TSTP Solution File: SET698+4 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET698+4 : 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 02:55:27 EDT 2022
% Result : Theorem 73.19s 70.93s
% Output : Proof 73.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET698+4 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jul 10 08:12:11 EDT 2022
% 0.13/0.35 % CPUTime :
% 73.19/70.93 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 73.19/70.94 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 73.19/70.94
% 73.19/70.94 %-----------------------------------------------------
% 73.19/70.94 fof(thI32, conjecture, ! [_44222, _44225, _44228] : (subset(_44222, _44228) & subset(_44225, _44228) => (subset(_44222, _44225) <=> equal_set(union(difference(_44228, _44222), _44225), _44228))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thI32)).
% 73.19/70.94 fof(subset, axiom, ! [_44536, _44539] : (subset(_44536, _44539) <=> ! [_44557] : (member(_44557, _44536) => member(_44557, _44539))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', subset)).
% 73.19/70.94 fof(equal_set, axiom, ! [_44765, _44768] : (equal_set(_44765, _44768) <=> subset(_44765, _44768) & subset(_44768, _44765)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', equal_set)).
% 73.19/70.94 fof(intersection, axiom, ! [_44954, _44957, _44960] : (member(_44954, intersection(_44957, _44960)) <=> member(_44954, _44957) & member(_44954, _44960)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', intersection)).
% 73.19/70.94 fof(union, axiom, ! [_45167, _45170, _45173] : (member(_45167, union(_45170, _45173)) <=> member(_45167, _45170) | member(_45167, _45173)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', union)).
% 73.19/70.94 fof(difference, axiom, ! [_45393, _45396, _45399] : (member(_45393, difference(_45399, _45396)) <=> member(_45393, _45399) & ~ member(_45393, _45396)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', difference)).
% 73.19/70.94
% 73.19/70.94 cnf(1, plain, [-(subset(4 ^ [], 6 ^ []))], clausify(thI32)).
% 73.19/70.94 cnf(2, plain, [-(subset(5 ^ [], 6 ^ []))], clausify(thI32)).
% 73.19/70.94 cnf(3, plain, [subset(4 ^ [], 5 ^ []), equal_set(union(difference(6 ^ [], 4 ^ []), 5 ^ []), 6 ^ [])], clausify(thI32)).
% 73.19/70.94 cnf(4, plain, [-(subset(4 ^ [], 5 ^ [])), -(equal_set(union(difference(6 ^ [], 4 ^ []), 5 ^ []), 6 ^ []))], clausify(thI32)).
% 73.19/70.94 cnf(5, plain, [-(_8169 = _8169)], theory(equality)).
% 73.19/70.94 cnf(6, plain, [-(member(_9768, _9899)), member(_9701, _9834), _9701 = _9768, _9834 = _9899], theory(equality)).
% 73.19/70.94 cnf(7, plain, [-(subset(_14927, _14983)), -(member(1 ^ [_14983, _14927], _14927))], clausify(subset)).
% 73.19/70.94 cnf(8, plain, [-(subset(_14927, _14983)), member(1 ^ [_14983, _14927], _14983)], clausify(subset)).
% 73.19/70.94 cnf(9, plain, [subset(_14927, _14983), member(_15097, _14927), -(member(_15097, _14983))], clausify(subset)).
% 73.19/70.94 cnf(10, plain, [equal_set(_15388, _15439), -(subset(_15439, _15388))], clausify(equal_set)).
% 73.19/70.94 cnf(11, plain, [-(equal_set(_15388, _15439)), subset(_15388, _15439), subset(_15439, _15388)], clausify(equal_set)).
% 73.19/70.94 cnf(12, plain, [member(_16114, intersection(_16173, _16231)), -(member(_16114, _16231))], clausify(intersection)).
% 73.19/70.94 cnf(13, plain, [-(member(_16114, intersection(_16173, _16231))), member(_16114, _16173), member(_16114, _16231)], clausify(intersection)).
% 73.19/70.94 cnf(14, plain, [-(member(_16627, union(_16686, _16744))), member(_16627, _16686)], clausify(union)).
