TSTP Solution File: SET169+4 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET169+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n032.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 11:55:31 EDT 2023
% Result : Theorem 59.41s 58.82s
% Output : Proof 59.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08 % Problem : SET169+4 : TPTP v8.1.2. Released v2.2.0.
% 0.04/0.08 % Command : nanocop.sh %s %d
% 0.08/0.27 % Computer : n032.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 300
% 0.08/0.27 % DateTime : Thu May 18 18:54:19 EDT 2023
% 0.08/0.27 % CPUTime :
% 59.41/58.82
% 59.41/58.82 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 59.41/58.82 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 59.41/58.82 %-----------------------------------------------------
% 59.41/58.82 ncf(matrix, plain, [(302 ^ _60484) ^ [] : [equal_set(intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ [])))], !, (183 ^ _49917) ^ [_56273, _56275, _56277] : [-(member(_56277, intersection(_56275, _56273))), member(_56277, _56275), member(_56277, _56273)], (221 ^ _49917) ^ [_57573, _57575, _57577] : [-(member(_57577, difference(_57573, _57575))), member(_57577, _57573), -(member(_57577, _57575))], (243 ^ _49917) ^ [_58347, _58349, _58351] : [member(_58351, unordered_pair(_58349, _58347)), -(_58351 = _58349), -(_58351 = _58347)], (78 ^ _49917) ^ [_52564, _52566] : [_52566 = _52564, -(singleton(_52566) = singleton(_52564))], (203 ^ _49917) ^ [_56901, _56903, _56905] : [204 ^ _49917 : [(207 ^ _49917) ^ [] : [member(_56905, _56901)], (205 ^ _49917) ^ [] : [member(_56905, _56903)]], -(member(_56905, union(_56903, _56901)))], (237 ^ _49917) ^ [_58088, _58090] : [_58090 = _58088, -(member(_58090, singleton(_58088)))], (4 ^ _49917) ^ [_50148, _50150] : [_50150 = _50148, -(_50148 = _50150)], (193 ^ _49917) ^ [_56633, _56635, _56637] : [member(_56637, union(_56635, _56633)), -(member(_56637, _56635)), -(member(_56637, _56633))], (2 ^ _49917) ^ [_50041] : [-(_50041 = _50041)], (116 ^ _49917) ^ [_53944, _53946, _53948, _53950] : [-(intersection(_53950, _53946) = intersection(_53948, _53944)), _53950 = _53948, _53946 = _53944], (100 ^ _49917) ^ [_53359, _53361] : [_53361 = _53359, -(product(_53361) = product(_53359))], (126 ^ _49917) ^ [_54330, _54332] : [subset(_54332, _54330), 129 ^ _49917 : [(130 ^ _49917) ^ [_54467] : [member(_54467, _54332), -(member(_54467, _54330))]]], (62 ^ _49917) ^ [_51987, _51989] : [_51989 = _51987, -(power_set(_51989) = power_set(_51987))], (136 ^ _49917) ^ [_54644, _54646] : [138 ^ _49917 : [(141 ^ _49917) ^ [] : [member(137 ^ [_54644, _54646], _54644)], (139 ^ _49917) ^ [] : [-(member(137 ^ [_54644, _54646], _54646))]], -(subset(_54646, _54644))], (169 ^ _49917) ^ [_55763, _55765] : [subset(_55765, _55763), -(member(_55765, power_set(_55763)))], (253 ^ _49917) ^ [_58615, _58617, _58619] : [254 ^ _49917 : [(257 ^ _49917) ^ [] : [_58619 = _58615], (255 ^ _49917) ^ [] : [_58619 = _58617]], -(member(_58619, unordered_pair(_58617, _58615)))], (270 ^ _49917) ^ [_59255, _59257] : [-(member(_59257, sum(_59255))), 271 ^ _49917 : [(272 ^ _49917) ^ [_59349] : [member(_59349, _59255), member(_59257, _59349)]]], (68 ^ _49917) ^ [_52233, _52235, _52237, _52239] : [-(difference(_52239, _52235) = difference(_52237, _52233)), _52239 = _52237, _52235 = _52233], (280 ^ _49917) ^ [_59632, _59634] : [member(_59634, product(_59632)), 283 ^ _49917 : [(284 ^ _49917) ^ [_59773] : [member(_59773, _59632), -(member(_59634, _59773))]]], (20 ^ _49917) ^ [_50693, _50695, _50697, _50699] : [-(subset(_50697, _50693)), subset(_50699, _50695), _50699 = _50697, _50695 = _50693], (153 ^ _49917) ^ [_55267, _55269] : [-(equal_set(_55269, _55267)), subset(_55269, _55267), subset(_55267, _55269)], (211 ^ _49917) ^ [_57171] : [member(_57171, empty_set)], (84 ^ _49917) ^ [_52810, _52812, _52814, _52816] : [-(unordered_pair(_52816, _52812) = unordered_pair(_52814, _52810)), _52816 = _52814, _52812 = _52810], (145 ^ _49917) ^ [_55030, _55032] : [equal_set(_55032, _55030), 148 ^ _49917 : [(151 ^ _49917) ^ [] : [-(subset(_55030, _55032))], (149 ^ _49917) ^ [] : [-(subset(_55032, _55030))]]], (261 ^ _49917) ^ [_58944, _58946] : [member(_58946, sum(_58944)), 265 ^ _49917 : [(268 ^ _49917) ^ [] : [-(member(_58946, 264 ^ [_58944, _58946]))], (266 ^ _49917) ^ [] : [-(member(264 ^ [_58944, _58946], _58944))]]], (94 ^ _49917) ^ [_53141, _53143] : [_53143 = _53141, -(sum(_53143) = sum(_53141))], (290 ^ _49917) ^ [_59950, _59952] : [292 ^ _49917 : [(295 ^ _49917) ^ [] : [member(_59952, 291 ^ [_59950, _59952])], (293 ^ _49917) ^ [] : [-(member(291 ^ [_59950, _59952], _59950))]], -(member(_59952, product(_59950)))], (163 ^ _49917) ^ [_55597, _55599] : [member(_55599, power_set(_55597)), -(subset(_55599, _55597))], (48 ^ _49917) ^ [_51561, _51563, _51565, _51567] : [-(equal_set(_51565, _51561)), equal_set(_51567, _51563), _51567 = _51565, _51563 = _51561], (34 ^ _49917) ^ [_51137, _51139, _51141, _51143] : [-(member(_51141, _51137)), member(_51143, _51139), _51143 = _51141, _51139 = _51137], (175 ^ _49917) ^ [_56022, _56024, _56026] : [member(_56026, intersection(_56024, _56022)), 178 ^ _49917 : [(181 ^ _49917) ^ [] : [-(member(_56026, _56022))], (179 ^ _49917) ^ [] : [-(member(_56026, _56024))]]], (10 ^ _49917) ^ [_50352, _50354, _50356] : [-(_50356 = _50352), _50356 = _50354, _50354 = _50352], (106 ^ _49917) ^ [_53605, _53607, _53609, _53611] : [-(union(_53611, _53607) = union(_53609, _53605)), _53611 = _53609, _53607 = _53605], (231 ^ _49917) ^ [_57922, _57924] : [member(_57924, singleton(_57922)), -(_57924 = _57922)], (213 ^ _49917) ^ [_57321, _57323, _57325] : [member(_57325, difference(_57321, _57323)), 216 ^ _49917 : [(219 ^ _49917) ^ [] : [member(_57325, _57323)], (217 ^ _49917) ^ [] : [-(member(_57325, _57321))]]]], input).
% 59.41/58.82 ncf('1',plain,[equal_set(intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ [])))],start(302 ^ 0)).
