TSTP Solution File: NUM856+2 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM856+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n001.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 11:45:48 EDT 2023
% Result : Theorem 45.88s 44.81s
% Output : Proof 45.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM856+2 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13 % Command : nanocop.sh %s %d
% 0.13/0.33 % Computer : n001.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu May 18 17:14:34 EDT 2023
% 0.13/0.34 % CPUTime :
% 45.88/44.81
% 45.88/44.81 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 45.88/44.81 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 45.88/44.81 %-----------------------------------------------------
% 45.88/44.81 ncf(matrix, plain, [(488 ^ _122219) ^ [] : [greater(vmul(vd517, vd519), vmul(vd518, vd520))], !, (170 ^ _104353) ^ [_110392, _110394] : [-(vmul(vsucc(_110394), _110392) = vplus(vmul(_110394, _110392), _110392))], (2 ^ _104353) ^ [_104477] : [-(_104477 = _104477)], (218 ^ _104353) ^ [_112200, _112202, _112204, _112206] : [-(greater(vplus(_112206, _112202), vplus(_112204, _112200))), greater(_112202, _112200), greater(_112206, _112204)], (292 ^ _104353) ^ [_114909, _114911, _114913] : [-(less(_114913, _114909)), less(_114911, _114909), less(_114913, _114911)], (390 ^ _104353) ^ [_118161, _118163] : [less(_118161, _118163), -(_118163 = vplus(_118161, 393 ^ [_118161, _118163]))], (240 ^ _104353) ^ [_113029, _113031, _113033] : [greater(vplus(_113033, _113029), vplus(_113031, _113029)), -(greater(_113033, _113031))], (246 ^ _104353) ^ [_113271, _113273, _113275] : [less(_113275, _113273), -(less(vplus(_113275, _113271), vplus(_113273, _113271)))], (252 ^ _104353) ^ [_113513, _113515, _113517] : [_113517 = _113515, -(vplus(_113517, _113513) = vplus(_113515, _113513))], (378 ^ _104353) ^ [_117706, _117708] : [greater(_117708, _117706), less(_117708, _117706)], (258 ^ _104353) ^ [_113755, _113757, _113759] : [greater(_113759, _113757), -(greater(vplus(_113759, _113755), vplus(_113757, _113755)))], (342 ^ _104353) ^ [_116486, _116488] : [343 ^ _104353 : [(346 ^ _104353) ^ [] : [_116486 = _116488], (344 ^ _104353) ^ [] : [greater(_116486, _116488)]], -(geq(_116486, _116488))], (356 ^ _104353) ^ [_116982, _116984] : [greater(_116984, _116982), -(less(_116982, _116984))], (164 ^ _104353) ^ [_110059, _110061, _110063] : [-(vmul(vmul(_110063, _110061), _110059) = vmul(_110063, vmul(_110061, _110059)))], (302 ^ _104353) ^ [_115218, _115220] : [leq(_115220, _115218), -(geq(_115218, _115220))], (176 ^ _104353) ^ [_110655, _110657] : [-(vmul(_110657, v1) = _110657)], (168 ^ _104353) ^ [_110292, _110294] : [-(vmul(_110294, _110292) = vmul(_110292, _110294))], (62 ^ _104353) ^ [_106441, _106443, _106445, _106447] : [-(greater(_106445, _106441)), greater(_106447, _106443), _106447 = _106445, _106443 = _106441], (118 ^ _104353) ^ [_108277, _108279, _108281, _108283] : [-(greater(vmul(_108283, _108279), vmul(_108281, _108277))), greater(_108279, _108277), greater(_108283, _108281)], (474 ^ _104353) ^ [_121520, _121522] : [-(_121522 = _121520), vsucc(_121522) = vsucc(_121520)], (472 ^ _104353) ^ [_121411] : [vsucc(_121411) = _121411], (128 ^ _104353) ^ [_108622, _108624, _108626] : [less(vmul(_108626, _108624), vmul(_108622, _108624)), -(less(_108626, _108622))], (234 ^ _104353) ^ [_112787, _112789, _112791] : [vplus(_112791, _112787) = vplus(_112789, _112787), -(_112791 = _112789)], (410 ^ _104353) ^ [_118886, _118888] : [411 ^ _104353 : [(412 ^ _104353) ^ [_118959] : [_118886 = vplus(_118888, _118959)]], -(greater(_118886, _118888))], (158 ^ _104353) ^ [_109832, _109834, _109836] : [greater(_109834, _109832), -(greater(vmul(_109834, _109836), vmul(_109832, _109836)))], (454 ^ _104353) ^ [_120639, _120641] : [-(vplus(_120639, _120641) = vplus(_120641, _120639))], (446 ^ _104353) ^ [_120310, _120312] : [-(_120312 = _120310), 449 ^ _104353 : [(450 ^ _104353) ^ [_120436] : [vplus(_120436, _120312) = vplus(_120436, _120310)]]], (314 ^ _104353) ^ [_115667, _115669] : [leq(_115667, _115669), -(less(_115667, _115669)), -(_115667 = _115669)], (34 ^ _104353) ^ [_105573, _105575, _105577, _105579] : [-(geq(_105577, _105573)), geq(_105579, _105575), _105579 = _105577, _105575 = _105573], (324 ^ _104353) ^ [_115919, _115921] : [325 ^ _104353 : [(328 ^ _104353) ^ [] : [_115919 = _115921], (326 ^ _104353) ^ [] : [less(_115919, _115921)]], -(leq(_115919, _115921))], (372 ^ _104353) ^ [_117493, _117495] : [_117495 = _117493, less(_117495, _117493)], (428 ^ _104353) ^ [_119559, _119561] : [_119561 = _119559, 431 ^ _104353 : [(432 ^ _104353) ^ [_119681] : [_119559 = vplus(_119561, _119681)]]], (462 ^ _104353) ^ [_121068, _121070] : [-(vplus(_121070, vsucc(_121068)) = vsucc(vplus(_121070, _121068)))], (464 ^ _104353) ^ [_121124, _121126] : [-(vplus(_121126, v1) = vsucc(_121126))], (456 ^ _104353) ^ [_120739, _120741] : [-(vplus(vsucc(_120741), _120739) = vsucc(vplus(_120741, _120739)))], (192 ^ _104353) ^ [_111307, _111309, _111311, _111313] : [-(geq(vplus(_111313, _111309), vplus(_111311, _111307))), geq(_111309, _111307), geq(_111313, _111311)], (4 ^ _104353) ^ [_104584, _104586] : [_104586 = _104584, -(_104584 = _104586)], (434 ^ _104353) ^ [_119800, _119802] : [435 ^ _104353 : [(436 ^ _104353) ^ [_119885] : [_119802 = vplus(_119800, _119885)]], 437 ^ _104353 : [(438 ^ _104353) ^ [_119949] : [_119800 = vplus(_119802, _119949)]]], (146 ^ _104353) ^ [_109348, _109350, _109352] : [less(_109350, _109348), -(less(vmul(_109350, _109352), vmul(_109348, _109352)))], (152 ^ _104353) ^ [_109590, _109592, _109594] : [_109592 = _109590, -(vmul(_109592, _109594) = vmul(_109590, _109594))], (10 ^ _104353) ^ [_104788, _104790, _104792] : [-(_104792 = _104788), _104792 = _104790, _104790 = _104788], (134 ^ _104353) ^ [_108864, _108866, _108868] : [vmul(_108868, _108866) = vmul(_108864, _108866), -(_108868 = _108864)], (266 ^ _104353) ^ [_114094, _114096, _114098] : [-(leq(_114098, _114094)), leq(_114096, _114094), leq(_114098, _114096)], (486 ^ _104353) ^ [_121910] : [vsucc(_121910) = v1], (416 ^ _104353) ^ [_119126, _119128] : [-(_119128 = _119126), -(_119128 = vplus(_119126, 421 ^ [_119126, _119128])), -(_119126 = vplus(_119128, 424 ^ [_119126, _119128]))], (308 ^ _104353) ^ [_115428, _115430] : [geq(_115430, _115428), -(leq(_115428, _115430))], (202 ^ _104353) ^ [_111666, _111668, _111670, _111672] : [-(greater(vplus(_111672, _111668), vplus(_111670, _111666))), 203 ^ _104353 : [(210 ^ _104353) ^ [] : [geq(_111668, _111666), greater(_111672, _111670)], (204 ^ _104353) ^ [] : [greater(_111668, _111666), geq(_111672, _111670)]]], (403 ^ _104353) ^ [_118658, _118660] : [greater(_118658, _118660), -(_118658 = vplus(_118660, 406 ^ [_118658, _118660]))], (98 ^ _104353) ^ [_107672, _107674, _107676, _107678] : [-(vmul(_107678, _107674) = vmul(_107676, _107672)), _107678 = _107676, _107674 = _107672], (178 ^ _104353) ^ [_110769, _110771] : [less(_110771, vplus(_110769, v1)), -(leq(_110771, _110769))], (332 ^ _104353) ^ [_116234, _116236] : [geq(_116234, _116236), -(greater(_116234, _116236)), -(_116234 = _116236)], (228 ^ _104353) ^ [_112545, _112547, _112549] : [less(vplus(_112549, _112545), vplus(_112547, _112545)), -(less(_112549, _112547))], (20 ^ _104353) ^ [_105129, _105131, _105133, _105135] : [-(leq(_105133, _105129)), leq(_105135, _105131), _105135 = _105133, _105131 = _105129], (184 ^ _104353) ^ [_110985, _110987] : [greater(_110987, _110985), -(geq(_110987, vplus(_110985, v1)))], (460 ^ _104353) ^ [_120940, _120942, _120944] : [-(vplus(vplus(_120944, _120942), _120940) = vplus(_120944, vplus(_120942, _120940)))], (166 ^ _104353) ^ [_110181, _110183, _110185] : [-(vmul(_110185, vplus(_110183, _110181)) = vplus(vmul(_110185, _110183), vmul(_110185, _110181)))], (397 ^ _104353) ^ [_118389, _118391] : [398 ^ _104353 : [(399 ^ _104353) ^ [_118462] : [_118391 = vplus(_118389, _118462)]], -(less(_118389, _118391))], (86 ^ _104353) ^ [_107228, _107230] : [_107230 = _107228, -(vskolem2(_107230) = vskolem2(_107228))], (276 ^ _104353) ^ [_114417, _114419, _114421] : [-(less(_114421, _114417)), 277 ^ _104353 : [(284 ^ _104353) ^ [] : [leq(_114419, _114417), less(_114421, _114419)], (278 ^ _104353) ^ [] : [less(_114419, _114417), leq(_114421, _114419)]]], (172 ^ _104353) ^ [_110483] : [-(vmul(v1, _110483) = _110483)], (48 ^ _104353) ^ [_106017, _106019, _106021, _106023] : [-(less(_106021, _106017)), less(_106023, _106019), _106023 = _106021, _106019 = _106017], (76 ^ _104353) ^ [_106897, _106899, _106901, _106903] : [-(vplus(_106903, _106899) = vplus(_106901, _106897)), _106903 = _106901, _106899 = _106897], (190 ^ _104353) ^ [_111172] : [-(geq(_111172, v1))], (440 ^ _104353) ^ [_120069, _120071] : [_120071 = _120069, 443 ^ _104353 : [(444 ^ _104353) ^ [_120191] : [_120071 = vplus(_120069, _120191)]]], (466 ^ _104353) ^ [_121226] : [-(_121226 = v1), -(_121226 = vsucc(vskolem2(_121226)))], (480 ^ _104353) ^ [_121742, _121744] : [vsucc(_121744) = vsucc(_121742), -(_121744 = _121742)], (264 ^ _104353) ^ [_113968, _113970] : [-(greater(vplus(_113970, _113968), _113970))], (362 ^ _104353) ^ [_117192, _117194] : [-(_117194 = _117192), -(greater(_117194, _117192)), -(less(_117194, _117192))], (458 ^ _104353) ^ [_120829] : [-(vplus(v1, _120829) = vsucc(_120829))], (92 ^ _104353) ^ [_107446, _107448] : [_107448 = _107446, -(vsucc(_107448) = vsucc(_107446))], (140 ^ _104353) ^ [_109106, _109108, _109110] : [greater(vmul(_109110, _109108), vmul(_109106, _109108)), -(greater(_109110, _109106))], (350 ^ _104353) ^ [_116772, _116774] : [less(_116774, _116772), -(greater(_116772, _116774))], (452 ^ _104353) ^ [_120542, _120544] : [_120542 = vplus(_120544, _120542)], (108 ^ _104353) ^ [] : [109 ^ _104353 : [(112 ^ _104353) ^ [] : [-(geq(vd517, vd518))], (110 ^ _104353) ^ [] : [-(greater(vd519, vd520))]], 113 ^ _104353 : [(116 ^ _104353) ^ [] : [-(greater(vd517, vd518))], (114 ^ _104353) ^ [] : [-(geq(vd519, vd520))]]], (174 ^ _104353) ^ [_110598, _110600] : [-(vmul(_110600, vsucc(_110598)) = vplus(vmul(_110600, _110598), _110600))], (384 ^ _104353) ^ [_117919, _117921] : [_117921 = _117919, greater(_117921, _117919)]], input).
