TSTP Solution File: COM133+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : COM133+1 : TPTP v8.1.2. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n013.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 10:14:43 EDT 2023
% Result : Theorem 0.42s 1.38s
% Output : Proof 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : COM133+1 : TPTP v8.1.2. Released v6.4.0.
% 0.06/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n013.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 : Fri May 19 03:17:35 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.42/1.38
% 0.42/1.38 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.42/1.38 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/1.38 %-----------------------------------------------------
% 0.42/1.38 ncf(matrix, plain, [(1255 ^ _272139) ^ [] : [-(vtcheck(1248 ^ [], 1250 ^ [], 1247 ^ []))], (1257 ^ _272139) ^ [] : [-(vtcheck(vbind(1249 ^ [], 1247 ^ [], 1248 ^ []), vabs(1251 ^ [], 1252 ^ [], veabs), 1253 ^ []))], (1259 ^ _272139) ^ [] : [vtcheck(1248 ^ [], vsubst(1249 ^ [], 1250 ^ [], vabs(1251 ^ [], 1252 ^ [], veabs)), 1253 ^ [])], (2 ^ _272139) ^ [_272283] : [-(_272283 = _272283)], (4 ^ _272139) ^ [_272390, _272392] : [_272392 = _272390, -(_272390 = _272392)], (10 ^ _272139) ^ [_272594, _272596, _272598] : [-(_272598 = _272594), _272598 = _272596, _272596 = _272594], (20 ^ _272139) ^ [_272907, _272909] : [-(visSomeType(_272907)), _272909 = _272907, visSomeType(_272909)], (30 ^ _272139) ^ [_273202, _273204] : [-(visValue(_273202)), _273204 = _273202, visValue(_273204)], (40 ^ _272139) ^ [_273497, _273499] : [-(visSomeExp(_273497)), _273499 = _273497, visSomeExp(_273499)], (50 ^ _272139) ^ [_273820, _273822, _273824, _273826] : [-(visFreeVar(_273824, _273820)), visFreeVar(_273826, _273822), _273826 = _273824, _273822 = _273820], (64 ^ _272139) ^ [_274272, _274274, _274276, _274278, _274280, _274282] : [-(vtcheck(_274280, _274276, _274272)), vtcheck(_274282, _274278, _274274), _274282 = _274280, _274278 = _274276, _274274 = _274272], (82 ^ _272139) ^ [_274839, _274841] : [_274841 = _274839, -(vgetSomeType(_274841) = vgetSomeType(_274839))], (88 ^ _272139) ^ [_275057, _275059] : [_275059 = _275057, -(vgensym(_275059) = vgensym(_275057))], (94 ^ _272139) ^ [_275275, _275277] : [_275277 = _275275, -(vsomeExp(_275277) = vsomeExp(_275275))], (100 ^ _272139) ^ [_275493, _275495] : [_275495 = _275493, -(vgetSomeExp(_275495) = vgetSomeExp(_275493))], (106 ^ _272139) ^ [_275711, _275713] : [_275713 = _275711, -(vreduce(_275713) = vreduce(_275711))], (112 ^ _272139) ^ [_275929, _275931] : [_275931 = _275929, -(vvar(_275931) = vvar(_275929))], (118 ^ _272139) ^ [_276147, _276149] : [_276149 = _276147, -(vsomeType(_276149) = vsomeType(_276147))], (124 ^ _272139) ^ [_276393, _276395, _276397, _276399] : [-(vapp(_276399, _276395) = vapp(_276397, _276393)), _276399 = _276397, _276395 = _276393], (134 ^ _272139) ^ [_276752, _276754, _276756, _276758] : [-(varrow(_276758, _276754) = varrow(_276756, _276752)), _276758 = _276756, _276754 = _276752], (144 ^ _272139) ^ [_277111, _277113, _277115, _277117] : [-(vlookup(_277117, _277113) = vlookup(_277115, _277111)), _277117 = _277115, _277113 = _277111], (154 ^ _272139) ^ [_277498, _277500, _277502, _277504, _277506, _277508] : [-(vbind(_277508, _277504, _277500) = vbind(_277506, _277502, _277498)), _277508 = _277506, _277504 = _277502, _277500 = _277498], (168 ^ _272139) ^ [_278014, _278016, _278018, _278020, _278022, _278024] : [-(vsubst(_278024, _278020, _278016) = vsubst(_278022, _278018, _278014)), _278024 = _278022, _278020 = _278018, _278016 = _278014], (182 ^ _272139) ^ [_278510, _278512, _278514, _278516, _278518, _278520] : [-(vabs(_278520, _278516, _278512) = vabs(_278518, _278514, _278510)), _278520 = _278518, _278516 = _278514, _278512 = _278510], (1158 ^ _272139) ^ [_321578, _321580, _321582, _321584, _321586] : [-(vtcheck(vbind(_321586, _321584, _321582), _321580, _321578)), vlookup(_321586, _321582) = vnoType, vtcheck(_321582, _321580, _321578)], (1168 ^ _272139) ^ [_321967, _321969, _321971, _321973, _321975] : [-(vtcheck(_321971, _321969, _321967)), -(visFreeVar(_321975, _321969)), vtcheck(vbind(_321975, _321973, _321971), _321969, _321967)], (1178 ^ _272139) ^ [_322353, _322355, _322357, _322359, _322361] : [-(vtcheck(vbind(_322361, _322359, _322357), _322355, _322353)), -(visFreeVar(_322361, _322355)), vtcheck(_322357, _322355, _322353)], (1188 ^ _272139) ^ [_322739, _322741, _322743, _322745, _322747] : [-(vtcheck(_322745, vsubst(_322743, _322741, veabs), _322739)), vtcheck(_322745, _322741, _322747), vtcheck(vbind(_322743, _322747, _322745), veabs, _322739)], (1198 ^ _272139) ^ [_323174, _323176, _323178, _323180, _323182, _323184, _323186, _323188] : [-(vtcheck(_323186, vsubst(_323184, _323182, vabs(_323180, _323178, _323176)), _323174)), _323184 = _323180, vtcheck(_323186, _323182, _323188), vtcheck(vbind(_323184, _323188, _323186), vabs(_323180, _323178, _323176), _323174)], (1212 ^ _272139) ^ [_323754, _323756, _323758, _323760, _323762, _323764, _323766] : [-(vtcheck(_323764, vsubst(_323762, _323760, vabs(_323758, _323756, veabs)), _323754)), -(_323762 = _323758), -(visFreeVar(_323758, _323760)), vtcheck(_323764, _323760, _323766), vtcheck(vbind(_323762, _323766, _323764), vabs(_323758, _323756, veabs), _323754)], (1230 ^ _272139) ^ [_324415, _324417, _324419, _324421, _324423, _324425, _324427] : [-(vtcheck(_324425, vsubst(_324423, _324421, vabs(_324419, _324417, veabs)), _324415)), -(_324423 = _324419), visFreeVar(_324419, _324421), vtcheck(_324425, _324421, _324427), vtcheck(vbind(_324423, _324427, _324425), vabs(_324419, _324417, veabs), _324415)], (196 ^ _272139) ^ [_279050, _279052] : [vvar(_279052) = vvar(_279050), -(_279052 = _279050)], (202 ^ _272139) ^ [_279220, _279222] : [_279222 = _279220, -(vvar(_279222) = vvar(_279220))], (208 ^ _272139) ^ [_279516, _279518, _279520, _279522, _279524, _279526] : [vabs(_279526, _279524, _279522) = vabs(_279520, _279518, _279516), 211 ^ _272139 : [(212 ^ _272139) ^ [] : [-(_279526 = _279520)], (214 ^ _272139) ^ [] : [-(_279524 = _279518)], (216 ^ _272139) ^ [] : [-(_279522 = _279516)]]], (218 ^ _272139) ^ [_279883, _279885, _279887, _279889, _279891, _279893] : [-(vabs(_279893, _279891, _279889) = vabs(_279887, _279885, _279883)), _279893 = _279887, _279891 = _279885, _279889 = _279883], (232 ^ _272139) ^ [_280393, _280395, _280397, _280399] : [vapp(_280399, _280397) = vapp(_280395, _280393), 235 ^ _272139 : [(236 ^ _272139) ^ [] : [-(_280399 = _280395)], (238 ^ _272139) ^ [] : [-(_280397 = _280393)]]], (240 ^ _272139) ^ [_280658, _280660, _280662, _280664] : [-(vapp(_280664, _280662) = vapp(_280660, _280658)), _280664 = _280660, _280662 = _280658], (250 ^ _272139) ^ [_281003, _281005, _281007, _281009] : [vvar(_281009) = vabs(_281007, _281005, _281003)], (252 ^ _272139) ^ [_281120, _281122, _281124] : [vvar(_281124) = vapp(_281122, _281120)], (254 ^ _272139) ^ [_281262, _281264, _281266, _281268, _281270] : [vabs(_281270, _281268, _281266) = vapp(_281264, _281262)], (256 ^ _272139) ^ [_281412, _281414, _281416, _281418] : [_281412 = vabs(_281418, _281416, _281414), -(visValue(_281412))], (262 ^ _272139) ^ [_281640, _281642] : [_281640 = vvar(_281642), visValue(_281640)], (268 ^ _272139) ^ [_281867, _281869, _281871] : [_281867 = vapp(_281871, _281869), visValue(_281867)], (274 ^ _272139) ^ [_282116, _282118, _282120, _282122] : [_282122 = _282116, _282120 = vvar(_282118), 281 ^ _272139 : [(282 ^ _272139) ^ [] : [_282118 = _282116, -(visFreeVar(_282122, _282120))], (288 ^ _272139) ^ [] : [visFreeVar(_282122, _282120), -(_282118 = _282116)]]], (294 ^ _272139) ^ [_282770, _282772, _282774, _282776, _282778, _282780] : [_282778 = _282772, _282776 = vabs(_282774, _282780, _282770), 301 ^ _272139 : [(312 ^ _272139) ^ [] : [visFreeVar(_282778, _282776), 315 ^ _272139 : [(316 ^ _272139) ^ [] : [_282774 = _282772], (318 ^ _272139) ^ [] : [-(visFreeVar(_282772, _282770))]]], (302 ^ _272139) ^ [] : [-(visFreeVar(_282778, _282776)), -(_282774 = _282772), visFreeVar(_282772, _282770)]]], (320 ^ _272139) ^ [_283646, _283648, _283650, _283652, _283654] : [_283654 = _283648, _283652 = vapp(_283650, _283646), 327 ^ _272139 : [(328 ^ _272139) ^ [] : [329 ^ _272139 : [(330 ^ _272139) ^ [] : [visFreeVar(_283648, _283650)], (332 ^ _272139) ^ [] : [visFreeVar(_283648, _283646)]], -(visFreeVar(_283654, _283652))], (336 ^ _272139) ^ [] : [visFreeVar(_283654, _283652), -(visFreeVar(_283648, _283650)), -(visFreeVar(_283648, _283646))]]], (356 ^ _272139) ^ [] : [357 ^ _272139 : [(358 ^ _272139) ^ [] : [-(true___)], (360 ^ _272139) ^ [] : [true___]], -(vempty = vempty)], (346 ^ _272139) ^ [] : [vempty = vempty, true___, -(true___)], (364 ^ _272139) ^ [_284886, _284888, _284890, _284892, _284894, _284896] : [vbind(_284896, _284894, _284892) = vbind(_284890, _284888, _284886), 367 ^ _272139 : [(368 ^ _272139) ^ [] : [-(_284896 = _284890)], (370 ^ _272139) ^ [] : [-(_284894 = _284888)], (372 ^ _272139) ^ [] : [-(_284892 = _284886)]]], (374 ^ _272139) ^ [_285253, _285255, _285257, _285259, _285261, _285263] : [-(vbind(_285263, _285261, _285259) = vbind(_285257, _285255, _285253)), _285263 = _285257, _285261 = _285255, _285259 = _285253], (398 ^ _272139) ^ [] : [399 ^ _272139 : [(400 ^ _272139) ^ [] : [-(true___)], (402 ^ _272139) ^ [] : [true___]], -(vnoType = vnoType)], (388 ^ _272139) ^ [] : [vnoType = vnoType, true___, -(true___)], (406 ^ _272139) ^ [_286097, _286099] : [vsomeType(_286099) = vsomeType(_286097), -(_286099 = _286097)], (412 ^ _272139) ^ [_286267, _286269] : [_286269 = _286267, -(vsomeType(_286269) = vsomeType(_286267))], (418 ^ _272139) ^ [_286485, _286487, _286489] : [vempty = vbind(_286489, _286487, _286485)], (420 ^ _272139) ^ [_286570] : [vnoType = vsomeType(_286570)], (422 ^ _272139) ^ [_286665] : [_286665 = vnoType, visSomeType(_286665)], (428 ^ _272139) ^ [_286868, _286870] : [_286868 = vsomeType(_286870), -(visSomeType(_286868))], (434 ^ _272139) ^ [_287094, _287096, _287098] : [_287098 = vsomeType(_287094), _287096 = vgetSomeType(_287098), -(_287096 = _287094)], (444 ^ _272139) ^ [_287439, _287441, _287443, _287445] : [_287443 = _287445, _287441 = vempty, _287439 = vlookup(_287443, _287441), -(_287439 = vnoType)], (458 ^ _272139) ^ [_287933, _287935, _287937, _287939, _287941, _287943, _287945] : [_287939 = _287943, _287937 = vbind(_287941, _287933, _287945), _287943 = _287941, _287935 = vlookup(_287939, _287937), -(_287935 = vsomeType(_287933))], (476 ^ _272139) ^ [_288590, _288592, _288594, _288596, _288598, _288600, _288602] : [_288598 = _288592, _288596 = vbind(_288600, _288602, _288590), -(_288592 = _288600), _288594 = vlookup(_288598, _288596), -(_288594 = vlookup(_288592, _288590))], (494 ^ _272139) ^ [_289196, _289198, _289200] : [vlookup(_289200, _289198) = _289196, 500 ^ _272139 : [(501 ^ _272139) ^ [] : [-(_289200 = 499 ^ [_289196, _289198, _289200])], (503 ^ _272139) ^ [] : [-(_289198 = vempty)], (505 ^ _272139) ^ [] : [-(_289196 = vnoType)]], 512 ^ _272139 : [(513 ^ _272139) ^ [] : [-(_289200 = 509 ^ [_289196, _289198, _289200])], (515 ^ _272139) ^ [] : [-(_289198 = vbind(510 ^ [_289196, _289198, _289200], 511 ^ [_289196, _289198, _289200], 508 ^ [_289196, _289198, _289200]))], (517 ^ _272139) ^ [] : [-(509 ^ [_289196, _289198, _289200] = 510 ^ [_289196, _289198, _289200])], (519 ^ _272139) ^ [] : [-(_289196 = vsomeType(511 ^ [_289196, _289198, _289200]))]], 524 ^ _272139 : [(525 ^ _272139) ^ [] : [-(_289200 = 522 ^ [_289196, _289198, _289200])], (527 ^ _272139) ^ [] : [-(_289198 = vbind(521 ^ [_289196, _289198, _289200], 520 ^ [_289196, _289198, _289200], 523 ^ [_289196, _289198, _289200]))], (529 ^ _272139) ^ [] : [522 ^ [_289196, _289198, _289200] = 521 ^ [_289196, _289198, _289200]], (531 ^ _272139) ^ [] : [-(_289196 = vlookup(522 ^ [_289196, _289198, _289200], 523 ^ [_289196, _289198, _289200]))]]], (533 ^ _272139) ^ [_291391, _291393, _291395, _291397, _291399, _291401, _291403] : [-(vtcheck(vbind(_291399, _291397, _291395), _291393, _291391)), _291399 = _291403, vtcheck(vbind(_291399, _291397, vbind(_291403, _291401, _291395)), _291393, _291391)], (543 ^ _272139) ^ [_291838, _291840, _291842, _291844, _291846, _291848, _291850] : [-(vtcheck(vbind(_291850, _291848, vbind(_291846, _291844, _291842)), _291840, _291838)), -(_291846 = _291850), vtcheck(vbind(_291846, _291844, vbind(_291850, _291848, _291842)), _291840, _291838)], (553 ^ _272139) ^ [_292226, _292228] : [vgensym(_292226) = _292228, visFreeVar(_292228, _292226)], (559 ^ _272139) ^ [_292511, _292513, _292515, _292517, _292519, _292521, _292523] : [_292519 = _292523, _292517 = _292511, _292515 = vvar(_292521), _292523 = _292521, _292513 = vsubst(_292519, _292517, _292515), -(_292513 = _292511)], (581 ^ _272139) ^ [_293273, _293275, _293277, _293279, _293281, _293283, _293285] : [_293281 = _293283, _293279 = _293285, _293277 = vvar(_293273), -(_293283 = _293273), _293275 = vsubst(_293281, _293279, _293277), -(_293275 = vvar(_293273))], (603 ^ _272139) ^ [_294056, _294058, _294060, _294062, _294064, _294066, _294068, _294070] : [_294064 = vsubst(_294070, _294068, _294066), -(_294064 = vapp(vsubst(_294060, _294058, _294062), vsubst(_294060, _294058, _294056))), _294070 = _294060, _294068 = _294058, _294066 = vapp(_294062, _294056)], (621 ^ _272139) ^ [_294777, _294779, _294781, _294783, _294785, _294787, _294789, _294791, _294793] : [_294789 = _294791, _294787 = _294793, _294785 = vabs(_294781, _294779, _294777), _294791 = _294781, _294783 = vsubst(_294789, _294787, _294785), -(_294783 = vabs(_294781, _294779, _294777))], (643 ^ _272139) ^ [_295637, _295639, _295641, _295643, _295645, _295647, _295649, _295651, _295653, _295655] : [_295655 = _295647, _295653 = _295645, _295651 = vabs(_295641, _295643, _295637), _295649 = vsubst(_295655, _295653, _295651), -(_295649 = vsubst(_295647, _295645, vabs(_295639, _295643, vsubst(_295641, vvar(_295639), _295637)))), -(_295647 = _295641), visFreeVar(_295641, _295645), _295639 = vgensym(vapp(vapp(_295645, _295637), vvar(_295647)))], (673 ^ _272139) ^ [_296792, _296794, _296796, _296798, _296800, _296802, _296804, _296806, _296808] : [_296808 = _296796, _296806 = _296794, _296804 = vabs(_296800, _296798, _296792), -(_296796 = _296800), -(visFreeVar(_296800, _296794)), _296802 = vsubst(_296808, _296806, _296804), -(_296802 = vabs(_296800, _296798, vsubst(_296796, _296794, _296792)))], (699 ^ _272139) ^ [_297701, _297703, _297705, _297707] : [vsubst(_297707, _297705, _297703) = _297701, 707 ^ _272139 : [(708 ^ _272139) ^ [] : [-(_297707 = 704 ^ [_297701, _297703, _297705, _297707])], (710 ^ _272139) ^ [] : [-(_297705 = 706 ^ [_297701, _297703, _297705, _297707])], (712 ^ _272139) ^ [] : [-(_297703 = vvar(705 ^ [_297701, _297703, _297705, _297707]))], (714 ^ _272139) ^ [] : [-(704 ^ [_297701, _297703, _297705, _297707] = 705 ^ [_297701, _297703, _297705, _297707])], (716 ^ _272139) ^ [] : [-(_297701 = 706 ^ [_297701, _297703, _297705, _297707])]], 722 ^ _272139 : [(723 ^ _272139) ^ [] : [-(_297707 = 720 ^ [_297701, _297703, _297705, _297707])], (725 ^ _272139) ^ [] : [-(_297705 = 719 ^ [_297701, _297703, _297705, _297707])], (727 ^ _272139) ^ [] : [-(_297703 = vvar(721 ^ [_297701, _297703, _297705, _297707]))], (729 ^ _272139) ^ [] : [720 ^ [_297701, _297703, _297705, _297707] = 721 ^ [_297701, _297703, _297705, _297707]], (731 ^ _272139) ^ [] : [-(_297701 = vvar(721 ^ [_297701, _297703, _297705, _297707]))]], 738 ^ _272139 : [(739 ^ _272139) ^ [] : [-(_297707 = 735 ^ [_297701, _297703, _297705, _297707])], (741 ^ _272139) ^ [] : [-(_297705 = 736 ^ [_297701, _297703, _297705, _297707])], (743 ^ _272139) ^ [] : [-(_297703 = vapp(734 ^ [_297701, _297703, _297705, _297707], 737 ^ [_297701, _297703, _297705, _297707]))], (745 ^ _272139) ^ [] : [-(_297701 = vapp(vsubst(735 ^ [_297701, _297703, _297705, _297707], 736 ^ [_297701, _297703, _297705, _297707], 734 ^ [_297701, _297703, _297705, _297707]), vsubst(735 ^ [_297701, _297703, _297705, _297707], 736 ^ [_297701, _297703, _297705, _297707], 737 ^ [_297701, _297703, _297705, _297707])))]], 753 ^ _272139 : [(754 ^ _272139) ^ [] : [-(_297707 = 749 ^ [_297701, _297703, _297705, _297707])], (756 ^ _272139) ^ [] : [-(_297705 = 748 ^ [_297701, _297703, _297705, _297707])], (758 ^ _272139) ^ [] : [-(_297703 = vabs(750 ^ [_297701, _297703, _297705, _297707], 751 ^ [_297701, _297703, _297705, _297707], 752 ^ [_297701, _297703, _297705, _297707]))], (760 ^ _272139) ^ [] : [-(749 ^ [_297701, _297703, _297705, _297707] = 750 ^ [_297701, _297703, _297705, _297707])], (762 ^ _272139) ^ [] : [-(_297701 = vabs(750 ^ [_297701, _297703, _297705, _297707], 751 ^ [_297701, _297703, _297705, _297707], 752 ^ [_297701, _297703, _297705, _297707]))]], 771 ^ _272139 : [(772 ^ _272139) ^ [] : [-(_297707 = 765 ^ [_297701, _297703, _297705, _297707])], (774 ^ _272139) ^ [] : [-(_297705 = 766 ^ [_297701, _297703, _297705, _297707])], (776 ^ _272139) ^ [] : [-(_297703 = vabs(768 ^ [_297701, _297703, _297705, _297707], 767 ^ [_297701, _297703, _297705, _297707], 770 ^ [_297701, _297703, _297705, _297707]))], (778 ^ _272139) ^ [] : [765 ^ [_297701, _297703, _297705, _297707] = 768 ^ [_297701, _297703, _297705, _297707]], (780 ^ _272139) ^ [] : [-(visFreeVar(768 ^ [_297701, _297703, _297705, _297707], 766 ^ [_297701, _297703, _297705, _297707]))], (782 ^ _272139) ^ [] : [-(769 ^ [_297701, _297703, _297705, _297707] = vgensym(vapp(vapp(766 ^ [_297701, _297703, _297705, _297707], 770 ^ [_297701, _297703, _297705, _297707]), vvar(765 ^ [_297701, _297703, _297705, _297707]))))], (784 ^ _272139) ^ [] : [-(_297701 = vsubst(765 ^ [_297701, _297703, _297705, _297707], 766 ^ [_297701, _297703, _297705, _297707], vabs(769 ^ [_297701, _297703, _297705, _297707], 767 ^ [_297701, _297703, _297705, _297707], vsubst(768 ^ [_297701, _297703, _297705, _297707], vvar(769 ^ [_297701, _297703, _297705, _297707]), 770 ^ [_297701, _297703, _297705, _297707]))))]], 790 ^ _272139 : [(791 ^ _272139) ^ [] : [-(_297707 = 787 ^ [_297701, _297703, _297705, _297707])], (793 ^ _272139) ^ [] : [-(_297705 = 788 ^ [_297701, _297703, _297705, _297707])], (795 ^ _272139) ^ [] : [-(_297703 = vabs(785 ^ [_297701, _297703, _297705, _297707], 786 ^ [_297701, _297703, _297705, _297707], 789 ^ [_297701, _297703, _297705, _297707]))], (797 ^ _272139) ^ [] : [787 ^ [_297701, _297703, _297705, _297707] = 785 ^ [_297701, _297703, _297705, _297707]], (799 ^ _272139) ^ [] : [visFreeVar(785 ^ [_297701, _297703, _297705, _297707], 788 ^ [_297701, _297703, _297705, _297707])], (801 ^ _272139) ^ [] : [-(_297701 = vabs(785 ^ [_297701, _297703, _297705, _297707], 786 ^ [_297701, _297703, _297705, _297707], vsubst(787 ^ [_297701, _297703, _297705, _297707], 788 ^ [_297701, _297703, _297705, _297707], 789 ^ [_297701, _297703, _297705, _297707])))]]], (813 ^ _272139) ^ [] : [814 ^ _272139 : [(815 ^ _272139) ^ [] : [-(true___)], (817 ^ _272139) ^ [] : [true___]], -(vnoExp = vnoExp)], (803 ^ _272139) ^ [] : [vnoExp = vnoExp, true___, -(true___)], (821 ^ _272139) ^ [_305925, _305927] : [vsomeExp(_305927) = vsomeExp(_305925), -(_305927 = _305925)], (827 ^ _272139) ^ [_306095, _306097] : [_306097 = _306095, -(vsomeExp(_306097) = vsomeExp(_306095))], (833 ^ _272139) ^ [_306285] : [vnoExp = vsomeExp(_306285)], (835 ^ _272139) ^ [_306380] : [_306380 = vnoExp, visSomeExp(_306380)], (841 ^ _272139) ^ [_306583, _306585] : [_306583 = vsomeExp(_306585), -(visSomeExp(_306583))], (847 ^ _272139) ^ [_306809, _306811, _306813] : [_306813 = vsomeExp(_306809), _306811 = vgetSomeExp(_306813), -(_306811 = _306809)], (857 ^ _272139) ^ [_307140, _307142, _307144] : [_307142 = vvar(_307144), _307140 = vreduce(_307142), -(_307140 = vnoExp)], (867 ^ _272139) ^ [_307499, _307501, _307503, _307505, _307507] : [_307501 = vabs(_307507, _307505, _307503), _307499 = vreduce(_307501), -(_307499 = vnoExp)], (877 ^ _272139) ^ [_307910, _307912, _307914, _307916, _307918, _307920, _307922] : [_307920 = vapp(vabs(_307916, _307914, _307912), _307922), _307910 = vreduce(_307922), visSomeExp(_307910), _307918 = vreduce(_307920), -(_307918 = vsomeExp(vapp(vabs(_307916, _307914, _307912), vgetSomeExp(_307910))))], (895 ^ _272139) ^ [_308591, _308593, _308595, _308597, _308599, _308601, _308603] : [_308599 = vapp(vabs(_308595, _308603, _308591), _308593), _308597 = vreduce(_308599), -(_308597 = vsomeExp(vsubst(_308595, _308593, _308591))), _308601 = vreduce(_308593), -(visSomeExp(_308601)), visValue(_308593)], (917 ^ _272139) ^ [_309372, _309374, _309376, _309378, _309380, _309382, _309384] : [_309374 = vapp(vabs(_309384, _309382, _309380), _309376), _309372 = vreduce(_309374), -(_309372 = vnoExp), _309378 = vreduce(_309376), -(visSomeExp(_309378)), -(visValue(_309376))], (939 ^ _272139) ^ [_310116, _310118, _310120, _310122, _310124] : [_310122 = vapp(_310124, _310116), -(_310124 = vabs(944 ^ [_310116, _310118, _310120, _310122, _310124], 945 ^ [_310116, _310118, _310120, _310122, _310124], 946 ^ [_310116, _310118, _310120, _310122, _310124])), _310118 = vreduce(_310124), visSomeExp(_310118), _310120 = vreduce(_310122), -(_310120 = vsomeExp(vapp(vgetSomeExp(_310118), _310116)))], (964 ^ _272139) ^ [_311128, _311130, _311132, _311134, _311136] : [_311130 = vapp(_311134, _311136), -(_311134 = vabs(969 ^ [_311128, _311130, _311132, _311134, _311136], 970 ^ [_311128, _311130, _311132, _311134, _311136], 971 ^ [_311128, _311130, _311132, _311134, _311136])), _311132 = vreduce(_311134), -(visSomeExp(_311132)), _311128 = vreduce(_311130), -(_311128 = vnoExp)], (989 ^ _272139) ^ [_312087, _312089] : [vreduce(_312089) = _312087, 995 ^ _272139 : [(996 ^ _272139) ^ [] : [-(_312089 = vvar(994 ^ [_312087, _312089]))], (998 ^ _272139) ^ [] : [-(_312087 = vnoExp)]], 1004 ^ _272139 : [(1005 ^ _272139) ^ [] : [-(_312089 = vabs(1001 ^ [_312087, _312089], 1002 ^ [_312087, _312089], 1003 ^ [_312087, _312089]))], (1007 ^ _272139) ^ [] : [-(_312087 = vnoExp)]], 1015 ^ _272139 : [(1016 ^ _272139) ^ [] : [-(_312089 = vapp(vabs(1011 ^ [_312087, _312089], 1012 ^ [_312087, _312089], 1013 ^ [_312087, _312089]), 1010 ^ [_312087, _312089]))], (1018 ^ _272139) ^ [] : [-(1014 ^ [_312087, _312089] = vreduce(1010 ^ [_312087, _312089]))], (1020 ^ _272139) ^ [] : [-(visSomeExp(1014 ^ [_312087, _312089]))], (1022 ^ _272139) ^ [] : [-(_312087 = vsomeExp(vapp(vabs(1011 ^ [_312087, _312089], 1012 ^ [_312087, _312089], 1013 ^ [_312087, _312089]), vgetSomeExp(1014 ^ [_312087, _312089]))))]], 1030 ^ _272139 : [(1031 ^ _272139) ^ [] : [-(_312089 = vapp(vabs(1027 ^ [_312087, _312089], 1025 ^ [_312087, _312089], 1029 ^ [_312087, _312089]), 1028 ^ [_312087, _312089]))], (1033 ^ _272139) ^ [] : [-(1026 ^ [_312087, _312089] = vreduce(1028 ^ [_312087, _312089]))], (1035 ^ _272139) ^ [] : [visSomeExp(1026 ^ [_312087, _312089])], (1037 ^ _272139) ^ [] : [-(visValue(1028 ^ [_312087, _312089]))], (1039 ^ _272139) ^ [] : [-(_312087 = vsomeExp(vsubst(1027 ^ [_312087, _312089], 1028 ^ [_312087, _312089], 1029 ^ [_312087, _312089])))]], 1047 ^ _272139 : [(1048 ^ _272139) ^ [] : [-(_312089 = vapp(vabs(1042 ^ [_312087, _312089], 1043 ^ [_312087, _312089], 1044 ^ [_312087, _312089]), 1046 ^ [_312087, _312089]))], (1050 ^ _272139) ^ [] : [-(1045 ^ [_312087, _312089] = vreduce(1046 ^ [_312087, _312089]))], (1052 ^ _272139) ^ [] : [visSomeExp(1045 ^ [_312087, _312089])], (1054 ^ _272139) ^ [] : [visValue(1046 ^ [_312087, _312089])], (1056 ^ _272139) ^ [] : [-(_312087 = vnoExp)]], 1062 ^ _272139 : [(1063 ^ _272139) ^ [] : [-(_312089 = vapp(1059 ^ [_312087, _312089], 1061 ^ [_312087, _312089]))], (1065 ^ _272139) ^ [_316685, _316687, _316689] : [1059 ^ [_312087, _312089] = vabs(_316689, _316687, _316685)], (1067 ^ _272139) ^ [] : [-(1060 ^ [_312087, _312089] = vreduce(1059 ^ [_312087, _312089]))], (1069 ^ _272139) ^ [] : [-(visSomeExp(1060 ^ [_312087, _312089]))], (1071 ^ _272139) ^ [] : [-(_312087 = vsomeExp(vapp(vgetSomeExp(1060 ^ [_312087, _312089]), 1061 ^ [_312087, _312089])))]], 1075 ^ _272139 : [(1076 ^ _272139) ^ [] : [-(_312089 = vapp(1073 ^ [_312087, _312089], 1072 ^ [_312087, _312089]))], (1078 ^ _272139) ^ [_317459, _317461, _317463] : [1073 ^ [_312087, _312089] = vabs(_317463, _317461, _317459)], (1080 ^ _272139) ^ [] : [-(1074 ^ [_312087, _312089] = vreduce(1073 ^ [_312087, _312089]))], (1082 ^ _272139) ^ [] : [visSomeExp(1074 ^ [_312087, _312089])], (1084 ^ _272139) ^ [] : [-(_312087 = vnoExp)]]], (1086 ^ _272139) ^ [_317875, _317877, _317879, _317881] : [varrow(_317881, _317879) = varrow(_317877, _317875), 1089 ^ _272139 : [(1090 ^ _272139) ^ [] : [-(_317881 = _317877)], (1092 ^ _272139) ^ [] : [-(_317879 = _317875)]]], (1094 ^ _272139) ^ [_318140, _318142, _318144, _318146] : [-(varrow(_318146, _318144) = varrow(_318142, _318140)), _318146 = _318142, _318144 = _318140], (1104 ^ _272139) ^ [_318487, _318489, _318491] : [vlookup(_318489, _318491) = vsomeType(_318487), -(vtcheck(_318491, vvar(_318489), _318487))], (1110 ^ _272139) ^ [_318761, _318763, _318765, _318767, _318769] : [vtcheck(vbind(_318767, _318763, _318769), _318765, _318761), -(vtcheck(_318769, vabs(_318767, _318763, _318765), varrow(_318763, _318761)))], (1116 ^ _272139) ^ [_319057, _319059, _319061, _319063, _319065] : [-(vtcheck(_319063, vapp(_319061, _319059), _319057)), vtcheck(_319063, _319061, varrow(_319065, _319057)), vtcheck(_319063, _319059, _319065)], (1126 ^ _272139) ^ [_319398, _319400, _319402] : [vtcheck(_319398, _319402, _319400), 1132 ^ _272139 : [(1133 ^ _272139) ^ [] : [-(_319402 = vvar(1131 ^ [_319398, _319400, _319402]))], (1135 ^ _272139) ^ [] : [-(vlookup(1131 ^ [_319398, _319400, _319402], _319398) = vsomeType(_319400))]], 1142 ^ _272139 : [(1143 ^ _272139) ^ [] : [-(_319402 = vabs(1138 ^ [_319398, _319400, _319402], 1140 ^ [_319398, _319400, _319402], 1139 ^ [_319398, _319400, _319402]))], (1145 ^ _272139) ^ [] : [-(_319400 = varrow(1140 ^ [_319398, _319400, _319402], 1141 ^ [_319398, _319400, _319402]))], (1147 ^ _272139) ^ [] : [-(vtcheck(vbind(1138 ^ [_319398, _319400, _319402], 1140 ^ [_319398, _319400, _319402], _319398), 1139 ^ [_319398, _319400, _319402], 1141 ^ [_319398, _319400, _319402]))]], 1151 ^ _272139 : [(1152 ^ _272139) ^ [] : [-(_319402 = vapp(1148 ^ [_319398, _319400, _319402], 1149 ^ [_319398, _319400, _319402]))], (1154 ^ _272139) ^ [] : [-(vtcheck(_319398, 1148 ^ [_319398, _319400, _319402], varrow(1150 ^ [_319398, _319400, _319402], _319400)))], (1156 ^ _272139) ^ [] : [-(vtcheck(_319398, 1149 ^ [_319398, _319400, _319402], 1150 ^ [_319398, _319400, _319402]))]]]], input).
