TSTP Solution File: SET143+4 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET143+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n024.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 11:55:28 EDT 2023
% Result : Theorem 50.40s 48.91s
% Output : Proof 50.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET143+4 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu May 18 18:52:22 EDT 2023
% 0.12/0.33 % CPUTime :
% 50.40/48.91
% 50.40/48.91 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 50.40/48.91 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 50.40/48.91 %-----------------------------------------------------
% 50.40/48.91 ncf(matrix, plain, [(302 ^ _62651) ^ [] : [equal_set(intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])))], !, (183 ^ _52093) ^ [_58449, _58451, _58453] : [-(member(_58453, intersection(_58451, _58449))), member(_58453, _58451), member(_58453, _58449)], (221 ^ _52093) ^ [_59749, _59751, _59753] : [-(member(_59753, difference(_59749, _59751))), member(_59753, _59749), -(member(_59753, _59751))], (243 ^ _52093) ^ [_60523, _60525, _60527] : [member(_60527, unordered_pair(_60525, _60523)), -(_60527 = _60525), -(_60527 = _60523)], (78 ^ _52093) ^ [_54768, _54770, _54772, _54774] : [-(difference(_54774, _54770) = difference(_54772, _54768)), _54774 = _54772, _54770 = _54768], (203 ^ _52093) ^ [_59077, _59079, _59081] : [204 ^ _52093 : [(207 ^ _52093) ^ [] : [member(_59081, _59077)], (205 ^ _52093) ^ [] : [member(_59081, _59079)]], -(member(_59081, union(_59079, _59077)))], (237 ^ _52093) ^ [_60264, _60266] : [_60266 = _60264, -(member(_60266, singleton(_60264)))], (4 ^ _52093) ^ [_52324, _52326] : [_52326 = _52324, -(_52324 = _52326)], (193 ^ _52093) ^ [_58809, _58811, _58813] : [member(_58813, union(_58811, _58809)), -(member(_58813, _58811)), -(member(_58813, _58809))], (2 ^ _52093) ^ [_52217] : [-(_52217 = _52217)], (116 ^ _52093) ^ [_56120, _56122, _56124, _56126] : [-(intersection(_56126, _56122) = intersection(_56124, _56120)), _56126 = _56124, _56122 = _56120], (104 ^ _52093) ^ [_55676, _55678] : [_55678 = _55676, -(sum(_55678) = sum(_55676))], (126 ^ _52093) ^ [_56506, _56508] : [subset(_56508, _56506), 129 ^ _52093 : [(130 ^ _52093) ^ [_56643] : [member(_56643, _56508), -(member(_56643, _56506))]]], (62 ^ _52093) ^ [_54163, _54165] : [_54165 = _54163, -(power_set(_54165) = power_set(_54163))], (136 ^ _52093) ^ [_56820, _56822] : [138 ^ _52093 : [(141 ^ _52093) ^ [] : [member(137 ^ [_56820, _56822], _56820)], (139 ^ _52093) ^ [] : [-(member(137 ^ [_56820, _56822], _56822))]], -(subset(_56822, _56820))], (169 ^ _52093) ^ [_57939, _57941] : [subset(_57941, _57939), -(member(_57941, power_set(_57939)))], (253 ^ _52093) ^ [_60791, _60793, _60795] : [254 ^ _52093 : [(257 ^ _52093) ^ [] : [_60795 = _60791], (255 ^ _52093) ^ [] : [_60795 = _60793]], -(member(_60795, unordered_pair(_60793, _60791)))], (270 ^ _52093) ^ [_61431, _61433] : [-(member(_61433, sum(_61431))), 271 ^ _52093 : [(272 ^ _52093) ^ [_61525] : [member(_61525, _61431), member(_61433, _61525)]]], (68 ^ _52093) ^ [_54409, _54411, _54413, _54415] : [-(union(_54415, _54411) = union(_54413, _54409)), _54415 = _54413, _54411 = _54409], (280 ^ _52093) ^ [_61808, _61810] : [member(_61810, product(_61808)), 283 ^ _52093 : [(284 ^ _52093) ^ [_61949] : [member(_61949, _61808), -(member(_61810, _61949))]]], (20 ^ _52093) ^ [_52869, _52871, _52873, _52875] : [-(subset(_52873, _52869)), subset(_52875, _52871), _52875 = _52873, _52871 = _52869], (153 ^ _52093) ^ [_57443, _57445] : [-(equal_set(_57445, _57443)), subset(_57445, _57443), subset(_57443, _57445)], (211 ^ _52093) ^ [_59347] : [member(_59347, empty_set)], (88 ^ _52093) ^ [_55099, _55101] : [_55101 = _55099, -(singleton(_55101) = singleton(_55099))], (145 ^ _52093) ^ [_57206, _57208] : [equal_set(_57208, _57206), 148 ^ _52093 : [(151 ^ _52093) ^ [] : [-(subset(_57206, _57208))], (149 ^ _52093) ^ [] : [-(subset(_57208, _57206))]]], (261 ^ _52093) ^ [_61120, _61122] : [member(_61122, sum(_61120)), 265 ^ _52093 : [(268 ^ _52093) ^ [] : [-(member(_61122, 264 ^ [_61120, _61122]))], (266 ^ _52093) ^ [] : [-(member(264 ^ [_61120, _61122], _61120))]]], (94 ^ _52093) ^ [_55345, _55347, _55349, _55351] : [-(unordered_pair(_55351, _55347) = unordered_pair(_55349, _55345)), _55351 = _55349, _55347 = _55345], (290 ^ _52093) ^ [_62126, _62128] : [292 ^ _52093 : [(295 ^ _52093) ^ [] : [member(_62128, 291 ^ [_62126, _62128])], (293 ^ _52093) ^ [] : [-(member(291 ^ [_62126, _62128], _62126))]], -(member(_62128, product(_62126)))], (163 ^ _52093) ^ [_57773, _57775] : [member(_57775, power_set(_57773)), -(subset(_57775, _57773))], (48 ^ _52093) ^ [_53737, _53739, _53741, _53743] : [-(equal_set(_53741, _53737)), equal_set(_53743, _53739), _53743 = _53741, _53739 = _53737], (34 ^ _52093) ^ [_53313, _53315, _53317, _53319] : [-(member(_53317, _53313)), member(_53319, _53315), _53319 = _53317, _53315 = _53313], (175 ^ _52093) ^ [_58198, _58200, _58202] : [member(_58202, intersection(_58200, _58198)), 178 ^ _52093 : [(181 ^ _52093) ^ [] : [-(member(_58202, _58198))], (179 ^ _52093) ^ [] : [-(member(_58202, _58200))]]], (10 ^ _52093) ^ [_52528, _52530, _52532] : [-(_52532 = _52528), _52532 = _52530, _52530 = _52528], (110 ^ _52093) ^ [_55894, _55896] : [_55896 = _55894, -(product(_55896) = product(_55894))], (231 ^ _52093) ^ [_60098, _60100] : [member(_60100, singleton(_60098)), -(_60100 = _60098)], (213 ^ _52093) ^ [_59497, _59499, _59501] : [member(_59501, difference(_59497, _59499)), 216 ^ _52093 : [(219 ^ _52093) ^ [] : [member(_59501, _59499)], (217 ^ _52093) ^ [] : [-(member(_59501, _59497))]]]], input).
% 50.40/48.91 ncf('1',plain,[equal_set(intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])))],start(302 ^ 0)).
% 50.40/48.91 ncf('1.1',plain,[-(equal_set(intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])))), subset(intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))), subset(intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []))],extension(153 ^ 1,bind([[_57443, _57445], [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])]]))).
% 50.40/48.91 ncf('1.1.1',plain,[-(subset(intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])))), 141 : member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])))],extension(136 ^ 2,bind([[_56820, _56822], [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])]]))).
% 50.40/48.91 ncf('1.1.1.1',plain,[-(member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])))), member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], 298 ^ []), member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], intersection(299 ^ [], 300 ^ []))],extension(183 ^ 5,bind([[_58449, _58451, _58453], [intersection(299 ^ [], 300 ^ []), 298 ^ [], 137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])]]]))).
% 50.40/48.91 ncf('1.1.1.1.1',plain,[-(member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], 298 ^ [])), member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], union(298 ^ [], intersection(intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])))), -(member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], intersection(intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []))))],extension(193 ^ 6,bind([[_58809, _58811, _58813], [intersection(intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])), 298 ^ [], 137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])]]]))).
% 50.40/48.91 ncf('1.1.1.1.1.1',plain,[-(member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], union(298 ^ [], intersection(intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []))))), 207 : member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], intersection(intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])))],extension(203 ^ 7,bind([[_59077, _59079, _59081], [intersection(intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])), 298 ^ [], 137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])]]]))).
% 50.40/48.91 ncf('1.1.1.1.1.1.1',plain,[-(member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], intersection(intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])))), member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])), member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []))],extension(183 ^ 10,bind([[_58449, _58451, _58453], [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), 137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])]]]))).
% 50.40/48.91 ncf('1.1.1.1.1.1.1.1',plain,[-(member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])))],extension(139 ^ 11)).
% 50.40/48.91 ncf('1.1.1.1.1.1.1.2',plain,[-(member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])))],extension(139 ^ 11)).
% 50.40/48.91 ncf('1.1.1.1.1.2',plain,[member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], intersection(intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []))), 181 : -(member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])))],extension(175 ^ 7,bind([[_58198, _58200, _58202], [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), 137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])]]]))).
