%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWC254+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n016.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 12:13:00 EDT 2023

% Result   : Theorem 0.72s 1.37s
% Output   : Proof 0.72s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SWC254+1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n016.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 01:34:12 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.72/1.37  
% 0.72/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.72/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.72/1.37  %-----------------------------------------------------
% 0.72/1.37  ncf(matrix, plain, [(1978 ^ _234575) ^ [] : [-(ssList(1976 ^ []))], (1981 ^ _234575) ^ [] : [-(ssList(1979 ^ []))], (1984 ^ _234575) ^ [] : [-(ssList(1982 ^ []))], (1987 ^ _234575) ^ [] : [-(ssList(1985 ^ []))], (1989 ^ _234575) ^ [] : [-(1979 ^ [] = 1985 ^ [])], (1991 ^ _234575) ^ [] : [-(1976 ^ [] = 1982 ^ [])], (1993 ^ _234575) ^ [] : [1994 ^ _234575 : [(1995 ^ _234575) ^ [] : [-(neq(1979 ^ [], nil))], (1998 ^ _234575) ^ [] : [-(ssItem(1996 ^ []))], (2001 ^ _234575) ^ [] : [-(ssList(1999 ^ []))], (2003 ^ _234575) ^ [] : [-(cons(1996 ^ [], nil) = 1982 ^ [])], (2005 ^ _234575) ^ [] : [-(app(1999 ^ [], cons(1996 ^ [], nil)) = 1985 ^ [])], (2007 ^ _234575) ^ [] : [singletonP(1976 ^ [])]], 2008 ^ _234575 : [(2009 ^ _234575) ^ [] : [-(neq(1979 ^ [], nil))], (2011 ^ _234575) ^ [] : [neq(1985 ^ [], nil)]]], (246 ^ _234575) ^ [_242351, _242353] : [_242353 = _242351, -(hd(_242353) = hd(_242351))], (252 ^ _234575) ^ [_242569, _242571] : [_242571 = _242569, -(tl(_242571) = tl(_242569))], (258 ^ _234575) ^ [_242815, _242817, _242819, _242821] : [-(app(_242821, _242817) = app(_242819, _242815)), _242821 = _242819, _242817 = _242815], (268 ^ _234575) ^ [_243154, _243156, _243158, _243160] : [-(cons(_243160, _243156) = cons(_243158, _243154)), _243160 = _243158, _243156 = _243154], (2 ^ _234575) ^ [_234719] : [-(_234719 = _234719)], (4 ^ _234575) ^ [_234826, _234828] : [_234828 = _234826, -(_234826 = _234828)], (10 ^ _234575) ^ [_235030, _235032, _235034] : [-(_235034 = _235030), _235034 = _235032, _235032 = _235030], (20 ^ _234575) ^ [_235371, _235373, _235375, _235377] : [-(memberP(_235375, _235371)), memberP(_235377, _235373), _235377 = _235375, _235373 = _235371], (34 ^ _234575) ^ [_235815, _235817, _235819, _235821] : [-(frontsegP(_235819, _235815)), frontsegP(_235821, _235817), _235821 = _235819, _235817 = _235815], (48 ^ _234575) ^ [_236259, _236261, _236263, _236265] : [-(rearsegP(_236263, _236259)), rearsegP(_236265, _236261), _236265 = _236263, _236261 = _236259], (62 ^ _234575) ^ [_236703, _236705, _236707, _236709] : [-(segmentP(_236707, _236703)), segmentP(_236709, _236705), _236709 = _236707, _236705 = _236703], (76 ^ _234575) ^ [_237119, _237121] : [-(cyclefreeP(_237119)), _237121 = _237119, cyclefreeP(_237121)], (86 ^ _234575) ^ [_237414, _237416] : [-(totalorderP(_237414)), _237416 = _237414, totalorderP(_237416)], (96 ^ _234575) ^ [_237709, _237711] : [-(strictorderP(_237709)), _237711 = _237709, strictorderP(_237711)], (106 ^ _234575) ^ [_238004, _238006] : [-(totalorderedP(_238004)), _238006 = _238004, totalorderedP(_238006)], (116 ^ _234575) ^ [_238299, _238301] : [-(strictorderedP(_238299)), _238301 = _238299, strictorderedP(_238301)], (126 ^ _234575) ^ [_238594, _238596] : [-(duplicatefreeP(_238594)), _238596 = _238594, duplicatefreeP(_238596)], (136 ^ _234575) ^ [_238889, _238891] : [-(equalelemsP(_238889)), _238891 = _238889, equalelemsP(_238891)], (146 ^ _234575) ^ [_239212, _239214, _239216, _239218] : [-(geq(_239216, _239212)), geq(_239218, _239214), _239218 = _239216, _239214 = _239212], (160 ^ _234575) ^ [_239656, _239658, _239660, _239662] : [-(lt(_239660, _239656)), lt(_239662, _239658), _239662 = _239660, _239658 = _239656], (174 ^ _234575) ^ [_240100, _240102, _240104, _240106] : [-(leq(_240104, _240100)), leq(_240106, _240102), _240106 = _240104, _240102 = _240100], (188 ^ _234575) ^ [_240544, _240546, _240548, _240550] : [-(gt(_240548, _240544)), gt(_240550, _240546), _240550 = _240548, _240546 = _240544], (202 ^ _234575) ^ [_240960, _240962] : [-(ssItem(_240960)), _240962 = _240960, ssItem(_240962)], (212 ^ _234575) ^ [_241255, _241257] : [-(ssList(_241255)), _241257 = _241255, ssList(_241257)], (222 ^ _234575) ^ [_241550, _241552] : [-(singletonP(_241550)), _241552 = _241550, singletonP(_241552)], (232 ^ _234575) ^ [_241853, _241855, _241857, _241859] : [-(neq(_241857, _241853)), neq(_241859, _241855), _241859 = _241857, _241855 = _241853], (278 ^ _234575) ^ [_243489] : [ssItem(_243489), 281 ^ _234575 : [(282 ^ _234575) ^ [_243627] : [ssItem(_243627), 285 ^ _234575 : [(286 ^ _234575) ^ [] : [neq(_243489, _243627), _243489 = _243627], (292 ^ _234575) ^ [] : [-(_243489 = _243627), -(neq(_243489, _243627))]]]]], (299 ^ _234575) ^ [] : [-(ssItem(297 ^ []))], (302 ^ _234575) ^ [] : [-(ssItem(300 ^ []))], (304 ^ _234575) ^ [] : [297 ^ [] = 300 ^ []], (306 ^ _234575) ^ [_244340] : [ssList(_244340), 309 ^ _234575 : [(310 ^ _234575) ^ [_244502] : [ssItem(_244502), 313 ^ _234575 : [(314 ^ _234575) ^ [] : [memberP(_244340, _244502), 318 ^ _234575 : [(319 ^ _234575) ^ [] : [-(ssList(317 ^ [_244340, _244502]))], (322 ^ _234575) ^ [] : [-(ssList(320 ^ [_244340, _244502]))], (324 ^ _234575) ^ [] : [-(app(317 ^ [_244340, _244502], cons(_244502, 320 ^ [_244340, _244502])) = _244340)]]], (326 ^ _234575) ^ [] : [-(memberP(_244340, _244502)), 327 ^ _234575 : [(328 ^ _234575) ^ [_245150] : [ssList(_245150), 331 ^ _234575 : [(332 ^ _234575) ^ [_245298] : [ssList(_245298), app(_245150, cons(_244502, _245298)) = _244340]]]]]]]]], (340 ^ _234575) ^ [_245589] : [ssList(_245589), 343 ^ _234575 : [(344 ^ _234575) ^ [] : [singletonP(_245589), 348 ^ _234575 : [(349 ^ _234575) ^ [] : [-(ssItem(347 ^ [_245589]))], (351 ^ _234575) ^ [] : [-(cons(347 ^ [_245589], nil) = _245589)]]], (353 ^ _234575) ^ [] : [-(singletonP(_245589)), 354 ^ _234575 : [(355 ^ _234575) ^ [_246038] : [ssItem(_246038), cons(_246038, nil) = _245589]]]]], (363 ^ _234575) ^ [_246294] : [ssList(_246294), 366 ^ _234575 : [(367 ^ _234575) ^ [_246443] : [ssList(_246443), 370 ^ _234575 : [(371 ^ _234575) ^ [] : [frontsegP(_246294, _246443), 375 ^ _234575 : [(376 ^ _234575) ^ [] : [-(ssList(374 ^ [_246294, _246443]))], (378 ^ _234575) ^ [] : [-(app(_246443, 374 ^ [_246294, _246443]) = _246294)]]], (380 ^ _234575) ^ [] : [-(frontsegP(_246294, _246443)), 381 ^ _234575 : [(382 ^ _234575) ^ [_246918] : [ssList(_246918), app(_246443, _246918) = _246294]]]]]]], (390 ^ _234575) ^ [_247190] : [ssList(_247190), 393 ^ _234575 : [(394 ^ _234575) ^ [_247339] : [ssList(_247339), 397 ^ _234575 : [(398 ^ _234575) ^ [] : [rearsegP(_247190, _247339), 402 ^ _234575 : [(403 ^ _234575) ^ [] : [-(ssList(401 ^ [_247190, _247339]))], (405 ^ _234575) ^ [] : [-(app(401 ^ [_247190, _247339], _247339) = _247190)]]], (407 ^ _234575) ^ [] : [-(rearsegP(_247190, _247339)), 408 ^ _234575 : [(409 ^ _234575) ^ [_247814] : [ssList(_247814), app(_247814, _247339) = _247190]]]]]]], (417 ^ _234575) ^ [_248086] : [ssList(_248086), 420 ^ _234575 : [(421 ^ _234575) ^ [_248248] : [ssList(_248248), 424 ^ _234575 : [(425 ^ _234575) ^ [] : [segmentP(_248086, _248248), 429 ^ _234575 : [(430 ^ _234575) ^ [] : [-(ssList(428 ^ [_248086, _248248]))], (433 ^ _234575) ^ [] : [-(ssList(431 ^ [_248086, _248248]))], (435 ^ _234575) ^ [] : [-(app(app(428 ^ [_248086, _248248], _248248), 431 ^ [_248086, _248248]) = _248086)]]], (437 ^ _234575) ^ [] : [-(segmentP(_248086, _248248)), 438 ^ _234575 : [(439 ^ _234575) ^ [_248896] : [ssList(_248896), 442 ^ _234575 : [(443 ^ _234575) ^ [_249044] : [ssList(_249044), app(app(_248896, _248248), _249044) = _248086]]]]]]]]], (451 ^ _234575) ^ [_249335] : [ssList(_249335), 454 ^ _234575 : [(489 ^ _234575) ^ [] : [491 ^ _234575 : [(492 ^ _234575) ^ [] : [-(ssItem(490 ^ [_249335]))], (495 ^ _234575) ^ [] : [-(ssItem(493 ^ [_249335]))], (498 ^ _234575) ^ [] : [-(ssList(496 ^ [_249335]))], (501 ^ _234575) ^ [] : [-(ssList(499 ^ [_249335]))], (504 ^ _234575) ^ [] : [-(ssList(502 ^ [_249335]))], (506 ^ _234575) ^ [] : [-(app(app(496 ^ [_249335], cons(490 ^ [_249335], 499 ^ [_249335])), cons(493 ^ [_249335], 502 ^ [_249335])) = _249335)], (508 ^ _234575) ^ [] : [-(leq(490 ^ [_249335], 493 ^ [_249335]))], (510 ^ _234575) ^ [] : [-(leq(493 ^ [_249335], 490 ^ [_249335]))]], -(cyclefreeP(_249335))], (455 ^ _234575) ^ [] : [cyclefreeP(_249335), 458 ^ _234575 : [(459 ^ _234575) ^ [_249639] : [ssItem(_249639), 462 ^ _234575 : [(463 ^ _234575) ^ [_249831] : [ssItem(_249831), 466 ^ _234575 : [(467 ^ _234575) ^ [_250019] : [ssList(_250019), 470 ^ _234575 : [(471 ^ _234575) ^ [_250203] : [ssList(_250203), 474 ^ _234575 : [(475 ^ _234575) ^ [_250383] : [ssList(_250383), app(app(_250019, cons(_249639, _250203)), cons(_249831, _250383)) = _249335, leq(_249639, _249831), leq(_249831, _249639)]]]]]]]]]]]]], (514 ^ _234575) ^ [_252121] : [ssList(_252121), 517 ^ _234575 : [(552 ^ _234575) ^ [] : [554 ^ _234575 : [(555 ^ _234575) ^ [] : [-(ssItem(553 ^ [_252121]))], (558 ^ _234575) ^ [] : [-(ssItem(556 ^ [_252121]))], (561 ^ _234575) ^ [] : [-(ssList(559 ^ [_252121]))], (564 ^ _234575) ^ [] : [-(ssList(562 ^ [_252121]))], (567 ^ _234575) ^ [] : [-(ssList(565 ^ [_252121]))], (569 ^ _234575) ^ [] : [-(app(app(559 ^ [_252121], cons(553 ^ [_252121], 562 ^ [_252121])), cons(556 ^ [_252121], 565 ^ [_252121])) = _252121)], (571 ^ _234575) ^ [] : [leq(553 ^ [_252121], 556 ^ [_252121])], (573 ^ _234575) ^ [] : [leq(556 ^ [_252121], 553 ^ [_252121])]], -(totalorderP(_252121))], (518 ^ _234575) ^ [] : [totalorderP(_252121), 521 ^ _234575 : [(522 ^ _234575) ^ [_252423] : [ssItem(_252423), 525 ^ _234575 : [(526 ^ _234575) ^ [_252613] : [ssItem(_252613), 529 ^ _234575 : [(530 ^ _234575) ^ [_252799] : [ssList(_252799), 533 ^ _234575 : [(534 ^ _234575) ^ [_252981] : [ssList(_252981), 537 ^ _234575 : [(538 ^ _234575) ^ [_253159] : [ssList(_253159), app(app(_252799, cons(_252423, _252981)), cons(_252613, _253159)) = _252121, -(leq(_252423, _252613)), -(leq(_252613, _252423))]]]]]]]]]]]]], (577 ^ _234575) ^ [_254885] : [ssList(_254885), 580 ^ _234575 : [(615 ^ _234575) ^ [] : [617 ^ _234575 : [(618 ^ _234575) ^ [] : [-(ssItem(616 ^ [_254885]))], (621 ^ _234575) ^ [] : [-(ssItem(619 ^ [_254885]))], (624 ^ _234575) ^ [] : [-(ssList(622 ^ [_254885]))], (627 ^ _234575) ^ [] : [-(ssList(625 ^ [_254885]))], (630 ^ _234575) ^ [] : [-(ssList(628 ^ [_254885]))], (632 ^ _234575) ^ [] : [-(app(app(622 ^ [_254885], cons(616 ^ [_254885], 625 ^ [_254885])), cons(619 ^ [_254885], 628 ^ [_254885])) = _254885)], (634 ^ _234575) ^ [] : [lt(616 ^ [_254885], 619 ^ [_254885])], (636 ^ _234575) ^ [] : [lt(619 ^ [_254885], 