TSTP Solution File: SET010+3 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET010+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n001.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 : 300s
% DateTime : Fri May 19 11:55:02 EDT 2023
% Result : Theorem 10.31s 10.64s
% Output : Proof 10.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SET010+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.10 % Command : nanocop.sh %s %d
% 0.10/0.29 % Computer : n001.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Thu May 18 19:37:50 EDT 2023
% 0.10/0.29 % CPUTime :
% 10.31/10.64
% 10.31/10.64 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 10.31/10.64 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.31/10.64 %-----------------------------------------------------
% 10.31/10.64 ncf(matrix, plain, [(227 ^ _41005) ^ [] : [difference(223 ^ [], intersection(224 ^ [], 225 ^ [])) = union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ []))], (48 ^ _41005) ^ [_42677, _42679, _42681, _42683] : [-(intersection(_42683, _42679) = intersection(_42681, _42677)), _42683 = _42681, _42679 = _42677], (58 ^ _41005) ^ [_43036, _43038, _43040, _43042] : [-(union(_43042, _43038) = union(_43040, _43036)), _43042 = _43040, _43038 = _43036], (68 ^ _41005) ^ [_43375, _43377, _43379, _43381] : [-(difference(_43381, _43377) = difference(_43379, _43375)), _43381 = _43379, _43377 = _43375], (2 ^ _41005) ^ [_41149] : [-(_41149 = _41149)], (4 ^ _41005) ^ [_41256, _41258] : [_41258 = _41256, -(_41256 = _41258)], (10 ^ _41005) ^ [_41460, _41462, _41464] : [-(_41464 = _41460), _41464 = _41462, _41462 = _41460], (20 ^ _41005) ^ [_41801, _41803, _41805, _41807] : [-(subset(_41805, _41801)), subset(_41807, _41803), _41807 = _41805, _41803 = _41801], (34 ^ _41005) ^ [_42225, _42227, _42229, _42231] : [-(member(_42229, _42225)), member(_42231, _42227), _42231 = _42229, _42227 = _42225], (88 ^ _41005) ^ [_44027, _44029, _44031] : [89 ^ _41005 : [(90 ^ _41005) ^ [] : [member(_44027, _44031)], (92 ^ _41005) ^ [] : [member(_44027, _44029)]], -(member(_44027, union(_44031, _44029)))], (78 ^ _41005) ^ [_43759, _43761, _43763] : [member(_43759, union(_43763, _43761)), -(member(_43759, _43763)), -(member(_43759, _43761))], (96 ^ _41005) ^ [_44370, _44372, _44374] : [member(_44370, intersection(_44374, _44372)), 99 ^ _41005 : [(100 ^ _41005) ^ [] : [-(member(_44370, _44374))], (102 ^ _41005) ^ [] : [-(member(_44370, _44372))]]], (104 ^ _41005) ^ [_44621, _44623, _44625] : [-(member(_44621, intersection(_44625, _44623))), member(_44621, _44625), member(_44621, _44623)], (114 ^ _41005) ^ [_44981, _44983, _44985] : [member(_44981, difference(_44985, _44983)), 117 ^ _41005 : [(118 ^ _41005) ^ [] : [-(member(_44981, _44985))], (120 ^ _41005) ^ [] : [member(_44981, _44983)]]], (122 ^ _41005) ^ [_45233, _45235, _45237] : [-(member(_45233, difference(_45237, _45235))), member(_45233, _45237), -(member(_45233, _45235))], (132 ^ _41005) ^ [_45567, _45569, _45571] : [-(subset(union(_45571, _45567), _45569)), subset(_45571, _45569), subset(_45567, _45569)], (142 ^ _41005) ^ [_45867, _45869] : [-(subset(intersection(_45869, _45867), _45869))], (144 ^ _41005) ^ [_45993, _45995, _45997] : [subset(_45997, _45995), -(subset(difference(_45993, _45995), difference(_45993, _45997)))], (150 ^ _41005) ^ [_46250, _46252] : [_46252 = _46250, 153 ^ _41005 : [(154 ^ _41005) ^ [] : [-(subset(_46252, _46250))], (156 ^ _41005) ^ [] : [-(subset(_46250, _46252))]]], (158 ^ _41005) ^ [_46487, _46489] : [-(_46489 = _46487), subset(_46489, _46487), subset(_46487, _46489)], (168 ^ _41005) ^ [_46773, _46775] : [-(union(_46775, _46773) = union(_46773, _46775))], (170 ^ _41005) ^ [_46873, _46875] : [-(intersection(_46875, _46873) = intersection(_46873, _46875))], (182 ^ _41005) ^ [_47331, _47333] : [184 ^ _41005 : [(185 ^ _41005) ^ [] : [-(member(183 ^ [_47331, _47333], _47333))], (187 ^ _41005) ^ [] : [member(183 ^ [_47331, _47333], _47331)]], -(subset(_47333, _47331))], (172 ^ _41005) ^ [_47017, _47019] : [subset(_47019, _47017), 175 ^ _41005 : [(176 ^ _41005) ^ [_47154] : [member(_47154, _47019), -(member(_47154, _47017))]]], (191 ^ _41005) ^ [_47659] : [-(subset(_47659, _47659))], (209 ^ _41005) ^ [_48292, _48294] : [-(_48294 = _48292), 213 ^ _41005 : [(214 ^ _41005) ^ [] : [-(member(210 ^ [_48292, _48294], _48294))], (216 ^ _41005) ^ [] : [member(210 ^ [_48292, _48294], _48292)]], 217 ^ _41005 : [(218 ^ _41005) ^ [] : [-(member(210 ^ [_48292, _48294], _48292))], (220 ^ _41005) ^ [] : [member(210 ^ [_48292, _48294], _48294)]]], (193 ^ _41005) ^ [_47775, _47777] : [_47777 = _47775, 196 ^ _41005 : [(197 ^ _41005) ^ [_47941] : [member(_47941, _47777), -(member(_47941, _47775))], (203 ^ _41005) ^ [_48113] : [member(_48113, _47775), -(member(_48113, _47777))]]]], input).
