TSTP Solution File: SEU286+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SEU286+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n011.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 12:03:00 EDT 2023
% Result : Theorem 19.92s 20.07s
% Output : Proof 19.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU286+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.13 % Command : nanocop.sh %s %d
% 0.14/0.34 % Computer : n011.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu May 18 12:50:32 EDT 2023
% 0.14/0.34 % CPUTime :
% 19.92/20.07
% 19.92/20.07 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 19.92/20.07 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.92/20.07 %-----------------------------------------------------
% 19.92/20.07 ncf(matrix, plain, [(367 ^ _91719) ^ [] : [empty(364 ^ [])], (369 ^ _91719) ^ [] : [-(relation(365 ^ []))], (373 ^ _91719) ^ [_106891] : [401 ^ _91719 : [(421 ^ _91719) ^ [] : [in(371 ^ [_106891], _106891)], (402 ^ _91719) ^ [] : [-(in(371 ^ [_106891], cartesian_product2(364 ^ [], 370 ^ [])))], (406 ^ _91719) ^ [] : [-(ordered_pair(403 ^ [_106891], 404 ^ [_106891]) = 371 ^ [_106891])], (408 ^ _91719) ^ [] : [-(in(403 ^ [_106891], 364 ^ []))], (411 ^ _91719) ^ [] : [-(403 ^ [_106891] = 409 ^ [_106891])], (413 ^ _91719) ^ [] : [-(in(404 ^ [_106891], 409 ^ [_106891]))], (415 ^ _91719) ^ [_108721] : [in(_108721, 409 ^ [_106891]), -(in(ordered_pair(404 ^ [_106891], _108721), 365 ^ []))]], 374 ^ _91719 : [(375 ^ _91719) ^ [] : [-(in(371 ^ [_106891], _106891))], (377 ^ _91719) ^ [] : [in(371 ^ [_106891], cartesian_product2(364 ^ [], 370 ^ [])), 380 ^ _91719 : [(381 ^ _91719) ^ [_107299, _107301] : [ordered_pair(_107301, _107299) = 371 ^ [_106891], in(_107301, 364 ^ []), 388 ^ _91719 : [(389 ^ _91719) ^ [_107567] : [_107301 = _107567, in(_107299, _107567), 397 ^ _91719 : [(398 ^ _91719) ^ [] : [-(in(396 ^ [_106891, _107299, _107301, _107567], _107567))], (400 ^ _91719) ^ [] : [in(ordered_pair(_107299, 396 ^ [_106891, _107299, _107301, _107567]), 365 ^ [])]]]]]]]]], (125 ^ _91719) ^ [] : [-(relation(123 ^ []))], (127 ^ _91719) ^ [] : [-(function(123 ^ []))], (129 ^ _91719) ^ [] : [-(one_to_one(123 ^ []))], (132 ^ _91719) ^ [] : [-(relation(130 ^ []))], (134 ^ _91719) ^ [] : [-(function(130 ^ []))], (136 ^ _91719) ^ [] : [-(one_to_one(130 ^ []))], (138 ^ _91719) ^ [] : [-(empty(130 ^ []))], (140 ^ _91719) ^ [] : [-(epsilon_transitive(130 ^ []))], (142 ^ _91719) ^ [] : [-(epsilon_connected(130 ^ []))], (144 ^ _91719) ^ [] : [-(ordinal(130 ^ []))], (147 ^ _91719) ^ [] : [-(relation(145 ^ []))], (149 ^ _91719) ^ [] : [-(function(145 ^ []))], (152 ^ _91719) ^ [] : [-(relation(150 ^ []))], (154 ^ _91719) ^ [] : [-(empty(150 ^ []))], (156 ^ _91719) ^ [] : [-(function(150 ^ []))], (158 ^ _91719) ^ [_96702] : [169 ^ _91719 : [(170 ^ _91719) ^ [] : [-(relation(_96702))], (172 ^ _91719) ^ [] : [-(function(_96702))], (174 ^ _91719) ^ [] : [-(one_to_one(_96702))]], relation(_96702), empty(_96702), function(_96702)], (176 ^ _91719) ^ [_97195] : [ordinal(_97195), 179 ^ _91719 : [(180 ^ _91719) ^ [] : [-(epsilon_transitive(_97195))], (182 ^ _91719) ^ [] : [-(epsilon_connected(_97195))]]], (184 ^ _91719) ^ [_97452] : [-(ordinal(_97452)), epsilon_transitive(_97452), epsilon_connected(_97452)], (195 ^ _91719) ^ [] : [-(epsilon_transitive(193 ^ []))], (197 ^ _91719) ^ [] : [-(epsilon_connected(193 ^ []))], (199 ^ _91719) ^ [] : [-(ordinal(193 ^ []))], (202 ^ _91719) ^ [] : [empty(200 ^ [])], (204 ^ _91719) ^ [] : [-(epsilon_transitive(200 ^ []))], (206 ^ _91719) ^ [] : [-(epsilon_connected(200 ^ []))], (208 ^ _91719) ^ [] : [-(ordinal(200 ^ []))], (210 ^ _91719) ^ [_98214, _98216] : [in(_98216, _98214), in(_98214, _98216)], (216 ^ _91719) ^ [] : [true___, -(true___)], (222 ^ _91719) ^ [] : [true___, -(true___)], (228 ^ _91719) ^ [_98649] : [empty(_98649), -(function(_98649))], (234 ^ _91719) ^ [_98835] : [empty(_98835), 237 ^ _91719 : [(238 ^ _91719) ^ [] : [-(epsilon_transitive(_98835))], (240 ^ _91719) ^ [] : [-(epsilon_connected(_98835))], (242 ^ _91719) ^ [] : [-(ordinal(_98835))]]], (244 ^ _91719) ^ [_99160, _99162] : [empty(ordered_pair(_99162, _99160))], (247 ^ _91719) ^ [] : [-(empty(245 ^ []))], (250 ^ _91719) ^ [] : [empty(248 ^ [])], (252 ^ _91719) ^ [_99430, _99432] : [-(empty(_99432)), relation(_99430), 259 ^ _91719 : [(260 ^ _91719) ^ [_99898] : [264 ^ _91719 : [(303 ^ _91719) ^ [] : [262 ^ [_99430, _99432, _99898] = 263 ^ [_99430, _99432, _99898]], (265 ^ _91719) ^ [] : [-(261 ^ [_99430, _99432, _99898] = 262 ^ [_99430, _99432, _99898])], (269 ^ _91719) ^ [] : [-(ordered_pair(266 ^ [_99430, _99432, _99898], 267 ^ [_99430, _99432, _99898]) = 262 ^ [_99430, _99432, _99898])], (271 ^ _91719) ^ [] : [-(in(266 ^ [_99430, _99432, _99898], _99432))], (274 ^ _91719) ^ [] : [-(266 ^ [_99430, _99432, _99898] = 272 ^ [_99430, _99432, _99898])], (276 ^ _91719) ^ [] : [-(in(267 ^ [_99430, _99432, _99898], 272 ^ [_99430, _99432, _99898]))], (278 ^ _91719) ^ [_101676] : [in(_101676, 272 ^ [_99430, _99432, _99898]), -(in(ordered_pair(267 ^ [_99430, _99432, _99898], _101676), _99430))], (284 ^ _91719) ^ [] : [-(261 ^ [_99430, _99432, _99898] = 263 ^ [_99430, _99432, _99898])], (288 ^ _91719) ^ [] : [-(ordered_pair(285 ^ [_99430, _99432, _99898], 286 ^ [_99430, _99432, _99898]) = 263 ^ [_99430, _99432, _99898])], (290 ^ _91719) ^ [] : [-(in(285 ^ [_99430, _99432, _99898], _99432))], (293 ^ _91719) ^ [] : [-(285 ^ [_99430, _99432, _99898] = 291 ^ [_99430, _99432, _99898])], (295 ^ _91719) ^ [] : [-(in(286 ^ [_99430, _99432, _99898], 291 ^ [_99430, _99432, _99898]))], (297 ^ _91719) ^ [_102695] : [in(_102695, 291 ^ [_99430, _99432, _99898]), -(in(ordered_pair(286 ^ [_99430, _99432, _99898], _102695), _99430))]], 305 ^ _91719 : [(306 ^ _91719) ^ [_103185] : [in(_103185, 304 ^ [_99430, _99432, _99898]), 310 ^ _91719 : [(311 ^ _91719) ^ [] : [-(in(309 ^ [_99430, _99432, _99898, _103185], cartesian_product2(_99432, _99898)))], (313 ^ _91719) ^ [] : [-(309 ^ [_99430, _99432, _99898, _103185] = _103185)], (317 ^ _91719) ^ [] : [-(ordered_pair(314 ^ [_99430, _99432, _99898, _103185], 315 ^ [_99430, _99432, _99898, _103185]) = _103185)], (319 ^ _91719) ^ [] : [-(in(314 ^ [_99430, _99432, _99898, _103185], _99432))], (322 ^ _91719) ^ [] : [-(314 ^ [_99430, _99432, _99898, _103185] = 320 ^ [_99430, _99432, _99898, _103185])], (324 ^ _91719) ^ [] : [-(in(315 ^ [_99430, _99432, _99898, _103185], 320 ^ [_99430, _99432, _99898, _103185]))], (326 ^ _91719) ^ [_104416] : [in(_104416, 320 ^ [_99430, _99432, _99898, _103185]), -(in(ordered_pair(315 ^ [_99430, _99432, _99898, _103185], _104416), _99430))]]], (332 ^ _91719) ^ [_104671] : [-(in(_104671, 304 ^ [_99430, _99432, _99898])), 333 ^ _91719 : [(334 ^ _91719) ^ [_104847] : [in(_104847, cartesian_product2(_99432, _99898)), _104847 = _104671, 341 ^ _91719 : [(342 ^ _91719) ^ [_105166, _105168] : [ordered_pair(_105168, _105166) = _104671, in(_105168, _99432), 349 ^ _91719 : [(350 ^ _91719) ^ [_105464] : [_105168 = _105464, in(_105166, _105464), 358 ^ _91719 : [(359 ^ _91719) ^ [] : [-(in(357 ^ [_99430, _99432, _99898, _104671, _104847, _105166, _105168, _105464], _105464))], (361 ^ _91719) ^ [] : [in(ordered_pair(_105166, 357 ^ [_99430, _99432, _99898, _104671, _104847, _105166, _105168, _105464]), _99430)]]]]]]]]]]]]], (104 ^ _91719) ^ [_95024, _95026, _95028, _95030] : [-(cartesian_product2(_95030, _95026) = cartesian_product2(_95028, _95024)), _95030 = _95028, _95026 = _95024], (114 ^ _91719) ^ [_95363, _95365, _95367, _95369] : [-(ordered_pair(_95369, _95365) = ordered_pair(_95367, _95363)), _95369 = _95367, _95365 = _95363], (2 ^ _91719) ^ [_91863] : [-(_91863 = _91863)], (4 ^ _91719) ^ [_91970, _91972] : [_91972 = _91970, -(_91970 = _91972)], (10 ^ _91719) ^ [_92174, _92176, _92178] : [-(_92178 = _92174), _92178 = _92176, _92176 = _92174], (20 ^ _91719) ^ [_92487, _92489] : [-(one_to_one(_92487)), _92489 = _92487, one_to_one(_92489)], (30 ^ _91719) ^ [_92782, _92784] : [-(function(_92782)), _92784 = _92782, function(_92784)], (40 ^ _91719) ^ [_93077, _93079] : [-(epsilon_transitive(_93077)), _93079 = _93077, epsilon_transitive(_93079)], (50 ^ _91719) ^ [_93372, _93374] : [-(epsilon_connected(_93372)), _93374 = _93372, epsilon_connected(_93374)], (60 ^ _91719) ^ [_93667, _93669] : [-(ordinal(_93667)), _93669 = _93667, ordinal(_93669)], (70 ^ _91719) ^ [_93962, _93964] : [-(empty(_93962)), _93964 = _93962, empty(_93964)], (80 ^ _91719) ^ [_94257, _94259] : [-(relation(_94257)), _94259 = _94257, relation(_94259)], (90 ^ _91719) ^ [_94560, _94562, _94564, _94566] : [-(in(_94564, _94560)), in(_94566, _94562), _94566 = _94564, _94562 = _94560]], input).
