TSTP Solution File: SET706+4 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET706+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n012.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 02:55:30 EDT 2022
% Result : Theorem 78.29s 76.07s
% Output : Proof 78.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET706+4 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n012.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 06:49:28 EDT 2022
% 0.13/0.34 % CPUTime :
% 78.29/76.07 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 78.37/76.08 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 78.37/76.09
% 78.37/76.09 %-----------------------------------------------------
% 78.37/76.09 fof(thI49, conjecture, ! [_44804, _44807, _44810] : (subset(_44810, _44807) & subset(_44807, _44804) => equal_set(difference(_44804, _44810), union(difference(_44807, _44810), difference(_44804, _44807)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', thI49)).
% 78.37/76.09 fof(subset, axiom, ! [_45111, _45114] : (subset(_45111, _45114) <=> ! [_45132] : (member(_45132, _45111) => member(_45132, _45114))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', subset)).
% 78.37/76.09 fof(equal_set, axiom, ! [_45341, _45344] : (equal_set(_45341, _45344) <=> subset(_45341, _45344) & subset(_45344, _45341)), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', equal_set)).
% 78.37/76.09 fof(intersection, axiom, ! [_45518, _45521, _45524] : (member(_45518, intersection(_45521, _45524)) <=> member(_45518, _45521) & member(_45518, _45524)), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', intersection)).
% 78.37/76.09 fof(union, axiom, ! [_45731, _45734, _45737] : (member(_45731, union(_45734, _45737)) <=> member(_45731, _45734) | member(_45731, _45737)), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', union)).
% 78.37/76.09 fof(difference, axiom, ! [_45957, _45960, _45963] : (member(_45957, difference(_45963, _45960)) <=> member(_45957, _45963) & ~ member(_45957, _45960)), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', difference)).
% 78.37/76.09
% 78.37/76.09 cnf(1, plain, [-(subset(6 ^ [], 5 ^ []))], clausify(thI49)).
% 78.37/76.09 cnf(2, plain, [-(subset(5 ^ [], 4 ^ []))], clausify(thI49)).
% 78.37/76.09 cnf(3, plain, [equal_set(difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])))], clausify(thI49)).
% 78.37/76.09 cnf(4, plain, [-(_8129 = _8129)], theory(equality)).
% 78.37/76.09 cnf(5, plain, [-(member(_9728, _9859)), member(_9661, _9794), _9661 = _9728, _9794 = _9859], theory(equality)).
% 78.37/76.09 cnf(6, plain, [-(subset(_14887, _14943)), -(member(1 ^ [_14943, _14887], _14887))], clausify(subset)).
% 78.37/76.09 cnf(7, plain, [-(subset(_14887, _14943)), member(1 ^ [_14943, _14887], _14943)], clausify(subset)).
% 78.37/76.09 cnf(8, plain, [subset(_14887, _14943), member(_15057, _14887), -(member(_15057, _14943))], clausify(subset)).
% 78.37/76.09 cnf(9, plain, [-(equal_set(_15348, _15399)), subset(_15348, _15399), subset(_15399, _15348)], clausify(equal_set)).
% 78.37/76.09 cnf(10, plain, [member(_16074, intersection(_16133, _16191)), -(member(_16074, _16191))], clausify(intersection)).
% 78.37/76.09 cnf(11, plain, [-(member(_16074, intersection(_16133, _16191))), member(_16074, _16133), member(_16074, _16191)], clausify(intersection)).
% 78.37/76.09 cnf(12, plain, [-(member(_16587, union(_16646, _16704))), member(_16587, _16646)], clausify(union)).
% 78.37/76.09 cnf(13, plain, [-(member(_16587, union(_16646, _16704))), member(_16587, _16704)], clausify(union)).
% 78.37/76.09 cnf(14, plain, [member(_16587, union(_16646, _16704)), -(member(_16587, _16646)), -(member(_16587, _16704))], clausify(union)).
% 78.37/76.09 cnf(15, plain, [member(_17292, difference(_17413, _17353)), -(member(_17292, _17413))], clausify(difference)).
% 78.37/76.09 cnf(16, plain, [member(_17292, difference(_17413, _17353)), member(_17292, _17353)], clausify(difference)).
% 78.37/76.09 cnf(17, plain, [-(member(_17292, difference(_17413, _17353))), member(_17292, _17413), -(member(_17292, _17353))], clausify(difference)).
% 78.37/76.09
% 78.37/76.09 cnf('1',plain,[equal_set(difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])))],start(3)).
% 78.37/76.09 cnf('1.1',plain,[-(equal_set(difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])))), subset(difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))), subset(union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ []))],extension(9,bind([[_15399, _15348], [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])]]))).