% 50.40/48.91 ncf('1.1.1.1.1.2.1',plain,[member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])), 179 : -(member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], intersection(298 ^ [], 299 ^ [])))],extension(175 ^ 10,bind([[_58198, _58200, _58202], [300 ^ [], intersection(298 ^ [], 299 ^ []), 137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])]]]))).
% 50.40/48.91 ncf('1.1.1.1.1.2.1.1',plain,[member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], intersection(298 ^ [], 299 ^ [])), 179 : -(member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], 298 ^ []))],extension(175 ^ 13,bind([[_58198, _58200, _58202], [299 ^ [], 298 ^ [], 137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])]]]))).
% 50.40/48.91 ncf('1.1.1.1.1.2.1.1.1',plain,[member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], 298 ^ [])],reduction('1.1.1.1')).
% 50.40/48.91 ncf('1.1.1.1.2',plain,[-(member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], intersection(299 ^ [], 300 ^ []))), member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], 299 ^ []), member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], 300 ^ [])],extension(183 ^ 6,bind([[_58449, _58451, _58453], [300 ^ [], 299 ^ [], 137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])]]]))).
% 50.40/48.91 ncf('1.1.1.1.2.1',plain,[-(member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], 299 ^ [])), member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], union(299 ^ [], intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []))), -(member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])))],extension(193 ^ 7,bind([[_58809, _58811, _58813], [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), 299 ^ [], 137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])]]]))).
% 50.40/48.91 ncf('1.1.1.1.2.1.1',plain,[-(member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], union(299 ^ [], intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])))), 207 : member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []))],extension(203 ^ 8,bind([[_59077, _59079, _59081], [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), 299 ^ [], 137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])]]]))).
% 50.40/48.91 ncf('1.1.1.1.2.1.1.1',plain,[-(member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])))],extension(139 ^ 11)).
% 50.40/48.91 ncf('1.1.1.1.2.1.2',plain,[member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])), 179 : -(member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], intersection(298 ^ [], 299 ^ [])))],extension(175 ^ 8,bind([[_58198, _58200, _58202], [300 ^ [], intersection(298 ^ [], 299 ^ []), 137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])]]]))).
% 50.40/48.91 ncf('1.1.1.1.2.1.2.1',plain,[member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], intersection(298 ^ [], 299 ^ [])), 181 : -(member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], 299 ^ []))],extension(175 ^ 11,bind([[_58198, _58200, _58202], [299 ^ [], 298 ^ [], 137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])]]]))).
% 50.40/48.91 ncf('1.1.1.1.2.1.2.1.1',plain,[member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], 299 ^ [])],reduction('1.1.1.1.2')).
% 50.40/48.91 ncf('1.1.1.1.2.2',plain,[-(member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], 300 ^ [])), member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], union(300 ^ [], intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []))), -(member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])))],extension(193 ^ 7,bind([[_58809, _58811, _58813], [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), 300 ^ [], 137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])]]]))).
% 50.40/48.91 ncf('1.1.1.1.2.2.1',plain,[-(member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], union(300 ^ [], intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])))), 207 : member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []))],extension(203 ^ 8,bind([[_59077, _59079, _59081], [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), 300 ^ [], 137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])]]]))).
% 50.40/48.91 ncf('1.1.1.1.2.2.1.1',plain,[-(member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])))],extension(139 ^ 11)).
% 50.40/48.91 ncf('1.1.1.1.2.2.2',plain,[member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])), 181 : -(member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], 300 ^ []))],extension(175 ^ 8,bind([[_58198, _58200, _58202], [300 ^ [], intersection(298 ^ [], 299 ^ []), 137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])]]]))).
% 50.40/48.91 ncf('1.1.1.1.2.2.2.1',plain,[member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], 300 ^ [])],reduction('1.1.1.1.2')).
% 50.40/48.91 ncf('1.1.2',plain,[-(subset(intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []))), 141 : member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []))],extension(136 ^ 2,bind([[_56820, _56822], [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))]]))).
% 50.40/48.91 ncf('1.1.2.1',plain,[-(member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []))), member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], intersection(298 ^ [], 299 ^ [])), member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], 300 ^ [])],extension(183 ^ 5,bind([[_58449, _58451, _58453], [300 ^ [], intersection(298 ^ [], 299 ^ []), 137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))]]]))).
% 50.40/48.91 ncf('1.1.2.1.1',plain,[-(member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], intersection(298 ^ [], 299 ^ []))), member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], 298 ^ []), member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], 299 ^ [])],extension(183 ^ 6,bind([[_58449, _58451, _58453], [299 ^ [], 298 ^ [], 137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))]]]))).
