@prefix skolem: <https://eyereasoner.github.io/.well-known/genid/8b98b360-9a70-4845-b52c-c675af60ad01#>.
@prefix r: <http://www.w3.org/2000/10/swap/reason#>.
@prefix : <http://example.org/ns#>.
@prefix n3: <http://www.w3.org/2004/06/rei#>.
@prefix var: <http://www.w3.org/2000/10/swap/var#>.
@prefix list: <http://www.w3.org/2000/10/swap/list#>.

skolem:proof a r:Proof, r:Conjunction;
    r:component skolem:lemma1;
    r:gives {
        (1 0 1 0 0 1) :compute (1 0 1 0 1 0 "#").
        (1 0 1 1 1 1) :compute (1 1 0 0 0 0 "#").
        (1 1 1 1 1 1) :compute (1 0 0 0 0 0 0 "#").
        () :compute (1 "#").
    }.

skolem:lemma1 a r:Inference;
    r:gives {
        (1 0 1 0 0 1) :compute (1 0 1 0 1 0 "#").
        (1 0 1 1 1 1) :compute (1 1 0 0 0 0 "#").
        (1 1 1 1 1 1) :compute (1 0 0 0 0 0 0 "#").
        () :compute (1 "#").
    };
    r:evidence (
        skolem:lemma2
        skolem:lemma3
        skolem:lemma4
        skolem:lemma5
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1 0 1 0 1 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo (1 1 0 0 0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo (1 0 0 0 0 0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo (1 "#")];
    r:rule [ a r:Fact; r:gives {@forSome var:x_0, var:x_1, var:x_2, var:x_3. {
        (1 0 1 0 0 1) :compute var:x_0.
        (1 0 1 1 1 1) :compute var:x_1.
        (1 1 1 1 1 1) :compute var:x_2.
        () :compute var:x_3.
    } => {
        (1 0 1 0 0 1) :compute var:x_0.
        (1 0 1 1 1 1) :compute var:x_1.
        (1 1 1 1 1 1) :compute var:x_2.
        () :compute var:x_3.
    }}].

skolem:lemma2 a r:Inference;
    r:gives {
        (1 0 1 0 0 1) :compute (1 0 1 0 1 0 "#").
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 0 1 0 0 1) list:firstRest (1 (0 1 0 0 1))}]
        skolem:lemma6
        skolem:lemma7
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1 0 1 0 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo (0 1 0 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo [ n3:uri "http://example.org/ns#add1"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1 0 1 0 1 0 "#")];
    r:rule skolem:lemma8.

skolem:lemma3 a r:Inference;
    r:gives {
        (1 0 1 1 1 1) :compute (1 1 0 0 0 0 "#").
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 0 1 1 1 1) list:firstRest (1 (0 1 1 1 1))}]
        skolem:lemma6
        skolem:lemma9
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1 0 1 1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo (0 1 1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo [ n3:uri "http://example.org/ns#add1"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1 1 0 0 0 0 "#")];
    r:rule skolem:lemma8.

skolem:lemma4 a r:Inference;
    r:gives {
        (1 1 1 1 1 1) :compute (1 0 0 0 0 0 0 "#").
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 1 1 1 1 1) list:firstRest (1 (1 1 1 1 1))}]
        skolem:lemma6
        skolem:lemma10
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1 1 1 1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo (1 1 1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo [ n3:uri "http://example.org/ns#add1"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1 0 0 0 0 0 0 "#")];
    r:rule skolem:lemma8.

skolem:lemma5 a r:Inference;
    r:gives {
        () :compute (1 "#").
    };
    r:evidence (
        skolem:lemma6
        skolem:lemma11
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo [ n3:uri "http://example.org/ns#add1"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo (1 "#")];
    r:rule skolem:lemma12.

skolem:lemma6 a r:Extraction;
    r:gives {
        :add1 :start 0 .
    };
    r:because [ a r:Parsing; r:source <https://eyereasoner.github.io/eye/reasoning/turing/turing.n3>].

skolem:lemma7 a r:Inference;
    r:gives {
        (0 () 1 (0 1 0 0 1)) :find (1 0 1 0 1 0 "#").
    };
    r:evidence (
        skolem:lemma13
        skolem:lemma14
        skolem:lemma15
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo [ n3:uri "http://example.org/ns#right"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo ()];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo (0 1 0 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_9"]; r:boundTo (1 0 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_10"]; r:boundTo (1 0 1 0 1 0 "#")];
    r:rule skolem:lemma16.

skolem:lemma8 a r:Extraction;
    r:gives {
        @forAll var:x_0, var:x_1, var:x_2, var:x_3, var:x_4, var:x_5. {
            var:x_0 :compute var:x_5.
        } <= {
            var:x_0 list:firstRest (var:x_1 var:x_2).
            var:x_3 :start var:x_4.
            (var:x_4 () var:x_1 var:x_2) :find var:x_5.
        }.
    };
    r:because [ a r:Parsing; r:source <https://eyereasoner.github.io/eye/reasoning/turing/turing.n3>].

skolem:lemma9 a r:Inference;
    r:gives {
        (0 () 1 (0 1 1 1 1)) :find (1 1 0 0 0 0 "#").
    };
    r:evidence (
        skolem:lemma13
        skolem:lemma17
        skolem:lemma18
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo [ n3:uri "http://example.org/ns#right"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo ()];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo (0 1 1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_9"]; r:boundTo (1 1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_10"]; r:boundTo (1 1 0 0 0 0 "#")];
    r:rule skolem:lemma16.

skolem:lemma10 a r:Inference;
    r:gives {
        (0 () 1 (1 1 1 1 1)) :find (1 0 0 0 0 0 0 "#").
    };
    r:evidence (
        skolem:lemma13
        skolem:lemma19
        skolem:lemma20
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo [ n3:uri "http://example.org/ns#right"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo ()];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo (1 1 1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_9"]; r:boundTo (1 1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_10"]; r:boundTo (1 0 0 0 0 0 0 "#")];
    r:rule skolem:lemma16.

skolem:lemma11 a r:Inference;
    r:gives {
        (0 () "#" ()) :find (1 "#").
    };
    r:evidence (
        skolem:lemma21
        skolem:lemma22
        skolem:lemma23
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo "#"];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo "#"];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo [ n3:uri "http://example.org/ns#left"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo ()];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo ()];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo ()];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo "#"];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_9"]; r:boundTo ("#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_10"]; r:boundTo (1 "#")];
    r:rule skolem:lemma16.

skolem:lemma12 a r:Extraction;
    r:gives {
        @forAll var:x_0, var:x_1, var:x_2. {
            () :compute var:x_2.
        } <= {
            var:x_0 :start var:x_1.
            (var:x_1 () "#" ()) :find var:x_2.
        }.
    };
    r:because [ a r:Parsing; r:source <https://eyereasoner.github.io/eye/reasoning/turing/turing.n3>].

skolem:lemma13 a r:Extraction;
    r:gives {
        (0 1 1 :right) :tape 0 .
    };
    r:because [ a r:Parsing; r:source <https://eyereasoner.github.io/eye/reasoning/turing/turing.n3>].

skolem:lemma14 a r:Inference;
    r:gives {
        (:right () 1 (0 1 0 0 1) (1) 0 (1 0 0 1)) :move true.
    };
    r:evidence (
        [ a r:Fact; r:gives {(0 1 0 0 1) list:firstRest (0 (1 0 0 1))}]
        [ a r:Fact; r:gives {(1) list:firstRest (1 ())}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (0 1 0 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo (1 0 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo ()];
    r:rule skolem:lemma24.

