TSTP Solution File: SET159+4 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET159+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n013.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 11:55:30 EDT 2023
% Result : Theorem 58.13s 57.13s
% Output : Proof 58.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SET159+4 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.09 % Command : nanocop.sh %s %d
% 0.08/0.28 % Computer : n013.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Thu May 18 19:13:35 EDT 2023
% 0.08/0.29 % CPUTime :
% 58.13/57.13
% 58.13/57.13 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 58.13/57.13 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 58.13/57.13 %-----------------------------------------------------
% 58.13/57.13 ncf(matrix, plain, [(302 ^ _61703) ^ [] : [equal_set(union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ [])))], !, (183 ^ _51145) ^ [_57501, _57503, _57505] : [-(member(_57505, intersection(_57503, _57501))), member(_57505, _57503), member(_57505, _57501)], (221 ^ _51145) ^ [_58801, _58803, _58805] : [-(member(_58805, difference(_58801, _58803))), member(_58805, _58801), -(member(_58805, _58803))], (243 ^ _51145) ^ [_59575, _59577, _59579] : [member(_59579, unordered_pair(_59577, _59575)), -(_59579 = _59577), -(_59579 = _59575)], (78 ^ _51145) ^ [_53820, _53822, _53824, _53826] : [-(difference(_53826, _53822) = difference(_53824, _53820)), _53826 = _53824, _53822 = _53820], (203 ^ _51145) ^ [_58129, _58131, _58133] : [204 ^ _51145 : [(207 ^ _51145) ^ [] : [member(_58133, _58129)], (205 ^ _51145) ^ [] : [member(_58133, _58131)]], -(member(_58133, union(_58131, _58129)))], (237 ^ _51145) ^ [_59316, _59318] : [_59318 = _59316, -(member(_59318, singleton(_59316)))], (4 ^ _51145) ^ [_51376, _51378] : [_51378 = _51376, -(_51376 = _51378)], (193 ^ _51145) ^ [_57861, _57863, _57865] : [member(_57865, union(_57863, _57861)), -(member(_57865, _57863)), -(member(_57865, _57861))], (2 ^ _51145) ^ [_51269] : [-(_51269 = _51269)], (116 ^ _51145) ^ [_55172, _55174, _55176, _55178] : [-(union(_55178, _55174) = union(_55176, _55172)), _55178 = _55176, _55174 = _55172], (104 ^ _51145) ^ [_54728, _54730] : [_54730 = _54728, -(sum(_54730) = sum(_54728))], (126 ^ _51145) ^ [_55558, _55560] : [subset(_55560, _55558), 129 ^ _51145 : [(130 ^ _51145) ^ [_55695] : [member(_55695, _55560), -(member(_55695, _55558))]]], (62 ^ _51145) ^ [_53215, _53217] : [_53217 = _53215, -(power_set(_53217) = power_set(_53215))], (136 ^ _51145) ^ [_55872, _55874] : [138 ^ _51145 : [(141 ^ _51145) ^ [] : [member(137 ^ [_55872, _55874], _55872)], (139 ^ _51145) ^ [] : [-(member(137 ^ [_55872, _55874], _55874))]], -(subset(_55874, _55872))], (169 ^ _51145) ^ [_56991, _56993] : [subset(_56993, _56991), -(member(_56993, power_set(_56991)))], (253 ^ _51145) ^ [_59843, _59845, _59847] : [254 ^ _51145 : [(257 ^ _51145) ^ [] : [_59847 = _59843], (255 ^ _51145) ^ [] : [_59847 = _59845]], -(member(_59847, unordered_pair(_59845, _59843)))], (270 ^ _51145) ^ [_60483, _60485] : [-(member(_60485, sum(_60483))), 271 ^ _51145 : [(272 ^ _51145) ^ [_60577] : [member(_60577, _60483), member(_60485, _60577)]]], (68 ^ _51145) ^ [_53461, _53463, _53465, _53467] : [-(intersection(_53467, _53463) = intersection(_53465, _53461)), _53467 = _53465, _53463 = _53461], (280 ^ _51145) ^ [_60860, _60862] : [member(_60862, product(_60860)), 283 ^ _51145 : [(284 ^ _51145) ^ [_61001] : [member(_61001, _60860), -(member(_60862, _61001))]]], (20 ^ _51145) ^ [_51921, _51923, _51925, _51927] : [-(subset(_51925, _51921)), subset(_51927, _51923), _51927 = _51925, _51923 = _51921], (153 ^ _51145) ^ [_56495, _56497] : [-(equal_set(_56497, _56495)), subset(_56497, _56495), subset(_56495, _56497)], (211 ^ _51145) ^ [_58399] : [member(_58399, empty_set)], (88 ^ _51145) ^ [_54151, _54153] : [_54153 = _54151, -(singleton(_54153) = singleton(_54151))], (145 ^ _51145) ^ [_56258, _56260] : [equal_set(_56260, _56258), 148 ^ _51145 : [(151 ^ _51145) ^ [] : [-(subset(_56258, _56260))], (149 ^ _51145) ^ [] : [-(subset(_56260, _56258))]]], (261 ^ _51145) ^ [_60172, _60174] : [member(_60174, sum(_60172)), 265 ^ _51145 : [(268 ^ _51145) ^ [] : [-(member(_60174, 264 ^ [_60172, _60174]))], (266 ^ _51145) ^ [] : [-(member(264 ^ [_60172, _60174], _60172))]]], (94 ^ _51145) ^ [_54397, _54399, _54401, _54403] : [-(unordered_pair(_54403, _54399) = unordered_pair(_54401, _54397)), _54403 = _54401, _54399 = _54397], (290 ^ _51145) ^ [_61178, _61180] : [292 ^ _51145 : [(295 ^ _51145) ^ [] : [member(_61180, 291 ^ [_61178, _61180])], (293 ^ _51145) ^ [] : [-(member(291 ^ [_61178, _61180], _61178))]], -(member(_61180, product(_61178)))], (163 ^ _51145) ^ [_56825, _56827] : [member(_56827, power_set(_56825)), -(subset(_56827, _56825))], (48 ^ _51145) ^ [_52789, _52791, _52793, _52795] : [-(equal_set(_52793, _52789)), equal_set(_52795, _52791), _52795 = _52793, _52791 = _52789], (34 ^ _51145) ^ [_52365, _52367, _52369, _52371] : [-(member(_52369, _52365)), member(_52371, _52367), _52371 = _52369, _52367 = _52365], (175 ^ _51145) ^ [_57250, _57252, _57254] : [member(_57254, intersection(_57252, _57250)), 178 ^ _51145 : [(181 ^ _51145) ^ [] : [-(member(_57254, _57250))], (179 ^ _51145) ^ [] : [-(member(_57254, _57252))]]], (10 ^ _51145) ^ [_51580, _51582, _51584] : [-(_51584 = _51580), _51584 = _51582, _51582 = _51580], (110 ^ _51145) ^ [_54946, _54948] : [_54948 = _54946, -(product(_54948) = product(_54946))], (231 ^ _51145) ^ [_59150, _59152] : [member(_59152, singleton(_59150)), -(_59152 = _59150)], (213 ^ _51145) ^ [_58549, _58551, _58553] : [member(_58553, difference(_58549, _58551)), 216 ^ _51145 : [(219 ^ _51145) ^ [] : [member(_58553, _58551)], (217 ^ _51145) ^ [] : [-(member(_58553, _58549))]]]], input).
% 58.13/57.13 ncf('1',plain,[equal_set(union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ [])))],start(302 ^ 0)).
% 58.13/57.13 ncf('1.1',plain,[-(equal_set(union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ [])))), subset(union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))), subset(union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ []))],extension(153 ^ 1,bind([[_56495, _56497], [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])]]))).
% 58.13/57.13 ncf('1.1.1',plain,[-(subset(union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ [])))), 139 : -(member(137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])], union(union(298 ^ [], 299 ^ []), 300 ^ [])))],extension(136 ^ 2,bind([[_55872, _55874], [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])]]))).
