%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET201+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n004.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 02:52:19 EDT 2022
% Result : Theorem 0.38s 1.42s
% Output : Proof 0.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET201+3 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13 % Command : leancop_casc.sh %s %d
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat Jul 9 18:39:37 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.38/1.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/1.43 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/1.43
% 0.38/1.43 %-----------------------------------------------------
% 0.38/1.43 fof(prove_th41, conjecture, ! [_19183, _19186, _19189, _19192] : (subset(_19183, _19186) & subset(_19189, _19192) => subset(intersection(_19183, _19189), intersection(_19186, _19192))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_th41)).
% 0.38/1.43 fof(intersection_defn, axiom, ! [_19461, _19464, _19467] : (member(_19467, intersection(_19461, _19464)) <=> member(_19467, _19461) & member(_19467, _19464)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', intersection_defn)).
% 0.38/1.43 fof(subset_defn, axiom, ! [_19686, _19689] : (subset(_19686, _19689) <=> ! [_19707] : (member(_19707, _19686) => member(_19707, _19689))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subset_defn)).
% 0.38/1.43
% 0.38/1.43 cnf(1, plain, [-(subset(3 ^ [], 4 ^ []))], clausify(prove_th41)).
% 0.38/1.43 cnf(2, plain, [-(subset(5 ^ [], 6 ^ []))], clausify(prove_th41)).
% 0.38/1.43 cnf(3, plain, [subset(intersection(3 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ []))], clausify(prove_th41)).
% 0.38/1.43 cnf(4, plain, [-(_4984 = _4984)], theory(equality)).
% 0.38/1.43 cnf(5, plain, [-(member(_5959, _6090)), member(_5892, _6025), _5892 = _5959, _6025 = _6090], theory(equality)).
% 0.38/1.43 cnf(6, plain, [member(_7927, intersection(_7810, _7869)), -(member(_7927, _7810))], clausify(intersection_defn)).
% 0.38/1.43 cnf(7, plain, [member(_7927, intersection(_7810, _7869)), -(member(_7927, _7869))], clausify(intersection_defn)).
% 0.38/1.43 cnf(8, plain, [-(member(_7927, intersection(_7810, _7869))), member(_7927, _7810), member(_7927, _7869)], clausify(intersection_defn)).
% 0.38/1.43 cnf(9, plain, [-(subset(_8323, _8379)), -(member(1 ^ [_8379, _8323], _8323))], clausify(subset_defn)).
% 0.38/1.43 cnf(10, plain, [-(subset(_8323, _8379)), member(1 ^ [_8379, _8323], _8379)], clausify(subset_defn)).
% 0.38/1.43 cnf(11, plain, [subset(_8323, _8379), member(_8493, _8323), -(member(_8493, _8379))], clausify(subset_defn)).
% 0.38/1.43
% 0.38/1.43 cnf('1',plain,[subset(intersection(3 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ []))],start(3)).
% 0.38/1.43 cnf('1.1',plain,[-(subset(intersection(3 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ []))), -(member(1 ^ [intersection(4 ^ [], 6 ^ []), intersection(3 ^ [], 5 ^ [])], intersection(3 ^ [], 5 ^ [])))],extension(9,bind([[_8379, _8323], [intersection(4 ^ [], 6 ^ []), intersection(3 ^ [], 5 ^ [])]]))).
% 0.38/1.43 cnf('1.1.1',plain,[member(1 ^ [intersection(4 ^ [], 6 ^ []), intersection(3 ^ [], 5 ^ [])], intersection(3 ^ [], 5 ^ [])), -(member(1 ^ [intersection(4 ^ [], 6 ^ []), intersection(3 ^ [], 5 ^ [])], intersection(intersection(3 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])))), member(1 ^ [intersection(4 ^ [], 6 ^ []), intersection(3 ^ [], 5 ^ [])], intersection(4 ^ [], 6 ^ []))],extension(8,bind([[_7810, _7927, _7869], [intersection(3 ^ [], 5 ^ []), 1 ^ [intersection(4 ^ [], 6 ^ []), intersection(3 ^ [], 5 ^ [])], intersection(4 ^ [], 6 ^ [])]]))).
% 0.38/1.43 cnf('1.1.1.1',plain,[member(1 ^ [intersection(4 ^ [], 6 ^ []), intersection(3 ^ [], 5 ^ [])], intersection(intersection(3 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ []))), -(member(1 ^ [intersection(4 ^ [], 6 ^ []), intersection(3 ^ [], 5 ^ [])], intersection(4 ^ [], 6 ^ [])))],extension(7,bind([[_7810, _7927, _7869], [intersection(3 ^ [], 5 ^ []), 1 ^ [intersection(4 ^ [], 6 ^ []), intersection(3 ^ [], 5 ^ [])], intersection(4 ^ [], 6 ^ [])]]))).
% 0.38/1.43 cnf('1.1.1.1.1',plain,[member(1 ^ [intersection(4 ^ [], 6 ^ []), intersection(3 ^ [], 5 ^ [])], intersection(4 ^ [], 6 ^ [])), -(member(1 ^ [intersection(4 ^ [], 6 ^ []), intersection(3 ^ [], 5 ^ [])], intersection(4 ^ [], 6 ^ []))), 1 ^ [intersection(4 ^ [], 6 ^ []), intersection(3 ^ [], 5 ^ [])] = 1 ^ [intersection(4 ^ [], 6 ^ []), intersection(3 ^ [], 5 ^ [])], intersection(4 ^ [], 6 ^ []) = intersection(4 ^ [], 6 ^ [])],extension(5,bind([[_5892, _5959, _6025, _6090], [1 ^ [intersection(4 ^ [], 6 ^ []), intersection(3 ^ [], 5 ^ [])], 1 ^ [intersection(4 ^ [], 6 ^ []), intersection(3 ^ [], 5 ^ [])], intersection(4 ^ [], 6 ^ []), intersection(4 ^ [], 6 ^ [])]]))).
