TSTP Solution File: SET171+3 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET171+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 02:52:03 EDT 2022
% Result : Theorem 30.08s 29.37s
% Output : Proof 30.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET171+3 : TPTP v8.1.0. Released v2.2.0.
% 0.04/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 10 22:40:57 EDT 2022
% 0.12/0.34 % CPUTime :
% 30.08/29.37 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 30.08/29.38 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 30.08/29.38
% 30.08/29.38 %-----------------------------------------------------
% 30.08/29.38 fof(equal_member_defn, axiom, ! [_35101, _35104] : (_35101 = _35104 <=> ! [_35118] : (member(_35118, _35101) <=> member(_35118, _35104))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', equal_member_defn)).
% 30.08/29.38 fof(intersection_defn, axiom, ! [_35340, _35343, _35346] : (member(_35346, intersection(_35340, _35343)) <=> member(_35346, _35340) & member(_35346, _35343)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', intersection_defn)).
% 30.08/29.38 fof(union_defn, axiom, ! [_35553, _35556, _35559] : (member(_35559, union(_35553, _35556)) <=> member(_35559, _35553) | member(_35559, _35556)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', union_defn)).
% 30.08/29.38 fof(prove_union_distributes_over_intersection, conjecture, ! [_35766, _35769, _35772] : union(_35766, intersection(_35769, _35772)) = intersection(union(_35766, _35769), union(_35766, _35772)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_union_distributes_over_intersection)).
% 30.08/29.38
% 30.08/29.38 cnf(1, plain, [-(9 ^ [_12188, _12132]), member(7 ^ [_12188, _12132], _12132)], clausify(equal_member_defn)).
% 30.08/29.38 cnf(2, plain, [-(9 ^ [_12188, _12132]), -(member(7 ^ [_12188, _12132], _12188))], clausify(equal_member_defn)).
% 30.08/29.38 cnf(3, plain, [-(8 ^ [_12188, _12132]), member(7 ^ [_12188, _12132], _12188)], clausify(equal_member_defn)).
% 30.08/29.38 cnf(4, plain, [-(8 ^ [_12188, _12132]), -(member(7 ^ [_12188, _12132], _12132))], clausify(equal_member_defn)).
% 30.08/29.38 cnf(5, plain, [-(2 ^ [_10095, _10037, _9978]), -(member(_10095, _10037))], clausify(intersection_defn)).
% 30.08/29.38 cnf(6, plain, [-(2 ^ [_10095, _10037, _9978]), -(member(_10095, _9978))], clausify(intersection_defn)).
% 30.08/29.38 cnf(7, plain, [-(1 ^ [_9582, _9524, _9465]), member(_9582, _9524)], clausify(union_defn)).
% 30.08/29.38 cnf(8, plain, [-(1 ^ [_9582, _9524, _9465]), member(_9582, _9465)], clausify(union_defn)).
% 30.08/29.38 cnf(9, plain, [union(10 ^ [], intersection(11 ^ [], 12 ^ [])) = intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ []))], clausify(prove_union_distributes_over_intersection)).
% 30.08/29.38 cnf(10, plain, [-(member(_9582, union(_9465, _9524))), 1 ^ [_9582, _9524, _9465]], clausify(union_defn)).
% 30.08/29.38 cnf(11, plain, [member(_9582, union(_9465, _9524)), -(member(_9582, _9465)), -(member(_9582, _9524))], clausify(union_defn)).
% 30.08/29.38 cnf(12, plain, [member(_10095, intersection(_9978, _10037)), 2 ^ [_10095, _10037, _9978]], clausify(intersection_defn)).
% 30.08/29.38 cnf(13, plain, [-(member(_10095, intersection(_9978, _10037))), member(_10095, _9978), member(_10095, _10037)], clausify(intersection_defn)).
% 30.08/29.38 cnf(14, plain, [-(_12132 = _12188), 8 ^ [_12188, _12132], 9 ^ [_12188, _12132]], clausify(equal_member_defn)).