% 19.92/20.07 ncf('1',plain,[empty(364 ^ [])],start(367 ^ 0)).
% 19.92/20.07 ncf('1.1',plain,[-(empty(364 ^ [])), relation(365 ^ []), 265 : -(261 ^ [365 ^ [], 364 ^ [], 370 ^ []] = 262 ^ [365 ^ [], 364 ^ [], 370 ^ []]), 306 : in(371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]], 304 ^ [365 ^ [], 364 ^ [], 370 ^ []]), 311 : -(in(309 ^ [365 ^ [], 364 ^ [], 370 ^ [], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]], cartesian_product2(364 ^ [], 370 ^ [])))],extension(252 ^ 1,bind([[_99430, _99432, _99898, _103185], [365 ^ [], 364 ^ [], 370 ^ [], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]]]))).
% 19.92/20.07 ncf('1.1.1',plain,[-(relation(365 ^ []))],extension(369 ^ 2)).
% 19.92/20.07 ncf('1.1.2',plain,[261 ^ [365 ^ [], 364 ^ [], 370 ^ []] = 262 ^ [365 ^ [], 364 ^ [], 370 ^ []], -(262 ^ [365 ^ [], 364 ^ [], 370 ^ []] = 261 ^ [365 ^ [], 364 ^ [], 370 ^ []])],extension(4 ^ 6,bind([[_91970, _91972], [262 ^ [365 ^ [], 364 ^ [], 370 ^ []], 261 ^ [365 ^ [], 364 ^ [], 370 ^ []]]]))).
% 19.92/20.07 ncf('1.1.2.1',plain,[262 ^ [365 ^ [], 364 ^ [], 370 ^ []] = 261 ^ [365 ^ [], 364 ^ [], 370 ^ []], -(262 ^ [365 ^ [], 364 ^ [], 370 ^ []] = 263 ^ [365 ^ [], 364 ^ [], 370 ^ []]), 261 ^ [365 ^ [], 364 ^ [], 370 ^ []] = 263 ^ [365 ^ [], 364 ^ [], 370 ^ []]],extension(10 ^ 7,bind([[_92174, _92176, _92178], [263 ^ [365 ^ [], 364 ^ [], 370 ^ []], 261 ^ [365 ^ [], 364 ^ [], 370 ^ []], 262 ^ [365 ^ [], 364 ^ [], 370 ^ []]]]))).
% 19.92/20.07 ncf('1.1.2.1.1',plain,[262 ^ [365 ^ [], 364 ^ [], 370 ^ []] = 263 ^ [365 ^ [], 364 ^ [], 370 ^ []]],extension(303 ^ 8)).
% 19.92/20.07 ncf('1.1.2.1.2',plain,[-(261 ^ [365 ^ [], 364 ^ [], 370 ^ []] = 263 ^ [365 ^ [], 364 ^ [], 370 ^ []])],extension(284 ^ 8)).
% 19.92/20.07 ncf('1.1.3',plain,[-(in(371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]], 304 ^ [365 ^ [], 364 ^ [], 370 ^ []])), 402 : -(in(371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]], cartesian_product2(364 ^ [], 370 ^ [])))],extension(373 ^ 6,bind([[_106891], [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]]))).
% 19.92/20.07 ncf('1.1.3.1',plain,[in(371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]], cartesian_product2(364 ^ [], 370 ^ [])), 334 : 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]] = 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]], 342 : ordered_pair(403 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]], 404 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]) = 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]], 342 : in(403 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]], 364 ^ []), 350 : 403 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]] = 409 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]], 350 : in(404 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]], 409 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]), 359 : -(in(357 ^ [365 ^ [], 364 ^ [], 370 ^ [], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]], 404 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]], 403 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]], 409 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]], 409 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]])), 334 : -(in(371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]], 304 ^ [365 ^ [], 364 ^ [], 370 ^ []]))],extension(332 ^ 9,bind([[_104671, _104847, _105166, _105168, _105464], [371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]], 404 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]], 403 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]], 409 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]]]))).
% 19.92/20.07 ncf('1.1.3.1.1',plain,[-(371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]] = 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]])],extension(2 ^ 12,bind([[_91863], [371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]]]))).
