%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM530+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n002.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 11:44:53 EDT 2023
% Result : Theorem 0.35s 1.39s
% Output : Proof 0.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM530+3 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : nanocop.sh %s %d
% 0.13/0.34 % Computer : n002.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 16:48:34 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.35/1.39
% 0.35/1.39 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.35/1.39 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.39 %-----------------------------------------------------
% 0.35/1.39 ncf(matrix, plain, [(953 ^ _121464) ^ [] : [false___, -(false___)], (82 ^ _121464) ^ [_124176, _124178, _124180, _124182] : [-(sdtmndt0(_124182, _124178) = sdtmndt0(_124180, _124176)), _124182 = _124180, _124178 = _124176], (92 ^ _121464) ^ [_124535, _124537, _124539, _124541] : [-(sdtsldt0(_124541, _124537) = sdtsldt0(_124539, _124535)), _124541 = _124539, _124537 = _124535], (102 ^ _121464) ^ [_124894, _124896, _124898, _124900] : [-(sdtasdt0(_124900, _124896) = sdtasdt0(_124898, _124894)), _124900 = _124898, _124896 = _124894], (112 ^ _121464) ^ [_125233, _125235, _125237, _125239] : [-(sdtpldt0(_125239, _125235) = sdtpldt0(_125237, _125233)), _125239 = _125237, _125235 = _125233], (2 ^ _121464) ^ [_121608] : [-(_121608 = _121608)], (4 ^ _121464) ^ [_121715, _121717] : [_121717 = _121715, -(_121715 = _121717)], (10 ^ _121464) ^ [_121919, _121921, _121923] : [-(_121923 = _121919), _121923 = _121921, _121921 = _121919], (20 ^ _121464) ^ [_122260, _122262, _122264, _122266] : [-(iLess0(_122264, _122260)), iLess0(_122266, _122262), _122266 = _122264, _122262 = _122260], (34 ^ _121464) ^ [_122676, _122678] : [-(isPrime0(_122676)), _122678 = _122676, isPrime0(_122678)], (44 ^ _121464) ^ [_122999, _123001, _123003, _123005] : [-(doDivides0(_123003, _122999)), doDivides0(_123005, _123001), _123005 = _123003, _123001 = _122999], (58 ^ _121464) ^ [_123415, _123417] : [-(aNaturalNumber0(_123415)), _123417 = _123415, aNaturalNumber0(_123417)], (68 ^ _121464) ^ [_123718, _123720, _123722, _123724] : [-(sdtlseqdt0(_123722, _123718)), sdtlseqdt0(_123724, _123720), _123724 = _123722, _123720 = _123718], (122 ^ _121464) ^ [_125564] : [aNaturalNumber0(_125564), true___, -(true___)], (132 ^ _121464) ^ [] : [-(aNaturalNumber0(sz00))], (134 ^ _121464) ^ [] : [-(aNaturalNumber0(sz10))], (136 ^ _121464) ^ [] : [sz10 = sz00], (138 ^ _121464) ^ [_125993, _125995] : [-(aNaturalNumber0(sdtpldt0(_125995, _125993))), aNaturalNumber0(_125995), aNaturalNumber0(_125993)], (148 ^ _121464) ^ [_126292, _126294] : [-(aNaturalNumber0(sdtasdt0(_126294, _126292))), aNaturalNumber0(_126294), aNaturalNumber0(_126292)], (158 ^ _121464) ^ [_126591, _126593] : [-(sdtpldt0(_126593, _126591) = sdtpldt0(_126591, _126593)), aNaturalNumber0(_126593), aNaturalNumber0(_126591)], (168 ^ _121464) ^ [_126912, _126914, _126916] : [-(sdtpldt0(sdtpldt0(_126916, _126914), _126912) = sdtpldt0(_126916, sdtpldt0(_126914, _126912))), aNaturalNumber0(_126916), aNaturalNumber0(_126914), aNaturalNumber0(_126912)], (182 ^ _121464) ^ [_127318] : [aNaturalNumber0(_127318), 185 ^ _121464 : [(186 ^ _121464) ^ [] : [-(sdtpldt0(_127318, sz00) = _127318)], (188 ^ _121464) ^ [] : [-(_127318 = sdtpldt0(sz00, _127318))]]], (190 ^ _121464) ^ [_127605, _127607] : [-(sdtasdt0(_127607, _127605) = sdtasdt0(_127605, _127607)), aNaturalNumber0(_127607), aNaturalNumber0(_127605)], (200 ^ _121464) ^ [_127926, _127928, _127930] : [-(sdtasdt0(sdtasdt0(_127930, _127928), _127926) = sdtasdt0(_127930, sdtasdt0(_127928, _127926))), aNaturalNumber0(_127930), aNaturalNumber0(_127928), aNaturalNumber0(_127926)], (214 ^ _121464) ^ [_128332] : [aNaturalNumber0(_128332), 217 ^ _121464 : [(218 ^ _121464) ^ [] : [-(sdtasdt0(_128332, sz10) = _128332)], (220 ^ _121464) ^ [] : [-(_128332 = sdtasdt0(sz10, _128332))]]], (222 ^ _121464) ^ [_128605] : [aNaturalNumber0(_128605), 225 ^ _121464 : [(226 ^ _121464) ^ [] : [-(sdtasdt0(_128605, sz00) = sz00)], (228 ^ _121464) ^ [] : [-(sz00 = sdtasdt0(sz00, _128605))]]], (230 ^ _121464) ^ [_128906, _128908, _128910] : [241 ^ _121464 : [(242 ^ _121464) ^ [] : [-(sdtasdt0(_128910, sdtpldt0(_128908, _128906)) = sdtpldt0(sdtasdt0(_128910, _128908), sdtasdt0(_128910, _128906)))], (244 ^ _121464) ^ [] : [-(sdtasdt0(sdtpldt0(_128908, _128906), _128910) = sdtpldt0(sdtasdt0(_128908, _128910), sdtasdt0(_128906, _128910)))]], aNaturalNumber0(_128910), aNaturalNumber0(_128908), aNaturalNumber0(_128906)], (246 ^ _121464) ^ [_129453, _129455, _129457] : [259 ^ _121464 : [(260 ^ _121464) ^ [] : [sdtpldt0(_129457, _129455) = sdtpldt0(_129457, _129453)], (262 ^ _121464) ^ [] : [sdtpldt0(_129455, _129457) = sdtpldt0(_129453, _129457)]], -(_129455 = _129453), aNaturalNumber0(_129457), aNaturalNumber0(_129455), aNaturalNumber0(_129453)], (266 ^ _121464) ^ [_130030] : [aNaturalNumber0(_130030), -(_130030 = sz00), 273 ^ _121464 : [(274 ^ _121464) ^ [_130292, _130294] : [aNaturalNumber0(_130294), aNaturalNumber0(_130292), 283 ^ _121464 : [(284 ^ _121464) ^ [] : [sdtasdt0(_130030, _130294) = sdtasdt0(_130030, _130292)], (286 ^ _121464) ^ [] : [sdtasdt0(_130294, _130030) = sdtasdt0(_130292, _130030)]], -(_130294 = _130292)]]], (290 ^ _121464) ^ [_130803, _130805] : [aNaturalNumber0(_130805), aNaturalNumber0(_130803), sdtpldt0(_130805, _130803) = sz00, 301 ^ _121464 : [(302 ^ _121464) ^ [] : [-(_130805 = sz00)], (304 ^ _121464) ^ [] : [-(_130803 = sz00)]]], (306 ^ _121464) ^ [_131270, _131272] : [aNaturalNumber0(_131272), aNaturalNumber0(_131270), sdtasdt0(_131272, _131270) = sz00, -(_131272 = sz00), -(_131270 = sz00)], (324 ^ _121464) ^ [_131752, _131754] : [aNaturalNumber0(_131754), aNaturalNumber0(_131752), 331 ^ _121464 : [(332 ^ _121464) ^ [] : [sdtlseqdt0(_131754, _131752), 336 ^ _121464 : [(337 ^ _121464) ^ [] : [-(aNaturalNumber0(335 ^ [_131752, _131754]))], (339 ^ _121464) ^ [] : [-(sdtpldt0(_131754, 335 ^ [_131752, _131754]) = _131752)]]], (341 ^ _121464) ^ [] : [-(sdtlseqdt0(_131754, _131752)), 342 ^ _121464 : [(343 ^ _121464) ^ [_132312] : [aNaturalNumber0(_132312), sdtpldt0(_131754, _132312) = _131752]]]]], (351 ^ _121464) ^ [_132595, _132597] : [aNaturalNumber0(_132597), aNaturalNumber0(_132595), sdtlseqdt0(_132597, _132595), 362 ^ _121464 : [(363 ^ _121464) ^ [_132942] : [_132942 = sdtmndt0(_132595, _132597), 366 ^ _121464 : [(367 ^ _121464) ^ [] : [-(aNaturalNumber0(_132942))], (369 ^ _121464) ^ [] : [-(sdtpldt0(_132597, _132942) = _132595)]]], (371 ^ _121464) ^ [_133201] : [-(_133201 = sdtmndt0(_132595, _132597)), aNaturalNumber0(_133201), sdtpldt0(_132597, _133201) = _132595]]], (381 ^ _121464) ^ [_133523] : [aNaturalNumber0(_133523), -(sdtlseqdt0(_133523, _133523))], (387 ^ _121464) ^ [_133725, _133727] : [aNaturalNumber0(_133727), aNaturalNumber0(_133725), -(_133727 = _133725), sdtlseqdt0(_133727, _133725), sdtlseqdt0(_133725, _133727)], (405 ^ _121464) ^ [_134214, _134216, _134218] : [aNaturalNumber0(_134218), aNaturalNumber0(_134216), aNaturalNumber0(_134214), -(sdtlseqdt0(_134218, _134214)), sdtlseqdt0(_134218, _134216), sdtlseqdt0(_134216, _134214)], (427 ^ _121464) ^ [_134800, _134802] : [aNaturalNumber0(_134802), aNaturalNumber0(_134800), -(sdtlseqdt0(_134802, _134800)), 438 ^ _121464 : [(439 ^ _121464) ^ [] : [_134800 = _134802], (441 ^ _121464) ^ [] : [-(sdtlseqdt0(_134800, _134802))]]], (443 ^ _121464) ^ [_135263, _135265] : [aNaturalNumber0(_135265), aNaturalNumber0(_135263), -(_135265 = _135263), sdtlseqdt0(_135265, _135263), 458 ^ _121464 : [(459 ^ _121464) ^ [_135707] : [aNaturalNumber0(_135707), 462 ^ _121464 : [(463 ^ _121464) ^ [] : [sdtpldt0(_135707, _135265) = sdtpldt0(_135707, _135263)], (465 ^ _121464) ^ [] : [-(sdtlseqdt0(sdtpldt0(_135707, _135265), sdtpldt0(_135707, _135263)))], (467 ^ _121464) ^ [] : [sdtpldt0(_135265, _135707) = sdtpldt0(_135263, _135707)], (469 ^ _121464) ^ [] : [-(sdtlseqdt0(sdtpldt0(_135265, _135707), sdtpldt0(_135263, _135707)))]]]]], (471 ^ _121464) ^ [_136231, _136233, _136235] : [aNaturalNumber0(_136235), aNaturalNumber0(_136233), aNaturalNumber0(_136231), 494 ^ _121464 : [(495 ^ _121464) ^ [] : [sdtasdt0(_136235, _136233) = sdtasdt0(_136235, _136231)], (497 ^ _121464) ^ [] : [-(sdtlseqdt0(sdtasdt0(_136235, _136233), sdtasdt0(_136235, _136231)))], (499 ^ _121464) ^ [] : [sdtasdt0(_136233, _136235) = sdtasdt0(_136231, _136235)], (501 ^ _121464) ^ [] : [-(sdtlseqdt0(sdtasdt0(_136233, _136235), sdtasdt0(_136231, _136235)))]], -(_136235 = sz00), -(_136233 = _136231), sdtlseqdt0(_136233, _136231)], (503 ^ _121464) ^ [_137181] : [aNaturalNumber0(_137181), -(_137181 = sz00), -(_137181 = sz10), 514 ^ _121464 : [(515 ^ _121464) ^ [] : [sz10 = _137181], (517 ^ _121464) ^ [] : [-(sdtlseqdt0(sz10, _137181))]]], (519 ^ _121464) ^ [_137629, _137631] : [aNaturalNumber0(_137631), aNaturalNumber0(_137629), -(_137631 = sz00), -(sdtlseqdt0(_137629, sdtasdt0(_137629, _137631)))], (533 ^ _121464) ^ [_138024, _138026] : [aNaturalNumber0(_138026), aNaturalNumber0(_138024), iLess0(_138026, _138024), true___, -(true___)], (551 ^ _121464) ^ [_138484, _138486] : [aNaturalNumber0(_138486), aNaturalNumber0(_138484), -(iLess0(_138486, _138484)), -(_138486 = _138484), sdtlseqdt0(_138486, _138484)], (569 ^ _121464) ^ [_138962, _138964] : [aNaturalNumber0(_138964), aNaturalNumber0(_138962), 576 ^ _121464 : [(577 ^ _121464) ^ [] : [doDivides0(_138964, _138962), 581 ^ _121464 : [(582 ^ _121464) ^ [] : [-(aNaturalNumber0(580 ^ [_138962, _138964]))], (584 ^ _121464) ^ [] : [-(_138962 = sdtasdt0(_138964, 580 ^ [_138962, _138964]))]]], (586 ^ _121464) ^ [] : [-(doDivides0(_138964, _138962)), 587 ^ _121464 : [(588 ^ _121464) ^ [_139522] : [aNaturalNumber0(_139522), _138962 = sdtasdt0(_138964, _139522)]]]]], (596 ^ _121464) ^ [_139805, _139807] : [aNaturalNumber0(_139807), aNaturalNumber0(_139805), -(_139807 = sz00), doDivides0(_139807, _139805), 611 ^ _121464 : [(612 ^ _121464) ^ [_140244] : [_140244 = sdtsldt0(_139805, _139807), 615 ^ _121464 : [(616 ^ _121464) ^ [] : [-(aNaturalNumber0(_140244))], (618 ^ _121464) ^ [] : [-(_139805 = sdtasdt0(_139807, _140244))]]], (620 ^ _121464) ^ [_140503] : [-(_140503 = sdtsldt0(_139805, _139807)), aNaturalNumber0(_140503), _139805 = sdtasdt0(_139807, _140503)]]], (630 ^ _121464) ^ [_140855, _140857, _140859] : [aNaturalNumber0(_140859), aNaturalNumber0(_140857), aNaturalNumber0(_140855), -(doDivides0(_140859, _140855)), doDivides0(_140859, _140857), doDivides0(_140857, _140855)], (652 ^ _121464) ^ [_141455, _141457, _141459] : [aNaturalNumber0(_141459), aNaturalNumber0(_141457), aNaturalNumber0(_141455), -(doDivides0(_141459, sdtpldt0(_141457, _141455))), doDivides0(_141459, _141457), doDivides0(_141459, _141455)], (674 ^ _121464) ^ [_142061, _142063, _142065] : [aNaturalNumber0(_142065), aNaturalNumber0(_142063), aNaturalNumber0(_142061), -(doDivides0(_142065, _142061)), doDivides0(_142065, _142063), doDivides0(_142065, sdtpldt0(_142063, _142061))], (696 ^ _121464) ^ [_142653, _142655] : [aNaturalNumber0(_142655), aNaturalNumber0(_142653), -(sdtlseqdt0(_142655, _142653)), doDivides0(_142655, _142653), -(_142653 = sz00)], (714 ^ _121464) ^ [_143131, _143133] : [aNaturalNumber0(_143133), aNaturalNumber0(_143131), -(_143133 = sz00), doDivides0(_143133, _143131), 729 ^ _121464 : [(730 ^ _121464) ^ [_143541] : [aNaturalNumber0(_143541), -(sdtasdt0(_143541, sdtsldt0(_143131, _143133)) = sdtsldt0(sdtasdt0(_143541, _143131), _143133))]]], (736 ^ _121464) ^ [_143782] : [aNaturalNumber0(_143782), 739 ^ _121464 : [(762 ^ _121464) ^ [] : [-(isPrime0(_143782)), -(_143782 = sz00), -(_143782 = sz10), 772 ^ _121464 : [(773 ^ _121464) ^ [] : [-(aNaturalNumber0(771 ^ [_143782]))], (775 ^ _121464) ^ [] : [-(doDivides0(771 ^ [_143782], _143782))], (777 ^ _121464) ^ [] : [771 ^ [_143782] = sz10], (779 ^ _121464) ^ [] : [771 ^ [_143782] = _143782]]], (740 ^ _121464) ^ [] : [isPrime0(_143782), 743 ^ _121464 : [(744 ^ _121464) ^ [] : [_143782 = sz00], (746 ^ _121464) ^ [] : [_143782 = sz10], (748 ^ _121464) ^ [_144174] : [aNaturalNumber0(_144174), doDivides0(_144174, _143782), -(_144174 = sz10), -(_144174 = _143782)]]]]], (783 ^ _121464) ^ [_145126] : [795 ^ _121464 : [(796 ^ _121464) ^ [] : [-(aNaturalNumber0(794 ^ [_145126]))], (798 ^ _121464) ^ [] : [-(doDivides0(794 ^ [_145126], _145126))], (800 ^ _121464) ^ [] : [-(isPrime0(794 ^ [_145126]))]], aNaturalNumber0(_145126), -(_145126 = sz00), -(_145126 = sz10)], (802 ^ _121464) ^ [_145730, _145732, _145734] : [aNaturalNumber0(_145734), aNaturalNumber0(_145732), aNaturalNumber0(_145730), isPrime0(_145730), doDivides0(_145730, sdtasdt0(_145734, _145732)), -(doDivides0(_145730, _145734)), -(doDivides0(_145730, _145732))], (828 ^ _121464) ^ [] : [-(aNaturalNumber0(xn))], (830 ^ _121464) ^ [] : [-(aNaturalNumber0(xm))], (832 ^ _121464) ^ [] : [-(aNaturalNumber0(xp))], (834 ^ _121464) ^ [] : [xn = sz00], (836 ^ _121464) ^ [] : [xm = sz00], (838 ^ _121464) ^ [] : [xp = sz00], (892 ^ _121464) ^ [] : [-(sdtasdt0(xp, sdtasdt0(xm, xm)) = sdtasdt0(xn, xn))], (919 ^ _121464) ^ [] : [-(aNaturalNumber0(917 ^ []))], (921 ^ _121464) ^ [] : [-(sdtasdt0(xn, xn) = sdtasdt0(xp, 917 ^ []))], (923 ^ _121464) ^ [] : [-(doDivides0(xp, sdtasdt0(xn, xn)))], (926 ^ _121464) ^ [] : [-(aNaturalNumber0(924 ^ []))], (928 ^ _121464) ^ [] : [-(xn = sdtasdt0(xp, 924 ^ []))], (930 ^ _121464) ^ [] : [-(doDivides0(xp, xn))], (932 ^ _121464) ^ [] : [-(aNaturalNumber0(xq))], (934 ^ _121464) ^ [] : [-(xn = sdtasdt0(xp, xq))], (936 ^ _121464) ^ [] : [-(xq = sdtsldt0(xn, xp))], (938 ^ _121464) ^ [] : [-(sdtasdt0(xm, xm) = sdtasdt0(xp, sdtasdt0(xq, xq)))], (940 ^ _121464) ^ [] : [xm = xn], (943 ^ _121464) ^ [] : [-(aNaturalNumber0(941 ^ []))], (945 ^ _121464) ^ [] : [-(sdtpldt0(xm, 941 ^ []) = xn)], (947 ^ _121464) ^ [] : [-(sdtlseqdt0(xm, xn))], (949 ^ _121464) ^ [] : [-(true___)], (951 ^ _121464) ^ [] : [true___], (894 ^ _121464) ^ [] : [xp = sz10], (916 ^ _121464) ^ [] : [-(isPrime0(xp))], (896 ^ _121464) ^ [_148543] : [-(_148543 = sz10), -(_148543 = xp), aNaturalNumber0(_148543), 901 ^ _121464 : [(908 ^ _121464) ^ [] : [doDivides0(_148543, xp)], (902 ^ _121464) ^ [_148746] : [aNaturalNumber0(_148746), xp = sdtasdt0(_148543, _148746)]]], (840 ^ _121464) ^ [_146755, _146757, _146759] : [sdtasdt0(_146755, sdtasdt0(_146757, _146757)) = sdtasdt0(_146759, _146759), iLess0(_146759, xn), 871 ^ _121464 : [(890 ^ _121464) ^ [] : [isPrime0(_146755)], (872 ^ _121464) ^ [] : [-(_146755 = sz10), 876 ^ _121464 : [(877 ^ _121464) ^ [] : [-(aNaturalNumber0(875 ^ [_146755, _146757, _146759]))], (880 ^ _121464) ^ [] : [-(aNaturalNumber0(878 ^ [_146755, _146757, _146759]))], (882 ^ _121464) ^ [] : [-(_146755 = sdtasdt0(875 ^ [_146755, _146757, _146759], 878 ^ [_146755, _146757, _146759]))], (884 ^ _121464) ^ [] : [-(doDivides0(875 ^ [_146755, _146757, _146759], _146755))], (886 ^ _121464) ^ [] : [875 ^ [_146755, _146757, _146759] = sz10], (888 ^ _121464) ^ [] : [875 ^ [_146755, _146757, _146759] = _146755]]]], aNaturalNumber0(_146759), aNaturalNumber0(_146757), aNaturalNumber0(_146755), -(_146759 = sz00), -(_146757 = sz00), -(_146755 = sz00)]], input).
% 0.35/1.39 ncf('1',plain,[true___],start(951 ^ 0)).
% 0.35/1.39 ncf('1.1',plain,[-(true___)],extension(949 ^ 1)).
% 0.35/1.39 %-----------------------------------------------------
% 0.35/1.39 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------