TSTP Solution File: NUM480+2 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM480+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n018.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 11:44:44 EDT 2023
% Result : Theorem 102.46s 99.65s
% Output : Proof 102.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM480+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : nanocop.sh %s %d
% 0.12/0.34 % Computer : n018.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 17:56:27 EDT 2023
% 0.12/0.34 % CPUTime :
% 102.46/99.65
% 102.46/99.65 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 102.46/99.65 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 102.46/99.65 %-----------------------------------------------------
% 102.46/99.65 ncf(matrix, plain, [(729 ^ _99295) ^ [] : [-(aNaturalNumber0(sdtsldt0(xm, xl)))], (731 ^ _99295) ^ [] : [-(xm = sdtasdt0(xl, sdtsldt0(xm, xl)))], (733 ^ _99295) ^ [] : [sdtasdt0(xn, xm) = sdtasdt0(xl, sdtasdt0(xn, sdtsldt0(xm, xl)))], (735 ^ _99295) ^ [] : [sdtasdt0(xn, sdtsldt0(xm, xl)) = sdtsldt0(sdtasdt0(xn, xm), xl)], (72 ^ _99295) ^ [_101710, _101712, _101714, _101716] : [-(sdtmndt0(_101716, _101712) = sdtmndt0(_101714, _101710)), _101716 = _101714, _101712 = _101710], (82 ^ _99295) ^ [_102069, _102071, _102073, _102075] : [-(sdtpldt0(_102075, _102071) = sdtpldt0(_102073, _102069)), _102075 = _102073, _102071 = _102069], (92 ^ _99295) ^ [_102428, _102430, _102432, _102434] : [-(sdtsldt0(_102434, _102430) = sdtsldt0(_102432, _102428)), _102434 = _102432, _102430 = _102428], (102 ^ _99295) ^ [_102767, _102769, _102771, _102773] : [-(sdtasdt0(_102773, _102769) = sdtasdt0(_102771, _102767)), _102773 = _102771, _102769 = _102767], (2 ^ _99295) ^ [_99439] : [-(_99439 = _99439)], (4 ^ _99295) ^ [_99546, _99548] : [_99548 = _99546, -(_99546 = _99548)], (10 ^ _99295) ^ [_99750, _99752, _99754] : [-(_99754 = _99750), _99754 = _99752, _99752 = _99750], (20 ^ _99295) ^ [_100091, _100093, _100095, _100097] : [-(iLess0(_100095, _100091)), iLess0(_100097, _100093), _100097 = _100095, _100093 = _100091], (34 ^ _99295) ^ [_100535, _100537, _100539, _100541] : [-(sdtlseqdt0(_100539, _100535)), sdtlseqdt0(_100541, _100537), _100541 = _100539, _100537 = _100535], (62 ^ _99295) ^ [_101375, _101377] : [-(aNaturalNumber0(_101375)), _101377 = _101375, aNaturalNumber0(_101377)], (48 ^ _99295) ^ [_100979, _100981, _100983, _100985] : [-(doDivides0(_100983, _100979)), doDivides0(_100985, _100981), _100985 = _100983, _100981 = _100979], (112 ^ _99295) ^ [_103098] : [aNaturalNumber0(_103098), true___, -(true___)], (122 ^ _99295) ^ [] : [-(aNaturalNumber0(sz00))], (124 ^ _99295) ^ [] : [-(aNaturalNumber0(sz10))], (126 ^ _99295) ^ [] : [sz10 = sz00], (128 ^ _99295) ^ [_103527, _103529] : [-(aNaturalNumber0(sdtpldt0(_103529, _103527))), aNaturalNumber0(_103529), aNaturalNumber0(_103527)], (138 ^ _99295) ^ [_103826, _103828] : [-(aNaturalNumber0(sdtasdt0(_103828, _103826))), aNaturalNumber0(_103828), aNaturalNumber0(_103826)], (148 ^ _99295) ^ [_104125, _104127] : [-(sdtpldt0(_104127, _104125) = sdtpldt0(_104125, _104127)), aNaturalNumber0(_104127), aNaturalNumber0(_104125)], (158 ^ _99295) ^ [_104446, _104448, _104450] : [-(sdtpldt0(sdtpldt0(_104450, _104448), _104446) = sdtpldt0(_104450, sdtpldt0(_104448, _104446))), aNaturalNumber0(_104450), aNaturalNumber0(_104448), aNaturalNumber0(_104446)], (172 ^ _99295) ^ [_104852] : [aNaturalNumber0(_104852), 175 ^ _99295 : [(176 ^ _99295) ^ [] : [-(sdtpldt0(_104852, sz00) = _104852)], (178 ^ _99295) ^ [] : [-(_104852 = sdtpldt0(sz00, _104852))]]], (180 ^ _99295) ^ [_105139, _105141] : [-(sdtasdt0(_105141, _105139) = sdtasdt0(_105139, _105141)), aNaturalNumber0(_105141), aNaturalNumber0(_105139)], (190 ^ _99295) ^ [_105460, _105462, _105464] : [-(sdtasdt0(sdtasdt0(_105464, _105462), _105460) = sdtasdt0(_105464, sdtasdt0(_105462, _105460))), aNaturalNumber0(_105464), aNaturalNumber0(_105462), aNaturalNumber0(_105460)], (204 ^ _99295) ^ [_105866] : [aNaturalNumber0(_105866), 207 ^ _99295 : [(208 ^ _99295) ^ [] : [-(sdtasdt0(_105866, sz10) = _105866)], (210 ^ _99295) ^ [] : [-(_105866 = sdtasdt0(sz10, _105866))]]], (212 ^ _99295) ^ [_106139] : [aNaturalNumber0(_106139), 215 ^ _99295 : [(216 ^ _99295) ^ [] : [-(sdtasdt0(_106139, sz00) = sz00)], (218 ^ _99295) ^ [] : [-(sz00 = sdtasdt0(sz00, _106139))]]], (220 ^ _99295) ^ [_106440, _106442, _106444] : [231 ^ _99295 : [(232 ^ _99295) ^ [] : [-(sdtasdt0(_106444, sdtpldt0(_106442, _106440)) = sdtpldt0(sdtasdt0(_106444, _106442), sdtasdt0(_106444, _106440)))], (234 ^ _99295) ^ [] : [-(sdtasdt0(sdtpldt0(_106442, _106440), _106444) = sdtpldt0(sdtasdt0(_106442, _106444), sdtasdt0(_106440, _106444)))]], aNaturalNumber0(_106444), aNaturalNumber0(_106442), aNaturalNumber0(_106440)], (236 ^ _99295) ^ [_106987, _106989, _106991] : [249 ^ _99295 : [(250 ^ _99295) ^ [] : [sdtpldt0(_106991, _106989) = sdtpldt0(_106991, _106987)], (252 ^ _99295) ^ [] : [sdtpldt0(_106989, _106991) = sdtpldt0(_106987, _106991)]], -(_106989 = _106987), aNaturalNumber0(_106991), aNaturalNumber0(_106989), aNaturalNumber0(_106987)], (256 ^ _99295) ^ [_107564] : [aNaturalNumber0(_107564), -(_107564 = sz00), 263 ^ _99295 : [(264 ^ _99295) ^ [_107826, _107828] : [aNaturalNumber0(_107828), aNaturalNumber0(_107826), 273 ^ _99295 : [(274 ^ _99295) ^ [] : [sdtasdt0(_107564, _107828) = sdtasdt0(_107564, _107826)], (276 ^ _99295) ^ [] : [sdtasdt0(_107828, _107564) = sdtasdt0(_107826, _107564)]], -(_107828 = _107826)]]], (280 ^ _99295) ^ [_108337, _108339] : [aNaturalNumber0(_108339), aNaturalNumber0(_108337), sdtpldt0(_108339, _108337) = sz00, 291 ^ _99295 : [(292 ^ _99295) ^ [] : [-(_108339 = sz00)], (294 ^ _99295) ^ [] : [-(_108337 = sz00)]]], (296 ^ _99295) ^ [_108804, _108806] : [aNaturalNumber0(_108806), aNaturalNumber0(_108804), sdtasdt0(_108806, _108804) = sz00, -(_108806 = sz00), -(_108804 = sz00)], (314 ^ _99295) ^ [_109286, _109288] : [aNaturalNumber0(_109288), aNaturalNumber0(_109286), 321 ^ _99295 : [(322 ^ _99295) ^ [] : [sdtlseqdt0(_109288, _109286), 326 ^ _99295 : [(327 ^ _99295) ^ [] : [-(aNaturalNumber0(325 ^ [_109286, _109288]))], (329 ^ _99295) ^ [] : [-(sdtpldt0(_109288, 325 ^ [_109286, _109288]) = _109286)]]], (331 ^ _99295) ^ [] : [-(sdtlseqdt0(_109288, _109286)), 332 ^ _99295 : [(333 ^ _99295) ^ [_109846] : [aNaturalNumber0(_109846), sdtpldt0(_109288, _109846) = _109286]]]]], (341 ^ _99295) ^ [_110129, _110131] : [aNaturalNumber0(_110131), aNaturalNumber0(_110129), sdtlseqdt0(_110131, _110129), 352 ^ _99295 : [(353 ^ _99295) ^ [_110476] : [_110476 = sdtmndt0(_110129, _110131), 356 ^ _99295 : [(357 ^ _99295) ^ [] : [-(aNaturalNumber0(_110476))], (359 ^ _99295) ^ [] : [-(sdtpldt0(_110131, _110476) = _110129)]]], (361 ^ _99295) ^ [_110735] : [-(_110735 = sdtmndt0(_110129, _110131)), aNaturalNumber0(_110735), sdtpldt0(_110131, _110735) = _110129]]], (371 ^ _99295) ^ [_111057] : [aNaturalNumber0(_111057), -(sdtlseqdt0(_111057, _111057))], (377 ^ _99295) ^ [_111259, _111261] : [aNaturalNumber0(_111261), aNaturalNumber0(_111259), -(_111261 = _111259), sdtlseqdt0(_111261, _111259), sdtlseqdt0(_111259, _111261)], (395 ^ _99295) ^ [_111748, _111750, _111752] : [aNaturalNumber0(_111752), aNaturalNumber0(_111750), aNaturalNumber0(_111748), -(sdtlseqdt0(_111752, _111748)), sdtlseqdt0(_111752, _111750), sdtlseqdt0(_111750, _111748)], (417 ^ _99295) ^ [_112334, _112336] : [aNaturalNumber0(_112336), aNaturalNumber0(_112334), -(sdtlseqdt0(_112336, _112334)), 428 ^ _99295 : [(429 ^ _99295) ^ [] : [_112334 = _112336], (431 ^ _99295) ^ [] : [-(sdtlseqdt0(_112334, _112336))]]], (433 ^ _99295) ^ [_112797, _112799] : [aNaturalNumber0(_112799), aNaturalNumber0(_112797), -(_112799 = _112797), sdtlseqdt0(_112799, _112797), 448 ^ _99295 : [(449 ^ _99295) ^ [_113241] : [aNaturalNumber0(_113241), 452 ^ _99295 : [(453 ^ _99295) ^ [] : [sdtpldt0(_113241, _112799) = sdtpldt0(_113241, _112797)], (455 ^ _99295) ^ [] : [-(sdtlseqdt0(sdtpldt0(_113241, _112799), sdtpldt0(_113241, _112797)))], (457 ^ _99295) ^ [] : [sdtpldt0(_112799, _113241) = sdtpldt0(_112797, _113241)], (459 ^ _99295) ^ [] : [-(sdtlseqdt0(sdtpldt0(_112799, _113241), sdtpldt0(_112797, _113241)))]]]]], (461 ^ _99295) ^ [_113765, _113767, _113769] : [aNaturalNumber0(_113769), aNaturalNumber0(_113767), aNaturalNumber0(_113765), 484 ^ _99295 : [(485 ^ _99295) ^ [] : [sdtasdt0(_113769, _113767) = sdtasdt0(_113769, _113765)], (487 ^ _99295) ^ [] : [-(sdtlseqdt0(sdtasdt0(_113769, _113767), sdtasdt0(_113769, _113765)))], (489 ^ _99295) ^ [] : [sdtasdt0(_113767, _113769) = sdtasdt0(_113765, _113769)], (491 ^ _99295) ^ [] : [-(sdtlseqdt0(sdtasdt0(_113767, _113769), sdtasdt0(_113765, _113769)))]], -(_113769 = sz00), -(_113767 = _113765), sdtlseqdt0(_113767, _113765)], (493 ^ _99295) ^ [_114715] : [aNaturalNumber0(_114715), -(_114715 = sz00), -(_114715 = sz10), 504 ^ _99295 : [(505 ^ _99295) ^ [] : [sz10 = _114715], (507 ^ _99295) ^ [] : [-(sdtlseqdt0(sz10, _114715))]]], (509 ^ _99295) ^ [_115163, _115165] : [aNaturalNumber0(_115165), aNaturalNumber0(_115163), -(_115165 = sz00), -(sdtlseqdt0(_115163, sdtasdt0(_115163, _115165)))], (523 ^ _99295) ^ [_115558, _115560] : [aNaturalNumber0(_115560), aNaturalNumber0(_115558), iLess0(_115560, _115558), true___, -(true___)], (541 ^ _99295) ^ [_116018, _116020] : [aNaturalNumber0(_116020), aNaturalNumber0(_116018), -(iLess0(_116020, _116018)), -(_116020 = _116018), sdtlseqdt0(_116020, _116018)], (559 ^ _99295) ^ [_116496, _116498] : [aNaturalNumber0(_116498), aNaturalNumber0(_116496), 566 ^ _99295 : [(567 ^ _99295) ^ [] : [doDivides0(_116498, _116496), 571 ^ _99295 : [(572 ^ _99295) ^ [] : [-(aNaturalNumber0(570 ^ [_116496, _116498]))], (574 ^ _99295) ^ [] : [-(_116496 = sdtasdt0(_116498, 570 ^ [_116496, _116498]))]]], (576 ^ _99295) ^ [] : [-(doDivides0(_116498, _116496)), 577 ^ _99295 : [(578 ^ _99295) ^ [_117056] : [aNaturalNumber0(_117056), _116496 = sdtasdt0(_116498, _117056)]]]]], (586 ^ _99295) ^ [_117339, _117341] : [aNaturalNumber0(_117341), aNaturalNumber0(_117339), -(_117341 = sz00), doDivides0(_117341, _117339), 601 ^ _99295 : [(602 ^ _99295) ^ [_117778] : [_117778 = sdtsldt0(_117339, _117341), 605 ^ _99295 : [(606 ^ _99295) ^ [] : [-(aNaturalNumber0(_117778))], (608 ^ _99295) ^ [] : [-(_117339 = sdtasdt0(_117341, _117778))]]], (610 ^ _99295) ^ [_118037] : [-(_118037 = sdtsldt0(_117339, _117341)), aNaturalNumber0(_118037), _117339 = sdtasdt0(_117341, _118037)]]], (620 ^ _99295) ^ [_118389, _118391, _118393] : [aNaturalNumber0(_118393), aNaturalNumber0(_118391), aNaturalNumber0(_118389), -(doDivides0(_118393, _118389)), doDivides0(_118393, _118391), doDivides0(_118391, _118389)], (642 ^ _99295) ^ [_118989, _118991, _118993] : [aNaturalNumber0(_118993), aNaturalNumber0(_118991), aNaturalNumber0(_118989), -(doDivides0(_118993, sdtpldt0(_118991, _118989))), doDivides0(_118993, _118991), doDivides0(_118993, _118989)], (704 ^ _99295) ^ [] : [-(aNaturalNumber0(xl))], (706 ^ _99295) ^ [] : [-(aNaturalNumber0(xm))], (708 ^ _99295) ^ [] : [xl = sz00], (711 ^ _99295) ^ [] : [-(aNaturalNumber0(709 ^ []))], (713 ^ _99295) ^ [] : [-(xm = sdtasdt0(xl, 709 ^ []))], (715 ^ _99295) ^ [] : [-(doDivides0(xl, xm))], (717 ^ _99295) ^ [] : [-(aNaturalNumber0(xn))], (719 ^ _99295) ^ [] : [-(aNaturalNumber0(sdtsldt0(xm, xl)))], (721 ^ _99295) ^ [] : [-(xm = sdtasdt0(xl, sdtsldt0(xm, xl)))], (723 ^ _99295) ^ [] : [-(aNaturalNumber0(sdtsldt0(sdtasdt0(xn, xm), xl)))], (725 ^ _99295) ^ [] : [-(sdtasdt0(xn, xm) = sdtasdt0(xl, sdtsldt0(sdtasdt0(xn, xm), xl)))], (727 ^ _99295) ^ [] : [-(sdtasdt0(sdtasdt0(xl, xn), sdtsldt0(xm, xl)) = sdtasdt0(xl, sdtsldt0(sdtasdt0(xn, xm), xl)))], (686 ^ _99295) ^ [_120187, _120189] : [aNaturalNumber0(_120189), aNaturalNumber0(_120187), -(sdtlseqdt0(_120189, _120187)), doDivides0(_120189, _120187), -(_120187 = sz00)], (664 ^ _99295) ^ [_119595, _119597, _119599] : [aNaturalNumber0(_119599), aNaturalNumber0(_119597), aNaturalNumber0(_119595), -(doDivides0(_119599, _119595)), doDivides0(_119599, _119597), doDivides0(_119599, sdtpldt0(_119597, _119595))]], input).
% 102.46/99.65 ncf('1',plain,[sdtasdt0(xn, xm) = sdtasdt0(xl, sdtasdt0(xn, sdtsldt0(xm, xl)))],start(733 ^ 0)).
% 102.46/99.65 ncf('1.1',plain,[-(sdtasdt0(xn, xm) = sdtasdt0(xl, sdtasdt0(xn, sdtsldt0(xm, xl)))), sdtasdt0(xn, xm) = sdtasdt0(xl, sdtsldt0(sdtasdt0(xn, xm), xl)), sdtasdt0(xl, sdtsldt0(sdtasdt0(xn, xm), xl)) = sdtasdt0(xl, sdtasdt0(xn, sdtsldt0(xm, xl)))],extension(10 ^ 1,bind([[_99750, _99752, _99754], [sdtasdt0(xl, sdtasdt0(xn, sdtsldt0(xm, xl))), sdtasdt0(xl, sdtsldt0(sdtasdt0(xn, xm), xl)), sdtasdt0(xn, xm)]]))).
% 102.46/99.65 ncf('1.1.1',plain,[-(sdtasdt0(xn, xm) = sdtasdt0(xl, sdtsldt0(sdtasdt0(xn, xm), xl))), sdtasdt0(xn, xm) = sdtasdt0(xl, sdtsldt0(sdtasdt0(xn, xm), xl)), sdtasdt0(xl, sdtsldt0(sdtasdt0(xn, xm), xl)) = sdtasdt0(xl, sdtsldt0(sdtasdt0(xn, xm), xl))],extension(10 ^ 2,bind([[_99750, _99752, _99754], [sdtasdt0(xl, sdtsldt0(sdtasdt0(xn, xm), xl)), sdtasdt0(xl, sdtsldt0(sdtasdt0(xn, xm), xl)), sdtasdt0(xn, xm)]]))).