% 78.37/76.09 cnf('1.1.1',plain,[-(subset(difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])))), -(member(1 ^ [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])], difference(4 ^ [], 6 ^ [])))],extension(6,bind([[_14943, _14887], [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])]]))).
% 78.37/76.09 cnf('1.1.1.1',plain,[member(1 ^ [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])], difference(4 ^ [], 6 ^ [])), -(member(1 ^ [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])], intersection(difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))))), member(1 ^ [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])], union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])))],extension(11,bind([[_16133, _16074, _16191], [difference(4 ^ [], 6 ^ []), 1 ^ [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])], union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))]]))).
% 78.37/76.09 cnf('1.1.1.1.1',plain,[member(1 ^ [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])], intersection(difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])))), -(member(1 ^ [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])], union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))))],extension(10,bind([[_16133, _16074, _16191], [difference(4 ^ [], 6 ^ []), 1 ^ [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])], union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))]]))).
% 78.37/76.09 cnf('1.1.1.1.1.1',plain,[member(1 ^ [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])], union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))), -(member(1 ^ [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])], union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])))), 1 ^ [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])] = 1 ^ [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])], union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])) = union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))],extension(5,bind([[_9661, _9728, _9794, _9859], [1 ^ [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])], 1 ^ [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])], union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))]]))).
% 78.37/76.09 cnf('1.1.1.1.1.1.1',plain,[member(1 ^ [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])], union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))), -(member(1 ^ [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])], union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])))), 1 ^ [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])] = 1 ^ [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])], union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])) = union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))],extension(5,bind([[_9661, _9728, _9794, _9859], [1 ^ [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])], 1 ^ [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])], union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))]]))).
% 78.37/76.09 cnf('1.1.1.1.1.1.1.1',plain,[member(1 ^ [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])], union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))), -(subset(difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))))],extension(7,bind([[_14887, _14943], [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))]]))).
% 78.37/76.09 cnf('1.1.1.1.1.1.1.1.1',plain,[subset(difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])))],reduction('1.1')).
% 78.37/76.09 cnf('1.1.1.1.1.1.1.2',plain,[-(1 ^ [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])] = 1 ^ [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])])],extension(4,bind([[_8129], [1 ^ [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])]]]))).
% 78.37/76.09 cnf('1.1.1.1.1.1.1.3',plain,[-(union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])) = union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])))],extension(4,bind([[_8129], [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))]]))).
% 78.37/76.09 cnf('1.1.1.1.1.1.2',plain,[-(1 ^ [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])] = 1 ^ [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])])],extension(4,bind([[_8129], [1 ^ [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])]]]))).
% 78.37/76.09 cnf('1.1.1.1.1.1.3',plain,[-(union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])) = union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])))],extension(4,bind([[_8129], [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))]]))).
% 78.37/76.09 cnf('1.1.1.1.2',plain,[-(member(1 ^ [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])], union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])))), member(1 ^ [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])], difference(5 ^ [], 6 ^ []))],extension(12,bind([[_16704, _16587, _16646], [difference(4 ^ [], 5 ^ []), 1 ^ [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])], difference(5 ^ [], 6 ^ [])]]))).
% 78.37/76.09 cnf('1.1.1.1.2.1',plain,[-(member(1 ^ [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])], difference(5 ^ [], 6 ^ []))), member(1 ^ [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])], 5 ^ []), -(member(1 ^ [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])], 6 ^ []))],extension(17,bind([[_17413, _17292, _17353], [5 ^ [], 1 ^ [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])], 6 ^ []]]))).
% 78.37/76.09 cnf('1.1.1.1.2.1.1',plain,[-(member(1 ^ [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])], 5 ^ [])), -(member(1 ^ [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])], difference(4 ^ [], 5 ^ []))), member(1 ^ [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])], 4 ^ [])],extension(17,bind([[_17353, _17292, _17413], [5 ^ [], 1 ^ [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])], 4 ^ []]]))).
% 78.37/76.09 cnf('1.1.1.1.2.1.1.1',plain,[member(1 ^ [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])], difference(4 ^ [], 5 ^ [])), -(member(1 ^ [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])], union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))))],extension(13,bind([[_16587, _16646, _16704], [1 ^ [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])], difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])]]))).
% 78.37/76.09 cnf('1.1.1.1.2.1.1.1.1',plain,[member(1 ^ [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])], union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])))],reduction('1.1.1.1')).
% 78.37/76.09 cnf('1.1.1.1.2.1.1.2',plain,[-(member(1 ^ [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])], 4 ^ [])), member(1 ^ [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])], difference(4 ^ [], 6 ^ []))],extension(15,bind([[_17292, _17413, _17353], [1 ^ [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])], 4 ^ [], 6 ^ []]]))).
