%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET173+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n026.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 02:52:05 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
% 0.03/0.12 % Problem : SET173+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.32 % Computer : n026.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 600
% 0.13/0.32 % DateTime : Mon Jul 11 10:02:27 EDT 2022
% 0.13/0.32 % CPUTime :
% 0.33/1.39 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.40 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.41
% 0.33/1.41 %-----------------------------------------------------
% 0.33/1.41 fof(prove_absorbtion_for_intersection, conjecture, ! [_20947, _20950] : intersection(_20947, union(_20947, _20950)) = _20947, file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_absorbtion_for_intersection)).
% 0.33/1.41 fof(union_defn, axiom, ! [_21100, _21103, _21106] : (member(_21106, union(_21100, _21103)) <=> member(_21106, _21100) | member(_21106, _21103)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', union_defn)).
% 0.33/1.41 fof(intersection_defn, axiom, ! [_21303, _21306, _21309] : (member(_21309, intersection(_21303, _21306)) <=> member(_21309, _21303) & member(_21309, _21306)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', intersection_defn)).
% 0.33/1.41 fof(equal_member_defn, axiom, ! [_21528, _21531] : (_21528 = _21531 <=> ! [_21545] : (member(_21545, _21528) <=> member(_21545, _21531))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', equal_member_defn)).
% 0.33/1.41
% 0.33/1.41 cnf(1, plain, [intersection(3 ^ [], union(3 ^ [], 4 ^ [])) = 3 ^ []], clausify(prove_absorbtion_for_intersection)).
% 0.33/1.41 cnf(2, plain, [-(member(_9408, union(_9291, _9350))), member(_9408, _9291)], clausify(union_defn)).
% 0.33/1.41 cnf(3, plain, [member(_9921, intersection(_9804, _9863)), -(member(_9921, _9804))], clausify(intersection_defn)).
% 0.33/1.41 cnf(4, plain, [-(member(_9921, intersection(_9804, _9863))), member(_9921, _9804), member(_9921, _9863)], clausify(intersection_defn)).
% 0.33/1.41 cnf(5, plain, [-(_11958 = _12014), member(2 ^ [_12014, _11958], _11958), member(2 ^ [_12014, _11958], _12014)], clausify(equal_member_defn)).
% 0.33/1.41 cnf(6, plain, [-(_11958 = _12014), -(member(2 ^ [_12014, _11958], _11958)), -(member(2 ^ [_12014, _11958], _12014))], clausify(equal_member_defn)).
% 0.33/1.41
% 0.33/1.41 cnf('1',plain,[intersection(3 ^ [], union(3 ^ [], 4 ^ [])) = 3 ^ []],start(1)).
% 0.33/1.41 cnf('1.1',plain,[-(intersection(3 ^ [], union(3 ^ [], 4 ^ [])) = 3 ^ []), member(2 ^ [3 ^ [], intersection(3 ^ [], union(3 ^ [], 4 ^ []))], intersection(3 ^ [], union(3 ^ [], 4 ^ []))), member(2 ^ [3 ^ [], intersection(3 ^ [], union(3 ^ [], 4 ^ []))], 3 ^ [])],extension(5,bind([[_11958, _12014], [intersection(3 ^ [], union(3 ^ [], 4 ^ [])), 3 ^ []]]))).
% 0.33/1.41 cnf('1.1.1',plain,[-(member(2 ^ [3 ^ [], intersection(3 ^ [], union(3 ^ [], 4 ^ []))], intersection(3 ^ [], union(3 ^ [], 4 ^ [])))), member(2 ^ [3 ^ [], intersection(3 ^ [], union(3 ^ [], 4 ^ []))], 3 ^ []), member(2 ^ [3 ^ [], intersection(3 ^ [], union(3 ^ [], 4 ^ []))], union(3 ^ [], 4 ^ []))],extension(4,bind([[_9804, _9921, _9863], [3 ^ [], 2 ^ [3 ^ [], intersection(3 ^ [], union(3 ^ [], 4 ^ []))], union(3 ^ [], 4 ^ [])]]))).
