TSTP Solution File: SET614+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET614+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n010.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 02:54:46 EDT 2022
% Result : Theorem 0.88s 1.40s
% Output : Proof 0.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET614+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 09:26:00 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.88/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.88/1.40 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.88/1.41
% 0.88/1.41 %-----------------------------------------------------
% 0.88/1.41 fof(prove_difference_difference_union, conjecture, ! [_32933, _32936, _32939] : difference(difference(_32933, _32936), _32939) = difference(_32933, union(_32936, _32939)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_difference_difference_union)).
% 0.88/1.41 fof(union_defn, axiom, ! [_33162, _33165, _33168] : (member(_33168, union(_33162, _33165)) <=> member(_33168, _33162) | member(_33168, _33165)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', union_defn)).
% 0.88/1.41 fof(difference_defn, axiom, ! [_33387, _33390, _33393] : (member(_33393, difference(_33387, _33390)) <=> member(_33393, _33387) & ~ member(_33393, _33390)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', difference_defn)).
% 0.88/1.41 fof(commutativity_of_union, axiom, ! [_33622, _33625] : union(_33622, _33625) = union(_33625, _33622), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', commutativity_of_union)).
% 0.88/1.41 fof(equal_member_defn, axiom, ! [_33774, _33777] : (_33774 = _33777 <=> ! [_33791] : (member(_33791, _33774) <=> member(_33791, _33777))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', equal_member_defn)).
% 0.88/1.41
% 0.88/1.41 cnf(1, plain, [difference(difference(3 ^ [], 4 ^ []), 5 ^ []) = difference(3 ^ [], union(4 ^ [], 5 ^ []))], clausify(prove_difference_difference_union)).
% 0.88/1.41 cnf(2, plain, [-(_5722 = _5722)], theory(equality)).
% 0.88/1.41 cnf(3, plain, [_5875 = _5920, -(_5920 = _5875)], theory(equality)).
% 0.88/1.41 cnf(4, plain, [-(member(_6697, _6828)), member(_6630, _6763), _6630 = _6697, _6763 = _6828], theory(equality)).
% 0.88/1.41 cnf(5, plain, [-(member(_9304, union(_9187, _9246))), member(_9304, _9187)], clausify(union_defn)).
% 0.88/1.41 cnf(6, plain, [-(member(_9304, union(_9187, _9246))), member(_9304, _9246)], clausify(union_defn)).
% 0.88/1.41 cnf(7, plain, [member(_9304, union(_9187, _9246)), -(member(_9304, _9187)), -(member(_9304, _9246))], clausify(union_defn)).
% 0.88/1.41 cnf(8, plain, [member(_9821, difference(_9700, _9761)), -(member(_9821, _9700))], clausify(difference_defn)).
% 0.88/1.41 cnf(9, plain, [member(_9821, difference(_9700, _9761)), member(_9821, _9761)], clausify(difference_defn)).
% 0.88/1.41 cnf(10, plain, [-(member(_9821, difference(_9700, _9761))), member(_9821, _9700), -(member(_9821, _9761))], clausify(difference_defn)).
% 0.88/1.41 cnf(11, plain, [-(union(_10631, _10676) = union(_10676, _10631))], clausify(commutativity_of_union)).
% 0.88/1.41 cnf(12, plain, [-(_11566 = _11622), member(2 ^ [_11622, _11566], _11566), member(2 ^ [_11622, _11566], _11622)], clausify(equal_member_defn)).
% 0.88/1.41 cnf(13, plain, [-(_11566 = _11622), -(member(2 ^ [_11622, _11566], _11566)), -(member(2 ^ [_11622, _11566], _11622))], clausify(equal_member_defn)).
% 0.88/1.41
% 0.88/1.41 cnf('1',plain,[difference(difference(3 ^ [], 4 ^ []), 5 ^ []) = difference(3 ^ [], union(4 ^ [], 5 ^ []))],start(1)).
% 0.88/1.41 cnf('1.1',plain,[-(difference(difference(3 ^ [], 4 ^ []), 5 ^ []) = difference(3 ^ [], union(4 ^ [], 5 ^ []))), member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], difference(difference(3 ^ [], 4 ^ []), 5 ^ [])), member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], difference(3 ^ [], union(4 ^ [], 5 ^ [])))],extension(12,bind([[_11566, _11622], [difference(difference(3 ^ [], 4 ^ []), 5 ^ []), difference(3 ^ [], union(4 ^ [], 5 ^ []))]]))).
% 0.88/1.41 cnf('1.1.1',plain,[-(member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], difference(difference(3 ^ [], 4 ^ []), 5 ^ []))), member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], difference(3 ^ [], 4 ^ [])), -(member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], 5 ^ []))],extension(10,bind([[_9700, _9821, _9761], [difference(3 ^ [], 4 ^ []), 2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], 5 ^ []]]))).
