%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWC289+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n022.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 12:13:07 EDT 2023

% Result   : Theorem 8.47s 8.65s
% Output   : Proof 8.47s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWC289+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n022.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri May 19 00:51:17 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 8.47/8.65  
% 8.47/8.65  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 8.47/8.65  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.47/8.65  %-----------------------------------------------------
% 8.47/8.65  ncf(matrix, plain, [(1978 ^ _229996) ^ [] : [-(ssList(1976 ^ []))], (1981 ^ _229996) ^ [] : [-(ssList(1979 ^ []))], (1984 ^ _229996) ^ [] : [-(ssList(1982 ^ []))], (1987 ^ _229996) ^ [] : [-(ssList(1985 ^ []))], (1989 ^ _229996) ^ [] : [-(1979 ^ [] = 1985 ^ [])], (1991 ^ _229996) ^ [] : [-(1976 ^ [] = 1982 ^ [])], (1993 ^ _229996) ^ [] : [-(strictorderedP(1982 ^ []))], (1995 ^ _229996) ^ [] : [strictorderedP(1976 ^ [])], (246 ^ _229996) ^ [_237800, _237802, _237804, _237806] : [-(cons(_237806, _237802) = cons(_237804, _237800)), _237806 = _237804, _237802 = _237800], (256 ^ _229996) ^ [_238131, _238133] : [_238133 = _238131, -(hd(_238133) = hd(_238131))], (272 ^ _229996) ^ [_238688, _238690] : [_238690 = _238688, -(tl(_238690) = tl(_238688))], (262 ^ _229996) ^ [_238377, _238379, _238381, _238383] : [-(app(_238383, _238379) = app(_238381, _238377)), _238383 = _238381, _238379 = _238377], (2 ^ _229996) ^ [_230140] : [-(_230140 = _230140)], (4 ^ _229996) ^ [_230247, _230249] : [_230249 = _230247, -(_230247 = _230249)], (10 ^ _229996) ^ [_230451, _230453, _230455] : [-(_230455 = _230451), _230455 = _230453, _230453 = _230451], (20 ^ _229996) ^ [_230792, _230794, _230796, _230798] : [-(neq(_230796, _230792)), neq(_230798, _230794), _230798 = _230796, _230794 = _230792], (34 ^ _229996) ^ [_231236, _231238, _231240, _231242] : [-(memberP(_231240, _231236)), memberP(_231242, _231238), _231242 = _231240, _231238 = _231236], (48 ^ _229996) ^ [_231652, _231654] : [-(singletonP(_231652)), _231654 = _231652, singletonP(_231654)], (58 ^ _229996) ^ [_231975, _231977, _231979, _231981] : [-(frontsegP(_231979, _231975)), frontsegP(_231981, _231977), _231981 = _231979, _231977 = _231975], (72 ^ _229996) ^ [_232419, _232421, _232423, _232425] : [-(rearsegP(_232423, _232419)), rearsegP(_232425, _232421), _232425 = _232423, _232421 = _232419], (86 ^ _229996) ^ [_232863, _232865, _232867, _232869] : [-(segmentP(_232867, _232863)), segmentP(_232869, _232865), _232869 = _232867, _232865 = _232863], (100 ^ _229996) ^ [_233279, _233281] : [-(cyclefreeP(_233279)), _233281 = _233279, cyclefreeP(_233281)], (110 ^ _229996) ^ [_233574, _233576] : [-(totalorderP(_233574)), _233576 = _233574, totalorderP(_233576)], (120 ^ _229996) ^ [_233869, _233871] : [-(strictorderP(_233869)), _233871 = _233869, strictorderP(_233871)], (130 ^ _229996) ^ [_234164, _234166] : [-(totalorderedP(_234164)), _234166 = _234164, totalorderedP(_234166)], (140 ^ _229996) ^ [_234459, _234461] : [-(duplicatefreeP(_234459)), _234461 = _234459, duplicatefreeP(_234461)], (150 ^ _229996) ^ [_234754, _234756] : [-(equalelemsP(_234754)), _234756 = _234754, equalelemsP(_234756)], (160 ^ _229996) ^ [_235077, _235079, _235081, _235083] : [-(geq(_235081, _235077)), geq(_235083, _235079), _235083 = _235081, _235079 = _235077], (174 ^ _229996) ^ [_235521, _235523, _235525, _235527] : [-(lt(_235525, _235521)), lt(_235527, _235523), _235527 = _235525, _235523 = _235521], (188 ^ _229996) ^ [_235965, _235967, _235969, _235971] : [-(leq(_235969, _235965)), leq(_235971, _235967), _235971 = _235969, _235967 = _235965], (202 ^ _229996) ^ [_236381, _236383] : [-(ssItem(_236381)), _236383 = _236381, ssItem(_236383)], (212 ^ _229996) ^ [_236704, _236706, _236708, _236710] : [-(gt(_236708, _236704)), gt(_236710, _236706), _236710 = _236708, _236706 = _236704], (226 ^ _229996) ^ [_237120, _237122] : [-(ssList(_237120)), _237122 = _237120, ssList(_237122)], (236 ^ _229996) ^ [_237395, _237397] : [-(strictorderedP(_237395)), _237397 = _237395, strictorderedP(_237397)], (278 ^ _229996) ^ [_238910] : [ssItem(_238910), 281 ^ _229996 : [(282 ^ _229996) ^ [_239048] : [ssItem(_239048), 285 ^ _229996 : [(286 ^ _229996) ^ [] : [neq(_238910, _239048), _238910 = _239048], (292 ^ _229996) ^ [] : [-(_238910 = _239048), -(neq(_238910, _239048))]]]]], (299 ^ _229996) ^ [] : [-(ssItem(297 ^ []))], (302 ^ _229996) ^ [] : [-(ssItem(300 ^ []))], (304 ^ _229996) ^ [] : [297 ^ [] = 300 ^ []], (306 ^ _229996) ^ [_239761] : [ssList(_239761), 309 ^ _229996 : [(310 ^ _229996) ^ [_239923] : [ssItem(_239923), 313 ^ _229996 : [(314 ^ _229996) ^ [] : [memberP(_239761, _239923), 318 ^ _229996 : [(319 ^ _229996) ^ [] : [-(ssList(317 ^ [_239761, _239923]))], (322 ^ _229996) ^ [] : [-(ssList(320 ^ [_239761, _239923]))], (324 ^ _229996) ^ [] : [-(app(317 ^ [_239761, _239923], cons(_239923, 320 ^ [_239761, _239923])) = _239761)]]], (326 ^ _229996) ^ [] : [-(memberP(_239761, _239923)), 327 ^ _229996 : [(328 ^ _229996) ^ [_240571] : [ssList(_240571), 331 ^ _229996 : [(332 ^ _229996) ^ [_240719] : [ssList(_240719), app(_240571, cons(_239923, _240719)) = _239761]]]]]]]]], (340 ^ _229996) ^ [_241010] : [ssList(_241010), 343 ^ _229996 : [(344 ^ _229996) ^ [] : [singletonP(_241010), 348 ^ _229996 : [(349 ^ _229996) ^ [] : [-(ssItem(347 ^ [_241010]))], (351 ^ _229996) ^ [] : [-(cons(347 ^ [_241010], nil) = _241010)]]], (353 ^ _229996) ^ [] : [-(singletonP(_241010)), 354 ^ _229996 : [(355 ^ _229996) ^ [_241459] : [ssItem(_241459), cons(_241459, nil) = _241010]]]]], (363 ^ _229996) ^ [_241715] : [ssList(_241715), 366 ^ _229996 : [(367 ^ _229996) ^ [_241864] : [ssList(_241864), 370 ^ _229996 : [(371 ^ _229996) ^ [] : [frontsegP(_241715, _241864), 375 ^ _229996 : [(376 ^ _229996) ^ [] : [-(ssList(374 ^ [_241715, _241864]))], (378 ^ _229996) ^ [] : [-(app(_241864, 374 ^ [_241715, _241864]) = _241715)]]], (380 ^ _229996) ^ [] : [-(frontsegP(_241715, _241864)), 381 ^ _229996 : [(382 ^ _229996) ^ [_242339] : [ssList(_242339), app(_241864, _242339) = _241715]]]]]]], (390 ^ _229996) ^ [_242611] : [ssList(_242611), 393 ^ _229996 : [(394 ^ _229996) ^ [_242760] : [ssList(_242760), 397 ^ _229996 : [(398 ^ _229996) ^ [] : [rearsegP(_242611, _242760), 402 ^ _229996 : [(403 ^ _229996) ^ [] : [-(ssList(401 ^ [_242611, _242760]))], (405 ^ _229996) ^ [] : [-(app(401 ^ [_242611, _242760], _242760) = _242611)]]], (407 ^ _229996) ^ [] : [-(rearsegP(_242611, _242760)), 408 ^ _229996 : [(409 ^ _229996) ^ [_243235] : [ssList(_243235), app(_243235, _242760) = _242611]]]]]]], (417 ^ _229996) ^ [_243507] : [ssList(_243507), 420 ^ _229996 : [(421 ^ _229996) ^ [_243669] : [ssList(_243669), 424 ^ _229996 : [(425 ^ _229996) ^ [] : [segmentP(_243507, _243669), 429 ^ _229996 : [(430 ^ _229996) ^ [] : [-(ssList(428 ^ [_243507, _243669]))], (433 ^ _229996) ^ [] : [-(ssList(431 ^ [_243507, _243669]))], (435 ^ _229996) ^ [] : [-(app(app(428 ^ [_243507, _243669], _243669), 431 ^ [_243507, _243669]) = _243507)]]], (437 ^ _229996) ^ [] : [-(segmentP(_243507, _243669)), 438 ^ _229996 : [(439 ^ _229996) ^ [_244317] : [ssList(_244317), 442 ^ _229996 : [(443 ^ _229996) ^ [_244465] : [ssList(_244465), app(app(_244317, _243669), _244465) = _243507]]]]]]]]], (451 ^ _229996) ^ [_244756] : [ssList(_244756), 454 ^ _229996 : [(489 ^ _229996) ^ [] : [491 ^ _229996 : [(492 ^ _229996) ^ [] : [-(ssItem(490 ^ [_244756]))], (495 ^ _229996) ^ [] : [-(ssItem(493 ^ [_244756]))], (498 ^ _229996) ^ [] : [-(ssList(496 ^ [_244756]))], (501 ^ _229996) ^ [] : [-(ssList(499 ^ [_244756]))], (504 ^ _229996) ^ [] : [-(ssList(502 ^ [_244756]))], (506 ^ _229996) ^ [] : [-(app(app(496 ^ [_244756], cons(490 ^ [_244756], 499 ^ [_244756])), cons(493 ^ [_244756], 502 ^ [_244756])) = _244756)], (508 ^ _229996) ^ [] : [-(leq(490 ^ [_244756], 493 ^ [_244756]))], (510 ^ _229996) ^ [] : [-(leq(493 ^ [_244756], 490 ^ [_244756]))]], -(cyclefreeP(_244756))], (455 ^ _229996) ^ [] : [cyclefreeP(_244756), 458 ^ _229996 : [(459 ^ _229996) ^ [_245060] : [ssItem(_245060), 462 ^ _229996 : [(463 ^ _229996) ^ [_245252] : [ssItem(_245252), 466 ^ _229996 : [(467 ^ _229996) ^ [_245440] : [ssList(_245440), 470 ^ _229996 : [(471 ^ _229996) ^ [_245624] : [ssList(_245624), 474 ^ _229996 : [(475 ^ _229996) ^ [_245804] : [ssList(_245804), app(app(_245440, cons(_245060, _245624)), cons(_245252, _245804)) = _244756, leq(_245060, _245252), leq(_245252, _245060)]]]]]]]]]]]]], (514 ^ _229996) ^ [_247542] : [ssList(_247542), 517 ^ _229996 : [(552 ^ _229996) ^ [] : [554 ^ _229996 : [(555 ^ _229996) ^ [] : [-(ssItem(553 ^ [_247542]))], (558 ^ _229996) ^ [] : [-(ssItem(556 ^ [_247542]))], (561 ^ _229996) ^ [] : [-(ssList(559 ^ [_247542]))], (564 ^ _229996) ^ [] : [-(ssList(562 ^ [_247542]))], (567 ^ _229996) ^ [] : [-(ssList(565 ^ [_247542]))], (569 ^ _229996) ^ [] : [-(app(app(559 ^ [_247542], cons(553 ^ [_247542], 562 ^ [_247542])), cons(556 ^ [_247542], 565 ^ [_247542])) = _247542)], (571 ^ _229996) ^ [] : [leq(553 ^ [_247542], 556 ^ [_247542])], (573 ^ _229996) ^ [] : [leq(556 ^ [_247542], 553 ^ [_247542])]], -(totalorderP(_247542))], (518 ^ _229996) ^ [] : [totalorderP(_247542), 521 ^ _229996 : [(522 ^ _229996) ^ [_247844] : [ssItem(_247844), 525 ^ _229996 : [(526 ^ _229996) ^ [_248034] : [ssItem(_248034), 529 ^ _229996 : [(530 ^ _229996) ^ [_248220] : [ssList(_248220), 533 ^ _229996 : [(534 ^ _229996) ^ [_248402] : [ssList(_248402), 537 ^ _229996 : [(538 ^ _229996) ^ [_248580] : [ssList(_248580), app(app(_248220, cons(_247844, _248402)), cons(_248034, _248580)) = _247542, -(leq(_247844, _248034)), -(leq(_248034, _247844))]]]]]]]]]]]]], (577 ^ _229996) ^ [_250306] : [ssList(_250306), 580 ^ _229996 : [(615 ^ _229996) ^ [] : [617 ^ _229996 : [(618 ^ _229996) ^ [] : [-(ssItem(616 ^ [_250306]))], (621 ^ _229996) ^ [] : [-(ssItem(619 ^ [_250306]))], (624 ^ _229996) ^ [] : [-(ssList(622 ^ [_250306]))], (627 ^ _229996) ^ [] : [-(ssList(625 ^ [_250306]))], (630 ^ _229996) ^ [] : [-(ssList(628 ^ [_250306]))], (632 ^ _229996) ^ [] : [-(app(app(622 ^ [_250306], cons(616 ^ [_250306], 625 ^ [_250306])), cons(619 ^ [_250306], 628 ^ [_250306])) = _250306)], (634 ^ _229996) ^ [] : [lt(616 ^ [_250306], 619 ^ [_250306])], (636 ^ _229996) ^ [] : [lt(619 ^ [_250306], 616 ^ [_250306])]], -(strictorderP(_250306))], (581 ^ _229996) ^ [] : [strictorderP(_250306), 584 ^ _229996 : [(585 ^ _229996) ^ [_250608] : [ssItem(_250608), 588 ^ _229996 : [(589 ^ _229996) ^ [_250798] : [ssItem(_250798), 592 ^ _229996 : [(593 ^ _229996) ^ [_250984] : [ssList(_250984), 596 ^ _229996 : [(597 ^ _229996) ^ [_251166] : [ssList(_251166), 600 ^ _229996 : [(601 ^ _229996) ^ [_251344] : [ssList(_251344), app(app(_250984, cons(_250608, _251166)), cons(_250798, _251344)) = _250306, -(lt(_250608, _250798)), -(lt(_250798, _250608))]]]]]]]]]]]]], (640 ^ _229996) ^ [_253070] : [ssList(_253070), 643 ^ _229996 : [(674 ^ _229996) ^ [] : [676 ^ _229996 : [(677 ^ _229996) ^ [] : [-(ssItem(675 ^ [_253070]))], (680 ^ _229996) ^ [] : [-(ssItem(678 ^ [_253070]))], (683 ^ _229996) ^ [] : [-(ssList(681 ^ [_253070]))], (686 ^ _229996) ^ [] : [-(ssList(684 ^ [_253070]))], (689 ^ _229996) ^ [] : [-(ssList(687 ^ [_253070]))], (691 ^ _229996) ^ [] : [-(app(app(681 ^ [_253070], cons(675 ^ [_253070], 684 ^ [_253070])), cons(678 ^ [_253070], 687 ^ [_253070])) = _253070)], (693 ^ _229996) ^ [] : [leq(675 ^ [_253070], 678 ^ [_253070])]], -(totalorderedP(_253070))], (644 ^ _229996) ^ [] : [totalorderedP(_253070), 647 ^ _229996 : [(648 ^ _229996) ^ [_253366] : [ssItem(_253366), 651 ^ _229996 : [(652 ^ _229996) ^ [_253550] : [ssItem(_253550), 655 ^ _229996 : [(656 ^ _229996) ^ [_253730] : [ssList(_253730), 659 ^ _229996 : [(660 ^ _229996) ^ [_253906] : [ssList(_253906), 663 ^ _229996 : [(664 ^ _229996) ^ [_254078] : [ssList(_254078), app(app(_253730, cons(_253366, _253906)), cons(_253550, _254078)) = _253070, -(leq(_253366, _253550))]]]]]]]]]]]]], (697 ^ _229996) ^ [_255558] : [ssList(_255558), 700 ^ _229996 : [(731 ^ _229996) ^ [] : [733 ^ _229996 : [(734 ^ _229996) ^ [] : [-(ssItem(732 ^ [_255558]))], (737 ^ _229996) ^ [] : [-(ssItem(735 ^ [_255558]))], (740 ^ _229996) ^ [] : [-(ssList(738 ^ [_255558]))], (743 ^ _229996) ^ [] : [-(ssList(741 ^ [_255558]))], (746 ^ _229996) ^ [] : [-(ssList(744 ^ [_255558]))], (748 ^ _229996) ^ [] : [-(app(app(738 ^ [_255558], cons(732 ^ [_255558], 741 ^ [_255558])), cons(735 ^ [_255558], 744 ^ [_255558])) = _255558)], (750 ^ _229996) ^ [] : [lt(732 ^ [_255558], 735 ^ [_255558])]], -(strictorderedP(_255558))], (701 ^ _229996) ^ [] : [strictorderedP(_255558), 704 ^ _229996 : [(705 ^ _229996) ^ [_255854] : [ssItem(_255854), 708 ^ _229996 : [(709 ^ _229996) ^ [_256038] : [ssItem(_256038), 712 ^ _229996 : [(713 ^ _229996) ^ [_256218] : [ssList(_256218), 716 ^ _229996 : [(717 ^ _229996) ^ [_256394] : [ssList(_256394), 720 ^ _229996 : [(721 ^ _229996) ^ [_256566] : [ssList(_256566), app(app(_256218, cons(_255854, _256394)), cons(_256038, _256566)) = _255558, -(lt(_255854, _256038))]]]]]]]]]]]]], (754 ^ _229996) ^ [_258046] : [ssList(_258046), 757 ^ _229996 : [(788 ^ _229996) ^ [] : [790 ^ _229996 : [(791 ^ _229996) ^ [] : [-(ssItem(789 ^ [_258046]))], (794 ^ _229996) ^ [] : [-(ssItem(792 ^ [_258046]))], (797 ^ _229996) ^ [] : [-(ssList(795 ^ [_258046]))], (800 ^ _229996) ^ [] : [-(ssList(798 ^ [_258046]))], (803 ^ _229996) ^ [] : [-(ssList(801 ^ [_258046]))], (805 ^ _229996) ^ [] : [-(app(app(795 ^ [_258046], cons(789 ^ [_258046], 798 ^ [_258046])), cons(792 ^ [_258046], 801 ^ [_258046])) = _258046)], (807 ^ _229996) ^ [] : [-(789 ^ [_258046] = 792 ^ [_258046])]], -(duplicatefreeP(_258046))], (758 ^ _229996) ^ [] : [duplicatefreeP(_258046), 761 ^ _229996 : [(762 ^ _229996) ^ [_258344] : [ssItem(_258344), 765 ^ _229996 : [(766 ^ _229996) ^ [_258530] : [ssItem(_258530), 769 ^ _229996 : [(770 ^ _229996) ^ [_258712] : [ssList(_258712), 773 ^ _229996 : [(774 ^ _229996) ^ [_258890] : [ssList(_258890), 777 ^ _229996 : [(778 ^ _229996) ^ [_259064] : [ssList(_259064), app(app(_258712, cons(_258344, _258890)), cons(_258530, _259064)) = _258046, _258344 = _258530]]]]]]]]]]]]], (811 ^ _229996) ^ [_260556] : [ssList(_260556), 814 ^ _229996 : [(841 ^ _229996) ^ [] : [843 ^ _229996 : [(844 ^ _229996) ^ [] : [-(ssItem(842 ^ [_260556]))], (847 ^ _229996) ^ [] : [-(ssItem(845 ^ [_260556]))], (850 ^ _229996) ^ [] : [-(ssList(848 ^ [_260556]))], (853 ^ _229996) ^ [] : [-(ssList(851 ^ [_260556]))], (855 ^ _229996) ^ [] : [-(app(848 ^ [_260556], cons(842 ^ [_260556], cons(845 ^ [_260556], 851 ^ [_260556]))) = _260556)], (857 ^ _229996) ^ [] : [842 ^ [_260556] = 845 ^ [_260556]]], -(equalelemsP(_260556))], (815 ^ _229996) ^ [] : [equalelemsP(_260556), 818 ^ _229996 : [(819 ^ _229996) ^ [_260839] : [ssItem(_260839), 822 ^ _229996 : [(823 ^ _229996) ^ [_261010] : [ssItem(_261010), 826 ^ _229996 : [(827 ^ _229996) ^ [_261177] : [ssList(_261177), 830 ^ _229996 : [(831 ^ _229996) ^ [_261340] : [ssList(_261340), app(_261177, cons(_260839, cons(_261010, _261340))) = _260556, -(_260839 = _261010)]]]]]]]]]]], (861 ^ _229996) ^ [_262573] : [ssList(_262573), 864 ^ _229996 : [(865 ^ _229996) ^ [_262711] : [ssList(_262711), 868 ^ _229996 : [(869 ^ _229996) ^ [] : [neq(_262573, _262711), _262573 = _262711], (875 ^ _229996) ^ [] : [-(_262573 = _262711), -(neq(_262573, _262711))]]]]], (881 ^ _229996) ^ [_263164] : [ssList(_263164), 884 ^ _229996 : [(885 ^ _229996) ^ [_263296] : [ssItem(_263296), -(ssList(cons(_263296, _263164)))]]], (891 ^ _229996) ^ [] : [-(ssList(nil))], (893 ^ _229996) ^ [_263554] : [ssList(_263554), 896 ^ _229996 : [(897 ^ _229996) ^ [_263689] : [ssItem(_263689), cons(_263689, _263554) = _263554]]], (903 ^ _229996) ^ [_263897] : [ssList(_263897), 906 ^ _229996 : [(907 ^ _229996) ^ [_264065] : [ssList(_264065), 910 ^ _229996 : [(911 ^ _229996) ^ [_264229] : [ssItem(_264229), 914 ^ _229996 : [(915 ^ _229996) ^ [_264389] : [ssItem(_264389), cons(_264229, _263897) = cons(_264389, _264065), 922 ^ _229996 : [(923 ^ _229996) ^ [] : [-(_264229 = _264389)], (925 ^ _229996) ^ [] : [-(_264065 = _263897)]]]]]]]]], (927 ^ _229996) ^ [_264804] : [ssList(_264804), -(nil = _264804), 935 ^ _229996 : [(936 ^ _229996) ^ [] : [-(ssList(934 ^ [_264804]))], (939 ^ _229996) ^ [] : [-(ssItem(937 ^ [_264804]))], (941 ^ _229996) ^ [] : [-(cons(937 ^ [_264804], 934 ^ [_264804]) = _264804)]]], (943 ^ _229996) ^ [_265368] : [ssList(_265368), 946 ^ _229996 : [(947 ^ _229996) ^ [_265503] : [ssItem(_265503), nil = cons(_265503, _265368)]]], (953 ^ _229996) ^ [_265711] : [ssList(_265711), -(nil = _265711), -(ssItem(hd(_265711)))], (963 ^ _229996) ^ [_265989] : [ssList(_265989), 966 ^ _229996 : [(967 ^ _229996) ^ [_266124] : [ssItem(_266124), -(hd(cons(_266124, _265989)) = _266124)]]], (973 ^ _229996) ^ [_266335] : [ssList(_266335), -(nil = _266335), -(ssList(tl(_266335)))], (983 ^ _229996) ^ [_266613] : [ssList(_266613), 986 ^ _229996 : [(987 ^ _229996) ^ [_266748] : [ssItem(_266748), -(tl(cons(_266748, _266613)) = _266613)]]], (993 ^ _229996) ^ [_266959] : [ssList(_266959), 996 ^ _229996 : [(997 ^ _229996) ^ [_267091] : [ssList(_267091), -(ssList(app(_266959, _267091)))]]], (1003 ^ _229996) ^ [_267296] : [ssList(_267296), 1006 ^ _229996 : [(1007 ^ _229996) ^ [_267448] : [ssList(_267448), 1010 ^ _229996 : [(1011 ^ _229996) ^ [_267596] : [ssItem(_267596), -(cons(_267596, app(_267448, _267296)) = app(cons(_267596, _267448), _267296))]]]]], (1017 ^ _229996) ^ [_267834] : [ssList(_267834), -(app(nil, _267834) = _267834)], (1023 ^ _229996) ^ [_268028] : [ssItem(_268028), 1026 ^ _229996 : [(1027 ^ _229996) ^ [_268170] : [ssItem(_268170), -(_268028 = _268170), leq(_268028, _268170), leq(_268170, _268028)]]], (1041 ^ _229996) ^ [_268549] : [ssItem(_268549), 1044 ^ _229996 : [(1045 ^ _229996) ^ [_268701] : [ssItem(_268701), 1048 ^ _229996 : [(1049 ^ _229996) ^ [_268849] : [ssItem(_268849), -(leq(_268549, _268849)), leq(_268549, _268701), leq(_268701, _268849)]]]]], (1063 ^ _229996) ^ [_269249] : [ssItem(_269249), -(leq(_269249, _269249))], (1069 ^ _229996) ^ [_269437] : [ssItem(_269437), 1072 ^ _229996 : [(1073 ^ _229996) ^ [_269573] : [ssItem(_269573), 1076 ^ _229996 : [(1077 ^ _229996) ^ [] : [geq(_269437, _269573), -(leq(_269573, _269437))], (1083 ^ _229996) ^ [] : [leq(_269573, _269437), -(geq(_269437, _269573))]]]]], (1089 ^ _229996) ^ [_270024] : [ssItem(_270024), 1092 ^ _229996 : [(1093 ^ _229996) ^ [_270162] : [ssItem(_270162), lt(_270024, _270162), lt(_270162, _270024)]]], (1103 ^ _229996) ^ [_270453] : [ssItem(_270453), 1106 ^ _229996 : [(1107 ^ _229996) ^ [_270605] : [ssItem(_270605), 1110 ^ _229996 : [(1111 ^ _229996) ^ [_270753] : [ssItem(_270753), -(lt(_270453, _270753)), lt(_270453, _270605), lt(_270605, _270753)]]]]], (1125 ^ _229996) ^ [_271153] : [ssItem(_271153), 1128 ^ _229996 : [(1129 ^ _229996) ^ [_271289] : [ssItem(_271289), 1132 ^ _229996 : [(1133 ^ _229996) ^ [] : [gt(_271153, _271289), -(lt(_271289, _271153))], (1139 ^ _229996) ^ [] : [lt(_271289, _271153), -(gt(_271153, _271289))]]]]], (1145 ^ _229996) ^ [_271740] : [ssItem(_271740), 1148 ^ _229996 : [(1149 ^ _229996) ^ [_271895] : [ssList(_271895), 1152 ^ _229996 : [(1153 ^ _229996) ^ [_272046] : [ssList(_272046), 1156 ^ _229996 : [(1167 ^ _229996) ^ [] : [1168 ^ _229996 : [(1169 ^ _229996) ^ [] : [memberP(_271895, _271740)], (1171 ^ _229996) ^ [] : [memberP(_272046, _271740)]], -(memberP(app(_271895, _272046), _271740))], (1157 ^ _229996) ^ [] : [memberP(app(_271895, _272046), _271740), -(memberP(_271895, _271740)), -(memberP(_272046, _271740))]]]]]]], (1175 ^ _229996) ^ [_272693] : [ssItem(_272693), 1178 ^ _229996 : [(1179 ^ _229996) ^ [_272848] : [ssItem(_272848), 1182 ^ _229996 : [(1183 ^ _229996) ^ [_272999] : [ssList(_272999), 1186 ^ _229996 : [(1197 ^ _229996) ^ [] : [1198 ^ _229996 : [(1199 ^ _229996) ^ [] : [_272693 = _272848], (1201 ^ _229996) ^ [] : [memberP(_272999, _272693)]], -(memberP(cons(_272848, _272999), _272693))], (1187 ^ _229996) ^ [] : [memberP(cons(_272848, _272999), _272693), -(_272693 = _272848), -(memberP(_272999, _272693))]]]]]]], (1205 ^ _229996) ^ [_273646] : [ssItem(_273646), memberP(nil, _273646)], (1211 ^ _229996) ^ [] : [singletonP(nil)], (1213 ^ _229996) ^ [_273887] : [ssList(_273887), 1216 ^ _229996 : [(1217 ^ _229996) ^ [_274039] : [ssList(_274039), 1220 ^ _229996 : [(1221 ^ _229996) ^ [_274187] : [ssList(_274187), -(frontsegP(_273887, _274187)), frontsegP(_273887, _274039), frontsegP(_274039, _274187)]]]]], (1235 ^ _229996) ^ [_274587] : [ssList(_274587), 1238 ^ _229996 : [(1239 ^ _229996) ^ [_274729] : [ssList(_274729), -(_274587 = _274729), frontsegP(_274587, _274729), frontsegP(_274729, _274587)]]], (1253 ^ _229996) ^ [_275108] : [ssList(_275108), -(frontsegP(_275108, _275108))], (1259 ^ _229996) ^ [_275296] : [ssList(_275296), 1262 ^ _229996 : [(1263 ^ _229996) ^ [_275445] : [ssList(_275445), 1266 ^ _229996 : [(1267 ^ _229996) ^ [_275590] : [ssList(_275590), frontsegP(_275296, _275445), -(frontsegP(app(_275296, _275590), _275445))]]]]], (1277 ^ _229996) ^ [_275903] : [ssItem(_275903), 1280 ^ _229996 : [(1281 ^ _229996) ^ [_276071] : [ssItem(_276071), 1284 ^ _229996 : [(1285 ^ _229996) ^ [_276235] : [ssList(_276235), 1288 ^ _229996 : [(1289 ^ _229996) ^ [_276395] : [ssList(_276395), 1292 ^ _229996 : [(1293 ^ _229996) ^ [] : [frontsegP(cons(_275903, _276235), cons(_276071, _276395)), 1296 ^ _229996 : [(1297 ^ _229996) ^ [] : [-(_275903 = _276071)], (1299 ^ _229996) ^ [] : [-(frontsegP(_276235, _276395))]]], (1301 ^ _229996) ^ [] : [-(frontsegP(cons(_275903, _276235), cons(_276071, _276395))), _275903 = _276071, frontsegP(_276235, _276395)]]]]]]]]], (1311 ^ _229996) ^ [_277080] : [ssList(_277080), -(frontsegP(_277080, nil))], (1317 ^ _229996) ^ [_277268] : [ssList(_277268), 1320 ^ _229996 : [(1321 ^ _229996) ^ [] : [frontsegP(nil, _277268), -(nil = _277268)], (1327 ^ _229996) ^ [] : [nil = _277268, -(frontsegP(nil, _277268))]]], (1333 ^ _229996) ^ [_277696] : [ssList(_277696), 1336 ^ _229996 : [(1337 ^ _229996) ^ [_277848] : [ssList(_277848), 1340 ^ _229996 : [(1341 ^ _229996) ^ [_277996] : [ssList(_277996), -(rearsegP(_277696, _277996)), rearsegP(_277696, _277848), rearsegP(_277848, _277996)]]]]], (1355 ^ _229996) ^ [_278396] : [ssList(_278396), 1358 ^ _229996 : [(1359 ^ _229996) ^ [_278538] : [ssList(_278538), -(_278396 = _278538), rearsegP(_278396, _278538), rearsegP(_278538, _278396)]]], (1373 ^ _229996) ^ [_278917] : [ssList(_278917), -(rearsegP(_278917, _278917))], (1379 ^ _229996) ^ [_279105] : [ssList(_279105), 1382 ^ _229996 : [(1383 ^ _229996) ^ [_279254] : [ssList(_279254), 1386 ^ _229996 : [(1387 ^ _229996) ^ [_279399] : [ssList(_279399), rearsegP(_279105, _279254), -(rearsegP(app(_279399, _279105), _279254))]]]]], (1397 ^ _229996) ^ [_279712] : [ssList(_279712), -(rearsegP(_279712, nil))], (1403 ^ _229996) ^ [_279900] : [ssList(_279900), 1406 ^ _229996 : [(1407 ^ _229996) ^ [] : [rearsegP(nil, _279900), -(nil = _279900)], (1413 ^ _229996) ^ [] : [nil = _279900, -(rearsegP(nil, _279900))]]], (1419 ^ _229996) ^ [_280328] : [ssList(_280328), 1422 ^ _229996 : [(1423 ^ _229996) ^ [_280480] : [ssList(_280480), 1426 ^ _229996 : [(1427 ^ _229996) ^ [_280628] : [ssList(_280628), -(segmentP(_280328, _280628)), segmentP(_280328, _280480), segmentP(_280480, _280628)]]]]], (1441 ^ _229996) ^ [_281028] : [ssList(_281028), 1444 ^ _229996 : [(1445 ^ _229996) ^ [_281170] : [ssList(_281170), -(_281028 = _281170), segmentP(_281028, _281170), segmentP(_281170, _281028)]]], (1459 ^ _229996) ^ [_281549] : [ssList(_281549), -(segmentP(_281549, _281549))], (1465 ^ _229996) ^ [_281737] : [ssList(_281737), 1468 ^ _229996 : [(1469 ^ _229996) ^ [_281899] : [ssList(_281899), 1472 ^ _229996 : [(1473 ^ _229996) ^ [_282057] : [ssList(_282057), 1476 ^ _229996 : [(1477 ^ _229996) ^ [_282211] : [ssList(_282211), segmentP(_281737, _281899), -(segmentP(app(app(_282057, _281737), _282211), _281899))]]]]]]], (1487 ^ _229996) ^ [_282547] : [ssList(_282547), -(segmentP(_282547, nil))], (1493 ^ _229996) ^ [_282735] : [ssList(_282735), 1496 ^ _229996 : [(1497 ^ _229996) ^ [] : [segmentP(nil, _282735), -(nil = _282735)], (1503 ^ _229996) ^ [] : [nil = _282735, -(segmentP(nil, _282735))]]], (1509 ^ _229996) ^ [_283163] : [ssItem(_283163), -(cyclefreeP(cons(_283163, nil)))], (1515 ^ _229996) ^ [] : [-(cyclefreeP(nil))], (1517 ^ _229996) ^ [_283408] : [ssItem(_283408), -(totalorderP(cons(_283408, nil)))], (1523 ^ _229996) ^ [] : [-(totalorderP(nil))], (1525 ^ _229996) ^ [_283653] : [ssItem(_283653), -(strictorderP(cons(_283653, nil)))], (1531 ^ _229996) ^ [] : [-(strictorderP(nil))], (1533 ^ _229996) ^ [_283898] : [ssItem(_283898), -(totalorderedP(cons(_283898, nil)))], (1539 ^ _229996) ^ [] : [-(totalorderedP(nil))], (1541 ^ _229996) ^ [_284143] : [ssItem(_284143), 1544 ^ _229996 : [(1545 ^ _229996) ^ [_284302] : [ssList(_284302), 1548 ^ _229996 : [(1549 ^ _229996) ^ [] : [totalorderedP(cons(_284143, _284302)), -(nil = _284302), 1556 ^ _229996 : [(1557 ^ _229996) ^ [] : [nil = _284302], (1559 ^ _229996) ^ [] : [-(totalorderedP(_284302))], (1561 ^ _229996) ^ [] : [-(leq(_284143, hd(_284302)))]]], (1563 ^ _229996) ^ [] : [-(totalorderedP(cons(_284143, _284302))), 1564 ^ _229996 : [(1565 ^ _229996) ^ [] : [nil = _284302], (1567 ^ _229996) ^ [] : [-(nil = _284302), totalorderedP(_284302), leq(_284143, hd(_284302))]]]]]]], (1579 ^ _229996) ^ [_285237] : [ssItem(_285237), -(strictorderedP(cons(_285237, nil)))], (1585 ^ _229996) ^ [] : [-(strictorderedP(nil))], (1587 ^ _229996) ^ [_285482] : [ssItem(_285482), 1590 ^ _229996 : [(1591 ^ _229996) ^ [_285641] : [ssList(_285641), 1594 ^ _229996 : [(1595 ^ _229996) ^ [] : [strictorderedP(cons(_285482, _285641)), -(nil = _285641), 1602 ^ _229996 : [(1603 ^ _229996) ^ [] : [nil = _285641], (1605 ^ _229996) ^ [] : [-(strictorderedP(_285641))], (1607 ^ _229996) ^ [] : [-(lt(_285482, hd(_285641)))]]], (1609 ^ _229996) ^ [] : [-(strictorderedP(cons(_285482, _285641))), 1610 ^ _229996 : [(1611 ^ _229996) ^ [] : [nil = _285641], (1613 ^ _229996) ^ [] : [-(nil = _285641), strictorderedP(_285641), lt(_285482, hd(_285641))]]]]]]], (1625 ^ _229996) ^ [_286576] : [ssItem(_286576), -(duplicatefreeP(cons(_286576, nil)))], (1631 ^ _229996) ^ [] : [-(duplicatefreeP(nil))], (1633 ^ _229996) ^ [_286821] : [ssItem(_286821), -(equalelemsP(cons(_286821, nil)))], (1639 ^ _229996) ^ [] : [-(equalelemsP(nil))], (1641 ^ _229996) ^ [_287066] : [ssList(_287066), -(nil = _287066), 1649 ^ _229996 : [(1650 ^ _229996) ^ [] : [-(ssItem(1648 ^ [_287066]))], (1652 ^ _229996) ^ [] : [-(hd(_287066) = 1648 ^ [_287066])]]], (1654 ^ _229996) ^ [_287480] : [ssList(_287480), -(nil = _287480), 1662 ^ _229996 : [(1663 ^ _229996) ^ [] : [-(ssList(1661 ^ [_287480]))], (1665 ^ _229996) ^ [] : [-(tl(_287480) = 1661 ^ [_287480])]]], (1667 ^ _229996) ^ [_287894] : [ssList(_287894), 1670 ^ _229996 : [(1671 ^ _229996) ^ [_288060] : [ssList(_288060), -(_288060 = _287894), -(nil = _288060), -(nil = _287894), hd(_288060) = hd(_287894), tl(_288060) = tl(_287894)]]], (1693 ^ _229996) ^ [_288639] : [ssList(_288639), -(nil = _288639), -(cons(hd(_288639), tl(_288639)) = _288639)], (1703 ^ _229996) ^ [_288929] : [ssList(_288929), 1706 ^ _229996 : [(1707 ^ _229996) ^ [_289081] : [ssList(_289081), 1710 ^ _229996 : [(1711 ^ _229996) ^ [_289229] : [ssList(_289229), app(_289229, _289081) = app(_288929, _289081), -(_289229 = _288929)]]]]], (1721 ^ _229996) ^ [_289548] : [ssList(_289548), 1724 ^ _229996 : [(1725 ^ _229996) ^ [_289700] : [ssList(_289700), 1728 ^ _229996 : [(1729 ^ _229996) ^ [_289848] : [ssList(_289848), app(_289700, _289848) = app(_289700, _289548), -(_289848 = _289548)]]]]], (1739 ^ _229996) ^ [_290167] : [ssList(_290167), 1742 ^ _229996 : [(1743 ^ _229996) ^ [_290306] : [ssItem(_290306), -(cons(_290306, _290167) = app(cons(_290306, nil), _290167))]]], (1749 ^ _229996) ^ [_290525] : [ssList(_290525), 1752 ^ _229996 : [(1753 ^ _229996) ^ [_290677] : [ssList(_290677), 1756 ^ _229996 : [(1757 ^ _229996) ^ [_290825] : [ssList(_290825), -(app(app(_290525, _290677), _290825) = app(_290525, app(_290677, _290825)))]]]]], (1763 ^ _229996) ^ [_291063] : [ssList(_291063), 1766 ^ _229996 : [(1767 ^ _229996) ^ [_291208] : [ssList(_291208), 1770 ^ _229996 : [(1771 ^ _229996) ^ [] : [nil = app(_291063, _291208), 1774 ^ _229996 : [(1775 ^ _229996) ^ [] : [-(nil = _291208)], (1777 ^ _229996) ^ [] : [-(nil = _291063)]]], (1779 ^ _229996) ^ [] : [-(nil = app(_291063, _291208)), nil = _291208, nil = _291063]]]]], (1789 ^ _229996) ^ [_291826] : [ssList(_291826), -(app(_291826, nil) = _291826)], (1795 ^ _229996) ^ [_292020] : [ssList(_292020), 1798 ^ _229996 : [(1799 ^ _229996) ^ [_292165] : [ssList(_292165), -(nil = _292020), -(hd(app(_292020, _292165)) = hd(_292020))]]], (1809 ^ _229996) ^ [_292472] : [ssList(_292472), 1812 ^ _229996 : [(1813 ^ _229996) ^ [_292620] : [ssList(_292620), -(nil = _292472), -(tl(app(_292472, _292620)) = app(tl(_292472), _292620))]]], (1823 ^ _229996) ^ [_292933] : [ssItem(_292933), 1826 ^ _229996 : [(1827 ^ _229996) ^ [_293075] : [ssItem(_293075), -(_292933 = _293075), geq(_292933, _293075), geq(_293075, _292933)]]], (1841 ^ _229996) ^ [_293454] : [ssItem(_293454), 1844 ^ _229996 : [(1845 ^ _229996) ^ [_293606] : [ssItem(_293606), 1848 ^ _229996 : [(1849 ^ _229996) ^ [_293754] : [ssItem(_293754), -(geq(_293454, _293754)), geq(_293454, _293606), geq(_293606, _293754)]]]]], (1863 ^ _229996) ^ [_294154] : [ssItem(_294154), -(geq(_294154, _294154))], (1869 ^ _229996) ^ [_294342] : [ssItem(_294342), lt(_294342, _294342)], (1875 ^ _229996) ^ [_294531] : [ssItem(_294531), 1878 ^ _229996 : [(1879 ^ _229996) ^ [_294683] : [ssItem(_294683), 1882 ^ _229996 : [(1883 ^ _229996) ^ [_294831] : [ssItem(_294831), -(lt(_294531, _294831)), leq(_294531, _294683), lt(_294683, _294831)]]]]], (1897 ^ _229996) ^ [_295231] : [ssItem(_295231), 1900 ^ _229996 : [(1901 ^ _229996) ^ [_295373] : [ssItem(_295373), leq(_295231, _295373), -(_295231 = _295373), -(lt(_295231, _295373))]]], (1915 ^ _229996) ^ [_295753] : [ssItem(_295753), 1918 ^ _229996 : [(1919 ^ _229996) ^ [_295897] : [ssItem(_295897), 1922 ^ _229996 : [(1923 ^ _229996) ^ [] : [lt(_295753, _295897), 1926 ^ _229996 : [(1927 ^ _229996) ^ [] : [_295753 = _295897], (1929 ^ _229996) ^ [] : [-(leq(_295753, _295897))]]], (1931 ^ _229996) ^ [] : [-(lt(_295753, _295897)), -(_295753 = _295897), leq(_295753, _295897)]]]]], (1941 ^ _229996) ^ [_296508] : [ssItem(_296508), 1944 ^ _229996 : [(1945 ^ _229996) ^ [_296646] : [ssItem(_296646), gt(_296508, _296646), gt(_296646, _296508)]]], (1955 ^ _229996) ^ [_296917] : [ssItem(_296917), 1958 ^ _229996 : [(1959 ^ _229996) ^ [_297069] : [ssItem(_297069), 1962 ^ _229996 : [(1963 ^ _229996) ^ [_297217] : [ssItem(_297217), -(gt(_296917, _297217)), gt(_296917, _297069), gt(_297069, _297217)]]]]]], input).
% 8.47/8.65  ncf('1',plain,[ssList(1976 ^ []), 865 : ssList(1976 ^ []), 869 : neq(1976 ^ [], 1976 ^ []), 869 : 1976 ^ [] = 1976 ^ []],start(861 ^ 0,bind([[_262573, _262711], [1976 ^ [], 1976 ^ []]]))).
% 8.47/8.65  ncf('1.1',plain,[-(ssList(1976 ^ []))],extension(1978 ^ 1)).
% 8.47/8.65  ncf('1.2',plain,[-(ssList(1976 ^ []))],extension(1978 ^ 3)).
% 8.47/8.65  ncf('1.3',plain,[-(neq(1976 ^ [], 1976 ^ [])), -(1976 ^ [] = 1976 ^ [])],extension(875 ^ 5)).
% 8.47/8.65  ncf('1.3.1',plain,[1976 ^ [] = 1976 ^ [], -(1982 ^ [] = 1976 ^ []), 1982 ^ [] = 1976 ^ []],extension(10 ^ 6,bind([[_230451, _230453, _230455], [1976 ^ [], 1976 ^ [], 1982 ^ []]]))).
% 8.47/8.65  ncf('1.3.1.1',plain,[1982 ^ [] = 1976 ^ [], -(strictorderedP(1976 ^ [])), strictorderedP(1982 ^ [])],extension(236 ^ 7,bind([[_237395, _237397], [1976 ^ [], 1982 ^ []]]))).
% 8.47/8.65  ncf('1.3.1.1.1',plain,[strictorderedP(1976 ^ [])],extension(1995 ^ 8)).
% 8.47/8.65  ncf('1.3.1.1.2',plain,[-(strictorderedP(1982 ^ []))],extension(1993 ^ 8)).
% 8.47/8.65  ncf('1.3.1.2',plain,[-(1982 ^ [] = 1976 ^ []), 1976 ^ [] = 1982 ^ []],extension(4 ^ 7,bind([[_230247, _230249], [1982 ^ [], 1976 ^ []]]))).
% 8.47/8.65  ncf('1.3.1.2.1',plain,[-(1976 ^ [] = 1982 ^ [])],extension(1991 ^ 8)).
% 8.47/8.65  ncf('1.4',plain,[-(1976 ^ [] = 1976 ^ [])],extension(2 ^ 5,bind([[_230140], [1976 ^ []]]))).
% 8.47/8.65  %-----------------------------------------------------
% 8.47/8.65  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------