% 73.19/70.94 cnf(15, plain, [-(member(_16627, union(_16686, _16744))), member(_16627, _16744)], clausify(union)).
% 73.19/70.94 cnf(16, plain, [member(_16627, union(_16686, _16744)), -(member(_16627, _16686)), -(member(_16627, _16744))], clausify(union)).
% 73.19/70.94 cnf(17, plain, [member(_17332, difference(_17453, _17393)), -(member(_17332, _17453))], clausify(difference)).
% 73.19/70.94 cnf(18, plain, [member(_17332, difference(_17453, _17393)), member(_17332, _17393)], clausify(difference)).
% 73.19/70.94 cnf(19, plain, [-(member(_17332, difference(_17453, _17393))), member(_17332, _17453), -(member(_17332, _17393))], clausify(difference)).
% 73.19/70.94
% 73.19/70.94 cnf('1',plain,[subset(4 ^ [], 5 ^ []), equal_set(union(difference(6 ^ [], 4 ^ []), 5 ^ []), 6 ^ [])],start(3)).
% 73.19/70.94 cnf('1.1',plain,[-(subset(4 ^ [], 5 ^ [])), -(equal_set(union(difference(6 ^ [], 4 ^ []), 5 ^ []), 6 ^ []))],extension(4)).
% 73.19/70.94 cnf('1.1.1',plain,[equal_set(union(difference(6 ^ [], 4 ^ []), 5 ^ []), 6 ^ []), -(subset(6 ^ [], union(difference(6 ^ [], 4 ^ []), 5 ^ [])))],extension(10,bind([[_15439, _15388], [6 ^ [], union(difference(6 ^ [], 4 ^ []), 5 ^ [])]]))).
% 73.19/70.94 cnf('1.1.1.1',plain,[subset(6 ^ [], union(difference(6 ^ [], 4 ^ []), 5 ^ [])), member(1 ^ [5 ^ [], 4 ^ []], 6 ^ []), -(member(1 ^ [5 ^ [], 4 ^ []], union(difference(6 ^ [], 4 ^ []), 5 ^ [])))],extension(9,bind([[_14927, _15097, _14983], [6 ^ [], 1 ^ [5 ^ [], 4 ^ []], union(difference(6 ^ [], 4 ^ []), 5 ^ [])]]))).
% 73.19/70.94 cnf('1.1.1.1.1',plain,[-(member(1 ^ [5 ^ [], 4 ^ []], 6 ^ [])), subset(4 ^ [], 6 ^ []), member(1 ^ [5 ^ [], 4 ^ []], 4 ^ [])],extension(9,bind([[_14983, _15097, _14927], [6 ^ [], 1 ^ [5 ^ [], 4 ^ []], 4 ^ []]]))).
% 73.19/70.94 cnf('1.1.1.1.1.1',plain,[-(subset(4 ^ [], 6 ^ []))],extension(1)).
% 73.19/70.94 cnf('1.1.1.1.1.2',plain,[-(member(1 ^ [5 ^ [], 4 ^ []], 4 ^ [])), member(1 ^ [5 ^ [], 4 ^ []], 4 ^ []), 1 ^ [5 ^ [], 4 ^ []] = 1 ^ [5 ^ [], 4 ^ []], 4 ^ [] = 4 ^ []],extension(6,bind([[_9701, _9768, _9834, _9899], [1 ^ [5 ^ [], 4 ^ []], 1 ^ [5 ^ [], 4 ^ []], 4 ^ [], 4 ^ []]]))).
% 73.19/70.94 cnf('1.1.1.1.1.2.1',plain,[-(member(1 ^ [5 ^ [], 4 ^ []], 4 ^ [])), -(subset(4 ^ [], 5 ^ []))],extension(7,bind([[_14927, _14983], [4 ^ [], 5 ^ []]]))).
% 73.19/70.94 cnf('1.1.1.1.1.2.1.1',plain,[subset(4 ^ [], 5 ^ [])],reduction('1')).