% 58.13/57.13 ncf('1.1.1.1',plain,[member(137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])], union(union(298 ^ [], 299 ^ []), 300 ^ [])), -(member(137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])], union(298 ^ [], 299 ^ []))), -(member(137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])], 300 ^ []))],extension(193 ^ 5,bind([[_57861, _57863, _57865], [300 ^ [], union(298 ^ [], 299 ^ []), 137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])]]]))).
% 58.13/57.13 ncf('1.1.1.1.1',plain,[member(137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])], union(298 ^ [], 299 ^ [])), -(member(137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])], 298 ^ [])), -(member(137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])], 299 ^ []))],extension(193 ^ 6,bind([[_57861, _57863, _57865], [299 ^ [], 298 ^ [], 137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])]]]))).
% 58.13/57.13 ncf('1.1.1.1.1.1',plain,[member(137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])], 298 ^ []), -(member(137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])], intersection(298 ^ [], union(298 ^ [], union(299 ^ [], 300 ^ []))))), member(137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])], union(298 ^ [], union(299 ^ [], 300 ^ [])))],extension(183 ^ 7,bind([[_57501, _57503, _57505], [union(298 ^ [], union(299 ^ [], 300 ^ [])), 298 ^ [], 137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])]]]))).
% 58.13/57.13 ncf('1.1.1.1.1.1.1',plain,[member(137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])], intersection(298 ^ [], union(298 ^ [], union(299 ^ [], 300 ^ [])))), 181 : -(member(137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])], union(298 ^ [], union(299 ^ [], 300 ^ []))))],extension(175 ^ 8,bind([[_57250, _57252, _57254], [union(298 ^ [], union(299 ^ [], 300 ^ [])), 298 ^ [], 137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])]]]))).
% 58.13/57.13 ncf('1.1.1.1.1.1.1.1',plain,[member(137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])], union(298 ^ [], union(299 ^ [], 300 ^ [])))],extension(141 ^ 11)).
% 58.13/57.13 ncf('1.1.1.1.1.1.2',plain,[-(member(137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])], union(298 ^ [], union(299 ^ [], 300 ^ [])))), 205 : member(137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])], 298 ^ [])],extension(203 ^ 8,bind([[_58129, _58131, _58133], [union(299 ^ [], 300 ^ []), 298 ^ [], 137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])]]]))).
% 58.13/57.13 ncf('1.1.1.1.1.1.2.1',plain,[-(member(137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])], 298 ^ []))],reduction('1.1.1.1.1')).
% 58.13/57.13 ncf('1.1.1.1.1.2',plain,[member(137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])], 299 ^ []), -(member(137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])], intersection(299 ^ [], union(298 ^ [], union(299 ^ [], 300 ^ []))))), member(137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])], union(298 ^ [], union(299 ^ [], 300 ^ [])))],extension(183 ^ 7,bind([[_57501, _57503, _57505], [union(298 ^ [], union(299 ^ [], 300 ^ [])), 299 ^ [], 137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])]]]))).
% 58.13/57.13 ncf('1.1.1.1.1.2.1',plain,[member(137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])], intersection(299 ^ [], union(298 ^ [], union(299 ^ [], 300 ^ [])))), 181 : -(member(137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])], union(298 ^ [], union(299 ^ [], 300 ^ []))))],extension(175 ^ 8,bind([[_57250, _57252, _57254], [union(298 ^ [], union(299 ^ [], 300 ^ [])), 299 ^ [], 137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])]]]))).
% 58.13/57.13 ncf('1.1.1.1.1.2.1.1',plain,[member(137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])], union(298 ^ [], union(299 ^ [], 300 ^ [])))],extension(141 ^ 11)).
% 58.13/57.13 ncf('1.1.1.1.1.2.2',plain,[-(member(137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])], union(298 ^ [], union(299 ^ [], 300 ^ [])))), 207 : member(137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])], union(299 ^ [], 300 ^ []))],extension(203 ^ 8,bind([[_58129, _58131, _58133], [union(299 ^ [], 300 ^ []), 298 ^ [], 137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])]]]))).
% 58.13/57.13 ncf('1.1.1.1.1.2.2.1',plain,[-(member(137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])], union(299 ^ [], 300 ^ []))), 205 : member(137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])], 299 ^ [])],extension(203 ^ 11,bind([[_58129, _58131, _58133], [300 ^ [], 299 ^ [], 137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])]]]))).
