@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/#>.
@prefix n3: <http://www.w3.org/2004/06/rei#>.
@prefix var: <http://www.w3.org/2000/10/swap/var#>.

skolem:proof a r:Proof, r:Conjunction;
    r:component skolem:lemma1;
    r:component skolem:lemma2;
    r:component skolem:lemma3;
    r:component skolem:lemma4;
    r:component skolem:lemma5;
    r:component skolem:lemma6;
    r:component skolem:lemma7;
    r:component skolem:lemma8;
    r:component skolem:lemma9;
    r:component skolem:lemma10;
    r:component skolem:lemma11;
    r:component skolem:lemma12;
    r:component skolem:lemma13;
    r:component skolem:lemma14;
    r:component skolem:lemma15;
    r:component skolem:lemma16;
    r:component skolem:lemma17;
    r:component skolem:lemma18;
    r:component skolem:lemma19;
    r:component skolem:lemma20;
    r:component skolem:lemma21;
    r:component skolem:lemma22;
    r:component skolem:lemma23;
    r:component skolem:lemma24;
    r:component skolem:lemma25;
    r:component skolem:lemma26;
    r:component skolem:lemma27;
    r:component skolem:lemma28;
    r:component skolem:lemma29;
    r:component skolem:lemma30;
    r:component skolem:lemma31;
    r:component skolem:lemma32;
    r:component skolem:lemma33;
    r:component skolem:lemma34;
    r:component skolem:lemma35;
    r:component skolem:lemma36;
    r:component skolem:lemma37;
    r:component skolem:lemma38;
    r:component skolem:lemma39;
    r:component skolem:lemma40;
    r:component skolem:lemma41;
    r:component skolem:lemma42;
    r:component skolem:lemma43;
    r:component skolem:lemma44;
    r:component skolem:lemma45;
    r:component skolem:lemma46;
    r:component skolem:lemma47;
    r:component skolem:lemma48;
    r:component skolem:lemma49;
    r:component skolem:lemma50;
    r:component skolem:lemma51;
    r:component skolem:lemma52;
    r:component skolem:lemma53;
    r:component skolem:lemma54;
    r:component skolem:lemma55;
    r:component skolem:lemma56;
    r:component skolem:lemma57;
    r:component skolem:lemma58;
    r:component skolem:lemma59;
    r:component skolem:lemma60;
    r:component skolem:lemma61;
    r:component skolem:lemma62;
    r:component skolem:lemma63;
    r:component skolem:lemma64;
    r:component skolem:lemma65;
    r:component skolem:lemma66;
    r:component skolem:lemma67;
    r:component skolem:lemma68;
    r:component skolem:lemma69;
    r:component skolem:lemma70;
    r:component skolem:lemma71;
    r:component skolem:lemma72;
    r:component skolem:lemma73;
    r:component skolem:lemma74;
    r:component skolem:lemma75;
    r:component skolem:lemma76;
    r:component skolem:lemma77;
    r:component skolem:lemma78;
    r:component skolem:lemma79;
    r:component skolem:lemma80;
    r:component skolem:lemma81;
    r:component skolem:lemma82;
    r:component skolem:lemma83;
    r:component skolem:lemma84;
    r:component skolem:lemma85;
    r:component skolem:lemma86;
    r:component skolem:lemma87;
    r:component skolem:lemma88;
    r:component skolem:lemma89;
    r:component skolem:lemma90;
    r:component skolem:lemma91;
    r:component skolem:lemma92;
    r:component skolem:lemma93;
    r:component skolem:lemma94;
