%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET011+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n028.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 02:49:49 EDT 2022
% Result : Theorem 0.47s 1.40s
% Output : Proof 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET011+3 : TPTP v8.1.0. Released v2.2.0.
% 0.10/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n028.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 05:52:12 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.47/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/1.41
% 0.47/1.41 %-----------------------------------------------------
% 0.47/1.41 fof(prove_difference_difference_intersection, conjecture, ! [_24802, _24805] : difference(_24802, difference(_24802, _24805)) = intersection(_24802, _24805), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_difference_difference_intersection)).
% 0.47/1.41 fof(intersection_defn, axiom, ! [_24993, _24996, _24999] : (member(_24999, intersection(_24993, _24996)) <=> member(_24999, _24993) & member(_24999, _24996)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', intersection_defn)).
% 0.47/1.41 fof(difference_defn, axiom, ! [_25218, _25221, _25224] : (member(_25224, difference(_25218, _25221)) <=> member(_25224, _25218) & ~ member(_25224, _25221)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', difference_defn)).
% 0.47/1.41 fof(equal_member_defn, axiom, ! [_25460, _25463] : (_25460 = _25463 <=> ! [_25477] : (member(_25477, _25460) <=> member(_25477, _25463))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', equal_member_defn)).
% 0.47/1.41
% 0.47/1.41 cnf(1, plain, [difference(3 ^ [], difference(3 ^ [], 4 ^ [])) = intersection(3 ^ [], 4 ^ [])], clausify(prove_difference_difference_intersection)).
% 0.47/1.41 cnf(2, plain, [-(_5626 = _5626)], theory(equality)).
% 0.47/1.41 cnf(3, plain, [-(member(_6601, _6732)), member(_6534, _6667), _6534 = _6601, _6667 = _6732], theory(equality)).
% 0.47/1.41 cnf(4, plain, [member(_9208, intersection(_9091, _9150)), -(member(_9208, _9091))], clausify(intersection_defn)).
% 0.47/1.41 cnf(5, plain, [member(_9208, intersection(_9091, _9150)), -(member(_9208, _9150))], clausify(intersection_defn)).
% 0.47/1.41 cnf(6, plain, [-(member(_9208, intersection(_9091, _9150))), member(_9208, _9091), member(_9208, _9150)], clausify(intersection_defn)).
% 0.47/1.41 cnf(7, plain, [member(_9725, difference(_9604, _9665)), -(member(_9725, _9604))], clausify(difference_defn)).
% 0.47/1.41 cnf(8, plain, [member(_9725, difference(_9604, _9665)), member(_9725, _9665)], clausify(difference_defn)).
% 0.47/1.41 cnf(9, plain, [-(member(_9725, difference(_9604, _9665))), member(_9725, _9604), -(member(_9725, _9665))], clausify(difference_defn)).
% 0.47/1.41 cnf(10, plain, [-(_11470 = _11526), member(2 ^ [_11526, _11470], _11470), member(2 ^ [_11526, _11470], _11526)], clausify(equal_member_defn)).
% 0.47/1.41 cnf(11, plain, [-(_11470 = _11526), -(member(2 ^ [_11526, _11470], _11470)), -(member(2 ^ [_11526, _11470], _11526))], clausify(equal_member_defn)).
% 0.47/1.41
% 0.47/1.41 cnf('1',plain,[difference(3 ^ [], difference(3 ^ [], 4 ^ [])) = intersection(3 ^ [], 4 ^ [])],start(1)).
% 0.47/1.41 cnf('1.1',plain,[-(difference(3 ^ [], difference(3 ^ [], 4 ^ [])) = intersection(3 ^ [], 4 ^ [])), member(2 ^ [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], difference(3 ^ [], 4 ^ []))], difference(3 ^ [], difference(3 ^ [], 4 ^ []))), member(2 ^ [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], difference(3 ^ [], 4 ^ []))], intersection(3 ^ [], 4 ^ []))],extension(10,bind([[_11470, _11526], [difference(3 ^ [], difference(3 ^ [], 4 ^ [])), intersection(3 ^ [], 4 ^ [])]]))).
% 0.47/1.41 cnf('1.1.1',plain,[-(member(2 ^ [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], difference(3 ^ [], 4 ^ []))], difference(3 ^ [], difference(3 ^ [], 4 ^ [])))), member(2 ^ [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], difference(3 ^ [], 4 ^ []))], 3 ^ []), -(member(2 ^ [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], difference(3 ^ [], 4 ^ []))], difference(3 ^ [], 4 ^ [])))],extension(9,bind([[_9604, _9725, _9665], [3 ^ [], 2 ^ [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], difference(3 ^ [], 4 ^ []))], difference(3 ^ [], 4 ^ [])]]))).
