TSTP Solution File: NUM855+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM855+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n024.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 1.14s 1.37s
% Output : Proof 1.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM855+1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13 % Command : nanocop.sh %s %d
% 0.13/0.34 % Computer : n024.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 17:27:22 EDT 2023
% 0.13/0.34 % CPUTime :
% 1.14/1.37
% 1.14/1.37 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 1.14/1.37 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.14/1.37 %-----------------------------------------------------
% 1.14/1.37 ncf(matrix, plain, [(480 ^ _94242) ^ [] : [greater(vmul(vd508, vd511), vmul(vd509, vd512))], (76 ^ _94242) ^ [_96806, _96808, _96810, _96812] : [-(vplus(_96812, _96808) = vplus(_96810, _96806)), _96812 = _96810, _96808 = _96806], (86 ^ _94242) ^ [_97137, _97139] : [_97139 = _97137, -(vskolem2(_97139) = vskolem2(_97137))], (92 ^ _94242) ^ [_97355, _97357] : [_97357 = _97355, -(vsucc(_97357) = vsucc(_97355))], (98 ^ _94242) ^ [_97581, _97583, _97585, _97587] : [-(vmul(_97587, _97583) = vmul(_97585, _97581)), _97587 = _97585, _97583 = _97581], (2 ^ _94242) ^ [_94386] : [-(_94386 = _94386)], (4 ^ _94242) ^ [_94493, _94495] : [_94495 = _94493, -(_94493 = _94495)], (10 ^ _94242) ^ [_94697, _94699, _94701] : [-(_94701 = _94697), _94701 = _94699, _94699 = _94697], (20 ^ _94242) ^ [_95038, _95040, _95042, _95044] : [-(leq(_95042, _95038)), leq(_95044, _95040), _95044 = _95042, _95040 = _95038], (34 ^ _94242) ^ [_95482, _95484, _95486, _95488] : [-(geq(_95486, _95482)), geq(_95488, _95484), _95488 = _95486, _95484 = _95482], (48 ^ _94242) ^ [_95926, _95928, _95930, _95932] : [-(less(_95930, _95926)), less(_95932, _95928), _95932 = _95930, _95928 = _95926], (62 ^ _94242) ^ [_96350, _96352, _96354, _96356] : [-(greater(_96354, _96350)), greater(_96356, _96352), _96356 = _96354, _96352 = _96350], (108 ^ _94242) ^ [] : [-(vmul(vd512, vd509) = vmul(vd509, vd512))], (110 ^ _94242) ^ [] : [-(greater(vmul(vd511, vd509), vmul(vd512, vd509)))], (112 ^ _94242) ^ [] : [-(vmul(vd509, vd511) = vmul(vd511, vd509))], (114 ^ _94242) ^ [] : [-(greater(vmul(vd508, vd511), vmul(vd509, vd511)))], (116 ^ _94242) ^ [] : [-(greater(vd511, vd512))], (118 ^ _94242) ^ [] : [-(greater(vd508, vd509))], (120 ^ _94242) ^ [_98258, _98260, _98262] : [less(vmul(_98262, _98260), vmul(_98258, _98260)), -(less(_98262, _98258))], (126 ^ _94242) ^ [_98500, _98502, _98504] : [vmul(_98504, _98502) = vmul(_98500, _98502), -(_98504 = _98500)], (132 ^ _94242) ^ [_98742, _98744, _98746] : [greater(vmul(_98746, _98744), vmul(_98742, _98744)), -(greater(_98746, _98742))], (138 ^ _94242) ^ [_98984, _98986, _98988] : [less(_98986, _98984), -(less(vmul(_98986, _98988), vmul(_98984, _98988)))], (144 ^ _94242) ^ [_99226, _99228, _99230] : [_99228 = _99226, -(vmul(_99228, _99230) = vmul(_99226, _99230))], (150 ^ _94242) ^ [_99468, _99470, _99472] : [greater(_99470, _99468), -(greater(vmul(_99470, _99472), vmul(_99468, _99472)))], (156 ^ _94242) ^ [_99695, _99697, _99699] : [-(vmul(vmul(_99699, _99697), _99695) = vmul(_99699, vmul(_99697, _99695)))], (158 ^ _94242) ^ [_99817, _99819, _99821] : [-(vmul(_99821, vplus(_99819, _99817)) = vplus(vmul(_99821, _99819), vmul(_99821, _99817)))], (160 ^ _94242) ^ [_99928, _99930] : [-(vmul(_99930, _99928) = vmul(_99928, _99930))], (162 ^ _94242) ^ [_100028, _100030] : [-(vmul(vsucc(_100030), _100028) = vplus(vmul(_100030, _100028), _100028))], (164 ^ _94242) ^ [_100119] : [-(vmul(v1, _100119) = _100119)], (166 ^ _94242) ^ [_100234, _100236] : [-(vmul(_100236, vsucc(_100234)) = vplus(vmul(_100236, _100234), _100236))], (168 ^ _94242) ^ [_100291, _100293] : [-(vmul(_100293, v1) = _100293)], (170 ^ _94242) ^ [_100405, _100407] : [less(_100407, vplus(_100405, v1)), -(leq(_100407, _100405))], (176 ^ _94242) ^ [_100621, _100623] : [greater(_100623, _100621), -(geq(_100623, vplus(_100621, v1)))], (182 ^ _94242) ^ [_100808] : [-(geq(_100808, v1))], (184 ^ _94242) ^ [_100943, _100945, _100947, _100949] : [-(geq(vplus(_100949, _100945), vplus(_100947, _100943))), geq(_100945, _100943), geq(_100949, _100947)], (194 ^ _94242) ^ [_101302, _101304, _101306, _101308] : [-(greater(vplus(_101308, _101304), vplus(_101306, _101302))), 195 ^ _94242 : [(196 ^ _94242) ^ [] : [greater(_101304, _101302), geq(_101308, _101306)], (202 ^ _94242) ^ [] : [geq(_101304, _101302), greater(_101308, _101306)]]], (210 ^ _94242) ^ [_101836, _101838, _101840, _101842] : [-(greater(vplus(_101842, _101838), vplus(_101840, _101836))), greater(_101838, _101836), greater(_101842, _101840)], (220 ^ _94242) ^ [_102181, _102183, _102185] : [less(vplus(_102185, _102181), vplus(_102183, _102181)), -(less(_102185, _102183))], (226 ^ _94242) ^ [_102423, _102425, _102427] : [vplus(_102427, _102423) = vplus(_102425, _102423), -(_102427 = _102425)], (232 ^ _94242) ^ [_102665, _102667, _102669] : [greater(vplus(_102669, _102665), vplus(_102667, _102665)), -(greater(_102669, _102667))], (238 ^ _94242) ^ [_102907, _102909, _102911] : [less(_102911, _102909), -(less(vplus(_102911, _102907), vplus(_102909, _102907)))], (244 ^ _94242) ^ [_103149, _103151, _103153] : [_103153 = _103151, -(vplus(_103153, _103149) = vplus(_103151, _103149))], (250 ^ _94242) ^ [_103391, _103393, _103395] : [greater(_103395, _103393), -(greater(vplus(_103395, _103391), vplus(_103393, _103391)))], (256 ^ _94242) ^ [_103604, _103606] : [-(greater(vplus(_103606, _103604), _103606))], (258 ^ _94242) ^ [_103730, _103732, _103734] : [-(leq(_103734, _103730)), leq(_103732, _103730), leq(_103734, _103732)], (268 ^ _94242) ^ [_104053, _104055, _104057] : [-(less(_104057, _104053)), 269 ^ _94242 : [(270 ^ _94242) ^ [] : [less(_104055, _104053), leq(_104057, _104055)], (276 ^ _94242) ^ [] : [leq(_104055, _104053), less(_104057, _104055)]]], (284 ^ _94242) ^ [_104545, _104547, _104549] : [-(less(_104549, _104545)), less(_104547, _104545), less(_104549, _104547)], (294 ^ _94242) ^ [_104854, _104856] : [leq(_104856, _104854), -(geq(_104854, _104856))], (300 ^ _94242) ^ [_105064, _105066] : [geq(_105066, _105064), -(leq(_105064, _105066))], (316 ^ _94242) ^ [_105555, _105557] : [317 ^ _94242 : [(318 ^ _94242) ^ [] : [less(_105555, _105557)], (320 ^ _94242) ^ [] : [_105555 = _105557]], -(leq(_105555, _105557))], (306 ^ _94242) ^ [_105303, _105305] : [leq(_105303, _105305), -(less(_105303, _105305)), -(_105303 = _105305)], (334 ^ _94242) ^ [_106122, _106124] : [335 ^ _94242 : [(336 ^ _94242) ^ [] : [greater(_106122, _106124)], (338 ^ _94242) ^ [] : [_106122 = _106124]], -(geq(_106122, _106124))], (324 ^ _94242) ^ [_105870, _105872] : [geq(_105870, _105872), -(greater(_105870, _105872)), -(_105870 = _105872)], (342 ^ _94242) ^ [_106408, _106410] : [less(_106410, _106408), -(greater(_106408, _106410))], (348 ^ _94242) ^ [_106618, _106620] : [greater(_106620, _106618), -(less(_106618, _106620))], (354 ^ _94242) ^ [_106828, _106830] : [-(_106830 = _106828), -(greater(_106830, _106828)), -(less(_106830, _106828))], (364 ^ _94242) ^ [_107129, _107131] : [_107131 = _107129, less(_107131, _107129)], (370 ^ _94242) ^ [_107342, _107344] : [greater(_107344, _107342), less(_107344, _107342)], (376 ^ _94242) ^ [_107555, _107557] : [_107557 = _107555, greater(_107557, _107555)], (382 ^ _94242) ^ [_107797, _107799] : [less(_107797, _107799), -(_107799 = vplus(_107797, 385 ^ [_107797, _107799]))], (389 ^ _94242) ^ [_108025, _108027] : [390 ^ _94242 : [(391 ^ _94242) ^ [_108098] : [_108027 = vplus(_108025, _108098)]], -(less(_108025, _108027))], (395 ^ _94242) ^ [_108294, _108296] : [greater(_108294, _108296), -(_108294 = vplus(_108296, 398 ^ [_108294, _108296]))], (402 ^ _94242) ^ [_108522, _108524] : [403 ^ _94242 : [(404 ^ _94242) ^ [_108595] : [_108522 = vplus(_108524, _108595)]], -(greater(_108522, _108524))], (408 ^ _94242) ^ [_108762, _108764] : [-(_108764 = _108762), -(_108764 = vplus(_108762, 413 ^ [_108762, _108764])), -(_108762 = vplus(_108764, 416 ^ [_108762, _108764]))], (420 ^ _94242) ^ [_109195, _109197] : [_109197 = _109195, 423 ^ _94242 : [(424 ^ _94242) ^ [_109317] : [_109195 = vplus(_109197, _109317)]]], (426 ^ _94242) ^ [_109436, _109438] : [427 ^ _94242 : [(428 ^ _94242) ^ [_109521] : [_109438 = vplus(_109436, _109521)]], 429 ^ _94242 : [(430 ^ _94242) ^ [_109585] : [_109436 = vplus(_109438, _109585)]]], (432 ^ _94242) ^ [_109705, _109707] : [_109707 = _109705, 435 ^ _94242 : [(436 ^ _94242) ^ [_109827] : [_109707 = vplus(_109705, _109827)]]], (438 ^ _94242) ^ [_109946, _109948] : [-(_109948 = _109946), 441 ^ _94242 : [(442 ^ _94242) ^ [_110072] : [vplus(_110072, _109948) = vplus(_110072, _109946)]]], (444 ^ _94242) ^ [_110178, _110180] : [_110178 = vplus(_110180, _110178)], (446 ^ _94242) ^ [_110275, _110277] : [-(vplus(_110275, _110277) = vplus(_110277, _110275))], (448 ^ _94242) ^ [_110375, _110377] : [-(vplus(vsucc(_110377), _110375) = vsucc(vplus(_110377, _110375)))], (450 ^ _94242) ^ [_110465] : [-(vplus(v1, _110465) = vsucc(_110465))], (452 ^ _94242) ^ [_110576, _110578, _110580] : [-(vplus(vplus(_110580, _110578), _110576) = vplus(_110580, vplus(_110578, _110576)))], (454 ^ _94242) ^ [_110704, _110706] : [-(vplus(_110706, vsucc(_110704)) = vsucc(vplus(_110706, _110704)))], (456 ^ _94242) ^ [_110760, _110762] : [-(vplus(_110762, v1) = vsucc(_110762))], (458 ^ _94242) ^ [_110862] : [-(_110862 = v1), -(_110862 = vsucc(vskolem2(_110862)))], (464 ^ _94242) ^ [_111047] : [vsucc(_111047) = _111047], (466 ^ _94242) ^ [_111156, _111158] : [-(_111158 = _111156), vsucc(_111158) = vsucc(_111156)], (478 ^ _94242) ^ [_111546] : [vsucc(_111546) = v1], (472 ^ _94242) ^ [_111378, _111380] : [vsucc(_111380) = vsucc(_111378), -(_111380 = _111378)]], input).
