TSTP Solution File: SET626+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET626+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n018.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 02:54:55 EDT 2022
% Result : Theorem 0.38s 1.41s
% Output : Proof 0.38s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET626+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 08:54:13 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.38/1.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/1.42
% 0.38/1.42 %-----------------------------------------------------
% 0.38/1.42 fof(prove_th102, conjecture, ! [_16337, _16340, _16343] : (intersect(_16337, intersection(_16340, _16343)) => intersect(_16337, _16340)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_th102)).
% 0.38/1.42 fof(intersection_defn, axiom, ! [_16549, _16552, _16555] : (member(_16555, intersection(_16549, _16552)) <=> member(_16555, _16549) & member(_16555, _16552)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', intersection_defn)).
% 0.38/1.42 fof(intersect_defn, axiom, ! [_16752, _16755] : (intersect(_16752, _16755) <=> ? [_16773] : (member(_16773, _16752) & member(_16773, _16755))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', intersect_defn)).
% 0.38/1.42
% 0.38/1.42 cnf(1, plain, [-(intersect(3 ^ [], intersection(4 ^ [], 5 ^ [])))], clausify(prove_th102)).
% 0.38/1.42 cnf(2, plain, [intersect(3 ^ [], 4 ^ [])], clausify(prove_th102)).
% 0.38/1.42 cnf(3, plain, [-(_4948 = _4948)], theory(equality)).
% 0.38/1.42 cnf(4, plain, [-(member(_6537, _6668)), member(_6470, _6603), _6470 = _6537, _6603 = _6668], theory(equality)).
% 0.38/1.42 cnf(5, plain, [member(_7891, intersection(_7774, _7833)), -(member(_7891, _7774))], clausify(intersection_defn)).
% 0.38/1.42 cnf(6, plain, [intersect(_8287, _8343), -(member(1 ^ [_8343, _8287], _8287))], clausify(intersect_defn)).
% 0.38/1.42 cnf(7, plain, [intersect(_8287, _8343), -(member(1 ^ [_8343, _8287], _8343))], clausify(intersect_defn)).
% 0.38/1.42 cnf(8, plain, [-(intersect(_8287, _8343)), member(_8458, _8287), member(_8458, _8343)], clausify(intersect_defn)).
% 0.38/1.42
% 0.38/1.42 cnf('1',plain,[intersect(3 ^ [], 4 ^ [])],start(2)).
% 0.38/1.42 cnf('1.1',plain,[-(intersect(3 ^ [], 4 ^ [])), member(1 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], 3 ^ []), member(1 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], 4 ^ [])],extension(8,bind([[_8287, _8458, _8343], [3 ^ [], 1 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], 4 ^ []]]))).
% 0.38/1.42 cnf('1.1.1',plain,[-(member(1 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], 3 ^ [])), member(1 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], 3 ^ []), 1 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []] = 1 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], 3 ^ [] = 3 ^ []],extension(4,bind([[_6470, _6537, _6603, _6668], [1 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], 1 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], 3 ^ [], 3 ^ []]]))).
% 0.38/1.42 cnf('1.1.1.1',plain,[-(member(1 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], 3 ^ [])), intersect(3 ^ [], intersection(4 ^ [], 5 ^ []))],extension(6,bind([[_8287, _8343], [3 ^ [], intersection(4 ^ [], 5 ^ [])]]))).
% 0.38/1.42 cnf('1.1.1.1.1',plain,[-(intersect(3 ^ [], intersection(4 ^ [], 5 ^ [])))],extension(1)).
% 0.38/1.42 cnf('1.1.1.2',plain,[-(1 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []] = 1 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []])],extension(3,bind([[_4948], [1 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []]]]))).
% 0.38/1.42 cnf('1.1.1.3',plain,[-(3 ^ [] = 3 ^ [])],extension(3,bind([[_4948], [3 ^ []]]))).
% 0.38/1.42 cnf('1.1.2',plain,[-(member(1 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], 4 ^ [])), member(1 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], intersection(4 ^ [], 5 ^ []))],extension(5,bind([[_7891, _7774, _7833], [1 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], 4 ^ [], 5 ^ []]]))).
% 0.38/1.42 cnf('1.1.2.1',plain,[-(member(1 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], intersection(4 ^ [], 5 ^ []))), intersect(3 ^ [], intersection(4 ^ [], 5 ^ []))],extension(7,bind([[_8287, _8343], [3 ^ [], intersection(4 ^ [], 5 ^ [])]]))).
% 0.38/1.42 cnf('1.1.2.1.1',plain,[-(intersect(3 ^ [], intersection(4 ^ [], 5 ^ [])))],extension(1)).
% 0.38/1.42 %-----------------------------------------------------
% 0.38/1.42
% 0.38/1.43 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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