TSTP Solution File: SET624+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET624+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 02:54:54 EDT 2022
% Result : Theorem 0.36s 1.39s
% Output : Proof 0.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET624+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.11 % Command : leancop_casc.sh %s %d
% 0.11/0.32 % Computer : n021.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Sun Jul 10 21:10:52 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.36/1.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/1.40 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/1.40
% 0.36/1.40 %-----------------------------------------------------
% 0.36/1.40 fof(prove_intersect_with_union, conjecture, ! [_22321, _22324, _22327] : (intersect(_22321, union(_22324, _22327)) <=> intersect(_22321, _22324) | intersect(_22321, _22327)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_intersect_with_union)).
% 0.36/1.40 fof(union_defn, axiom, ! [_22583, _22586, _22589] : (member(_22589, union(_22583, _22586)) <=> member(_22589, _22583) | member(_22589, _22586)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', union_defn)).
% 0.36/1.40 fof(intersect_defn, axiom, ! [_22808, _22811] : (intersect(_22808, _22811) <=> ? [_22829] : (member(_22829, _22808) & member(_22829, _22811))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', intersect_defn)).
% 0.36/1.40 fof(symmetry_of_intersect, axiom, ! [_23037, _23040] : (intersect(_23037, _23040) => intersect(_23040, _23037)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', symmetry_of_intersect)).
% 0.36/1.40
% 0.36/1.40 cnf(1, plain, [-(7 ^ []), -(intersect(3 ^ [], 4 ^ [])), -(intersect(3 ^ [], 5 ^ []))], clausify(prove_intersect_with_union)).
% 0.36/1.40 cnf(2, plain, [-(7 ^ []), intersect(3 ^ [], union(4 ^ [], 5 ^ []))], clausify(prove_intersect_with_union)).
% 0.36/1.40 cnf(3, plain, [-(6 ^ []), intersect(3 ^ [], 5 ^ [])], clausify(prove_intersect_with_union)).
% 0.36/1.40 cnf(4, plain, [-(6 ^ []), intersect(3 ^ [], 4 ^ [])], clausify(prove_intersect_with_union)).
% 0.36/1.40 cnf(5, plain, [-(6 ^ []), -(intersect(3 ^ [], union(4 ^ [], 5 ^ [])))], clausify(prove_intersect_with_union)).
% 0.36/1.40 cnf(6, plain, [6 ^ [], 7 ^ []], clausify(prove_intersect_with_union)).
% 0.36/1.40 cnf(7, plain, [-(member(_7966, union(_7849, _7908))), member(_7966, _7849)], clausify(union_defn)).
% 0.36/1.40 cnf(8, plain, [-(member(_7966, union(_7849, _7908))), member(_7966, _7908)], clausify(union_defn)).
% 0.36/1.40 cnf(9, plain, [member(_7966, union(_7849, _7908)), -(member(_7966, _7849)), -(member(_7966, _7908))], clausify(union_defn)).
% 0.36/1.40 cnf(10, plain, [intersect(_8362, _8418), -(member(1 ^ [_8418, _8362], _8362))], clausify(intersect_defn)).
% 0.36/1.40 cnf(11, plain, [intersect(_8362, _8418), -(member(1 ^ [_8418, _8362], _8418))], clausify(intersect_defn)).
% 0.36/1.40 cnf(12, plain, [-(intersect(_8362, _8418)), member(_8533, _8362), member(_8533, _8418)], clausify(intersect_defn)).
% 0.36/1.40 cnf(13, plain, [intersect(_9134, _9179), -(intersect(_9179, _9134))], clausify(symmetry_of_intersect)).
% 0.36/1.40
% 0.36/1.40 cnf('1',plain,[6 ^ [], 7 ^ []],start(6)).
% 0.36/1.40 cnf('1.1',plain,[-(6 ^ []), -(intersect(3 ^ [], union(4 ^ [], 5 ^ [])))],extension(5)).
% 0.36/1.40 cnf('1.1.1',plain,[intersect(3 ^ [], union(4 ^ [], 5 ^ [])), -(member(1 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], union(4 ^ [], 5 ^ [])))],extension(11,bind([[_8362, _8418], [3 ^ [], union(4 ^ [], 5 ^ [])]]))).
% 0.36/1.40 cnf('1.1.1.1',plain,[member(1 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], union(4 ^ [], 5 ^ [])), -(member(1 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], 4 ^ [])), -(member(1 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], 5 ^ []))],extension(9,bind([[_7849, _7966, _7908], [4 ^ [], 1 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], 5 ^ []]]))).
% 0.36/1.40 cnf('1.1.1.1.1',plain,[member(1 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], 4 ^ []), -(intersect(4 ^ [], 3 ^ [])), member(1 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], 3 ^ [])],extension(12,bind([[_8362, _8533, _8418], [4 ^ [], 1 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], 3 ^ []]]))).
% 0.36/1.40 cnf('1.1.1.1.1.1',plain,[intersect(4 ^ [], 3 ^ []), -(intersect(3 ^ [], 4 ^ []))],extension(13,bind([[_9179, _9134], [3 ^ [], 4 ^ []]]))).
% 0.36/1.40 cnf('1.1.1.1.1.1.1',plain,[intersect(3 ^ [], 4 ^ []), -(6 ^ [])],extension(4)).
% 0.36/1.40 cnf('1.1.1.1.1.1.1.1',plain,[6 ^ []],reduction('1')).
% 0.36/1.40 cnf('1.1.1.1.1.2',plain,[-(member(1 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], 3 ^ [])), intersect(3 ^ [], union(4 ^ [], 5 ^ []))],extension(10,bind([[_8362, _8418], [3 ^ [], union(4 ^ [], 5 ^ [])]]))).