% 45.88/44.81 ncf('1',plain,[greater(vmul(vd517, vd519), vmul(vd518, vd520))],start(488 ^ 0)).
% 45.88/44.81 ncf('1.1',plain,[-(greater(vmul(vd517, vd519), vmul(vd518, vd520))), greater(vd519, vd520), greater(vd517, vd518)],extension(118 ^ 1,bind([[_108277, _108279, _108281, _108283], [vd520, vd519, vd518, vd517]]))).
% 45.88/44.81 ncf('1.1.1',plain,[-(greater(vd519, vd520)), geq(vd519, vd520), -(vd519 = vd520)],extension(332 ^ 2,bind([[_116234, _116236], [vd519, vd520]]))).
% 45.88/44.81 ncf('1.1.1.1',plain,[-(geq(vd519, vd520)), 110 : -(greater(vd519, vd520))],extension(108 ^ 3)).
% 45.88/44.81 ncf('1.1.1.1.1',plain,[greater(vd519, vd520)],reduction('1.1')).
% 45.88/44.81 ncf('1.1.1.2',plain,[vd519 = vd520, -(vmul(vd518, vd519) = vmul(vd518, vd520)), vd518 = vd518],extension(98 ^ 3,bind([[_107672, _107674, _107676, _107678], [vd520, vd519, vd518, vd518]]))).
% 45.88/44.81 ncf('1.1.1.2.1',plain,[vmul(vd518, vd519) = vmul(vd518, vd520), -(greater(vmul(vd517, vd519), vmul(vd518, vd520))), greater(vmul(vd517, vd519), vmul(vd518, vd519)), vmul(vd517, vd519) = vmul(vd517, vd519)],extension(62 ^ 4,bind([[_106441, _106443, _106445, _106447], [vmul(vd518, vd520), vmul(vd518, vd519), vmul(vd517, vd519), vmul(vd517, vd519)]]))).
% 45.88/44.81 ncf('1.1.1.2.1.1',plain,[greater(vmul(vd517, vd519), vmul(vd518, vd520))],reduction('1')).
% 45.88/44.81 ncf('1.1.1.2.1.2',plain,[-(greater(vmul(vd517, vd519), vmul(vd518, vd519))), greater(vd517, vd518)],extension(158 ^ 5,bind([[_109832, _109834, _109836], [vd518, vd517, vd519]]))).
% 45.88/44.81 ncf('1.1.1.2.1.2.1',plain,[-(greater(vd517, vd518)), 110 : -(greater(vd519, vd520))],extension(108 ^ 6)).
% 45.88/44.81 ncf('1.1.1.2.1.2.1.1',plain,[greater(vd519, vd520)],reduction('1.1')).
% 45.88/44.81 ncf('1.1.1.2.1.3',plain,[-(vmul(vd517, vd519) = vmul(vd517, vd519))],extension(2 ^ 5,bind([[_104477], [vmul(vd517, vd519)]]))).
% 45.88/44.81 ncf('1.1.1.2.2',plain,[-(vd518 = vd518)],extension(2 ^ 4,bind([[_104477], [vd518]]))).
% 45.88/44.81 ncf('1.1.2',plain,[-(greater(vd517, vd518)), geq(vd517, vd518), -(vd517 = vd518)],extension(332 ^ 2,bind([[_116234, _116236], [vd517, vd518]]))).
% 45.88/44.81 ncf('1.1.2.1',plain,[-(geq(vd517, vd518)), leq(vd518, vd517)],extension(302 ^ 3,bind([[_115218, _115220], [vd517, vd518]]))).
