TSTP Solution File: NUM856+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM856+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n003.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 45.45s 44.77s
% Output : Proof 45.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM856+1 : TPTP v8.1.2. Released v4.1.0.
% 0.10/0.12 % Command : nanocop.sh %s %d
% 0.13/0.33 % Computer : n003.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 17:39:30 EDT 2023
% 0.13/0.33 % CPUTime :
% 45.45/44.77
% 45.45/44.77 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 45.45/44.77 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 45.45/44.77 %-----------------------------------------------------
% 45.45/44.77 ncf(matrix, plain, [(488 ^ _122247) ^ [] : [greater(vmul(vd517, vd519), vmul(vd518, vd520))], !, (170 ^ _104381) ^ [_110420, _110422] : [-(vmul(vsucc(_110422), _110420) = vplus(vmul(_110422, _110420), _110420))], (2 ^ _104381) ^ [_104505] : [-(_104505 = _104505)], (218 ^ _104381) ^ [_112228, _112230, _112232, _112234] : [-(greater(vplus(_112234, _112230), vplus(_112232, _112228))), greater(_112230, _112228), greater(_112234, _112232)], (292 ^ _104381) ^ [_114937, _114939, _114941] : [-(less(_114941, _114937)), less(_114939, _114937), less(_114941, _114939)], (390 ^ _104381) ^ [_118189, _118191] : [less(_118189, _118191), -(_118191 = vplus(_118189, 393 ^ [_118189, _118191]))], (240 ^ _104381) ^ [_113057, _113059, _113061] : [greater(vplus(_113061, _113057), vplus(_113059, _113057)), -(greater(_113061, _113059))], (246 ^ _104381) ^ [_113299, _113301, _113303] : [less(_113303, _113301), -(less(vplus(_113303, _113299), vplus(_113301, _113299)))], (252 ^ _104381) ^ [_113541, _113543, _113545] : [_113545 = _113543, -(vplus(_113545, _113541) = vplus(_113543, _113541))], (378 ^ _104381) ^ [_117734, _117736] : [greater(_117736, _117734), less(_117736, _117734)], (258 ^ _104381) ^ [_113783, _113785, _113787] : [greater(_113787, _113785), -(greater(vplus(_113787, _113783), vplus(_113785, _113783)))], (342 ^ _104381) ^ [_116514, _116516] : [343 ^ _104381 : [(346 ^ _104381) ^ [] : [_116514 = _116516], (344 ^ _104381) ^ [] : [greater(_116514, _116516)]], -(geq(_116514, _116516))], (356 ^ _104381) ^ [_117010, _117012] : [greater(_117012, _117010), -(less(_117010, _117012))], (164 ^ _104381) ^ [_110087, _110089, _110091] : [-(vmul(vmul(_110091, _110089), _110087) = vmul(_110091, vmul(_110089, _110087)))], (302 ^ _104381) ^ [_115246, _115248] : [leq(_115248, _115246), -(geq(_115246, _115248))], (176 ^ _104381) ^ [_110683, _110685] : [-(vmul(_110685, v1) = _110685)], (168 ^ _104381) ^ [_110320, _110322] : [-(vmul(_110322, _110320) = vmul(_110320, _110322))], (62 ^ _104381) ^ [_106469, _106471, _106473, _106475] : [-(greater(_106473, _106469)), greater(_106475, _106471), _106475 = _106473, _106471 = _106469], (118 ^ _104381) ^ [_108305, _108307, _108309, _108311] : [-(greater(vmul(_108311, _108307), vmul(_108309, _108305))), greater(_108307, _108305), greater(_108311, _108309)], (474 ^ _104381) ^ [_121548, _121550] : [-(_121550 = _121548), vsucc(_121550) = vsucc(_121548)], (472 ^ _104381) ^ [_121439] : [vsucc(_121439) = _121439], (128 ^ _104381) ^ [_108650, _108652, _108654] : [less(vmul(_108654, _108652), vmul(_108650, _108652)), -(less(_108654, _108650))], (234 ^ _104381) ^ [_112815, _112817, _112819] : [vplus(_112819, _112815) = vplus(_112817, _112815), -(_112819 = _112817)], (410 ^ _104381) ^ [_118914, _118916] : [411 ^ _104381 : [(412 ^ _104381) ^ [_118987] : [_118914 = vplus(_118916, _118987)]], -(greater(_118914, _118916))], (158 ^ _104381) ^ [_109860, _109862, _109864] : [greater(_109862, _109860), -(greater(vmul(_109862, _109864), vmul(_109860, _109864)))], (454 ^ _104381) ^ [_120667, _120669] : [-(vplus(_120667, _120669) = vplus(_120669, _120667))], (446 ^ _104381) ^ [_120338, _120340] : [-(_120340 = _120338), 449 ^ _104381 : [(450 ^ _104381) ^ [_120464] : [vplus(_120464, _120340) = vplus(_120464, _120338)]]], (314 ^ _104381) ^ [_115695, _115697] : [leq(_115695, _115697), -(less(_115695, _115697)), -(_115695 = _115697)], (34 ^ _104381) ^ [_105601, _105603, _105605, _105607] : [-(geq(_105605, _105601)), geq(_105607, _105603), _105607 = _105605, _105603 = _105601], (324 ^ _104381) ^ [_115947, _115949] : [325 ^ _104381 : [(328 ^ _104381) ^ [] : [_115947 = _115949], (326 ^ _104381) ^ [] : [less(_115947, _115949)]], -(leq(_115947, _115949))], (372 ^ _104381) ^ [_117521, _117523] : [_117523 = _117521, less(_117523, _117521)], (428 ^ _104381) ^ [_119587, _119589] : [_119589 = _119587, 431 ^ _104381 : [(432 ^ _104381) ^ [_119709] : [_119587 = vplus(_119589, _119709)]]], (462 ^ _104381) ^ [_121096, _121098] : [-(vplus(_121098, vsucc(_121096)) = vsucc(vplus(_121098, _121096)))], (464 ^ _104381) ^ [_121152, _121154] : [-(vplus(_121154, v1) = vsucc(_121154))], (456 ^ _104381) ^ [_120767, _120769] : [-(vplus(vsucc(_120769), _120767) = vsucc(vplus(_120769, _120767)))], (192 ^ _104381) ^ [_111335, _111337, _111339, _111341] : [-(geq(vplus(_111341, _111337), vplus(_111339, _111335))), geq(_111337, _111335), geq(_111341, _111339)], (4 ^ _104381) ^ [_104612, _104614] : [_104614 = _104612, -(_104612 = _104614)], (434 ^ _104381) ^ [_119828, _119830] : [435 ^ _104381 : [(436 ^ _104381) ^ [_119913] : [_119830 = vplus(_119828, _119913)]], 437 ^ _104381 : [(438 ^ _104381) ^ [_119977] : [_119828 = vplus(_119830, _119977)]]], (146 ^ _104381) ^ [_109376, _109378, _109380] : [less(_109378, _109376), -(less(vmul(_109378, _109380), vmul(_109376, _109380)))], (152 ^ _104381) ^ [_109618, _109620, _109622] : [_109620 = _109618, -(vmul(_109620, _109622) = vmul(_109618, _109622))], (10 ^ _104381) ^ [_104816, _104818, _104820] : [-(_104820 = _104816), _104820 = _104818, _104818 = _104816], (134 ^ _104381) ^ [_108892, _108894, _108896] : [vmul(_108896, _108894) = vmul(_108892, _108894), -(_108896 = _108892)], (266 ^ _104381) ^ [_114122, _114124, _114126] : [-(leq(_114126, _114122)), leq(_114124, _114122), leq(_114126, _114124)], (486 ^ _104381) ^ [_121938] : [vsucc(_121938) = v1], (416 ^ _104381) ^ [_119154, _119156] : [-(_119156 = _119154), -(_119156 = vplus(_119154, 421 ^ [_119154, _119156])), -(_119154 = vplus(_119156, 424 ^ [_119154, _119156]))], (308 ^ _104381) ^ [_115456, _115458] : [geq(_115458, _115456), -(leq(_115456, _115458))], (202 ^ _104381) ^ [_111694, _111696, _111698, _111700] : [-(greater(vplus(_111700, _111696), vplus(_111698, _111694))), 203 ^ _104381 : [(210 ^ _104381) ^ [] : [geq(_111696, _111694), greater(_111700, _111698)], (204 ^ _104381) ^ [] : [greater(_111696, _111694), geq(_111700, _111698)]]], (403 ^ _104381) ^ [_118686, _118688] : [greater(_118686, _118688), -(_118686 = vplus(_118688, 406 ^ [_118686, _118688]))], (98 ^ _104381) ^ [_107700, _107702, _107704, _107706] : [-(vmul(_107706, _107702) = vmul(_107704, _107700)), _107706 = _107704, _107702 = _107700], (178 ^ _104381) ^ [_110797, _110799] : [less(_110799, vplus(_110797, v1)), -(leq(_110799, _110797))], (332 ^ _104381) ^ [_116262, _116264] : [geq(_116262, _116264), -(greater(_116262, _116264)), -(_116262 = _116264)], (228 ^ _104381) ^ [_112573, _112575, _112577] : [less(vplus(_112577, _112573), vplus(_112575, _112573)), -(less(_112577, _112575))], (20 ^ _104381) ^ [_105157, _105159, _105161, _105163] : [-(leq(_105161, _105157)), leq(_105163, _105159), _105163 = _105161, _105159 = _105157], (184 ^ _104381) ^ [_111013, _111015] : [greater(_111015, _111013), -(geq(_111015, vplus(_111013, v1)))], (460 ^ _104381) ^ [_120968, _120970, _120972] : [-(vplus(vplus(_120972, _120970), _120968) = vplus(_120972, vplus(_120970, _120968)))], (166 ^ _104381) ^ [_110209, _110211, _110213] : [-(vmul(_110213, vplus(_110211, _110209)) = vplus(vmul(_110213, _110211), vmul(_110213, _110209)))], (397 ^ _104381) ^ [_118417, _118419] : [398 ^ _104381 : [(399 ^ _104381) ^ [_118490] : [_118419 = vplus(_118417, _118490)]], -(less(_118417, _118419))], (86 ^ _104381) ^ [_107256, _107258] : [_107258 = _107256, -(vskolem2(_107258) = vskolem2(_107256))], (276 ^ _104381) ^ [_114445, _114447, _114449] : [-(less(_114449, _114445)), 277 ^ _104381 : [(284 ^ _104381) ^ [] : [leq(_114447, _114445), less(_114449, _114447)], (278 ^ _104381) ^ [] : [less(_114447, _114445), leq(_114449, _114447)]]], (172 ^ _104381) ^ [_110511] : [-(vmul(v1, _110511) = _110511)], (48 ^ _104381) ^ [_106045, _106047, _106049, _106051] : [-(less(_106049, _106045)), less(_106051, _106047), _106051 = _106049, _106047 = _106045], (76 ^ _104381) ^ [_106925, _106927, _106929, _106931] : [-(vplus(_106931, _106927) = vplus(_106929, _106925)), _106931 = _106929, _106927 = _106925], (190 ^ _104381) ^ [_111200] : [-(geq(_111200, v1))], (440 ^ _104381) ^ [_120097, _120099] : [_120099 = _120097, 