% 102.46/99.65 ncf('1.1.1.1',plain,[-(sdtasdt0(xn, xm) = sdtasdt0(xl, sdtsldt0(sdtasdt0(xn, xm), xl)))],extension(725 ^ 3)).
% 102.46/99.65 ncf('1.1.1.2',plain,[-(sdtasdt0(xl, sdtsldt0(sdtasdt0(xn, xm), xl)) = sdtasdt0(xl, sdtsldt0(sdtasdt0(xn, xm), xl)))],extension(2 ^ 3,bind([[_99439], [sdtasdt0(xl, sdtsldt0(sdtasdt0(xn, xm), xl))]]))).
% 102.46/99.65 ncf('1.1.2',plain,[-(sdtasdt0(xl, sdtsldt0(sdtasdt0(xn, xm), xl)) = sdtasdt0(xl, sdtasdt0(xn, sdtsldt0(xm, xl)))), sdtasdt0(xl, sdtsldt0(sdtasdt0(xn, xm), xl)) = sdtasdt0(sdtasdt0(xl, xn), sdtsldt0(xm, xl)), sdtasdt0(sdtasdt0(xl, xn), sdtsldt0(xm, xl)) = sdtasdt0(xl, sdtasdt0(xn, sdtsldt0(xm, xl)))],extension(10 ^ 2,bind([[_99750, _99752, _99754], [sdtasdt0(xl, sdtasdt0(xn, sdtsldt0(xm, xl))), sdtasdt0(sdtasdt0(xl, xn), sdtsldt0(xm, xl)), sdtasdt0(xl, sdtsldt0(sdtasdt0(xn, xm), xl))]]))).
% 102.46/99.65 ncf('1.1.2.1',plain,[-(sdtasdt0(xl, sdtsldt0(sdtasdt0(xn, xm), xl)) = sdtasdt0(sdtasdt0(xl, xn), sdtsldt0(xm, xl))), sdtasdt0(sdtasdt0(xl, xn), sdtsldt0(xm, xl)) = sdtasdt0(xl, sdtsldt0(sdtasdt0(xn, xm), xl))],extension(4 ^ 3,bind([[_99546, _99548], [sdtasdt0(xl, sdtsldt0(sdtasdt0(xn, xm), xl)), sdtasdt0(sdtasdt0(xl, xn), sdtsldt0(xm, xl))]]))).
% 102.46/99.65 ncf('1.1.2.1.1',plain,[-(sdtasdt0(sdtasdt0(xl, xn), sdtsldt0(xm, xl)) = sdtasdt0(xl, sdtsldt0(sdtasdt0(xn, xm), xl)))],extension(727 ^ 4)).
% 102.46/99.65 ncf('1.1.2.2',plain,[-(sdtasdt0(sdtasdt0(xl, xn), sdtsldt0(xm, xl)) = sdtasdt0(xl, sdtasdt0(xn, sdtsldt0(xm, xl)))), aNaturalNumber0(xl), aNaturalNumber0(xn), aNaturalNumber0(sdtsldt0(xm, xl))],extension(190 ^ 3,bind([[_105460, _105462, _105464], [sdtsldt0(xm, xl), xn, xl]]))).
% 102.46/99.65 ncf('1.1.2.2.1',plain,[-(aNaturalNumber0(xl))],extension(704 ^ 4)).
% 102.46/99.65 ncf('1.1.2.2.2',plain,[-(aNaturalNumber0(xn))],extension(717 ^ 4)).
% 102.46/99.65 ncf('1.1.2.2.3',plain,[-(aNaturalNumber0(sdtsldt0(xm, xl)))],extension(729 ^ 4)).
% 102.46/99.65 %-----------------------------------------------------
% 102.46/99.65 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------