% 10.31/10.64 ncf('1',plain,[member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], difference(223 ^ [], intersection(224 ^ [], 225 ^ []))), 120 : member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], intersection(224 ^ [], 225 ^ []))],start(114 ^ 0,bind([[_44981, _44983, _44985], [210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], intersection(224 ^ [], 225 ^ []), 223 ^ []]]))).
% 10.31/10.64 ncf('1.1',plain,[-(member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], difference(223 ^ [], intersection(224 ^ [], 225 ^ [])))), member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], union(difference(223 ^ [], intersection(224 ^ [], 225 ^ [])), union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])))), -(member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ []))))],extension(78 ^ 1,bind([[_43759, _43761, _43763], [210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))]]))).
% 10.31/10.64 ncf('1.1.1',plain,[-(member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], union(difference(223 ^ [], intersection(224 ^ [], 225 ^ [])), union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ []))))), 92 : member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])))],extension(88 ^ 2,bind([[_44027, _44029, _44031], [210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))]]))).
% 10.31/10.64 ncf('1.1.1.1',plain,[-(member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])))), member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], difference(223 ^ [], intersection(224 ^ [], 225 ^ []))), 210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))] = 210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], difference(223 ^ [], intersection(224 ^ [], 225 ^ [])) = union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ []))],extension(34 ^ 5,bind([[_42225, _42227, _42229, _42231], [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ [])), 210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], 210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))]]]))).
% 10.31/10.64 ncf('1.1.1.1.1',plain,[-(member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], difference(223 ^ [], intersection(224 ^ [], 225 ^ [])))), member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ []))), 210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))] = 210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])) = difference(223 ^ [], intersection(224 ^ [], 225 ^ []))],extension(34 ^ 6,bind([[_42225, _42227, _42229, _42231], [difference(223 ^ [], intersection(224 ^ [], 225 ^ [])), union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), 210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], 210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))]]]))).
% 10.31/10.64 ncf('1.1.1.1.1.1',plain,[-(member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])))), member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], difference(223 ^ [], intersection(224 ^ [], 225 ^ []))), 210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))] = 210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], difference(223 ^ [], intersection(224 ^ [], 225 ^ [])) = union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ []))],extension(34 ^ 7,bind([[_42225, _42227, _42229, _42231], [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ [])), 210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], 210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))]]]))).
% 10.31/10.64 ncf('1.1.1.1.1.1.1',plain,[-(member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], difference(223 ^ [], intersection(224 ^ [], 225 ^ [])))), -(difference(223 ^ [], intersection(224 ^ [], 225 ^ [])) = union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ []))), 218 : -(member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ []))))],extension(209 ^ 8,bind([[_48292, _48294], [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))]]))).