% 30.08/29.38
% 30.08/29.38 cnf('1',plain,[union(10 ^ [], intersection(11 ^ [], 12 ^ [])) = intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ []))],start(9)).
% 30.08/29.38 cnf('1.1',plain,[-(union(10 ^ [], intersection(11 ^ [], 12 ^ [])) = intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ []))), 8 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], 9 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))]],extension(14,bind([[_12188, _12132], [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))]]))).
% 30.08/29.38 cnf('1.1.1',plain,[-(8 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))]), member(7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])))],extension(3,bind([[_12132, _12188], [union(10 ^ [], intersection(11 ^ [], 12 ^ [])), intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ []))]]))).
% 30.08/29.38 cnf('1.1.1.1',plain,[-(member(7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])))), member(7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], union(10 ^ [], 11 ^ [])), member(7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], union(10 ^ [], 12 ^ []))],extension(13,bind([[_9978, _10095, _10037], [union(10 ^ [], 11 ^ []), 7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], union(10 ^ [], 12 ^ [])]]))).
% 30.08/29.38 cnf('1.1.1.1.1',plain,[-(member(7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], union(10 ^ [], 11 ^ []))), 1 ^ [7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], 11 ^ [], 10 ^ []]],extension(10,bind([[_9582, _9524, _9465], [7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], 11 ^ [], 10 ^ []]]))).
% 30.08/29.38 cnf('1.1.1.1.1.1',plain,[-(1 ^ [7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], 11 ^ [], 10 ^ []]), member(7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], 11 ^ [])],extension(7,bind([[_9465, _9582, _9524], [10 ^ [], 7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], 11 ^ []]]))).
% 30.08/29.38 cnf('1.1.1.1.1.1.1',plain,[-(member(7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], 11 ^ [])), -(2 ^ [7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], 12 ^ [], 11 ^ []])],extension(6,bind([[_10095, _10037, _9978], [7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], 12 ^ [], 11 ^ []]]))).
% 30.08/29.38 cnf('1.1.1.1.1.1.1.1',plain,[2 ^ [7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], 12 ^ [], 11 ^ []], member(7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], intersection(11 ^ [], 12 ^ []))],extension(12,bind([[_10095, _9978, _10037], [7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], 11 ^ [], 12 ^ []]]))).
% 30.08/29.38 cnf('1.1.1.1.1.1.1.1.1',plain,[-(member(7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], intersection(11 ^ [], 12 ^ []))), member(7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], union(10 ^ [], intersection(11 ^ [], 12 ^ []))), -(member(7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], 10 ^ []))],extension(11,bind([[_9524, _9582, _9465], [intersection(11 ^ [], 12 ^ []), 7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], 10 ^ []]]))).
% 30.08/29.38 cnf('1.1.1.1.1.1.1.1.1.1',plain,[-(member(7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], union(10 ^ [], intersection(11 ^ [], 12 ^ [])))), -(8 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))])],extension(4,bind([[_12188, _12132], [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))]]))).
% 30.08/29.38 cnf('1.1.1.1.1.1.1.1.1.1.1',plain,[8 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))]],reduction('1.1')).
% 30.08/29.38 cnf('1.1.1.1.1.1.1.1.1.2',plain,[member(7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], 10 ^ []), -(1 ^ [7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], 11 ^ [], 10 ^ []])],extension(8,bind([[_9582, _9524, _9465], [7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], 11 ^ [], 10 ^ []]]))).
% 30.08/29.38 cnf('1.1.1.1.1.1.1.1.1.2.1',plain,[1 ^ [7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], 11 ^ [], 10 ^ []]],reduction('1.1.1.1.1')).
% 30.08/29.38 cnf('1.1.1.1.2',plain,[-(member(7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], union(10 ^ [], 12 ^ []))), 1 ^ [7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], 12 ^ [], 10 ^ []]],extension(10,bind([[_9582, _9524, _9465], [7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], 12 ^ [], 10 ^ []]]))).