% 59.41/58.82 ncf('1.1',plain,[-(equal_set(intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ [])))), subset(intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))), subset(union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ [])), intersection(298 ^ [], union(299 ^ [], 300 ^ [])))],extension(153 ^ 1,bind([[_55267, _55269], [union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ [])), intersection(298 ^ [], union(299 ^ [], 300 ^ []))]]))).
% 59.41/58.82 ncf('1.1.1',plain,[-(subset(intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ [])))), 139 : -(member(137 ^ [union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ [])), intersection(298 ^ [], union(299 ^ [], 300 ^ []))], intersection(298 ^ [], union(299 ^ [], 300 ^ []))))],extension(136 ^ 2,bind([[_54644, _54646], [union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ [])), intersection(298 ^ [], union(299 ^ [], 300 ^ []))]]))).
% 59.41/58.82 ncf('1.1.1.1',plain,[member(137 ^ [union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ [])), intersection(298 ^ [], union(299 ^ [], 300 ^ []))], intersection(298 ^ [], union(299 ^ [], 300 ^ []))), 181 : -(member(137 ^ [union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ [])), intersection(298 ^ [], union(299 ^ [], 300 ^ []))], union(299 ^ [], 300 ^ [])))],extension(175 ^ 5,bind([[_56022, _56024, _56026], [union(299 ^ [], 300 ^ []), 298 ^ [], 137 ^ [union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ [])), intersection(298 ^ [], union(299 ^ [], 300 ^ []))]]]))).
% 59.41/58.82 ncf('1.1.1.1.1',plain,[member(137 ^ [union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ [])), intersection(298 ^ [], union(299 ^ [], 300 ^ []))], union(299 ^ [], 300 ^ [])), -(member(137 ^ [union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ [])), intersection(298 ^ [], union(299 ^ [], 300 ^ []))], 299 ^ [])), -(member(137 ^ [union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ [])), intersection(298 ^ [], union(299 ^ [], 300 ^ []))], 300 ^ []))],extension(193 ^ 8,bind([[_56633, _56635, _56637], [300 ^ [], 299 ^ [], 137 ^ [union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ [])), intersection(298 ^ [], union(299 ^ [], 300 ^ []))]]]))).
% 59.41/58.82 ncf('1.1.1.1.1.1',plain,[member(137 ^ [union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ [])), intersection(298 ^ [], union(299 ^ [], 300 ^ []))], 299 ^ []), -(member(137 ^ [union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ [])), intersection(298 ^ [], union(299 ^ [], 300 ^ []))], intersection(298 ^ [], 299 ^ []))), member(137 ^ [union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ [])), intersection(298 ^ [], union(299 ^ [], 300 ^ []))], 298 ^ [])],extension(183 ^ 9,bind([[_56273, _56275, _56277], [299 ^ [], 298 ^ [], 137 ^ [union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ [])), intersection(298 ^ [], union(299 ^ [], 300 ^ []))]]]))).
% 59.41/58.82 ncf('1.1.1.1.1.1.1',plain,[member(137 ^ [union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ [])), intersection(298 ^ [], union(299 ^ [], 300 ^ []))], intersection(298 ^ [], 299 ^ [])), -(member(137 ^ [union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ [])), intersection(298 ^ [], union(299 ^ [], 300 ^ []))], union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))))],extension(203 ^ 10,bind([[_56901, _56903, _56905], [intersection(298 ^ [], 300 ^ []), intersection(298 ^ [], 299 ^ []), 137 ^ [union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ [])), intersection(298 ^ [], union(299 ^ [], 300 ^ []))]]]))).
% 59.41/58.82 ncf('1.1.1.1.1.1.1.1',plain,[member(137 ^ [union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ [])), intersection(298 ^ [], union(299 ^ [], 300 ^ []))], union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ [])))],extension(141 ^ 11)).
% 59.41/58.82 ncf('1.1.1.1.1.1.2',plain,[-(member(137 ^ [union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ [])), intersection(298 ^ [], union(299 ^ [], 300 ^ []))], 298 ^ []))],extension(179 ^ 10)).