443 ^ _104381 : [(444 ^ _104381) ^ [_120219] : [_120099 = vplus(_120097, _120219)]]], (466 ^ _104381) ^ [_121254] : [-(_121254 = v1), -(_121254 = vsucc(vskolem2(_121254)))], (480 ^ _104381) ^ [_121770, _121772] : [vsucc(_121772) = vsucc(_121770), -(_121772 = _121770)], (264 ^ _104381) ^ [_113996, _113998] : [-(greater(vplus(_113998, _113996), _113998))], (362 ^ _104381) ^ [_117220, _117222] : [-(_117222 = _117220), -(greater(_117222, _117220)), -(less(_117222, _117220))], (458 ^ _104381) ^ [_120857] : [-(vplus(v1, _120857) = vsucc(_120857))], (92 ^ _104381) ^ [_107474, _107476] : [_107476 = _107474, -(vsucc(_107476) = vsucc(_107474))], (140 ^ _104381) ^ [_109134, _109136, _109138] : [greater(vmul(_109138, _109136), vmul(_109134, _109136)), -(greater(_109138, _109134))], (350 ^ _104381) ^ [_116800, _116802] : [less(_116802, _116800), -(greater(_116800, _116802))], (452 ^ _104381) ^ [_120570, _120572] : [_120570 = vplus(_120572, _120570)], (108 ^ _104381) ^ [] : [109 ^ _104381 : [(112 ^ _104381) ^ [] : [-(geq(vd517, vd518))], (110 ^ _104381) ^ [] : [-(greater(vd519, vd520))]], 113 ^ _104381 : [(116 ^ _104381) ^ [] : [-(greater(vd517, vd518))], (114 ^ _104381) ^ [] : [-(geq(vd519, vd520))]]], (174 ^ _104381) ^ [_110626, _110628] : [-(vmul(_110628, vsucc(_110626)) = vplus(vmul(_110628, _110626), _110628))], (384 ^ _104381) ^ [_117947, _117949] : [_117949 = _117947, greater(_117949, _117947)]], input).
% 45.45/44.77 ncf('1',plain,[greater(vmul(vd517, vd519), vmul(vd518, vd520))],start(488 ^ 0)).
% 45.45/44.77 ncf('1.1',plain,[-(greater(vmul(vd517, vd519), vmul(vd518, vd520))), greater(vd519, vd520), greater(vd517, vd518)],extension(118 ^ 1,bind([[_108305, _108307, _108309, _108311], [vd520, vd519, vd518, vd517]]))).
% 45.45/44.77 ncf('1.1.1',plain,[-(greater(vd519, vd520)), geq(vd519, vd520), -(vd519 = vd520)],extension(332 ^ 2,bind([[_116262, _116264], [vd519, vd520]]))).
% 45.45/44.77 ncf('1.1.1.1',plain,[-(geq(vd519, vd520)), 110 : -(greater(vd519, vd520))],extension(108 ^ 3)).
% 45.45/44.77 ncf('1.1.1.1.1',plain,[greater(vd519, vd520)],reduction('1.1')).
% 45.45/44.77 ncf('1.1.1.2',plain,[vd519 = vd520, -(vmul(vd518, vd519) = vmul(vd518, vd520)), vd518 = vd518],extension(98 ^ 3,bind([[_107700, _107702, _107704, _107706], [vd520, vd519, vd518, vd518]]))).
% 45.45/44.77 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([[_106469, _106471, _106473, _106475], [vmul(vd518, vd520), vmul(vd518, vd519), vmul(vd517, vd519), vmul(vd517, vd519)]]))).
% 45.45/44.77 ncf('1.1.1.2.1.1',plain,[greater(vmul(vd517, vd519), vmul(vd518, vd520))],reduction('1')).
% 45.45/44.77 ncf('1.1.1.2.1.2',plain,[-(greater(vmul(vd517, vd519), vmul(vd518, vd519))), greater(vd517, vd518)],extension(158 ^ 5,bind([[_109860, _109862, _109864], [vd518, vd517, vd519]]))).
% 45.45/44.77 ncf('1.1.1.2.1.2.1',plain,[-(greater(vd517, vd518)), 110 : -(greater(vd519, vd520))],extension(108 ^ 6)).