% 30.08/29.38 cnf('1.1.1.1.2.1',plain,[-(1 ^ [7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], 12 ^ [], 10 ^ []]), member(7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], 12 ^ [])],extension(7,bind([[_9465, _9582, _9524], [10 ^ [], 7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], 12 ^ []]]))).
% 30.08/29.38 cnf('1.1.1.1.2.1.1',plain,[-(member(7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], 12 ^ [])), -(2 ^ [7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], 12 ^ [], 11 ^ []])],extension(5,bind([[_10095, _10037, _9978], [7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], 12 ^ [], 11 ^ []]]))).
% 30.08/29.38 cnf('1.1.1.1.2.1.1.1',plain,[2 ^ [7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], 12 ^ [], 11 ^ []], member(7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], intersection(11 ^ [], 12 ^ []))],extension(12,bind([[_10095, _9978, _10037], [7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], 11 ^ [], 12 ^ []]]))).
% 30.08/29.38 cnf('1.1.1.1.2.1.1.1.1',plain,[-(member(7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], intersection(11 ^ [], 12 ^ []))), member(7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], union(10 ^ [], intersection(11 ^ [], 12 ^ []))), -(member(7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], 10 ^ []))],extension(11,bind([[_9524, _9582, _9465], [intersection(11 ^ [], 12 ^ []), 7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], 10 ^ []]]))).
% 30.08/29.38 cnf('1.1.1.1.2.1.1.1.1.1',plain,[-(member(7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], union(10 ^ [], intersection(11 ^ [], 12 ^ [])))), -(8 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))])],extension(4,bind([[_12188, _12132], [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))]]))).
% 30.08/29.38 cnf('1.1.1.1.2.1.1.1.1.1.1',plain,[8 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))]],reduction('1.1')).
% 30.08/29.38 cnf('1.1.1.1.2.1.1.1.1.2',plain,[member(7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], 10 ^ []), -(1 ^ [7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], 12 ^ [], 10 ^ []])],extension(8,bind([[_9582, _9524, _9465], [7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], 12 ^ [], 10 ^ []]]))).
% 30.08/29.38 cnf('1.1.1.1.2.1.1.1.1.2.1',plain,[1 ^ [7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], 12 ^ [], 10 ^ []]],reduction('1.1.1.1.2')).
% 30.08/29.38 cnf('1.1.2',plain,[-(9 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))]), member(7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], union(10 ^ [], intersection(11 ^ [], 12 ^ [])))],extension(1,bind([[_12188, _12132], [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))]]))).
% 30.08/29.38 cnf('1.1.2.1',plain,[-(member(7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], union(10 ^ [], intersection(11 ^ [], 12 ^ [])))), 1 ^ [7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], intersection(11 ^ [], 12 ^ []), 10 ^ []]],extension(10,bind([[_9582, _9524, _9465], [7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], intersection(11 ^ [], 12 ^ []), 10 ^ []]]))).
% 30.08/29.38 cnf('1.1.2.1.1',plain,[-(1 ^ [7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], intersection(11 ^ [], 12 ^ []), 10 ^ []]), member(7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], intersection(11 ^ [], 12 ^ []))],extension(7,bind([[_9465, _9582, _9524], [10 ^ [], 7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], intersection(11 ^ [], 12 ^ [])]]))).
% 30.08/29.38 cnf('1.1.2.1.1.1',plain,[-(member(7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], intersection(11 ^ [], 12 ^ []))), member(7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], 11 ^ []), member(7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], 12 ^ [])],extension(13,bind([[_9978, _10095, _10037], [11 ^ [], 7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], 12 ^ []]]))).
% 30.08/29.38 cnf('1.1.2.1.1.1.1',plain,[-(member(7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], 11 ^ [])), member(7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], union(10 ^ [], 11 ^ [])), -(member(7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], 10 ^ []))],extension(11,bind([[_9524, _9582, _9465], [11 ^ [], 7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], 10 ^ []]]))).