skolem:lemma15 a r:Inference;
    r:gives {
        (0 (1) 0 (1 0 0 1)) :continue (1 0 1 0 1 0 "#").
    };
    r:evidence (
        skolem:lemma25
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo (1 0 1 0 1 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo (1 0 0 1)];
    r:rule skolem:lemma26.

skolem:lemma16 a r:Extraction;
    r:gives {
        @forAll var:x_0, var:x_1, var:x_2, var:x_3, var:x_4, var:x_5, var:x_6, var:x_7, var:x_8, var:x_9, var:x_10. {
            (var:x_0 var:x_5 var:x_1 var:x_6) :find var:x_10.
        } <= {
            (var:x_0 var:x_1 var:x_2 var:x_3) :tape var:x_4.
            (var:x_3 var:x_5 var:x_2 var:x_6 var:x_7 var:x_8 var:x_9) :move true.
            (var:x_4 var:x_7 var:x_8 var:x_9) :continue var:x_10.
        }.
    };
    r:because [ a r:Parsing; r:source <https://eyereasoner.github.io/eye/reasoning/turing/turing.n3>].

skolem:lemma17 a r:Inference;
    r:gives {
        (:right () 1 (0 1 1 1 1) (1) 0 (1 1 1 1)) :move true.
    };
    r:evidence (
        [ a r:Fact; r:gives {(0 1 1 1 1) list:firstRest (0 (1 1 1 1))}]
        [ a r:Fact; r:gives {(1) list:firstRest (1 ())}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (0 1 1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo (1 1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo ()];
    r:rule skolem:lemma24.

skolem:lemma18 a r:Inference;
    r:gives {
        (0 (1) 0 (1 1 1 1)) :continue (1 1 0 0 0 0 "#").
    };
    r:evidence (
        skolem:lemma27
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo (1 1 0 0 0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo (1 1 1 1)];
    r:rule skolem:lemma26.

skolem:lemma19 a r:Inference;
    r:gives {
        (:right () 1 (1 1 1 1 1) (1) 1 (1 1 1 1)) :move true.
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 1 1 1 1) list:firstRest (1 (1 1 1 1))}]
        [ a r:Fact; r:gives {(1) list:firstRest (1 ())}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1 1 1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo (1 1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo ()];
    r:rule skolem:lemma24.

skolem:lemma20 a r:Inference;
    r:gives {
        (0 (1) 1 (1 1 1 1)) :continue (1 0 0 0 0 0 0 "#").
    };
    r:evidence (
        skolem:lemma28
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo (1 0 0 0 0 0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo (1 1 1 1)];
    r:rule skolem:lemma26.

skolem:lemma21 a r:Extraction;
    r:gives {
        (0 "#" "#" :left) :tape 1 .
    };
    r:because [ a r:Parsing; r:source <https://eyereasoner.github.io/eye/reasoning/turing/turing.n3>].

skolem:lemma22 a r:Inference;
    r:gives {
        (:left () "#" () () "#" ("#")) :move true.
    };
    r:evidence (
        [ a r:Fact; r:gives {("#") list:firstRest ("#" ())}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo ("#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo "#"];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo ()];
    r:rule skolem:lemma29.

skolem:lemma23 a r:Inference;
    r:gives {
        (1 () "#" ("#")) :continue (1 "#").
    };
    r:evidence (
        skolem:lemma30
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo (1 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo ()];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo "#"];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo ("#")];
    r:rule skolem:lemma26.

skolem:lemma24 a r:Extraction;
    r:gives {
        @forAll var:x_0, var:x_1, var:x_2, var:x_3, var:x_4, var:x_5. {
            (:right var:x_5 var:x_4 var:x_0 var:x_3 var:x_1 var:x_2) :move true.
        } <= {
            var:x_0 list:firstRest (var:x_1 var:x_2).
            var:x_3 list:firstRest (var:x_4 var:x_5).
        }.
    };
    r:because [ a r:Parsing; r:source <https://eyereasoner.github.io/eye/reasoning/turing/turing.n3>].

skolem:lemma25 a r:Inference;
    r:gives {
        (0 (1) 0 (1 0 0 1)) :find (1 0 1 0 1 0 "#").
    };
    r:evidence (
        skolem:lemma31
        skolem:lemma32
        skolem:lemma33
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo [ n3:uri "http://example.org/ns#right"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo (1 0 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo (0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_9"]; r:boundTo (0 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_10"]; r:boundTo (1 0 1 0 1 0 "#")];
    r:rule skolem:lemma16.

skolem:lemma26 a r:Extraction;
    r:gives {
        @forAll var:x_0, var:x_1, var:x_2, var:x_3, var:x_4. {
            (var:x_0 var:x_1 var:x_2 var:x_3) :continue var:x_4.
        } <= {
            (var:x_0 var:x_1 var:x_2 var:x_3) :find var:x_4.
        }.
    };
    r:because [ a r:Parsing; r:source <https://eyereasoner.github.io/eye/reasoning/turing/turing.n3>].

skolem:lemma27 a r:Inference;
    r:gives {
        (0 (1) 0 (1 1 1 1)) :find (1 1 0 0 0 0 "#").
    };
    r:evidence (
        skolem:lemma31
        skolem:lemma34
        skolem:lemma35
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo [ n3:uri "http://example.org/ns#right"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo (1 1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo (0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_9"]; r:boundTo (1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_10"]; r:boundTo (1 1 0 0 0 0 "#")];
    r:rule skolem:lemma16.

skolem:lemma28 a r:Inference;
    r:gives {
        (0 (1) 1 (1 1 1 1)) :find (1 0 0 0 0 0 0 "#").
    };
    r:evidence (
        skolem:lemma13
        skolem:lemma36
        skolem:lemma37
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo [ n3:uri "http://example.org/ns#right"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo (1 1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo (1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_9"]; r:boundTo (1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_10"]; r:boundTo (1 0 0 0 0 0 0 "#")];
    r:rule skolem:lemma16.

skolem:lemma29 a r:Extraction;
    r:gives {
        @forAll var:x_0, var:x_1, var:x_2. {
            (:left () var:x_1 var:x_2 () "#" var:x_0) :move true.
        } <= {
            var:x_0 list:firstRest (var:x_1 var:x_2).
        }.
    };
    r:because [ a r:Parsing; r:source <https://eyereasoner.github.io/eye/reasoning/turing/turing.n3>].

skolem:lemma30 a r:Inference;
    r:gives {
        (1 () "#" ("#")) :find (1 "#").
    };
    r:evidence (
        skolem:lemma38
        skolem:lemma39
        skolem:lemma40
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo [ n3:uri "http://example.org/ns#halt"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo "#"];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo [ n3:uri "http://example.org/ns#stop"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo ()];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo ("#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo ()];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_9"]; r:boundTo ("#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_10"]; r:boundTo (1 "#")];
    r:rule skolem:lemma16.

skolem:lemma31 a r:Extraction;
    r:gives {
        (0 0 0 :right) :tape 0 .
    };
    r:because [ a r:Parsing; r:source <https://eyereasoner.github.io/eye/reasoning/turing/turing.n3>].

skolem:lemma32 a r:Inference;
    r:gives {
        (:right (1) 0 (1 0 0 1) (0 1) 1 (0 0 1)) :move true.
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 0 0 1) list:firstRest (1 (0 0 1))}]
        [ a r:Fact; r:gives {(0 1) list:firstRest (0 (1))}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1 0 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo (0 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo (0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1)];
    r:rule skolem:lemma24.

