TSTP Solution File: SYN917+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SYN917+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n021.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 12:34:41 EDT 2023
% Result : Theorem 0.39s 1.39s
% Output : Proof 0.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN917+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.13 % Command : nanocop.sh %s %d
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 18 19:28:57 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.39/1.39
% 0.39/1.39 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.39/1.39 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/1.39 %-----------------------------------------------------
% 0.39/1.39 ncf(matrix, plain, [(2 ^ _351333) ^ [] : [3 ^ _351333 : [(4 ^ _351333) ^ [_351462] : [5 ^ _351333 : [(6 ^ _351333) ^ [] : [-(f(_351462))], (8 ^ _351333) ^ [] : [-(g(_351462))], (10 ^ _351333) ^ [] : [h(_351462)]], 12 ^ _351333 : [(13 ^ _351333) ^ [] : [-(f(11 ^ [_351462]))], (15 ^ _351333) ^ [] : [g(11 ^ [_351462])]]], (17 ^ _351333) ^ [] : [18 ^ _351333 : [(19 ^ _351333) ^ [_351935] : [f(_351935), -(g(_351935))]], 24 ^ _351333 : [(25 ^ _351333) ^ [_352101] : [f(_352101), -(h(_352101))]]], (31 ^ _351333) ^ [_352295] : [-(g(_352295)), f(_352295), h(_352295)], (41 ^ _351333) ^ [_352544] : [f(_352544), g(_352544), -(h(_352544))]], 52 ^ _351333 : [(71 ^ _351333) ^ [] : [-(r(68 ^ [], 69 ^ []))], (73 ^ _351333) ^ [] : [r(68 ^ [], 68 ^ [])], (53 ^ _351333) ^ [_352885, _352887] : [r(_352887, _352885), -(r(_352885, _352887))], (59 ^ _351333) ^ [_353089, _353091, _353093] : [-(r(_353093, _353089)), r(_353093, _353091), r(_353091, _353089)]], 127 ^ _351333 : [(134 ^ _351333) ^ [_355137] : [-(p(_355137))], (136 ^ _351333) ^ [_355179] : [q(_355179)], (128 ^ _351333) ^ [_354970] : [p(126 ^ [_354970]), -(q(_354970))]], 141 ^ _351333 : [(142 ^ _351333) ^ [_355351] : [-(p(_355351))], (144 ^ _351333) ^ [_355394] : [-(q(_355394))], (146 ^ _351333) ^ [] : [p(147 ^ []), q(150 ^ [])]], 153 ^ _351333 : [(154 ^ _351333) ^ [_355667] : [-(p(_355667))], (156 ^ _351333) ^ [_355724] : [-(q(_355724))], (159 ^ _351333) ^ [] : [p(157 ^ []), q(157 ^ [])]], 166 ^ _351333 : [(174 ^ _351333) ^ [] : [p(172 ^ [])], (176 ^ _351333) ^ [] : [q(172 ^ [])], (167 ^ _351333) ^ [] : [168 ^ _351333 : [(169 ^ _351333) ^ [_356012] : [-(p(_356012))]], 170 ^ _351333 : [(171 ^ _351333) ^ [_356069] : [-(q(_356069))]]]], 182 ^ _351333 : [(189 ^ _351333) ^ [_356512] : [p(_356512)], (191 ^ _351333) ^ [_356568] : [q(_356568)], (183 ^ _351333) ^ [] : [-(p(181 ^ [])), -(q(181 ^ []))]], 192 ^ _351333 : [(201 ^ _351333) ^ [_356842] : [p(_356842)], (203 ^ _351333) ^ [_356884] : [q(_356884)], (193 ^ _351333) ^ [] : [-(p(194 ^ [])), -(q(197 ^ []))]], 206 ^ _351333 : [(207 ^ _351333) ^ [_357003] : [-(p(_357003))], (210 ^ _351333) ^ [_357083] : [p(208 ^ [_357083])]], 214 ^ _351333 : [(215 ^ _351333) ^ [] : [-(p(213 ^ []))], (217 ^ _351333) ^ [] : [-(q(213 ^ []))], (219 ^ _351333) ^ [] : [220 ^ _351333 : [(221 ^ _351333) ^ [_357355] : [p(_357355)]], 222 ^ _351333 : [(223 ^ _351333) ^ [_357411] : [q(_357411)]]]], 227 ^ _351333 : [(228 ^ _351333) ^ [_357574] : [-(p(_357574))], (230 ^ _351333) ^ [] : [p(226 ^ [])]], 233 ^ _351333 : [(234 ^ _351333) ^ [_357715] : [-(p(_357715))], (236 ^ _351333) ^ [_357771] : [p(_357771)]], 239 ^ _351333 : [(240 ^ _351333) ^ [_357879] : [p(_357879)], (244 ^ _351333) ^ [] : [-(p(242 ^ []))], (246 ^ _351333) ^ [] : [p(241 ^ [])]], 251 ^ _351333 : [(259 ^ _351333) ^ [] : [p(257 ^ [])], (261 ^ _351333) ^ [] : [c], (252 ^ _351333) ^ [_358211] : [-(p(_358211)), -(c)]], 262 ^ _351333 : [(270 ^ _351333) ^ [] : [p(268 ^ [])], (272 ^ _351333) ^ [] : [c], (263 ^ _351333) ^ [] : [264 ^ _351333 : [(265 ^ _351333) ^ [_358532] : [-(p(_358532))]], -(c)]], 278 ^ _351333 : [(279 ^ _351333) ^ [] : [-(p(277 ^ []))], (281 ^ _351333) ^ [] : [-(c)], (283 ^ _351333) ^ [] : [284 ^ _351333 : [(285 ^ _351333) ^ [_359007] : [p(_359007)]], c]], 289 ^ _351333 : [(290 ^ _351333) ^ [] : [-(p(288 ^ []))], (292 ^ _351333) ^ [] : [-(c)], (294 ^ _351333) ^ [_359264] : [p(_359264), c]], 304 ^ _351333 : [(305 ^ _351333) ^ [] : [-(c)], (307 ^ _351333) ^ [] : [c]], 308 ^ _351333 : [(309 ^ _351333) ^ [] : [-(c)], (311 ^ _351333) ^ [_359656] : [c]], 316 ^ _351333 : [(317 ^ _351333) ^ [_359805] : [-(c)], (319 ^ _351333) ^ [] : [c]], 320 ^ _351333 : [(321 ^ _351333) ^ [] : [-(c)], (324 ^ _351333) ^ [] : [c]], 330 ^ _351333 : [(337 ^ _351333) ^ [] : [-(c)], (339 ^ _351333) ^ [_360294] : [p(_360294)], (331 ^ _351333) ^ [] : [c, -(p(329 ^ []))]], 340 ^ _351333 : [(348 ^ _351333) ^ [_360532] : [-(c)], (350 ^ _351333) ^ [_360569] : [p(_360569)], (341 ^ _351333) ^ [] : [c, -(p(344 ^ []))]], 356 ^ _351333 : [(363 ^ _351333) ^ [_360885] : [-(p(_360885))], (365 ^ _351333) ^ [] : [c], (357 ^ _351333) ^ [] : [p(355 ^ []), -(c)]], 366 ^ _351333 : [(374 ^ _351333) ^ [_361155] : [-(p(_361155))], (376 ^ _351333) ^ [_361197] : [c], (367 ^ _351333) ^ [] : [p(368 ^ []), -(c)]], 381 ^ _351333 : [(388 ^ _351333) ^ [] : [-(c)], (391 ^ _351333) ^ [] : [p(389 ^ [])], (382 ^ _351333) ^ [_361365] : [c, -(p(_361365))]], 392 ^ _351333 : [(400 ^ _351333) ^ [] : [-(c)], (402 ^ _351333) ^ [] : [p(398 ^ [])], (393 ^ _351333) ^ [] : [c, 396 ^ _351333 : [(397 ^ _351333) ^ [_361721] : [-(p(_361721))]]]], 405 ^ _351333 : [(413 ^ _351333) ^ [] : [-(p(411 ^ []))], (415 ^ _351333) ^ [] : [c], (406 ^ _351333) ^ [_361993] : [p(_361993), -(c)]], 416 ^ _351333 : [(424 ^ _351333) ^ [] : [-(p(422 ^ []))], (426 ^ _351333) ^ [] : [c], (417 ^ _351333) ^ [] : [418 ^ _351333 : [(419 ^ _351333) ^ [_362313] : [p(_362313)]], -(c)]], 76 ^ _351333 : [(77 ^ _351333) ^ [] : [79 ^ _351333 : [(80 ^ _351333) ^ [] : [-(f(78 ^ []))], (82 ^ _351333) ^ [] : [-(g(78 ^ []))], (84 ^ _351333) ^ [] : [h(78 ^ [])]], 86 ^ _351333 : [(87 ^ _351333) ^ [] : [-(f(85 ^ []))], (89 ^ _351333) ^ [] : [g(85 ^ [])]]], (91 ^ _351333) ^ [] : [92 ^ _351333 : [(93 ^ _351333) ^ [_354001] : [f(_354001), -(g(_354001))]], 98 ^ _351333 : [(99 ^ _351333) ^ [_354167] : [f(_354167), -(h(_354167))]]], (105 ^ _351333) ^ [_354361] : [-(g(_354361)), f(_354361), h(_354361)], (115 ^ _351333) ^ [_354610] : [f(_354610), g(_354610), -(h(_354610))]]]], input).