    r:component skolem:lemma95;
    r:component skolem:lemma96;
    r:component skolem:lemma97;
    r:component skolem:lemma98;
    r:component skolem:lemma99;
    r:component skolem:lemma100;
    r:component skolem:lemma101;
    r:component skolem:lemma102;
    r:component skolem:lemma103;
    r:component skolem:lemma104;
    r:component skolem:lemma105;
    r:component skolem:lemma106;
    r:component skolem:lemma107;
    r:component skolem:lemma108;
    r:component skolem:lemma109;
    r:component skolem:lemma110;
    r:component skolem:lemma111;
    r:component skolem:lemma112;
    r:component skolem:lemma113;
    r:component skolem:lemma114;
    r:component skolem:lemma115;
    r:component skolem:lemma116;
    r:component skolem:lemma117;
    r:component skolem:lemma118;
    r:component skolem:lemma119;
    r:component skolem:lemma120;
    r:gives {
        (1 2 3 4 5) :permutation (1 2 3 4 5).
        (1 2 3 4 5) :permutation (1 2 3 5 4).
        (1 2 3 4 5) :permutation (1 2 4 3 5).
        (1 2 3 4 5) :permutation (1 2 4 5 3).
        (1 2 3 4 5) :permutation (1 2 5 3 4).
        (1 2 3 4 5) :permutation (1 2 5 4 3).
        (1 2 3 4 5) :permutation (1 3 2 4 5).
        (1 2 3 4 5) :permutation (1 3 2 5 4).
        (1 2 3 4 5) :permutation (1 3 4 2 5).
        (1 2 3 4 5) :permutation (1 3 4 5 2).
        (1 2 3 4 5) :permutation (1 3 5 2 4).
        (1 2 3 4 5) :permutation (1 3 5 4 2).
        (1 2 3 4 5) :permutation (1 4 2 3 5).
        (1 2 3 4 5) :permutation (1 4 2 5 3).
        (1 2 3 4 5) :permutation (1 4 3 2 5).
        (1 2 3 4 5) :permutation (1 4 3 5 2).
        (1 2 3 4 5) :permutation (1 4 5 2 3).
        (1 2 3 4 5) :permutation (1 4 5 3 2).
        (1 2 3 4 5) :permutation (1 5 2 3 4).
        (1 2 3 4 5) :permutation (1 5 2 4 3).
        (1 2 3 4 5) :permutation (1 5 3 2 4).
        (1 2 3 4 5) :permutation (1 5 3 4 2).
        (1 2 3 4 5) :permutation (1 5 4 2 3).
        (1 2 3 4 5) :permutation (1 5 4 3 2).
        (1 2 3 4 5) :permutation (2 1 3 4 5).
        (1 2 3 4 5) :permutation (2 1 3 5 4).
        (1 2 3 4 5) :permutation (2 1 4 3 5).
        (1 2 3 4 5) :permutation (2 1 4 5 3).
        (1 2 3 4 5) :permutation (2 1 5 3 4).
        (1 2 3 4 5) :permutation (2 1 5 4 3).
        (1 2 3 4 5) :permutation (2 3 1 4 5).
        (1 2 3 4 5) :permutation (2 3 1 5 4).
        (1 2 3 4 5) :permutation (2 3 4 1 5).
        (1 2 3 4 5) :permutation (2 3 4 5 1).
        (1 2 3 4 5) :permutation (2 3 5 1 4).
        (1 2 3 4 5) :permutation (2 3 5 4 1).
        (1 2 3 4 5) :permutation (2 4 1 3 5).
        (1 2 3 4 5) :permutation (2 4 1 5 3).
        (1 2 3 4 5) :permutation (2 4 3 1 5).
        (1 2 3 4 5) :permutation (2 4 3 5 1).
        (1 2 3 4 5) :permutation (2 4 5 1 3).
        (1 2 3 4 5) :permutation (2 4 5 3 1).
        (1 2 3 4 5) :permutation (2 5 1 3 4).
        (1 2 3 4 5) :permutation (2 5 1 4 3).
        (1 2 3 4 5) :permutation (2 5 3 1 4).
        (1 2 3 4 5) :permutation (2 5 3 4 1).
        (1 2 3 4 5) :permutation (2 5 4 1 3).
        (1 2 3 4 5) :permutation (2 5 4 3 1).
        (1 2 3 4 5) :permutation (3 1 2 4 5).
        (1 2 3 4 5) :permutation (3 1 2 5 4).
        (1 2 3 4 5) :permutation (3 1 4 2 5).
