TSTP Solution File: NUM857+2 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM857+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n009.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 11:45:49 EDT 2023
% Result : Theorem 69.86s 67.60s
% Output : Proof 69.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM857+2 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu May 18 17:08:32 EDT 2023
% 0.12/0.33 % CPUTime :
% 69.86/67.60
% 69.86/67.60 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 69.86/67.60 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 69.86/67.60 %-----------------------------------------------------
% 69.86/67.60 ncf(matrix, plain, [(498 ^ _122527) ^ [] : [geq(vmul(vd526, vd529), vmul(vd527, vd530))], !, (262 ^ _104241) ^ [_113809, _113811, _113813] : [_113813 = _113811, -(vplus(_113813, _113809) = vplus(_113811, _113809))], (382 ^ _104241) ^ [_117789, _117791] : [_117791 = _117789, less(_117791, _117789)], (456 ^ _104241) ^ [_120606, _120608] : [-(_120608 = _120606), 459 ^ _104241 : [(460 ^ _104241) ^ [_120732] : [vplus(_120732, _120608) = vplus(_120732, _120606)]]], (360 ^ _104241) ^ [_117068, _117070] : [less(_117070, _117068), -(greater(_117068, _117070))], (490 ^ _104241) ^ [_122038, _122040] : [vsucc(_122040) = vsucc(_122038), -(_122040 = _122038)], (92 ^ _104241) ^ [_107334, _107336] : [_107336 = _107334, -(vsucc(_107336) = vsucc(_107334))], (462 ^ _104241) ^ [_120838, _120840] : [_120838 = vplus(_120840, _120838)], (194 ^ _104241) ^ [_111281, _111283] : [greater(_111283, _111281), -(geq(_111283, vplus(_111281, v1)))], (150 ^ _104241) ^ [_109402, _109404, _109406] : [greater(vmul(_109406, _109404), vmul(_109402, _109404)), -(greater(_109406, _109402))], (474 ^ _104241) ^ [_121420, _121422] : [-(vplus(_121422, v1) = vsucc(_121422))], (98 ^ _104241) ^ [_107560, _107562, _107564, _107566] : [-(vmul(_107566, _107562) = vmul(_107564, _107560)), _107566 = _107564, _107562 = _107560], (62 ^ _104241) ^ [_106329, _106331, _106333, _106335] : [-(geq(_106333, _106329)), geq(_106335, _106331), _106335 = _106333, _106331 = _106329], (138 ^ _104241) ^ [_108918, _108920, _108922] : [less(vmul(_108922, _108920), vmul(_108918, _108920)), -(less(_108922, _108918))], (174 ^ _104241) ^ [_110355, _110357, _110359] : [-(vmul(vmul(_110359, _110357), _110355) = vmul(_110359, vmul(_110357, _110355)))], (200 ^ _104241) ^ [_111468] : [-(geq(_111468, v1))], (256 ^ _104241) ^ [_113567, _113569, _113571] : [less(_113571, _113569), -(less(vplus(_113571, _113567), vplus(_113569, _113567)))], (110 ^ _104241) ^ [] : [-(geq(vd526, vd527))], (268 ^ _104241) ^ [_114051, _114053, _114055] : [greater(_114055, _114053), -(greater(vplus(_114055, _114051), vplus(_114053, _114051)))], (450 ^ _104241) ^ [_120365, _120367] : [_120367 = _120365, 453 ^ _104241 : [(454 ^ _104241) ^ [_120487] : [_120367 = vplus(_120365, _120487)]]], (352 ^ _104241) ^ [_116782, _116784] : [353 ^ _104241 : [(356 ^ _104241) ^ [] : [_116782 = _116784], (354 ^ _104241) ^ [] : [greater(_116782, _116784)]], -(geq(_116782, _116784))], (426 ^ _104241) ^ [_119422, _119424] : [-(_119424 = _119422), -(_119424 = vplus(_119422, 431 ^ [_119422, _119424])), -(_119422 = vplus(_119424, 434 ^ [_119422, _119424]))], (182 ^ _104241) ^ [_110779] : [-(vmul(v1, _110779) = _110779)], (162 ^ _104241) ^ [_109886, _109888, _109890] : [_109888 = _109886, -(vmul(_109888, _109890) = vmul(_109886, _109890))], (212 ^ _104241) ^ [_111962, _111964, _111966, _111968] : [-(greater(vplus(_111968, _111964), vplus(_111966, _111962))), 213 ^ _104241 : [(220 ^ _104241) ^ [] : [geq(_111964, _111962), greater(_111968, _111966)], (214 ^ _104241) ^ [] : [greater(_111964, _111962), geq(_111968, _111966)]]], (400 ^ _104241) ^ [_118457, _118459] : [less(_118457, _118459), -(_118459 = vplus(_118457, 403 ^ [_118457, _118459]))], (388 ^ _104241) ^ [_118002, _118004] : [greater(_118004, _118002), less(_118004, _118002)], (176 ^ _104241) ^ [_110477, _110479, _110481] : [-(vmul(_110481, vplus(_110479, _110477)) = vplus(vmul(_110481, _110479), vmul(_110481, _110477)))], (86 ^ _104241) ^ [_107116, _107118] : [_107118 = _107116, -(vskolem2(_107118) = vskolem2(_107116))], (302 ^ _104241) ^ [_115205, _115207, _115209] : [-(less(_115209, _115205)), less(_115207, _115205), less(_115209, _115207)], (286 ^ _104241) ^ [_114713, _114715, _114717] : [-(less(_114717, _114713)), 287 ^ _104241 : [(294 ^ _104241) ^ [] : [leq(_114715, _114713), less(_114717, _114715)], (288 ^ _104241) ^ [] : [less(_114715, _114713), leq(_114717, _114715)]]], (184 ^ _104241) ^ [_110894, _110896] : [-(vmul(_110896, vsucc(_110894)) = vplus(vmul(_110896, _110894), _110896))], (444 ^ _104241) ^ [_120096, _120098] : [445 ^ _104241 : [(446 ^ _104241) ^ [_120181] : [_120098 = vplus(_120096, _120181)]], 447 ^ _104241 : [(448 ^ _104241) ^ [_120245] : [_120096 = vplus(_120098, _120245)]]], (48 ^ _104241) ^ [_105905, _105907, _105909, _105911] : [-(greater(_105909, _105905)), greater(_105911, _105907), _105911 = _105909, _105907 = _105905], (482 ^ _104241) ^ [_121707] : [vsucc(_121707) = _121707], (2 ^ _104241) ^ [_104365] : [-(_104365 = _104365)], (420 ^ _104241) ^ [_119182, _119184] : [421 ^ _104241 : [(422 ^ _104241) ^ [_119255] : [_119182 = vplus(_119184, _119255)]], -(greater(_119182, _119184))], (144 ^ _104241) ^ [_109160, _109162, _109164] : [vmul(_109164, _109162) = vmul(_109160, _109162), -(_109164 = _109160)], (20 ^ _104241) ^ [_105017, _105019, _105021, _105023] : [-(leq(_105021, _105017)), leq(_105023, _105019), _105023 = _105021, _105019 = _105017], (366 ^ _104241) ^ [_117278, _117280] : [greater(_117280, _117278), -(less(_117278, _117280))], (470 ^ _104241) ^ [_121236, _121238, _121240] : [-(vplus(vplus(_121240, _121238), _121236) = vplus(_121240, vplus(_121238, _121236)))], (496 ^ _104241) ^ [_122206] : [vsucc(_122206) = v1], (334 ^ _104241) ^ [_116215, _116217] : [335 ^ _104241 : [(338 ^ _104241) ^ [] : [_116215 = _116217], (336 ^ _104241) ^ [] : [less(_116215, _116217)]], -(leq(_116215, _116217))], (250 ^ _104241) ^ [_113325, _113327, _113329] : [greater(vplus(_113329, _113325), vplus(_113327, _113325)), -(greater(_113329, _113327))], (76 ^ _104241) ^ [_106785, _106787, _106789, _106791] : [-(vplus(_106791, _106787) = vplus(_106789, _106785)), _106791 = _106789, _106787 = _106785], (312 ^ _104241) ^ [_115514, _115516] : [leq(_115516, _115514), -(geq(_115514, _115516))], (413 ^ _104241) ^ [_118954, _118956] : [greater(_118954, _118956), -(_118954 = vplus(_118956, 416 ^ [_118954, _118956]))], (128 ^ _104241) ^ [_108573, _108575, _108577, _108579] : [-(greater(vmul(_108579, _108575), vmul(_108577, _108573))), greater(_108575, _108573), greater(_108579, _108577)], (394 ^ _104241) ^ [_118215, _118217] : [_118217 = _118215, greater(_118217, _118215)], (372 ^ _104241) ^ [_117488, _117490] : [-(_117490 = _117488), -(greater(_117490, _117488)), -(less(_117490, _117488))], (178 ^ _104241) ^ [_110588, _110590] : [-(vmul(_110590, _110588) = vmul(_110588, _110590))], (472 ^ _104241) ^ [_121364, _121366] : [-(vplus(_121366, vsucc(_121364)) = vsucc(vplus(_121366, _121364)))], (476 ^ _104241) ^ [_121522] : [-(_121522 = v1), -(_121522 = vsucc(vskolem2(_121522)))], (276 ^ _104241) ^ [_114390, _114392, _114394] : [-(leq(_114394, _114390)), leq(_114392, _114390), leq(_114394, _114392)], (34 ^ _104241) ^ [_105461, _105463, _105465, _105467] : [-(less(_105465, _105461)), less(_105467, _105463), _105467 = _105465, _105463 = _105461], (202 ^ _104241) ^ [_111603, _111605, _111607, _111609] : [-(geq(vplus(_111609, _111605), vplus(_111607, _111603))), geq(_111605, _111603), geq(_111609, _111607)], (112 ^ _104241) ^ [_108039, _108041, _108043, _108045] : [-(greater(vmul(_108045, _108041), vmul(_108043, _108039))), 113 ^ _104241 : [(120 ^ _104241) ^ [] : [geq(_108041, _108039), greater(_108045, _108043)], (114 ^ _104241) ^ [] : [greater(_108041, _108039), geq(_108045, _108043)]]], (464 ^ _104241) ^ [_120935, _120937] : [-(vplus(_120935, _120937) = vplus(_120937, _120935))], (466 ^ _104241) ^ [_121035, _121037] : [-(vplus(vsucc(_121037), _121035) = vsucc(vplus(_121037, _121035)))], (342 ^ _104241) ^ [_116530, _116532] : [geq(_116530, _116532), -(greater(_116530, _116532)), -(_116530 = _116532)], (4 ^ _104241) ^ [_104472, _104474] : [_104474 = _104472, -(_104472 = _104474)], (186 ^ _104241) ^ [_110951, _110953] : [-(vmul(_110953, v1) = _110953)], (407 ^ _104241) ^ [_118685, _118687] : [408 ^ _104241 : [(409 ^ _104241) ^ [_118758] : [_118687 = vplus(_118685, _118758)]], -(less(_118685, _118687))], (180 ^ _104241) ^ [_110688, _110690] : [-(vmul(vsucc(_110690), _110688) = vplus(vmul(_110690, _110688), _110688))], (318 ^ _104241) ^ [_115724, _115726] : [geq(_115726, _115724), -(leq(_115724, _115726))], (156 ^ _104241) ^ [_109644, _109646, _109648] : [less(_109646, _109644), -(less(vmul(_109646, _109648), vmul(_109644, _109648)))], (108 ^ _104241) ^ [] : [-(geq(vd529, vd530))], (484 ^ _104241) ^ [_121816, _121818] : [-(_121818 = _121816), vsucc(_121818) = vsucc(_121816)], (188 ^ _104241) ^ [_111065, _111067] : [less(_111067, vplus(_111065, v1)), -(leq(_111067, _111065))], (228 ^ _104241) ^ [_112496, _112498, _112500, _112502] : [-(greater(vplus(_112502, _112498), vplus(_112500, _112496))), greater(_112498, _112496), greater(_112502, _112500)], (324 ^ _104241) ^ [_115963, _115965] : [leq(_115963, _115965), -(less(_115963, _115965)), -(_115963 = _115965)], (274 ^ _104241) ^ [_114264, _114266] : [-(greater(vplus(_114266, _114264), _114266))], (244 ^ _104241) ^ [_113083, _113085, _113087] : [vplus(_113087, _113083) = vplus(_113085, _113083), -(_113087 = _113085)], (10 ^ _104241) ^ [_104676, _104678, _104680] : [-(_104680 = _104676), _104680 = _104678, _104678 = _104676], (238 ^ _104241) ^ [_112841, _112843, _112845] : [less(vplus(_112845, _112841), vplus(_112843, _112841)), -(less(_112845, _112843))], (438 ^ _104241) ^ [_119855, _119857] : [_119857 = _119855, 441 ^ _104241 : [(442 ^ _104241) ^ [_119977] : [_119855 = vplus(_119857, _119977)]]], (468 ^ _104241) ^ [_121125] : [-(vplus(v1, _121125) = vsucc(_121125))], (168 ^ _104241) ^ [_110128, _110130, _110132] : [greater(_110130, _110128), -(greater(vmul(_110130, _110132), vmul(_110128, _110132)))]], input).