% 0.47/1.41 cnf('1.1.1.1',plain,[-(member(2 ^ [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], difference(3 ^ [], 4 ^ []))], 3 ^ [])), member(2 ^ [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], difference(3 ^ [], 4 ^ []))], 3 ^ []), 2 ^ [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], difference(3 ^ [], 4 ^ []))] = 2 ^ [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], difference(3 ^ [], 4 ^ []))], 3 ^ [] = 3 ^ []],extension(3,bind([[_6534, _6601, _6667, _6732], [2 ^ [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], difference(3 ^ [], 4 ^ []))], 2 ^ [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], difference(3 ^ [], 4 ^ []))], 3 ^ [], 3 ^ []]]))).
% 0.47/1.41 cnf('1.1.1.1.1',plain,[-(member(2 ^ [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], difference(3 ^ [], 4 ^ []))], 3 ^ [])), member(2 ^ [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], difference(3 ^ [], 4 ^ []))], intersection(3 ^ [], 4 ^ []))],extension(4,bind([[_9208, _9091, _9150], [2 ^ [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], difference(3 ^ [], 4 ^ []))], 3 ^ [], 4 ^ []]]))).
% 0.47/1.41 cnf('1.1.1.1.1.1',plain,[-(member(2 ^ [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], difference(3 ^ [], 4 ^ []))], intersection(3 ^ [], 4 ^ []))), -(difference(3 ^ [], difference(3 ^ [], 4 ^ [])) = intersection(3 ^ [], 4 ^ [])), -(member(2 ^ [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], difference(3 ^ [], 4 ^ []))], difference(3 ^ [], difference(3 ^ [], 4 ^ []))))],extension(11,bind([[_11526, _11470], [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], difference(3 ^ [], 4 ^ []))]]))).
% 0.47/1.41 cnf('1.1.1.1.1.1.1',plain,[difference(3 ^ [], difference(3 ^ [], 4 ^ [])) = intersection(3 ^ [], 4 ^ [])],extension(1)).
% 0.47/1.41 cnf('1.1.1.1.1.1.2',plain,[member(2 ^ [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], difference(3 ^ [], 4 ^ []))], difference(3 ^ [], difference(3 ^ [], 4 ^ [])))],reduction('1.1')).
% 0.47/1.41 cnf('1.1.1.1.2',plain,[-(2 ^ [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], difference(3 ^ [], 4 ^ []))] = 2 ^ [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], difference(3 ^ [], 4 ^ []))])],extension(2,bind([[_5626], [2 ^ [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], difference(3 ^ [], 4 ^ []))]]]))).
% 0.47/1.41 cnf('1.1.1.1.3',plain,[-(3 ^ [] = 3 ^ [])],extension(2,bind([[_5626], [3 ^ []]]))).
% 0.47/1.41 cnf('1.1.1.2',plain,[member(2 ^ [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], difference(3 ^ [], 4 ^ []))], difference(3 ^ [], 4 ^ [])), member(2 ^ [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], difference(3 ^ [], 4 ^ []))], 4 ^ [])],extension(8,bind([[_9604, _9725, _9665], [3 ^ [], 2 ^ [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], difference(3 ^ [], 4 ^ []))], 4 ^ []]]))).
% 0.47/1.41 cnf('1.1.1.2.1',plain,[-(member(2 ^ [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], difference(3 ^ [], 4 ^ []))], 4 ^ [])), member(2 ^ [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], difference(3 ^ [], 4 ^ []))], intersection(3 ^ [], 4 ^ []))],extension(5,bind([[_9208, _9091, _9150], [2 ^ [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], difference(3 ^ [], 4 ^ []))], 3 ^ [], 4 ^ []]]))).
% 0.47/1.41 cnf('1.1.1.2.1.1',plain,[-(member(2 ^ [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], difference(3 ^ [], 4 ^ []))], intersection(3 ^ [], 4 ^ []))), -(difference(3 ^ [], difference(3 ^ [], 4 ^ [])) = intersection(3 ^ [], 4 ^ [])), -(member(2 ^ [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], difference(3 ^ [], 4 ^ []))], difference(3 ^ [], difference(3 ^ [], 4 ^ []))))],extension(11,bind([[_11526, _11470], [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], difference(3 ^ [], 4 ^ []))]]))).
