TSTP Solution File: SET144+3 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET144+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n022.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 02:51:49 EDT 2022
% Result : Theorem 0.83s 1.40s
% Output : Proof 0.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET144+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n022.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 : Mon Jul 11 05:56:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.83/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.83/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.83/1.41
% 0.83/1.41 %-----------------------------------------------------
% 0.83/1.41 fof(prove_th44, conjecture, ! [_31381, _31384, _31387] : (subset(_31381, _31384) => union(_31381, intersection(_31387, _31384)) = intersection(union(_31381, _31387), _31384)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_th44)).
% 0.83/1.41 fof(union_defn, axiom, ! [_31649, _31652, _31655] : (member(_31655, union(_31649, _31652)) <=> member(_31655, _31649) | member(_31655, _31652)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', union_defn)).
% 0.83/1.41 fof(intersection_defn, axiom, ! [_31874, _31877, _31880] : (member(_31880, intersection(_31874, _31877)) <=> member(_31880, _31874) & member(_31880, _31877)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', intersection_defn)).
% 0.83/1.41 fof(subset_defn, axiom, ! [_32101, _32104] : (subset(_32101, _32104) <=> ! [_32122] : (member(_32122, _32101) => member(_32122, _32104))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subset_defn)).
% 0.83/1.41 fof(commutativity_of_union, axiom, ! [_32308, _32311] : union(_32308, _32311) = union(_32311, _32308), file('/export/starexec/sandbox/benchmark/theBenchmark.p', commutativity_of_union)).
% 0.83/1.41 fof(equal_member_defn, axiom, ! [_32458, _32461] : (_32458 = _32461 <=> ! [_32475] : (member(_32475, _32458) <=> member(_32475, _32461))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', equal_member_defn)).
% 0.83/1.41
% 0.83/1.41 cnf(1, plain, [-(subset(3 ^ [], 4 ^ []))], clausify(prove_th44)).
% 0.83/1.41 cnf(2, plain, [union(3 ^ [], intersection(5 ^ [], 4 ^ [])) = intersection(union(3 ^ [], 5 ^ []), 4 ^ [])], clausify(prove_th44)).
% 0.83/1.41 cnf(3, plain, [-(_6020 = _6020)], theory(equality)).
% 0.83/1.41 cnf(4, plain, [_6173 = _6218, -(_6218 = _6173)], theory(equality)).
% 0.83/1.41 cnf(5, plain, [-(member(_6995, _7126)), member(_6928, _7061), _6928 = _6995, _7061 = _7126], theory(equality)).
% 0.83/1.41 cnf(6, plain, [-(member(_9602, union(_9485, _9544))), member(_9602, _9485)], clausify(union_defn)).
% 0.83/1.41 cnf(7, plain, [-(member(_9602, union(_9485, _9544))), member(_9602, _9544)], clausify(union_defn)).
% 0.83/1.41 cnf(8, plain, [member(_9602, union(_9485, _9544)), -(member(_9602, _9485)), -(member(_9602, _9544))], clausify(union_defn)).
% 0.83/1.41 cnf(9, plain, [member(_10115, intersection(_9998, _10057)), -(member(_10115, _9998))], clausify(intersection_defn)).
% 0.83/1.41 cnf(10, plain, [member(_10115, intersection(_9998, _10057)), -(member(_10115, _10057))], clausify(intersection_defn)).
% 0.83/1.41 cnf(11, plain, [-(member(_10115, intersection(_9998, _10057))), member(_10115, _9998), member(_10115, _10057)], clausify(intersection_defn)).
% 0.83/1.41 cnf(12, plain, [subset(_10511, _10567), member(_10681, _10511), -(member(_10681, _10567))], clausify(subset_defn)).
% 0.83/1.41 cnf(13, plain, [-(union(_11368, _11413) = union(_11413, _11368))], clausify(commutativity_of_union)).
% 0.83/1.41 cnf(14, plain, [-(_12152 = _12208), member(2 ^ [_12208, _12152], _12152), member(2 ^ [_12208, _12152], _12208)], clausify(equal_member_defn)).
% 0.83/1.41 cnf(15, plain, [-(_12152 = _12208), -(member(2 ^ [_12208, _12152], _12152)), -(member(2 ^ [_12208, _12152], _12208))], clausify(equal_member_defn)).
% 0.83/1.41
% 0.83/1.41 cnf('1',plain,[union(3 ^ [], intersection(5 ^ [], 4 ^ [])) = intersection(union(3 ^ [], 5 ^ []), 4 ^ [])],start(2)).