skolem:lemma33 a r:Inference;
    r:gives {
        (0 (0 1) 1 (0 0 1)) :continue (1 0 1 0 1 0 "#").
    };
    r:evidence (
        skolem:lemma41
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo (1 0 1 0 1 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo (0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo (0 0 1)];
    r:rule skolem:lemma26.

skolem:lemma34 a r:Inference;
    r:gives {
        (:right (1) 0 (1 1 1 1) (0 1) 1 (1 1 1)) :move true.
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 1 1 1) list:firstRest (1 (1 1 1))}]
        [ a r:Fact; r:gives {(0 1) list:firstRest (0 (1))}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1 1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo (1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo (0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1)];
    r:rule skolem:lemma24.

skolem:lemma35 a r:Inference;
    r:gives {
        (0 (0 1) 1 (1 1 1)) :continue (1 1 0 0 0 0 "#").
    };
    r:evidence (
        skolem:lemma42
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo (1 1 0 0 0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo (0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo (1 1 1)];
    r:rule skolem:lemma26.

skolem:lemma36 a r:Inference;
    r:gives {
        (:right (1) 1 (1 1 1 1) (1 1) 1 (1 1 1)) :move true.
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 1 1 1) list:firstRest (1 (1 1 1))}]
        [ a r:Fact; r:gives {(1 1) list:firstRest (1 (1))}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1 1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo (1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo (1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1)];
    r:rule skolem:lemma24.

skolem:lemma37 a r:Inference;
    r:gives {
        (0 (1 1) 1 (1 1 1)) :continue (1 0 0 0 0 0 0 "#").
    };
    r:evidence (
        skolem:lemma43
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo (1 0 0 0 0 0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo (1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo (1 1 1)];
    r:rule skolem:lemma26.

skolem:lemma38 a r:Extraction;
    r:gives {
        (1 "#" 1 :stop) :tape :halt.
    };
    r:because [ a r:Parsing; r:source <https://eyereasoner.github.io/eye/reasoning/turing/turing.n3>].

skolem:lemma39 a r:Inference;
    r:gives {
        (:stop () 1 ("#") () 1 ("#")) :move true.
    };
    r:evidence (
        [ a r:Fact; r:gives true]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo ()];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo ("#")];
    r:rule skolem:lemma44.

skolem:lemma40 a r:Inference;
    r:gives {
        (:halt () 1 ("#")) :continue (1 "#").
    };
    r:evidence (
        skolem:lemma45
        [ a r:Fact; r:gives {(1 "#") list:firstRest (1 ("#"))}]
        [ a r:Fact; r:gives {(() (1 "#")) list:append (1 "#")}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo ()];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo ()];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo (1 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo ("#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1 "#")];
    r:rule skolem:lemma46.

skolem:lemma41 a r:Inference;
    r:gives {
        (0 (0 1) 1 (0 0 1)) :find (1 0 1 0 1 0 "#").
    };
    r:evidence (
        skolem:lemma13
        skolem:lemma47
        skolem:lemma48
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo [ n3:uri "http://example.org/ns#right"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo (0 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo (1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_9"]; r:boundTo (0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_10"]; r:boundTo (1 0 1 0 1 0 "#")];
    r:rule skolem:lemma16.

skolem:lemma42 a r:Inference;
    r:gives {
        (0 (0 1) 1 (1 1 1)) :find (1 1 0 0 0 0 "#").
    };
    r:evidence (
        skolem:lemma13
        skolem:lemma49
        skolem:lemma50
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo [ n3:uri "http://example.org/ns#right"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo (1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo (1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_9"]; r:boundTo (1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_10"]; r:boundTo (1 1 0 0 0 0 "#")];
    r:rule skolem:lemma16.

skolem:lemma43 a r:Inference;
    r:gives {
        (0 (1 1) 1 (1 1 1)) :find (1 0 0 0 0 0 0 "#").
    };
    r:evidence (
        skolem:lemma13
        skolem:lemma51
        skolem:lemma52
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo [ n3:uri "http://example.org/ns#right"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo (1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo (1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_9"]; r:boundTo (1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_10"]; r:boundTo (1 0 0 0 0 0 0 "#")];
    r:rule skolem:lemma16.

skolem:lemma44 a r:Extraction;
    r:gives {
        @forSome var:x_0, var:x_1, var:x_2. {
            (:stop var:x_0 var:x_1 var:x_2 var:x_0 var:x_1 var:x_2) :move true.
        } <= true.
    };
    r:because [ a r:Parsing; r:source <https://eyereasoner.github.io/eye/reasoning/turing/turing.n3>].

skolem:lemma45 a r:Inference;
    r:gives {
        () :reverse ().
    };
    r:evidence (
        [ a r:Fact; r:gives true]
    );
    r:rule skolem:lemma53.

skolem:lemma46 a r:Extraction;
    r:gives {
        @forAll var:x_0, var:x_1, var:x_2, var:x_3, var:x_4, var:x_5. {
            (:halt var:x_0 var:x_3 var:x_4) :continue var:x_5.
        } <= {
            var:x_0 :reverse var:x_1.
            var:x_2 list:firstRest (var:x_3 var:x_4).
            (var:x_1 var:x_2) list:append var:x_5.
        }.
    };
    r:because [ a r:Parsing; r:source <https://eyereasoner.github.io/eye/reasoning/turing/turing.n3>].

skolem:lemma47 a r:Inference;
    r:gives {
        (:right (0 1) 1 (0 0 1) (1 0 1) 0 (0 1)) :move true.
    };
    r:evidence (
        [ a r:Fact; r:gives {(0 0 1) list:firstRest (0 (0 1))}]
        [ a r:Fact; r:gives {(1 0 1) list:firstRest (1 (0 1))}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (0 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo (0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo (1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (0 1)];
    r:rule skolem:lemma24.

skolem:lemma48 a r:Inference;
    r:gives {
        (0 (1 0 1) 0 (0 1)) :continue (1 0 1 0 1 0 "#").
    };
    r:evidence (
        skolem:lemma54
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo (1 0 1 0 1 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo (1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo (0 1)];
    r:rule skolem:lemma26.

skolem:lemma49 a r:Inference;
    r:gives {
        (:right (0 1) 1 (1 1 1) (1 0 1) 1 (1 1)) :move true.
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 1 1) list:firstRest (1 (1 1))}]
        [ a r:Fact; r:gives {(1 0 1) list:firstRest (1 (0 1))}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo (1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo (1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (0 1)];
    r:rule skolem:lemma24.

skolem:lemma50 a r:Inference;
    r:gives {
        (0 (1 0 1) 1 (1 1)) :continue (1 1 0 0 0 0 "#").
    };
    r:evidence (
        skolem:lemma55
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo (1 1 0 0 0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo (1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo (1 1)];
    r:rule skolem:lemma26.

skolem:lemma51 a r:Inference;
    r:gives {
        (:right (1 1) 1 (1 1 1) (1 1 1) 1 (1 1)) :move true.
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 1 1) list:firstRest (1 (1 1))}]
        [ a r:Fact; r:gives {(1 1 1) list:firstRest (1 (1 1))}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo (1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo (1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1 1)];
    r:rule skolem:lemma24.

skolem:lemma52 a r:Inference;
    r:gives {
        (0 (1 1 1) 1 (1 1)) :continue (1 0 0 0 0 0 0 "#").
    };
    r:evidence (
        skolem:lemma56
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo (1 0 0 0 0 0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo (1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo (1 1)];
    r:rule skolem:lemma26.

