TSTP Solution File: SET701+4 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET701+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n014.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 11:56:19 EDT 2023

% Result   : Theorem 46.75s 45.83s
% Output   : Proof 46.75s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET701+4 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n014.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 18:47:12 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 46.75/45.83  
% 46.75/45.83  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 46.75/45.83  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 46.75/45.83  %-----------------------------------------------------
% 46.75/45.83  ncf(matrix, plain, [(307 ^ _62589) ^ [] : [308 ^ _62589 : [(311 ^ _62589) ^ [] : [subset(intersection(298 ^ [], difference(301 ^ [], 299 ^ [])), intersection(300 ^ [], difference(301 ^ [], 300 ^ [])))], (309 ^ _62589) ^ [] : [-(subset(298 ^ [], 299 ^ []))]], 312 ^ _62589 : [(315 ^ _62589) ^ [] : [subset(298 ^ [], 299 ^ [])], (313 ^ _62589) ^ [] : [-(subset(intersection(298 ^ [], difference(301 ^ [], 299 ^ [])), intersection(300 ^ [], difference(301 ^ [], 300 ^ []))))]]], (305 ^ _62589) ^ [] : [-(subset(299 ^ [], 301 ^ []))], (303 ^ _62589) ^ [] : [-(subset(298 ^ [], 301 ^ []))], !, (183 ^ _51898) ^ [_58254, _58256, _58258] : [-(member(_58258, intersection(_58256, _58254))), member(_58258, _58256), member(_58258, _58254)], (221 ^ _51898) ^ [_59554, _59556, _59558] : [-(member(_59558, difference(_59554, _59556))), member(_59558, _59554), -(member(_59558, _59556))], (243 ^ _51898) ^ [_60328, _60330, _60332] : [member(_60332, unordered_pair(_60330, _60328)), -(_60332 = _60330), -(_60332 = _60328)], (78 ^ _51898) ^ [_54545, _54547] : [_54547 = _54545, -(singleton(_54547) = singleton(_54545))], (203 ^ _51898) ^ [_58882, _58884, _58886] : [204 ^ _51898 : [(207 ^ _51898) ^ [] : [member(_58886, _58882)], (205 ^ _51898) ^ [] : [member(_58886, _58884)]], -(member(_58886, union(_58884, _58882)))], (237 ^ _51898) ^ [_60069, _60071] : [_60071 = _60069, -(member(_60071, singleton(_60069)))], (4 ^ _51898) ^ [_52129, _52131] : [_52131 = _52129, -(_52129 = _52131)], (193 ^ _51898) ^ [_58614, _58616, _58618] : [member(_58618, union(_58616, _58614)), -(member(_58618, _58616)), -(member(_58618, _58614))], (2 ^ _51898) ^ [_52022] : [-(_52022 = _52022)], (116 ^ _51898) ^ [_55925, _55927, _55929, _55931] : [-(difference(_55931, _55927) = difference(_55929, _55925)), _55931 = _55929, _55927 = _55925], (100 ^ _51898) ^ [_55340, _55342] : [_55342 = _55340, -(product(_55342) = product(_55340))], (126 ^ _51898) ^ [_56311, _56313] : [subset(_56313, _56311), 129 ^ _51898 : [(130 ^ _51898) ^ [_56448] : [member(_56448, _56313), -(member(_56448, _56311))]]], (62 ^ _51898) ^ [_53968, _53970] : [_53970 = _53968, -(power_set(_53970) = power_set(_53968))], (136 ^ _51898) ^ [_56625, _56627] : [138 ^ _51898 : [(141 ^ _51898) ^ [] : [member(137 ^ [_56625, _56627], _56625)], (139 ^ _51898) ^ [] : [-(member(137 ^ [_56625, _56627], _56627))]], -(subset(_56627, _56625))], (169 ^ _51898) ^ [_57744, _57746] : [subset(_57746, _57744), -(member(_57746, power_set(_57744)))], (253 ^ _51898) ^ [_60596, _60598, _60600] : [254 ^ _51898 : [(257 ^ _51898) ^ [] : [_60600 = _60596], (255 ^ _51898) ^ [] : [_60600 = _60598]], -(member(_60600, unordered_pair(_60598, _60596)))], (270 ^ _51898) ^ [_61236, _61238] : [-(member(_61238, sum(_61236))), 271 ^ _51898 : [(272 ^ _51898) ^ [_61330] : [member(_61330, _61236), member(_61238, _61330)]]], (68 ^ _51898) ^ [_54214, _54216, _54218, _54220] : [-(union(_54220, _54216) = union(_54218, _54214)), _54220 = _54218, _54216 = _54214], (280 ^ _51898) ^ [_61613, _61615] : [member(_61615, product(_61613)), 283 ^ _51898 : [(284 ^ _51898) ^ [_61754] : [member(_61754, _61613), -(member(_61615, _61754))]]], (20 ^ _51898) ^ [_52674, _52676, _52678, _52680] : [-(equal_set(_52678, _52674)), equal_set(_52680, _52676), _52680 = _52678, _52676 = _52674], (153 ^ _51898) ^ [_57248, _57250] : [-(equal_set(_57250, _57248)), subset(_57250, _57248), subset(_57248, _57250)], (211 ^ _51898) ^ [_59152] : [member(_59152, empty_set)], (84 ^ _51898) ^ [_54791, _54793, _54795, _54797] : [-(unordered_pair(_54797, _54793) = unordered_pair(_54795, _54791)), _54797 = _54795, _54793 = _54791], (145 ^ _51898) ^ [_57011, _57013] : [equal_set(_57013, _57011), 148 ^ _51898 : [(151 ^ _51898) ^ [] : [-(subset(_57011, _57013))], (149 ^ _51898) ^ [] : [-(subset(_57013, _57011))]]], (261 ^ _51898) ^ [_60925, _60927] : [member(_60927, sum(_60925)), 265 ^ _51898 : [(268 ^ _51898) ^ [] : [-(member(_60927, 264 ^ [_60925, _60927]))], (266 ^ _51898) ^ [] : [-(member(264 ^ [_60925, _60927], _60925))]]], (94 ^ _51898) ^ [_55122, _55124] : [_55124 = _55122, -(sum(_55124) = sum(_55122))], (290 ^ _51898) ^ [_61931, _61933] : [292 ^ _51898 : [(295 ^ _51898) ^ [] : [member(_61933, 291 ^ [_61931, _61933])], (293 ^ _51898) ^ [] : [-(member(291 ^ [_61931, _61933], _61931))]], -(member(_61933, product(_61931)))], (163 ^ _51898) ^ [_57578, _57580] : [member(_57580, power_set(_57578)), -(subset(_57580, _57578))], (48 ^ _51898) ^ [_53542, _53544, _53546, _53548] : [-(subset(_53546, _53542)), subset(_53548, _53544), _53548 = _53546, _53544 = _53542], (34 ^ _51898) ^ [_53118, _53120, _53122, _53124] : [-(member(_53122, _53118)), member(_53124, _53120), _53124 = _53122, _53120 = _53118], (175 ^ _51898) ^ [_58003, _58005, _58007] : [member(_58007, intersection(_58005, _58003)), 178 ^ _51898 : [(181 ^ _51898) ^ [] : [-(member(_58007, _58003))], (179 ^ _51898) ^ [] : [-(member(_58007, _58005))]]], (10 ^ _51898) ^ [_52333, _52335, _52337] : [-(_52337 = _52333), _52337 = _52335, _52335 = _52333], (106 ^ _51898) ^ [_55586, _55588, _55590, _55592] : [-(intersection(_55592, _55588) = intersection(_55590, _55586)), _55592 = _55590, _55588 = _55586], (231 ^ _51898) ^ [_59903, _59905] : [member(_59905, singleton(_59903)), -(_59905 = _59903)], (213 ^ _51898) ^ [_59302, _59304, _59306] : [member(_59306, difference(_59302, _59304)), 216 ^ _51898 : [(219 ^ _51898) ^ [] : [member(_59306, _59304)], (217 ^ _51898) ^ [] : [-(member(_59306, _59302))]]]], input).
% 46.75/45.83  ncf('1',plain,[309 : -(subset(298 ^ [], 299 ^ [])), 313 : -(subset(intersection(298 ^ [], difference(301 ^ [], 299 ^ [])), intersection(300 ^ [], difference(301 ^ [], 300 ^ []))))],start(307 ^ 0)).