% 58.13/57.13 ncf('1.1.1.1.1.2.2.1.1',plain,[-(member(137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])], 299 ^ []))],reduction('1.1.1.1.1')).
% 58.13/57.13 ncf('1.1.1.1.2',plain,[member(137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])], 300 ^ []), -(member(137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])], intersection(300 ^ [], 300 ^ []))), member(137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])], 300 ^ [])],extension(183 ^ 6,bind([[_57501, _57503, _57505], [300 ^ [], 300 ^ [], 137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])]]]))).
% 58.13/57.13 ncf('1.1.1.1.2.1',plain,[member(137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])], intersection(300 ^ [], 300 ^ [])), -(member(137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])], intersection(intersection(300 ^ [], 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))))), member(137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])], union(298 ^ [], union(299 ^ [], 300 ^ [])))],extension(183 ^ 7,bind([[_57501, _57503, _57505], [union(298 ^ [], union(299 ^ [], 300 ^ [])), intersection(300 ^ [], 300 ^ []), 137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])]]]))).
% 58.13/57.13 ncf('1.1.1.1.2.1.1',plain,[member(137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])], intersection(intersection(300 ^ [], 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ [])))), 181 : -(member(137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])], union(298 ^ [], union(299 ^ [], 300 ^ []))))],extension(175 ^ 8,bind([[_57250, _57252, _57254], [union(298 ^ [], union(299 ^ [], 300 ^ [])), intersection(300 ^ [], 300 ^ []), 137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])]]]))).
% 58.13/57.13 ncf('1.1.1.1.2.1.1.1',plain,[member(137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])], union(298 ^ [], union(299 ^ [], 300 ^ [])))],extension(141 ^ 11)).
% 58.13/57.13 ncf('1.1.1.1.2.1.2',plain,[-(member(137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])], union(298 ^ [], union(299 ^ [], 300 ^ [])))), 207 : member(137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])], union(299 ^ [], 300 ^ []))],extension(203 ^ 8,bind([[_58129, _58131, _58133], [union(299 ^ [], 300 ^ []), 298 ^ [], 137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])]]]))).
% 58.13/57.13 ncf('1.1.1.1.2.1.2.1',plain,[-(member(137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])], union(299 ^ [], 300 ^ []))), 207 : member(137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])], 300 ^ [])],extension(203 ^ 11,bind([[_58129, _58131, _58133], [300 ^ [], 299 ^ [], 137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])]]]))).
% 58.13/57.13 ncf('1.1.1.1.2.1.2.1.1',plain,[-(member(137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])], 300 ^ []))],reduction('1.1.1.1')).
% 58.13/57.13 ncf('1.1.1.1.2.2',plain,[-(member(137 ^ [union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])], 300 ^ []))],reduction('1.1.1.1')).
% 58.13/57.13 ncf('1.1.2',plain,[-(subset(union(298 ^ [], union(299 ^ [], 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ []))), 139 : -(member(137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))], union(298 ^ [], union(299 ^ [], 300 ^ []))))],extension(136 ^ 2,bind([[_55872, _55874], [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))]]))).
% 58.13/57.13 ncf('1.1.2.1',plain,[member(137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))], union(298 ^ [], union(299 ^ [], 300 ^ []))), -(member(137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))], 298 ^ [])), -(member(137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))], union(299 ^ [], 300 ^ [])))],extension(193 ^ 5,bind([[_57861, _57863, _57865], [union(299 ^ [], 300 ^ []), 298 ^ [], 137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))]]]))).
% 58.13/57.13 ncf('1.1.2.1.1',plain,[member(137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))], 298 ^ []), -(member(137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))], difference(298 ^ [], union(union(298 ^ [], 299 ^ []), 300 ^ [])))), -(member(137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))], union(union(298 ^ [], 299 ^ []), 300 ^ [])))],extension(221 ^ 6,bind([[_58801, _58803, _58805], [298 ^ [], union(union(298 ^ [], 299 ^ []), 300 ^ []), 137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))]]]))).