        (1 2 3 4 5) :permutation (3 1 4 5 2).
        (1 2 3 4 5) :permutation (3 1 5 2 4).
        (1 2 3 4 5) :permutation (3 1 5 4 2).
        (1 2 3 4 5) :permutation (3 2 1 4 5).
        (1 2 3 4 5) :permutation (3 2 1 5 4).
        (1 2 3 4 5) :permutation (3 2 4 1 5).
        (1 2 3 4 5) :permutation (3 2 4 5 1).
        (1 2 3 4 5) :permutation (3 2 5 1 4).
        (1 2 3 4 5) :permutation (3 2 5 4 1).
        (1 2 3 4 5) :permutation (3 4 1 2 5).
        (1 2 3 4 5) :permutation (3 4 1 5 2).
        (1 2 3 4 5) :permutation (3 4 2 1 5).
        (1 2 3 4 5) :permutation (3 4 2 5 1).
        (1 2 3 4 5) :permutation (3 4 5 1 2).
        (1 2 3 4 5) :permutation (3 4 5 2 1).
        (1 2 3 4 5) :permutation (3 5 1 2 4).
        (1 2 3 4 5) :permutation (3 5 1 4 2).
        (1 2 3 4 5) :permutation (3 5 2 1 4).
        (1 2 3 4 5) :permutation (3 5 2 4 1).
        (1 2 3 4 5) :permutation (3 5 4 1 2).
        (1 2 3 4 5) :permutation (3 5 4 2 1).
        (1 2 3 4 5) :permutation (4 1 2 3 5).
        (1 2 3 4 5) :permutation (4 1 2 5 3).
        (1 2 3 4 5) :permutation (4 1 3 2 5).
        (1 2 3 4 5) :permutation (4 1 3 5 2).
        (1 2 3 4 5) :permutation (4 1 5 2 3).
        (1 2 3 4 5) :permutation (4 1 5 3 2).
        (1 2 3 4 5) :permutation (4 2 1 3 5).
        (1 2 3 4 5) :permutation (4 2 1 5 3).
        (1 2 3 4 5) :permutation (4 2 3 1 5).
        (1 2 3 4 5) :permutation (4 2 3 5 1).
        (1 2 3 4 5) :permutation (4 2 5 1 3).
        (1 2 3 4 5) :permutation (4 2 5 3 1).
        (1 2 3 4 5) :permutation (4 3 1 2 5).
        (1 2 3 4 5) :permutation (4 3 1 5 2).
        (1 2 3 4 5) :permutation (4 3 2 1 5).
        (1 2 3 4 5) :permutation (4 3 2 5 1).
        (1 2 3 4 5) :permutation (4 3 5 1 2).
        (1 2 3 4 5) :permutation (4 3 5 2 1).
        (1 2 3 4 5) :permutation (4 5 1 2 3).
        (1 2 3 4 5) :permutation (4 5 1 3 2).
        (1 2 3 4 5) :permutation (4 5 2 1 3).
        (1 2 3 4 5) :permutation (4 5 2 3 1).
        (1 2 3 4 5) :permutation (4 5 3 1 2).
        (1 2 3 4 5) :permutation (4 5 3 2 1).
        (1 2 3 4 5) :permutation (5 1 2 3 4).
        (1 2 3 4 5) :permutation (5 1 2 4 3).
        (1 2 3 4 5) :permutation (5 1 3 2 4).
        (1 2 3 4 5) :permutation (5 1 3 4 2).
        (1 2 3 4 5) :permutation (5 1 4 2 3).
        (1 2 3 4 5) :permutation (5 1 4 3 2).
        (1 2 3 4 5) :permutation (5 2 1 3 4).
        (1 2 3 4 5) :permutation (5 2 1 4 3).
        (1 2 3 4 5) :permutation (5 2 3 1 4).
        (1 2 3 4 5) :permutation (5 2 3 4 1).
        (1 2 3 4 5) :permutation (5 2 4 1 3).
        (1 2 3 4 5) :permutation (5 2 4 3 1).
        (1 2 3 4 5) :permutation (5 3 1 2 4).
        (1 2 3 4 5) :permutation (5 3 1 4 2).
        (1 2 3 4 5) :permutation (5 3 2 1 4).
        (1 2 3 4 5) :permutation (5 3 2 4 1).
        (1 2 3 4 5) :permutation (5 3 4 1 2).
        (1 2 3 4 5) :permutation (5 3 4 2 1).
        (1 2 3 4 5) :permutation (5 4 1 2 3).
        (1 2 3 4 5) :permutation (5 4 1 3 2).
        (1 2 3 4 5) :permutation (5 4 2 1 3).
        (1 2 3 4 5) :permutation (5 4 2 3 1).
        (1 2 3 4 5) :permutation (5 4 3 1 2).
        (1 2 3 4 5) :permutation (5 4 3 2 1).
    }.

