TSTP Solution File: LCL460+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : LCL460+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n004.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 11:33:20 EDT 2023
% Result : Theorem 0.33s 1.38s
% Output : Proof 0.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL460+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.13 % Command : nanocop.sh %s %d
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu May 18 16:06:09 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.33/1.38
% 0.33/1.38 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.33/1.38 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.38 %-----------------------------------------------------
% 0.33/1.38 ncf(matrix, plain, [(533 ^ _61942) ^ [] : [kn2], (20 ^ _61942) ^ [_62690, _62692] : [-(is_a_theorem(_62690)), _62692 = _62690, is_a_theorem(_62692)], (2 ^ _61942) ^ [_62086] : [-(_62086 = _62086)], (4 ^ _61942) ^ [_62193, _62195] : [_62195 = _62193, -(_62193 = _62195)], (10 ^ _61942) ^ [_62397, _62399, _62401] : [-(_62401 = _62397), _62401 = _62399, _62399 = _62397], (30 ^ _61942) ^ [_63015, _63017, _63019, _63021] : [-(or(_63021, _63017) = or(_63019, _63015)), _63021 = _63019, _63017 = _63015], (40 ^ _61942) ^ [_63346, _63348] : [_63348 = _63346, -((not _63348) = (not _63346))], (46 ^ _61942) ^ [_63592, _63594, _63596, _63598] : [-(equiv(_63598, _63594) = equiv(_63596, _63592)), _63598 = _63596, _63594 = _63592], (56 ^ _61942) ^ [_63951, _63953, _63955, _63957] : [-(and(_63957, _63953) = and(_63955, _63951)), _63957 = _63955, _63953 = _63951], (66 ^ _61942) ^ [_64290, _64292, _64294, _64296] : [-(implies(_64296, _64292) = implies(_64294, _64290)), _64296 = _64294, _64292 = _64290], (491 ^ _61942) ^ [] : [-(op_or)], (493 ^ _61942) ^ [] : [-(op_implies_and)], (495 ^ _61942) ^ [] : [-(op_equiv)], (497 ^ _61942) ^ [] : [-(modus_ponens)], (499 ^ _61942) ^ [] : [-(modus_tollens)], (501 ^ _61942) ^ [] : [-(implies_1)], (503 ^ _61942) ^ [] : [-(implies_2)], (505 ^ _61942) ^ [] : [-(implies_3)], (507 ^ _61942) ^ [] : [-(and_1)], (509 ^ _61942) ^ [] : [-(and_2)], (511 ^ _61942) ^ [] : [-(and_3)], (513 ^ _61942) ^ [] : [-(or_1)], (515 ^ _61942) ^ [] : [-(or_2)], (517 ^ _61942) ^ [] : [-(or_3)], (519 ^ _61942) ^ [] : [-(equivalence_1)], (521 ^ _61942) ^ [] : [-(equivalence_2)], (523 ^ _61942) ^ [] : [-(equivalence_3)], (525 ^ _61942) ^ [] : [-(substitution_of_equivalents)], (527 ^ _61942) ^ [] : [-(op_or)], (529 ^ _61942) ^ [] : [-(op_implies_and)], (531 ^ _61942) ^ [] : [-(op_equiv)], (461 ^ _61942) ^ [] : [op_or, 464 ^ _61942 : [(465 ^ _61942) ^ [_75944, _75946] : [-(or(_75946, _75944) = (not and(not _75946, not _75944)))]]], (467 ^ _61942) ^ [] : [op_and, 470 ^ _61942 : [(471 ^ _61942) ^ [_76117, _76119] : [-(and(_76119, _76117) = (not or(not _76119, not _76117)))]]], (473 ^ _61942) ^ [] : [op_implies_and, 476 ^ _61942 : [(477 ^ _61942) ^ [_76290, _76292] : [-(implies(_76292, _76290) = (not and(_76292, not _76290)))]]], (479 ^ _61942) ^ [] : [op_implies_or, 482 ^ _61942 : [(483 ^ _61942) ^ [_76461, _76463] : [-(implies(_76463, _76461) = or(not _76463, _76461))]]], (485 ^ _61942) ^ [] : [op_equiv, 488 ^ _61942 : [(489 ^ _61942) ^ [_76610, _76612] : [-(equiv(_76612, _76610) = and(implies(_76612, _76610), implies(_76610, _76612)))]]], (90 ^ _61942) ^ [] : [93 ^ _61942 : [(94 ^ _61942) ^ [] : [-(is_a_theorem(91 ^ []))], (96 ^ _61942) ^ [] : [-(is_a_theorem(implies(91 ^ [], 92 ^ [])))], (98 ^ _61942) ^ [] : [is_a_theorem(92 ^ [])]], -(modus_ponens)], (76 ^ _61942) ^ [] : [modus_ponens, 79 ^ _61942 : [(80 ^ _61942) ^ [_64748, _64750] : [-(is_a_theorem(_64748)), is_a_theorem(_64750), is_a_theorem(implies(_64750, _64748))]]], (112 ^ _61942) ^ [] : [115 ^ _61942 : [(116 ^ _61942) ^ [] : [-(is_a_theorem(equiv(113 ^ [], 114 ^ [])))], (118 ^ _61942) ^ [] : [113 ^ [] = 114 ^ []]], -(substitution_of_equivalents)], (102 ^ _61942) ^ [] : [substitution_of_equivalents, 105 ^ _61942 : [(106 ^ _61942) ^ [_65458, _65460] : [is_a_theorem(equiv(_65460, _65458)), -(_65460 = _65458)]]], (122 ^ _61942) ^ [] : [modus_tollens, 125 ^ _61942 : [(126 ^ _61942) ^ [_66005, _66007] : [-(is_a_theorem(implies(implies(not _66005, not _66007), implies(_66007, _66005))))]]], (128 ^ _61942) ^ [] : [is_a_theorem(implies(implies(not 130 ^ [], not 129 ^ []), implies(129 ^ [], 130 ^ []))), -(modus_tollens)], (136 ^ _61942) ^ [] : [implies_1, 139 ^ _61942 : [(140 ^ _61942) ^ [_66409, _66411] : [-(is_a_theorem(implies(_66411, implies(_66409, _66411))))]]], (142 ^ _61942) ^ [] : [is_a_theorem(implies(143 ^ [], implies(144 ^ [], 143 ^ []))), -(implies_1)], (150 ^ _61942) ^ [] : [implies_2, 153 ^ _61942 : [(154 ^ _61942) ^ [_66794, _66796] : [-(is_a_theorem(implies(implies(_66796, implies(_66796, _66794)), implies(_66796, _66794))))]]], (156 ^ _61942) ^ [] : [is_a_theorem(implies(implies(157 ^ [], implies(157 ^ [], 158 ^ [])), implies(157 ^ [], 158 ^ []))), -(implies_2)], (164 ^ _61942) ^ [] : [implies_3, 167 ^ _61942 : [(168 ^ _61942) ^ [_67211, _67213, _67215] : [-(is_a_theorem(implies(implies(_67215, _67213), implies(implies(_67213, _67211), implies(_67215, _67211)))))]]], (170 ^ _61942) ^ [] : [is_a_theorem(implies(implies(171 ^ [], 172 ^ []), implies(implies(172 ^ [], 173 ^ []), implies(171 ^ [], 173 ^ [])))), -(implies_3)], (179 ^ _61942) ^ [] : [and_1, 182 ^ _61942 : [(183 ^ _61942) ^ [_67683, _67685] : [-(is_a_theorem(implies(and(_67685, _67683), _67685)))]]], (185 ^ _61942) ^ [] : [is_a_theorem(implies(and(186 ^ [], 187 ^ []), 186 ^ [])), -(and_1)], (193 ^ _61942) ^ [] : [and_2, 196 ^ _61942 : [(197 ^ _61942) ^ [_68068, _68070] : [-(is_a_theorem(implies(and(_68070, _68068), _68068)))]]], (199 ^ _61942) ^ [] : [is_a_theorem(implies(and(200 ^ [], 201 ^ []), 201 ^ [])), -(and_2)], (207 ^ _61942) ^ [] : [and_3, 210 ^ _61942 : [(211 ^ _61942) ^ [_68453, _68455] : [-(is_a_theorem(implies(_68455, implies(_68453, and(_68455, _68453)))))]]], (213 ^ _61942) ^ [] : [is_a_theorem(implies(214 ^ [], implies(215 ^ [], and(214 ^ [], 215 ^ [])))), -(and_3)], (221 ^ _61942) ^ [] : [or_1, 224 ^ _61942 : [(225 ^ _61942) ^ [_68847, _68849] : [-(is_a_theorem(implies(_68849, or(_68849, _68847))))]]], (227 ^ _61942) ^ [] : [is_a_theorem(implies(228 ^ [], or(228 ^ [], 229 ^ []))), -(or_1)], (235 ^ _61942) ^ [] : [or_2, 238 ^ _61942 : [(239 ^ _61942) ^ [_69232, _69234] : [-(is_a_theorem(implies(_69232, or(_69234, _69232))))]]], (241 ^ _61942) ^ [] : [is_a_theorem(implies(243 ^ [], or(242 ^ [], 243 ^ []))), -(or_2)], (249 ^ _61942) ^ [] : [or_3, 252 ^ _61942 : [(253 ^ _61942) ^ [_69631, _69633, _69635] : [-(is_a_theorem(implies(implies(_69635, _69631), implies(implies(_69633, _69631), implies(or(_69635, _69633), _69631)))))]]], (255 ^ _61942) ^ [] : [is_a_theorem(implies(implies(256 ^ [], 258 ^ []), implies(implies(257 ^ [], 258 ^ []), implies(or(256 ^ [], 257 ^ []), 258 ^ [])))), -(or_3)], (264 ^ _61942) ^ [] : [equivalence_1, 267 ^ _61942 : [(268 ^ _61942) ^ [_70115, _70117] : [-(is_a_theorem(implies(equiv(_70117, _70115), implies(_70117, _70115))))]]], (270 ^ _61942) ^ [] : [is_a_theorem(implies(equiv(271 ^ [], 272 ^ []), implies(271 ^ [], 272 ^ []))), -(equivalence_1)], (278 ^ _61942) ^ [] : [equivalence_2, 281 ^ _61942 : [(282 ^ _61942) ^ [_70509, _70511] : [-(is_a_theorem(implies(equiv(_70511, _70509), implies(_70509, _70511))))]]], (284 ^ _61942) ^ [] : [is_a_theorem(implies(equiv(285 ^ [], 286 ^ []), implies(286 ^ [], 285 ^ []))), -(equivalence_2)], (292 ^ _61942) ^ [] : [equivalence_3, 295 ^ _61942 : [(296 ^ _61942) ^ [_70903, _70905] : [-(is_a_theorem(implies(implies(_70905, _70903), implies(implies(_70903, _70905), equiv(_70905, _70903)))))]]], (298 ^ _61942) ^ [] : [is_a_theorem(implies(implies(299 ^ [], 300 ^ []), implies(implies(300 ^ [], 299 ^ []), equiv(299 ^ [], 300 ^ [])))), -(equivalence_3)], (306 ^ _61942) ^ [] : [kn1, 309 ^ _61942 : [(310 ^ _61942) ^ [_71301] : [-(is_a_theorem(implies(_71301, and(_71301, _71301))))]]], (312 ^ _61942) ^ [] : [is_a_theorem(implies(313 ^ [], and(313 ^ [], 313 ^ []))), -(kn1)], (319 ^ _61942) ^ [] : [kn2, 322 ^ _61942 : [(323 ^ _61942) ^ [_71637, _71639] : [-(is_a_theorem(implies(and(_71639, _71637), _71639)))]]], (325 ^ _61942) ^ [] : [is_a_theorem(implies(and(326 ^ [], 327 ^ []), 326 ^ [])), -(kn2)], (333 ^ _61942) ^ [] : [kn3, 336 ^ _61942 : [(337 ^ _61942) ^ [_72036, _72038, _72040] : [-(is_a_theorem(implies(implies(_72040, _72038), implies(not and(_72038, _72036), not and(_72036, _72040)))))]]], (339 ^ _61942) ^ [] : [is_a_theorem(implies(implies(340 ^ [], 341 ^ []), implies(not and(341 ^ [], 342 ^ []), not and(342 ^ [], 340 ^ [])))), -(kn3)], (348 ^ _61942) ^ [] : [cn1, 351 ^ _61942 : [(352 ^ _61942) ^ [_72538, _72540, _72542] : [-(is_a_theorem(implies(implies(_72542, _72540), implies(implies(_72540, _72538), implies(_72542, _72538)))))]]], (354 ^ _61942) ^ [] : [is_a_theorem(implies(implies(355 ^ [], 356 ^ []), implies(implies(356 ^ [], 357 ^ []), implies(355 ^ [], 357 ^ [])))), -(cn1)], (363 ^ _61942) ^ [] : [cn2, 366 ^ _61942 : [(367 ^ _61942) ^ [_73010, _73012] : [-(is_a_theorem(implies(_73012, implies(not _73012, _73010))))]]], (369 ^ _61942) ^ [] : [is_a_theorem(implies(370 ^ [], implies(not 370 ^ [], 371 ^ []))), -(cn2)], (377 ^ _61942) ^ [] : [cn3, 380 ^ _61942 : [(381 ^ _61942) ^ [_73385] : [-(is_a_theorem(implies(implies(not _73385, _73385), _73385)))]]], (383 ^ _61942) ^ [] : [is_a_theorem(implies(implies(not 384 ^ [], 384 ^ []), 384 ^ [])), -(cn3)], (390 ^ _61942) ^ [] : [r1, 393 ^ _61942 : [(394 ^ _61942) ^ [_73711] : [-(is_a_theorem(implies(or(_73711, _73711), _73711)))]]], (396 ^ _61942) ^ [] : [is_a_theorem(implies(or(397 ^ [], 397 ^ []), 397 ^ [])), -(r1)], (403 ^ _61942) ^ [] : [r2, 406 ^ _61942 : [(407 ^ _61942) ^ [_74047, _74049] : [-(is_a_theorem(implies(_74047, or(_74049, _74047))))]]], (409 ^ _61942) ^ [] : [is_a_theorem(implies(411 ^ [], or(410 ^ [], 411 ^ []))), -(r2)], (417 ^ _61942) ^ [] : [r3, 420 ^ _61942 : [(421 ^ _61942) ^ [_74432, _74434] : [-(is_a_theorem(implies(or(_74434, _74432), or(_74432, _74434))))]]], (423 ^ _61942) ^ [] : [is_a_theorem(implies(or(424 ^ [], 425 ^ []), or(425 ^ [], 424 ^ []))), -(r3)], (431 ^ _61942) ^ [] : [r4, 434 ^ _61942 : [(435 ^ _61942) ^ [_74840, _74842, _74844] : [-(is_a_theorem(implies(or(_74844, or(_74842, _74840)), or(_74842, or(_74844, _74840)))))]]], (437 ^ _61942) ^ [] : [is_a_theorem(implies(or(438 ^ [], or(439 ^ [], 440 ^ [])), or(439 ^ [], or(438 ^ [], 440 ^ [])))), -(r4)], (446 ^ _61942) ^ [] : [r5, 449 ^ _61942 : [(450 ^ _61942) ^ [_75309, _75311, _75313] : [-(is_a_theorem(implies(implies(_75311, _75309), implies(or(_75313, _75311), or(_75313, _75309)))))]]], (452 ^ _61942) ^ [] : [is_a_theorem(implies(implies(454 ^ [], 455 ^ []), implies(or(453 ^ [], 454 ^ []), or(453 ^ [], 455 ^ [])))), -(r5)]], input).
% 0.33/1.38 ncf('1',plain,[kn2],start(533 ^ 0)).
% 0.33/1.38 ncf('1.1',plain,[-(kn2), is_a_theorem(implies(and(326 ^ [], 327 ^ []), 326 ^ []))],extension(325 ^ 1)).
% 0.33/1.38 ncf('1.1.1',plain,[-(is_a_theorem(implies(and(326 ^ [], 327 ^ []), 326 ^ []))), and_1],extension(179 ^ 2,bind([[_67683, _67685], [327 ^ [], 326 ^ []]]))).
% 0.33/1.38 ncf('1.1.1.1',plain,[-(and_1)],extension(507 ^ 3)).
% 0.33/1.38 %-----------------------------------------------------
% 0.33/1.38 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------