skolem:lemma53 a r:Extraction;
    r:gives {
        {
            () :reverse ().
        } <= true.
    };
    r:because [ a r:Parsing; r:source <https://eyereasoner.github.io/eye/reasoning/turing/turing.n3>].

skolem:lemma54 a r:Inference;
    r:gives {
        (0 (1 0 1) 0 (0 1)) :find (1 0 1 0 1 0 "#").
    };
    r:evidence (
        skolem:lemma31
        skolem:lemma57
        skolem:lemma58
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo [ n3:uri "http://example.org/ns#right"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo (0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo (0 1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_9"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_10"]; r:boundTo (1 0 1 0 1 0 "#")];
    r:rule skolem:lemma16.

skolem:lemma55 a r:Inference;
    r:gives {
        (0 (1 0 1) 1 (1 1)) :find (1 1 0 0 0 0 "#").
    };
    r:evidence (
        skolem:lemma13
        skolem:lemma59
        skolem:lemma60
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo [ n3:uri "http://example.org/ns#right"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo (1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo (1 1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_9"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_10"]; r:boundTo (1 1 0 0 0 0 "#")];
    r:rule skolem:lemma16.

skolem:lemma56 a r:Inference;
    r:gives {
        (0 (1 1 1) 1 (1 1)) :find (1 0 0 0 0 0 0 "#").
    };
    r:evidence (
        skolem:lemma13
        skolem:lemma61
        skolem:lemma62
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo [ n3:uri "http://example.org/ns#right"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo (1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo (1 1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_9"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_10"]; r:boundTo (1 0 0 0 0 0 0 "#")];
    r:rule skolem:lemma16.

skolem:lemma57 a r:Inference;
    r:gives {
        (:right (1 0 1) 0 (0 1) (0 1 0 1) 0 (1)) :move true.
    };
    r:evidence (
        [ a r:Fact; r:gives {(0 1) list:firstRest (0 (1))}]
        [ a r:Fact; r:gives {(0 1 0 1) list:firstRest (0 (1 0 1))}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo (0 1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1 0 1)];
    r:rule skolem:lemma24.

skolem:lemma58 a r:Inference;
    r:gives {
        (0 (0 1 0 1) 0 (1)) :continue (1 0 1 0 1 0 "#").
    };
    r:evidence (
        skolem:lemma63
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo (1 0 1 0 1 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo (0 1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo (1)];
    r:rule skolem:lemma26.

skolem:lemma59 a r:Inference;
    r:gives {
        (:right (1 0 1) 1 (1 1) (1 1 0 1) 1 (1)) :move true.
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 1) list:firstRest (1 (1))}]
        [ a r:Fact; r:gives {(1 1 0 1) list:firstRest (1 (1 0 1))}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo (1 1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1 0 1)];
    r:rule skolem:lemma24.

skolem:lemma60 a r:Inference;
    r:gives {
        (0 (1 1 0 1) 1 (1)) :continue (1 1 0 0 0 0 "#").
    };
    r:evidence (
        skolem:lemma64
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo (1 1 0 0 0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo (1 1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo (1)];
    r:rule skolem:lemma26.

skolem:lemma61 a r:Inference;
    r:gives {
        (:right (1 1 1) 1 (1 1) (1 1 1 1) 1 (1)) :move true.
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 1) list:firstRest (1 (1))}]
        [ a r:Fact; r:gives {(1 1 1 1) list:firstRest (1 (1 1 1))}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo (1 1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1 1 1)];
    r:rule skolem:lemma24.

skolem:lemma62 a r:Inference;
    r:gives {
        (0 (1 1 1 1) 1 (1)) :continue (1 0 0 0 0 0 0 "#").
    };
    r:evidence (
        skolem:lemma65
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo (1 0 0 0 0 0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo (1 1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo (1)];
    r:rule skolem:lemma26.

skolem:lemma63 a r:Inference;
    r:gives {
        (0 (0 1 0 1) 0 (1)) :find (1 0 1 0 1 0 "#").
    };
    r:evidence (
        skolem:lemma31
        skolem:lemma66
        skolem:lemma67
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo [ n3:uri "http://example.org/ns#right"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (0 1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo (0 0 1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_9"]; r:boundTo ()];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_10"]; r:boundTo (1 0 1 0 1 0 "#")];
    r:rule skolem:lemma16.

skolem:lemma64 a r:Inference;
    r:gives {
        (0 (1 1 0 1) 1 (1)) :find (1 1 0 0 0 0 "#").
    };
    r:evidence (
        skolem:lemma13
        skolem:lemma68
        skolem:lemma69
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo [ n3:uri "http://example.org/ns#right"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1 1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo (1 1 1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_9"]; r:boundTo ()];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_10"]; r:boundTo (1 1 0 0 0 0 "#")];
    r:rule skolem:lemma16.

skolem:lemma65 a r:Inference;
    r:gives {
        (0 (1 1 1 1) 1 (1)) :find (1 0 0 0 0 0 0 "#").
    };
    r:evidence (
        skolem:lemma13
        skolem:lemma70
        skolem:lemma71
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo [ n3:uri "http://example.org/ns#right"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1 1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo (1 1 1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_9"]; r:boundTo ()];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_10"]; r:boundTo (1 0 0 0 0 0 0 "#")];
    r:rule skolem:lemma16.

skolem:lemma66 a r:Inference;
    r:gives {
        (:right (0 1 0 1) 0 (1) (0 0 1 0 1) 1 ()) :move true.
    };
    r:evidence (
        [ a r:Fact; r:gives {(1) list:firstRest (1 ())}]
        [ a r:Fact; r:gives {(0 0 1 0 1) list:firstRest (0 (0 1 0 1))}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo ()];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo (0 0 1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (0 1 0 1)];
    r:rule skolem:lemma24.

skolem:lemma67 a r:Inference;
    r:gives {
        (0 (0 0 1 0 1) 1 ()) :continue (1 0 1 0 1 0 "#").
    };
    r:evidence (
        skolem:lemma72
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo (1 0 1 0 1 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo (0 0 1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo ()];
    r:rule skolem:lemma26.

skolem:lemma68 a r:Inference;
    r:gives {
        (:right (1 1 0 1) 1 (1) (1 1 1 0 1) 1 ()) :move true.
    };
    r:evidence (
        [ a r:Fact; r:gives {(1) list:firstRest (1 ())}]
        [ a r:Fact; r:gives {(1 1 1 0 1) list:firstRest (1 (1 1 0 1))}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo ()];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo (1 1 1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1 1 0 1)];
    r:rule skolem:lemma24.

skolem:lemma69 a r:Inference;
    r:gives {
        (0 (1 1 1 0 1) 1 ()) :continue (1 1 0 0 0 0 "#").
    };
    r:evidence (
        skolem:lemma73
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo (1 1 0 0 0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo (1 1 1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo ()];
    r:rule skolem:lemma26.

skolem:lemma70 a r:Inference;
    r:gives {
        (:right (1 1 1 1) 1 (1) (1 1 1 1 1) 1 ()) :move true.
    };
    r:evidence (
        [ a r:Fact; r:gives {(1) list:firstRest (1 ())}]
        [ a r:Fact; r:gives {(1 1 1 1 1) list:firstRest (1 (1 1 1 1))}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo ()];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo (1 1 1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1 1 1 1)];
    r:rule skolem:lemma24.

skolem:lemma71 a r:Inference;
    r:gives {
        (0 (1 1 1 1 1) 1 ()) :continue (1 0 0 0 0 0 0 "#").
    };
    r:evidence (
        skolem:lemma74
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo (1 0 0 0 0 0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo (1 1 1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo ()];
    r:rule skolem:lemma26.