skolem:lemma1 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (1 2 3 4 5).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (1 2 3 4 5)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1 2 3 4 5)];
    r:rule skolem:lemma121.

skolem:lemma2 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (1 2 3 5 4).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (1 2 3 5 4)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1 2 3 5 4)];
    r:rule skolem:lemma121.

skolem:lemma3 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (1 2 4 3 5).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (1 2 4 3 5)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1 2 4 3 5)];
    r:rule skolem:lemma121.

skolem:lemma4 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (1 2 4 5 3).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (1 2 4 5 3)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1 2 4 5 3)];
    r:rule skolem:lemma121.

skolem:lemma5 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (1 2 5 3 4).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (1 2 5 3 4)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1 2 5 3 4)];
    r:rule skolem:lemma121.

skolem:lemma6 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (1 2 5 4 3).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (1 2 5 4 3)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1 2 5 4 3)];
    r:rule skolem:lemma121.

skolem:lemma7 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (1 3 2 4 5).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (1 3 2 4 5)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1 3 2 4 5)];
    r:rule skolem:lemma121.

skolem:lemma8 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (1 3 2 5 4).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (1 3 2 5 4)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1 3 2 5 4)];
    r:rule skolem:lemma121.

skolem:lemma9 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (1 3 4 2 5).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (1 3 4 2 5)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1 3 4 2 5)];
    r:rule skolem:lemma121.

skolem:lemma10 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (1 3 4 5 2).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (1 3 4 5 2)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1 3 4 5 2)];
    r:rule skolem:lemma121.

skolem:lemma11 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (1 3 5 2 4).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (1 3 5 2 4)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1 3 5 2 4)];
    r:rule skolem:lemma121.

skolem:lemma12 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (1 3 5 4 2).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (1 3 5 4 2)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1 3 5 4 2)];
    r:rule skolem:lemma121.

skolem:lemma13 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (1 4 2 3 5).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (1 4 2 3 5)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1 4 2 3 5)];
    r:rule skolem:lemma121.

skolem:lemma14 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (1 4 2 5 3).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (1 4 2 5 3)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1 4 2 5 3)];
    r:rule skolem:lemma121.

skolem:lemma15 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (1 4 3 2 5).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (1 4 3 2 5)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1 4 3 2 5)];
    r:rule skolem:lemma121.

skolem:lemma16 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (1 4 3 5 2).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (1 4 3 5 2)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1 4 3 5 2)];
    r:rule skolem:lemma121.

skolem:lemma17 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (1 4 5 2 3).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (1 4 5 2 3)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1 4 5 2 3)];
    r:rule skolem:lemma121.

skolem:lemma18 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (1 4 5 3 2).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (1 4 5 3 2)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1 4 5 3 2)];
    r:rule skolem:lemma121.

skolem:lemma19 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (1 5 2 3 4).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (1 5 2 3 4)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1 5 2 3 4)];
    r:rule skolem:lemma121.

skolem:lemma20 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (1 5 2 4 3).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (1 5 2 4 3)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1 5 2 4 3)];
    r:rule skolem:lemma121.

skolem:lemma21 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (1 5 3 2 4).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (1 5 3 2 4)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1 5 3 2 4)];
    r:rule skolem:lemma121.