% 0.42/1.38 ncf('1',plain,[vtcheck(1248 ^ [], vsubst(1249 ^ [], 1250 ^ [], vabs(1251 ^ [], 1252 ^ [], veabs)), 1253 ^ [])],start(1259 ^ 0)).
% 0.42/1.38 ncf('1.1',plain,[-(vtcheck(1248 ^ [], vsubst(1249 ^ [], 1250 ^ [], vabs(1251 ^ [], 1252 ^ [], veabs)), 1253 ^ [])), -(1249 ^ [] = 1251 ^ []), -(visFreeVar(1251 ^ [], 1250 ^ [])), vtcheck(1248 ^ [], 1250 ^ [], 1247 ^ []), vtcheck(vbind(1249 ^ [], 1247 ^ [], 1248 ^ []), vabs(1251 ^ [], 1252 ^ [], veabs), 1253 ^ [])],extension(1212 ^ 1,bind([[_323754, _323756, _323758, _323760, _323762, _323764, _323766], [1253 ^ [], 1252 ^ [], 1251 ^ [], 1250 ^ [], 1249 ^ [], 1248 ^ [], 1247 ^ []]]))).
% 0.42/1.38 ncf('1.1.1',plain,[1249 ^ [] = 1251 ^ [], -(vtcheck(1248 ^ [], vsubst(1249 ^ [], 1250 ^ [], vabs(1251 ^ [], 1252 ^ [], veabs)), 1253 ^ [])), vtcheck(1248 ^ [], 1250 ^ [], 1247 ^ []), vtcheck(vbind(1249 ^ [], 1247 ^ [], 1248 ^ []), vabs(1251 ^ [], 1252 ^ [], veabs), 1253 ^ [])],extension(1198 ^ 2,bind([[_323174, _323176, _323178, _323180, _323182, _323184, _323186, _323188], [1253 ^ [], veabs, 1252 ^ [], 1251 ^ [], 1250 ^ [], 1249 ^ [], 1248 ^ [], 1247 ^ []]]))).
% 0.42/1.38 ncf('1.1.1.1',plain,[vtcheck(1248 ^ [], vsubst(1249 ^ [], 1250 ^ [], vabs(1251 ^ [], 1252 ^ [], veabs)), 1253 ^ [])],reduction('1')).
% 0.42/1.38 ncf('1.1.1.2',plain,[-(vtcheck(1248 ^ [], 1250 ^ [], 1247 ^ []))],extension(1255 ^ 3)).
% 0.42/1.38 ncf('1.1.1.3',plain,[-(vtcheck(vbind(1249 ^ [], 1247 ^ [], 1248 ^ []), vabs(1251 ^ [], 1252 ^ [], veabs), 1253 ^ []))],extension(1257 ^ 3)).
% 0.42/1.38 ncf('1.1.2',plain,[visFreeVar(1251 ^ [], 1250 ^ []), -(vtcheck(1248 ^ [], vsubst(1249 ^ [], 1250 ^ [], vabs(1251 ^ [], 1252 ^ [], veabs)), 1253 ^ [])), -(1249 ^ [] = 1251 ^ []), vtcheck(1248 ^ [], 1250 ^ [], 1247 ^ []), vtcheck(vbind(1249 ^ [], 1247 ^ [], 1248 ^ []), vabs(1251 ^ [], 1252 ^ [], veabs), 1253 ^ [])],extension(1230 ^ 2,bind([[_324415, _324417, _324419, _324421, _324423, _324425, _324427], [1253 ^ [], 1252 ^ [], 1251 ^ [], 1250 ^ [], 1249 ^ [], 1248 ^ [], 1247 ^ []]]))).
% 0.42/1.38 ncf('1.1.2.1',plain,[vtcheck(1248 ^ [], vsubst(1249 ^ [], 1250 ^ [], vabs(1251 ^ [], 1252 ^ [], veabs)), 1253 ^ [])],reduction('1')).
% 0.42/1.38 ncf('1.1.2.2',plain,[1249 ^ [] = 1251 ^ []],lemmata('[1].x')).
% 0.42/1.38 ncf('1.1.2.3',plain,[-(vtcheck(1248 ^ [], 1250 ^ [], 1247 ^ []))],extension(1255 ^ 3)).
% 0.42/1.38 ncf('1.1.2.4',plain,[-(vtcheck(vbind(1249 ^ [], 1247 ^ [], 1248 ^ []), vabs(1251 ^ [], 1252 ^ [], veabs), 1253 ^ []))],extension(1257 ^ 3)).
% 0.42/1.38 ncf('1.1.3',plain,[-(vtcheck(1248 ^ [], 1250 ^ [], 1247 ^ []))],extension(1255 ^ 2)).
% 0.42/1.38 ncf('1.1.4',plain,[-(vtcheck(vbind(1249 ^ [], 1247 ^ [], 1248 ^ []), vabs(1251 ^ [], 1252 ^ [], veabs), 1253 ^ []))],extension(1257 ^ 2)).
% 0.42/1.38 %-----------------------------------------------------
% 0.42/1.38 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------