% 0.39/1.39 ncf('1',plain,[10 : h(_15415), 15 : g(11 ^ [_15415]), 73 : r(68 ^ [], 68 ^ []), 136 : q(_19132), 146 : p(147 ^ []), 146 : q(150 ^ []), 159 : p(157 ^ []), 159 : q(157 ^ []), 174 : p(172 ^ []), 189 : p(181 ^ []), 201 : p(194 ^ []), 210 : p(208 ^ [_21036]), 221 : p(213 ^ []), 223 : q(213 ^ []), 230 : p(226 ^ []), 236 : p(_21724), 240 : p(242 ^ []), 259 : p(257 ^ []), 270 : p(268 ^ []), 285 : p(277 ^ []), 285 : c, 294 : p(288 ^ []), 294 : c, 307 : c, 311 : c, 319 : c, 324 : c, 339 : p(329 ^ []), 350 : p(344 ^ []), 365 : c, 376 : c, 391 : p(389 ^ []), 402 : p(398 ^ []), 415 : c, 426 : c, 84 : h(78 ^ []), 89 : g(85 ^ [])],start(2 ^ 0,bind([[_351462, _355179, _356512, _356842, _357083, _357355, _357411, _357771, _357879, _359007, _359264, _359656, _360294, _360569, _361197], [_15415, _19132, 181 ^ [], 194 ^ [], _21036, 213 ^ [], 213 ^ [], _21724, 242 ^ [], 277 ^ [], 288 ^ [], _23609, 329 ^ [], 344 ^ [], _25150]]))).
% 0.39/1.39 ncf('1.1',plain,[-(h(_15415)), 25 : f(_15415), 19 : f(_15415), 19 : -(g(_15415))],extension(17 ^ 5,bind([[_352101, _351935], [_15415, _15415]]))).
% 0.39/1.39 ncf('1.1.1',plain,[-(f(_15415))],extension(6 ^ 8)).
% 0.39/1.39 ncf('1.1.2',plain,[-(f(_15415))],extension(6 ^ 8)).
% 0.39/1.39 ncf('1.1.3',plain,[g(_15415), f(_15415), -(h(_15415))],extension(41 ^ 8,bind([[_352544], [_15415]]))).
% 0.39/1.39 ncf('1.1.3.1',plain,[-(f(_15415))],lemmata('[1].x')).
% 0.39/1.39 ncf('1.1.3.2',plain,[h(_15415)],reduction('1')).
% 0.39/1.39 ncf('1.2',plain,[-(g(11 ^ [_15415])), 19 : f(11 ^ [_15415]), 25 : f(11 ^ [_15415]), 25 : -(h(11 ^ [_15415]))],extension(17 ^ 5,bind([[_351935, _352101], [11 ^ [_15415], 11 ^ [_15415]]]))).
% 0.39/1.39 ncf('1.2.1',plain,[-(f(11 ^ [_15415]))],extension(13 ^ 8)).
% 0.39/1.39 ncf('1.2.2',plain,[-(f(11 ^ [_15415]))],extension(13 ^ 8)).
% 0.39/1.39 ncf('1.2.3',plain,[h(11 ^ [_15415]), -(g(11 ^ [_15415])), f(11 ^ [_15415])],extension(31 ^ 8,bind([[_352295], [11 ^ [_15415]]]))).
% 0.39/1.39 ncf('1.2.3.1',plain,[g(11 ^ [_15415])],reduction('1')).
% 0.39/1.39 ncf('1.2.3.2',plain,[-(f(11 ^ [_15415]))],lemmata('[1].x')).
% 0.39/1.39 ncf('1.3',plain,[-(r(68 ^ [], 68 ^ [])), r(68 ^ [], 69 ^ []), r(69 ^ [], 68 ^ [])],extension(59 ^ 3,bind([[_353089, _353091, _353093], [68 ^ [], 69 ^ [], 68 ^ []]]))).
% 0.39/1.39 ncf('1.3.1',plain,[-(r(68 ^ [], 69 ^ []))],extension(71 ^ 4)).