% 58.13/57.13 ncf('1.1.2.1.1.1',plain,[member(137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))], difference(298 ^ [], union(union(298 ^ [], 299 ^ []), 300 ^ []))), -(member(137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))], intersection(difference(298 ^ [], union(union(298 ^ [], 299 ^ []), 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ [])))), member(137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))], union(union(298 ^ [], 299 ^ []), 300 ^ []))],extension(183 ^ 7,bind([[_57501, _57503, _57505], [union(union(298 ^ [], 299 ^ []), 300 ^ []), difference(298 ^ [], union(union(298 ^ [], 299 ^ []), 300 ^ [])), 137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))]]]))).
% 58.13/57.13 ncf('1.1.2.1.1.1.1',plain,[member(137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))], intersection(difference(298 ^ [], union(union(298 ^ [], 299 ^ []), 300 ^ [])), union(union(298 ^ [], 299 ^ []), 300 ^ []))), 181 : -(member(137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))], union(union(298 ^ [], 299 ^ []), 300 ^ [])))],extension(175 ^ 8,bind([[_57250, _57252, _57254], [union(union(298 ^ [], 299 ^ []), 300 ^ []), difference(298 ^ [], union(union(298 ^ [], 299 ^ []), 300 ^ [])), 137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))]]]))).
% 58.13/57.13 ncf('1.1.2.1.1.1.1.1',plain,[member(137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))], union(union(298 ^ [], 299 ^ []), 300 ^ []))],extension(141 ^ 11)).
% 58.13/57.13 ncf('1.1.2.1.1.1.2',plain,[-(member(137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))], union(union(298 ^ [], 299 ^ []), 300 ^ []))), 205 : member(137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))], union(298 ^ [], 299 ^ []))],extension(203 ^ 8,bind([[_58129, _58131, _58133], [300 ^ [], union(298 ^ [], 299 ^ []), 137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))]]]))).
% 58.13/57.13 ncf('1.1.2.1.1.1.2.1',plain,[-(member(137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))], union(298 ^ [], 299 ^ []))), 205 : member(137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))], 298 ^ [])],extension(203 ^ 11,bind([[_58129, _58131, _58133], [299 ^ [], 298 ^ [], 137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))]]]))).
% 58.13/57.13 ncf('1.1.2.1.1.1.2.1.1',plain,[-(member(137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))], 298 ^ []))],reduction('1.1.2.1')).
% 58.13/57.13 ncf('1.1.2.1.1.2',plain,[member(137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))], union(union(298 ^ [], 299 ^ []), 300 ^ [])), -(member(137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))], intersection(union(union(298 ^ [], 299 ^ []), 300 ^ []), union(union(298 ^ [], 299 ^ []), 300 ^ [])))), member(137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))], union(union(298 ^ [], 299 ^ []), 300 ^ []))],extension(183 ^ 7,bind([[_57501, _57503, _57505], [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(union(298 ^ [], 299 ^ []), 300 ^ []), 137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))]]]))).
% 58.13/57.13 ncf('1.1.2.1.1.2.1',plain,[member(137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))], intersection(union(union(298 ^ [], 299 ^ []), 300 ^ []), union(union(298 ^ [], 299 ^ []), 300 ^ []))), 181 : -(member(137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))], union(union(298 ^ [], 299 ^ []), 300 ^ [])))],extension(175 ^ 8,bind([[_57250, _57252, _57254], [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(union(298 ^ [], 299 ^ []), 300 ^ []), 137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))]]]))).
% 58.13/57.13 ncf('1.1.2.1.1.2.1.1',plain,[member(137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))], union(union(298 ^ [], 299 ^ []), 300 ^ []))],extension(141 ^ 11)).
% 58.13/57.13 ncf('1.1.2.1.1.2.2',plain,[-(member(137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))], union(union(298 ^ [], 299 ^ []), 300 ^ [])))],reduction('1.1.2.1.1')).
% 58.13/57.13 ncf('1.1.2.1.2',plain,[member(137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))], union(299 ^ [], 300 ^ [])), -(member(137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))], 299 ^ [])), -(member(137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))], 300 ^ []))],extension(193 ^ 6,bind([[_57861, _57863, _57865], [300 ^ [], 299 ^ [], 137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))]]]))).