% 10.31/10.64 ncf('1.1.1.1.1.1.1.1',plain,[difference(223 ^ [], intersection(224 ^ [], 225 ^ [])) = union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ []))],extension(227 ^ 9)).
% 10.31/10.64 ncf('1.1.1.1.1.1.1.2',plain,[member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])))],reduction('1.1.1.1.1')).
% 10.31/10.64 ncf('1.1.1.1.1.1.2',plain,[-(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))] = 210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))])],extension(2 ^ 8,bind([[_41149], [210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))]]]))).
% 10.31/10.64 ncf('1.1.1.1.1.1.3',plain,[-(difference(223 ^ [], intersection(224 ^ [], 225 ^ [])) = union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ []))), 214 : -(member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], difference(223 ^ [], intersection(224 ^ [], 225 ^ [])))), 218 : -(member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ []))))],extension(209 ^ 8,bind([[_48292, _48294], [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))]]))).
% 10.31/10.64 ncf('1.1.1.1.1.1.3.1',plain,[member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], difference(223 ^ [], intersection(224 ^ [], 225 ^ [])))],reduction('1.1.1.1')).
% 10.31/10.64 ncf('1.1.1.1.1.1.3.2',plain,[member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])))],reduction('1.1.1.1.1')).
% 10.31/10.64 ncf('1.1.1.1.1.2',plain,[-(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))] = 210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))])],extension(2 ^ 7,bind([[_41149], [210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))]]]))).
% 10.31/10.64 ncf('1.1.1.1.1.3',plain,[-(union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])) = difference(223 ^ [], intersection(224 ^ [], 225 ^ []))), difference(223 ^ [], intersection(224 ^ [], 225 ^ [])) = union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ []))],extension(4 ^ 7,bind([[_41256, _41258], [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))]]))).
% 10.31/10.64 ncf('1.1.1.1.1.3.1',plain,[-(difference(223 ^ [], intersection(224 ^ [], 225 ^ [])) = union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ []))), 214 : -(member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], difference(223 ^ [], intersection(224 ^ [], 225 ^ [])))), 218 : -(member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ []))))],extension(209 ^ 8,bind([[_48292, _48294], [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))]]))).
% 10.31/10.64 ncf('1.1.1.1.1.3.1.1',plain,[member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], difference(223 ^ [], intersection(224 ^ [], 225 ^ [])))],reduction('1.1.1.1')).
% 10.31/10.64 ncf('1.1.1.1.1.3.1.2',plain,[member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])))],reduction('1.1.1')).
% 10.31/10.64 ncf('1.1.1.1.2',plain,[-(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))] = 210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))])],extension(2 ^ 6,bind([[_41149], [210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))]]]))).
% 10.31/10.64 ncf('1.1.1.1.3',plain,[-(difference(223 ^ [], intersection(224 ^ [], 225 ^ [])) = union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ []))), 214 : -(member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], difference(223 ^ [], intersection(224 ^ [], 225 ^ [])))), 218 : -(member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ []))))],extension(209 ^ 6,bind([[_48292, _48294], [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))]]))).
% 10.31/10.64 ncf('1.1.1.1.3.1',plain,[member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], difference(223 ^ [], intersection(224 ^ [], 225 ^ [])))],reduction('1')).
% 10.31/10.64 ncf('1.1.1.1.3.2',plain,[member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])))],reduction('1.1.1')).
% 10.31/10.64 ncf('1.1.2',plain,[member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ []))), -(member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], difference(223 ^ [], 224 ^ []))), -(member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], difference(223 ^ [], 225 ^ [])))],extension(78 ^ 2,bind([[_43759, _43761, _43763], [210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], difference(223 ^ [], 225 ^ []), difference(223 ^ [], 224 ^ [])]]))).
% 10.31/10.64 ncf('1.1.2.1',plain,[member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], difference(223 ^ [], 224 ^ [])), 118 : -(member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], 223 ^ []))],extension(114 ^ 3,bind([[_44981, _44983, _44985], [210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], 224 ^ [], 223 ^ []]]))).
% 10.31/10.64 ncf('1.1.2.1.1',plain,[member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], 223 ^ []), -(member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], difference(223 ^ [], intersection(224 ^ [], 225 ^ [])))), -(member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], intersection(224 ^ [], 225 ^ [])))],extension(122 ^ 6,bind([[_45233, _45235, _45237], [210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], intersection(224 ^ [], 225 ^ []), 223 ^ []]]))).