% 0.39/1.39 ncf('1.3.2',plain,[-(r(69 ^ [], 68 ^ [])), r(68 ^ [], 69 ^ [])],extension(53 ^ 4,bind([[_352885, _352887], [69 ^ [], 68 ^ []]]))).
% 0.39/1.39 ncf('1.3.2.1',plain,[-(r(68 ^ [], 69 ^ []))],lemmata('[1].x')).
% 0.39/1.39 ncf('1.4',plain,[-(q(_19132)), p(126 ^ [_19132])],extension(128 ^ 3,bind([[_354970], [_19132]]))).
% 0.39/1.39 ncf('1.4.1',plain,[-(p(126 ^ [_19132]))],extension(134 ^ 4,bind([[_355137], [126 ^ [_19132]]]))).
% 0.39/1.39 ncf('1.5',plain,[-(p(147 ^ []))],extension(142 ^ 3,bind([[_355351], [147 ^ []]]))).
% 0.39/1.39 ncf('1.6',plain,[-(q(150 ^ []))],extension(144 ^ 3,bind([[_355394], [150 ^ []]]))).
% 0.39/1.39 ncf('1.7',plain,[-(p(157 ^ []))],extension(154 ^ 3,bind([[_355667], [157 ^ []]]))).
% 0.39/1.39 ncf('1.8',plain,[-(q(157 ^ []))],extension(156 ^ 3,bind([[_355724], [157 ^ []]]))).
% 0.39/1.39 ncf('1.9',plain,[-(p(172 ^ [])), 171 : -(q(172 ^ []))],extension(167 ^ 3,bind([[_356012, _356069], [172 ^ [], 172 ^ []]]))).
% 0.39/1.39 ncf('1.9.1',plain,[q(172 ^ [])],extension(176 ^ 6)).
% 0.39/1.39 ncf('1.10',plain,[-(p(181 ^ [])), -(q(181 ^ []))],extension(183 ^ 3)).
% 0.39/1.39 ncf('1.10.1',plain,[q(181 ^ [])],extension(191 ^ 4,bind([[_356568], [181 ^ []]]))).
% 0.39/1.39 ncf('1.11',plain,[-(p(194 ^ [])), -(q(197 ^ []))],extension(193 ^ 3)).
% 0.39/1.39 ncf('1.11.1',plain,[q(197 ^ [])],extension(203 ^ 4,bind([[_356884], [197 ^ []]]))).
% 0.39/1.39 ncf('1.12',plain,[-(p(208 ^ [_21036]))],extension(207 ^ 3,bind([[_357003], [208 ^ [_21036]]]))).
% 0.39/1.39 ncf('1.13',plain,[-(p(213 ^ []))],extension(215 ^ 5)).
% 0.39/1.39 ncf('1.14',plain,[-(q(213 ^ []))],extension(217 ^ 5)).
% 0.39/1.39 ncf('1.15',plain,[-(p(226 ^ []))],extension(228 ^ 3,bind([[_357574], [226 ^ []]]))).
% 0.39/1.39 ncf('1.16',plain,[-(p(_21724))],extension(234 ^ 3,bind([[_357715], [_21724]]))).
% 0.39/1.39 ncf('1.17',plain,[-(p(242 ^ []))],extension(244 ^ 3)).
% 0.39/1.39 ncf('1.18',plain,[-(p(257 ^ [])), -(c)],extension(252 ^ 3,bind([[_358211], [257 ^ []]]))).
% 0.39/1.39 ncf('1.18.1',plain,[c],extension(261 ^ 4)).
% 0.39/1.39 ncf('1.19',plain,[-(p(268 ^ [])), -(c)],extension(263 ^ 3,bind([[_358532], [268 ^ []]]))).
% 0.39/1.39 ncf('1.19.1',plain,[c],extension(272 ^ 4)).
% 0.39/1.39 ncf('1.20',plain,[-(p(277 ^ []))],extension(279 ^ 5)).
% 0.39/1.39 ncf('1.21',plain,[-(c)],extension(281 ^ 3)).
% 0.39/1.39 ncf('1.22',plain,[-(p(288 ^ []))],extension(290 ^ 3)).
% 0.39/1.39 ncf('1.23',plain,[-(c)],extension(292 ^ 3)).
% 0.39/1.39 ncf('1.24',plain,[-(c)],extension(305 ^ 3)).
% 0.39/1.39 ncf('1.25',plain,[-(c)],extension(309 ^ 3)).