% 1.14/1.37 ncf('1',plain,[greater(vmul(vd508, vd511), vmul(vd509, vd512))],start(480 ^ 0)).
% 1.14/1.37 ncf('1.1',plain,[-(greater(vmul(vd508, vd511), vmul(vd509, vd512))), less(vmul(vd509, vd512), vmul(vd508, vd511))],extension(342 ^ 1,bind([[_106408, _106410], [vmul(vd508, vd511), vmul(vd509, vd512)]]))).
% 1.14/1.37 ncf('1.1.1',plain,[-(less(vmul(vd509, vd512), vmul(vd508, vd511))), less(vmul(vd509, vd511), vmul(vd508, vd511)), less(vmul(vd509, vd512), vmul(vd509, vd511))],extension(284 ^ 2,bind([[_104545, _104547, _104549], [vmul(vd508, vd511), vmul(vd509, vd511), vmul(vd509, vd512)]]))).
% 1.14/1.37 ncf('1.1.1.1',plain,[-(less(vmul(vd509, vd511), vmul(vd508, vd511))), less(vd509, vd508)],extension(138 ^ 3,bind([[_98984, _98986, _98988], [vd508, vd509, vd511]]))).
% 1.14/1.37 ncf('1.1.1.1.1',plain,[-(less(vd509, vd508)), greater(vd508, vd509)],extension(348 ^ 4,bind([[_106618, _106620], [vd509, vd508]]))).
% 1.14/1.37 ncf('1.1.1.1.1.1',plain,[-(greater(vd508, vd509))],extension(118 ^ 5)).
% 1.14/1.37 ncf('1.1.1.2',plain,[-(less(vmul(vd509, vd512), vmul(vd509, vd511))), less(vmul(vd512, vd509), vmul(vd511, vd509)), vmul(vd512, vd509) = vmul(vd509, vd512), vmul(vd511, vd509) = vmul(vd509, vd511)],extension(48 ^ 3,bind([[_95926, _95928, _95930, _95932], [vmul(vd509, vd511), vmul(vd511, vd509), vmul(vd509, vd512), vmul(vd512, vd509)]]))).
% 1.14/1.37 ncf('1.1.1.2.1',plain,[-(less(vmul(vd512, vd509), vmul(vd511, vd509))), greater(vmul(vd511, vd509), vmul(vd512, vd509))],extension(348 ^ 4,bind([[_106618, _106620], [vmul(vd512, vd509), vmul(vd511, vd509)]]))).
% 1.14/1.37 ncf('1.1.1.2.1.1',plain,[-(greater(vmul(vd511, vd509), vmul(vd512, vd509)))],extension(110 ^ 5)).
% 1.14/1.37 ncf('1.1.1.2.2',plain,[-(vmul(vd512, vd509) = vmul(vd509, vd512))],extension(108 ^ 4)).
% 1.14/1.37 ncf('1.1.1.2.3',plain,[-(vmul(vd511, vd509) = vmul(vd509, vd511)), vmul(vd509, vd511) = vmul(vd511, vd509)],extension(4 ^ 4,bind([[_94493, _94495], [vmul(vd511, vd509), vmul(vd509, vd511)]]))).
% 1.14/1.37 ncf('1.1.1.2.3.1',plain,[-(vmul(vd509, vd511) = vmul(vd511, vd509))],extension(112 ^ 5)).
% 1.14/1.37 %-----------------------------------------------------
% 1.14/1.37 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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