% 59.41/58.82 ncf('1.1.1.1.1.2',plain,[member(137 ^ [union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ [])), intersection(298 ^ [], union(299 ^ [], 300 ^ []))], 300 ^ []), -(member(137 ^ [union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ [])), intersection(298 ^ [], union(299 ^ [], 300 ^ []))], intersection(298 ^ [], 300 ^ []))), member(137 ^ [union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ [])), intersection(298 ^ [], union(299 ^ [], 300 ^ []))], 298 ^ [])],extension(183 ^ 9,bind([[_56273, _56275, _56277], [300 ^ [], 298 ^ [], 137 ^ [union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ [])), intersection(298 ^ [], union(299 ^ [], 300 ^ []))]]]))).
% 59.41/58.82 ncf('1.1.1.1.1.2.1',plain,[member(137 ^ [union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ [])), intersection(298 ^ [], union(299 ^ [], 300 ^ []))], intersection(298 ^ [], 300 ^ [])), -(member(137 ^ [union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ [])), intersection(298 ^ [], union(299 ^ [], 300 ^ []))], union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))))],extension(203 ^ 10,bind([[_56901, _56903, _56905], [intersection(298 ^ [], 300 ^ []), intersection(298 ^ [], 299 ^ []), 137 ^ [union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ [])), intersection(298 ^ [], union(299 ^ [], 300 ^ []))]]]))).
% 59.41/58.82 ncf('1.1.1.1.1.2.1.1',plain,[member(137 ^ [union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ [])), intersection(298 ^ [], union(299 ^ [], 300 ^ []))], union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ [])))],extension(141 ^ 11)).
% 59.41/58.82 ncf('1.1.1.1.1.2.2',plain,[-(member(137 ^ [union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ [])), intersection(298 ^ [], union(299 ^ [], 300 ^ []))], 298 ^ []))],extension(179 ^ 10)).
% 59.41/58.82 ncf('1.1.2',plain,[-(subset(union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ [])), intersection(298 ^ [], union(299 ^ [], 300 ^ [])))), 139 : -(member(137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))], union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))))],extension(136 ^ 2,bind([[_54644, _54646], [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))]]))).
% 59.41/58.82 ncf('1.1.2.1',plain,[member(137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))], union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))), -(member(137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))], intersection(298 ^ [], 299 ^ []))), -(member(137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))], intersection(298 ^ [], 300 ^ [])))],extension(193 ^ 5,bind([[_56633, _56635, _56637], [intersection(298 ^ [], 300 ^ []), intersection(298 ^ [], 299 ^ []), 137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))]]]))).
% 59.41/58.82 ncf('1.1.2.1.1',plain,[member(137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))], intersection(298 ^ [], 299 ^ [])), -(member(137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))], intersection(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], union(299 ^ [], 300 ^ []))))), member(137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))], intersection(298 ^ [], union(299 ^ [], 300 ^ [])))],extension(183 ^ 6,bind([[_56273, _56275, _56277], [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), intersection(298 ^ [], 299 ^ []), 137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))]]]))).
% 59.41/58.82 ncf('1.1.2.1.1.1',plain,[member(137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))], intersection(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], union(299 ^ [], 300 ^ [])))), -(member(137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))], intersection(intersection(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], union(299 ^ [], 300 ^ []))), intersection(298 ^ [], union(299 ^ [], 300 ^ []))))), member(137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))], intersection(298 ^ [], union(299 ^ [], 300 ^ [])))],extension(183 ^ 7,bind([[_56273, _56275, _56277], [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], union(299 ^ [], 300 ^ []))), 137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))]]]))).
