%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM484+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n017.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 11:44:45 EDT 2023
% Result : Theorem 0.32s 1.36s
% Output : Proof 0.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : NUM484+1 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.12 % Command : nanocop.sh %s %d
% 0.12/0.32 % Computer : n017.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Thu May 18 17:06:45 EDT 2023
% 0.12/0.32 % CPUTime :
% 0.32/1.36
% 0.32/1.36 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.32/1.36 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.32/1.36 %-----------------------------------------------------
% 0.32/1.36 ncf(matrix, plain, [(816 ^ _102961) ^ [_127790] : [aNaturalNumber0(_127790), doDivides0(_127790, xk), isPrime0(_127790)], (82 ^ _102961) ^ [_105673, _105675, _105677, _105679] : [-(sdtmndt0(_105679, _105675) = sdtmndt0(_105677, _105673)), _105679 = _105677, _105675 = _105673], (92 ^ _102961) ^ [_106032, _106034, _106036, _106038] : [-(sdtpldt0(_106038, _106034) = sdtpldt0(_106036, _106032)), _106038 = _106036, _106034 = _106032], (102 ^ _102961) ^ [_106391, _106393, _106395, _106397] : [-(sdtsldt0(_106397, _106393) = sdtsldt0(_106395, _106391)), _106397 = _106395, _106393 = _106391], (112 ^ _102961) ^ [_106730, _106732, _106734, _106736] : [-(sdtasdt0(_106736, _106732) = sdtasdt0(_106734, _106730)), _106736 = _106734, _106732 = _106730], (2 ^ _102961) ^ [_103105] : [-(_103105 = _103105)], (4 ^ _102961) ^ [_103212, _103214] : [_103214 = _103212, -(_103212 = _103214)], (10 ^ _102961) ^ [_103416, _103418, _103420] : [-(_103420 = _103416), _103420 = _103418, _103418 = _103416], (20 ^ _102961) ^ [_103757, _103759, _103761, _103763] : [-(sdtlseqdt0(_103761, _103757)), sdtlseqdt0(_103763, _103759), _103763 = _103761, _103759 = _103757], (34 ^ _102961) ^ [_104201, _104203, _104205, _104207] : [-(iLess0(_104205, _104201)), iLess0(_104207, _104203), _104207 = _104205, _104203 = _104201], (48 ^ _102961) ^ [_104617, _104619] : [-(aNaturalNumber0(_104617)), _104619 = _104617, aNaturalNumber0(_104619)], (72 ^ _102961) ^ [_105336, _105338] : [-(isPrime0(_105336)), _105338 = _105336, isPrime0(_105338)], (58 ^ _102961) ^ [_104940, _104942, _104944, _104946] : [-(doDivides0(_104944, _104940)), doDivides0(_104946, _104942), _104946 = _104944, _104942 = _104940], (122 ^ _102961) ^ [_107061] : [aNaturalNumber0(_107061), true___, -(true___)], (132 ^ _102961) ^ [] : [-(aNaturalNumber0(sz00))], (134 ^ _102961) ^ [] : [-(aNaturalNumber0(sz10))], (136 ^ _102961) ^ [] : [sz10 = sz00], (138 ^ _102961) ^ [_107490, _107492] : [-(aNaturalNumber0(sdtpldt0(_107492, _107490))), aNaturalNumber0(_107492), aNaturalNumber0(_107490)], (148 ^ _102961) ^ [_107789, _107791] : [-(aNaturalNumber0(sdtasdt0(_107791, _107789))), aNaturalNumber0(_107791), aNaturalNumber0(_107789)], (158 ^ _102961) ^ [_108088, _108090] : [-(sdtpldt0(_108090, _108088) = sdtpldt0(_108088, _108090)), aNaturalNumber0(_108090), aNaturalNumber0(_108088)], (168 ^ _102961) ^ [_108409, _108411, _108413] : [-(sdtpldt0(sdtpldt0(_108413, _108411), _108409) = sdtpldt0(_108413, sdtpldt0(_108411, _108409))), aNaturalNumber0(_108413), aNaturalNumber0(_108411), aNaturalNumber0(_108409)], (182 ^ _102961) ^ [_108815] : [aNaturalNumber0(_108815), 185 ^ _102961 : [(186 ^ _102961) ^ [] : [-(sdtpldt0(_108815, sz00) = _108815)], (188 ^ _102961) ^ [] : [-(_108815 = sdtpldt0(sz00, _108815))]]], (190 ^ _102961) ^ [_109102, _109104] : [-(sdtasdt0(_109104, _109102) = sdtasdt0(_109102, _109104)), aNaturalNumber0(_109104), aNaturalNumber0(_109102)], (200 ^ _102961) ^ [_109423, _109425, _109427] : [-(sdtasdt0(sdtasdt0(_109427, _109425), _109423) = sdtasdt0(_109427, sdtasdt0(_109425, _109423))), aNaturalNumber0(_109427), aNaturalNumber0(_109425), aNaturalNumber0(_109423)], (214 ^ _102961) ^ [_109829] : [aNaturalNumber0(_109829), 217 ^ _102961 : [(218 ^ _102961) ^ [] : [-(sdtasdt0(_109829, sz10) = _109829)], (220 ^ _102961) ^ [] : [-(_109829 = sdtasdt0(sz10, _109829))]]], (222 ^ _102961) ^ [_110102] : [aNaturalNumber0(_110102), 225 ^ _102961 : [(226 ^ _102961) ^ [] : [-(sdtasdt0(_110102, sz00) = sz00)], (228 ^ _102961) ^ [] : [-(sz00 = sdtasdt0(sz00, _110102))]]], (230 ^ _102961) ^ [_110403, _110405, _110407] : [241 ^ _102961 : [(242 ^ _102961) ^ [] : [-(sdtasdt0(_110407, sdtpldt0(_110405, _110403)) = sdtpldt0(sdtasdt0(_110407, _110405), sdtasdt0(_110407, _110403)))], (244 ^ _102961) ^ [] : [-(sdtasdt0(sdtpldt0(_110405, _110403), _110407) = sdtpldt0(sdtasdt0(_110405, _110407), sdtasdt0(_110403, _110407)))]], aNaturalNumber0(_110407), aNaturalNumber0(_110405), aNaturalNumber0(_110403)], (246 ^ _102961) ^ [_110950, _110952, _110954] : [259 ^ _102961 : [(260 ^ _102961) ^ [] : [sdtpldt0(_110954, _110952) = sdtpldt0(_110954, _110950)], (262 ^ _102961) ^ [] : [sdtpldt0(_110952, _110954) = sdtpldt0(_110950, _110954)]], -(_110952 = _110950), aNaturalNumber0(_110954), aNaturalNumber0(_110952), aNaturalNumber0(_110950)], (266 ^ _102961) ^ [_111527] : [aNaturalNumber0(_111527), -(_111527 = sz00), 273 ^ _102961 : [(274 ^ _102961) ^ [_111789, _111791] : [aNaturalNumber0(_111791), aNaturalNumber0(_111789), 283 ^ _102961 : [(284 ^ _102961) ^ [] : [sdtasdt0(_111527, _111791) = sdtasdt0(_111527, _111789)], (286 ^ _102961) ^ [] : [sdtasdt0(_111791, _111527) = sdtasdt0(_111789, _111527)]], -(_111791 = _111789)]]], (290 ^ _102961) ^ [_112300, _112302] : [aNaturalNumber0(_112302), aNaturalNumber0(_112300), sdtpldt0(_112302, _112300) = sz00, 301 ^ _102961 : [(302 ^ _102961) ^ [] : [-(_112302 = sz00)], (304 ^ _102961) ^ [] : [-(_112300 = sz00)]]], (306 ^ _102961) ^ [_112767, _112769] : [aNaturalNumber0(_112769), aNaturalNumber0(_112767), sdtasdt0(_112769, _112767) = sz00, -(_112769 = sz00), -(_112767 = sz00)], (324 ^ _102961) ^ [_113249, _113251] : [aNaturalNumber0(_113251), aNaturalNumber0(_113249), 331 ^ _102961 : [(332 ^ _102961) ^ [] : [sdtlseqdt0(_113251, _113249), 336 ^ _102961 : [(337 ^ _102961) ^ [] : [-(aNaturalNumber0(335 ^ [_113249, _113251]))], (339 ^ _102961) ^ [] : [-(sdtpldt0(_113251, 335 ^ [_113249, _113251]) = _113249)]]], (341 ^ _102961) ^ [] : [-(sdtlseqdt0(_113251, _113249)), 342 ^ _102961 : [(343 ^ _102961) ^ [_113809] : [aNaturalNumber0(_113809), sdtpldt0(_113251, _113809) = _113249]]]]], (351 ^ _102961) ^ [_114092, _114094] : [aNaturalNumber0(_114094), aNaturalNumber0(_114092), sdtlseqdt0(_114094, _114092), 362 ^ _102961 : [(363 ^ _102961) ^ [_114439] : [_114439 = sdtmndt0(_114092, _114094), 