% 50.40/48.91 ncf('1.1.2.1.1.1',plain,[-(member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], 298 ^ [])), member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], union(298 ^ [], intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])))), -(member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))))],extension(193 ^ 7,bind([[_58809, _58811, _58813], [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), 298 ^ [], 137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))]]]))).
% 50.40/48.91 ncf('1.1.2.1.1.1.1',plain,[-(member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], union(298 ^ [], intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))))), 207 : member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])))],extension(203 ^ 8,bind([[_59077, _59079, _59081], [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), 298 ^ [], 137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))]]]))).
% 50.40/48.91 ncf('1.1.2.1.1.1.1.1',plain,[-(member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))))],extension(139 ^ 11)).
% 50.40/48.91 ncf('1.1.2.1.1.1.2',plain,[member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))), 179 : -(member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], 298 ^ []))],extension(175 ^ 8,bind([[_58198, _58200, _58202], [intersection(299 ^ [], 300 ^ []), 298 ^ [], 137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))]]]))).
% 50.40/48.91 ncf('1.1.2.1.1.1.2.1',plain,[member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], 298 ^ [])],reduction('1.1.2.1.1')).
% 50.40/48.91 ncf('1.1.2.1.1.2',plain,[-(member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], 299 ^ [])), member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], union(299 ^ [], intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])))), -(member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))))],extension(193 ^ 7,bind([[_58809, _58811, _58813], [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), 299 ^ [], 137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))]]]))).
% 50.40/48.91 ncf('1.1.2.1.1.2.1',plain,[-(member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], union(299 ^ [], intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))))), 207 : member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])))],extension(203 ^ 8,bind([[_59077, _59079, _59081], [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), 299 ^ [], 137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))]]]))).
% 50.40/48.91 ncf('1.1.2.1.1.2.1.1',plain,[-(member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))))],extension(139 ^ 11)).
% 50.40/48.91 ncf('1.1.2.1.1.2.2',plain,[member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))), 181 : -(member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], intersection(299 ^ [], 300 ^ [])))],extension(175 ^ 8,bind([[_58198, _58200, _58202], [intersection(299 ^ [], 300 ^ []), 298 ^ [], 137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))]]]))).
% 50.40/48.91 ncf('1.1.2.1.1.2.2.1',plain,[member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], intersection(299 ^ [], 300 ^ [])), 179 : -(member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], 299 ^ []))],extension(175 ^ 11,bind([[_58198, _58200, _58202], [300 ^ [], 299 ^ [], 137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))]]]))).
% 50.40/48.91 ncf('1.1.2.1.1.2.2.1.1',plain,[member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], 299 ^ [])],reduction('1.1.2.1.1')).
% 50.40/48.91 ncf('1.1.2.1.2',plain,[-(member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], 300 ^ [])), member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], union(300 ^ [], intersection(intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))))), -(member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], intersection(intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])))))],extension(193 ^ 6,bind([[_58809, _58811, _58813], [intersection(intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))), 300 ^ [], 137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))]]]))).
% 50.40/48.91 ncf('1.1.2.1.2.1',plain,[-(member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], union(300 ^ [], intersection(intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])))))), 207 : member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], intersection(intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))))],extension(203 ^ 7,bind([[_59077, _59079, _59081], [intersection(intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))), 300 ^ [], 137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))]]]))).
% 50.40/48.91 ncf('1.1.2.1.2.1.1',plain,[-(member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], intersection(intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))))), member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))), member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])))],extension(183 ^ 10,bind([[_58449, _58451, _58453], [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), 137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))]]]))).
% 50.40/48.91 ncf('1.1.2.1.2.1.1.1',plain,[-(member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))))],extension(139 ^ 11)).
% 50.40/48.91 ncf('1.1.2.1.2.1.1.2',plain,[-(member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))))],extension(139 ^ 11)).
% 50.40/48.91 ncf('1.1.2.1.2.2',plain,[member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], intersection(intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])))), 181 : -(member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))))],extension(175 ^ 7,bind([[_58198, _58200, _58202], [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), 137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))]]]))).
% 50.40/48.91 ncf('1.1.2.1.2.2.1',plain,[member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))), 181 : -(member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], intersection(299 ^ [], 300 ^ [])))],extension(175 ^ 10,bind([[_58198, _58200, _58202], [intersection(299 ^ [], 300 ^ []), 298 ^ [], 137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))]]]))).
% 50.40/48.91 ncf('1.1.2.1.2.2.1.1',plain,[member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], intersection(299 ^ [], 300 ^ [])), 181 : -(member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], 300 ^ []))],extension(175 ^ 13,bind([[_58198, _58200, _58202], [300 ^ [], 299 ^ [], 137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))]]]))).
% 50.40/48.91 ncf('1.1.2.1.2.2.1.1.1',plain,[member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], 300 ^ [])],reduction('1.1.2.1')).
% 50.40/48.91 %-----------------------------------------------------
% 50.40/48.91 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------