% 0.88/1.41 cnf('1.1.1.1',plain,[-(member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], difference(3 ^ [], 4 ^ []))), member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], 3 ^ []), -(member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], 4 ^ []))],extension(10,bind([[_9700, _9821, _9761], [3 ^ [], 2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], 4 ^ []]]))).
% 0.88/1.41 cnf('1.1.1.1.1',plain,[-(member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], 3 ^ [])), member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], union(3 ^ [], difference(3 ^ [], union(4 ^ [], 5 ^ [])))), -(member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], difference(3 ^ [], union(4 ^ [], 5 ^ []))))],extension(7,bind([[_9187, _9304, _9246], [3 ^ [], 2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], difference(3 ^ [], union(4 ^ [], 5 ^ []))]]))).
% 0.88/1.41 cnf('1.1.1.1.1.1',plain,[-(member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], union(3 ^ [], difference(3 ^ [], union(4 ^ [], 5 ^ []))))), member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], difference(3 ^ [], union(4 ^ [], 5 ^ [])))],extension(6,bind([[_9187, _9304, _9246], [3 ^ [], 2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], difference(3 ^ [], union(4 ^ [], 5 ^ []))]]))).
% 0.88/1.41 cnf('1.1.1.1.1.1.1',plain,[-(member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], difference(3 ^ [], union(4 ^ [], 5 ^ [])))), -(difference(difference(3 ^ [], 4 ^ []), 5 ^ []) = difference(3 ^ [], union(4 ^ [], 5 ^ []))), -(member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], difference(difference(3 ^ [], 4 ^ []), 5 ^ [])))],extension(13,bind([[_11622, _11566], [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])]]))).
% 0.88/1.41 cnf('1.1.1.1.1.1.1.1',plain,[difference(difference(3 ^ [], 4 ^ []), 5 ^ []) = difference(3 ^ [], union(4 ^ [], 5 ^ []))],extension(1)).
% 0.88/1.41 cnf('1.1.1.1.1.1.1.2',plain,[member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], difference(difference(3 ^ [], 4 ^ []), 5 ^ []))],reduction('1.1')).
% 0.88/1.41 cnf('1.1.1.1.1.2',plain,[member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], difference(3 ^ [], union(4 ^ [], 5 ^ []))), -(member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], 3 ^ []))],extension(8,bind([[_9761, _9821, _9700], [union(4 ^ [], 5 ^ []), 2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], 3 ^ []]]))).
% 0.88/1.41 cnf('1.1.1.1.1.2.1',plain,[member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], 3 ^ [])],reduction('1.1.1.1')).
% 0.88/1.41 cnf('1.1.1.1.2',plain,[member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], 4 ^ []), -(member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], union(4 ^ [], 5 ^ [])))],extension(5,bind([[_9304, _9187, _9246], [2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], 4 ^ [], 5 ^ []]]))).
% 0.88/1.41 cnf('1.1.1.1.2.1',plain,[member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], union(4 ^ [], 5 ^ [])), member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], difference(3 ^ [], union(4 ^ [], 5 ^ [])))],extension(9,bind([[_9821, _9700, _9761], [2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], 3 ^ [], union(4 ^ [], 5 ^ [])]]))).
% 0.88/1.41 cnf('1.1.1.1.2.1.1',plain,[-(member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], difference(3 ^ [], union(4 ^ [], 5 ^ [])))), -(difference(difference(3 ^ [], 4 ^ []), 5 ^ []) = difference(3 ^ [], union(4 ^ [], 5 ^ []))), -(member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], difference(difference(3 ^ [], 4 ^ []), 5 ^ [])))],extension(13,bind([[_11622, _11566], [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])]]))).
% 0.88/1.41 cnf('1.1.1.1.2.1.1.1',plain,[difference(difference(3 ^ [], 4 ^ []), 5 ^ []) = difference(3 ^ [], union(4 ^ [], 5 ^ []))],extension(1)).
% 0.88/1.41 cnf('1.1.1.1.2.1.1.2',plain,[member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], difference(difference(3 ^ [], 4 ^ []), 5 ^ []))],reduction('1.1')).
% 0.88/1.41 cnf('1.1.1.2',plain,[member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], 5 ^ []), -(member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], union(4 ^ [], 5 ^ [])))],extension(6,bind([[_9304, _9187, _9246], [2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], 4 ^ [], 5 ^ []]]))).
% 0.88/1.41 cnf('1.1.1.2.1',plain,[member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], union(4 ^ [], 5 ^ [])), member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], difference(3 ^ [], union(4 ^ [], 5 ^ [])))],extension(9,bind([[_9821, _9700, _9761], [2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], 3 ^ [], union(4 ^ [], 5 ^ [])]]))).