% 0.83/1.41 cnf('1.1',plain,[-(union(3 ^ [], intersection(5 ^ [], 4 ^ [])) = intersection(union(3 ^ [], 5 ^ []), 4 ^ [])), member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], union(3 ^ [], intersection(5 ^ [], 4 ^ []))), member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], intersection(union(3 ^ [], 5 ^ []), 4 ^ []))],extension(14,bind([[_12152, _12208], [union(3 ^ [], intersection(5 ^ [], 4 ^ [])), intersection(union(3 ^ [], 5 ^ []), 4 ^ [])]]))).
% 0.83/1.41 cnf('1.1.1',plain,[-(member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], union(3 ^ [], intersection(5 ^ [], 4 ^ [])))), -(union(3 ^ [], intersection(5 ^ [], 4 ^ [])) = intersection(union(3 ^ [], 5 ^ []), 4 ^ [])), -(member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], intersection(union(3 ^ [], 5 ^ []), 4 ^ [])))],extension(15,bind([[_12152, _12208], [union(3 ^ [], intersection(5 ^ [], 4 ^ [])), intersection(union(3 ^ [], 5 ^ []), 4 ^ [])]]))).
% 0.83/1.41 cnf('1.1.1.1',plain,[union(3 ^ [], intersection(5 ^ [], 4 ^ [])) = intersection(union(3 ^ [], 5 ^ []), 4 ^ [])],extension(2)).
% 0.83/1.41 cnf('1.1.1.2',plain,[member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], intersection(union(3 ^ [], 5 ^ []), 4 ^ [])), -(member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], union(3 ^ [], 5 ^ [])))],extension(9,bind([[_10057, _10115, _9998], [4 ^ [], 2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], union(3 ^ [], 5 ^ [])]]))).
% 0.83/1.41 cnf('1.1.1.2.1',plain,[member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], union(3 ^ [], 5 ^ [])), -(member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], 3 ^ [])), -(member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], 5 ^ []))],extension(8,bind([[_9485, _9602, _9544], [3 ^ [], 2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], 5 ^ []]]))).
% 0.83/1.41 cnf('1.1.1.2.1.1',plain,[member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], 3 ^ []), -(member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], union(3 ^ [], intersection(5 ^ [], 4 ^ []))))],extension(6,bind([[_9602, _9485, _9544], [2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], 3 ^ [], intersection(5 ^ [], 4 ^ [])]]))).
% 0.83/1.41 cnf('1.1.1.2.1.1.1',plain,[member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], union(3 ^ [], intersection(5 ^ [], 4 ^ [])))],reduction('1.1')).
% 0.83/1.41 cnf('1.1.1.2.1.2',plain,[member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], 5 ^ []), -(member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], intersection(5 ^ [], 4 ^ []))), member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], 4 ^ [])],extension(11,bind([[_9998, _10115, _10057], [5 ^ [], 2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], 4 ^ []]]))).
% 0.83/1.41 cnf('1.1.1.2.1.2.1',plain,[member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], intersection(5 ^ [], 4 ^ [])), -(member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], union(3 ^ [], intersection(5 ^ [], 4 ^ []))))],extension(7,bind([[_9602, _9485, _9544], [2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], 3 ^ [], intersection(5 ^ [], 4 ^ [])]]))).
% 0.83/1.41 cnf('1.1.1.2.1.2.1.1',plain,[member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], union(3 ^ [], intersection(5 ^ [], 4 ^ [])))],reduction('1.1')).
% 0.83/1.41 cnf('1.1.1.2.1.2.2',plain,[-(member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], 4 ^ [])), member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], intersection(union(3 ^ [], 5 ^ []), 4 ^ []))],extension(10,bind([[_10115, _9998, _10057], [2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], union(3 ^ [], 5 ^ []), 4 ^ []]]))).
% 0.83/1.41 cnf('1.1.1.2.1.2.2.1',plain,[-(member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], intersection(union(3 ^ [], 5 ^ []), 4 ^ [])))],reduction('1.1.1')).
% 0.83/1.41 cnf('1.1.2',plain,[-(member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], intersection(union(3 ^ [], 5 ^ []), 4 ^ []))), member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], union(3 ^ [], 5 ^ [])), member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], 4 ^ [])],extension(11,bind([[_9998, _10115, _10057], [union(3 ^ [], 5 ^ []), 2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], 4 ^ []]]))).
% 0.83/1.41 cnf('1.1.2.1',plain,[-(member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], union(3 ^ [], 5 ^ []))), member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], 3 ^ [])],extension(6,bind([[_9544, _9602, _9485], [5 ^ [], 2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], 3 ^ []]]))).