skolem:lemma22 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (1 5 3 4 2).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (1 5 3 4 2)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1 5 3 4 2)];
    r:rule skolem:lemma121.

skolem:lemma23 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (1 5 4 2 3).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (1 5 4 2 3)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1 5 4 2 3)];
    r:rule skolem:lemma121.

skolem:lemma24 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (1 5 4 3 2).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (1 5 4 3 2)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (1 5 4 3 2)];
    r:rule skolem:lemma121.

skolem:lemma25 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (2 1 3 4 5).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (2 1 3 4 5)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (2 1 3 4 5)];
    r:rule skolem:lemma121.

skolem:lemma26 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (2 1 3 5 4).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (2 1 3 5 4)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (2 1 3 5 4)];
    r:rule skolem:lemma121.

skolem:lemma27 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (2 1 4 3 5).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (2 1 4 3 5)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (2 1 4 3 5)];
    r:rule skolem:lemma121.

skolem:lemma28 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (2 1 4 5 3).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (2 1 4 5 3)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (2 1 4 5 3)];
    r:rule skolem:lemma121.

skolem:lemma29 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (2 1 5 3 4).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (2 1 5 3 4)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (2 1 5 3 4)];
    r:rule skolem:lemma121.

skolem:lemma30 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (2 1 5 4 3).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (2 1 5 4 3)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (2 1 5 4 3)];
    r:rule skolem:lemma121.

skolem:lemma31 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (2 3 1 4 5).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (2 3 1 4 5)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (2 3 1 4 5)];
    r:rule skolem:lemma121.

skolem:lemma32 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (2 3 1 5 4).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (2 3 1 5 4)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (2 3 1 5 4)];
    r:rule skolem:lemma121.

skolem:lemma33 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (2 3 4 1 5).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (2 3 4 1 5)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (2 3 4 1 5)];
    r:rule skolem:lemma121.

skolem:lemma34 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (2 3 4 5 1).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (2 3 4 5 1)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (2 3 4 5 1)];
    r:rule skolem:lemma121.

skolem:lemma35 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (2 3 5 1 4).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (2 3 5 1 4)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (2 3 5 1 4)];
    r:rule skolem:lemma121.

skolem:lemma36 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (2 3 5 4 1).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (2 3 5 4 1)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (2 3 5 4 1)];
    r:rule skolem:lemma121.

skolem:lemma37 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (2 4 1 3 5).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (2 4 1 3 5)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (2 4 1 3 5)];
    r:rule skolem:lemma121.

skolem:lemma38 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (2 4 1 5 3).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (2 4 1 5 3)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (2 4 1 5 3)];
    r:rule skolem:lemma121.

skolem:lemma39 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (2 4 3 1 5).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (2 4 3 1 5)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (2 4 3 1 5)];
    r:rule skolem:lemma121.

skolem:lemma40 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (2 4 3 5 1).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (2 4 3 5 1)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (2 4 3 5 1)];
    r:rule skolem:lemma121.

skolem:lemma41 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (2 4 5 1 3).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (2 4 5 1 3)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (2 4 5 1 3)];
    r:rule skolem:lemma121.

skolem:lemma42 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (2 4 5 3 1).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (2 4 5 3 1)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (2 4 5 3 1)];
    r:rule skolem:lemma121.

skolem:lemma43 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (2 5 1 3 4).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (2 5 1 3 4)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (2 5 1 3 4)];
    r:rule skolem:lemma121.

skolem:lemma44 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (2 5 1 4 3).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (2 5 1 4 3)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (2 5 1 4 3)];
    r:rule skolem:lemma121.

skolem:lemma45 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (2 5 3 1 4).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (2 5 3 1 4)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (2 5 3 1 4)];
    r:rule skolem:lemma121.

skolem:lemma46 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (2 5 3 4 1).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (2 5 3 4 1)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (2 5 3 4 1)];
    r:rule skolem:lemma121.