% 0.88/1.41 cnf('1.1.1.2.1.1',plain,[-(member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], difference(3 ^ [], union(4 ^ [], 5 ^ [])))), -(difference(difference(3 ^ [], 4 ^ []), 5 ^ []) = difference(3 ^ [], union(4 ^ [], 5 ^ []))), -(member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], difference(difference(3 ^ [], 4 ^ []), 5 ^ [])))],extension(13,bind([[_11622, _11566], [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])]]))).
% 0.88/1.41 cnf('1.1.1.2.1.1.1',plain,[difference(difference(3 ^ [], 4 ^ []), 5 ^ []) = difference(3 ^ [], union(4 ^ [], 5 ^ []))],extension(1)).
% 0.88/1.41 cnf('1.1.1.2.1.1.2',plain,[member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], difference(difference(3 ^ [], 4 ^ []), 5 ^ []))],reduction('1.1')).
% 0.88/1.41 cnf('1.1.2',plain,[-(member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], difference(3 ^ [], union(4 ^ [], 5 ^ [])))), member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], 3 ^ []), -(member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], union(4 ^ [], 5 ^ [])))],extension(10,bind([[_9700, _9821, _9761], [3 ^ [], 2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], union(4 ^ [], 5 ^ [])]]))).
% 0.88/1.41 cnf('1.1.2.1',plain,[-(member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], 3 ^ [])), member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], union(3 ^ [], difference(difference(3 ^ [], 4 ^ []), 5 ^ []))), -(member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], difference(difference(3 ^ [], 4 ^ []), 5 ^ [])))],extension(7,bind([[_9187, _9304, _9246], [3 ^ [], 2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], difference(difference(3 ^ [], 4 ^ []), 5 ^ [])]]))).
% 0.88/1.41 cnf('1.1.2.1.1',plain,[-(member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], union(3 ^ [], difference(difference(3 ^ [], 4 ^ []), 5 ^ [])))), member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], union(difference(difference(3 ^ [], 4 ^ []), 5 ^ []), 3 ^ [])), 2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])] = 2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], union(difference(difference(3 ^ [], 4 ^ []), 5 ^ []), 3 ^ []) = union(3 ^ [], difference(difference(3 ^ [], 4 ^ []), 5 ^ []))],extension(4,bind([[_6630, _6697, _6763, _6828], [2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], 2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], union(difference(difference(3 ^ [], 4 ^ []), 5 ^ []), 3 ^ []), union(3 ^ [], difference(difference(3 ^ [], 4 ^ []), 5 ^ []))]]))).
% 0.88/1.41 cnf('1.1.2.1.1.1',plain,[-(member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], union(difference(difference(3 ^ [], 4 ^ []), 5 ^ []), 3 ^ []))), member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], difference(difference(3 ^ [], 4 ^ []), 5 ^ []))],extension(5,bind([[_9246, _9304, _9187], [3 ^ [], 2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], difference(difference(3 ^ [], 4 ^ []), 5 ^ [])]]))).
% 0.88/1.41 cnf('1.1.2.1.1.1.1',plain,[-(member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], difference(difference(3 ^ [], 4 ^ []), 5 ^ []))), -(difference(difference(3 ^ [], 4 ^ []), 5 ^ []) = difference(3 ^ [], union(4 ^ [], 5 ^ []))), -(member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], difference(3 ^ [], union(4 ^ [], 5 ^ []))))],extension(13,bind([[_11566, _11622], [difference(difference(3 ^ [], 4 ^ []), 5 ^ []), difference(3 ^ [], union(4 ^ [], 5 ^ []))]]))).
% 0.88/1.41 cnf('1.1.2.1.1.1.1.1',plain,[difference(difference(3 ^ [], 4 ^ []), 5 ^ []) = difference(3 ^ [], union(4 ^ [], 5 ^ []))],extension(1)).
% 0.88/1.41 cnf('1.1.2.1.1.1.1.2',plain,[member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], difference(3 ^ [], union(4 ^ [], 5 ^ [])))],reduction('1.1')).
% 0.88/1.41 cnf('1.1.2.1.1.2',plain,[-(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])] = 2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])])],extension(2,bind([[_5722], [2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])]]]))).
% 0.88/1.41 cnf('1.1.2.1.1.3',plain,[-(union(difference(difference(3 ^ [], 4 ^ []), 5 ^ []), 3 ^ []) = union(3 ^ [], difference(difference(3 ^ [], 4 ^ []), 5 ^ []))), union(3 ^ [], difference(difference(3 ^ [], 4 ^ []), 5 ^ [])) = union(difference(difference(3 ^ [], 4 ^ []), 5 ^ []), 3 ^ [])],extension(3,bind([[_5875, _5920], [union(3 ^ [], difference(difference(3 ^ [], 4 ^ []), 5 ^ [])), union(difference(difference(3 ^ [], 4 ^ []), 5 ^ []), 3 ^ [])]]))).