% 0.38/1.43 cnf('1.1.1.1.1.1',plain,[member(1 ^ [intersection(4 ^ [], 6 ^ []), intersection(3 ^ [], 5 ^ [])], intersection(4 ^ [], 6 ^ [])), -(subset(intersection(3 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])))],extension(10,bind([[_8323, _8379], [intersection(3 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])]]))).
% 0.38/1.43 cnf('1.1.1.1.1.1.1',plain,[subset(intersection(3 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ []))],extension(3)).
% 0.38/1.43 cnf('1.1.1.1.1.2',plain,[-(1 ^ [intersection(4 ^ [], 6 ^ []), intersection(3 ^ [], 5 ^ [])] = 1 ^ [intersection(4 ^ [], 6 ^ []), intersection(3 ^ [], 5 ^ [])])],extension(4,bind([[_4984], [1 ^ [intersection(4 ^ [], 6 ^ []), intersection(3 ^ [], 5 ^ [])]]]))).
% 0.38/1.43 cnf('1.1.1.1.1.3',plain,[-(intersection(4 ^ [], 6 ^ []) = intersection(4 ^ [], 6 ^ []))],extension(4,bind([[_4984], [intersection(4 ^ [], 6 ^ [])]]))).
% 0.38/1.43 cnf('1.1.1.2',plain,[-(member(1 ^ [intersection(4 ^ [], 6 ^ []), intersection(3 ^ [], 5 ^ [])], intersection(4 ^ [], 6 ^ []))), member(1 ^ [intersection(4 ^ [], 6 ^ []), intersection(3 ^ [], 5 ^ [])], 4 ^ []), member(1 ^ [intersection(4 ^ [], 6 ^ []), intersection(3 ^ [], 5 ^ [])], 6 ^ [])],extension(8,bind([[_7810, _7927, _7869], [4 ^ [], 1 ^ [intersection(4 ^ [], 6 ^ []), intersection(3 ^ [], 5 ^ [])], 6 ^ []]]))).
% 0.38/1.43 cnf('1.1.1.2.1',plain,[-(member(1 ^ [intersection(4 ^ [], 6 ^ []), intersection(3 ^ [], 5 ^ [])], 4 ^ [])), subset(3 ^ [], 4 ^ []), member(1 ^ [intersection(4 ^ [], 6 ^ []), intersection(3 ^ [], 5 ^ [])], 3 ^ [])],extension(11,bind([[_8379, _8493, _8323], [4 ^ [], 1 ^ [intersection(4 ^ [], 6 ^ []), intersection(3 ^ [], 5 ^ [])], 3 ^ []]]))).
% 0.38/1.43 cnf('1.1.1.2.1.1',plain,[-(subset(3 ^ [], 4 ^ []))],extension(1)).
% 0.38/1.43 cnf('1.1.1.2.1.2',plain,[-(member(1 ^ [intersection(4 ^ [], 6 ^ []), intersection(3 ^ [], 5 ^ [])], 3 ^ [])), member(1 ^ [intersection(4 ^ [], 6 ^ []), intersection(3 ^ [], 5 ^ [])], intersection(3 ^ [], 5 ^ []))],extension(6,bind([[_7927, _7810, _7869], [1 ^ [intersection(4 ^ [], 6 ^ []), intersection(3 ^ [], 5 ^ [])], 3 ^ [], 5 ^ []]]))).
% 0.38/1.43 cnf('1.1.1.2.1.2.1',plain,[-(member(1 ^ [intersection(4 ^ [], 6 ^ []), intersection(3 ^ [], 5 ^ [])], intersection(3 ^ [], 5 ^ [])))],reduction('1.1')).
% 0.38/1.43 cnf('1.1.1.2.2',plain,[-(member(1 ^ [intersection(4 ^ [], 6 ^ []), intersection(3 ^ [], 5 ^ [])], 6 ^ [])), subset(5 ^ [], 6 ^ []), member(1 ^ [intersection(4 ^ [], 6 ^ []), intersection(3 ^ [], 5 ^ [])], 5 ^ [])],extension(11,bind([[_8379, _8493, _8323], [6 ^ [], 1 ^ [intersection(4 ^ [], 6 ^ []), intersection(3 ^ [], 5 ^ [])], 5 ^ []]]))).
% 0.38/1.43 cnf('1.1.1.2.2.1',plain,[-(subset(5 ^ [], 6 ^ []))],extension(2)).
% 0.38/1.43 cnf('1.1.1.2.2.2',plain,[-(member(1 ^ [intersection(4 ^ [], 6 ^ []), intersection(3 ^ [], 5 ^ [])], 5 ^ [])), member(1 ^ [intersection(4 ^ [], 6 ^ []), intersection(3 ^ [], 5 ^ [])], intersection(3 ^ [], 5 ^ []))],extension(7,bind([[_7927, _7810, _7869], [1 ^ [intersection(4 ^ [], 6 ^ []), intersection(3 ^ [], 5 ^ [])], 3 ^ [], 5 ^ []]]))).
% 0.38/1.43 cnf('1.1.1.2.2.2.1',plain,[-(member(1 ^ [intersection(4 ^ [], 6 ^ []), intersection(3 ^ [], 5 ^ [])], intersection(3 ^ [], 5 ^ [])))],reduction('1.1')).
% 0.38/1.43 %-----------------------------------------------------
% 0.38/1.44
% 0.38/1.44 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------