% 10.31/10.64 ncf('1.1.2.1.1.1',plain,[member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], difference(223 ^ [], intersection(224 ^ [], 225 ^ [])))],reduction('1')).
% 10.31/10.64 ncf('1.1.2.1.1.2',plain,[member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], intersection(224 ^ [], 225 ^ [])), 100 : -(member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], 224 ^ []))],extension(96 ^ 7,bind([[_44370, _44372, _44374], [210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], 225 ^ [], 224 ^ []]]))).
% 10.31/10.64 ncf('1.1.2.1.1.2.1',plain,[member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], 224 ^ [])],extension(120 ^ 10)).
% 10.31/10.64 ncf('1.1.2.2',plain,[member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], difference(223 ^ [], 225 ^ [])), 118 : -(member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], 223 ^ []))],extension(114 ^ 3,bind([[_44981, _44983, _44985], [210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], 225 ^ [], 223 ^ []]]))).
% 10.31/10.64 ncf('1.1.2.2.1',plain,[member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], 223 ^ []), -(member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], difference(223 ^ [], intersection(224 ^ [], 225 ^ [])))), -(member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], intersection(224 ^ [], 225 ^ [])))],extension(122 ^ 6,bind([[_45233, _45235, _45237], [210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], intersection(224 ^ [], 225 ^ []), 223 ^ []]]))).
% 10.31/10.64 ncf('1.1.2.2.1.1',plain,[member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], difference(223 ^ [], intersection(224 ^ [], 225 ^ [])))],reduction('1')).
% 10.31/10.64 ncf('1.1.2.2.1.2',plain,[member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], intersection(224 ^ [], 225 ^ [])), 102 : -(member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], 225 ^ []))],extension(96 ^ 7,bind([[_44370, _44372, _44374], [210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], 225 ^ [], 224 ^ []]]))).
% 10.31/10.64 ncf('1.1.2.2.1.2.1',plain,[member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], 225 ^ [])],extension(120 ^ 10)).
% 10.31/10.64 ncf('1.2',plain,[-(member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], intersection(224 ^ [], 225 ^ []))), member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], union(intersection(224 ^ [], 225 ^ []), 223 ^ [])), -(member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], 223 ^ []))],extension(78 ^ 3,bind([[_43759, _43761, _43763], [210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], 223 ^ [], intersection(224 ^ [], 225 ^ [])]]))).
% 10.31/10.64 ncf('1.2.1',plain,[-(member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], union(intersection(224 ^ [], 225 ^ []), 223 ^ []))), 92 : member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], 223 ^ [])],extension(88 ^ 4,bind([[_44027, _44029, _44031], [210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], 223 ^ [], intersection(224 ^ [], 225 ^ [])]]))).
% 10.31/10.64 ncf('1.2.1.1',plain,[-(member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], 223 ^ [])), member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], 223 ^ []), 210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))] = 210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], 223 ^ [] = 223 ^ []],extension(34 ^ 7,bind([[_42225, _42227, _42229, _42231], [223 ^ [], 223 ^ [], 210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], 210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))]]]))).
% 10.31/10.64 ncf('1.2.1.1.1',plain,[-(member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], 223 ^ [])), member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], 223 ^ []), 210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))] = 210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], 223 ^ [] = 223 ^ []],extension(34 ^ 8,bind([[_42225, _42227, _42229, _42231], [223 ^ [], 223 ^ [], 210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], 210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))]]]))).
% 10.31/10.64 ncf('1.2.1.1.1.1',plain,[-(member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], 223 ^ [])), member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], 223 ^ []), 210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))] = 210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], 223 ^ [] = 223 ^ []],extension(34 ^ 9,bind([[_42225, _42227, _42229, _42231], [223 ^ [], 223 ^ [], 210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], 210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))]]]))).
% 10.31/10.64 ncf('1.2.1.1.1.1.1',plain,[-(member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], 223 ^ []))],extension(118 ^ 10)).
% 10.31/10.64 ncf('1.2.1.1.1.1.2',plain,[-(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))] = 210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))])],extension(2 ^ 10,bind([[_41149], [210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))]]]))).
% 10.31/10.64 ncf('1.2.1.1.1.1.3',plain,[-(223 ^ [] = 223 ^ [])],extension(2 ^ 10,bind([[_41149], [223 ^ []]]))).