% 30.08/29.38 cnf('1.1.2.1.1.1.1.1',plain,[-(member(7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], union(10 ^ [], 11 ^ []))), -(2 ^ [7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], union(10 ^ [], 12 ^ []), union(10 ^ [], 11 ^ [])])],extension(6,bind([[_10095, _10037, _9978], [7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], union(10 ^ [], 12 ^ []), union(10 ^ [], 11 ^ [])]]))).
% 30.08/29.38 cnf('1.1.2.1.1.1.1.1.1',plain,[2 ^ [7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], union(10 ^ [], 12 ^ []), union(10 ^ [], 11 ^ [])], member(7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])))],extension(12,bind([[_10095, _9978, _10037], [7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])]]))).
% 30.08/29.38 cnf('1.1.2.1.1.1.1.1.1.1',plain,[-(member(7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])))), -(9 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))])],extension(2,bind([[_12188, _12132], [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))]]))).
% 30.08/29.38 cnf('1.1.2.1.1.1.1.1.1.1.1',plain,[9 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))]],reduction('1.1')).
% 30.08/29.38 cnf('1.1.2.1.1.1.1.2',plain,[member(7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], 10 ^ []), -(1 ^ [7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], intersection(11 ^ [], 12 ^ []), 10 ^ []])],extension(8,bind([[_9582, _9524, _9465], [7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], intersection(11 ^ [], 12 ^ []), 10 ^ []]]))).
% 30.08/29.38 cnf('1.1.2.1.1.1.1.2.1',plain,[1 ^ [7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], intersection(11 ^ [], 12 ^ []), 10 ^ []]],reduction('1.1.2.1')).
% 30.08/29.38 cnf('1.1.2.1.1.1.2',plain,[-(member(7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], 12 ^ [])), member(7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], union(10 ^ [], 12 ^ [])), -(member(7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], 10 ^ []))],extension(11,bind([[_9524, _9582, _9465], [12 ^ [], 7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], 10 ^ []]]))).
% 30.08/29.38 cnf('1.1.2.1.1.1.2.1',plain,[-(member(7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], union(10 ^ [], 12 ^ []))), -(2 ^ [7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], union(10 ^ [], 12 ^ []), union(10 ^ [], 11 ^ [])])],extension(5,bind([[_10095, _10037, _9978], [7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], union(10 ^ [], 12 ^ []), union(10 ^ [], 11 ^ [])]]))).
% 30.08/29.38 cnf('1.1.2.1.1.1.2.1.1',plain,[2 ^ [7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], union(10 ^ [], 12 ^ []), union(10 ^ [], 11 ^ [])], member(7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])))],extension(12,bind([[_10095, _9978, _10037], [7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])]]))).
% 30.08/29.38 cnf('1.1.2.1.1.1.2.1.1.1',plain,[-(member(7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])))), -(9 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))])],extension(2,bind([[_12188, _12132], [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))]]))).
% 30.08/29.38 cnf('1.1.2.1.1.1.2.1.1.1.1',plain,[9 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))]],reduction('1.1')).
% 30.08/29.38 cnf('1.1.2.1.1.1.2.2',plain,[member(7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], 10 ^ []), -(1 ^ [7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], intersection(11 ^ [], 12 ^ []), 10 ^ []])],extension(8,bind([[_9582, _9524, _9465], [7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], intersection(11 ^ [], 12 ^ []), 10 ^ []]]))).
% 30.08/29.38 cnf('1.1.2.1.1.1.2.2.1',plain,[1 ^ [7 ^ [intersection(union(10 ^ [], 11 ^ []), union(10 ^ [], 12 ^ [])), union(10 ^ [], intersection(11 ^ [], 12 ^ []))], intersection(11 ^ [], 12 ^ []), 10 ^ []]],reduction('1.1.2.1')).
% 30.08/29.38 %-----------------------------------------------------
% 30.08/29.39
% 30.08/29.39 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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