TSTP Solution File: NUM854+1 by nanoCoP---2.0

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : NUM854+1 : 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 11:45:48 EDT 2023

% Result   : Theorem 0.35s 1.39s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : NUM854+1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.14/0.35  % Computer : n009.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu May 18 17:24:48 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.35/1.39  
% 0.35/1.39  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.35/1.39  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.39  %-----------------------------------------------------
% 0.35/1.39  ncf(matrix, plain, [(472 ^ _90327) ^ [] : [greater(vmul(vd508, vd511), vmul(vd509, vd511))], (76 ^ _90327) ^ [_92891, _92893, _92895, _92897] : [-(vplus(_92897, _92893) = vplus(_92895, _92891)), _92897 = _92895, _92893 = _92891], (86 ^ _90327) ^ [_93222, _93224] : [_93224 = _93222, -(vskolem2(_93224) = vskolem2(_93222))], (92 ^ _90327) ^ [_93440, _93442] : [_93442 = _93440, -(vsucc(_93442) = vsucc(_93440))], (98 ^ _90327) ^ [_93666, _93668, _93670, _93672] : [-(vmul(_93672, _93668) = vmul(_93670, _93666)), _93672 = _93670, _93668 = _93666], (2 ^ _90327) ^ [_90471] : [-(_90471 = _90471)], (4 ^ _90327) ^ [_90578, _90580] : [_90580 = _90578, -(_90578 = _90580)], (10 ^ _90327) ^ [_90782, _90784, _90786] : [-(_90786 = _90782), _90786 = _90784, _90784 = _90782], (20 ^ _90327) ^ [_91123, _91125, _91127, _91129] : [-(leq(_91127, _91123)), leq(_91129, _91125), _91129 = _91127, _91125 = _91123], (34 ^ _90327) ^ [_91567, _91569, _91571, _91573] : [-(geq(_91571, _91567)), geq(_91573, _91569), _91573 = _91571, _91569 = _91567], (48 ^ _90327) ^ [_92011, _92013, _92015, _92017] : [-(less(_92015, _92011)), less(_92017, _92013), _92017 = _92015, _92013 = _92011], (62 ^ _90327) ^ [_92435, _92437, _92439, _92441] : [-(greater(_92439, _92435)), greater(_92441, _92437), _92441 = _92439, _92437 = _92435], (108 ^ _90327) ^ [] : [-(greater(vd511, vd512))], (110 ^ _90327) ^ [] : [-(greater(vd508, vd509))], (112 ^ _90327) ^ [_94131, _94133, _94135] : [less(vmul(_94135, _94133), vmul(_94131, _94133)), -(less(_94135, _94131))], (118 ^ _90327) ^ [_94373, _94375, _94377] : [vmul(_94377, _94375) = vmul(_94373, _94375), -(_94377 = _94373)], (124 ^ _90327) ^ [_94615, _94617, _94619] : [greater(vmul(_94619, _94617), vmul(_94615, _94617)), -(greater(_94619, _94615))], (130 ^ _90327) ^ [_94857, _94859, _94861] : [less(_94859, _94857), -(less(vmul(_94859, _94861), vmul(_94857, _94861)))], (136 ^ _90327) ^ [_95099, _95101, _95103] : [_95101 = _95099, -(vmul(_95101, _95103) = vmul(_95099, _95103))], (142 ^ _90327) ^ [_95341, _95343, _95345] : [greater(_95343, _95341), -(greater(vmul(_95343, _95345), vmul(_95341, _95345)))], (148 ^ _90327) ^ [_95568, _95570, _95572] : [-(vmul(vmul(_95572, _95570), _95568) = vmul(_95572, vmul(_95570, _95568)))], (150 ^ _90327) ^ [_95690, _95692, _95694] : [-(vmul(_95694, vplus(_95692, _95690)) = vplus(vmul(_95694, _95692), vmul(_95694, _95690)))], (152 ^ _90327) ^ [_95801, _95803] : [-(vmul(_95803, _95801) = vmul(_95801, _95803))], (154 ^ _90327) ^ [_95901, _95903] : [-(vmul(vsucc(_95903), _95901) = vplus(vmul(_95903, _95901), _95901))], (156 ^ _90327) ^ [_95992] : [-(vmul(v1, _95992) = _95992)], (158 ^ _90327) ^ [_96107, _96109] : [-(vmul(_96109, vsucc(_96107)) = vplus(vmul(_96109, _96107), _96109))], (160 ^ _90327) ^ [_96164, _96166] : [-(vmul(_96166, v1) = _96166)], (162 ^ _90327) ^ [_96278, _96280] : [less(_96280, vplus(_96278, v1)), -(leq(_96280, _96278))], (168 ^ _90327) ^ [_96494, _96496] : [greater(_96496, _96494), -(geq(_96496, vplus(_96494, v1)))], (174 ^ _90327) ^ [_96681] : [-(geq(_96681, v1))], (176 ^ _90327) ^ [_96816, _96818, _96820, _96822] : [-(geq(vplus(_96822, _96818), vplus(_96820, _96816))), geq(_96818, _96816), geq(_96822, _96820)], (186 ^ _90327) ^ [_97175, _97177, _97179, _97181] : [-(greater(vplus(_97181, _97177), vplus(_97179, _97175))), 187 ^ _90327 : [(188 ^ _90327) ^ [] : [greater(_97177, _97175), geq(_97181, _97179)], (194 ^ _90327) ^ [] : [geq(_97177, _97175), greater(_97181, _97179)]]], (202 ^ _90327) ^ [_97709, _97711, _97713, _97715] : [-(greater(vplus(_97715, _97711), vplus(_97713, _97709))), greater(_97711, _97709), greater(_97715, _97713)], (212 ^ _90327) ^ [_98054, _98056, _98058] : [less(vplus(_98058, _98054), vplus(_98056, _98054)), -(less(_98058, _98056))], (218 ^ _90327) ^ [_98296, _98298, _98300] : [vplus(_98300, _98296) = vplus(_98298, _98296), -(_98300 = _98298)], (224 ^ _90327) ^ [_98538, _98540, _98542] : [greater(vplus(_98542, _98538), vplus(_98540, _98538)), -(greater(_98542, _98540))], (230 ^ _90327) ^ [_98780, _98782, _98784] : [less(_98784, _98782), -(less(vplus(_98784, _98780), vplus(_98782, _98780)))], (236 ^ _90327) ^ [_99022, _99024, _99026] : [_99026 = _99024, -(vplus(_99026, _99022) = vplus(_99024, _99022))], (242 ^ _90327) ^ [_99264, _99266, _99268] : [greater(_99268, _99266), -(greater(vplus(_99268, _99264), vplus(_99266, _99264)))], (248 ^ _90327) ^ [_99477, _99479] : [-(greater(vplus(_99479, _99477), _99479))], (250 ^ _90327) ^ [_99603, _99605, _99607] : [-(leq(_99607, _99603)), leq(_99605, _99603), leq(_99607, _99605)], (260 ^ _90327) ^ [_99926, _99928, _99930] : [-(less(_99930, _99926)), 261 ^ _90327 : [(262 ^ _90327) ^ [] : [less(_99928, _99926), leq(_99930, _99928)], (268 ^ _90327) ^ [] : [leq(_99928, _99926), less(_99930, _99928)]]], (276 ^ _90327) ^ [_100418, _100420, _100422] : [-(less(_100422, _100418)), less(_100420, _100418), less(_100422, _100420)], (286 ^ _90327) ^ [_100727, _100729] : [leq(_100729, _100727), -(geq(_100727, _100729))], (292 ^ _90327) ^ [_100937, _100939] : [geq(_100939, _100937), -(leq(_100937, _100939))], (308 ^ _90327) ^ [_101428, _101430] : [309 ^ _90327 : [(310 ^ _90327) ^ [] : [less(_101428, _101430)], (312 ^ _90327) ^ [] : [_101428 = _101430]], -(leq(_101428, _101430))], (298 ^ _90327) ^ [_101176, _101178] : [leq(_101176, _101178), -(less(_101176, _101178)), -(_101176 = _101178)], (326 ^ _90327) ^ [_101995, _101997] : [327 ^ _90327 : [(328 ^ _90327) ^ [] : [greater(_101995, _101997)], (330 ^ _90327) ^ [] : [_101995 = _101997]], -(geq(_101995, _101997))], (316 ^ _90327) ^ [_101743, _101745] : [geq(_101743, _101745), -(greater(_101743, _101745)), -(_101743 = _101745)], (334 ^ _90327) ^ [_102281, _102283] : [less(_102283, _102281), -(greater(_102281, _102283))], (340 ^ _90327) ^ [_102491, _102493] : [greater(_102493, _102491), -(less(_102491, _102493))], (346 ^ _90327) ^ [_102701, _102703] : [-(_102703 = _102701), -(greater(_102703, _102701)), -(less(_102703, _102701))], (356 ^ _90327) ^ [_103002, _103004] : [_103004 = _103002, less(_103004, _103002)], (362 ^ _90327) ^ [_103215, _103217] : [greater(_103217, _103215), less(_103217, _103215)], (368 ^ _90327) ^ [_103428, _103430] : [_103430 = _103428, greater(_103430, _103428)], (374 ^ _90327) ^ [_103670, _103672] : [less(_103670, _103672), -(_103672 = vplus(_103670, 377 ^ [_103670, _103672]))], (381 ^ _90327) ^ [_103898, _103900] : [382 ^ _90327 : [(383 ^ _90327) ^ [_103971] : [_103900 = vplus(_103898, _103971)]], -(less(_103898, _103900))], (387 ^ _90327) ^ [_104167, _104169] : [greater(_104167, _104169), -(_104167 = vplus(_104169, 390 ^ [_104167, _104169]))], (394 ^ _90327) ^ [_104395, _104397] : [395 ^ _90327 : [(396 ^ _90327) ^ [_104468] : [_104395 = vplus(_104397, _104468)]], -(greater(_104395, _104397))], (400 ^ _90327) ^ [_104635, _104637] : [-(_104637 = _104635), -(_104637 = vplus(_104635, 405 ^ [_104635, _104637])), -(_104635 = vplus(_104637, 408 ^ [_104635, _104637]))], (412 ^ _90327) ^ [_105068, _105070] : [_105070 = _105068, 415 ^ _90327 : [(416 ^ _90327) ^ [_105190] : [_105068 = vplus(_105070, _105190)]]], (418 ^ _90327) ^ [_105309, _105311] : [419 ^ _90327 : [(420 ^ _90327) ^ [_105394] : [_105311 = vplus(_105309, _105394)]], 421 ^ _90327 : [(422 ^ _90327) ^ [_105458] : [_105309 = vplus(_105311, _105458)]]], (424 ^ _90327) ^ [_105578, _105580] : [_105580 = _105578, 427 ^ _90327 : [(428 ^ _90327) ^ [_105700] : [_105580 = vplus(_105578, _105700)]]], (430 ^ _90327) ^ [_105819, _105821] : [-(_105821 = _105819), 433 ^ _90327 : [(434 ^ _90327) ^ [_105945] : [vplus(_105945, _105821) = vplus(_105945, _105819)]]], (436 ^ _90327) ^ [_106051, _106053] : [_106051 = vplus(_106053, _106051)], (438 ^ _90327) ^ [_106148, _106150] : [-(vplus(_106148, _106150) = vplus(_106150, _106148))], (440 ^ _90327) ^ [_106248, _106250] : [-(vplus(vsucc(_106250), _106248) = vsucc(vplus(_106250, _106248)))], (442 ^ _90327) ^ [_106338] : [-(vplus(v1, _106338) = vsucc(_106338))], (444 ^ _90327) ^ [_106449, _106451, _106453] : [-(vplus(vplus(_106453, _106451), _106449) = vplus(_106453, vplus(_106451, _106449)))], (446 ^ _90327) ^ [_106577, _106579] : [-(vplus(_106579, vsucc(_106577)) = vsucc(vplus(_106579, _106577)))], (448 ^ _90327) ^ [_106633, _106635] : [-(vplus(_106635, v1) = vsucc(_106635))], (450 ^ _90327) ^ [_106735] : [-(_106735 = v1), -(_106735 = vsucc(vskolem2(_106735)))], (456 ^ _90327) ^ [_106920] : [vsucc(_106920) = _106920], (458 ^ _90327) ^ [_107029, _107031] : [-(_107031 = _107029), vsucc(_107031) = vsucc(_107029)], (470 ^ _90327) ^ [_107419] : [vsucc(_107419) = v1], (464 ^ _90327) ^ [_107251, _107253] : [vsucc(_107253) = vsucc(_107251), -(_107253 = _107251)]], input).
% 0.35/1.39  ncf('1',plain,[greater(vmul(vd508, vd511), vmul(vd509, vd511))],start(472 ^ 0)).
% 0.35/1.39  ncf('1.1',plain,[-(greater(vmul(vd508, vd511), vmul(vd509, vd511))), greater(vd508, vd509)],extension(142 ^ 1,bind([[_95341, _95343, _95345], [vd509, vd508, vd511]]))).
% 0.35/1.39  ncf('1.1.1',plain,[-(greater(vd508, vd509))],extension(110 ^ 2)).
% 0.35/1.39  %-----------------------------------------------------
% 0.35/1.39  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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