% 10.31/10.64 ncf('1.2.1.1.1.2',plain,[-(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))] = 210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))])],extension(2 ^ 9,bind([[_41149], [210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))]]]))).
% 10.31/10.64 ncf('1.2.1.1.1.3',plain,[-(223 ^ [] = 223 ^ [])],extension(2 ^ 9,bind([[_41149], [223 ^ []]]))).
% 10.31/10.64 ncf('1.2.1.1.2',plain,[-(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))] = 210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))])],extension(2 ^ 8,bind([[_41149], [210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))]]]))).
% 10.31/10.64 ncf('1.2.1.1.3',plain,[-(223 ^ [] = 223 ^ [])],extension(2 ^ 8,bind([[_41149], [223 ^ []]]))).
% 10.31/10.64 ncf('1.2.2',plain,[member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], 223 ^ []), -(member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], difference(223 ^ [], 224 ^ []))), -(member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], 224 ^ []))],extension(122 ^ 4,bind([[_45233, _45235, _45237], [210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], 224 ^ [], 223 ^ []]]))).
% 10.31/10.64 ncf('1.2.2.1',plain,[member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], difference(223 ^ [], 224 ^ [])), -(member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ []))))],extension(88 ^ 5,bind([[_44027, _44029, _44031], [210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], difference(223 ^ [], 225 ^ []), difference(223 ^ [], 224 ^ [])]]))).
% 10.31/10.64 ncf('1.2.2.1.1',plain,[member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ []))), -(difference(223 ^ [], intersection(224 ^ [], 225 ^ [])) = union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ []))), 220 : member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], difference(223 ^ [], intersection(224 ^ [], 225 ^ [])))],extension(209 ^ 6,bind([[_48292, _48294], [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))]]))).
% 10.31/10.64 ncf('1.2.2.1.1.1',plain,[difference(223 ^ [], intersection(224 ^ [], 225 ^ [])) = union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ []))],extension(227 ^ 7)).
% 10.31/10.64 ncf('1.2.2.1.1.2',plain,[-(member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], difference(223 ^ [], intersection(224 ^ [], 225 ^ []))))],lemmata('x')).
% 10.31/10.64 ncf('1.2.2.2',plain,[member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], 224 ^ []), -(member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], intersection(224 ^ [], 225 ^ []))), member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], 225 ^ [])],extension(104 ^ 5,bind([[_44621, _44623, _44625], [210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], 225 ^ [], 224 ^ []]]))).
% 10.31/10.64 ncf('1.2.2.2.1',plain,[member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], intersection(224 ^ [], 225 ^ []))],reduction('1')).
% 10.31/10.64 ncf('1.2.2.2.2',plain,[-(member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], 225 ^ [])), -(member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], difference(223 ^ [], 225 ^ []))), member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], 223 ^ [])],extension(122 ^ 6,bind([[_45233, _45235, _45237], [210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], 225 ^ [], 223 ^ []]]))).
% 10.31/10.64 ncf('1.2.2.2.2.1',plain,[member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], difference(223 ^ [], 225 ^ [])), -(member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ []))))],extension(88 ^ 7,bind([[_44027, _44029, _44031], [210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], difference(223 ^ [], 225 ^ []), difference(223 ^ [], 224 ^ [])]]))).
% 10.31/10.64 ncf('1.2.2.2.2.1.1',plain,[member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ []))), -(difference(223 ^ [], intersection(224 ^ [], 225 ^ [])) = union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ []))), 220 : member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], difference(223 ^ [], intersection(224 ^ [], 225 ^ [])))],extension(209 ^ 8,bind([[_48292, _48294], [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))]]))).
% 10.31/10.64 ncf('1.2.2.2.2.1.1.1',plain,[difference(223 ^ [], intersection(224 ^ [], 225 ^ [])) = union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ []))],extension(227 ^ 9)).
% 10.31/10.64 ncf('1.2.2.2.2.1.1.2',plain,[-(member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], difference(223 ^ [], intersection(224 ^ [], 225 ^ []))))],lemmata('x')).
% 10.31/10.64 ncf('1.2.2.2.2.2',plain,[-(member(210 ^ [union(difference(223 ^ [], 224 ^ []), difference(223 ^ [], 225 ^ [])), difference(223 ^ [], intersection(224 ^ [], 225 ^ []))], 223 ^ []))],reduction('1.2')).
% 10.31/10.64 %-----------------------------------------------------
% 10.31/10.64 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------