% 19.92/20.07 ncf('1.1.3.1.2',plain,[-(ordered_pair(403 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]], 404 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]) = 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]])],extension(406 ^ 14)).
% 19.92/20.07 ncf('1.1.3.1.3',plain,[-(in(403 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]], 364 ^ []))],extension(408 ^ 14)).
% 19.92/20.07 ncf('1.1.3.1.4',plain,[-(403 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]] = 409 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]])],extension(411 ^ 16)).
% 19.92/20.07 ncf('1.1.3.1.5',plain,[-(in(404 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]], 409 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]))],extension(413 ^ 16)).
% 19.92/20.07 ncf('1.1.3.1.6',plain,[in(357 ^ [365 ^ [], 364 ^ [], 370 ^ [], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]], 404 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]], 403 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]], 409 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]], 409 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]), -(in(ordered_pair(404 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]], 357 ^ [365 ^ [], 364 ^ [], 370 ^ [], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]], 404 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]], 403 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]], 409 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]]), 365 ^ []))],extension(415 ^ 18,bind([[_108721], [357 ^ [365 ^ [], 364 ^ [], 370 ^ [], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]], 404 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]], 403 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]], 409 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]]]]))).
% 19.92/20.07 ncf('1.1.3.1.6.1',plain,[in(ordered_pair(404 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]], 357 ^ [365 ^ [], 364 ^ [], 370 ^ [], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]], 404 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]], 403 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]], 409 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]]), 365 ^ [])],extension(361 ^ 19)).
% 19.92/20.07 ncf('1.1.3.1.7',plain,[in(371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]], 304 ^ [365 ^ [], 364 ^ [], 370 ^ []])],reduction('1.1')).
% 19.92/20.07 ncf('1.1.4',plain,[in(309 ^ [365 ^ [], 364 ^ [], 370 ^ [], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]], cartesian_product2(364 ^ [], 370 ^ [])), -(in(371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]], cartesian_product2(364 ^ [], 370 ^ []))), 309 ^ [365 ^ [], 364 ^ [], 370 ^ [], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]] = 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]], cartesian_product2(364 ^ [], 370 ^ []) = cartesian_product2(364 ^ [], 370 ^ [])],extension(90 ^ 8,bind([[_94560, _94562, _94564, _94566], [cartesian_product2(364 ^ [], 370 ^ []), cartesian_product2(364 ^ [], 370 ^ []), 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]], 309 ^ [365 ^ [], 364 ^ [], 370 ^ [], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]]]]))).
% 19.92/20.07 ncf('1.1.4.1',plain,[in(371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]], cartesian_product2(364 ^ [], 370 ^ [])), 381 : ordered_pair(314 ^ [365 ^ [], 364 ^ [], 370 ^ [], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]], 315 ^ [365 ^ [], 364 ^ [], 370 ^ [], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]]) = 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]], 381 : in(314 ^ [365 ^ [], 364 ^ [], 370 ^ [], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]], 364 ^ []), 389 : 314 ^ [365 ^ [], 364 ^ [], 370 ^ [], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]] = 320 ^ [365 ^ [], 364 ^ [], 370 ^ [], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]], 389 : in(315 ^ [365 ^ [], 364 ^ [], 370 ^ [], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]], 320 ^ [365 ^ [], 364 ^ [], 370 ^ [], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]]), 398 : -(in(396 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []], 315 ^ [365 ^ [], 364 ^ [], 370 ^ [], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]], 314 ^ [365 ^ [], 364 ^ [], 370 ^ [], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]], 320 ^ [365 ^ [], 364 ^ [], 370 ^ [], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]]], 320 ^ [365 ^ [], 364 ^ [], 370 ^ [], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]])), 421 : in(371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]], 304 ^ [365 ^ [], 364 ^ [], 370 ^ []])],extension(373 ^ 9,bind([[_106891, _107299, _107301, _107567], [304 ^ [365 ^ [], 364 ^ [], 370 ^ []], 315 ^ [365 ^ [], 364 ^ [], 370 ^ [], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]], 314 ^ [365 ^ [], 364 ^ [], 370 ^ [], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]], 320 ^ [365 ^ [], 364 ^ [], 370 ^ [], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]]]]))).
