TSTP Solution File: COM125+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : COM125+1 : TPTP v8.1.2. Released v6.4.0.
% 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 10:14:43 EDT 2023
% Result : Theorem 0.42s 1.40s
% Output : Proof 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : COM125+1 : TPTP v8.1.2. Released v6.4.0.
% 0.07/0.14 % Command : nanocop.sh %s %d
% 0.14/0.35 % Computer : n003.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 : Fri May 19 03:21:15 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.42/1.40
% 0.42/1.40 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.42/1.40 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/1.40 %-----------------------------------------------------
% 0.42/1.40 ncf(matrix, plain, [(1222 ^ _261821) ^ [] : [visFreeVar(1215 ^ [], vabs(1218 ^ [], 1219 ^ [], veabs))], (1224 ^ _261821) ^ [] : [-(vtcheck(1217 ^ [], vabs(1218 ^ [], 1219 ^ [], veabs), 1220 ^ []))], (1226 ^ _261821) ^ [] : [vtcheck(vbind(1215 ^ [], 1216 ^ [], 1217 ^ []), vabs(1218 ^ [], 1219 ^ [], veabs), 1220 ^ [])], (2 ^ _261821) ^ [_261965] : [-(_261965 = _261965)], (4 ^ _261821) ^ [_262072, _262074] : [_262074 = _262072, -(_262072 = _262074)], (10 ^ _261821) ^ [_262276, _262278, _262280] : [-(_262280 = _262276), _262280 = _262278, _262278 = _262276], (20 ^ _261821) ^ [_262589, _262591] : [-(visSomeType(_262589)), _262591 = _262589, visSomeType(_262591)], (30 ^ _261821) ^ [_262884, _262886] : [-(visValue(_262884)), _262886 = _262884, visValue(_262886)], (40 ^ _261821) ^ [_263179, _263181] : [-(visSomeExp(_263179)), _263181 = _263179, visSomeExp(_263181)], (50 ^ _261821) ^ [_263502, _263504, _263506, _263508] : [-(visFreeVar(_263506, _263502)), visFreeVar(_263508, _263504), _263508 = _263506, _263504 = _263502], (64 ^ _261821) ^ [_263954, _263956, _263958, _263960, _263962, _263964] : [-(vtcheck(_263962, _263958, _263954)), vtcheck(_263964, _263960, _263956), _263964 = _263962, _263960 = _263958, _263956 = _263954], (82 ^ _261821) ^ [_264521, _264523] : [_264523 = _264521, -(vgetSomeType(_264523) = vgetSomeType(_264521))], (88 ^ _261821) ^ [_264739, _264741] : [_264741 = _264739, -(vgensym(_264741) = vgensym(_264739))], (94 ^ _261821) ^ [_265013, _265015, _265017, _265019, _265021, _265023] : [-(vsubst(_265023, _265019, _265015) = vsubst(_265021, _265017, _265013)), _265023 = _265021, _265019 = _265017, _265015 = _265013], (108 ^ _261821) ^ [_265473, _265475] : [_265475 = _265473, -(vsomeExp(_265475) = vsomeExp(_265473))], (114 ^ _261821) ^ [_265691, _265693] : [_265693 = _265691, -(vgetSomeExp(_265693) = vgetSomeExp(_265691))], (120 ^ _261821) ^ [_265909, _265911] : [_265911 = _265909, -(vreduce(_265911) = vreduce(_265909))], (126 ^ _261821) ^ [_266127, _266129] : [_266129 = _266127, -(vvar(_266129) = vvar(_266127))], (132 ^ _261821) ^ [_266345, _266347] : [_266347 = _266345, -(vsomeType(_266347) = vsomeType(_266345))], (138 ^ _261821) ^ [_266591, _266593, _266595, _266597] : [-(vapp(_266597, _266593) = vapp(_266595, _266591)), _266597 = _266595, _266593 = _266591], (148 ^ _261821) ^ [_266950, _266952, _266954, _266956] : [-(varrow(_266956, _266952) = varrow(_266954, _266950)), _266956 = _266954, _266952 = _266950], (158 ^ _261821) ^ [_267309, _267311, _267313, _267315] : [-(vlookup(_267315, _267311) = vlookup(_267313, _267309)), _267315 = _267313, _267311 = _267309], (168 ^ _261821) ^ [_267696, _267698, _267700, _267702, _267704, _267706] : [-(vbind(_267706, _267702, _267698) = vbind(_267704, _267700, _267696)), _267706 = _267704, _267702 = _267700, _267698 = _267696], (182 ^ _261821) ^ [_268192, _268194, _268196, _268198, _268200, _268202] : [-(vabs(_268202, _268198, _268194) = vabs(_268200, _268196, _268192)), _268202 = _268200, _268198 = _268196, _268194 = _268192], (1158 ^ _261821) ^ [_311260, _311262, _311264, _311266, _311268] : [-(vtcheck(vbind(_311268, _311266, _311264), _311262, _311260)), vlookup(_311268, _311264) = vnoType, vtcheck(_311264, _311262, _311260)], (1168 ^ _261821) ^ [_311649, _311651, _311653, _311655, _311657] : [-(vtcheck(_311653, _311651, _311649)), -(visFreeVar(_311657, _311651)), vtcheck(vbind(_311657, _311655, _311653), _311651, _311649)], (1178 ^ _261821) ^ [_312021, _312023, _312025, _312027] : [-(vtcheck(vbind(_312027, _312025, _312023), veabs, _312021)), -(visFreeVar(_312027, veabs)), vtcheck(_312023, veabs, _312021)], (1188 ^ _261821) ^ [_312411, _312413, _312415, _312417, _312419, _312421] : [-(vtcheck(vbind(_312421, _312419, _312417), vabs(_312415, _312413, veabs), _312411)), -(_312421 = _312415), -(visFreeVar(_312421, vabs(_312415, _312413, veabs))), vtcheck(_312417, vabs(_312415, _312413, veabs), _312411)], (1202 ^ _261821) ^ [_312933, _312935, _312937, _312939, _312941, _312943] : [-(vtcheck(vbind(_312943, _312941, _312939), vabs(_312937, _312935, veabs), _312933)), _312943 = _312937, -(visFreeVar(_312943, vabs(_312937, _312935, veabs))), vtcheck(_312939, vabs(_312937, _312935, veabs), _312933)], (196 ^ _261821) ^ [_268732, _268734] : [vvar(_268734) = vvar(_268732), -(_268734 = _268732)], (202 ^ _261821) ^ [_268902, _268904] : [_268904 = _268902, -(vvar(_268904) = vvar(_268902))], (208 ^ _261821) ^ [_269198, _269200, _269202, _269204, _269206, _269208] : [vabs(_269208, _269206, _269204) = vabs(_269202, _269200, _269198), 211 ^ _261821 : [(212 ^ _261821) ^ [] : [-(_269208 = _269202)], (214 ^ _261821) ^ [] : [-(_269206 = _269200)], (216 ^ _261821) ^ [] : [-(_269204 = _269198)]]], (218 ^ _261821) ^ [_269565, _269567, _269569, _269571, _269573, _269575] : [-(vabs(_269575, _269573, _269571) = vabs(_269569, _269567, _269565)), _269575 = _269569, _269573 = _269567, _269571 = _269565], (232 ^ _261821) ^ [_270075, _270077, _270079, _270081] : [vapp(_270081, _270079) = vapp(_270077, _270075), 235 ^ _261821 : [(236 ^ _261821) ^ [] : [-(_270081 = _270077)], (238 ^ _261821) ^ [] : [-(_270079 = _270075)]]], (240 ^ _261821) ^ [_270340, _270342, _270344, _270346] : [-(vapp(_270346, _270344) = vapp(_270342, _270340)), _270346 = _270342, _270344 = _270340], (250 ^ _261821) ^ [_270685, _270687, _270689, _270691] : [vvar(_270691) = vabs(_270689, _270687, _270685)], (252 ^ _261821) ^ [_270802, _270804, _270806] : [vvar(_270806) = vapp(_270804, _270802)], (254 ^ _261821) ^ [_270944, _270946, _270948, _270950, _270952] : [vabs(_270952, _270950, _270948) = vapp(_270946, _270944)], (256 ^ _261821) ^ [_271094, _271096, _271098, _271100] : [_271094 = vabs(_271100, _271098, _271096), -(visValue(_271094))], (262 ^ _261821) ^ [_271322, _271324] : [_271322 = vvar(_271324), visValue(_271322)], (268 ^ _261821) ^ [_271549, _271551, _271553] : [_271549 = vapp(_271553, _271551), visValue(_271549)], (274 ^ _261821) ^ [_271798, _271800, _271802, _271804] : [_271804 = _271798, _271802 = vvar(_271800), 281 ^ _261821 : [(282 ^ _261821) ^ [] : [_271800 = _271798, -(visFreeVar(_271804, _271802))], (288 ^ _261821) ^ [] : [visFreeVar(_271804, _271802), -(_271800 = _271798)]]], (294 ^ _261821) ^ [_272452, _272454, _272456, _272458, _272460, _272462] : [_272460 = _272454, _272458 = vabs(_272456, _272462, _272452), 301 ^ _261821 : [(312 ^ _261821) ^ [] : [visFreeVar(_272460, _272458), 315 ^ _261821 : [(316 ^ _261821) ^ [] : [_272456 = _272454], (318 ^ _261821) ^ [] : [-(visFreeVar(_272454, _272452))]]], (302 ^ _261821) ^ [] : [-(visFreeVar(_272460, _272458)), -(_272456 = _272454), visFreeVar(_272454, _272452)]]], (320 ^ _261821) ^ [_273328, _273330, _273332, _273334, _273336] : [_273336 = _273330, _273334 = vapp(_273332, _273328), 327 ^ _261821 : [(328 ^ _261821) ^ [] : [329 ^ _261821 : [(330 ^ _261821) ^ [] : [visFreeVar(_273330, _273332)], (332 ^ _261821) ^ [] : [visFreeVar(_273330, _273328)]], -(visFreeVar(_273336, _273334))], (336 ^ _261821) ^ [] : [visFreeVar(_273336, _273334), -(visFreeVar(_273330, _273332)), -(visFreeVar(_273330, _273328))]]], (356 ^ _261821) ^ [] : [357 ^ _261821 : [(358 ^ _261821) ^ [] : [-(true___)], (360 ^ _261821) ^ [] : [true___]], -(vempty = vempty)], (346 ^ _261821) ^ [] : [vempty = vempty, true___, -(true___)], (364 ^ _261821) ^ [_274568, _274570, _274572, _274574, _274576, _274578] : [vbind(_274578, _274576, _274574) = vbind(_274572, _274570, _274568), 367 ^ _261821 : [(368 ^ _261821) ^ [] : [-(_274578 = _274572)], (370 ^ _261821) ^ [] : [-(_274576 = _274570)], (372 ^ _261821) ^ [] : [-(_274574 = _274568)]]], (374 ^ _261821) ^ [_274935, _274937, _274939, _274941, _274943, _274945] : [-(vbind(_274945, _274943, _274941) = vbind(_274939, _274937, _274935)), _274945 = _274939, _274943 = _274937, _274941 = _274935], (398 ^ _261821) ^ [] : [399 ^ _261821 : [(400 ^ _261821) ^ [] : [-(true___)], (402 ^ _261821) ^ [] : [true___]], -(vnoType = vnoType)], (388 ^ _261821) ^ [] : [vnoType = vnoType, true___, -(true___)], (406 ^ _261821) ^ [_275779, _275781] : [vsomeType(_275781) = vsomeType(_275779), -(_275781 = _275779)], (412 ^ _261821) ^ [_275949, _275951] : [_275951 = _275949, -(vsomeType(_275951) = vsomeType(_275949))], (418 ^ _261821) ^ [_276167, _276169, _276171] : [vempty = vbind(_276171, _276169, _276167)], (420 ^ _261821) ^ [_276252] : [vnoType = vsomeType(_276252)], (422 ^ _261821) ^ [_276347] : [_276347 = vnoType, visSomeType(_276347)], (428 ^ _261821) ^ [_276550, _276552] : [_276550 = vsomeType(_276552), -(visSomeType(_276550))], (434 ^ _261821) ^ [_276776, _276778, _276780] : [_276780 = vsomeType(_276776), _276778 = vgetSomeType(_276780), -(_276778 = _276776)], (444 ^ _261821) ^ [_277121, _277123, _277125, _277127] : [_277125 = _277127, _277123 = vempty, _277121 = vlookup(_277125, _277123), -(_277121 = vnoType)], (458 ^ _261821) ^ [_277615, _277617, _277619, _277621, _277623, _277625, _277627] : [_277621 = _277625, _277619 = vbind(_277623, _277615, _277627), _277625 = _277623, _277617 = vlookup(_277621, _277619), -(_277617 = vsomeType(_277615))], (476 ^ _261821) ^ [_278272, _278274, _278276, _278278, _278280, _278282, _278284] : [_278280 = _278274, _278278 = vbind(_278282, _278284, _278272), -(_278274 = _278282), _278276 = vlookup(_278280, _278278), -(_278276 = vlookup(_278274, _278272))], (494 ^ _261821) ^ [_278878, _278880, _278882] : [vlookup(_278882, _278880) = _278878, 500 ^ _261821 : [(501 ^ _261821) ^ [] : [-(_278882 = 499 ^ [_278878, _278880, _278882])], (503 ^ _261821) ^ [] : [-(_278880 = vempty)], (505 ^ _261821) ^ [] : [-(_278878 = vnoType)]], 512 ^ _261821 : [(513 ^ _261821) ^ [] : [-(_278882 = 509 ^ [_278878, _278880, _278882])], (515 ^ _261821) ^ [] : [-(_278880 = vbind(510 ^ [_278878, _278880, _278882], 511 ^ [_278878, _278880, _278882], 508 ^ [_278878, _278880, _278882]))], (517 ^ _261821) ^ [] : [-(509 ^ [_278878, _278880, _278882] = 510 ^ [_278878, _278880, _278882])], (519 ^ _261821) ^ [] : [-(_278878 = vsomeType(511 ^ [_278878, _278880, _278882]))]], 524 ^ _261821 : [(525 ^ _261821) ^ [] : [-(_278882 = 522 ^ [_278878, _278880, _278882])], (527 ^ _261821) ^ [] : [-(_278880 = vbind(521 ^ [_278878, _278880, _278882], 520 ^ [_278878, _278880, _278882], 523 ^ [_278878, _278880, _278882]))], (529 ^ _261821) ^ [] : [522 ^ [_278878, _278880, _278882] = 521 ^ [_278878, _278880, _278882]], (531 ^ _261821) ^ [] : [-(_278878 = vlookup(522 ^ [_278878, _278880, _278882], 523 ^ [_278878, _278880, _278882]))]]], (533 ^ _261821) ^ [_281073, _281075, _281077, _281079, _281081, _281083, _281085] : [-(vtcheck(vbind(_281081, _281079, _281077), _281075, _281073)), _281081 = _281085, vtcheck(vbind(_281081, _281079, vbind(_281085, _281083, _281077)), _281075, _281073)], (543 ^ _261821) ^ [_281520, _281522, _281524, _281526, _281528, _281530, _281532] : [-(vtcheck(vbind(_281532, _281530, vbind(_281528, _281526, _281524)), _281522, _281520)), -(_281528 = _281532), vtcheck(vbind(_281528, _281526, vbind(_281532, _281530, _281524)), _281522, _281520)], (553 ^ _261821) ^ [_281908, _281910] : [vgensym(_281908) = _281910, visFreeVar(_281910, _281908)], (559 ^ _261821) ^ [_282193, _282195, _282197, _282199, _282201, _282203, _282205] : [_282201 = _282205, _282199 = _282193, _282197 = vvar(_282203), _282205 = _282203, _282195 = vsubst(_282201, _282199, _282197), -(_282195 = _282193)], (581 ^ _261821) ^ [_282955, _282957, _282959, _282961, _282963, _282965, _282967] : [_282963 = _282965, _282961 = _282967, _282959 = vvar(_282955), -(_282965 = _282955), _282957 = vsubst(_282963, _282961, _282959), -(_282957 = vvar(_282955))], (603 ^ _261821) ^ [_283738, _283740, _283742, _283744, _283746, _283748, _283750, _283752] : [_283746 = vsubst(_283752, _283750, _283748), -(_283746 = vapp(vsubst(_283742, _283740, _283744), vsubst(_283742, _283740, _283738))), _283752 = _283742, _283750 = _283740, _283748 = vapp(_283744, _283738)], (621 ^ _261821) ^ [_284459, _284461, _284463, _284465, _284467, _284469, _284471, _284473, _284475] : [_284471 = _284473, _284469 = _284475, _284467 = vabs(_284463, _284461, _284459), _284473 = _284463, _284465 = vsubst(_284471, _284469, _284467), -(_284465 = vabs(_284463, _284461, _284459))], (643 ^ _261821) ^ [_285319, _285321, _285323, _285325, _285327, _285329, _285331, _285333, _285335, _285337] : [_285337 = _285329, _285335 = _285327, _285333 = vabs(_285323, _285325, _285319), _285331 = vsubst(_285337, _285335, _285333), -(_285331 = vsubst(_285329, _285327, vabs(_285321, _285325, vsubst(_285323, vvar(_285321), _285319)))), -(_285329 = _285323), visFreeVar(_285323, _285327), _285321 = vgensym(vapp(vapp(_285327, _285319), vvar(_285329)))], (673 ^ _261821) ^ [_286474, _286476, _286478, _286480, _286482, _286484, _286486, _286488, _286490] : [_286490 = _286478, _286488 = _286476, _286486 = vabs(_286482, _286480, _286474), -(_286478 = _286482), -(visFreeVar(_286482, _286476)), _286484 = vsubst(_286490, _286488, _286486), -(_286484 = vabs(_286482, _286480, vsubst(_286478, _286476, _286474)))], (699 ^ _261821) ^ [_287383, _287385, _287387, _287389] : [vsubst(_287389, _287387, _287385) = _287383, 