% 69.86/67.60 ncf('1',plain,[geq(vmul(vd526, vd529), vmul(vd527, vd530))],start(498 ^ 0)).
% 69.86/67.60 ncf('1.1',plain,[-(geq(vmul(vd526, vd529), vmul(vd527, vd530))), 354 : greater(vmul(vd526, vd529), vmul(vd527, vd530))],extension(352 ^ 1,bind([[_116782, _116784], [vmul(vd526, vd529), vmul(vd527, vd530)]]))).
% 69.86/67.60 ncf('1.1.1',plain,[-(greater(vmul(vd526, vd529), vmul(vd527, vd530))), 120 : geq(vd529, vd530), 120 : greater(vd526, vd527)],extension(112 ^ 4,bind([[_108039, _108041, _108043, _108045], [vd530, vd529, vd527, vd526]]))).
% 69.86/67.60 ncf('1.1.1.1',plain,[-(geq(vd529, vd530))],extension(108 ^ 7)).
% 69.86/67.60 ncf('1.1.1.2',plain,[-(greater(vd526, vd527)), -(vd526 = vd527), -(less(vd526, vd527))],extension(372 ^ 7,bind([[_117488, _117490], [vd527, vd526]]))).
% 69.86/67.60 ncf('1.1.1.2.1',plain,[vd526 = vd527, -(vmul(vd526, vd529) = vmul(vd527, vd530)), vd529 = vd530],extension(98 ^ 8,bind([[_107560, _107562, _107564, _107566], [vd530, vd529, vd527, vd526]]))).
% 69.86/67.60 ncf('1.1.1.2.1.1',plain,[vmul(vd526, vd529) = vmul(vd527, vd530)],extension(356 ^ 9)).
% 69.86/67.60 ncf('1.1.1.2.1.2',plain,[-(vd529 = vd530), geq(vd529, vd530), -(greater(vd529, vd530))],extension(342 ^ 9,bind([[_116530, _116532], [vd529, vd530]]))).
% 69.86/67.60 ncf('1.1.1.2.1.2.1',plain,[-(geq(vd529, vd530))],lemmata('[1, 1].x')).
% 69.86/67.60 ncf('1.1.1.2.1.2.2',plain,[greater(vd529, vd530), geq(vd526, vd527)],extension(114 ^ 10)).
% 69.86/67.60 ncf('1.1.1.2.1.2.2.1',plain,[-(geq(vd526, vd527))],extension(110 ^ 11)).
% 69.86/67.60 ncf('1.1.1.2.2',plain,[less(vd526, vd527), vd526 = vd527],extension(382 ^ 8,bind([[_117789, _117791], [vd527, vd526]]))).
% 69.86/67.60 ncf('1.1.1.2.2.1',plain,[-(vd526 = vd527), geq(vd526, vd527), -(greater(vd526, vd527))],extension(342 ^ 9,bind([[_116530, _116532], [vd526, vd527]]))).
% 69.86/67.60 ncf('1.1.1.2.2.1.1',plain,[-(geq(vd526, vd527))],extension(110 ^ 10)).
% 69.86/67.60 ncf('1.1.1.2.2.1.2',plain,[greater(vd526, vd527)],reduction('1.1.1')).
% 69.86/67.60 %-----------------------------------------------------
% 69.86/67.60 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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