% 73.19/70.94 cnf('1.1.1.1.1.2.2',plain,[-(1 ^ [5 ^ [], 4 ^ []] = 1 ^ [5 ^ [], 4 ^ []])],extension(5,bind([[_8169], [1 ^ [5 ^ [], 4 ^ []]]]))).
% 73.19/70.94 cnf('1.1.1.1.1.2.3',plain,[-(4 ^ [] = 4 ^ [])],extension(5,bind([[_8169], [4 ^ []]]))).
% 73.19/70.94 cnf('1.1.1.1.2',plain,[member(1 ^ [5 ^ [], 4 ^ []], union(difference(6 ^ [], 4 ^ []), 5 ^ [])), -(member(1 ^ [5 ^ [], 4 ^ []], difference(6 ^ [], 4 ^ []))), -(member(1 ^ [5 ^ [], 4 ^ []], 5 ^ []))],extension(16,bind([[_16686, _16627, _16744], [difference(6 ^ [], 4 ^ []), 1 ^ [5 ^ [], 4 ^ []], 5 ^ []]]))).
% 73.19/70.94 cnf('1.1.1.1.2.1',plain,[member(1 ^ [5 ^ [], 4 ^ []], difference(6 ^ [], 4 ^ [])), member(1 ^ [5 ^ [], 4 ^ []], 4 ^ [])],extension(18,bind([[_17453, _17332, _17393], [6 ^ [], 1 ^ [5 ^ [], 4 ^ []], 4 ^ []]]))).
% 73.19/70.94 cnf('1.1.1.1.2.1.1',plain,[-(member(1 ^ [5 ^ [], 4 ^ []], 4 ^ [])), -(subset(4 ^ [], 5 ^ []))],extension(7,bind([[_14927, _14983], [4 ^ [], 5 ^ []]]))).
% 73.19/70.94 cnf('1.1.1.1.2.1.1.1',plain,[subset(4 ^ [], 5 ^ [])],reduction('1')).
% 73.19/70.94 cnf('1.1.1.1.2.2',plain,[member(1 ^ [5 ^ [], 4 ^ []], 5 ^ []), -(member(1 ^ [5 ^ [], 4 ^ []], 5 ^ [])), 1 ^ [5 ^ [], 4 ^ []] = 1 ^ [5 ^ [], 4 ^ []], 5 ^ [] = 5 ^ []],extension(6,bind([[_9701, _9768, _9834, _9899], [1 ^ [5 ^ [], 4 ^ []], 1 ^ [5 ^ [], 4 ^ []], 5 ^ [], 5 ^ []]]))).
% 73.19/70.94 cnf('1.1.1.1.2.2.1',plain,[member(1 ^ [5 ^ [], 4 ^ []], 5 ^ []), -(subset(4 ^ [], 5 ^ []))],extension(8,bind([[_14927, _14983], [4 ^ [], 5 ^ []]]))).
% 73.19/70.94 cnf('1.1.1.1.2.2.1.1',plain,[subset(4 ^ [], 5 ^ [])],reduction('1')).
% 73.19/70.94 cnf('1.1.1.1.2.2.2',plain,[-(1 ^ [5 ^ [], 4 ^ []] = 1 ^ [5 ^ [], 4 ^ []])],extension(5,bind([[_8169], [1 ^ [5 ^ [], 4 ^ []]]]))).
% 73.19/70.94 cnf('1.1.1.1.2.2.3',plain,[-(5 ^ [] = 5 ^ [])],extension(5,bind([[_8169], [5 ^ []]]))).
% 73.19/70.94 cnf('1.2',plain,[-(equal_set(union(difference(6 ^ [], 4 ^ []), 5 ^ []), 6 ^ [])), subset(union(difference(6 ^ [], 4 ^ []), 5 ^ []), 6 ^ []), subset(6 ^ [], union(difference(6 ^ [], 4 ^ []), 5 ^ []))],extension(11,bind([[_15439, _15388], [6 ^ [], union(difference(6 ^ [], 4 ^ []), 5 ^ [])]]))).