skolem:lemma47 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (2 5 4 1 3).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (2 5 4 1 3)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (2 5 4 1 3)];
    r:rule skolem:lemma121.

skolem:lemma48 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (2 5 4 3 1).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (2 5 4 3 1)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (2 5 4 3 1)];
    r:rule skolem:lemma121.

skolem:lemma49 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (3 1 2 4 5).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (3 1 2 4 5)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (3 1 2 4 5)];
    r:rule skolem:lemma121.

skolem:lemma50 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (3 1 2 5 4).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (3 1 2 5 4)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (3 1 2 5 4)];
    r:rule skolem:lemma121.

skolem:lemma51 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (3 1 4 2 5).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (3 1 4 2 5)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (3 1 4 2 5)];
    r:rule skolem:lemma121.

skolem:lemma52 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (3 1 4 5 2).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (3 1 4 5 2)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (3 1 4 5 2)];
    r:rule skolem:lemma121.

skolem:lemma53 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (3 1 5 2 4).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (3 1 5 2 4)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (3 1 5 2 4)];
    r:rule skolem:lemma121.

skolem:lemma54 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (3 1 5 4 2).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (3 1 5 4 2)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (3 1 5 4 2)];
    r:rule skolem:lemma121.

skolem:lemma55 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (3 2 1 4 5).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (3 2 1 4 5)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (3 2 1 4 5)];
    r:rule skolem:lemma121.

skolem:lemma56 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (3 2 1 5 4).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (3 2 1 5 4)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (3 2 1 5 4)];
    r:rule skolem:lemma121.

skolem:lemma57 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (3 2 4 1 5).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (3 2 4 1 5)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (3 2 4 1 5)];
    r:rule skolem:lemma121.

skolem:lemma58 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (3 2 4 5 1).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (3 2 4 5 1)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (3 2 4 5 1)];
    r:rule skolem:lemma121.

skolem:lemma59 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (3 2 5 1 4).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (3 2 5 1 4)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (3 2 5 1 4)];
    r:rule skolem:lemma121.

skolem:lemma60 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (3 2 5 4 1).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (3 2 5 4 1)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (3 2 5 4 1)];
    r:rule skolem:lemma121.

skolem:lemma61 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (3 4 1 2 5).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (3 4 1 2 5)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (3 4 1 2 5)];
    r:rule skolem:lemma121.

skolem:lemma62 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (3 4 1 5 2).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (3 4 1 5 2)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (3 4 1 5 2)];
    r:rule skolem:lemma121.

skolem:lemma63 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (3 4 2 1 5).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (3 4 2 1 5)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (3 4 2 1 5)];
    r:rule skolem:lemma121.

skolem:lemma64 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (3 4 2 5 1).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (3 4 2 5 1)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (3 4 2 5 1)];
    r:rule skolem:lemma121.

skolem:lemma65 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (3 4 5 1 2).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (3 4 5 1 2)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (3 4 5 1 2)];
    r:rule skolem:lemma121.

skolem:lemma66 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (3 4 5 2 1).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (3 4 5 2 1)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (3 4 5 2 1)];
    r:rule skolem:lemma121.

skolem:lemma67 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (3 5 1 2 4).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (3 5 1 2 4)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (3 5 1 2 4)];
    r:rule skolem:lemma121.

skolem:lemma68 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (3 5 1 4 2).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (3 5 1 4 2)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (3 5 1 4 2)];
    r:rule skolem:lemma121.

skolem:lemma69 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (3 5 2 1 4).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (3 5 2 1 4)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (3 5 2 1 4)];
    r:rule skolem:lemma121.

skolem:lemma70 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (3 5 2 4 1).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (3 5 2 4 1)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (3 5 2 4 1)];
    r:rule skolem:lemma121.

skolem:lemma71 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (3 5 4 1 2).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (3 5 4 1 2)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (3 5 4 1 2)];
    r:rule skolem:lemma121.

skolem:lemma72 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (3 5 4 2 1).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (3 5 4 2 1)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (3 5 4 2 1)];
    r:rule skolem:lemma121.