707 ^ _261821 : [(708 ^ _261821) ^ [] : [-(_287389 = 704 ^ [_287383, _287385, _287387, _287389])], (710 ^ _261821) ^ [] : [-(_287387 = 706 ^ [_287383, _287385, _287387, _287389])], (712 ^ _261821) ^ [] : [-(_287385 = vvar(705 ^ [_287383, _287385, _287387, _287389]))], (714 ^ _261821) ^ [] : [-(704 ^ [_287383, _287385, _287387, _287389] = 705 ^ [_287383, _287385, _287387, _287389])], (716 ^ _261821) ^ [] : [-(_287383 = 706 ^ [_287383, _287385, _287387, _287389])]], 722 ^ _261821 : [(723 ^ _261821) ^ [] : [-(_287389 = 720 ^ [_287383, _287385, _287387, _287389])], (725 ^ _261821) ^ [] : [-(_287387 = 719 ^ [_287383, _287385, _287387, _287389])], (727 ^ _261821) ^ [] : [-(_287385 = vvar(721 ^ [_287383, _287385, _287387, _287389]))], (729 ^ _261821) ^ [] : [720 ^ [_287383, _287385, _287387, _287389] = 721 ^ [_287383, _287385, _287387, _287389]], (731 ^ _261821) ^ [] : [-(_287383 = vvar(721 ^ [_287383, _287385, _287387, _287389]))]], 738 ^ _261821 : [(739 ^ _261821) ^ [] : [-(_287389 = 735 ^ [_287383, _287385, _287387, _287389])], (741 ^ _261821) ^ [] : [-(_287387 = 736 ^ [_287383, _287385, _287387, _287389])], (743 ^ _261821) ^ [] : [-(_287385 = vapp(734 ^ [_287383, _287385, _287387, _287389], 737 ^ [_287383, _287385, _287387, _287389]))], (745 ^ _261821) ^ [] : [-(_287383 = vapp(vsubst(735 ^ [_287383, _287385, _287387, _287389], 736 ^ [_287383, _287385, _287387, _287389], 734 ^ [_287383, _287385, _287387, _287389]), vsubst(735 ^ [_287383, _287385, _287387, _287389], 736 ^ [_287383, _287385, _287387, _287389], 737 ^ [_287383, _287385, _287387, _287389])))]], 753 ^ _261821 : [(754 ^ _261821) ^ [] : [-(_287389 = 749 ^ [_287383, _287385, _287387, _287389])], (756 ^ _261821) ^ [] : [-(_287387 = 748 ^ [_287383, _287385, _287387, _287389])], (758 ^ _261821) ^ [] : [-(_287385 = vabs(750 ^ [_287383, _287385, _287387, _287389], 751 ^ [_287383, _287385, _287387, _287389], 752 ^ [_287383, _287385, _287387, _287389]))], (760 ^ _261821) ^ [] : [-(749 ^ [_287383, _287385, _287387, _287389] = 750 ^ [_287383, _287385, _287387, _287389])], (762 ^ _261821) ^ [] : [-(_287383 = vabs(750 ^ [_287383, _287385, _287387, _287389], 751 ^ [_287383, _287385, _287387, _287389], 752 ^ [_287383, _287385, _287387, _287389]))]], 771 ^ _261821 : [(772 ^ _261821) ^ [] : [-(_287389 = 765 ^ [_287383, _287385, _287387, _287389])], (774 ^ _261821) ^ [] : [-(_287387 = 766 ^ [_287383, _287385, _287387, _287389])], (776 ^ _261821) ^ [] : [-(_287385 = vabs(768 ^ [_287383, _287385, _287387, _287389], 767 ^ [_287383, _287385, _287387, _287389], 770 ^ [_287383, _287385, _287387, _287389]))], (778 ^ _261821) ^ [] : [765 ^ [_287383, _287385, _287387, _287389] = 768 ^ [_287383, _287385, _287387, _287389]], (780 ^ _261821) ^ [] : [-(visFreeVar(768 ^ [_287383, _287385, _287387, _287389], 766 ^ [_287383, _287385, _287387, _287389]))], (782 ^ _261821) ^ [] : [-(769 ^ [_287383, _287385, _287387, _287389] = vgensym(vapp(vapp(766 ^ [_287383, _287385, _287387, _287389], 770 ^ [_287383, _287385, _287387, _287389]), vvar(765 ^ [_287383, _287385, _287387, _287389]))))], (784 ^ _261821) ^ [] : [-(_287383 = vsubst(765 ^ [_287383, _287385, _287387, _287389], 766 ^ [_287383, _287385, _287387, _287389], vabs(769 ^ [_287383, _287385, _287387, _287389], 767 ^ [_287383, _287385, _287387, _287389], vsubst(768 ^ [_287383, _287385, _287387, _287389], vvar(769 ^ [_287383, _287385, _287387, _287389]), 770 ^ [_287383, _287385, _287387, _287389]))))]], 790 ^ _261821 : [(791 ^ _261821) ^ [] : [-(_287389 = 787 ^ [_287383, _287385, _287387, _287389])], (793 ^ _261821) ^ [] : [-(_287387 = 788 ^ [_287383, _287385, _287387, _287389])], (795 ^ _261821) ^ [] : [-(_287385 = vabs(785 ^ [_287383, _287385, _287387, _287389], 786 ^ [_287383, _287385, _287387, _287389], 789 ^ [_287383, _287385, _287387, _287389]))], (797 ^ _261821) ^ [] : [787 ^ [_287383, _287385, _287387, _287389] = 785 ^ [_287383, _287385, _287387, _287389]], (799 ^ _261821) ^ [] : [visFreeVar(785 ^ [_287383, _287385, _287387, _287389], 788 ^ [_287383, _287385, _287387, _287389])], (801 ^ _261821) ^ [] : [-(_287383 = vabs(785 ^ [_287383, _287385, _287387, _287389], 786 ^ [_287383, _287385, _287387, _287389], vsubst(787 ^ [_287383, _287385, _287387, _287389], 788 ^ [_287383, _287385, _287387, _287389], 789 ^ [_287383, _287385, _287387, _287389])))]]], (813 ^ _261821) ^ [] : [814 ^ _261821 : [(815 ^ _261821) ^ [] : [-(true___)], (817 ^ _261821) ^ [] : [true___]], -(vnoExp = vnoExp)], (803 ^ _261821) ^ [] : [vnoExp = vnoExp, true___, -(true___)], (821 ^ _261821) ^ [_295607, _295609] : [vsomeExp(_295609) = vsomeExp(_295607), -(_295609 = _295607)], (827 ^ _261821) ^ [_295777, _295779] : [_295779 = _295777, -(vsomeExp(_295779) = vsomeExp(_295777))], (833 ^ _261821) ^ [_295967] : [vnoExp = vsomeExp(_295967)], (835 ^ _261821) ^ [_296062] : [_296062 = vnoExp, visSomeExp(_296062)], (841 ^ _261821) ^ [_296265, _296267] : [_296265 = vsomeExp(_296267), -(visSomeExp(_296265))], (847 ^ _261821) ^ [_296491, _296493, _296495] : [_296495 = vsomeExp(_296491), _296493 = vgetSomeExp(_296495), -(_296493 = _296491)], (857 ^ _261821) ^ [_296822, _296824, _296826] : [_296824 = vvar(_296826), _296822 = vreduce(_296824), -(_296822 = vnoExp)], (867 ^ _261821) ^ [_297181, _297183, _297185, _297187, _297189] : [_297183 = vabs(_297189, _297187, _297185), _297181 = vreduce(_297183), -(_297181 = vnoExp)], (877 ^ _261821) ^ [_297592, _297594, _297596, _297598, _297600, _297602, _297604] : [_297602 = vapp(vabs(_297598, _297596, _297594), _297604), _297592 = vreduce(_297604), visSomeExp(_297592), _297600 = vreduce(_297602), -(_297600 = vsomeExp(vapp(vabs(_297598, _297596, _297594), vgetSomeExp(_297592))))], (895 ^ _261821) ^ [_298273, _298275, _298277, _298279, _298281, _298283, _298285] : [_298281 = vapp(vabs(_298277, _298285, _298273), _298275), _298279 = vreduce(_298281), -(_298279 = vsomeExp(vsubst(_298277, _298275, _298273))), _298283 = vreduce(_298275), -(visSomeExp(_298283)), visValue(_298275)], (917 ^ _261821) ^ [_299054, _299056, _299058, _299060, _299062, _299064, _299066] : [_299056 = vapp(vabs(_299066, _299064, _299062), _299058), _299054 = vreduce(_299056), -(_299054 = vnoExp), _299060 = vreduce(_299058), -(visSomeExp(_299060)), -(visValue(_299058))], (939 ^ _261821) ^ [_299798, _299800, _299802, _299804, _299806] : [_299804 = vapp(_299806, _299798), -(_299806 = vabs(944 ^ [_299798, _299800, _299802, _299804, _299806], 945 ^ [_299798, _299800, _299802, _299804, _299806], 946 ^ [_299798, _299800, _299802, _299804, _299806])), _299800 = vreduce(_299806), visSomeExp(_299800), _299802 = vreduce(_299804), -(_299802 = vsomeExp(vapp(vgetSomeExp(_299800), _299798)))], (964 ^ _261821) ^ [_300810, _300812, _300814, _300816, _300818] : [_300812 = vapp(_300816, _300818), -(_300816 = vabs(969 ^ [_300810, _300812, _300814, _300816, _300818], 970 ^ [_300810, _300812, _300814, _300816, _300818], 