% 73.19/70.94 cnf('1.2.1',plain,[-(subset(union(difference(6 ^ [], 4 ^ []), 5 ^ []), 6 ^ [])), -(member(1 ^ [6 ^ [], union(difference(6 ^ [], 4 ^ []), 5 ^ [])], union(difference(6 ^ [], 4 ^ []), 5 ^ [])))],extension(7,bind([[_14983, _14927], [6 ^ [], union(difference(6 ^ [], 4 ^ []), 5 ^ [])]]))).
% 73.19/70.94 cnf('1.2.1.1',plain,[member(1 ^ [6 ^ [], union(difference(6 ^ [], 4 ^ []), 5 ^ [])], union(difference(6 ^ [], 4 ^ []), 5 ^ [])), -(member(1 ^ [6 ^ [], union(difference(6 ^ [], 4 ^ []), 5 ^ [])], intersection(union(difference(6 ^ [], 4 ^ []), 5 ^ []), 6 ^ []))), member(1 ^ [6 ^ [], union(difference(6 ^ [], 4 ^ []), 5 ^ [])], 6 ^ [])],extension(13,bind([[_16173, _16114, _16231], [union(difference(6 ^ [], 4 ^ []), 5 ^ []), 1 ^ [6 ^ [], union(difference(6 ^ [], 4 ^ []), 5 ^ [])], 6 ^ []]]))).
% 73.19/70.94 cnf('1.2.1.1.1',plain,[member(1 ^ [6 ^ [], union(difference(6 ^ [], 4 ^ []), 5 ^ [])], intersection(union(difference(6 ^ [], 4 ^ []), 5 ^ []), 6 ^ [])), -(member(1 ^ [6 ^ [], union(difference(6 ^ [], 4 ^ []), 5 ^ [])], 6 ^ []))],extension(12,bind([[_16173, _16114, _16231], [union(difference(6 ^ [], 4 ^ []), 5 ^ []), 1 ^ [6 ^ [], union(difference(6 ^ [], 4 ^ []), 5 ^ [])], 6 ^ []]]))).
% 73.19/70.94 cnf('1.2.1.1.1.1',plain,[member(1 ^ [6 ^ [], union(difference(6 ^ [], 4 ^ []), 5 ^ [])], 6 ^ []), -(member(1 ^ [6 ^ [], union(difference(6 ^ [], 4 ^ []), 5 ^ [])], 6 ^ [])), 1 ^ [6 ^ [], union(difference(6 ^ [], 4 ^ []), 5 ^ [])] = 1 ^ [6 ^ [], union(difference(6 ^ [], 4 ^ []), 5 ^ [])], 6 ^ [] = 6 ^ []],extension(6,bind([[_9701, _9768, _9834, _9899], [1 ^ [6 ^ [], union(difference(6 ^ [], 4 ^ []), 5 ^ [])], 1 ^ [6 ^ [], union(difference(6 ^ [], 4 ^ []), 5 ^ [])], 6 ^ [], 6 ^ []]]))).
% 73.19/70.94 cnf('1.2.1.1.1.1.1',plain,[member(1 ^ [6 ^ [], union(difference(6 ^ [], 4 ^ []), 5 ^ [])], 6 ^ []), -(subset(union(difference(6 ^ [], 4 ^ []), 5 ^ []), 6 ^ []))],extension(8,bind([[_14927, _14983], [union(difference(6 ^ [], 4 ^ []), 5 ^ []), 6 ^ []]]))).
% 73.19/70.94 cnf('1.2.1.1.1.1.1.1',plain,[subset(union(difference(6 ^ [], 4 ^ []), 5 ^ []), 6 ^ [])],reduction('1.2')).
% 73.19/70.94 cnf('1.2.1.1.1.1.2',plain,[-(1 ^ [6 ^ [], union(difference(6 ^ [], 4 ^ []), 5 ^ [])] = 1 ^ [6 ^ [], union(difference(6 ^ [], 4 ^ []), 5 ^ [])])],extension(5,bind([[_8169], [1 ^ [6 ^ [], union(difference(6 ^ [], 4 ^ []), 5 ^ [])]]]))).