% 0.83/1.41 cnf('1.1.2.1.1',plain,[-(member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], 3 ^ [])), member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], union(3 ^ [], intersection(5 ^ [], 4 ^ []))), -(member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], intersection(5 ^ [], 4 ^ [])))],extension(8,bind([[_9485, _9602, _9544], [3 ^ [], 2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], intersection(5 ^ [], 4 ^ [])]]))).
% 0.83/1.41 cnf('1.1.2.1.1.1',plain,[-(member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], union(3 ^ [], intersection(5 ^ [], 4 ^ [])))), member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], union(3 ^ [], intersection(5 ^ [], 4 ^ []))), 2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))] = 2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], union(3 ^ [], intersection(5 ^ [], 4 ^ [])) = union(3 ^ [], intersection(5 ^ [], 4 ^ []))],extension(5,bind([[_6928, _6995, _7061, _7126], [2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], 2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], union(3 ^ [], intersection(5 ^ [], 4 ^ [])), union(3 ^ [], intersection(5 ^ [], 4 ^ []))]]))).
% 0.83/1.41 cnf('1.1.2.1.1.1.1',plain,[-(member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], union(3 ^ [], intersection(5 ^ [], 4 ^ [])))), -(union(3 ^ [], intersection(5 ^ [], 4 ^ [])) = intersection(union(3 ^ [], 5 ^ []), 4 ^ [])), -(member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], intersection(union(3 ^ [], 5 ^ []), 4 ^ [])))],extension(15,bind([[_12152, _12208], [union(3 ^ [], intersection(5 ^ [], 4 ^ [])), intersection(union(3 ^ [], 5 ^ []), 4 ^ [])]]))).
% 0.83/1.41 cnf('1.1.2.1.1.1.1.1',plain,[union(3 ^ [], intersection(5 ^ [], 4 ^ [])) = intersection(union(3 ^ [], 5 ^ []), 4 ^ [])],extension(2)).
% 0.83/1.41 cnf('1.1.2.1.1.1.1.2',plain,[member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], intersection(union(3 ^ [], 5 ^ []), 4 ^ []))],reduction('1.1')).
% 0.83/1.41 cnf('1.1.2.1.1.1.2',plain,[-(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))] = 2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))])],extension(3,bind([[_6020], [2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))]]]))).
% 0.83/1.41 cnf('1.1.2.1.1.1.3',plain,[-(union(3 ^ [], intersection(5 ^ [], 4 ^ [])) = union(3 ^ [], intersection(5 ^ [], 4 ^ [])))],extension(3,bind([[_6020], [union(3 ^ [], intersection(5 ^ [], 4 ^ []))]]))).
% 0.83/1.41 cnf('1.1.2.1.1.2',plain,[member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], intersection(5 ^ [], 4 ^ [])), -(member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], 5 ^ []))],extension(9,bind([[_10057, _10115, _9998], [4 ^ [], 2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], 5 ^ []]]))).
% 0.83/1.41 cnf('1.1.2.1.1.2.1',plain,[member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], 5 ^ []), -(member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], union(3 ^ [], 5 ^ [])))],extension(7,bind([[_9602, _9485, _9544], [2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], 3 ^ [], 5 ^ []]]))).
% 0.83/1.41 cnf('1.1.2.1.1.2.1.1',plain,[member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], union(3 ^ [], 5 ^ []))],reduction('1.1.2')).
% 0.83/1.41 cnf('1.1.2.2',plain,[-(member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], 4 ^ [])), member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], union(4 ^ [], union(3 ^ [], intersection(5 ^ [], 4 ^ [])))), -(member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], union(3 ^ [], intersection(5 ^ [], 4 ^ []))))],extension(8,bind([[_9485, _9602, _9544], [4 ^ [], 2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], union(3 ^ [], intersection(5 ^ [], 4 ^ []))]]))).
% 0.83/1.41 cnf('1.1.2.2.1',plain,[-(member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], union(4 ^ [], union(3 ^ [], intersection(5 ^ [], 4 ^ []))))), member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], union(union(3 ^ [], intersection(5 ^ [], 4 ^ [])), 4 ^ [])), 2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))] = 2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], union(union(3 ^ [], intersection(5 ^ [], 4 ^ [])), 4 ^ []) = union(4 ^ [], union(3 ^ [], intersection(5 ^ [], 4 ^ [])))],extension(5,bind([[_6928, _6995, _7061, _7126], [2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], 2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], union(union(3 ^ [], intersection(5 ^ [], 4 ^ [])), 4 ^ []), union(4 ^ [], union(3 ^ [], intersection(5 ^ [], 4 ^ [])))]]))).