% 78.37/76.09 cnf('1.1.1.1.2.1.1.2.1',plain,[-(member(1 ^ [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])], difference(4 ^ [], 6 ^ [])))],reduction('1.1.1')).
% 78.37/76.09 cnf('1.1.1.1.2.1.2',plain,[member(1 ^ [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])], 6 ^ []), member(1 ^ [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])], difference(4 ^ [], 6 ^ []))],extension(16,bind([[_17292, _17413, _17353], [1 ^ [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])], 4 ^ [], 6 ^ []]]))).
% 78.37/76.09 cnf('1.1.1.1.2.1.2.1',plain,[-(member(1 ^ [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])], difference(4 ^ [], 6 ^ [])))],reduction('1.1.1')).
% 78.37/76.09 cnf('1.1.2',plain,[-(subset(union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ []))), -(member(1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))))],extension(6,bind([[_14943, _14887], [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))]]))).
% 78.37/76.09 cnf('1.1.2.1',plain,[member(1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))), -(member(1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], difference(5 ^ [], 6 ^ []))), -(member(1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], difference(4 ^ [], 5 ^ [])))],extension(14,bind([[_16646, _16587, _16704], [difference(5 ^ [], 6 ^ []), 1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], difference(4 ^ [], 5 ^ [])]]))).
% 78.37/76.09 cnf('1.1.2.1.1',plain,[member(1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], difference(5 ^ [], 6 ^ [])), -(member(1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], intersection(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 6 ^ [])))), member(1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], difference(4 ^ [], 6 ^ []))],extension(11,bind([[_16133, _16074, _16191], [difference(5 ^ [], 6 ^ []), 1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], difference(4 ^ [], 6 ^ [])]]))).
% 78.37/76.09 cnf('1.1.2.1.1.1',plain,[member(1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], intersection(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 6 ^ []))), -(member(1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], difference(4 ^ [], 6 ^ [])))],extension(10,bind([[_16133, _16074, _16191], [difference(5 ^ [], 6 ^ []), 1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], difference(4 ^ [], 6 ^ [])]]))).
% 78.37/76.09 cnf('1.1.2.1.1.1.1',plain,[member(1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], difference(4 ^ [], 6 ^ [])), -(member(1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], difference(4 ^ [], 6 ^ []))), 1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))] = 1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], difference(4 ^ [], 6 ^ []) = difference(4 ^ [], 6 ^ [])],extension(5,bind([[_9661, _9728, _9794, _9859], [1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], 1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], difference(4 ^ [], 6 ^ []), difference(4 ^ [], 6 ^ [])]]))).
% 78.37/76.09 cnf('1.1.2.1.1.1.1.1',plain,[member(1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], difference(4 ^ [], 6 ^ [])), -(subset(union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])))],extension(7,bind([[_14887, _14943], [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])]]))).
% 78.37/76.09 cnf('1.1.2.1.1.1.1.1.1',plain,[subset(union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ []))],reduction('1.1')).
% 78.37/76.09 cnf('1.1.2.1.1.1.1.2',plain,[-(1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))] = 1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))])],extension(4,bind([[_8129], [1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))]]]))).
% 78.37/76.09 cnf('1.1.2.1.1.1.1.3',plain,[-(difference(4 ^ [], 6 ^ []) = difference(4 ^ [], 6 ^ []))],extension(4,bind([[_8129], [difference(4 ^ [], 6 ^ [])]]))).
% 78.37/76.09 cnf('1.1.2.1.1.2',plain,[-(member(1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], difference(4 ^ [], 6 ^ []))), member(1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], 4 ^ []), -(member(1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], 6 ^ []))],extension(17,bind([[_17413, _17292, _17353], [4 ^ [], 1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], 6 ^ []]]))).
% 78.37/76.09 cnf('1.1.2.1.1.2.1',plain,[-(member(1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], 4 ^ [])), subset(5 ^ [], 4 ^ []), member(1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], 5 ^ [])],extension(8,bind([[_14943, _15057, _14887], [4 ^ [], 1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], 5 ^ []]]))).
% 78.37/76.09 cnf('1.1.2.1.1.2.1.1',plain,[-(subset(5 ^ [], 4 ^ []))],extension(2)).
% 78.37/76.09 cnf('1.1.2.1.1.2.1.2',plain,[-(member(1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], 5 ^ [])), member(1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], difference(5 ^ [], 6 ^ []))],extension(15,bind([[_17292, _17413, _17353], [1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], 5 ^ [], 6 ^ []]]))).
% 78.37/76.09 cnf('1.1.2.1.1.2.1.2.1',plain,[-(member(1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], difference(5 ^ [], 6 ^ [])))],reduction('1.1.2.1')).