skolem:lemma72 a r:Inference;
    r:gives {
        (0 (0 0 1 0 1) 1 ()) :find (1 0 1 0 1 0 "#").
    };
    r:evidence (
        skolem:lemma13
        skolem:lemma75
        skolem:lemma76
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo [ n3:uri "http://example.org/ns#right"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (0 0 1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo ()];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo (1 0 0 1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo "#"];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_9"]; r:boundTo ()];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_10"]; r:boundTo (1 0 1 0 1 0 "#")];
    r:rule skolem:lemma16.

skolem:lemma73 a r:Inference;
    r:gives {
        (0 (1 1 1 0 1) 1 ()) :find (1 1 0 0 0 0 "#").
    };
    r:evidence (
        skolem:lemma13
        skolem:lemma77
        skolem:lemma78
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo [ n3:uri "http://example.org/ns#right"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1 1 1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo ()];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo (1 1 1 1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo "#"];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_9"]; r:boundTo ()];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_10"]; r:boundTo (1 1 0 0 0 0 "#")];
    r:rule skolem:lemma16.

skolem:lemma74 a r:Inference;
    r:gives {
        (0 (1 1 1 1 1) 1 ()) :find (1 0 0 0 0 0 0 "#").
    };
    r:evidence (
        skolem:lemma13
        skolem:lemma79
        skolem:lemma80
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo [ n3:uri "http://example.org/ns#right"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1 1 1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo ()];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo (1 1 1 1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo "#"];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_9"]; r:boundTo ()];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_10"]; r:boundTo (1 0 0 0 0 0 0 "#")];
    r:rule skolem:lemma16.

skolem:lemma75 a r:Inference;
    r:gives {
        (:right (0 0 1 0 1) 1 () (1 0 0 1 0 1) "#" ()) :move true.
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 0 0 1 0 1) list:firstRest (1 (0 0 1 0 1))}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1 0 0 1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo (0 0 1 0 1)];
    r:rule skolem:lemma81.

skolem:lemma76 a r:Inference;
    r:gives {
        (0 (1 0 0 1 0 1) "#" ()) :continue (1 0 1 0 1 0 "#").
    };
    r:evidence (
        skolem:lemma82
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo (1 0 1 0 1 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo (1 0 0 1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo "#"];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo ()];
    r:rule skolem:lemma26.

skolem:lemma77 a r:Inference;
    r:gives {
        (:right (1 1 1 0 1) 1 () (1 1 1 1 0 1) "#" ()) :move true.
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 1 1 1 0 1) list:firstRest (1 (1 1 1 0 1))}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1 1 1 1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo (1 1 1 0 1)];
    r:rule skolem:lemma81.

skolem:lemma78 a r:Inference;
    r:gives {
        (0 (1 1 1 1 0 1) "#" ()) :continue (1 1 0 0 0 0 "#").
    };
    r:evidence (
        skolem:lemma83
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo (1 1 0 0 0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo (1 1 1 1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo "#"];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo ()];
    r:rule skolem:lemma26.

skolem:lemma79 a r:Inference;
    r:gives {
        (:right (1 1 1 1 1) 1 () (1 1 1 1 1 1) "#" ()) :move true.
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 1 1 1 1 1) list:firstRest (1 (1 1 1 1 1))}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1 1 1 1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo (1 1 1 1 1)];
    r:rule skolem:lemma81.

skolem:lemma80 a r:Inference;
    r:gives {
        (0 (1 1 1 1 1 1) "#" ()) :continue (1 0 0 0 0 0 0 "#").
    };
    r:evidence (
        skolem:lemma84
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo (1 0 0 0 0 0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo (1 1 1 1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo "#"];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo ()];
    r:rule skolem:lemma26.

skolem:lemma81 a r:Extraction;
    r:gives {
        @forAll var:x_0, var:x_1, var:x_2. {
            (:right var:x_2 var:x_1 () var:x_0 "#" ()) :move true.
        } <= {
            var:x_0 list:firstRest (var:x_1 var:x_2).
        }.
    };
    r:because [ a r:Parsing; r:source <https://eyereasoner.github.io/eye/reasoning/turing/turing.n3>].

skolem:lemma82 a r:Inference;
    r:gives {
        (0 (1 0 0 1 0 1) "#" ()) :find (1 0 1 0 1 0 "#").
    };
    r:evidence (
        skolem:lemma21
        skolem:lemma85
        skolem:lemma86
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo "#"];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo "#"];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo [ n3:uri "http://example.org/ns#left"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1 0 0 1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo ()];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo (0 0 1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_9"]; r:boundTo ("#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_10"]; r:boundTo (1 0 1 0 1 0 "#")];
    r:rule skolem:lemma16.

skolem:lemma83 a r:Inference;
    r:gives {
        (0 (1 1 1 1 0 1) "#" ()) :find (1 1 0 0 0 0 "#").
    };
    r:evidence (
        skolem:lemma21
        skolem:lemma87
        skolem:lemma88
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo "#"];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo "#"];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo [ n3:uri "http://example.org/ns#left"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1 1 1 1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo ()];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo (1 1 1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_9"]; r:boundTo ("#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_10"]; r:boundTo (1 1 0 0 0 0 "#")];
    r:rule skolem:lemma16.

skolem:lemma84 a r:Inference;
    r:gives {
        (0 (1 1 1 1 1 1) "#" ()) :find (1 0 0 0 0 0 0 "#").
    };
    r:evidence (
        skolem:lemma21
        skolem:lemma89
        skolem:lemma90
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo "#"];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo "#"];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo [ n3:uri "http://example.org/ns#left"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1 1 1 1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo ()];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo (1 1 1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_9"]; r:boundTo ("#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_10"]; r:boundTo (1 0 0 0 0 0 0 "#")];
    r:rule skolem:lemma16.

skolem:lemma85 a r:Inference;
    r:gives {
        (:left (1 0 0 1 0 1) "#" () (0 0 1 0 1) 1 ("#")) :move true.
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 0 0 1 0 1) list:firstRest (1 (0 0 1 0 1))}]
        [ a r:Fact; r:gives {("#") list:firstRest ("#" ())}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1 0 0 1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo (0 0 1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo ("#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo "#"];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo ()];
    r:rule skolem:lemma91.

skolem:lemma86 a r:Inference;
    r:gives {
        (1 (0 0 1 0 1) 1 ("#")) :continue (1 0 1 0 1 0 "#").
    };
    r:evidence (
        skolem:lemma92
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo (1 0 1 0 1 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo (0 0 1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo ("#")];
    r:rule skolem:lemma26.

skolem:lemma87 a r:Inference;
    r:gives {
        (:left (1 1 1 1 0 1) "#" () (1 1 1 0 1) 1 ("#")) :move true.
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 1 1 1 0 1) list:firstRest (1 (1 1 1 0 1))}]
        [ a r:Fact; r:gives {("#") list:firstRest ("#" ())}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1 1 1 1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo (1 1 1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo ("#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo "#"];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo ()];
    r:rule skolem:lemma91.

skolem:lemma88 a r:Inference;
    r:gives {
        (1 (1 1 1 0 1) 1 ("#")) :continue (1 1 0 0 0 0 "#").
    };
    r:evidence (
        skolem:lemma93
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo (1 1 0 0 0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo (1 1 1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo ("#")];
    r:rule skolem:lemma26.

skolem:lemma89 a r:Inference;
    r:gives {
        (:left (1 1 1 1 1 1) "#" () (1 1 1 1 1) 1 ("#")) :move true.
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 1 1 1 1 1) list:firstRest (1 (1 1 1 1 1))}]
        [ a r:Fact; r:gives {("#") list:firstRest ("#" ())}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1 1 1 1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo (1 1 1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo ("#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo "#"];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo ()];
    r:rule skolem:lemma91.