% 46.75/45.83  ncf('1.1',plain,[subset(298 ^ [], 299 ^ []), 130 : member(137 ^ [intersection(300 ^ [], difference(301 ^ [], 300 ^ [])), intersection(298 ^ [], difference(301 ^ [], 299 ^ []))], 298 ^ []), 130 : -(member(137 ^ [intersection(300 ^ [], difference(301 ^ [], 300 ^ [])), intersection(298 ^ [], difference(301 ^ [], 299 ^ []))], 299 ^ []))],extension(126 ^ 3,bind([[_56311, _56313, _56448], [299 ^ [], 298 ^ [], 137 ^ [intersection(300 ^ [], difference(301 ^ [], 300 ^ [])), intersection(298 ^ [], difference(301 ^ [], 299 ^ []))]]]))).
% 46.75/45.83  ncf('1.1.1',plain,[-(member(137 ^ [intersection(300 ^ [], difference(301 ^ [], 300 ^ [])), intersection(298 ^ [], difference(301 ^ [], 299 ^ []))], 298 ^ [])), member(137 ^ [intersection(300 ^ [], difference(301 ^ [], 300 ^ [])), intersection(298 ^ [], difference(301 ^ [], 299 ^ []))], union(298 ^ [], intersection(intersection(298 ^ [], difference(301 ^ [], 299 ^ [])), intersection(298 ^ [], difference(301 ^ [], 299 ^ []))))), -(member(137 ^ [intersection(300 ^ [], difference(301 ^ [], 300 ^ [])), intersection(298 ^ [], difference(301 ^ [], 299 ^ []))], intersection(intersection(298 ^ [], difference(301 ^ [], 299 ^ [])), intersection(298 ^ [], difference(301 ^ [], 299 ^ [])))))],extension(193 ^ 6,bind([[_58614, _58616, _58618], [intersection(intersection(298 ^ [], difference(301 ^ [], 299 ^ [])), intersection(298 ^ [], difference(301 ^ [], 299 ^ []))), 298 ^ [], 137 ^ [intersection(300 ^ [], difference(301 ^ [], 300 ^ [])), intersection(298 ^ [], difference(301 ^ [], 299 ^ []))]]]))).
% 46.75/45.83  ncf('1.1.1.1',plain,[-(member(137 ^ [intersection(300 ^ [], difference(301 ^ [], 300 ^ [])), intersection(298 ^ [], difference(301 ^ [], 299 ^ []))], union(298 ^ [], intersection(intersection(298 ^ [], difference(301 ^ [], 299 ^ [])), intersection(298 ^ [], difference(301 ^ [], 299 ^ [])))))), 207 : member(137 ^ [intersection(300 ^ [], difference(301 ^ [], 300 ^ [])), intersection(298 ^ [], difference(301 ^ [], 299 ^ []))], intersection(intersection(298 ^ [], difference(301 ^ [], 299 ^ [])), intersection(298 ^ [], difference(301 ^ [], 299 ^ []))))],extension(203 ^ 7,bind([[_58882, _58884, _58886], [intersection(intersection(298 ^ [], difference(301 ^ [], 299 ^ [])), intersection(298 ^ [], difference(301 ^ [], 299 ^ []))), 298 ^ [], 137 ^ [intersection(300 ^ [], difference(301 ^ [], 300 ^ [])), intersection(298 ^ [], difference(301 ^ [], 299 ^ []))]]]))).
% 46.75/45.83  ncf('1.1.1.1.1',plain,[-(member(137 ^ [intersection(300 ^ [], difference(301 ^ [], 300 ^ [])), intersection(298 ^ [], difference(301 ^ [], 299 ^ []))], intersection(intersection(298 ^ [], difference(301 ^ [], 299 ^ [])), intersection(298 ^ [], difference(301 ^ [], 299 ^ []))))), member(137 ^ [intersection(300 ^ [], difference(301 ^ [], 300 ^ [])), intersection(298 ^ [], difference(301 ^ [], 299 ^ []))], intersection(298 ^ [], difference(301 ^ [], 299 ^ []))), member(137 ^ [intersection(300 ^ [], difference(301 ^ [], 300 ^ [])), intersection(298 ^ [], difference(301 ^ [], 299 ^ []))], intersection(298 ^ [], difference(301 ^ [], 299 ^ [])))],extension(183 ^ 10,bind([[_58254, _58256, _58258], [intersection(298 ^ [], difference(301 ^ [], 299 ^ [])), intersection(298 ^ [], difference(301 ^ [], 299 ^ [])), 137 ^ [intersection(300 ^ [], difference(301 ^ [], 300 ^ [])), intersection(298 ^ [], difference(301 ^ [], 299 ^ []))]]]))).