% 45.45/44.77 ncf('1.1.1.2.1.2.1.1',plain,[greater(vd519, vd520)],reduction('1.1')).
% 45.45/44.77 ncf('1.1.1.2.1.3',plain,[-(vmul(vd517, vd519) = vmul(vd517, vd519))],extension(2 ^ 5,bind([[_104505], [vmul(vd517, vd519)]]))).
% 45.45/44.77 ncf('1.1.1.2.2',plain,[-(vd518 = vd518)],extension(2 ^ 4,bind([[_104505], [vd518]]))).
% 45.45/44.77 ncf('1.1.2',plain,[-(greater(vd517, vd518)), geq(vd517, vd518), -(vd517 = vd518)],extension(332 ^ 2,bind([[_116262, _116264], [vd517, vd518]]))).
% 45.45/44.77 ncf('1.1.2.1',plain,[-(geq(vd517, vd518)), leq(vd518, vd517)],extension(302 ^ 3,bind([[_115246, _115248], [vd517, vd518]]))).
% 45.45/44.77 ncf('1.1.2.1.1',plain,[-(leq(vd518, vd517)), leq(vd518, vd517), vd518 = vd518, vd517 = vd517],extension(20 ^ 4,bind([[_105157, _105159, _105161, _105163], [vd517, vd517, vd518, vd518]]))).
% 45.45/44.77 ncf('1.1.2.1.1.1',plain,[-(leq(vd518, vd517)), geq(vd517, vd518)],extension(308 ^ 5,bind([[_115456, _115458], [vd518, vd517]]))).
% 45.45/44.77 ncf('1.1.2.1.1.1.1',plain,[-(geq(vd517, vd518)), 116 : -(greater(vd517, vd518))],extension(108 ^ 6)).
% 45.45/44.77 ncf('1.1.2.1.1.1.1.1',plain,[greater(vd517, vd518)],reduction('1.1')).
% 45.45/44.77 ncf('1.1.2.1.1.2',plain,[-(vd518 = vd518)],extension(2 ^ 5,bind([[_104505], [vd518]]))).
% 45.45/44.77 ncf('1.1.2.1.1.3',plain,[-(vd517 = vd517)],extension(2 ^ 5,bind([[_104505], [vd517]]))).
% 45.45/44.77 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([[_107700, _107702, _107704, _107706], [vplus(vd520, 393 ^ [vd520, vd519]), vd519, vd518, vd517]]))).
% 45.45/44.77 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([[_104816, _104818, _104820], [vplus(vmul(vd518, vd520), vmul(vd518, 393 ^ [vd520, vd519])), vmul(vd518, vplus(vd520, 393 ^ [vd520, vd519])), vmul(vd517, vd519)]]))).
% 45.45/44.77 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([[_118914, _118916, _118987], [vmul(vd517, vd519), vmul(vd518, vd520), vmul(vd518, 393 ^ [vd520, vd519])]]))).
% 45.45/44.77 ncf('1.1.2.2.1.1.1',plain,[greater(vmul(vd517, vd519), vmul(vd518, vd520))],reduction('1')).
% 45.45/44.77 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([[_110209, _110211, _110213], [393 ^ [vd520, vd519], vd520, vd518]]))).
% 45.45/44.77 ncf('1.1.2.2.2',plain,[-(vd519 = vplus(vd520, 393 ^ [vd520, vd519])), less(vd520, vd519)],extension(390 ^ 4,bind([[_118189, _118191], [vd520, vd519]]))).
% 45.45/44.77 ncf('1.1.2.2.2.1',plain,[-(less(vd520, vd519)), greater(vd519, vd520)],extension(356 ^ 5,bind([[_117010, _117012], [vd520, vd519]]))).
% 45.45/44.77 ncf('1.1.2.2.2.1.1',plain,[-(greater(vd519, vd520))],lemmata('[1].x')).
% 45.45/44.77 %-----------------------------------------------------
% 45.45/44.77 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------