%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET577+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n012.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 02:54:19 EDT 2022
% Result : Theorem 0.33s 1.39s
% Output : Proof 0.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SET577+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.11 % Command : leancop_casc.sh %s %d
% 0.11/0.32 % Computer : n012.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 01:56:28 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.33/1.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.40 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.40
% 0.33/1.40 %-----------------------------------------------------
% 0.33/1.40 fof(prove_th18, conjecture, ! [_20834, _20837, _20840] : (! [_20848] : (member(_20848, _20834) <=> member(_20848, _20837) | member(_20848, _20840)) => _20834 = union(_20837, _20840)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_th18)).
% 0.33/1.40 fof(union_defn, axiom, ! [_21139, _21142, _21145] : (member(_21145, union(_21139, _21142)) <=> member(_21145, _21139) | member(_21145, _21142)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', union_defn)).
% 0.33/1.40 fof(equal_member_defn, axiom, ! [_21374, _21377] : (_21374 = _21377 <=> ! [_21391] : (member(_21391, _21374) <=> member(_21391, _21377))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', equal_member_defn)).
% 0.33/1.40
% 0.33/1.40 cnf(1, plain, [-(6 ^ [_13096]), member(_13096, 5 ^ [])], clausify(prove_th18)).
% 0.33/1.40 cnf(2, plain, [-(6 ^ [_13096]), member(_13096, 4 ^ [])], clausify(prove_th18)).
% 0.33/1.40 cnf(3, plain, [3 ^ [] = union(4 ^ [], 5 ^ [])], clausify(prove_th18)).
% 0.33/1.40 cnf(4, plain, [-(member(_13096, 3 ^ [])), 6 ^ [_13096]], clausify(prove_th18)).
% 0.33/1.40 cnf(5, plain, [member(_13096, 3 ^ []), -(member(_13096, 4 ^ [])), -(member(_13096, 5 ^ []))], clausify(prove_th18)).
% 0.33/1.40 cnf(6, plain, [-(member(_8319, union(_8202, _8261))), member(_8319, _8202)], clausify(union_defn)).
% 0.33/1.40 cnf(7, plain, [-(member(_8319, union(_8202, _8261))), member(_8319, _8261)], clausify(union_defn)).
% 0.33/1.40 cnf(8, plain, [member(_8319, union(_8202, _8261)), -(member(_8319, _8202)), -(member(_8319, _8261))], clausify(union_defn)).
% 0.33/1.40 cnf(9, plain, [-(_10046 = _10102), member(2 ^ [_10102, _10046], _10046), member(2 ^ [_10102, _10046], _10102)], clausify(equal_member_defn)).
% 0.33/1.40 cnf(10, plain, [-(_10046 = _10102), -(member(2 ^ [_10102, _10046], _10046)), -(member(2 ^ [_10102, _10046], _10102))], clausify(equal_member_defn)).
% 0.33/1.40
% 0.33/1.40 cnf('1',plain,[3 ^ [] = union(4 ^ [], 5 ^ [])],start(3)).
% 0.33/1.40 cnf('1.1',plain,[-(3 ^ [] = union(4 ^ [], 5 ^ [])), -(member(2 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], 3 ^ [])), -(member(2 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], union(4 ^ [], 5 ^ [])))],extension(10,bind([[_10046, _10102], [3 ^ [], union(4 ^ [], 5 ^ [])]]))).
% 0.33/1.40 cnf('1.1.1',plain,[member(2 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], 3 ^ []), -(member(2 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], 4 ^ [])), -(member(2 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], 5 ^ []))],extension(5,bind([[_13096], [2 ^ [union(4 ^ [], 5 ^ []), 3 ^ []]]]))).
% 0.33/1.40 cnf('1.1.1.1',plain,[member(2 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], 4 ^ []), -(member(2 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], union(4 ^ [], 5 ^ [])))],extension(6,bind([[_8319, _8202, _8261], [2 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], 4 ^ [], 5 ^ []]]))).
% 0.33/1.40 cnf('1.1.1.1.1',plain,[member(2 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], union(4 ^ [], 5 ^ [])), -(3 ^ [] = union(4 ^ [], 5 ^ [])), member(2 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], 3 ^ [])],extension(9,bind([[_10102, _10046], [union(4 ^ [], 5 ^ []), 3 ^ []]]))).
% 0.33/1.40 cnf('1.1.1.1.1.1',plain,[3 ^ [] = union(4 ^ [], 5 ^ [])],extension(3)).
% 0.33/1.40 cnf('1.1.1.1.1.2',plain,[-(member(2 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], 3 ^ []))],reduction('1.1')).
% 0.33/1.40 cnf('1.1.1.2',plain,[member(2 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], 5 ^ []), -(member(2 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], union(4 ^ [], 5 ^ [])))],extension(7,bind([[_8319, _8202, _8261], [2 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], 4 ^ [], 5 ^ []]]))).
% 0.33/1.40 cnf('1.1.1.2.1',plain,[member(2 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], union(4 ^ [], 5 ^ [])), -(3 ^ [] = union(4 ^ [], 5 ^ [])), member(2 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], 3 ^ [])],extension(9,bind([[_10102, _10046], [union(4 ^ [], 5 ^ []), 3 ^ []]]))).
% 0.33/1.40 cnf('1.1.1.2.1.1',plain,[3 ^ [] = union(4 ^ [], 5 ^ [])],extension(3)).
% 0.33/1.40 cnf('1.1.1.2.1.2',plain,[-(member(2 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], 3 ^ []))],reduction('1.1')).
% 0.33/1.40 cnf('1.1.2',plain,[member(2 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], union(4 ^ [], 5 ^ [])), -(member(2 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], 4 ^ [])), -(member(2 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], 5 ^ []))],extension(8,bind([[_8202, _8319, _8261], [4 ^ [], 2 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], 5 ^ []]]))).
% 0.33/1.40 cnf('1.1.2.1',plain,[member(2 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], 4 ^ []), -(6 ^ [2 ^ [union(4 ^ [], 5 ^ []), 3 ^ []]])],extension(2,bind([[_13096], [2 ^ [union(4 ^ [], 5 ^ []), 3 ^ []]]]))).
% 0.33/1.40 cnf('1.1.2.1.1',plain,[6 ^ [2 ^ [union(4 ^ [], 5 ^ []), 3 ^ []]], -(member(2 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], 3 ^ []))],extension(4,bind([[_13096], [2 ^ [union(4 ^ [], 5 ^ []), 3 ^ []]]]))).
% 0.33/1.40 cnf('1.1.2.1.1.1',plain,[member(2 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], 3 ^ [])],lemmata('1.1')).
% 0.33/1.40 cnf('1.1.2.2',plain,[member(2 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], 5 ^ []), -(6 ^ [2 ^ [union(4 ^ [], 5 ^ []), 3 ^ []]])],extension(1,bind([[_13096], [2 ^ [union(4 ^ [], 5 ^ []), 3 ^ []]]]))).
% 0.33/1.40 cnf('1.1.2.2.1',plain,[6 ^ [2 ^ [union(4 ^ [], 5 ^ []), 3 ^ []]], -(member(2 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], 3 ^ []))],extension(4,bind([[_13096], [2 ^ [union(4 ^ [], 5 ^ []), 3 ^ []]]]))).
% 0.33/1.40 cnf('1.1.2.2.1.1',plain,[member(2 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], 3 ^ [])],lemmata('1.1')).
% 0.33/1.40 %-----------------------------------------------------
% 0.33/1.41
% 0.33/1.41 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------