skolem:lemma73 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (4 1 2 3 5).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (4 1 2 3 5)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (4 1 2 3 5)];
    r:rule skolem:lemma121.

skolem:lemma74 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (4 1 2 5 3).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (4 1 2 5 3)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (4 1 2 5 3)];
    r:rule skolem:lemma121.

skolem:lemma75 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (4 1 3 2 5).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (4 1 3 2 5)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (4 1 3 2 5)];
    r:rule skolem:lemma121.

skolem:lemma76 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (4 1 3 5 2).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (4 1 3 5 2)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (4 1 3 5 2)];
    r:rule skolem:lemma121.

skolem:lemma77 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (4 1 5 2 3).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (4 1 5 2 3)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (4 1 5 2 3)];
    r:rule skolem:lemma121.

skolem:lemma78 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (4 1 5 3 2).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (4 1 5 3 2)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (4 1 5 3 2)];
    r:rule skolem:lemma121.

skolem:lemma79 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (4 2 1 3 5).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (4 2 1 3 5)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (4 2 1 3 5)];
    r:rule skolem:lemma121.

skolem:lemma80 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (4 2 1 5 3).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (4 2 1 5 3)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (4 2 1 5 3)];
    r:rule skolem:lemma121.

skolem:lemma81 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (4 2 3 1 5).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (4 2 3 1 5)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (4 2 3 1 5)];
    r:rule skolem:lemma121.

skolem:lemma82 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (4 2 3 5 1).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (4 2 3 5 1)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (4 2 3 5 1)];
    r:rule skolem:lemma121.

skolem:lemma83 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (4 2 5 1 3).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (4 2 5 1 3)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (4 2 5 1 3)];
    r:rule skolem:lemma121.

skolem:lemma84 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (4 2 5 3 1).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (4 2 5 3 1)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (4 2 5 3 1)];
    r:rule skolem:lemma121.

skolem:lemma85 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (4 3 1 2 5).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (4 3 1 2 5)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (4 3 1 2 5)];
    r:rule skolem:lemma121.

skolem:lemma86 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (4 3 1 5 2).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (4 3 1 5 2)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (4 3 1 5 2)];
    r:rule skolem:lemma121.

skolem:lemma87 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (4 3 2 1 5).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (4 3 2 1 5)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (4 3 2 1 5)];
    r:rule skolem:lemma121.

skolem:lemma88 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (4 3 2 5 1).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (4 3 2 5 1)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (4 3 2 5 1)];
    r:rule skolem:lemma121.

skolem:lemma89 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (4 3 5 1 2).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (4 3 5 1 2)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (4 3 5 1 2)];
    r:rule skolem:lemma121.

skolem:lemma90 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (4 3 5 2 1).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (4 3 5 2 1)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (4 3 5 2 1)];
    r:rule skolem:lemma121.

skolem:lemma91 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (4 5 1 2 3).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (4 5 1 2 3)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (4 5 1 2 3)];
    r:rule skolem:lemma121.

skolem:lemma92 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (4 5 1 3 2).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (4 5 1 3 2)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (4 5 1 3 2)];
    r:rule skolem:lemma121.

skolem:lemma93 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (4 5 2 1 3).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (4 5 2 1 3)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (4 5 2 1 3)];
    r:rule skolem:lemma121.

skolem:lemma94 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (4 5 2 3 1).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (4 5 2 3 1)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (4 5 2 3 1)];
    r:rule skolem:lemma121.

skolem:lemma95 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (4 5 3 1 2).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (4 5 3 1 2)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (4 5 3 1 2)];
    r:rule skolem:lemma121.

skolem:lemma96 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (4 5 3 2 1).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (4 5 3 2 1)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (4 5 3 2 1)];
    r:rule skolem:lemma121.

skolem:lemma97 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (5 1 2 3 4).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (5 1 2 3 4)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (5 1 2 3 4)];
    r:rule skolem:lemma121.

skolem:lemma98 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (5 1 2 4 3).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (5 1 2 4 3)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (5 1 2 4 3)];
    r:rule skolem:lemma121.