skolem:lemma90 a r:Inference;
    r:gives {
        (1 (1 1 1 1 1) 1 ("#")) :continue (1 0 0 0 0 0 0 "#").
    };
    r:evidence (
        skolem:lemma94
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo (1 0 0 0 0 0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo (1 1 1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo ("#")];
    r:rule skolem:lemma26.

skolem:lemma91 a r:Extraction;
    r:gives {
        @forAll var:x_0, var:x_1, var:x_2, var:x_3, var:x_4, var:x_5. {
            (:left var:x_0 var:x_4 var:x_5 var:x_2 var:x_1 var:x_3) :move true.
        } <= {
            var:x_0 list:firstRest (var:x_1 var:x_2).
            var:x_3 list:firstRest (var:x_4 var:x_5).
        }.
    };
    r:because [ a r:Parsing; r:source <https://eyereasoner.github.io/eye/reasoning/turing/turing.n3>].

skolem:lemma92 a r:Inference;
    r:gives {
        (1 (0 0 1 0 1) 1 ("#")) :find (1 0 1 0 1 0 "#").
    };
    r:evidence (
        skolem:lemma95
        skolem:lemma96
        skolem:lemma97
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo [ n3:uri "http://example.org/ns#left"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (0 0 1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo ("#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo (0 1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_9"]; r:boundTo (0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_10"]; r:boundTo (1 0 1 0 1 0 "#")];
    r:rule skolem:lemma16.

skolem:lemma93 a r:Inference;
    r:gives {
        (1 (1 1 1 0 1) 1 ("#")) :find (1 1 0 0 0 0 "#").
    };
    r:evidence (
        skolem:lemma95
        skolem:lemma98
        skolem:lemma99
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo [ n3:uri "http://example.org/ns#left"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1 1 1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo ("#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo (1 1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_9"]; r:boundTo (0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_10"]; r:boundTo (1 1 0 0 0 0 "#")];
    r:rule skolem:lemma16.

skolem:lemma94 a r:Inference;
    r:gives {
        (1 (1 1 1 1 1) 1 ("#")) :find (1 0 0 0 0 0 0 "#").
    };
    r:evidence (
        skolem:lemma95
        skolem:lemma100
        skolem:lemma101
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo [ n3:uri "http://example.org/ns#left"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1 1 1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo ("#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo (1 1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_9"]; r:boundTo (0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_10"]; r:boundTo (1 0 0 0 0 0 0 "#")];
    r:rule skolem:lemma16.

skolem:lemma95 a r:Extraction;
    r:gives {
        (1 1 0 :left) :tape 1 .
    };
    r:because [ a r:Parsing; r:source <https://eyereasoner.github.io/eye/reasoning/turing/turing.n3>].

skolem:lemma96 a r:Inference;
    r:gives {
        (:left (0 0 1 0 1) 0 ("#") (0 1 0 1) 0 (0 "#")) :move true.
    };
    r:evidence (
        [ a r:Fact; r:gives {(0 0 1 0 1) list:firstRest (0 (0 1 0 1))}]
        [ a r:Fact; r:gives {(0 "#") list:firstRest (0 ("#"))}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (0 0 1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo (0 1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo (0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo ("#")];
    r:rule skolem:lemma91.

skolem:lemma97 a r:Inference;
    r:gives {
        (1 (0 1 0 1) 0 (0 "#")) :continue (1 0 1 0 1 0 "#").
    };
    r:evidence (
        skolem:lemma102
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo (1 0 1 0 1 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo (0 1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo (0 "#")];
    r:rule skolem:lemma26.

skolem:lemma98 a r:Inference;
    r:gives {
        (:left (1 1 1 0 1) 0 ("#") (1 1 0 1) 1 (0 "#")) :move true.
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 1 1 0 1) list:firstRest (1 (1 1 0 1))}]
        [ a r:Fact; r:gives {(0 "#") list:firstRest (0 ("#"))}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1 1 1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo (1 1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo (0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo ("#")];
    r:rule skolem:lemma91.

skolem:lemma99 a r:Inference;
    r:gives {
        (1 (1 1 0 1) 1 (0 "#")) :continue (1 1 0 0 0 0 "#").
    };
    r:evidence (
        skolem:lemma103
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo (1 1 0 0 0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo (1 1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo (0 "#")];
    r:rule skolem:lemma26.

skolem:lemma100 a r:Inference;
    r:gives {
        (:left (1 1 1 1 1) 0 ("#") (1 1 1 1) 1 (0 "#")) :move true.
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 1 1 1 1) list:firstRest (1 (1 1 1 1))}]
        [ a r:Fact; r:gives {(0 "#") list:firstRest (0 ("#"))}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1 1 1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo (1 1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo (0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo ("#")];
    r:rule skolem:lemma91.

skolem:lemma101 a r:Inference;
    r:gives {
        (1 (1 1 1 1) 1 (0 "#")) :continue (1 0 0 0 0 0 0 "#").
    };
    r:evidence (
        skolem:lemma104
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo (1 0 0 0 0 0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo (1 1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo (0 "#")];
    r:rule skolem:lemma26.

skolem:lemma102 a r:Inference;
    r:gives {
        (1 (0 1 0 1) 0 (0 "#")) :find (1 0 1 0 1 0 "#").
    };
    r:evidence (
        skolem:lemma105
        skolem:lemma106
        skolem:lemma107
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo [ n3:uri "http://example.org/ns#halt"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo [ n3:uri "http://example.org/ns#stop"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (0 1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo (0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo (0 1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_9"]; r:boundTo (0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_10"]; r:boundTo (1 0 1 0 1 0 "#")];
    r:rule skolem:lemma16.

skolem:lemma103 a r:Inference;
    r:gives {
        (1 (1 1 0 1) 1 (0 "#")) :find (1 1 0 0 0 0 "#").
    };
    r:evidence (
        skolem:lemma95
        skolem:lemma108
        skolem:lemma109
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo [ n3:uri "http://example.org/ns#left"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1 1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo (0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo (1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_9"]; r:boundTo (0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_10"]; r:boundTo (1 1 0 0 0 0 "#")];
    r:rule skolem:lemma16.

skolem:lemma104 a r:Inference;
    r:gives {
        (1 (1 1 1 1) 1 (0 "#")) :find (1 0 0 0 0 0 0 "#").
    };
    r:evidence (
        skolem:lemma95
        skolem:lemma110
        skolem:lemma111
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo [ n3:uri "http://example.org/ns#left"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1 1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo (0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo (1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_9"]; r:boundTo (0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_10"]; r:boundTo (1 0 0 0 0 0 0 "#")];
    r:rule skolem:lemma16.

skolem:lemma105 a r:Extraction;
    r:gives {
        (1 0 1 :stop) :tape :halt.
    };
    r:because [ a r:Parsing; r:source <https://eyereasoner.github.io/eye/reasoning/turing/turing.n3>].

skolem:lemma106 a r:Inference;
    r:gives {
        (:stop (0 1 0 1) 1 (0 "#") (0 1 0 1) 1 (0 "#")) :move true.
    };
    r:evidence (
        [ a r:Fact; r:gives true]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (0 1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo (0 "#")];
    r:rule skolem:lemma44.

