TSTP Solution File: NUM472+2 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM472+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n010.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 11:44:43 EDT 2023
% Result : Theorem 1.36s 2.40s
% Output : Proof 1.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM472+2 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12 % Command : nanocop.sh %s %d
% 0.11/0.33 % Computer : n010.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu May 18 17:31:42 EDT 2023
% 0.11/0.33 % CPUTime :
% 1.36/2.40
% 1.36/2.40 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 1.36/2.40 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.36/2.40 %-----------------------------------------------------
% 1.36/2.40 ncf(matrix, plain, [(704 ^ _94976) ^ [] : [sdtlseqdt0(xm, sdtpldt0(xm, xn))], (698 ^ _94976) ^ [_116458] : [aNaturalNumber0(_116458), sdtpldt0(xm, _116458) = sdtpldt0(xm, xn)], (72 ^ _94976) ^ [_97391, _97393, _97395, _97397] : [-(sdtmndt0(_97397, _97393) = sdtmndt0(_97395, _97391)), _97397 = _97395, _97393 = _97391], (82 ^ _94976) ^ [_97750, _97752, _97754, _97756] : [-(sdtasdt0(_97756, _97752) = sdtasdt0(_97754, _97750)), _97756 = _97754, _97752 = _97750], (92 ^ _94976) ^ [_98109, _98111, _98113, _98115] : [-(sdtsldt0(_98115, _98111) = sdtsldt0(_98113, _98109)), _98115 = _98113, _98111 = _98109], (102 ^ _94976) ^ [_98448, _98450, _98452, _98454] : [-(sdtpldt0(_98454, _98450) = sdtpldt0(_98452, _98448)), _98454 = _98452, _98450 = _98448], (2 ^ _94976) ^ [_95120] : [-(_95120 = _95120)], (4 ^ _94976) ^ [_95227, _95229] : [_95229 = _95227, -(_95227 = _95229)], (10 ^ _94976) ^ [_95431, _95433, _95435] : [-(_95435 = _95431), _95435 = _95433, _95433 = _95431], (20 ^ _94976) ^ [_95772, _95774, _95776, _95778] : [-(iLess0(_95776, _95772)), iLess0(_95778, _95774), _95778 = _95776, _95774 = _95772], (34 ^ _94976) ^ [_96216, _96218, _96220, _96222] : [-(doDivides0(_96220, _96216)), doDivides0(_96222, _96218), _96222 = _96220, _96218 = _96216], (48 ^ _94976) ^ [_96632, _96634] : [-(aNaturalNumber0(_96632)), _96634 = _96632, aNaturalNumber0(_96634)], (58 ^ _94976) ^ [_96935, _96937, _96939, _96941] : [-(sdtlseqdt0(_96939, _96935)), sdtlseqdt0(_96941, _96937), _96941 = _96939, _96937 = _96935], (112 ^ _94976) ^ [_98779] : [aNaturalNumber0(_98779), true___, -(true___)], (122 ^ _94976) ^ [] : [-(aNaturalNumber0(sz00))], (124 ^ _94976) ^ [] : [-(aNaturalNumber0(sz10))], (126 ^ _94976) ^ [] : [sz10 = sz00], (128 ^ _94976) ^ [_99208, _99210] : [-(aNaturalNumber0(sdtpldt0(_99210, _99208))), aNaturalNumber0(_99210), aNaturalNumber0(_99208)], (138 ^ _94976) ^ [_99507, _99509] : [-(aNaturalNumber0(sdtasdt0(_99509, _99507))), aNaturalNumber0(_99509), aNaturalNumber0(_99507)], (148 ^ _94976) ^ [_99806, _99808] : [-(sdtpldt0(_99808, _99806) = sdtpldt0(_99806, _99808)), aNaturalNumber0(_99808), aNaturalNumber0(_99806)], (158 ^ _94976) ^ [_100127, _100129, _100131] : [-(sdtpldt0(sdtpldt0(_100131, _100129), _100127) = sdtpldt0(_100131, sdtpldt0(_100129, _100127))), aNaturalNumber0(_100131), aNaturalNumber0(_100129), aNaturalNumber0(_100127)], (172 ^ _94976) ^ [_100533] : [aNaturalNumber0(_100533), 175 ^ _94976 : [(176 ^ _94976) ^ [] : [-(sdtpldt0(_100533, sz00) = _100533)], (178 ^ _94976) ^ [] : [-(_100533 = sdtpldt0(sz00, _100533))]]], (180 ^ _94976) ^ [_100820, _100822] : [-(sdtasdt0(_100822, _100820) = sdtasdt0(_100820, _100822)), aNaturalNumber0(_100822), aNaturalNumber0(_100820)], (190 ^ _94976) ^ [_101141, _101143, _101145] : [-(sdtasdt0(sdtasdt0(_101145, _101143), _101141) = sdtasdt0(_101145, sdtasdt0(_101143, _101141))), aNaturalNumber0(_101145), aNaturalNumber0(_101143), aNaturalNumber0(_101141)], (204 ^ _94976) ^ [_101547] : [aNaturalNumber0(_101547), 207 ^ _94976 : [(208 ^ _94976) ^ [] : [-(sdtasdt0(_101547, sz10) = _101547)], (210 ^ _94976) ^ [] : [-(_101547 = sdtasdt0(sz10, _101547))]]], (212 ^ _94976) ^ [_101820] : [aNaturalNumber0(_101820), 215 ^ _94976 : [(216 ^ _94976) ^ [] : [-(sdtasdt0(_101820, sz00) = sz00)], (218 ^ _94976) ^ [] : [-(sz00 = sdtasdt0(sz00, _101820))]]], (220 ^ _94976) ^ [_102121, _102123, _102125] : [231 ^ _94976 : [(232 ^ _94976) ^ [] : [-(sdtasdt0(_102125, sdtpldt0(_102123, _102121)) = sdtpldt0(sdtasdt0(_102125, _102123), sdtasdt0(_102125, _102121)))], (234 ^ _94976) ^ [] : [-(sdtasdt0(sdtpldt0(_102123, _102121), _102125) = sdtpldt0(sdtasdt0(_102123, _102125), sdtasdt0(_102121, _102125)))]], aNaturalNumber0(_102125), aNaturalNumber0(_102123), aNaturalNumber0(_102121)], (236 ^ _94976) ^ [_102668, _102670, _102672] : [249 ^ _94976 : [(250 ^ _94976) ^ [] : [sdtpldt0(_102672, _102670) = sdtpldt0(_102672, _102668)], (252 ^ _94976) ^ [] : [sdtpldt0(_102670, _102672) = sdtpldt0(_102668, _102672)]], -(_102670 = _102668), aNaturalNumber0(_102672), aNaturalNumber0(_102670), aNaturalNumber0(_102668)], (256 ^ _94976) ^ [_103245] : [aNaturalNumber0(_103245), -(_103245 = sz00), 263 ^ _94976 : [(264 ^ _94976) ^ [_103507, _103509] : [aNaturalNumber0(_103509), aNaturalNumber0(_103507), 273 ^ _94976 : [(274 ^ _94976) ^ [] : [sdtasdt0(_103245, _103509) = sdtasdt0(_103245, _103507)], (276 ^ _94976) ^ [] : [sdtasdt0(_103509, _103245) = sdtasdt0(_103507, _103245)]], -(_103509 = _103507)]]], (280 ^ _94976) ^ [_104018, _104020] : [aNaturalNumber0(_104020), aNaturalNumber0(_104018), sdtpldt0(_104020, _104018) = sz00, 291 ^ _94976 : [(292 ^ _94976) ^ [] : [-(_104020 = sz00)], (294 ^ _94976) ^ [] : [-(_104018 = sz00)]]], (296 ^ _94976) ^ [_104485, _104487] : [aNaturalNumber0(_104487), aNaturalNumber0(_104485), sdtasdt0(_104487, _104485) = sz00, -(_104487 = sz00), -(_104485 = sz00)], (314 ^ _94976) ^ [_104967, _104969] : [aNaturalNumber0(_104969), aNaturalNumber0(_104967), 321 ^ _94976 : [(322 ^ _94976) ^ [] : [sdtlseqdt0(_104969, _104967), 326 ^ _94976 : [(327 ^ _94976) ^ [] : [-(aNaturalNumber0(325 ^ [_104967, _104969]))], (329 ^ _94976) ^ [] : [-(sdtpldt0(_104969, 325 ^ [_104967, _104969]) = _104967)]]], (331 ^ _94976) ^ [] : [-(sdtlseqdt0(_104969, _104967)), 332 ^ _94976 : [(333 ^ _94976) ^ [_105527] : [aNaturalNumber0(_105527), sdtpldt0(_104969, _105527) = _104967]]]]], (341 ^ _94976) ^ [_105810, _105812] : [aNaturalNumber0(_105812), aNaturalNumber0(_105810), sdtlseqdt0(_105812, _105810), 352 ^ _94976 : [(353 ^ _94976) ^ [_106157] : [_106157 = sdtmndt0(_105810, _105812), 356 ^ _94976 : [(357 ^ _94976) ^ [] : [-(aNaturalNumber0(_106157))], (359 ^ _94976) ^ [] : [-(sdtpldt0(_105812, _106157) = _105810)]]], (361 ^ _94976) ^ [_106416] : [-(_106416 = sdtmndt0(_105810, _105812)), aNaturalNumber0(_106416), sdtpldt0(_105812, _106416) = _105810]]], (371 ^ _94976) ^ [_106738] : [aNaturalNumber0(_106738), -(sdtlseqdt0(_106738, _106738))], (377 ^ _94976) ^ [_106940, _106942] : [aNaturalNumber0(_106942), aNaturalNumber0(_106940), -(_106942 = _106940), sdtlseqdt0(_106942, _106940), sdtlseqdt0(_106940, _106942)], (395 ^ _94976) ^ [_107429, _107431, _107433] : [aNaturalNumber0(_107433), aNaturalNumber0(_107431), aNaturalNumber0(_107429), -(sdtlseqdt0(_107433, _107429)), sdtlseqdt0(_107433, _107431), sdtlseqdt0(_107431, _107429)], (417 ^ _94976) ^ [_108015, _108017] : [aNaturalNumber0(_108017), aNaturalNumber0(_108015), -(sdtlseqdt0(_108017, _108015)), 428 ^ _94976 : [(429 ^ _94976) ^ [] : [_108015 = _108017], (431 ^ _94976) ^ [] : [-(sdtlseqdt0(_108015, _108017))]]], (433 ^ _94976) ^ [_108478, _108480] : [aNaturalNumber0(_108480), aNaturalNumber0(_108478), -(_108480 = _108478), sdtlseqdt0(_108480, _108478), 448 ^ _94976 : [(449 ^ _94976) ^ [_108922] : [aNaturalNumber0(_108922), 452 ^ _94976 : [(453 ^ _94976) ^ [] : [sdtpldt0(_108922, _108480) = sdtpldt0(_108922, _108478)], (455 ^ _94976) ^ [] : [-(sdtlseqdt0(sdtpldt0(_108922, _108480), sdtpldt0(_108922, _108478)))], (457 ^ _94976) ^ [] : [sdtpldt0(_108480, _108922) = sdtpldt0(_108478, _108922)], (459 ^ _94976) ^ [] : [-(sdtlseqdt0(sdtpldt0(_108480, _108922), sdtpldt0(_108478, _108922)))]]]]], (461 ^ _94976) ^ [_109446, _109448, _109450] : [aNaturalNumber0(_109450), aNaturalNumber0(_109448), aNaturalNumber0(_109446), 484 ^ _94976 : [(485 ^ _94976) ^ [] : [sdtasdt0(_109450, _109448) = sdtasdt0(_109450, _109446)], (487 ^ _94976) ^ [] : [-(sdtlseqdt0(sdtasdt0(_109450, _109448), sdtasdt0(_109450, _109446)))], (489 ^ _94976) ^ [] : [sdtasdt0(_109448, _109450) = sdtasdt0(_109446, _109450)], (491 ^ _94976) ^ [] : [-(sdtlseqdt0(sdtasdt0(_109448, _109450), sdtasdt0(_109446, _109450)))]], -(_109450 = sz00), -(_109448 = _109446), sdtlseqdt0(_109448, _109446)], (493 ^ _94976) ^ [_110396] : [aNaturalNumber0(_110396), -(_110396 = sz00), -(_110396 = sz10), 504 ^ _94976 : [(505 ^ _94976) ^ [] : [sz10 = _110396], (507 ^ _94976) ^ [] : [-(sdtlseqdt0(sz10, _110396))]]], (509 ^ _94976) ^ [_110844, _110846] : [aNaturalNumber0(_110846), aNaturalNumber0(_110844), -(_110846 = sz00), -(sdtlseqdt0(_110844, sdtasdt0(_110844, _110846)))], (523 ^ _94976) ^ [_111239, _111241] : [aNaturalNumber0(_111241), aNaturalNumber0(_111239), iLess0(_111241, _111239), true___, -(true___)], (541 ^ _94976) ^ [_111699, _111701] : [aNaturalNumber0(_111701), aNaturalNumber0(_111699), -(iLess0(_111701, _111699)), -(_111701 = _111699), sdtlseqdt0(_111701, _111699)], (559 ^ _94976) ^ [_112177, _112179] : [aNaturalNumber0(_112179), aNaturalNumber0(_112177), 566 ^ _94976 : [(567 ^ _94976) ^ [] : [doDivides0(_112179, _112177), 571 ^ _94976 : [(572 ^ _94976) ^ [] : [-(aNaturalNumber0(570 ^ [_112177, _112179]))], (574 ^ _94976) ^ [] : [-(_112177 = sdtasdt0(_112179, 570 ^ [_112177, _112179]))]]], (576 ^ _94976) ^ [] : [-(doDivides0(_112179, _112177)), 577 ^ _94976 : [(578 ^ _94976) ^ [_112737] : [aNaturalNumber0(_112737), _112177 = sdtasdt0(_112179, _112737)]]]]], (586 ^ _94976) ^ [_113020, _113022] : [aNaturalNumber0(_113022), aNaturalNumber0(_113020), -(_113022 = sz00), doDivides0(_113022, _113020), 601 ^ _94976 : [(602 ^ _94976) ^ [_113459] : [_113459 = sdtsldt0(_113020, _113022), 605 ^ _94976 : [(606 ^ _94976) ^ [] : [-(aNaturalNumber0(_113459))], (608 ^ _94976) ^ [] : [-(_113020 = sdtasdt0(_113022, _113459))]]], (610 ^ _94976) ^ [_113718] : [-(_113718 = sdtsldt0(_113020, _113022)), aNaturalNumber0(_113718), _113020 = sdtasdt0(_113022, _113718)]]], (620 ^ _94976) ^ [_114070, _114072, _114074] : [aNaturalNumber0(_114074), aNaturalNumber0(_114072), aNaturalNumber0(_114070), -(doDivides0(_114074, _114070)), doDivides0(_114074, _114072), doDivides0(_114072, _114070)], (664 ^ _94976) ^ [] : [-(aNaturalNumber0(xl))], (666 ^ _94976) ^ [] : [-(aNaturalNumber0(xm))], (668 ^ _94976) ^ [] : [-(aNaturalNumber0(xn))], (671 ^ _94976) ^ [] : [-(aNaturalNumber0(669 ^ []))], (673 ^ _94976) ^ [] : [-(xm = sdtasdt0(xl, 669 ^ []))], (675 ^ _94976) ^ [] : [-(doDivides0(xl, xm))], (678 ^ _94976) ^ [] : [-(aNaturalNumber0(676 ^ []))], (680 ^ _94976) ^ [] : [-(sdtpldt0(xm, xn) = sdtasdt0(xl, 676 ^ []))], (682 ^ _94976) ^ [] : [-(doDivides0(xl, sdtpldt0(xm, xn)))], (684 ^ _94976) ^ [] : [xl = sz00], (686 ^ _94976) ^ [] : [-(aNaturalNumber0(xp))], (688 ^ _94976) ^ [] : [-(xm = sdtasdt0(xl, xp))], (690 ^ _94976) ^ [] : [-(xp = sdtsldt0(xm, xl))], (692 ^ _94976) ^ [] : [-(aNaturalNumber0(xq))], (694 ^ _94976) ^ [] : [-(sdtpldt0(xm, xn) = sdtasdt0(xl, xq))], (696 ^ _94976) ^ [] : [-(xq = sdtsldt0(sdtpldt0(xm, xn), xl))], (642 ^ _94976) ^ [_114670, _114672, _114674] : [aNaturalNumber0(_114674), aNaturalNumber0(_114672), aNaturalNumber0(_114670), -(doDivides0(_114674, sdtpldt0(_114672, _114670))), doDivides0(_114674, _114672), doDivides0(_114674, _114670)]], input).