skolem:lemma99 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (5 1 3 2 4).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (5 1 3 2 4)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (5 1 3 2 4)];
    r:rule skolem:lemma121.

skolem:lemma100 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (5 1 3 4 2).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (5 1 3 4 2)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (5 1 3 4 2)];
    r:rule skolem:lemma121.

skolem:lemma101 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (5 1 4 2 3).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (5 1 4 2 3)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (5 1 4 2 3)];
    r:rule skolem:lemma121.

skolem:lemma102 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (5 1 4 3 2).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (5 1 4 3 2)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (5 1 4 3 2)];
    r:rule skolem:lemma121.

skolem:lemma103 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (5 2 1 3 4).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (5 2 1 3 4)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (5 2 1 3 4)];
    r:rule skolem:lemma121.

skolem:lemma104 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (5 2 1 4 3).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (5 2 1 4 3)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (5 2 1 4 3)];
    r:rule skolem:lemma121.

skolem:lemma105 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (5 2 3 1 4).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (5 2 3 1 4)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (5 2 3 1 4)];
    r:rule skolem:lemma121.

skolem:lemma106 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (5 2 3 4 1).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (5 2 3 4 1)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (5 2 3 4 1)];
    r:rule skolem:lemma121.

skolem:lemma107 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (5 2 4 1 3).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (5 2 4 1 3)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (5 2 4 1 3)];
    r:rule skolem:lemma121.

skolem:lemma108 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (5 2 4 3 1).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (5 2 4 3 1)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (5 2 4 3 1)];
    r:rule skolem:lemma121.

skolem:lemma109 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (5 3 1 2 4).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (5 3 1 2 4)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (5 3 1 2 4)];
    r:rule skolem:lemma121.

skolem:lemma110 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (5 3 1 4 2).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (5 3 1 4 2)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (5 3 1 4 2)];
    r:rule skolem:lemma121.

skolem:lemma111 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (5 3 2 1 4).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (5 3 2 1 4)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (5 3 2 1 4)];
    r:rule skolem:lemma121.

skolem:lemma112 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (5 3 2 4 1).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (5 3 2 4 1)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (5 3 2 4 1)];
    r:rule skolem:lemma121.

skolem:lemma113 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (5 3 4 1 2).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (5 3 4 1 2)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (5 3 4 1 2)];
    r:rule skolem:lemma121.

skolem:lemma114 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (5 3 4 2 1).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (5 3 4 2 1)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (5 3 4 2 1)];
    r:rule skolem:lemma121.

skolem:lemma115 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (5 4 1 2 3).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (5 4 1 2 3)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (5 4 1 2 3)];
    r:rule skolem:lemma121.

skolem:lemma116 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (5 4 1 3 2).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (5 4 1 3 2)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (5 4 1 3 2)];
    r:rule skolem:lemma121.

skolem:lemma117 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (5 4 2 1 3).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (5 4 2 1 3)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (5 4 2 1 3)];
    r:rule skolem:lemma121.

skolem:lemma118 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (5 4 2 3 1).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (5 4 2 3 1)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (5 4 2 3 1)];
    r:rule skolem:lemma121.

skolem:lemma119 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (5 4 3 1 2).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (5 4 3 1 2)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (5 4 3 1 2)];
    r:rule skolem:lemma121.

skolem:lemma120 a r:Inference;
    r:gives {
        (1 2 3 4 5) :permutation (5 4 3 2 1).
    };
    r:evidence (
        [ a r:Fact; r:gives {(1 2 3 4 5) :permutation (5 4 3 2 1)}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo (5 4 3 2 1)];
    r:rule skolem:lemma121.

skolem:lemma121 a r:Extraction;
    r:gives {
        @forAll var:x_0. {
            (1 2 3 4 5) :permutation var:x_0.
        } => {
            (1 2 3 4 5) :permutation var:x_0.
        }.
    };
    r:because [ a r:Parsing; r:source <https://eyereasoner.github.io/eye/reasoning/combinatorics/permutation-query.n3>].