% 73.19/70.94 cnf('1.2.1.1.1.1.3',plain,[-(6 ^ [] = 6 ^ [])],extension(5,bind([[_8169], [6 ^ []]]))).
% 73.19/70.94 cnf('1.2.1.1.2',plain,[-(member(1 ^ [6 ^ [], union(difference(6 ^ [], 4 ^ []), 5 ^ [])], 6 ^ [])), member(1 ^ [6 ^ [], union(difference(6 ^ [], 4 ^ []), 5 ^ [])], difference(6 ^ [], 4 ^ []))],extension(17,bind([[_17332, _17453, _17393], [1 ^ [6 ^ [], union(difference(6 ^ [], 4 ^ []), 5 ^ [])], 6 ^ [], 4 ^ []]]))).
% 73.19/70.94 cnf('1.2.1.1.2.1',plain,[-(member(1 ^ [6 ^ [], union(difference(6 ^ [], 4 ^ []), 5 ^ [])], difference(6 ^ [], 4 ^ []))), member(1 ^ [6 ^ [], union(difference(6 ^ [], 4 ^ []), 5 ^ [])], union(difference(6 ^ [], 4 ^ []), 5 ^ [])), -(member(1 ^ [6 ^ [], union(difference(6 ^ [], 4 ^ []), 5 ^ [])], 5 ^ []))],extension(16,bind([[_16686, _16627, _16744], [difference(6 ^ [], 4 ^ []), 1 ^ [6 ^ [], union(difference(6 ^ [], 4 ^ []), 5 ^ [])], 5 ^ []]]))).
% 73.19/70.94 cnf('1.2.1.1.2.1.1',plain,[-(member(1 ^ [6 ^ [], union(difference(6 ^ [], 4 ^ []), 5 ^ [])], union(difference(6 ^ [], 4 ^ []), 5 ^ [])))],reduction('1.2.1')).
% 73.19/70.94 cnf('1.2.1.1.2.1.2',plain,[member(1 ^ [6 ^ [], union(difference(6 ^ [], 4 ^ []), 5 ^ [])], 5 ^ []), subset(5 ^ [], 6 ^ []), -(member(1 ^ [6 ^ [], union(difference(6 ^ [], 4 ^ []), 5 ^ [])], 6 ^ []))],extension(9,bind([[_14927, _15097, _14983], [5 ^ [], 1 ^ [6 ^ [], union(difference(6 ^ [], 4 ^ []), 5 ^ [])], 6 ^ []]]))).
% 73.19/70.94 cnf('1.2.1.1.2.1.2.1',plain,[-(subset(5 ^ [], 6 ^ []))],extension(2)).
% 73.19/70.94 cnf('1.2.1.1.2.1.2.2',plain,[member(1 ^ [6 ^ [], union(difference(6 ^ [], 4 ^ []), 5 ^ [])], 6 ^ [])],reduction('1.2.1.1')).
% 73.19/70.94 cnf('1.2.2',plain,[-(subset(6 ^ [], union(difference(6 ^ [], 4 ^ []), 5 ^ []))), -(member(1 ^ [union(difference(6 ^ [], 4 ^ []), 5 ^ []), 6 ^ []], 6 ^ []))],extension(7,bind([[_14983, _14927], [union(difference(6 ^ [], 4 ^ []), 5 ^ []), 6 ^ []]]))).
% 73.19/70.94 cnf('1.2.2.1',plain,[member(1 ^ [union(difference(6 ^ [], 4 ^ []), 5 ^ []), 6 ^ []], 6 ^ []), -(member(1 ^ [union(difference(6 ^ [], 4 ^ []), 5 ^ []), 6 ^ []], difference(6 ^ [], 4 ^ []))), -(member(1 ^ [union(difference(6 ^ [], 4 ^ []), 5 ^ []), 6 ^ []], 4 ^ []))],extension(19,bind([[_17453, _17332, _17393], [6 ^ [], 1 ^ [union(difference(6 ^ [], 4 ^ []), 5 ^ []), 6 ^ []], 4 ^ []]]))).