971 ^ [_300810, _300812, _300814, _300816, _300818])), _300814 = vreduce(_300816), -(visSomeExp(_300814)), _300810 = vreduce(_300812), -(_300810 = vnoExp)], (989 ^ _261821) ^ [_301769, _301771] : [vreduce(_301771) = _301769, 995 ^ _261821 : [(996 ^ _261821) ^ [] : [-(_301771 = vvar(994 ^ [_301769, _301771]))], (998 ^ _261821) ^ [] : [-(_301769 = vnoExp)]], 1004 ^ _261821 : [(1005 ^ _261821) ^ [] : [-(_301771 = vabs(1001 ^ [_301769, _301771], 1002 ^ [_301769, _301771], 1003 ^ [_301769, _301771]))], (1007 ^ _261821) ^ [] : [-(_301769 = vnoExp)]], 1015 ^ _261821 : [(1016 ^ _261821) ^ [] : [-(_301771 = vapp(vabs(1011 ^ [_301769, _301771], 1012 ^ [_301769, _301771], 1013 ^ [_301769, _301771]), 1010 ^ [_301769, _301771]))], (1018 ^ _261821) ^ [] : [-(1014 ^ [_301769, _301771] = vreduce(1010 ^ [_301769, _301771]))], (1020 ^ _261821) ^ [] : [-(visSomeExp(1014 ^ [_301769, _301771]))], (1022 ^ _261821) ^ [] : [-(_301769 = vsomeExp(vapp(vabs(1011 ^ [_301769, _301771], 1012 ^ [_301769, _301771], 1013 ^ [_301769, _301771]), vgetSomeExp(1014 ^ [_301769, _301771]))))]], 1030 ^ _261821 : [(1031 ^ _261821) ^ [] : [-(_301771 = vapp(vabs(1027 ^ [_301769, _301771], 1025 ^ [_301769, _301771], 1029 ^ [_301769, _301771]), 1028 ^ [_301769, _301771]))], (1033 ^ _261821) ^ [] : [-(1026 ^ [_301769, _301771] = vreduce(1028 ^ [_301769, _301771]))], (1035 ^ _261821) ^ [] : [visSomeExp(1026 ^ [_301769, _301771])], (1037 ^ _261821) ^ [] : [-(visValue(1028 ^ [_301769, _301771]))], (1039 ^ _261821) ^ [] : [-(_301769 = vsomeExp(vsubst(1027 ^ [_301769, _301771], 1028 ^ [_301769, _301771], 1029 ^ [_301769, _301771])))]], 1047 ^ _261821 : [(1048 ^ _261821) ^ [] : [-(_301771 = vapp(vabs(1042 ^ [_301769, _301771], 1043 ^ [_301769, _301771], 1044 ^ [_301769, _301771]), 1046 ^ [_301769, _301771]))], (1050 ^ _261821) ^ [] : [-(1045 ^ [_301769, _301771] = vreduce(1046 ^ [_301769, _301771]))], (1052 ^ _261821) ^ [] : [visSomeExp(1045 ^ [_301769, _301771])], (1054 ^ _261821) ^ [] : [visValue(1046 ^ [_301769, _301771])], (1056 ^ _261821) ^ [] : [-(_301769 = vnoExp)]], 1062 ^ _261821 : [(1063 ^ _261821) ^ [] : [-(_301771 = vapp(1059 ^ [_301769, _301771], 1061 ^ [_301769, _301771]))], (1065 ^ _261821) ^ [_306367, _306369, _306371] : [1059 ^ [_301769, _301771] = vabs(_306371, _306369, _306367)], (1067 ^ _261821) ^ [] : [-(1060 ^ [_301769, _301771] = vreduce(1059 ^ [_301769, _301771]))], (1069 ^ _261821) ^ [] : [-(visSomeExp(1060 ^ [_301769, _301771]))], (1071 ^ _261821) ^ [] : [-(_301769 = vsomeExp(vapp(vgetSomeExp(1060 ^ [_301769, _301771]), 1061 ^ [_301769, _301771])))]], 1075 ^ _261821 : [(1076 ^ _261821) ^ [] : [-(_301771 = vapp(1073 ^ [_301769, _301771], 1072 ^ [_301769, _301771]))], (1078 ^ _261821) ^ [_307141, _307143, _307145] : [1073 ^ [_301769, _301771] = vabs(_307145, _307143, _307141)], (1080 ^ _261821) ^ [] : [-(1074 ^ [_301769, _301771] = vreduce(1073 ^ [_301769, _301771]))], (1082 ^ _261821) ^ [] : [visSomeExp(1074 ^ [_301769, _301771])], (1084 ^ _261821) ^ [] : [-(_301769 = vnoExp)]]], (1086 ^ _261821) ^ [_307557, _307559, _307561, _307563] : [varrow(_307563, _307561) = varrow(_307559, _307557), 1089 ^ _261821 : [(1090 ^ _261821) ^ [] : [-(_307563 = _307559)], (1092 ^ _261821) ^ [] : [-(_307561 = _307557)]]], (1094 ^ _261821) ^ [_307822, _307824, _307826, _307828] : [-(varrow(_307828, _307826) = varrow(_307824, _307822)), _307828 = _307824, _307826 = _307822], (1104 ^ _261821) ^ [_308169, _308171, _308173] : [vlookup(_308171, _308173) = vsomeType(_308169), -(vtcheck(_308173, vvar(_308171), _308169))], (1110 ^ _261821) ^ [_308443, _308445, _308447, _308449, _308451] : [vtcheck(vbind(_308449, _308445, _308451), _308447, _308443), -(vtcheck(_308451, vabs(_308449, _308445, _308447), varrow(_308445, _308443)))], (1116 ^ _261821) ^ [_308739, _308741, _308743, _308745, _308747] : [-(vtcheck(_308745, vapp(_308743, _308741), _308739)), vtcheck(_308745, _308743, varrow(_308747, _308739)), vtcheck(_308745, _308741, _308747)], (1126 ^ _261821) ^ [_309080, _309082, _309084] : [vtcheck(_309080, _309084, _309082), 1132 ^ _261821 : [(1133 ^ _261821) ^ [] : [-(_309084 = vvar(1131 ^ [_309080, _309082, _309084]))], (1135 ^ _261821) ^ [] : [-(vlookup(1131 ^ [_309080, _309082, _309084], _309080) = vsomeType(_309082))]], 1142 ^ _261821 : [(1143 ^ _261821) ^ [] : [-(_309084 = vabs(1138 ^ [_309080, _309082, _309084], 1140 ^ [_309080, _309082, _309084], 1139 ^ [_309080, _309082, _309084]))], (1145 ^ _261821) ^ [] : [-(_309082 = varrow(1140 ^ [_309080, _309082, _309084], 1141 ^ [_309080, _309082, _309084]))], (1147 ^ _261821) ^ [] : [-(vtcheck(vbind(1138 ^ [_309080, _309082, _309084], 1140 ^ [_309080, _309082, _309084], _309080), 1139 ^ [_309080, _309082, _309084], 1141 ^ [_309080, _309082, _309084]))]], 1151 ^ _261821 : [(1152 ^ _261821) ^ [] : [-(_309084 = vapp(1148 ^ [_309080, _309082, _309084], 1149 ^ [_309080, _309082, _309084]))], (1154 ^ _261821) ^ [] : [-(vtcheck(_309080, 1148 ^ [_309080, _309082, _309084], varrow(1150 ^ [_309080, _309082, _309084], _309082)))], (1156 ^ _261821) ^ [] : [-(vtcheck(_309080, 1149 ^ [_309080, _309082, _309084], 1150 ^ [_309080, _309082, _309084]))]]]], input).
% 0.42/1.40 ncf('1',plain,[visFreeVar(1215 ^ [], vabs(1218 ^ [], 1219 ^ [], veabs))],start(1222 ^ 0)).
% 0.42/1.40 ncf('1.1',plain,[-(visFreeVar(1215 ^ [], vabs(1218 ^ [], 1219 ^ [], veabs))), -(vtcheck(vbind(1215 ^ [], 1216 ^ [], 1217 ^ []), vabs(1218 ^ [], 1219 ^ [], veabs), 1220 ^ [])), -(1215 ^ [] = 1218 ^ []), vtcheck(1217 ^ [], vabs(1218 ^ [], 1219 ^ [], veabs), 1220 ^ [])],extension(1188 ^ 1,bind([[_312411, _312413, _312415, _312417, _312419, _312421], [1220 ^ [], 1219 ^ [], 1218 ^ [], 1217 ^ [], 1216 ^ [], 1215 ^ []]]))).
% 0.42/1.40 ncf('1.1.1',plain,[vtcheck(vbind(1215 ^ [], 1216 ^ [], 1217 ^ []), vabs(1218 ^ [], 1219 ^ [], veabs), 1220 ^ [])],extension(1226 ^ 2)).
% 0.42/1.40 ncf('1.1.2',plain,[1215 ^ [] = 1218 ^ [], -(vtcheck(vbind(1215 ^ [], 1216 ^ [], 1217 ^ []), vabs(1218 ^ [], 1219 ^ [], veabs), 1220 ^ [])), -(visFreeVar(1215 ^ [], vabs(1218 ^ [], 1219 ^ [], veabs))), vtcheck(1217 ^ [], vabs(1218 ^ [], 1219 ^ [], veabs), 1220 ^ [])],extension(1202 ^ 2,bind([[_312933, _312935, _312937, _312939, _312941, _312943], [1220 ^ [], 1219 ^ [], 1218 ^ [], 1217 ^ [], 1216 ^ [], 1215 ^ []]]))).
% 0.42/1.40 ncf('1.1.2.1',plain,[vtcheck(vbind(1215 ^ [], 1216 ^ [], 1217 ^ []), vabs(1218 ^ [], 1219 ^ [], veabs), 1220 ^ [])],extension(1226 ^ 3)).
% 0.42/1.40 ncf('1.1.2.2',plain,[visFreeVar(1215 ^ [], vabs(1218 ^ [], 1219 ^ [], veabs))],reduction('1')).
% 0.42/1.40 ncf('1.1.2.3',plain,[-(vtcheck(1217 ^ [], vabs(1218 ^ [], 1219 ^ [], veabs), 1220 ^ []))],extension(1224 ^ 3)).
% 0.42/1.40 ncf('1.1.3',plain,[-(vtcheck(1217 ^ [], vabs(1218 ^ [], 1219 ^ [], veabs), 1220 ^ []))],extension(1224 ^ 2)).
% 0.42/1.40 %-----------------------------------------------------
% 0.42/1.40 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------