TSTP Solution File: NUM851+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM851+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n019.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 101.12s 98.54s
% Output : Proof 101.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM851+1 : TPTP v8.1.2. Released v4.1.0.
% 0.10/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n019.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 17:47:27 EDT 2023
% 0.12/0.33 % CPUTime :
% 101.12/98.54
% 101.12/98.54 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 101.12/98.54 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 101.12/98.54 %-----------------------------------------------------
% 101.12/98.54 ncf(matrix, plain, [(438 ^ _83495) ^ [] : [vmul(vplus(vd471, vd473), vd469) = vplus(vmul(vd471, vd469), vmul(vd473, vd469))], (76 ^ _83495) ^ [_86031, _86033] : [_86033 = _86031, -(vskolem2(_86033) = vskolem2(_86031))], (82 ^ _83495) ^ [_86249, _86251] : [_86251 = _86249, -(vsucc(_86251) = vsucc(_86249))], (88 ^ _83495) ^ [_86495, _86497, _86499, _86501] : [-(vplus(_86501, _86497) = vplus(_86499, _86495)), _86501 = _86499, _86497 = _86495], (98 ^ _83495) ^ [_86834, _86836, _86838, _86840] : [-(vmul(_86840, _86836) = vmul(_86838, _86834)), _86840 = _86838, _86836 = _86834], (2 ^ _83495) ^ [_83639] : [-(_83639 = _83639)], (4 ^ _83495) ^ [_83746, _83748] : [_83748 = _83746, -(_83746 = _83748)], (10 ^ _83495) ^ [_83950, _83952, _83954] : [-(_83954 = _83950), _83954 = _83952, _83952 = _83950], (20 ^ _83495) ^ [_84291, _84293, _84295, _84297] : [-(leq(_84295, _84291)), leq(_84297, _84293), _84297 = _84295, _84293 = _84291], (34 ^ _83495) ^ [_84735, _84737, _84739, _84741] : [-(geq(_84739, _84735)), geq(_84741, _84737), _84741 = _84739, _84737 = _84735], (48 ^ _83495) ^ [_85179, _85181, _85183, _85185] : [-(less(_85183, _85179)), less(_85185, _85181), _85185 = _85183, _85181 = _85179], (62 ^ _83495) ^ [_85603, _85605, _85607, _85609] : [-(greater(_85607, _85603)), greater(_85609, _85605), _85609 = _85607, _85605 = _85603], (108 ^ _83495) ^ [] : [-(vmul(vd470, vd469) = vmul(vplus(vd471, vd473), vd469))], (110 ^ _83495) ^ [] : [-(vd470 = vplus(vd471, vd473))], (112 ^ _83495) ^ [] : [-(greater(vd470, vd471))], (114 ^ _83495) ^ [_87337, _87339, _87341] : [-(vmul(vmul(_87341, _87339), _87337) = vmul(_87341, vmul(_87339, _87337)))], (116 ^ _83495) ^ [_87459, _87461, _87463] : [-(vmul(_87463, vplus(_87461, _87459)) = vplus(vmul(_87463, _87461), vmul(_87463, _87459)))], (118 ^ _83495) ^ [_87570, _87572] : [-(vmul(_87572, _87570) = vmul(_87570, _87572))], (120 ^ _83495) ^ [_87670, _87672] : [-(vmul(vsucc(_87672), _87670) = vplus(vmul(_87672, _87670), _87670))], (122 ^ _83495) ^ [_87761] : [-(vmul(v1, _87761) = _87761)], (124 ^ _83495) ^ [_87876, _87878] : [-(vmul(_87878, vsucc(_87876)) = vplus(vmul(_87878, _87876), _87878))], (126 ^ _83495) ^ [_87933, _87935] : [-(vmul(_87935, v1) = _87935)], (128 ^ _83495) ^ [_88047, _88049] : [less(_88049, vplus(_88047, v1)), -(leq(_88049, _88047))], (134 ^ _83495) ^ [_88263, _88265] : [greater(_88265, _88263), -(geq(_88265, vplus(_88263, v1)))], (140 ^ _83495) ^ [_88450] : [-(geq(_88450, v1))], (142 ^ _83495) ^ [_88585, _88587, _88589, _88591] : [-(geq(vplus(_88591, _88587), vplus(_88589, _88585))), geq(_88587, _88585), geq(_88591, _88589)], (152 ^ _83495) ^ [_88944, _88946, _88948, _88950] : [-(greater(vplus(_88950, _88946), vplus(_88948, _88944))), 153 ^ _83495 : [(154 ^ _83495) ^ [] : [greater(_88946, _88944), geq(_88950, _88948)], (160 ^ _83495) ^ [] : [geq(_88946, _88944), greater(_88950, _88948)]]], (168 ^ _83495) ^ [_89478, _89480, _89482, _89484] : [-(greater(vplus(_89484, _89480), vplus(_89482, _89478))), greater(_89480, _89478), greater(_89484, _89482)], (178 ^ _83495) ^ [_89823, _89825, _89827] : [less(vplus(_89827, _89823), vplus(_89825, _89823)), -(less(_89827, _89825))], (184 ^ _83495) ^ [_90065, _90067, _90069] : [vplus(_90069, _90065) = vplus(_90067, _90065), -(_90069 = _90067)], (190 ^ _83495) ^ [_90307, _90309, _90311] : [greater(vplus(_90311, _90307), vplus(_90309, _90307)), -(greater(_90311, _90309))], (196 ^ _83495) ^ [_90549, _90551, _90553] : [less(_90553, _90551), -(less(vplus(_90553, _90549), vplus(_90551, _90549)))], (202 ^ _83495) ^ [_90791, _90793, _90795] : [_90795 = _90793, -(vplus(_90795, _90791) = vplus(_90793, _90791))], (208 ^ _83495) ^ [_91033, _91035, _91037] : [greater(_91037, _91035), -(greater(vplus(_91037, _91033), vplus(_91035, _91033)))], (214 ^ _83495) ^ [_91246, _91248] : [-(greater(vplus(_91248, _91246), _91248))], (216 ^ _83495) ^ [_91372, _91374, _91376] : [-(leq(_91376, _91372)), leq(_91374, _91372), leq(_91376, _91374)], (226 ^ _83495) ^ [_91695, _91697, _91699] : [-(less(_91699, _91695)), 227 ^ _83495 : [(228 ^ _83495) ^ [] : [less(_91697, _91695), leq(_91699, _91697)], (234 ^ _83495) ^ [] : [leq(_91697, _91695), less(_91699, _91697)]]], (242 ^ _83495) ^ [_92187, _92189, _92191] : [-(less(_92191, _92187)), less(_92189, _92187), less(_92191, _92189)], (252 ^ _83495) ^ [_92496, _92498] : [leq(_92498, _92496), -(geq(_92496, _92498))], (258 ^ _83495) ^ [_92706, _92708] : [geq(_92708, _92706), -(leq(_92706, _92708))], (274 ^ _83495) ^ [_93197, _93199] : [275 ^ _83495 : [(276 ^ _83495) ^ [] : [less(_93197, _93199)], (278 ^ _83495) ^ [] : [_93197 = _93199]], -(leq(_93197, _93199))], (264 ^ _83495) ^ [_92945, _92947] : [leq(_92945, _92947), -(less(_92945, _92947)), -(_92945 = _92947)], (292 ^ _83495) ^ [_93764, _93766] : [293 ^ _83495 : [(294 ^ _83495) ^ [] : [greater(_93764, _93766)], (296 ^ _83495) ^ [] : [_93764 = _93766]], -(geq(_93764, _93766))], (282 ^ _83495) ^ [_93512, _93514] : [geq(_93512, _93514), -(greater(_93512, _93514)), -(_93512 = _93514)], (300 ^ _83495) ^ [_94050, _94052] : [less(_94052, _94050), -(greater(_94050, _94052))], (306 ^ _83495) ^ [_94260, _94262] : [greater(_94262, _94260), -(less(_94260, _94262))], (312 ^ _83495) ^ [_94470, _94472] : [-(_94472 = _94470), -(greater(_94472, _94470)), -(less(_94472, _94470))], (322 ^ _83495) ^ [_94771, _94773] : [_94773 = _94771, less(_94773, _94771)], (328 ^ _83495) ^ [_94984, _94986] : [greater(_94986, _94984), less(_94986, _94984)], (334 ^ _83495) ^ [_95197, _95199] : [_95199 = _95197, greater(_95199, _95197)], (340 ^ _83495) ^ [_95439, _95441] : [less(_95439, _95441), -(_95441 = vplus(_95439, 343 ^ [_95439, _95441]))], (347 ^ _83495) ^ [_95667, _95669] : [348 ^ _83495 : [(349 ^ _83495) ^ [_95740] : [_95669 = vplus(_95667, _95740)]], -(less(_95667, _95669))], (353 ^ _83495) ^ [_95936, _95938] : [greater(_95936, _95938), -(_95936 = vplus(_95938, 356 ^ [_95936, _95938]))], (360 ^ _83495) ^ [_96164, _96166] : [361 ^ _83495 : [(362 ^ _83495) ^ [_96237] : [_96164 = vplus(_96166, _96237)]], -(greater(_96164, _96166))], (366 ^ _83495) ^ [_96404, _96406] : [-(_96406 = _96404), -(_96406 = vplus(_96404, 371 ^ [_96404, _96406])), -(_96404 = vplus(_96406, 374 ^ [_96404, _96406]))], (378 ^ _83495) ^ [_96837, _96839] : [_96839 = _96837, 381 ^ _83495 : [(382 ^ _83495) ^ [_96959] : [_96837 = vplus(_96839, _96959)]]], (384 ^ _83495) ^ [_97078, _97080] : [385 ^ _83495 : [(386 ^ _83495) ^ [_97163] : [_97080 = vplus(_97078, _97163)]], 387 ^ _83495 : [(388 ^ _83495) ^ [_97227] : [_97078 = vplus(_97080, _97227)]]], (390 ^ _83495) ^ [_97347, _97349] : [_97349 = _97347, 393 ^ _83495 : [(394 ^ _83495) ^ [_97469] : [_97349 = vplus(_97347, _97469)]]], (396 ^ _83495) ^ [_97588, _97590] : [-(_97590 = _97588), 399 ^ _83495 : [(400 ^ _83495) ^ [_97714] : [vplus(_97714, _97590) = vplus(_97714, _97588)]]], (402 ^ _83495) ^ [_97820, _97822] : [_97820 = vplus(_97822, _97820)], (404 ^ _83495) ^ [_97917, _97919] : [-(vplus(_97917, _97919) = vplus(_97919, _97917))], (406 ^ _83495) ^ [_98017, _98019] : [-(vplus(vsucc(_98019), _98017) = vsucc(vplus(_98019, _98017)))], (408 ^ _83495) ^ [_98107] : [-(vplus(v1, _98107) = vsucc(_98107))], (410 ^ _83495) ^ [_98218, _98220, _98222] : [-(vplus(vplus(_98222, _98220), _98218) = vplus(_98222, vplus(_98220, _98218)))], (412 ^ _83495) ^ [_98346, _98348] : [-(vplus(_98348, vsucc(_98346)) = vsucc(vplus(_98348, _98346)))], (414 ^ _83495) ^ [_98402, _98404] : [-(vplus(_98404, v1) = vsucc(_98404))], (416 ^ _83495) ^ [_98504] : [-(_98504 = v1), -(_98504 = vsucc(vskolem2(_98504)))], (422 ^ _83495) ^ [_98689] : [vsucc(_98689) = _98689], (424 ^ _83495) ^ [_98798, _98800] : [-(_98800 = _98798), vsucc(_98800) = vsucc(_98798)], (436 ^ _83495) ^ [_99188] : [vsucc(_99188) = v1], (430 ^ _83495) ^ [_99020, _99022] : [vsucc(_99022) = vsucc(_99020), -(_99022 = _99020)]], input).
% 101.12/98.54 ncf('1',plain,[vmul(vplus(vd471, vd473), vd469) = vplus(vmul(vd471, vd469), vmul(vd473, vd469))],start(438 ^ 0)).
% 101.12/98.54 ncf('1.1',plain,[-(vmul(vplus(vd471, vd473), vd469) = vplus(vmul(vd471, vd469), vmul(vd473, vd469))), vmul(vplus(vd471, vd473), vd469) = vplus(vmul(vd469, vd471), vmul(vd469, vd473)), vplus(vmul(vd469, vd471), vmul(vd469, vd473)) = vplus(vmul(vd471, vd469), vmul(vd473, vd469))],extension(10 ^ 1,bind([[_83950, _83952, _83954], [vplus(vmul(vd471, vd469), vmul(vd473, vd469)), vplus(vmul(vd469, vd471), vmul(vd469, vd473)), vmul(vplus(vd471, vd473), vd469)]]))).
% 101.12/98.54 ncf('1.1.1',plain,[-(vmul(vplus(vd471, vd473), vd469) = vplus(vmul(vd469, vd471), vmul(vd469, vd473))), vmul(vplus(vd471, vd473), vd469) = vmul(vd469, vplus(vd471, vd473)), vmul(vd469, vplus(vd471, vd473)) = vplus(vmul(vd469, vd471), vmul(vd469, vd473))],extension(10 ^ 2,bind([[_83950, _83952, _83954], [vplus(vmul(vd469, vd471), vmul(vd469, vd473)), vmul(vd469, vplus(vd471, vd473)), vmul(vplus(vd471, vd473), vd469)]]))).
% 101.12/98.54 ncf('1.1.1.1',plain,[-(vmul(vplus(vd471, vd473), vd469) = vmul(vd469, vplus(vd471, vd473)))],extension(118 ^ 3,bind([[_87570, _87572], [vd469, vplus(vd471, vd473)]]))).
% 101.12/98.54 ncf('1.1.1.2',plain,[-(vmul(vd469, vplus(vd471, vd473)) = vplus(vmul(vd469, vd471), vmul(vd469, vd473)))],extension(116 ^ 3,bind([[_87459, _87461, _87463], [vd473, vd471, vd469]]))).
% 101.12/98.54 ncf('1.1.2',plain,[-(vplus(vmul(vd469, vd471), vmul(vd469, vd473)) = vplus(vmul(vd471, vd469), vmul(vd473, vd469))), vmul(vd469, vd471) = vmul(vd471, vd469), vmul(vd469, vd473) = vmul(vd473, vd469)],extension(88 ^ 2,bind([[_86495, _86497, _86499, _86501], [vmul(vd473, vd469), vmul(vd469, vd473), vmul(vd471, vd469), vmul(vd469, vd471)]]))).
% 101.12/98.54 ncf('1.1.2.1',plain,[-(vmul(vd469, vd471) = vmul(vd471, vd469))],extension(118 ^ 3,bind([[_87570, _87572], [vd471, vd469]]))).
% 101.12/98.54 ncf('1.1.2.2',plain,[-(vmul(vd469, vd473) = vmul(vd473, vd469))],extension(118 ^ 3,bind([[_87570, _87572], [vd473, vd469]]))).
% 101.12/98.54 %-----------------------------------------------------
% 101.12/98.54 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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