% 45.88/44.81 ncf('1.1.2.1.1',plain,[-(leq(vd518, vd517)), leq(vd518, vd517), vd518 = vd518, vd517 = vd517],extension(20 ^ 4,bind([[_105129, _105131, _105133, _105135], [vd517, vd517, vd518, vd518]]))).
% 45.88/44.81 ncf('1.1.2.1.1.1',plain,[-(leq(vd518, vd517)), geq(vd517, vd518)],extension(308 ^ 5,bind([[_115428, _115430], [vd518, vd517]]))).
% 45.88/44.81 ncf('1.1.2.1.1.1.1',plain,[-(geq(vd517, vd518)), 116 : -(greater(vd517, vd518))],extension(108 ^ 6)).
% 45.88/44.81 ncf('1.1.2.1.1.1.1.1',plain,[greater(vd517, vd518)],reduction('1.1')).
% 45.88/44.81 ncf('1.1.2.1.1.2',plain,[-(vd518 = vd518)],extension(2 ^ 5,bind([[_104477], [vd518]]))).
% 45.88/44.81 ncf('1.1.2.1.1.3',plain,[-(vd517 = vd517)],extension(2 ^ 5,bind([[_104477], [vd517]]))).
% 45.88/44.81 ncf('1.1.2.2',plain,[vd517 = vd518, -(vmul(vd517, vd519) = vmul(vd518, vplus(vd520, 393 ^ [vd520, vd519]))), vd519 = vplus(vd520, 393 ^ [vd520, vd519])],extension(98 ^ 3,bind([[_107672, _107674, _107676, _107678], [vplus(vd520, 393 ^ [vd520, vd519]), vd519, vd518, vd517]]))).
% 45.88/44.81 ncf('1.1.2.2.1',plain,[vmul(vd517, vd519) = vmul(vd518, vplus(vd520, 393 ^ [vd520, vd519])), -(vmul(vd517, vd519) = vplus(vmul(vd518, vd520), vmul(vd518, 393 ^ [vd520, vd519]))), vmul(vd518, vplus(vd520, 393 ^ [vd520, vd519])) = vplus(vmul(vd518, vd520), vmul(vd518, 393 ^ [vd520, vd519]))],extension(10 ^ 4,bind([[_104788, _104790, _104792], [vplus(vmul(vd518, vd520), vmul(vd518, 393 ^ [vd520, vd519])), vmul(vd518, vplus(vd520, 393 ^ [vd520, vd519])), vmul(vd517, vd519)]]))).
% 45.88/44.81 ncf('1.1.2.2.1.1',plain,[vmul(vd517, vd519) = vplus(vmul(vd518, vd520), vmul(vd518, 393 ^ [vd520, vd519])), -(greater(vmul(vd517, vd519), vmul(vd518, vd520)))],extension(410 ^ 5,bind([[_118886, _118888, _118959], [vmul(vd517, vd519), vmul(vd518, vd520), vmul(vd518, 393 ^ [vd520, vd519])]]))).
% 45.88/44.81 ncf('1.1.2.2.1.1.1',plain,[greater(vmul(vd517, vd519), vmul(vd518, vd520))],reduction('1')).
% 45.88/44.81 ncf('1.1.2.2.1.2',plain,[-(vmul(vd518, vplus(vd520, 393 ^ [vd520, vd519])) = vplus(vmul(vd518, vd520), vmul(vd518, 393 ^ [vd520, vd519])))],extension(166 ^ 5,bind([[_110181, _110183, _110185], [393 ^ [vd520, vd519], vd520, vd518]]))).
% 45.88/44.81 ncf('1.1.2.2.2',plain,[-(vd519 = vplus(vd520, 393 ^ [vd520, vd519])), less(vd520, vd519)],extension(390 ^ 4,bind([[_118161, _118163], [vd520, vd519]]))).
% 45.88/44.81 ncf('1.1.2.2.2.1',plain,[-(less(vd520, vd519)), greater(vd519, vd520)],extension(356 ^ 5,bind([[_116982, _116984], [vd520, vd519]]))).
% 45.88/44.81 ncf('1.1.2.2.2.1.1',plain,[-(greater(vd519, vd520))],lemmata('[1].x')).
% 45.88/44.81 %-----------------------------------------------------
% 45.88/44.81 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------