% 0.88/1.41 cnf('1.1.2.1.1.3.1',plain,[-(union(3 ^ [], difference(difference(3 ^ [], 4 ^ []), 5 ^ [])) = union(difference(difference(3 ^ [], 4 ^ []), 5 ^ []), 3 ^ []))],extension(11,bind([[_10676, _10631], [difference(difference(3 ^ [], 4 ^ []), 5 ^ []), 3 ^ []]]))).
% 0.88/1.41 cnf('1.1.2.1.2',plain,[member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], difference(difference(3 ^ [], 4 ^ []), 5 ^ [])), -(member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], difference(3 ^ [], 4 ^ [])))],extension(8,bind([[_9761, _9821, _9700], [5 ^ [], 2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], difference(3 ^ [], 4 ^ [])]]))).
% 0.88/1.41 cnf('1.1.2.1.2.1',plain,[member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], difference(3 ^ [], 4 ^ [])), -(member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], 3 ^ []))],extension(8,bind([[_9761, _9821, _9700], [4 ^ [], 2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], 3 ^ []]]))).
% 0.88/1.41 cnf('1.1.2.1.2.1.1',plain,[member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], 3 ^ [])],reduction('1.1.2')).
% 0.88/1.41 cnf('1.1.2.2',plain,[member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], union(4 ^ [], 5 ^ [])), -(member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], 4 ^ [])), -(member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], 5 ^ []))],extension(7,bind([[_9187, _9304, _9246], [4 ^ [], 2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], 5 ^ []]]))).
% 0.88/1.41 cnf('1.1.2.2.1',plain,[member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], 4 ^ []), member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], difference(3 ^ [], 4 ^ []))],extension(9,bind([[_9821, _9700, _9761], [2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], 3 ^ [], 4 ^ []]]))).
% 0.88/1.41 cnf('1.1.2.2.1.1',plain,[-(member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], difference(3 ^ [], 4 ^ []))), member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], difference(difference(3 ^ [], 4 ^ []), 5 ^ []))],extension(8,bind([[_9821, _9700, _9761], [2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], difference(3 ^ [], 4 ^ []), 5 ^ []]]))).
% 0.88/1.41 cnf('1.1.2.2.1.1.1',plain,[-(member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], difference(difference(3 ^ [], 4 ^ []), 5 ^ []))), -(difference(difference(3 ^ [], 4 ^ []), 5 ^ []) = difference(3 ^ [], union(4 ^ [], 5 ^ []))), -(member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], difference(3 ^ [], union(4 ^ [], 5 ^ []))))],extension(13,bind([[_11566, _11622], [difference(difference(3 ^ [], 4 ^ []), 5 ^ []), difference(3 ^ [], union(4 ^ [], 5 ^ []))]]))).
% 0.88/1.41 cnf('1.1.2.2.1.1.1.1',plain,[difference(difference(3 ^ [], 4 ^ []), 5 ^ []) = difference(3 ^ [], union(4 ^ [], 5 ^ []))],extension(1)).
% 0.88/1.41 cnf('1.1.2.2.1.1.1.2',plain,[member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], difference(3 ^ [], union(4 ^ [], 5 ^ [])))],reduction('1.1')).
% 0.88/1.41 cnf('1.1.2.2.2',plain,[member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], 5 ^ []), member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], difference(difference(3 ^ [], 4 ^ []), 5 ^ []))],extension(9,bind([[_9821, _9700, _9761], [2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], difference(3 ^ [], 4 ^ []), 5 ^ []]]))).
% 0.88/1.41 cnf('1.1.2.2.2.1',plain,[-(member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], difference(difference(3 ^ [], 4 ^ []), 5 ^ []))), -(difference(difference(3 ^ [], 4 ^ []), 5 ^ []) = difference(3 ^ [], union(4 ^ [], 5 ^ []))), -(member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], difference(3 ^ [], union(4 ^ [], 5 ^ []))))],extension(13,bind([[_11566, _11622], [difference(difference(3 ^ [], 4 ^ []), 5 ^ []), difference(3 ^ [], union(4 ^ [], 5 ^ []))]]))).
% 0.88/1.41 cnf('1.1.2.2.2.1.1',plain,[difference(difference(3 ^ [], 4 ^ []), 5 ^ []) = difference(3 ^ [], union(4 ^ [], 5 ^ []))],extension(1)).
% 0.88/1.41 cnf('1.1.2.2.2.1.2',plain,[member(2 ^ [difference(3 ^ [], union(4 ^ [], 5 ^ [])), difference(difference(3 ^ [], 4 ^ []), 5 ^ [])], difference(3 ^ [], union(4 ^ [], 5 ^ [])))],reduction('1.1')).
% 0.88/1.41 %-----------------------------------------------------
% 0.88/1.41
% 0.88/1.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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