% 46.75/45.83  ncf('1.1.1.1.1.1',plain,[-(member(137 ^ [intersection(300 ^ [], difference(301 ^ [], 300 ^ [])), intersection(298 ^ [], difference(301 ^ [], 299 ^ []))], intersection(298 ^ [], difference(301 ^ [], 299 ^ [])))), -(subset(intersection(298 ^ [], difference(301 ^ [], 299 ^ [])), intersection(300 ^ [], difference(301 ^ [], 300 ^ []))))],extension(136 ^ 11,bind([[_56625, _56627], [intersection(300 ^ [], difference(301 ^ [], 300 ^ [])), intersection(298 ^ [], difference(301 ^ [], 299 ^ []))]]))).
% 46.75/45.83  ncf('1.1.1.1.1.1.1',plain,[subset(intersection(298 ^ [], difference(301 ^ [], 299 ^ [])), intersection(300 ^ [], difference(301 ^ [], 300 ^ [])))],extension(311 ^ 12)).
% 46.75/45.83  ncf('1.1.1.1.1.2',plain,[-(member(137 ^ [intersection(300 ^ [], difference(301 ^ [], 300 ^ [])), intersection(298 ^ [], difference(301 ^ [], 299 ^ []))], intersection(298 ^ [], difference(301 ^ [], 299 ^ [])))), -(subset(intersection(298 ^ [], difference(301 ^ [], 299 ^ [])), intersection(300 ^ [], difference(301 ^ [], 300 ^ []))))],extension(136 ^ 11,bind([[_56625, _56627], [intersection(300 ^ [], difference(301 ^ [], 300 ^ [])), intersection(298 ^ [], difference(301 ^ [], 299 ^ []))]]))).
% 46.75/45.83  ncf('1.1.1.1.1.2.1',plain,[subset(intersection(298 ^ [], difference(301 ^ [], 299 ^ [])), intersection(300 ^ [], difference(301 ^ [], 300 ^ [])))],extension(311 ^ 12)).
% 46.75/45.83  ncf('1.1.1.2',plain,[member(137 ^ [intersection(300 ^ [], difference(301 ^ [], 300 ^ [])), intersection(298 ^ [], difference(301 ^ [], 299 ^ []))], intersection(intersection(298 ^ [], difference(301 ^ [], 299 ^ [])), intersection(298 ^ [], difference(301 ^ [], 299 ^ [])))), 181 : -(member(137 ^ [intersection(300 ^ [], difference(301 ^ [], 300 ^ [])), intersection(298 ^ [], difference(301 ^ [], 299 ^ []))], intersection(298 ^ [], difference(301 ^ [], 299 ^ []))))],extension(175 ^ 7,bind([[_58003, _58005, _58007], [intersection(298 ^ [], difference(301 ^ [], 299 ^ [])), intersection(298 ^ [], difference(301 ^ [], 299 ^ [])), 137 ^ [intersection(300 ^ [], difference(301 ^ [], 300 ^ [])), intersection(298 ^ [], difference(301 ^ [], 299 ^ []))]]]))).
% 46.75/45.83  ncf('1.1.1.2.1',plain,[member(137 ^ [intersection(300 ^ [], difference(301 ^ [], 300 ^ [])), intersection(298 ^ [], difference(301 ^ [], 299 ^ []))], intersection(298 ^ [], difference(301 ^ [], 299 ^ []))), 179 : -(member(137 ^ [intersection(300 ^ [], difference(301 ^ [], 300 ^ [])), intersection(298 ^ [], difference(301 ^ [], 299 ^ []))], 298 ^ []))],extension(175 ^ 10,bind([[_58003, _58005, _58007], [difference(301 ^ [], 299 ^ []), 298 ^ [], 137 ^ [intersection(300 ^ [], difference(301 ^ [], 300 ^ [])), intersection(298 ^ [], difference(301 ^ [], 299 ^ []))]]]))).
% 46.75/45.83  ncf('1.1.1.2.1.1',plain,[member(137 ^ [intersection(300 ^ [], difference(301 ^ [], 300 ^ [])), intersection(298 ^ [], difference(301 ^ [], 299 ^ []))], 298 ^ [])],reduction('1.1')).