skolem:lemma107 a r:Inference;
    r:gives {
        (:halt (0 1 0 1) 1 (0 "#")) :continue (1 0 1 0 1 0 "#").
    };
    r:evidence (
        skolem:lemma112
        [ a r:Fact; r:gives {(1 0 "#") list:firstRest (1 (0 "#"))}]
        [ a r:Fact; r:gives {((1 0 1 0) (1 0 "#")) list:append (1 0 1 0 1 0 "#")}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (0 1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo (1 0 1 0)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo (1 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo (0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1 0 1 0 1 0 "#")];
    r:rule skolem:lemma46.

skolem:lemma108 a r:Inference;
    r:gives {
        (:left (1 1 0 1) 0 (0 "#") (1 0 1) 1 (0 0 "#")) :move true.
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 1 0 1) list:firstRest (1 (1 0 1))}]
        [ a r:Fact; r:gives {(0 0 "#") list:firstRest (0 (0 "#"))}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1 1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo (1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo (0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (0 "#")];
    r:rule skolem:lemma91.

skolem:lemma109 a r:Inference;
    r:gives {
        (1 (1 0 1) 1 (0 0 "#")) :continue (1 1 0 0 0 0 "#").
    };
    r:evidence (
        skolem:lemma113
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo (1 1 0 0 0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo (1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo (0 0 "#")];
    r:rule skolem:lemma26.

skolem:lemma110 a r:Inference;
    r:gives {
        (:left (1 1 1 1) 0 (0 "#") (1 1 1) 1 (0 0 "#")) :move true.
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 1 1 1) list:firstRest (1 (1 1 1))}]
        [ a r:Fact; r:gives {(0 0 "#") list:firstRest (0 (0 "#"))}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1 1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo (1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo (0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (0 "#")];
    r:rule skolem:lemma91.

skolem:lemma111 a r:Inference;
    r:gives {
        (1 (1 1 1) 1 (0 0 "#")) :continue (1 0 0 0 0 0 0 "#").
    };
    r:evidence (
        skolem:lemma114
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo (1 0 0 0 0 0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo (1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo (0 0 "#")];
    r:rule skolem:lemma26.

skolem:lemma112 a r:Inference;
    r:gives {
        (0 1 0 1) :reverse (1 0 1 0).
    };
    r:evidence (
        [ a r:Fact; r:gives {(0 1 0 1) list:firstRest (0 (1 0 1))}]
        skolem:lemma115
        [ a r:Fact; r:gives {((1 0 1) (0)) list:append (1 0 1 0)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (0 1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo (1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo (1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo (1 0 1 0)];
    r:rule skolem:lemma116.

skolem:lemma113 a r:Inference;
    r:gives {
        (1 (1 0 1) 1 (0 0 "#")) :find (1 1 0 0 0 0 "#").
    };
    r:evidence (
        skolem:lemma95
        skolem:lemma117
        skolem:lemma118
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo [ n3:uri "http://example.org/ns#left"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo (0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo (0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_9"]; r:boundTo (0 0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_10"]; r:boundTo (1 1 0 0 0 0 "#")];
    r:rule skolem:lemma16.

skolem:lemma114 a r:Inference;
    r:gives {
        (1 (1 1 1) 1 (0 0 "#")) :find (1 0 0 0 0 0 0 "#").
    };
    r:evidence (
        skolem:lemma95
        skolem:lemma119
        skolem:lemma120
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo [ n3:uri "http://example.org/ns#left"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo (0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo (1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_9"]; r:boundTo (0 0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_10"]; r:boundTo (1 0 0 0 0 0 0 "#")];
    r:rule skolem:lemma16.

skolem:lemma115 a r:Inference;
    r:gives {
        (1 0 1) :reverse (1 0 1).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 0 1) list:firstRest (1 (0 1))}]
        skolem:lemma121
        [ a r:Fact; r:gives {((1 0) (1)) list:append (1 0 1)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo (0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo (1 0)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo (1 0 1)];
    r:rule skolem:lemma116.

skolem:lemma116 a r:Extraction;
    r:gives {
        @forAll var:x_0, var:x_1, var:x_2, var:x_3, var:x_4. {
            var:x_0 :reverse var:x_4.
        } <= {
            var:x_0 list:firstRest (var:x_1 var:x_2).
            var:x_2 :reverse var:x_3.
            (var:x_3 (var:x_1)) list:append var:x_4.
        }.
    };
    r:because [ a r:Parsing; r:source <https://eyereasoner.github.io/eye/reasoning/turing/turing.n3>].

skolem:lemma117 a r:Inference;
    r:gives {
        (:left (1 0 1) 0 (0 0 "#") (0 1) 1 (0 0 0 "#")) :move true.
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 0 1) list:firstRest (1 (0 1))}]
        [ a r:Fact; r:gives {(0 0 0 "#") list:firstRest (0 (0 0 "#"))}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1 0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo (0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo (0 0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (0 0 "#")];
    r:rule skolem:lemma91.

skolem:lemma118 a r:Inference;
    r:gives {
        (1 (0 1) 1 (0 0 0 "#")) :continue (1 1 0 0 0 0 "#").
    };
    r:evidence (
        skolem:lemma122
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo (1 1 0 0 0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo (0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo (0 0 0 "#")];
    r:rule skolem:lemma26.

skolem:lemma119 a r:Inference;
    r:gives {
        (:left (1 1 1) 0 (0 0 "#") (1 1) 1 (0 0 0 "#")) :move true.
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 1 1) list:firstRest (1 (1 1))}]
        [ a r:Fact; r:gives {(0 0 0 "#") list:firstRest (0 (0 0 "#"))}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo (1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo (0 0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (0 0 "#")];
    r:rule skolem:lemma91.

skolem:lemma120 a r:Inference;
    r:gives {
        (1 (1 1) 1 (0 0 0 "#")) :continue (1 0 0 0 0 0 0 "#").
    };
    r:evidence (
        skolem:lemma123
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo (1 0 0 0 0 0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo (1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo (0 0 0 "#")];
    r:rule skolem:lemma26.

skolem:lemma121 a r:Inference;
    r:gives {
        (0 1) :reverse (1 0).
    };
    r:evidence (
        [ a r:Fact; r:gives {(0 1) list:firstRest (0 (1))}]
        skolem:lemma124
        [ a r:Fact; r:gives {((1) (0)) list:append (1 0)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo (1 0)];
    r:rule skolem:lemma116.

skolem:lemma122 a r:Inference;
    r:gives {
        (1 (0 1) 1 (0 0 0 "#")) :find (1 1 0 0 0 0 "#").
    };
    r:evidence (
        skolem:lemma95
        skolem:lemma125
        skolem:lemma126
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo [ n3:uri "http://example.org/ns#left"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo (0 0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_9"]; r:boundTo (0 0 0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_10"]; r:boundTo (1 1 0 0 0 0 "#")];
    r:rule skolem:lemma16.

skolem:lemma123 a r:Inference;
    r:gives {
        (1 (1 1) 1 (0 0 0 "#")) :find (1 0 0 0 0 0 0 "#").
    };
    r:evidence (
        skolem:lemma95
        skolem:lemma127
        skolem:lemma128
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo [ n3:uri "http://example.org/ns#left"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo (0 0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_9"]; r:boundTo (0 0 0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_10"]; r:boundTo (1 0 0 0 0 0 0 "#")];
    r:rule skolem:lemma16.

skolem:lemma124 a r:Inference;
    r:gives {
        (1) :reverse (1).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1) list:firstRest (1 ())}]
        skolem:lemma45
        [ a r:Fact; r:gives {(() (1)) list:append (1)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo ()];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo ()];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo (1)];
    r:rule skolem:lemma116.