% 0.36/1.40 cnf('1.1.1.1.1.2.1',plain,[-(intersect(3 ^ [], union(4 ^ [], 5 ^ [])))],reduction('1.1')).
% 0.36/1.40 cnf('1.1.1.1.2',plain,[member(1 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], 5 ^ []), -(intersect(5 ^ [], 3 ^ [])), member(1 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], 3 ^ [])],extension(12,bind([[_8362, _8533, _8418], [5 ^ [], 1 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], 3 ^ []]]))).
% 0.36/1.40 cnf('1.1.1.1.2.1',plain,[intersect(5 ^ [], 3 ^ []), -(intersect(3 ^ [], 5 ^ []))],extension(13,bind([[_9179, _9134], [3 ^ [], 5 ^ []]]))).
% 0.36/1.40 cnf('1.1.1.1.2.1.1',plain,[intersect(3 ^ [], 5 ^ []), -(6 ^ [])],extension(3)).
% 0.36/1.40 cnf('1.1.1.1.2.1.1.1',plain,[6 ^ []],reduction('1')).
% 0.36/1.40 cnf('1.1.1.1.2.2',plain,[-(member(1 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], 3 ^ [])), intersect(3 ^ [], union(4 ^ [], 5 ^ []))],extension(10,bind([[_8362, _8418], [3 ^ [], union(4 ^ [], 5 ^ [])]]))).
% 0.36/1.40 cnf('1.1.1.1.2.2.1',plain,[-(intersect(3 ^ [], union(4 ^ [], 5 ^ [])))],reduction('1.1')).
% 0.36/1.40 cnf('1.2',plain,[-(7 ^ []), -(intersect(3 ^ [], 4 ^ [])), -(intersect(3 ^ [], 5 ^ []))],extension(1)).
% 0.36/1.40 cnf('1.2.1',plain,[intersect(3 ^ [], 4 ^ []), -(member(1 ^ [4 ^ [], 3 ^ []], 3 ^ []))],extension(10,bind([[_8418, _8362], [4 ^ [], 3 ^ []]]))).
% 0.36/1.40 cnf('1.2.1.1',plain,[member(1 ^ [4 ^ [], 3 ^ []], 3 ^ []), -(intersect(3 ^ [], union(4 ^ [], 5 ^ []))), member(1 ^ [4 ^ [], 3 ^ []], union(4 ^ [], 5 ^ []))],extension(12,bind([[_8362, _8533, _8418], [3 ^ [], 1 ^ [4 ^ [], 3 ^ []], union(4 ^ [], 5 ^ [])]]))).
% 0.36/1.40 cnf('1.2.1.1.1',plain,[intersect(3 ^ [], union(4 ^ [], 5 ^ [])), -(7 ^ [])],extension(2)).
% 0.36/1.40 cnf('1.2.1.1.1.1',plain,[7 ^ []],reduction('1')).
% 0.36/1.40 cnf('1.2.1.1.2',plain,[-(member(1 ^ [4 ^ [], 3 ^ []], union(4 ^ [], 5 ^ []))), member(1 ^ [4 ^ [], 3 ^ []], 4 ^ [])],extension(7,bind([[_7908, _7966, _7849], [5 ^ [], 1 ^ [4 ^ [], 3 ^ []], 4 ^ []]]))).
% 0.36/1.40 cnf('1.2.1.1.2.1',plain,[-(member(1 ^ [4 ^ [], 3 ^ []], 4 ^ [])), intersect(3 ^ [], 4 ^ [])],extension(11,bind([[_8362, _8418], [3 ^ [], 4 ^ []]]))).
% 0.36/1.40 cnf('1.2.1.1.2.1.1',plain,[-(intersect(3 ^ [], 4 ^ []))],reduction('1.2')).
% 0.36/1.40 cnf('1.2.2',plain,[intersect(3 ^ [], 5 ^ []), -(member(1 ^ [5 ^ [], 3 ^ []], 3 ^ []))],extension(10,bind([[_8418, _8362], [5 ^ [], 3 ^ []]]))).
% 0.36/1.40 cnf('1.2.2.1',plain,[member(1 ^ [5 ^ [], 3 ^ []], 3 ^ []), -(intersect(3 ^ [], union(4 ^ [], 5 ^ []))), member(1 ^ [5 ^ [], 3 ^ []], union(4 ^ [], 5 ^ []))],extension(12,bind([[_8362, _8533, _8418], [3 ^ [], 1 ^ [5 ^ [], 3 ^ []], union(4 ^ [], 5 ^ [])]]))).
% 0.36/1.40 cnf('1.2.2.1.1',plain,[intersect(3 ^ [], union(4 ^ [], 5 ^ [])), -(7 ^ [])],extension(2)).
% 0.36/1.40 cnf('1.2.2.1.1.1',plain,[7 ^ []],reduction('1')).
% 0.36/1.40 cnf('1.2.2.1.2',plain,[-(member(1 ^ [5 ^ [], 3 ^ []], union(4 ^ [], 5 ^ []))), member(1 ^ [5 ^ [], 3 ^ []], 5 ^ [])],extension(8,bind([[_7849, _7966, _7908], [4 ^ [], 1 ^ [5 ^ [], 3 ^ []], 5 ^ []]]))).
% 0.36/1.40 cnf('1.2.2.1.2.1',plain,[-(member(1 ^ [5 ^ [], 3 ^ []], 5 ^ [])), intersect(3 ^ [], 5 ^ [])],extension(11,bind([[_8362, _8418], [3 ^ [], 5 ^ []]]))).
% 0.36/1.40 cnf('1.2.2.1.2.1.1',plain,[-(intersect(3 ^ [], 5 ^ []))],reduction('1.2')).
% 0.36/1.40 %-----------------------------------------------------
% 0.36/1.41
% 0.36/1.41 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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