% 0.39/1.39 ncf('1.26',plain,[-(c)],extension(317 ^ 3,bind([[_359805], [_215963]]))).
% 0.39/1.39 ncf('1.27',plain,[-(c)],extension(321 ^ 3)).
% 0.39/1.39 ncf('1.28',plain,[-(p(329 ^ [])), c],extension(331 ^ 3)).
% 0.39/1.39 ncf('1.28.1',plain,[-(c)],extension(337 ^ 4)).
% 0.39/1.39 ncf('1.29',plain,[-(p(344 ^ [])), c],extension(341 ^ 3)).
% 0.39/1.39 ncf('1.29.1',plain,[-(c)],extension(348 ^ 4,bind([[_360532], [_240580]]))).
% 0.39/1.39 ncf('1.30',plain,[-(c), p(355 ^ [])],extension(357 ^ 3)).
% 0.39/1.39 ncf('1.30.1',plain,[-(p(355 ^ []))],extension(363 ^ 4,bind([[_360885], [355 ^ []]]))).
% 0.39/1.39 ncf('1.31',plain,[-(c), p(368 ^ [])],extension(367 ^ 3)).
% 0.39/1.39 ncf('1.31.1',plain,[-(p(368 ^ []))],extension(374 ^ 4,bind([[_361155], [368 ^ []]]))).
% 0.39/1.39 ncf('1.32',plain,[-(p(389 ^ [])), c],extension(382 ^ 3,bind([[_361365], [389 ^ []]]))).
% 0.39/1.39 ncf('1.32.1',plain,[-(c)],extension(388 ^ 4)).
% 0.39/1.39 ncf('1.33',plain,[-(p(398 ^ [])), c],extension(393 ^ 3,bind([[_361721], [398 ^ []]]))).
% 0.39/1.39 ncf('1.33.1',plain,[-(c)],extension(400 ^ 4)).
% 0.39/1.39 ncf('1.34',plain,[-(c), p(411 ^ [])],extension(406 ^ 3,bind([[_361993], [411 ^ []]]))).
% 0.39/1.39 ncf('1.34.1',plain,[-(p(411 ^ []))],extension(413 ^ 4)).
% 0.39/1.39 ncf('1.35',plain,[-(c), 419 : p(422 ^ [])],extension(417 ^ 3,bind([[_362313], [422 ^ []]]))).
% 0.39/1.39 ncf('1.35.1',plain,[-(p(422 ^ []))],extension(424 ^ 6)).
% 0.39/1.39 ncf('1.36',plain,[-(h(78 ^ [])), 99 : f(78 ^ []), 93 : f(78 ^ []), 93 : -(g(78 ^ []))],extension(91 ^ 5,bind([[_354167, _354001], [78 ^ [], 78 ^ []]]))).
% 0.39/1.39 ncf('1.36.1',plain,[-(f(78 ^ []))],extension(80 ^ 8)).
% 0.39/1.39 ncf('1.36.2',plain,[-(f(78 ^ []))],extension(80 ^ 8)).
% 0.39/1.39 ncf('1.36.3',plain,[g(78 ^ []), f(78 ^ []), -(h(78 ^ []))],extension(115 ^ 8,bind([[_354610], [78 ^ []]]))).
% 0.39/1.39 ncf('1.36.3.1',plain,[-(f(78 ^ []))],lemmata('[1].x')).
% 0.39/1.39 ncf('1.36.3.2',plain,[h(78 ^ [])],reduction('1')).
% 0.39/1.39 ncf('1.37',plain,[-(g(85 ^ [])), 93 : f(85 ^ []), 99 : f(85 ^ []), 99 : -(h(85 ^ []))],extension(91 ^ 5,bind([[_354001, _354167], [85 ^ [], 85 ^ []]]))).
% 0.39/1.39 ncf('1.37.1',plain,[-(f(85 ^ []))],extension(87 ^ 8)).
% 0.39/1.39 ncf('1.37.2',plain,[-(f(85 ^ []))],extension(87 ^ 8)).
% 0.39/1.39 ncf('1.37.3',plain,[h(85 ^ []), -(g(85 ^ [])), f(85 ^ [])],extension(105 ^ 8,bind([[_354361], [85 ^ []]]))).
% 0.39/1.39 ncf('1.37.3.1',plain,[g(85 ^ [])],reduction('1')).
% 0.39/1.39 ncf('1.37.3.2',plain,[-(f(85 ^ []))],lemmata('[1].x')).
% 0.39/1.39 %-----------------------------------------------------
% 0.39/1.39 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------