skolem:lemma125 a r:Inference;
    r:gives {
        (:left (0 1) 0 (0 0 0 "#") (1) 0 (0 0 0 0 "#")) :move true.
    };
    r:evidence (
        [ a r:Fact; r:gives {(0 1) list:firstRest (0 (1))}]
        [ a r:Fact; r:gives {(0 0 0 0 "#") list:firstRest (0 (0 0 0 "#"))}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo (0 0 0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (0 0 0 "#")];
    r:rule skolem:lemma91.

skolem:lemma126 a r:Inference;
    r:gives {
        (1 (1) 0 (0 0 0 0 "#")) :continue (1 1 0 0 0 0 "#").
    };
    r:evidence (
        skolem:lemma129
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo (1 1 0 0 0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo (0 0 0 0 "#")];
    r:rule skolem:lemma26.

skolem:lemma127 a r:Inference;
    r:gives {
        (:left (1 1) 0 (0 0 0 "#") (1) 1 (0 0 0 0 "#")) :move true.
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 1) list:firstRest (1 (1))}]
        [ a r:Fact; r:gives {(0 0 0 0 "#") list:firstRest (0 (0 0 0 "#"))}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo (0 0 0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (0 0 0 "#")];
    r:rule skolem:lemma91.

skolem:lemma128 a r:Inference;
    r:gives {
        (1 (1) 1 (0 0 0 0 "#")) :continue (1 0 0 0 0 0 0 "#").
    };
    r:evidence (
        skolem:lemma130
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo (1 0 0 0 0 0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo (0 0 0 0 "#")];
    r:rule skolem:lemma26.

skolem:lemma129 a r:Inference;
    r:gives {
        (1 (1) 0 (0 0 0 0 "#")) :find (1 1 0 0 0 0 "#").
    };
    r:evidence (
        skolem:lemma105
        skolem:lemma131
        skolem:lemma132
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo [ n3:uri "http://example.org/ns#halt"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo [ n3:uri "http://example.org/ns#stop"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo (0 0 0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_9"]; r:boundTo (0 0 0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_10"]; r:boundTo (1 1 0 0 0 0 "#")];
    r:rule skolem:lemma16.

skolem:lemma130 a r:Inference;
    r:gives {
        (1 (1) 1 (0 0 0 0 "#")) :find (1 0 0 0 0 0 0 "#").
    };
    r:evidence (
        skolem:lemma95
        skolem:lemma133
        skolem:lemma134
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo [ n3:uri "http://example.org/ns#left"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo (0 0 0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo ()];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_9"]; r:boundTo (0 0 0 0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_10"]; r:boundTo (1 0 0 0 0 0 0 "#")];
    r:rule skolem:lemma16.

skolem:lemma131 a r:Inference;
    r:gives {
        (:stop (1) 1 (0 0 0 0 "#") (1) 1 (0 0 0 0 "#")) :move true.
    };
    r:evidence (
        [ a r:Fact; r:gives true]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo (0 0 0 0 "#")];
    r:rule skolem:lemma44.

skolem:lemma132 a r:Inference;
    r:gives {
        (:halt (1) 1 (0 0 0 0 "#")) :continue (1 1 0 0 0 0 "#").
    };
    r:evidence (
        skolem:lemma124
        [ a r:Fact; r:gives {(1 0 0 0 0 "#") list:firstRest (1 (0 0 0 0 "#"))}]
        [ a r:Fact; r:gives {((1) (1 0 0 0 0 "#")) list:append (1 1 0 0 0 0 "#")}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo (1 0 0 0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo (0 0 0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1 1 0 0 0 0 "#")];
    r:rule skolem:lemma46.

skolem:lemma133 a r:Inference;
    r:gives {
        (:left (1) 0 (0 0 0 0 "#") () 1 (0 0 0 0 0 "#")) :move true.
    };
    r:evidence (
        [ a r:Fact; r:gives {(1) list:firstRest (1 ())}]
        [ a r:Fact; r:gives {(0 0 0 0 0 "#") list:firstRest (0 (0 0 0 0 "#"))}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo ()];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo (0 0 0 0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (0 0 0 0 "#")];
    r:rule skolem:lemma91.

skolem:lemma134 a r:Inference;
    r:gives {
        (1 () 1 (0 0 0 0 0 "#")) :continue (1 0 0 0 0 0 0 "#").
    };
    r:evidence (
        skolem:lemma135
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo (1 0 0 0 0 0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo ()];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo (0 0 0 0 0 "#")];
    r:rule skolem:lemma26.

skolem:lemma135 a r:Inference;
    r:gives {
        (1 () 1 (0 0 0 0 0 "#")) :find (1 0 0 0 0 0 0 "#").
    };
    r:evidence (
        skolem:lemma95
        skolem:lemma136
        skolem:lemma137
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo [ n3:uri "http://example.org/ns#left"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo ()];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo (0 0 0 0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo ()];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo "#"];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_9"]; r:boundTo (0 0 0 0 0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_10"]; r:boundTo (1 0 0 0 0 0 0 "#")];
    r:rule skolem:lemma16.

skolem:lemma136 a r:Inference;
    r:gives {
        (:left () 0 (0 0 0 0 0 "#") () "#" (0 0 0 0 0 0 "#")) :move true.
    };
    r:evidence (
        [ a r:Fact; r:gives {(0 0 0 0 0 0 "#") list:firstRest (0 (0 0 0 0 0 "#"))}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (0 0 0 0 0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo (0 0 0 0 0 "#")];
    r:rule skolem:lemma29.

skolem:lemma137 a r:Inference;
    r:gives {
        (1 () "#" (0 0 0 0 0 0 "#")) :continue (1 0 0 0 0 0 0 "#").
    };
    r:evidence (
        skolem:lemma138
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo (1 0 0 0 0 0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo ()];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo "#"];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo (0 0 0 0 0 0 "#")];
    r:rule skolem:lemma26.

skolem:lemma138 a r:Inference;
    r:gives {
        (1 () "#" (0 0 0 0 0 0 "#")) :find (1 0 0 0 0 0 0 "#").
    };
    r:evidence (
        skolem:lemma38
        skolem:lemma139
        skolem:lemma140
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo [ n3:uri "http://example.org/ns#halt"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo "#"];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo [ n3:uri "http://example.org/ns#stop"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo ()];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo (0 0 0 0 0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo ()];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_9"]; r:boundTo (0 0 0 0 0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_10"]; r:boundTo (1 0 0 0 0 0 0 "#")];
    r:rule skolem:lemma16.

skolem:lemma139 a r:Inference;
    r:gives {
        (:stop () 1 (0 0 0 0 0 0 "#") () 1 (0 0 0 0 0 0 "#")) :move true.
    };
    r:evidence (
        [ a r:Fact; r:gives true]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo ()];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo (0 0 0 0 0 0 "#")];
    r:rule skolem:lemma44.

skolem:lemma140 a r:Inference;
    r:gives {
        (:halt () 1 (0 0 0 0 0 0 "#")) :continue (1 0 0 0 0 0 0 "#").
    };
    r:evidence (
        skolem:lemma45
        [ a r:Fact; r:gives {(1 0 0 0 0 0 0 "#") list:firstRest (1 (0 0 0 0 0 0 "#"))}]
        [ a r:Fact; r:gives {(() (1 0 0 0 0 0 0 "#")) list:append (1 0 0 0 0 0 0 "#")}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo ()];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo ()];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo (1 0 0 0 0 0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo (0 0 0 0 0 0 "#")];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1 0 0 0 0 0 0 "#")];
    r:rule skolem:lemma46.