% 19.92/20.07 ncf('1.1.4.1.1',plain,[-(ordered_pair(314 ^ [365 ^ [], 364 ^ [], 370 ^ [], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]], 315 ^ [365 ^ [], 364 ^ [], 370 ^ [], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]]) = 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]])],extension(317 ^ 14)).
% 19.92/20.07 ncf('1.1.4.1.2',plain,[-(in(314 ^ [365 ^ [], 364 ^ [], 370 ^ [], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]], 364 ^ []))],extension(319 ^ 14)).
% 19.92/20.07 ncf('1.1.4.1.3',plain,[-(314 ^ [365 ^ [], 364 ^ [], 370 ^ [], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]] = 320 ^ [365 ^ [], 364 ^ [], 370 ^ [], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]])],extension(322 ^ 16)).
% 19.92/20.07 ncf('1.1.4.1.4',plain,[-(in(315 ^ [365 ^ [], 364 ^ [], 370 ^ [], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]], 320 ^ [365 ^ [], 364 ^ [], 370 ^ [], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]]))],extension(324 ^ 16)).
% 19.92/20.07 ncf('1.1.4.1.5',plain,[in(396 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []], 315 ^ [365 ^ [], 364 ^ [], 370 ^ [], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]], 314 ^ [365 ^ [], 364 ^ [], 370 ^ [], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]], 320 ^ [365 ^ [], 364 ^ [], 370 ^ [], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]]], 320 ^ [365 ^ [], 364 ^ [], 370 ^ [], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]]), -(in(ordered_pair(315 ^ [365 ^ [], 364 ^ [], 370 ^ [], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]], 396 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []], 315 ^ [365 ^ [], 364 ^ [], 370 ^ [], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]], 314 ^ [365 ^ [], 364 ^ [], 370 ^ [], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]], 320 ^ [365 ^ [], 364 ^ [], 370 ^ [], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]]]), 365 ^ []))],extension(326 ^ 18,bind([[_104416], [396 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []], 315 ^ [365 ^ [], 364 ^ [], 370 ^ [], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]], 314 ^ [365 ^ [], 364 ^ [], 370 ^ [], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]], 320 ^ [365 ^ [], 364 ^ [], 370 ^ [], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]]]]]))).
% 19.92/20.07 ncf('1.1.4.1.5.1',plain,[in(ordered_pair(315 ^ [365 ^ [], 364 ^ [], 370 ^ [], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]], 396 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []], 315 ^ [365 ^ [], 364 ^ [], 370 ^ [], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]], 314 ^ [365 ^ [], 364 ^ [], 370 ^ [], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]], 320 ^ [365 ^ [], 364 ^ [], 370 ^ [], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]]]), 365 ^ [])],extension(400 ^ 19)).
% 19.92/20.07 ncf('1.1.4.1.6',plain,[-(in(371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]], 304 ^ [365 ^ [], 364 ^ [], 370 ^ []]))],lemmata('[1].x')).
% 19.92/20.07 ncf('1.1.4.2',plain,[-(309 ^ [365 ^ [], 364 ^ [], 370 ^ [], 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]]] = 371 ^ [304 ^ [365 ^ [], 364 ^ [], 370 ^ []]])],extension(313 ^ 9)).
% 19.92/20.07 ncf('1.1.4.3',plain,[-(cartesian_product2(364 ^ [], 370 ^ []) = cartesian_product2(364 ^ [], 370 ^ [])), 364 ^ [] = 364 ^ [], 370 ^ [] = 370 ^ []],extension(104 ^ 9,bind([[_95024, _95026, _95028, _95030], [370 ^ [], 370 ^ [], 364 ^ [], 364 ^ []]]))).
% 19.92/20.07 ncf('1.1.4.3.1',plain,[-(364 ^ [] = 364 ^ [])],extension(2 ^ 10,bind([[_91863], [364 ^ []]]))).
% 19.92/20.07 ncf('1.1.4.3.2',plain,[-(370 ^ [] = 370 ^ [])],extension(2 ^ 10,bind([[_91863], [370 ^ []]]))).
% 19.92/20.07 %-----------------------------------------------------
% 19.92/20.07 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------