% 78.37/76.09 cnf('1.1.2.1.1.2.2',plain,[member(1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], 6 ^ []), member(1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], difference(5 ^ [], 6 ^ []))],extension(16,bind([[_17292, _17413, _17353], [1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], 5 ^ [], 6 ^ []]]))).
% 78.37/76.09 cnf('1.1.2.1.1.2.2.1',plain,[-(member(1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], difference(5 ^ [], 6 ^ [])))],reduction('1.1.2.1')).
% 78.37/76.09 cnf('1.1.2.1.2',plain,[member(1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], difference(4 ^ [], 5 ^ [])), -(member(1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], intersection(difference(4 ^ [], 5 ^ []), difference(4 ^ [], 6 ^ [])))), member(1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], difference(4 ^ [], 6 ^ []))],extension(11,bind([[_16133, _16074, _16191], [difference(4 ^ [], 5 ^ []), 1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], difference(4 ^ [], 6 ^ [])]]))).
% 78.37/76.09 cnf('1.1.2.1.2.1',plain,[member(1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], intersection(difference(4 ^ [], 5 ^ []), difference(4 ^ [], 6 ^ []))), -(member(1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], difference(4 ^ [], 6 ^ [])))],extension(10,bind([[_16133, _16074, _16191], [difference(4 ^ [], 5 ^ []), 1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], difference(4 ^ [], 6 ^ [])]]))).
% 78.37/76.09 cnf('1.1.2.1.2.1.1',plain,[member(1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], difference(4 ^ [], 6 ^ [])), -(member(1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], difference(4 ^ [], 6 ^ []))), 1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))] = 1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], difference(4 ^ [], 6 ^ []) = difference(4 ^ [], 6 ^ [])],extension(5,bind([[_9661, _9728, _9794, _9859], [1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], 1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], difference(4 ^ [], 6 ^ []), difference(4 ^ [], 6 ^ [])]]))).
% 78.37/76.09 cnf('1.1.2.1.2.1.1.1',plain,[member(1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], difference(4 ^ [], 6 ^ [])), -(subset(union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])))],extension(7,bind([[_14887, _14943], [union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ [])]]))).
% 78.37/76.09 cnf('1.1.2.1.2.1.1.1.1',plain,[subset(union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ [])), difference(4 ^ [], 6 ^ []))],reduction('1.1')).
% 78.37/76.09 cnf('1.1.2.1.2.1.1.2',plain,[-(1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))] = 1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))])],extension(4,bind([[_8129], [1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))]]]))).
% 78.37/76.09 cnf('1.1.2.1.2.1.1.3',plain,[-(difference(4 ^ [], 6 ^ []) = difference(4 ^ [], 6 ^ []))],extension(4,bind([[_8129], [difference(4 ^ [], 6 ^ [])]]))).
% 78.37/76.09 cnf('1.1.2.1.2.2',plain,[-(member(1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], difference(4 ^ [], 6 ^ []))), member(1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], 4 ^ []), -(member(1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], 6 ^ []))],extension(17,bind([[_17413, _17292, _17353], [4 ^ [], 1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], 6 ^ []]]))).
% 78.37/76.09 cnf('1.1.2.1.2.2.1',plain,[-(member(1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], 4 ^ [])), member(1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], difference(4 ^ [], 5 ^ []))],extension(15,bind([[_17292, _17413, _17353], [1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], 4 ^ [], 5 ^ []]]))).
% 78.37/76.09 cnf('1.1.2.1.2.2.1.1',plain,[-(member(1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], difference(4 ^ [], 5 ^ [])))],reduction('1.1.2.1')).
% 78.37/76.09 cnf('1.1.2.1.2.2.2',plain,[member(1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], 6 ^ []), subset(6 ^ [], 5 ^ []), -(member(1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], 5 ^ []))],extension(8,bind([[_14887, _15057, _14943], [6 ^ [], 1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], 5 ^ []]]))).
% 78.37/76.09 cnf('1.1.2.1.2.2.2.1',plain,[-(subset(6 ^ [], 5 ^ []))],extension(1)).
% 78.37/76.09 cnf('1.1.2.1.2.2.2.2',plain,[member(1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], 5 ^ []), member(1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], difference(4 ^ [], 5 ^ []))],extension(16,bind([[_17292, _17413, _17353], [1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], 4 ^ [], 5 ^ []]]))).
% 78.37/76.09 cnf('1.1.2.1.2.2.2.2.1',plain,[-(member(1 ^ [difference(4 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(4 ^ [], 5 ^ []))], difference(4 ^ [], 5 ^ [])))],reduction('1.1.2.1')).
% 78.37/76.09 %-----------------------------------------------------
% 78.39/76.09
% 78.39/76.09 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------