% 1.36/2.41 ncf('1',plain,[sdtlseqdt0(xm, sdtpldt0(xm, xn))],start(704 ^ 0)).
% 1.36/2.41 ncf('1.1',plain,[-(sdtlseqdt0(xm, sdtpldt0(xm, xn))), aNaturalNumber0(xm), aNaturalNumber0(sdtpldt0(xm, xn)), 431 : -(sdtlseqdt0(sdtpldt0(xm, xn), xm))],extension(417 ^ 1,bind([[_108015, _108017], [sdtpldt0(xm, xn), xm]]))).
% 1.36/2.41 ncf('1.1.1',plain,[-(aNaturalNumber0(xm))],extension(666 ^ 2)).
% 1.36/2.41 ncf('1.1.2',plain,[-(aNaturalNumber0(sdtpldt0(xm, xn))), aNaturalNumber0(xm), aNaturalNumber0(xn)],extension(128 ^ 2,bind([[_99208, _99210], [xn, xm]]))).
% 1.36/2.41 ncf('1.1.2.1',plain,[-(aNaturalNumber0(xm))],lemmata('[1].x')).
% 1.36/2.41 ncf('1.1.2.2',plain,[-(aNaturalNumber0(xn))],extension(668 ^ 3)).
% 1.36/2.41 ncf('1.1.3',plain,[sdtlseqdt0(sdtpldt0(xm, xn), xm), 327 : -(aNaturalNumber0(325 ^ [xm, sdtpldt0(xm, xn)])), 322 : aNaturalNumber0(sdtpldt0(xm, xn)), 322 : aNaturalNumber0(xm)],extension(314 ^ 4,bind([[_104967, _104969], [xm, sdtpldt0(xm, xn)]]))).
% 1.36/2.41 ncf('1.1.3.1',plain,[aNaturalNumber0(325 ^ [xm, sdtpldt0(xm, xn)]), 250 : sdtpldt0(325 ^ [xm, sdtpldt0(xm, xn)], sdtpldt0(xm, xn)) = sdtpldt0(325 ^ [xm, sdtpldt0(xm, xn)], sdtpldt0(xm, xn)), 250 : -(sdtpldt0(xm, xn) = sdtpldt0(xm, xn)), 250 : aNaturalNumber0(sdtpldt0(xm, xn)), 250 : aNaturalNumber0(sdtpldt0(xm, xn))],extension(236 ^ 9,bind([[_102668, _102670, _102672], [sdtpldt0(xm, xn), sdtpldt0(xm, xn), 325 ^ [xm, sdtpldt0(xm, xn)]]]))).
% 1.36/2.41 ncf('1.1.3.1.1',plain,[-(sdtpldt0(325 ^ [xm, sdtpldt0(xm, xn)], sdtpldt0(xm, xn)) = sdtpldt0(325 ^ [xm, sdtpldt0(xm, xn)], sdtpldt0(xm, xn)))],extension(2 ^ 12,bind([[_95120], [sdtpldt0(325 ^ [xm, sdtpldt0(xm, xn)], sdtpldt0(xm, xn))]]))).
% 1.36/2.41 ncf('1.1.3.1.2',plain,[sdtpldt0(xm, xn) = sdtpldt0(xm, xn), aNaturalNumber0(xn)],extension(698 ^ 10,bind([[_116458], [xn]]))).
% 1.36/2.41 ncf('1.1.3.1.2.1',plain,[-(aNaturalNumber0(xn))],extension(668 ^ 11)).
% 1.36/2.41 ncf('1.1.3.1.3',plain,[-(aNaturalNumber0(sdtpldt0(xm, xn)))],lemmata('[1].x')).
% 1.36/2.41 ncf('1.1.3.1.4',plain,[-(aNaturalNumber0(sdtpldt0(xm, xn)))],lemmata('[3, 1, 1].x')).
% 1.36/2.41 ncf('1.1.3.2',plain,[-(aNaturalNumber0(sdtpldt0(xm, xn)))],lemmata('[1].x')).
% 1.36/2.41 ncf('1.1.3.3',plain,[-(aNaturalNumber0(xm))],lemmata('[1].x')).
% 1.36/2.41 %-----------------------------------------------------
% 1.36/2.41 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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