% 46.75/45.83  ncf('1.1.2',plain,[member(137 ^ [intersection(300 ^ [], difference(301 ^ [], 300 ^ [])), intersection(298 ^ [], difference(301 ^ [], 299 ^ []))], 299 ^ []), member(137 ^ [intersection(300 ^ [], difference(301 ^ [], 300 ^ [])), intersection(298 ^ [], difference(301 ^ [], 299 ^ []))], difference(301 ^ [], 299 ^ []))],extension(213 ^ 6,bind([[_59302, _59304, _59306], [301 ^ [], 299 ^ [], 137 ^ [intersection(300 ^ [], difference(301 ^ [], 300 ^ [])), intersection(298 ^ [], difference(301 ^ [], 299 ^ []))]]]))).
% 46.75/45.83  ncf('1.1.2.1',plain,[-(member(137 ^ [intersection(300 ^ [], difference(301 ^ [], 300 ^ [])), intersection(298 ^ [], difference(301 ^ [], 299 ^ []))], difference(301 ^ [], 299 ^ []))), member(137 ^ [intersection(300 ^ [], difference(301 ^ [], 300 ^ [])), intersection(298 ^ [], difference(301 ^ [], 299 ^ []))], intersection(298 ^ [], difference(301 ^ [], 299 ^ [])))],extension(175 ^ 7,bind([[_58003, _58005, _58007], [difference(301 ^ [], 299 ^ []), 298 ^ [], 137 ^ [intersection(300 ^ [], difference(301 ^ [], 300 ^ [])), intersection(298 ^ [], difference(301 ^ [], 299 ^ []))]]]))).
% 46.75/45.83  ncf('1.1.2.1.1',plain,[-(member(137 ^ [intersection(300 ^ [], difference(301 ^ [], 300 ^ [])), intersection(298 ^ [], difference(301 ^ [], 299 ^ []))], intersection(298 ^ [], difference(301 ^ [], 299 ^ [])))), -(subset(intersection(298 ^ [], difference(301 ^ [], 299 ^ [])), intersection(300 ^ [], difference(301 ^ [], 300 ^ []))))],extension(136 ^ 8,bind([[_56625, _56627], [intersection(300 ^ [], difference(301 ^ [], 300 ^ [])), intersection(298 ^ [], difference(301 ^ [], 299 ^ []))]]))).
% 46.75/45.83  ncf('1.1.2.1.1.1',plain,[subset(intersection(298 ^ [], difference(301 ^ [], 299 ^ [])), intersection(300 ^ [], difference(301 ^ [], 300 ^ [])))],extension(311 ^ 9)).
% 46.75/45.83  ncf('1.2',plain,[subset(intersection(298 ^ [], difference(301 ^ [], 299 ^ [])), intersection(300 ^ [], difference(301 ^ [], 300 ^ []))), 130 : member(137 ^ [299 ^ [], 298 ^ []], intersection(298 ^ [], difference(301 ^ [], 299 ^ []))), 130 : -(member(137 ^ [299 ^ [], 298 ^ []], intersection(300 ^ [], difference(301 ^ [], 300 ^ []))))],extension(126 ^ 3,bind([[_56311, _56313, _56448], [intersection(300 ^ [], difference(301 ^ [], 300 ^ [])), intersection(298 ^ [], difference(301 ^ [], 299 ^ [])), 137 ^ [299 ^ [], 298 ^ []]]]))).
% 46.75/45.83  ncf('1.2.1',plain,[-(member(137 ^ [299 ^ [], 298 ^ []], intersection(298 ^ [], difference(301 ^ [], 299 ^ [])))), member(137 ^ [299 ^ [], 298 ^ []], 298 ^ []), member(137 ^ [299 ^ [], 298 ^ []], difference(301 ^ [], 299 ^ []))],extension(183 ^ 6,bind([[_58254, _58256, _58258], [difference(301 ^ [], 299 ^ []), 298 ^ [], 137 ^ [299 ^ [], 298 ^ []]]]))).
% 46.75/45.83  ncf('1.2.1.1',plain,[-(member(137 ^ [299 ^ [], 298 ^ []], 298 ^ [])), member(137 ^ [299 ^ [], 298 ^ []], union(298 ^ [], 298 ^ [])), -(member(137 ^ [299 ^ [], 298 ^ []], 298 ^ []))],extension(193 ^ 7,bind([[_58614, _58616, _58618], [298 ^ [], 298 ^ [], 137 ^ [299 ^ [], 298 ^ []]]]))).