% 73.19/70.94 cnf('1.2.2.1.1',plain,[member(1 ^ [union(difference(6 ^ [], 4 ^ []), 5 ^ []), 6 ^ []], difference(6 ^ [], 4 ^ [])), -(member(1 ^ [union(difference(6 ^ [], 4 ^ []), 5 ^ []), 6 ^ []], intersection(difference(6 ^ [], 4 ^ []), union(difference(6 ^ [], 4 ^ []), 5 ^ [])))), member(1 ^ [union(difference(6 ^ [], 4 ^ []), 5 ^ []), 6 ^ []], union(difference(6 ^ [], 4 ^ []), 5 ^ []))],extension(13,bind([[_16173, _16114, _16231], [difference(6 ^ [], 4 ^ []), 1 ^ [union(difference(6 ^ [], 4 ^ []), 5 ^ []), 6 ^ []], union(difference(6 ^ [], 4 ^ []), 5 ^ [])]]))).
% 73.19/70.94 cnf('1.2.2.1.1.1',plain,[member(1 ^ [union(difference(6 ^ [], 4 ^ []), 5 ^ []), 6 ^ []], intersection(difference(6 ^ [], 4 ^ []), union(difference(6 ^ [], 4 ^ []), 5 ^ []))), -(member(1 ^ [union(difference(6 ^ [], 4 ^ []), 5 ^ []), 6 ^ []], union(difference(6 ^ [], 4 ^ []), 5 ^ [])))],extension(12,bind([[_16173, _16114, _16231], [difference(6 ^ [], 4 ^ []), 1 ^ [union(difference(6 ^ [], 4 ^ []), 5 ^ []), 6 ^ []], union(difference(6 ^ [], 4 ^ []), 5 ^ [])]]))).
% 73.19/70.94 cnf('1.2.2.1.1.1.1',plain,[member(1 ^ [union(difference(6 ^ [], 4 ^ []), 5 ^ []), 6 ^ []], union(difference(6 ^ [], 4 ^ []), 5 ^ [])), -(subset(6 ^ [], union(difference(6 ^ [], 4 ^ []), 5 ^ [])))],extension(8,bind([[_14927, _14983], [6 ^ [], union(difference(6 ^ [], 4 ^ []), 5 ^ [])]]))).
% 73.19/70.94 cnf('1.2.2.1.1.1.1.1',plain,[subset(6 ^ [], union(difference(6 ^ [], 4 ^ []), 5 ^ []))],reduction('1.2')).
% 73.19/70.94 cnf('1.2.2.1.1.2',plain,[-(member(1 ^ [union(difference(6 ^ [], 4 ^ []), 5 ^ []), 6 ^ []], union(difference(6 ^ [], 4 ^ []), 5 ^ []))), member(1 ^ [union(difference(6 ^ [], 4 ^ []), 5 ^ []), 6 ^ []], difference(6 ^ [], 4 ^ []))],extension(14,bind([[_16744, _16627, _16686], [5 ^ [], 1 ^ [union(difference(6 ^ [], 4 ^ []), 5 ^ []), 6 ^ []], difference(6 ^ [], 4 ^ [])]]))).
% 73.19/70.94 cnf('1.2.2.1.1.2.1',plain,[-(member(1 ^ [union(difference(6 ^ [], 4 ^ []), 5 ^ []), 6 ^ []], difference(6 ^ [], 4 ^ [])))],reduction('1.2.2.1')).