% 0.33/1.41 cnf('1.1.1.1',plain,[-(member(2 ^ [3 ^ [], intersection(3 ^ [], union(3 ^ [], 4 ^ []))], 3 ^ [])), -(intersection(3 ^ [], union(3 ^ [], 4 ^ [])) = 3 ^ []), -(member(2 ^ [3 ^ [], intersection(3 ^ [], union(3 ^ [], 4 ^ []))], intersection(3 ^ [], union(3 ^ [], 4 ^ []))))],extension(6,bind([[_12014, _11958], [3 ^ [], intersection(3 ^ [], union(3 ^ [], 4 ^ []))]]))).
% 0.33/1.41 cnf('1.1.1.1.1',plain,[intersection(3 ^ [], union(3 ^ [], 4 ^ [])) = 3 ^ []],extension(1)).
% 0.33/1.41 cnf('1.1.1.1.2',plain,[member(2 ^ [3 ^ [], intersection(3 ^ [], union(3 ^ [], 4 ^ []))], intersection(3 ^ [], union(3 ^ [], 4 ^ [])))],reduction('1.1')).
% 0.33/1.41 cnf('1.1.1.2',plain,[-(member(2 ^ [3 ^ [], intersection(3 ^ [], union(3 ^ [], 4 ^ []))], union(3 ^ [], 4 ^ []))), member(2 ^ [3 ^ [], intersection(3 ^ [], union(3 ^ [], 4 ^ []))], 3 ^ [])],extension(2,bind([[_9350, _9408, _9291], [4 ^ [], 2 ^ [3 ^ [], intersection(3 ^ [], union(3 ^ [], 4 ^ []))], 3 ^ []]]))).
% 0.33/1.41 cnf('1.1.1.2.1',plain,[-(member(2 ^ [3 ^ [], intersection(3 ^ [], union(3 ^ [], 4 ^ []))], 3 ^ []))],lemmata('1.1.1')).
% 0.33/1.41 cnf('1.1.2',plain,[-(member(2 ^ [3 ^ [], intersection(3 ^ [], union(3 ^ [], 4 ^ []))], 3 ^ [])), member(2 ^ [3 ^ [], intersection(3 ^ [], union(3 ^ [], 4 ^ []))], intersection(3 ^ [], union(3 ^ [], 4 ^ [])))],extension(3,bind([[_9921, _9804, _9863], [2 ^ [3 ^ [], intersection(3 ^ [], union(3 ^ [], 4 ^ []))], 3 ^ [], union(3 ^ [], 4 ^ [])]]))).
% 0.33/1.41 cnf('1.1.2.1',plain,[-(member(2 ^ [3 ^ [], intersection(3 ^ [], union(3 ^ [], 4 ^ []))], intersection(3 ^ [], union(3 ^ [], 4 ^ [])))), -(intersection(3 ^ [], union(3 ^ [], 4 ^ [])) = 3 ^ []), -(member(2 ^ [3 ^ [], intersection(3 ^ [], union(3 ^ [], 4 ^ []))], 3 ^ []))],extension(6,bind([[_11958, _12014], [intersection(3 ^ [], union(3 ^ [], 4 ^ [])), 3 ^ []]]))).
% 0.33/1.41 cnf('1.1.2.1.1',plain,[intersection(3 ^ [], union(3 ^ [], 4 ^ [])) = 3 ^ []],extension(1)).
% 0.33/1.41 cnf('1.1.2.1.2',plain,[member(2 ^ [3 ^ [], intersection(3 ^ [], union(3 ^ [], 4 ^ []))], 3 ^ [])],reduction('1.1')).
% 0.33/1.41 %-----------------------------------------------------
% 0.33/1.41
% 0.33/1.41 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------