% 0.47/1.41 cnf('1.1.1.2.1.1.1',plain,[difference(3 ^ [], difference(3 ^ [], 4 ^ [])) = intersection(3 ^ [], 4 ^ [])],extension(1)).
% 0.47/1.41 cnf('1.1.1.2.1.1.2',plain,[member(2 ^ [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], difference(3 ^ [], 4 ^ []))], difference(3 ^ [], difference(3 ^ [], 4 ^ [])))],reduction('1.1')).
% 0.47/1.41 cnf('1.1.2',plain,[-(member(2 ^ [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], difference(3 ^ [], 4 ^ []))], intersection(3 ^ [], 4 ^ []))), -(difference(3 ^ [], difference(3 ^ [], 4 ^ [])) = intersection(3 ^ [], 4 ^ [])), -(member(2 ^ [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], difference(3 ^ [], 4 ^ []))], difference(3 ^ [], difference(3 ^ [], 4 ^ []))))],extension(11,bind([[_11526, _11470], [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], difference(3 ^ [], 4 ^ []))]]))).
% 0.47/1.41 cnf('1.1.2.1',plain,[difference(3 ^ [], difference(3 ^ [], 4 ^ [])) = intersection(3 ^ [], 4 ^ [])],extension(1)).
% 0.47/1.41 cnf('1.1.2.2',plain,[member(2 ^ [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], difference(3 ^ [], 4 ^ []))], difference(3 ^ [], difference(3 ^ [], 4 ^ []))), member(2 ^ [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], difference(3 ^ [], 4 ^ []))], difference(3 ^ [], 4 ^ []))],extension(8,bind([[_9604, _9725, _9665], [3 ^ [], 2 ^ [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], difference(3 ^ [], 4 ^ []))], difference(3 ^ [], 4 ^ [])]]))).
% 0.47/1.41 cnf('1.1.2.2.1',plain,[-(member(2 ^ [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], difference(3 ^ [], 4 ^ []))], difference(3 ^ [], 4 ^ []))), member(2 ^ [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], difference(3 ^ [], 4 ^ []))], 3 ^ []), -(member(2 ^ [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], difference(3 ^ [], 4 ^ []))], 4 ^ []))],extension(9,bind([[_9604, _9725, _9665], [3 ^ [], 2 ^ [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], difference(3 ^ [], 4 ^ []))], 4 ^ []]]))).
% 0.47/1.41 cnf('1.1.2.2.1.1',plain,[-(member(2 ^ [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], difference(3 ^ [], 4 ^ []))], 3 ^ [])), member(2 ^ [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], difference(3 ^ [], 4 ^ []))], difference(3 ^ [], difference(3 ^ [], 4 ^ [])))],extension(7,bind([[_9725, _9604, _9665], [2 ^ [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], difference(3 ^ [], 4 ^ []))], 3 ^ [], difference(3 ^ [], 4 ^ [])]]))).
% 0.47/1.41 cnf('1.1.2.2.1.1.1',plain,[-(member(2 ^ [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], difference(3 ^ [], 4 ^ []))], difference(3 ^ [], difference(3 ^ [], 4 ^ []))))],lemmata('1.1')).
% 0.47/1.41 cnf('1.1.2.2.1.2',plain,[member(2 ^ [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], difference(3 ^ [], 4 ^ []))], 4 ^ []), -(member(2 ^ [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], difference(3 ^ [], 4 ^ []))], intersection(3 ^ [], 4 ^ []))), member(2 ^ [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], difference(3 ^ [], 4 ^ []))], 3 ^ [])],extension(6,bind([[_9150, _9208, _9091], [4 ^ [], 2 ^ [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], difference(3 ^ [], 4 ^ []))], 3 ^ []]]))).
% 0.47/1.41 cnf('1.1.2.2.1.2.1',plain,[member(2 ^ [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], difference(3 ^ [], 4 ^ []))], intersection(3 ^ [], 4 ^ []))],reduction('1.1')).
% 0.47/1.41 cnf('1.1.2.2.1.2.2',plain,[-(member(2 ^ [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], difference(3 ^ [], 4 ^ []))], 3 ^ []))],lemmata('1.1.2.2.1')).
% 0.47/1.41 %-----------------------------------------------------
% 0.47/1.42
% 0.47/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------