% 59.41/58.82 ncf('1.1.2.1.1.1.1',plain,[member(137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))], intersection(intersection(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], union(299 ^ [], 300 ^ []))), intersection(298 ^ [], union(299 ^ [], 300 ^ [])))), 181 : -(member(137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))], intersection(298 ^ [], union(299 ^ [], 300 ^ []))))],extension(175 ^ 8,bind([[_56022, _56024, _56026], [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], union(299 ^ [], 300 ^ []))), 137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))]]]))).
% 59.41/58.82 ncf('1.1.2.1.1.1.1.1',plain,[member(137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))], intersection(298 ^ [], union(299 ^ [], 300 ^ [])))],extension(141 ^ 11)).
% 59.41/58.82 ncf('1.1.2.1.1.1.2',plain,[-(member(137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))], intersection(298 ^ [], union(299 ^ [], 300 ^ [])))), member(137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))], intersection(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], union(299 ^ [], 300 ^ []))))],extension(175 ^ 8,bind([[_56022, _56024, _56026], [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), intersection(298 ^ [], 299 ^ []), 137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))]]]))).
% 59.41/58.82 ncf('1.1.2.1.1.1.2.1',plain,[-(member(137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))], intersection(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], union(299 ^ [], 300 ^ [])))))],reduction('1.1.2.1.1')).
% 59.41/58.82 ncf('1.1.2.1.1.2',plain,[-(member(137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))], intersection(298 ^ [], union(299 ^ [], 300 ^ [])))), member(137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))], 298 ^ []), member(137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))], union(299 ^ [], 300 ^ []))],extension(183 ^ 7,bind([[_56273, _56275, _56277], [union(299 ^ [], 300 ^ []), 298 ^ [], 137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))]]]))).
% 59.41/58.82 ncf('1.1.2.1.1.2.1',plain,[-(member(137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))], 298 ^ [])), member(137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))], intersection(298 ^ [], 299 ^ []))],extension(175 ^ 8,bind([[_56022, _56024, _56026], [299 ^ [], 298 ^ [], 137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))]]]))).
% 59.41/58.82 ncf('1.1.2.1.1.2.1.1',plain,[-(member(137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))], intersection(298 ^ [], 299 ^ [])))],reduction('1.1.2.1')).
% 59.41/58.82 ncf('1.1.2.1.1.2.2',plain,[-(member(137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))], union(299 ^ [], 300 ^ []))), 205 : member(137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))], 299 ^ [])],extension(203 ^ 8,bind([[_56901, _56903, _56905], [300 ^ [], 299 ^ [], 137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))]]]))).
% 59.41/58.82 ncf('1.1.2.1.1.2.2.1',plain,[-(member(137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))], 299 ^ [])), member(137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))], intersection(298 ^ [], 299 ^ []))],extension(175 ^ 11,bind([[_56022, _56024, _56026], [299 ^ [], 298 ^ [], 137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))]]]))).
% 59.41/58.82 ncf('1.1.2.1.1.2.2.1.1',plain,[-(member(137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))], intersection(298 ^ [], 299 ^ [])))],reduction('1.1.2.1')).
% 59.41/58.82 ncf('1.1.2.1.2',plain,[member(137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))], intersection(298 ^ [], 300 ^ [])), -(member(137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))], intersection(intersection(298 ^ [], 300 ^ []), intersection(298 ^ [], union(299 ^ [], 300 ^ []))))), member(137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))], intersection(298 ^ [], union(299 ^ [], 300 ^ [])))],extension(183 ^ 6,bind([[_56273, _56275, _56277], [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), intersection(298 ^ [], 300 ^ []), 137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))]]]))).
% 59.41/58.82 ncf('1.1.2.1.2.1',plain,[member(137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))], intersection(intersection(298 ^ [], 300 ^ []), intersection(298 ^ [], union(299 ^ [], 300 ^ [])))), -(member(137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))], intersection(intersection(intersection(298 ^ [], 300 ^ []), intersection(298 ^ [], union(299 ^ [], 300 ^ []))), intersection(298 ^ [], union(299 ^ [], 300 ^ []))))), member(137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))], intersection(298 ^ [], union(299 ^ [], 300 ^ [])))],extension(183 ^ 7,bind([[_56273, _56275, _56277], [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 300 ^ []), intersection(298 ^ [], union(299 ^ [], 300 ^ []))), 137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))]]]))).