% 46.75/45.83  ncf('1.2.1.1.1',plain,[-(member(137 ^ [299 ^ [], 298 ^ []], union(298 ^ [], 298 ^ []))), 207 : member(137 ^ [299 ^ [], 298 ^ []], 298 ^ [])],extension(203 ^ 8,bind([[_58882, _58884, _58886], [298 ^ [], 298 ^ [], 137 ^ [299 ^ [], 298 ^ []]]]))).
% 46.75/45.83  ncf('1.2.1.1.1.1',plain,[-(member(137 ^ [299 ^ [], 298 ^ []], 298 ^ [])), -(subset(298 ^ [], 299 ^ []))],extension(136 ^ 11,bind([[_56625, _56627], [299 ^ [], 298 ^ []]]))).
% 46.75/45.83  ncf('1.2.1.1.1.1.1',plain,[subset(298 ^ [], 299 ^ [])],extension(315 ^ 12)).
% 46.75/45.83  ncf('1.2.1.1.2',plain,[member(137 ^ [299 ^ [], 298 ^ []], 298 ^ [])],reduction('1.2.1')).
% 46.75/45.83  ncf('1.2.1.2',plain,[-(member(137 ^ [299 ^ [], 298 ^ []], difference(301 ^ [], 299 ^ []))), member(137 ^ [299 ^ [], 298 ^ []], 301 ^ []), -(member(137 ^ [299 ^ [], 298 ^ []], 299 ^ []))],extension(221 ^ 7,bind([[_59554, _59556, _59558], [301 ^ [], 299 ^ [], 137 ^ [299 ^ [], 298 ^ []]]]))).
% 46.75/45.83  ncf('1.2.1.2.1',plain,[-(member(137 ^ [299 ^ [], 298 ^ []], 301 ^ [])), 130 : member(137 ^ [299 ^ [], 298 ^ []], 298 ^ []), 130 : subset(298 ^ [], 301 ^ [])],extension(126 ^ 8,bind([[_56311, _56313, _56448], [301 ^ [], 298 ^ [], 137 ^ [299 ^ [], 298 ^ []]]]))).
% 46.75/45.83  ncf('1.2.1.2.1.1',plain,[-(member(137 ^ [299 ^ [], 298 ^ []], 298 ^ [])), -(subset(298 ^ [], 299 ^ []))],extension(136 ^ 11,bind([[_56625, _56627], [299 ^ [], 298 ^ []]]))).
% 46.75/45.83  ncf('1.2.1.2.1.1.1',plain,[subset(298 ^ [], 299 ^ [])],extension(315 ^ 12)).
% 46.75/45.83  ncf('1.2.1.2.1.2',plain,[-(subset(298 ^ [], 301 ^ []))],extension(303 ^ 9)).
% 46.75/45.83  ncf('1.2.1.2.2',plain,[member(137 ^ [299 ^ [], 298 ^ []], 299 ^ []), -(subset(298 ^ [], 299 ^ []))],extension(136 ^ 8,bind([[_56625, _56627], [299 ^ [], 298 ^ []]]))).
% 46.75/45.83  ncf('1.2.1.2.2.1',plain,[subset(298 ^ [], 299 ^ [])],extension(315 ^ 9)).
% 46.75/45.83  ncf('1.2.2',plain,[member(137 ^ [299 ^ [], 298 ^ []], intersection(300 ^ [], difference(301 ^ [], 300 ^ []))), 181 : -(member(137 ^ [299 ^ [], 298 ^ []], difference(301 ^ [], 300 ^ [])))],extension(175 ^ 6,bind([[_58003, _58005, _58007], [difference(301 ^ [], 300 ^ []), 300 ^ [], 137 ^ [299 ^ [], 298 ^ []]]]))).
% 46.75/45.83  ncf('1.2.2.1',plain,[member(137 ^ [299 ^ [], 298 ^ []], difference(301 ^ [], 300 ^ [])), 219 : member(137 ^ [299 ^ [], 298 ^ []], 300 ^ [])],extension(213 ^ 9,bind([[_59302, _59304, _59306], [301 ^ [], 300 ^ [], 137 ^ [299 ^ [], 298 ^ []]]]))).
% 46.75/45.83  ncf('1.2.2.1.1',plain,[-(member(137 ^ [299 ^ [], 298 ^ []], 300 ^ []))],extension(179 ^ 12)).
% 46.75/45.83  %-----------------------------------------------------
% 46.75/45.83  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------