TSTP Solution File: SET631+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET631+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n016.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 02:54:59 EDT 2022
% Result : Theorem 0.36s 1.40s
% Output : Proof 0.36s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET631+3 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 10 00:15:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.36/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/1.41
% 0.36/1.41 %-----------------------------------------------------
% 0.36/1.41 fof(prove_th113, conjecture, ! [_9456, _9459, _9462] : (intersect(_9456, difference(_9459, _9462)) => intersect(_9456, _9459)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_th113)).
% 0.36/1.41 fof(difference_defn, axiom, ! [_9640, _9643, _9646] : (member(_9646, difference(_9640, _9643)) <=> member(_9646, _9640) & ~ member(_9646, _9643)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', difference_defn)).
% 0.36/1.41 fof(intersect_defn, axiom, ! [_9873, _9876] : (intersect(_9873, _9876) <=> ? [_9894] : (member(_9894, _9873) & member(_9894, _9876))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', intersect_defn)).
% 0.36/1.41
% 0.36/1.41 cnf(1, plain, [-(intersect(2 ^ [], difference(3 ^ [], 4 ^ [])))], clausify(prove_th113)).
% 0.36/1.41 cnf(2, plain, [intersect(2 ^ [], 3 ^ [])], clausify(prove_th113)).
% 0.36/1.41 cnf(3, plain, [member(_3630, difference(_3509, _3570)), -(member(_3630, _3509))], clausify(difference_defn)).
% 0.36/1.41 cnf(4, plain, [member(_3630, difference(_3509, _3570)), member(_3630, _3570)], clausify(difference_defn)).
% 0.36/1.41 cnf(5, plain, [-(member(_3630, difference(_3509, _3570))), member(_3630, _3509), -(member(_3630, _3570))], clausify(difference_defn)).
% 0.36/1.41 cnf(6, plain, [intersect(_4044, _4100), -(member(1 ^ [_4100, _4044], _4044))], clausify(intersect_defn)).
% 0.36/1.41 cnf(7, plain, [intersect(_4044, _4100), -(member(1 ^ [_4100, _4044], _4100))], clausify(intersect_defn)).
% 0.36/1.41 cnf(8, plain, [-(intersect(_4044, _4100)), member(_4215, _4044), member(_4215, _4100)], clausify(intersect_defn)).
% 0.36/1.41
% 0.36/1.41 cnf('1',plain,[member(1 ^ [difference(3 ^ [], 4 ^ []), 2 ^ []], difference(2 ^ [], 3 ^ [])), member(1 ^ [difference(3 ^ [], 4 ^ []), 2 ^ []], 3 ^ [])],start(4,bind([[_3509, _3630, _3570], [2 ^ [], 1 ^ [difference(3 ^ [], 4 ^ []), 2 ^ []], 3 ^ []]]))).
% 0.36/1.41 cnf('1.1',plain,[-(member(1 ^ [difference(3 ^ [], 4 ^ []), 2 ^ []], difference(2 ^ [], 3 ^ []))), member(1 ^ [difference(3 ^ [], 4 ^ []), 2 ^ []], 2 ^ []), -(member(1 ^ [difference(3 ^ [], 4 ^ []), 2 ^ []], 3 ^ []))],extension(5,bind([[_3509, _3630, _3570], [2 ^ [], 1 ^ [difference(3 ^ [], 4 ^ []), 2 ^ []], 3 ^ []]]))).
% 0.36/1.41 cnf('1.1.1',plain,[-(member(1 ^ [difference(3 ^ [], 4 ^ []), 2 ^ []], 2 ^ [])), intersect(2 ^ [], difference(3 ^ [], 4 ^ []))],extension(6,bind([[_4044, _4100], [2 ^ [], difference(3 ^ [], 4 ^ [])]]))).
% 0.36/1.41 cnf('1.1.1.1',plain,[-(intersect(2 ^ [], difference(3 ^ [], 4 ^ [])))],extension(1)).
% 0.36/1.41 cnf('1.1.2',plain,[member(1 ^ [difference(3 ^ [], 4 ^ []), 2 ^ []], 3 ^ []), -(intersect(2 ^ [], 3 ^ [])), member(1 ^ [difference(3 ^ [], 4 ^ []), 2 ^ []], 2 ^ [])],extension(8,bind([[_4100, _4215, _4044], [3 ^ [], 1 ^ [difference(3 ^ [], 4 ^ []), 2 ^ []], 2 ^ []]]))).
% 0.36/1.41 cnf('1.1.2.1',plain,[intersect(2 ^ [], 3 ^ [])],extension(2)).
% 0.36/1.41 cnf('1.1.2.2',plain,[-(member(1 ^ [difference(3 ^ [], 4 ^ []), 2 ^ []], 2 ^ []))],lemmata('1.1')).
% 0.36/1.41 cnf('1.2',plain,[-(member(1 ^ [difference(3 ^ [], 4 ^ []), 2 ^ []], 3 ^ [])), member(1 ^ [difference(3 ^ [], 4 ^ []), 2 ^ []], difference(3 ^ [], 4 ^ []))],extension(3,bind([[_3630, _3509, _3570], [1 ^ [difference(3 ^ [], 4 ^ []), 2 ^ []], 3 ^ [], 4 ^ []]]))).
% 0.36/1.41 cnf('1.2.1',plain,[-(member(1 ^ [difference(3 ^ [], 4 ^ []), 2 ^ []], difference(3 ^ [], 4 ^ []))), intersect(2 ^ [], difference(3 ^ [], 4 ^ []))],extension(7,bind([[_4044, _4100], [2 ^ [], difference(3 ^ [], 4 ^ [])]]))).
% 0.36/1.41 cnf('1.2.1.1',plain,[-(intersect(2 ^ [], difference(3 ^ [], 4 ^ [])))],extension(1)).
% 0.36/1.41 %-----------------------------------------------------
% 0.36/1.42
% 0.36/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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