366 ^ _102961 : [(367 ^ _102961) ^ [] : [-(aNaturalNumber0(_114439))], (369 ^ _102961) ^ [] : [-(sdtpldt0(_114094, _114439) = _114092)]]], (371 ^ _102961) ^ [_114698] : [-(_114698 = sdtmndt0(_114092, _114094)), aNaturalNumber0(_114698), sdtpldt0(_114094, _114698) = _114092]]], (381 ^ _102961) ^ [_115020] : [aNaturalNumber0(_115020), -(sdtlseqdt0(_115020, _115020))], (387 ^ _102961) ^ [_115222, _115224] : [aNaturalNumber0(_115224), aNaturalNumber0(_115222), -(_115224 = _115222), sdtlseqdt0(_115224, _115222), sdtlseqdt0(_115222, _115224)], (405 ^ _102961) ^ [_115711, _115713, _115715] : [aNaturalNumber0(_115715), aNaturalNumber0(_115713), aNaturalNumber0(_115711), -(sdtlseqdt0(_115715, _115711)), sdtlseqdt0(_115715, _115713), sdtlseqdt0(_115713, _115711)], (427 ^ _102961) ^ [_116297, _116299] : [aNaturalNumber0(_116299), aNaturalNumber0(_116297), -(sdtlseqdt0(_116299, _116297)), 438 ^ _102961 : [(439 ^ _102961) ^ [] : [_116297 = _116299], (441 ^ _102961) ^ [] : [-(sdtlseqdt0(_116297, _116299))]]], (443 ^ _102961) ^ [_116760, _116762] : [aNaturalNumber0(_116762), aNaturalNumber0(_116760), -(_116762 = _116760), sdtlseqdt0(_116762, _116760), 458 ^ _102961 : [(459 ^ _102961) ^ [_117204] : [aNaturalNumber0(_117204), 462 ^ _102961 : [(463 ^ _102961) ^ [] : [sdtpldt0(_117204, _116762) = sdtpldt0(_117204, _116760)], (465 ^ _102961) ^ [] : [-(sdtlseqdt0(sdtpldt0(_117204, _116762), sdtpldt0(_117204, _116760)))], (467 ^ _102961) ^ [] : [sdtpldt0(_116762, _117204) = sdtpldt0(_116760, _117204)], (469 ^ _102961) ^ [] : [-(sdtlseqdt0(sdtpldt0(_116762, _117204), sdtpldt0(_116760, _117204)))]]]]], (471 ^ _102961) ^ [_117728, _117730, _117732] : [aNaturalNumber0(_117732), aNaturalNumber0(_117730), aNaturalNumber0(_117728), 494 ^ _102961 : [(495 ^ _102961) ^ [] : [sdtasdt0(_117732, _117730) = sdtasdt0(_117732, _117728)], (497 ^ _102961) ^ [] : [-(sdtlseqdt0(sdtasdt0(_117732, _117730), sdtasdt0(_117732, _117728)))], (499 ^ _102961) ^ [] : [sdtasdt0(_117730, _117732) = sdtasdt0(_117728, _117732)], (501 ^ _102961) ^ [] : [-(sdtlseqdt0(sdtasdt0(_117730, _117732), sdtasdt0(_117728, _117732)))]], -(_117732 = sz00), -(_117730 = _117728), sdtlseqdt0(_117730, _117728)], (503 ^ _102961) ^ [_118678] : [aNaturalNumber0(_118678), -(_118678 = sz00), -(_118678 = sz10), 514 ^ _102961 : [(515 ^ _102961) ^ [] : [sz10 = _118678], (517 ^ _102961) ^ [] : [-(sdtlseqdt0(sz10, _118678))]]], (519 ^ _102961) ^ [_119126, _119128] : [aNaturalNumber0(_119128), aNaturalNumber0(_119126), -(_119128 = sz00), -(sdtlseqdt0(_119126, sdtasdt0(_119126, _119128)))], (533 ^ _102961) ^ [_119521, _119523] : [aNaturalNumber0(_119523), aNaturalNumber0(_119521), iLess0(_119523, _119521), true___, -(true___)], (551 ^ _102961) ^ [_119981, _119983] : [aNaturalNumber0(_119983), aNaturalNumber0(_119981), -(iLess0(_119983, _119981)), -(_119983 = _119981), sdtlseqdt0(_119983, _119981)], (569 ^ _102961) ^ [_120459, _120461] : [aNaturalNumber0(_120461), aNaturalNumber0(_120459), 576 ^ _102961 : [(577 ^ _102961) ^ [] : [doDivides0(_120461, _120459), 581 ^ _102961 : [(582 ^ _102961) ^ [] : [-(aNaturalNumber0(580 ^ [_120459, _120461]))], (584 ^ _102961) ^ [] : [-(_120459 = sdtasdt0(_120461, 580 ^ [_120459, _120461]))]]], (586 ^ _102961) ^ [] : [-(doDivides0(_120461, _120459)), 587 ^ _102961 : [(588 ^ _102961) ^ [_121019] : [aNaturalNumber0(_121019), _120459 = sdtasdt0(_120461, _121019)]]]]], (596 ^ _102961) ^ [_121302, _121304] : [aNaturalNumber0(_121304), aNaturalNumber0(_121302), -(_121304 = sz00), doDivides0(_121304, _121302), 611 ^ _102961 : [(612 ^ _102961) ^ [_121741] : [_121741 = sdtsldt0(_121302, _121304), 615 ^ _102961 : [(616 ^ _102961) ^ [] : [-(aNaturalNumber0(_121741))], (618 ^ _102961) ^ [] : [-(_121302 = sdtasdt0(_121304, _121741))]]], (620 ^ _102961) ^ [_122000] : [-(_122000 = sdtsldt0(_121302, _121304)), aNaturalNumber0(_122000), _121302 = sdtasdt0(_121304, _122000)]]], (630 ^ _102961) ^ [_122352, _122354, _122356] : [aNaturalNumber0(_122356), aNaturalNumber0(_122354), aNaturalNumber0(_122352), -(doDivides0(_122356, _122352)), doDivides0(_122356, _122354), doDivides0(_122354, _122352)], (652 ^ _102961) ^ [_122952, _122954, _122956] : [aNaturalNumber0(_122956), aNaturalNumber0(_122954), aNaturalNumber0(_122952), -(doDivides0(_122956, sdtpldt0(_122954, _122952))), doDivides0(_122956, _122954), doDivides0(_122956, _122952)], (674 ^ _102961) ^ [_123558, _123560, _123562] : [aNaturalNumber0(_123562), aNaturalNumber0(_123560), aNaturalNumber0(_123558), -(doDivides0(_123562, _123558)), doDivides0(_123562, _123560), doDivides0(_123562, sdtpldt0(_123560, _123558))], (696 ^ _102961) ^ [_124150, _124152] : [aNaturalNumber0(_124152), aNaturalNumber0(_124150), -(sdtlseqdt0(_124152, _124150)), doDivides0(_124152, _124150), -(_124150 = sz00)], (714 ^ _102961) ^ [_124628, _124630] : [aNaturalNumber0(_124630), aNaturalNumber0(_124628), -(_124630 = sz00), doDivides0(_124630, _124628), 729 ^ _102961 : [(730 ^ _102961) ^ [_125038] : [aNaturalNumber0(_125038), -(sdtasdt0(_125038, sdtsldt0(_124628, _124630)) = sdtsldt0(sdtasdt0(_125038, _124628), _124630))]]], (783 ^ _102961) ^ [] : [-(aNaturalNumber0(xk))], (808 ^ _102961) ^ [] : [xk = sz00], (810 ^ _102961) ^ [] : [xk = sz10], (812 ^ _102961) ^ [] : [isPrime0(xk)], (814 ^ _102961) ^ [] : [-(isPrime0(xk))], (785 ^ _102961) ^ [_126676] : [iLess0(_126676, xk), 801 ^ _102961 : [(802 ^ _102961) ^ [] : [-(aNaturalNumber0(800 ^ [_126676]))], (804 ^ _102961) ^ [] : [-(doDivides0(800 ^ [_126676], _126676))], (806 ^ _102961) ^ [] : [-(isPrime0(800 ^ [_126676]))]], aNaturalNumber0(_126676), -(_126676 = sz00), -(_126676 = sz10)], (736 ^ _102961) ^ [_125279] : [aNaturalNumber0(_125279), 739 ^ _102961 : [(762 ^ _102961) ^ [] : [-(isPrime0(_125279)), -(_125279 = sz00), -(_125279 = sz10), 772 ^ _102961 : [(773 ^ _102961) ^ [] : [-(aNaturalNumber0(771 ^ [_125279]))], (775 ^ _102961) ^ [] : [-(doDivides0(771 ^ [_125279], _125279))], (777 ^ _102961) ^ [] : [771 ^ [_125279] = sz10], (779 ^ _102961) ^ [] : [771 ^ [_125279] = _125279]]], (740 ^ _102961) ^ [] : [isPrime0(_125279), 743 ^ _102961 : [(744 ^ _102961) ^ [] : [_125279 = sz00], (746 ^ _102961) ^ [] : [_125279 = sz10], (748 ^ _102961) ^ [_125671] : [aNaturalNumber0(_125671), doDivides0(_125671, _125279), -(_125671 = sz10), -(_125671 = _125279)]]]]]], input).
% 0.32/1.36 ncf('1',plain,[isPrime0(xk)],start(812 ^ 0)).
% 0.32/1.36 ncf('1.1',plain,[-(isPrime0(xk))],extension(814 ^ 1)).
% 0.32/1.36 %-----------------------------------------------------
% 0.32/1.36 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------