% 0.83/1.41 cnf('1.1.2.2.1.1',plain,[-(member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], union(union(3 ^ [], intersection(5 ^ [], 4 ^ [])), 4 ^ []))), member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], union(3 ^ [], intersection(5 ^ [], 4 ^ [])))],extension(6,bind([[_9544, _9602, _9485], [4 ^ [], 2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], union(3 ^ [], intersection(5 ^ [], 4 ^ []))]]))).
% 0.83/1.41 cnf('1.1.2.2.1.1.1',plain,[-(member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], union(3 ^ [], intersection(5 ^ [], 4 ^ [])))), -(union(3 ^ [], intersection(5 ^ [], 4 ^ [])) = intersection(union(3 ^ [], 5 ^ []), 4 ^ [])), -(member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], intersection(union(3 ^ [], 5 ^ []), 4 ^ [])))],extension(15,bind([[_12152, _12208], [union(3 ^ [], intersection(5 ^ [], 4 ^ [])), intersection(union(3 ^ [], 5 ^ []), 4 ^ [])]]))).
% 0.83/1.41 cnf('1.1.2.2.1.1.1.1',plain,[union(3 ^ [], intersection(5 ^ [], 4 ^ [])) = intersection(union(3 ^ [], 5 ^ []), 4 ^ [])],extension(2)).
% 0.83/1.41 cnf('1.1.2.2.1.1.1.2',plain,[member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], intersection(union(3 ^ [], 5 ^ []), 4 ^ []))],reduction('1.1')).
% 0.83/1.41 cnf('1.1.2.2.1.2',plain,[-(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))] = 2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))])],extension(3,bind([[_6020], [2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))]]]))).
% 0.83/1.41 cnf('1.1.2.2.1.3',plain,[-(union(union(3 ^ [], intersection(5 ^ [], 4 ^ [])), 4 ^ []) = union(4 ^ [], union(3 ^ [], intersection(5 ^ [], 4 ^ [])))), union(4 ^ [], union(3 ^ [], intersection(5 ^ [], 4 ^ []))) = union(union(3 ^ [], intersection(5 ^ [], 4 ^ [])), 4 ^ [])],extension(4,bind([[_6173, _6218], [union(4 ^ [], union(3 ^ [], intersection(5 ^ [], 4 ^ []))), union(union(3 ^ [], intersection(5 ^ [], 4 ^ [])), 4 ^ [])]]))).
% 0.83/1.41 cnf('1.1.2.2.1.3.1',plain,[-(union(4 ^ [], union(3 ^ [], intersection(5 ^ [], 4 ^ []))) = union(union(3 ^ [], intersection(5 ^ [], 4 ^ [])), 4 ^ []))],extension(13,bind([[_11413, _11368], [union(3 ^ [], intersection(5 ^ [], 4 ^ [])), 4 ^ []]]))).
% 0.83/1.41 cnf('1.1.2.2.2',plain,[member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], union(3 ^ [], intersection(5 ^ [], 4 ^ []))), -(member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], 3 ^ [])), -(member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], intersection(5 ^ [], 4 ^ [])))],extension(8,bind([[_9485, _9602, _9544], [3 ^ [], 2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], intersection(5 ^ [], 4 ^ [])]]))).
% 0.83/1.41 cnf('1.1.2.2.2.1',plain,[member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], 3 ^ []), subset(3 ^ [], 4 ^ []), -(member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], 4 ^ []))],extension(12,bind([[_10511, _10681, _10567], [3 ^ [], 2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], 4 ^ []]]))).
% 0.83/1.41 cnf('1.1.2.2.2.1.1',plain,[-(subset(3 ^ [], 4 ^ []))],extension(1)).
% 0.83/1.41 cnf('1.1.2.2.2.1.2',plain,[member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], 4 ^ [])],reduction('1.1.2')).
% 0.83/1.41 cnf('1.1.2.2.2.2',plain,[member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], intersection(5 ^ [], 4 ^ [])), -(member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], 4 ^ []))],extension(10,bind([[_9998, _10115, _10057], [5 ^ [], 2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], 4 ^ []]]))).
% 0.83/1.41 cnf('1.1.2.2.2.2.1',plain,[member(2 ^ [intersection(union(3 ^ [], 5 ^ []), 4 ^ []), union(3 ^ [], intersection(5 ^ [], 4 ^ []))], 4 ^ [])],reduction('1.1.2')).
% 0.83/1.41 %-----------------------------------------------------
% 0.83/1.42
% 0.83/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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