TSTP Solution File: NUM853+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM853+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n026.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 11:45:47 EDT 2023
% Result : Theorem 0.38s 1.38s
% Output : Proof 0.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM853+1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n026.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu May 18 17:56:50 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.38/1.38
% 0.38/1.38 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.38/1.38 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/1.38 %-----------------------------------------------------
% 0.38/1.38 ncf(matrix, plain, [(452 ^ _87006) ^ [] : [greater(vd486, vd488)], (76 ^ _87006) ^ [_89570, _89572, _89574, _89576] : [-(vmul(_89576, _89572) = vmul(_89574, _89570)), _89576 = _89574, _89572 = _89570], (86 ^ _87006) ^ [_89929, _89931, _89933, _89935] : [-(vplus(_89935, _89931) = vplus(_89933, _89929)), _89935 = _89933, _89931 = _89929], (96 ^ _87006) ^ [_90260, _90262] : [_90262 = _90260, -(vskolem2(_90262) = vskolem2(_90260))], (102 ^ _87006) ^ [_90458, _90460] : [_90460 = _90458, -(vsucc(_90460) = vsucc(_90458))], (2 ^ _87006) ^ [_87150] : [-(_87150 = _87150)], (4 ^ _87006) ^ [_87257, _87259] : [_87259 = _87257, -(_87257 = _87259)], (10 ^ _87006) ^ [_87461, _87463, _87465] : [-(_87465 = _87461), _87465 = _87463, _87463 = _87461], (20 ^ _87006) ^ [_87802, _87804, _87806, _87808] : [-(leq(_87806, _87802)), leq(_87808, _87804), _87808 = _87806, _87804 = _87802], (34 ^ _87006) ^ [_88246, _88248, _88250, _88252] : [-(geq(_88250, _88246)), geq(_88252, _88248), _88252 = _88250, _88248 = _88246], (48 ^ _87006) ^ [_88690, _88692, _88694, _88696] : [-(less(_88694, _88690)), less(_88696, _88692), _88696 = _88694, _88692 = _88690], (62 ^ _87006) ^ [_89114, _89116, _89118, _89120] : [-(greater(_89118, _89114)), greater(_89120, _89116), _89120 = _89118, _89116 = _89114], (108 ^ _87006) ^ [] : [-(greater(vmul(vd486, vd487), vmul(vd488, vd487)))], (110 ^ _87006) ^ [_90757, _90759, _90761] : [less(_90759, _90757), -(less(vmul(_90759, _90761), vmul(_90757, _90761)))], (116 ^ _87006) ^ [_90999, _91001, _91003] : [_91001 = _90999, -(vmul(_91001, _91003) = vmul(_90999, _91003))], (122 ^ _87006) ^ [_91241, _91243, _91245] : [greater(_91243, _91241), -(greater(vmul(_91243, _91245), vmul(_91241, _91245)))], (128 ^ _87006) ^ [_91468, _91470, _91472] : [-(vmul(vmul(_91472, _91470), _91468) = vmul(_91472, vmul(_91470, _91468)))], (130 ^ _87006) ^ [_91590, _91592, _91594] : [-(vmul(_91594, vplus(_91592, _91590)) = vplus(vmul(_91594, _91592), vmul(_91594, _91590)))], (132 ^ _87006) ^ [_91701, _91703] : [-(vmul(_91703, _91701) = vmul(_91701, _91703))], (134 ^ _87006) ^ [_91801, _91803] : [-(vmul(vsucc(_91803), _91801) = vplus(vmul(_91803, _91801), _91801))], (136 ^ _87006) ^ [_91892] : [-(vmul(v1, _91892) = _91892)], (138 ^ _87006) ^ [_92007, _92009] : [-(vmul(_92009, vsucc(_92007)) = vplus(vmul(_92009, _92007), _92009))], (140 ^ _87006) ^ [_92064, _92066] : [-(vmul(_92066, v1) = _92066)], (142 ^ _87006) ^ [_92178, _92180] : [less(_92180, vplus(_92178, v1)), -(leq(_92180, _92178))], (148 ^ _87006) ^ [_92394, _92396] : [greater(_92396, _92394), -(geq(_92396, vplus(_92394, v1)))], (154 ^ _87006) ^ [_92581] : [-(geq(_92581, v1))], (156 ^ _87006) ^ [_92716, _92718, _92720, _92722] : [-(geq(vplus(_92722, _92718), vplus(_92720, _92716))), geq(_92718, _92716), geq(_92722, _92720)], (166 ^ _87006) ^ [_93075, _93077, _93079, _93081] : [-(greater(vplus(_93081, _93077), vplus(_93079, _93075))), 167 ^ _87006 : [(168 ^ _87006) ^ [] : [greater(_93077, _93075), geq(_93081, _93079)], (174 ^ _87006) ^ [] : [geq(_93077, _93075), greater(_93081, _93079)]]], (182 ^ _87006) ^ [_93609, _93611, _93613, _93615] : [-(greater(vplus(_93615, _93611), vplus(_93613, _93609))), greater(_93611, _93609), greater(_93615, _93613)], (192 ^ _87006) ^ [_93954, _93956, _93958] : [less(vplus(_93958, _93954), vplus(_93956, _93954)), -(less(_93958, _93956))], (198 ^ _87006) ^ [_94196, _94198, _94200] : [vplus(_94200, _94196) = vplus(_94198, _94196), -(_94200 = _94198)], (204 ^ _87006) ^ [_94438, _94440, _94442] : [greater(vplus(_94442, _94438), vplus(_94440, _94438)), -(greater(_94442, _94440))], (210 ^ _87006) ^ [_94680, _94682, _94684] : [less(_94684, _94682), -(less(vplus(_94684, _94680), vplus(_94682, _94680)))], (216 ^ _87006) ^ [_94922, _94924, _94926] : [_94926 = _94924, -(vplus(_94926, _94922) = vplus(_94924, _94922))], (222 ^ _87006) ^ [_95164, _95166, _95168] : [greater(_95168, _95166), -(greater(vplus(_95168, _95164), vplus(_95166, _95164)))], (228 ^ _87006) ^ [_95377, _95379] : [-(greater(vplus(_95379, _95377), _95379))], (230 ^ _87006) ^ [_95503, _95505, _95507] : [-(leq(_95507, _95503)), leq(_95505, _95503), leq(_95507, _95505)], (240 ^ _87006) ^ [_95826, _95828, _95830] : [-(less(_95830, _95826)), 241 ^ _87006 : [(242 ^ _87006) ^ [] : [less(_95828, _95826), leq(_95830, _95828)], (248 ^ _87006) ^ [] : [leq(_95828, _95826), less(_95830, _95828)]]], (256 ^ _87006) ^ [_96318, _96320, _96322] : [-(less(_96322, _96318)), less(_96320, _96318), less(_96322, _96320)], (266 ^ _87006) ^ [_96627, _96629] : [leq(_96629, _96627), -(geq(_96627, _96629))], (272 ^ _87006) ^ [_96837, _96839] : [geq(_96839, _96837), -(leq(_96837, _96839))], (288 ^ _87006) ^ [_97328, _97330] : [289 ^ _87006 : [(290 ^ _87006) ^ [] : [less(_97328, _97330)], (292 ^ _87006) ^ [] : [_97328 = _97330]], -(leq(_97328, _97330))], (278 ^ _87006) ^ [_97076, _97078] : [leq(_97076, _97078), -(less(_97076, _97078)), -(_97076 = _97078)], (306 ^ _87006) ^ [_97895, _97897] : [307 ^ _87006 : [(308 ^ _87006) ^ [] : [greater(_97895, _97897)], (310 ^ _87006) ^ [] : [_97895 = _97897]], -(geq(_97895, _97897))], (296 ^ _87006) ^ [_97643, _97645] : [geq(_97643, _97645), -(greater(_97643, _97645)), -(_97643 = _97645)], (314 ^ _87006) ^ [_98181, _98183] : [less(_98183, _98181), -(greater(_98181, _98183))], (320 ^ _87006) ^ [_98391, _98393] : [greater(_98393, _98391), -(less(_98391, _98393))], (326 ^ _87006) ^ [_98601, _98603] : [-(_98603 = _98601), -(greater(_98603, _98601)), -(less(_98603, _98601))], (336 ^ _87006) ^ [_98902, _98904] : [_98904 = _98902, less(_98904, _98902)], (342 ^ _87006) ^ [_99115, _99117] : [greater(_99117, _99115), less(_99117, _99115)], (348 ^ _87006) ^ [_99328, _99330] : [_99330 = _99328, greater(_99330, _99328)], (354 ^ _87006) ^ [_99570, _99572] : [less(_99570, _99572), -(_99572 = vplus(_99570, 357 ^ [_99570, _99572]))], (361 ^ _87006) ^ [_99798, _99800] : [362 ^ _87006 : [(363 ^ _87006) ^ [_99871] : [_99800 = vplus(_99798, _99871)]], -(less(_99798, _99800))], (367 ^ _87006) ^ [_100067, _100069] : [greater(_100067, _100069), -(_100067 = vplus(_100069, 370 ^ [_100067, _100069]))], (374 ^ _87006) ^ [_100295, _100297] : [375 ^ _87006 : [(376 ^ _87006) ^ [_100368] : [_100295 = vplus(_100297, _100368)]], -(greater(_100295, _100297))], (380 ^ _87006) ^ [_100535, _100537] : [-(_100537 = _100535), -(_100537 = vplus(_100535, 385 ^ [_100535, _100537])), -(_100535 = vplus(_100537, 388 ^ [_100535, _100537]))], (392 ^ _87006) ^ [_100968, _100970] : [_100970 = _100968, 395 ^ _87006 : [(396 ^ _87006) ^ [_101090] : [_100968 = vplus(_100970, _101090)]]], (398 ^ _87006) ^ [_101209, _101211] : [399 ^ _87006 : [(400 ^ _87006) ^ [_101294] : [_101211 = vplus(_101209, _101294)]], 401 ^ _87006 : [(402 ^ _87006) ^ [_101358] : [_101209 = vplus(_101211, _101358)]]], (404 ^ _87006) ^ [_101478, _101480] : [_101480 = _101478, 407 ^ _87006 : [(408 ^ _87006) ^ [_101600] : [_101480 = vplus(_101478, _101600)]]], (410 ^ _87006) ^ [_101719, _101721] : [-(_101721 = _101719), 413 ^ _87006 : [(414 ^ _87006) ^ [_101845] : [vplus(_101845, _101721) = vplus(_101845, _101719)]]], (416 ^ _87006) ^ [_101951, _101953] : [_101951 = vplus(_101953, _101951)], (418 ^ _87006) ^ [_102048, _102050] : [-(vplus(_102048, _102050) = vplus(_102050, _102048))], (420 ^ _87006) ^ [_102148, _102150] : [-(vplus(vsucc(_102150), _102148) = vsucc(vplus(_102150, _102148)))], (422 ^ _87006) ^ [_102238] : [-(vplus(v1, _102238) = vsucc(_102238))], (424 ^ _87006) ^ [_102349, _102351, _102353] : [-(vplus(vplus(_102353, _102351), _102349) = vplus(_102353, vplus(_102351, _102349)))], (426 ^ _87006) ^ [_102477, _102479] : [-(vplus(_102479, vsucc(_102477)) = vsucc(vplus(_102479, _102477)))], (428 ^ _87006) ^ [_102533, _102535] : [-(vplus(_102535, v1) = vsucc(_102535))], (430 ^ _87006) ^ [_102635] : [-(_102635 = v1), -(_102635 = vsucc(vskolem2(_102635)))], (436 ^ _87006) ^ [_102820] : [vsucc(_102820) = _102820], (438 ^ _87006) ^ [_102929, _102931] : [-(_102931 = _102929), vsucc(_102931) = vsucc(_102929)], (450 ^ _87006) ^ [_103319] : [vsucc(_103319) = v1], (444 ^ _87006) ^ [_103151, _103153] : [vsucc(_103153) = vsucc(_103151), -(_103153 = _103151)]], input).
% 0.38/1.38 ncf('1',plain,[greater(vd486, vd488)],start(452 ^ 0)).
% 0.38/1.38 ncf('1.1',plain,[-(greater(vd486, vd488)), -(vd486 = vd488), -(less(vd486, vd488))],extension(326 ^ 1,bind([[_98601, _98603], [vd488, vd486]]))).
% 0.38/1.38 ncf('1.1.1',plain,[vd486 = vd488, -(vmul(vd486, vd487) = vmul(vd488, vd487)), vd487 = vd487],extension(76 ^ 2,bind([[_89570, _89572, _89574, _89576], [vd487, vd487, vd488, vd486]]))).
% 0.38/1.38 ncf('1.1.1.1',plain,[vmul(vd486, vd487) = vmul(vd488, vd487), greater(vmul(vd486, vd487), vmul(vd488, vd487))],extension(348 ^ 3,bind([[_99328, _99330], [vmul(vd488, vd487), vmul(vd486, vd487)]]))).
% 0.38/1.38 ncf('1.1.1.1.1',plain,[-(greater(vmul(vd486, vd487), vmul(vd488, vd487)))],extension(108 ^ 4)).
% 0.38/1.38 ncf('1.1.1.2',plain,[-(vd487 = vd487)],extension(2 ^ 3,bind([[_87150], [vd487]]))).
% 0.38/1.38 ncf('1.1.2',plain,[less(vd486, vd488), -(less(vmul(vd486, vd487), vmul(vd488, vd487)))],extension(110 ^ 2,bind([[_90757, _90759, _90761], [vd488, vd486, vd487]]))).
% 0.38/1.38 ncf('1.1.2.1',plain,[less(vmul(vd486, vd487), vmul(vd488, vd487)), greater(vmul(vd486, vd487), vmul(vd488, vd487))],extension(342 ^ 3,bind([[_99115, _99117], [vmul(vd488, vd487), vmul(vd486, vd487)]]))).
% 0.38/1.38 ncf('1.1.2.1.1',plain,[-(greater(vmul(vd486, vd487), vmul(vd488, vd487)))],extension(108 ^ 4)).
% 0.38/1.38 %-----------------------------------------------------
% 0.38/1.38 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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