% 73.19/70.94 cnf('1.2.2.1.2',plain,[member(1 ^ [union(difference(6 ^ [], 4 ^ []), 5 ^ []), 6 ^ []], 4 ^ []), -(member(1 ^ [union(difference(6 ^ [], 4 ^ []), 5 ^ []), 6 ^ []], intersection(4 ^ [], union(difference(6 ^ [], 4 ^ []), 5 ^ [])))), member(1 ^ [union(difference(6 ^ [], 4 ^ []), 5 ^ []), 6 ^ []], union(difference(6 ^ [], 4 ^ []), 5 ^ []))],extension(13,bind([[_16173, _16114, _16231], [4 ^ [], 1 ^ [union(difference(6 ^ [], 4 ^ []), 5 ^ []), 6 ^ []], union(difference(6 ^ [], 4 ^ []), 5 ^ [])]]))).
% 73.19/70.94 cnf('1.2.2.1.2.1',plain,[member(1 ^ [union(difference(6 ^ [], 4 ^ []), 5 ^ []), 6 ^ []], intersection(4 ^ [], union(difference(6 ^ [], 4 ^ []), 5 ^ []))), -(member(1 ^ [union(difference(6 ^ [], 4 ^ []), 5 ^ []), 6 ^ []], union(difference(6 ^ [], 4 ^ []), 5 ^ [])))],extension(12,bind([[_16173, _16114, _16231], [4 ^ [], 1 ^ [union(difference(6 ^ [], 4 ^ []), 5 ^ []), 6 ^ []], union(difference(6 ^ [], 4 ^ []), 5 ^ [])]]))).
% 73.19/70.94 cnf('1.2.2.1.2.1.1',plain,[member(1 ^ [union(difference(6 ^ [], 4 ^ []), 5 ^ []), 6 ^ []], union(difference(6 ^ [], 4 ^ []), 5 ^ [])), -(subset(6 ^ [], union(difference(6 ^ [], 4 ^ []), 5 ^ [])))],extension(8,bind([[_14927, _14983], [6 ^ [], union(difference(6 ^ [], 4 ^ []), 5 ^ [])]]))).
% 73.19/70.94 cnf('1.2.2.1.2.1.1.1',plain,[subset(6 ^ [], union(difference(6 ^ [], 4 ^ []), 5 ^ []))],reduction('1.2')).
% 73.19/70.94 cnf('1.2.2.1.2.2',plain,[-(member(1 ^ [union(difference(6 ^ [], 4 ^ []), 5 ^ []), 6 ^ []], union(difference(6 ^ [], 4 ^ []), 5 ^ []))), member(1 ^ [union(difference(6 ^ [], 4 ^ []), 5 ^ []), 6 ^ []], 5 ^ [])],extension(15,bind([[_16686, _16627, _16744], [difference(6 ^ [], 4 ^ []), 1 ^ [union(difference(6 ^ [], 4 ^ []), 5 ^ []), 6 ^ []], 5 ^ []]]))).
% 73.19/70.94 cnf('1.2.2.1.2.2.1',plain,[-(member(1 ^ [union(difference(6 ^ [], 4 ^ []), 5 ^ []), 6 ^ []], 5 ^ [])), subset(4 ^ [], 5 ^ []), member(1 ^ [union(difference(6 ^ [], 4 ^ []), 5 ^ []), 6 ^ []], 4 ^ [])],extension(9,bind([[_14983, _15097, _14927], [5 ^ [], 1 ^ [union(difference(6 ^ [], 4 ^ []), 5 ^ []), 6 ^ []], 4 ^ []]]))).
% 73.19/70.94 cnf('1.2.2.1.2.2.1.1',plain,[-(subset(4 ^ [], 5 ^ [])), -(equal_set(union(difference(6 ^ [], 4 ^ []), 5 ^ []), 6 ^ []))],extension(4)).
% 73.19/70.94 cnf('1.2.2.1.2.2.1.1.1',plain,[equal_set(union(difference(6 ^ [], 4 ^ []), 5 ^ []), 6 ^ [])],reduction('1')).
% 73.19/70.94 cnf('1.2.2.1.2.2.1.2',plain,[-(member(1 ^ [union(difference(6 ^ [], 4 ^ []), 5 ^ []), 6 ^ []], 4 ^ []))],reduction('1.2.2.1')).
% 73.19/70.94 %-----------------------------------------------------
% 73.19/70.95
% 73.19/70.95 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------