% 58.13/57.13 ncf('1.1.2.1.2.1',plain,[member(137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))], 299 ^ []), -(member(137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))], intersection(299 ^ [], union(union(298 ^ [], 299 ^ []), 300 ^ [])))), member(137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))], union(union(298 ^ [], 299 ^ []), 300 ^ []))],extension(183 ^ 7,bind([[_57501, _57503, _57505], [union(union(298 ^ [], 299 ^ []), 300 ^ []), 299 ^ [], 137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))]]]))).
% 58.13/57.13 ncf('1.1.2.1.2.1.1',plain,[member(137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))], intersection(299 ^ [], union(union(298 ^ [], 299 ^ []), 300 ^ []))), 181 : -(member(137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))], union(union(298 ^ [], 299 ^ []), 300 ^ [])))],extension(175 ^ 8,bind([[_57250, _57252, _57254], [union(union(298 ^ [], 299 ^ []), 300 ^ []), 299 ^ [], 137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))]]]))).
% 58.13/57.13 ncf('1.1.2.1.2.1.1.1',plain,[member(137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))], union(union(298 ^ [], 299 ^ []), 300 ^ []))],extension(141 ^ 11)).
% 58.13/57.13 ncf('1.1.2.1.2.1.2',plain,[-(member(137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))], union(union(298 ^ [], 299 ^ []), 300 ^ []))), 205 : member(137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))], union(298 ^ [], 299 ^ []))],extension(203 ^ 8,bind([[_58129, _58131, _58133], [300 ^ [], union(298 ^ [], 299 ^ []), 137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))]]]))).
% 58.13/57.13 ncf('1.1.2.1.2.1.2.1',plain,[-(member(137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))], union(298 ^ [], 299 ^ []))), 207 : member(137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))], 299 ^ [])],extension(203 ^ 11,bind([[_58129, _58131, _58133], [299 ^ [], 298 ^ [], 137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))]]]))).
% 58.13/57.13 ncf('1.1.2.1.2.1.2.1.1',plain,[-(member(137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))], 299 ^ []))],reduction('1.1.2.1.2')).
% 58.13/57.13 ncf('1.1.2.1.2.2',plain,[member(137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))], 300 ^ []), -(member(137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))], intersection(300 ^ [], union(union(298 ^ [], 299 ^ []), 300 ^ [])))), member(137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))], union(union(298 ^ [], 299 ^ []), 300 ^ []))],extension(183 ^ 7,bind([[_57501, _57503, _57505], [union(union(298 ^ [], 299 ^ []), 300 ^ []), 300 ^ [], 137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))]]]))).
% 58.13/57.13 ncf('1.1.2.1.2.2.1',plain,[member(137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))], intersection(300 ^ [], union(union(298 ^ [], 299 ^ []), 300 ^ []))), 181 : -(member(137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))], union(union(298 ^ [], 299 ^ []), 300 ^ [])))],extension(175 ^ 8,bind([[_57250, _57252, _57254], [union(union(298 ^ [], 299 ^ []), 300 ^ []), 300 ^ [], 137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))]]]))).
% 58.13/57.13 ncf('1.1.2.1.2.2.1.1',plain,[member(137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))], union(union(298 ^ [], 299 ^ []), 300 ^ []))],extension(141 ^ 11)).
% 58.13/57.13 ncf('1.1.2.1.2.2.2',plain,[-(member(137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))], union(union(298 ^ [], 299 ^ []), 300 ^ []))), 207 : member(137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))], 300 ^ [])],extension(203 ^ 8,bind([[_58129, _58131, _58133], [300 ^ [], union(298 ^ [], 299 ^ []), 137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))]]]))).
% 58.13/57.13 ncf('1.1.2.1.2.2.2.1',plain,[-(member(137 ^ [union(union(298 ^ [], 299 ^ []), 300 ^ []), union(298 ^ [], union(299 ^ [], 300 ^ []))], 300 ^ []))],reduction('1.1.2.1.2')).
% 58.13/57.13 %-----------------------------------------------------
% 58.13/57.13 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------