% 59.41/58.82 ncf('1.1.2.1.2.1.1',plain,[member(137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))], intersection(intersection(intersection(298 ^ [], 300 ^ []), intersection(298 ^ [], union(299 ^ [], 300 ^ []))), intersection(298 ^ [], union(299 ^ [], 300 ^ [])))), 181 : -(member(137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))], intersection(298 ^ [], union(299 ^ [], 300 ^ []))))],extension(175 ^ 8,bind([[_56022, _56024, _56026], [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 300 ^ []), intersection(298 ^ [], union(299 ^ [], 300 ^ []))), 137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))]]]))).
% 59.41/58.82 ncf('1.1.2.1.2.1.1.1',plain,[member(137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))], intersection(298 ^ [], union(299 ^ [], 300 ^ [])))],extension(141 ^ 11)).
% 59.41/58.82 ncf('1.1.2.1.2.1.2',plain,[-(member(137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))], intersection(298 ^ [], union(299 ^ [], 300 ^ [])))), member(137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))], intersection(intersection(298 ^ [], 300 ^ []), intersection(298 ^ [], union(299 ^ [], 300 ^ []))))],extension(175 ^ 8,bind([[_56022, _56024, _56026], [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), intersection(298 ^ [], 300 ^ []), 137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))]]]))).
% 59.41/58.82 ncf('1.1.2.1.2.1.2.1',plain,[-(member(137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))], intersection(intersection(298 ^ [], 300 ^ []), intersection(298 ^ [], union(299 ^ [], 300 ^ [])))))],reduction('1.1.2.1.2')).
% 59.41/58.82 ncf('1.1.2.1.2.2',plain,[-(member(137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))], intersection(298 ^ [], union(299 ^ [], 300 ^ [])))), member(137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))], 298 ^ []), member(137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))], union(299 ^ [], 300 ^ []))],extension(183 ^ 7,bind([[_56273, _56275, _56277], [union(299 ^ [], 300 ^ []), 298 ^ [], 137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))]]]))).
% 59.41/58.82 ncf('1.1.2.1.2.2.1',plain,[-(member(137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))], 298 ^ [])), member(137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))], intersection(298 ^ [], 300 ^ []))],extension(175 ^ 8,bind([[_56022, _56024, _56026], [300 ^ [], 298 ^ [], 137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))]]]))).
% 59.41/58.82 ncf('1.1.2.1.2.2.1.1',plain,[-(member(137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))], intersection(298 ^ [], 300 ^ [])))],reduction('1.1.2.1')).
% 59.41/58.82 ncf('1.1.2.1.2.2.2',plain,[-(member(137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))], union(299 ^ [], 300 ^ []))), 207 : member(137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))], 300 ^ [])],extension(203 ^ 8,bind([[_56901, _56903, _56905], [300 ^ [], 299 ^ [], 137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))]]]))).
% 59.41/58.82 ncf('1.1.2.1.2.2.2.1',plain,[-(member(137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))], 300 ^ [])), member(137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))], intersection(298 ^ [], 300 ^ []))],extension(175 ^ 11,bind([[_56022, _56024, _56026], [300 ^ [], 298 ^ [], 137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))]]]))).
% 59.41/58.82 ncf('1.1.2.1.2.2.2.1.1',plain,[-(member(137 ^ [intersection(298 ^ [], union(299 ^ [], 300 ^ [])), union(intersection(298 ^ [], 299 ^ []), intersection(298 ^ [], 300 ^ []))], intersection(298 ^ [], 300 ^ [])))],reduction('1.1.2.1')).
% 59.41/58.82 %-----------------------------------------------------
% 59.41/58.82 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------