616 ^ [_254885])]], -(strictorderP(_254885))], (581 ^ _234575) ^ [] : [strictorderP(_254885), 584 ^ _234575 : [(585 ^ _234575) ^ [_255187] : [ssItem(_255187), 588 ^ _234575 : [(589 ^ _234575) ^ [_255377] : [ssItem(_255377), 592 ^ _234575 : [(593 ^ _234575) ^ [_255563] : [ssList(_255563), 596 ^ _234575 : [(597 ^ _234575) ^ [_255745] : [ssList(_255745), 600 ^ _234575 : [(601 ^ _234575) ^ [_255923] : [ssList(_255923), app(app(_255563, cons(_255187, _255745)), cons(_255377, _255923)) = _254885, -(lt(_255187, _255377)), -(lt(_255377, _255187))]]]]]]]]]]]]], (640 ^ _234575) ^ [_257649] : [ssList(_257649), 643 ^ _234575 : [(674 ^ _234575) ^ [] : [676 ^ _234575 : [(677 ^ _234575) ^ [] : [-(ssItem(675 ^ [_257649]))], (680 ^ _234575) ^ [] : [-(ssItem(678 ^ [_257649]))], (683 ^ _234575) ^ [] : [-(ssList(681 ^ [_257649]))], (686 ^ _234575) ^ [] : [-(ssList(684 ^ [_257649]))], (689 ^ _234575) ^ [] : [-(ssList(687 ^ [_257649]))], (691 ^ _234575) ^ [] : [-(app(app(681 ^ [_257649], cons(675 ^ [_257649], 684 ^ [_257649])), cons(678 ^ [_257649], 687 ^ [_257649])) = _257649)], (693 ^ _234575) ^ [] : [leq(675 ^ [_257649], 678 ^ [_257649])]], -(totalorderedP(_257649))], (644 ^ _234575) ^ [] : [totalorderedP(_257649), 647 ^ _234575 : [(648 ^ _234575) ^ [_257945] : [ssItem(_257945), 651 ^ _234575 : [(652 ^ _234575) ^ [_258129] : [ssItem(_258129), 655 ^ _234575 : [(656 ^ _234575) ^ [_258309] : [ssList(_258309), 659 ^ _234575 : [(660 ^ _234575) ^ [_258485] : [ssList(_258485), 663 ^ _234575 : [(664 ^ _234575) ^ [_258657] : [ssList(_258657), app(app(_258309, cons(_257945, _258485)), cons(_258129, _258657)) = _257649, -(leq(_257945, _258129))]]]]]]]]]]]]], (697 ^ _234575) ^ [_260137] : [ssList(_260137), 700 ^ _234575 : [(731 ^ _234575) ^ [] : [733 ^ _234575 : [(734 ^ _234575) ^ [] : [-(ssItem(732 ^ [_260137]))], (737 ^ _234575) ^ [] : [-(ssItem(735 ^ [_260137]))], (740 ^ _234575) ^ [] : [-(ssList(738 ^ [_260137]))], (743 ^ _234575) ^ [] : [-(ssList(741 ^ [_260137]))], (746 ^ _234575) ^ [] : [-(ssList(744 ^ [_260137]))], (748 ^ _234575) ^ [] : [-(app(app(738 ^ [_260137], cons(732 ^ [_260137], 741 ^ [_260137])), cons(735 ^ [_260137], 744 ^ [_260137])) = _260137)], (750 ^ _234575) ^ [] : [lt(732 ^ [_260137], 735 ^ [_260137])]], -(strictorderedP(_260137))], (701 ^ _234575) ^ [] : [strictorderedP(_260137), 704 ^ _234575 : [(705 ^ _234575) ^ [_260433] : [ssItem(_260433), 708 ^ _234575 : [(709 ^ _234575) ^ [_260617] : [ssItem(_260617), 712 ^ _234575 : [(713 ^ _234575) ^ [_260797] : [ssList(_260797), 716 ^ _234575 : [(717 ^ _234575) ^ [_260973] : [ssList(_260973), 720 ^ _234575 : [(721 ^ _234575) ^ [_261145] : [ssList(_261145), app(app(_260797, cons(_260433, _260973)), cons(_260617, _261145)) = _260137, -(lt(_260433, _260617))]]]]]]]]]]]]], (754 ^ _234575) ^ [_262625] : [ssList(_262625), 757 ^ _234575 : [(788 ^ _234575) ^ [] : [790 ^ _234575 : [(791 ^ _234575) ^ [] : [-(ssItem(789 ^ [_262625]))], (794 ^ _234575) ^ [] : [-(ssItem(792 ^ [_262625]))], (797 ^ _234575) ^ [] : [-(ssList(795 ^ [_262625]))], (800 ^ _234575) ^ [] : [-(ssList(798 ^ [_262625]))], (803 ^ _234575) ^ [] : [-(ssList(801 ^ [_262625]))], (805 ^ _234575) ^ [] : [-(app(app(795 ^ [_262625], cons(789 ^ [_262625], 798 ^ [_262625])), cons(792 ^ [_262625], 801 ^ [_262625])) = _262625)], (807 ^ _234575) ^ [] : [-(789 ^ [_262625] = 792 ^ [_262625])]], -(duplicatefreeP(_262625))], (758 ^ _234575) ^ [] : [duplicatefreeP(_262625), 761 ^ _234575 : [(762 ^ _234575) ^ [_262923] : [ssItem(_262923), 765 ^ _234575 : [(766 ^ _234575) ^ [_263109] : [ssItem(_263109), 769 ^ _234575 : [(770 ^ _234575) ^ [_263291] : [ssList(_263291), 773 ^ _234575 : [(774 ^ _234575) ^ [_263469] : [ssList(_263469), 777 ^ _234575 : [(778 ^ _234575) ^ [_263643] : [ssList(_263643), app(app(_263291, cons(_262923, _263469)), cons(_263109, _263643)) = _262625, _262923 = _263109]]]]]]]]]]]]], (811 ^ _234575) ^ [_265135] : [ssList(_265135), 814 ^ _234575 : [(841 ^ _234575) ^ [] : [843 ^ _234575 : [(844 ^ _234575) ^ [] : [-(ssItem(842 ^ [_265135]))], (847 ^ _234575) ^ [] : [-(ssItem(845 ^ [_265135]))], (850 ^ _234575) ^ [] : [-(ssList(848 ^ [_265135]))], (853 ^ _234575) ^ [] : [-(ssList(851 ^ [_265135]))], (855 ^ _234575) ^ [] : [-(app(848 ^ [_265135], cons(842 ^ [_265135], cons(845 ^ [_265135], 851 ^ [_265135]))) = _265135)], (857 ^ _234575) ^ [] : [842 ^ [_265135] = 845 ^ [_265135]]], -(equalelemsP(_265135))], (815 ^ _234575) ^ [] : [equalelemsP(_265135), 818 ^ _234575 : [(819 ^ _234575) ^ [_265418] : [ssItem(_265418), 822 ^ _234575 : [(823 ^ _234575) ^ [_265589] : [ssItem(_265589), 826 ^ _234575 : [(827 ^ _234575) ^ [_265756] : [ssList(_265756), 830 ^ _234575 : [(831 ^ _234575) ^ [_265919] : [ssList(_265919), app(_265756, cons(_265418, cons(_265589, _265919))) = _265135, -(_265418 = _265589)]]]]]]]]]]], (861 ^ _234575) ^ [_267152] : [ssList(_267152), 864 ^ _234575 : [(865 ^ _234575) ^ [_267290] : [ssList(_267290), 868 ^ _234575 : [(869 ^ _234575) ^ [] : [neq(_267152, _267290), _267152 = _267290], (875 ^ _234575) ^ [] : [-(_267152 = _267290), -(neq(_267152, _267290))]]]]], (881 ^ _234575) ^ [_267743] : [ssList(_267743), 884 ^ _234575 : [(885 ^ _234575) ^ [_267875] : [ssItem(_267875), -(ssList(cons(_267875, _267743)))]]], (891 ^ _234575) ^ [] : [-(ssList(nil))], (893 ^ _234575) ^ [_268133] : [ssList(_268133), 896 ^ _234575 : [(897 ^ _234575) ^ [_268268] : [ssItem(_268268), cons(_268268, _268133) = _268133]]], (903 ^ _234575) ^ [_268476] : [ssList(_268476), 906 ^ _234575 : [(907 ^ _234575) ^ [_268644] : [ssList(_268644), 910 ^ _234575 : [(911 ^ _234575) ^ [_268808] : [ssItem(_268808), 914 ^ _234575 : [(915 ^ _234575) ^ [_268968] : [ssItem(_268968), cons(_268808, _268476) = cons(_268968, _268644), 922 ^ _234575 : [(923 ^ _234575) ^ [] : [-(_268808 = _268968)], (925 ^ _234575) ^ [] : [-(_268644 = _268476)]]]]]]]]], (927 ^ _234575) ^ [_269383] : [ssList(_269383), -(nil = _269383), 935 ^ _234575 : [(936 ^ _234575) ^ [] : [-(ssList(934 ^ [_269383]))], (939 ^ _234575) ^ [] : [-(ssItem(937 ^ [_269383]))], (941 ^ _234575) ^ [] : [-(cons(937 ^ [_269383], 934 ^ [_269383]) = _269383)]]], (943 ^ _234575) ^ [_269947] : [ssList(_269947), 946 ^ _234575 : [(947 ^ _234575) ^ [_270082] : [ssItem(_270082), nil = cons(_270082, _269947)]]], (953 ^ _234575) ^ [_270290] : [ssList(_270290), -(nil = _270290), -(ssItem(hd(_270290)))], (963 ^ _234575) ^ [_270568] : [ssList(_270568), 966 ^ _234575 : [(967 ^ _234575) ^ [_270703] : [ssItem(_270703), -(hd(cons(_270703, _270568)) = _270703)]]], (973 ^ _234575) ^ [_270914] : [ssList(_270914), -(nil = _270914), -(ssList(tl(_270914)))], (983 ^ _234575) ^ [_271192] : [ssList(_271192), 986 ^ _234575 : [(987 ^ _234575) ^ [_271327] : [ssItem(_271327), -(tl(cons(_271327, _271192)) = _271192)]]], (993 ^ _234575) ^ [_271538] : [ssList(_271538), 996 ^ _234575 : [(997 ^ _234575) ^ [_271670] : [ssList(_271670), -(ssList(app(_271538, _271670)))]]], (1003 ^ _234575) ^ [_271875] : [ssList(_271875), 1006 ^ _234575 : [(1007 ^ _234575) ^ [_272027] : [ssList(_272027), 1010 ^ _234575 : [(1011 ^ _234575) ^ [_272175] : [ssItem(_272175), -(cons(_272175, app(_272027, _271875)) = app(cons(_272175, _272027), _271875))]]]]], (1017 ^ _234575) ^ [_272413] : [ssList(_272413), -(app(nil, _272413) = _272413)], (1023 ^ _234575) ^ [_272607] : [ssItem(_272607), 1026 ^ _234575 : [(1027 ^ _234575) ^ [_272749] : [ssItem(_272749), -(_272607 = _272749), leq(_272607, _272749), leq(_272749, _272607)]]], (1041 ^ _234575) ^ [_273128] : [ssItem(_273128), 1044 ^ _234575 : [(1045 ^ _234575) ^ [_273280] : [ssItem(_273280), 1048 ^ _234575 : [(1049 ^ _234575) ^ [_273428] : [ssItem(_273428), -(leq(_273128, _273428)), leq(_273128, _273280), leq(_273280, _273428)]]]]], (1063 ^ _234575) ^ [_273828] : [ssItem(_273828), -(leq(_273828, _273828))], (1069 ^ _234575) ^ [_274016] : [ssItem(_274016), 1072 ^ _234575 : [(1073 ^ _234575) ^ [_274152] : [ssItem(_274152), 1076 ^ _234575 : [(1077 ^ _234575) ^ [] : [geq(_274016, _274152), -(leq(_274152, _274016))], (1083 ^ _234575) ^ [] : [leq(_274152, _274016), -(geq(_274016, _274152))]]]]], (1089 ^ _234575) ^ [_274603] : [ssItem(_274603), 1092 ^ _234575 : [(1093 ^ _234575) ^ [_274741] : [ssItem(_274741), lt(_274603, _274741), lt(_274741, _274603)]]], (1103 ^ _234575) ^ [_275032] : [ssItem(_275032), 1106 ^ _234575 : [(1107 ^ _234575) ^ [_275184] : [ssItem(_275184), 1110 ^ _234575 : [(1111 ^ _234575) ^ [_275332] : [ssItem(_275332), -(lt(_275032, _275332)), lt(_275032, _275184), lt(_275184, _275332)]]]]], (1125 ^ _234575) ^ [_275732] : [ssItem(_275732), 1128 ^ _234575 : [(1129 ^ _234575) ^ [_275868] : [ssItem(_275868), 1132 ^ _234575 : [(1133 ^ _234575) ^ [] : [gt(_275732, _275868), -(lt(_275868, _275732))], (1139 ^ _234575) ^ [] : [lt(_275868, _275732), -(gt(_275732, _275868))]]]]], (1145 ^ _234575) ^ [_276319] : [ssItem(_276319), 1148 ^ _234575 : [(1149 ^ _234575) ^ [_276474] : [ssList(_276474), 1152 ^ _234575 : [(1153 ^ _234575) ^ [_276625] : [ssList(_276625), 1156 ^ _234575 : [(1167 ^ _234575) ^ [] : [1168 ^ _234575 : [(1169 ^ _234575) ^ [] : [memberP(_276474, _276319)], (1171 ^ _234575) ^ [] : [memberP(_276625, _276319)]], -(memberP(app(_276474, _276625), _276319))], (1157 ^ _234575) ^ [] : [memberP(app(_276474, _276625), _276319), -(memberP(_276474, _276319)), -(memberP(_276625, _276319))]]]]]]], (1175 ^ _234575) ^ [_277272] : [ssItem(_277272), 1178 ^ _234575 : [(1179 ^ _234575) ^ [_277427] : [ssItem(_277427), 1182 ^ _234575 : [(1183 ^ _234575) ^ [_277578] : [ssList(_277578), 1186 ^ _234575 : [(1197 ^ _234575) ^ [] : [1198 ^ _234575 : [(1199 ^ _234575) ^ [] : [_277272 = _277427], (1201 ^ _234575) ^ [] : [memberP(_277578, _277272)]], -(memberP(cons(_277427, _277578), _277272))], (1187 ^ _234575) ^ [] : [memberP(cons(_277427, _277578), _277272), -(_277272 = _277427), -(memberP(_277578, _277272))]]]]]]], (1205 ^ _234575) ^ [_278225] : [ssItem(_278225), memberP(nil, _278225)], (1211 ^ _234575) ^ [] : [singletonP(nil)], (1213 ^ _234575) ^ [_278466] : [ssList(_278466), 1216 ^ _234575 : [(1217 ^ _234575) ^ [_278618] : [ssList(_278618), 1220 ^ _234575 : [(1221 ^ _234575) ^ [_278766] : [ssList(_278766), -(frontsegP(_278466, _278766)), frontsegP(_278466, _278618), frontsegP(_278618, _278766)]]]]], (1235 ^ _234575) ^ [_279166] : [ssList(_279166), 1238 ^ _234575 : [(1239 ^ _234575) ^ [_279308] : [ssList(_279308), -(_279166 = _279308), frontsegP(_279166, _279308), frontsegP(_279308, _279166)]]], (1253 ^ _234575) ^ [_279687] : [ssList(_279687), -(frontsegP(_279687, _279687))], (1259 ^ _234575) ^ [_279875] : [ssList(_279875), 1262 ^ _234575 : [(1263 ^ _234575) ^ [_280024] : [ssList(_280024), 1266 ^ _234575 : [(1267 ^ _234575) ^ [_280169] : [ssList(_280169), frontsegP(_279875, _280024), -(frontsegP(app(_279875, _280169), _280024))]]]]], (1277 ^ _234575) ^ [_280482] : [ssItem(_280482), 1280 ^ _234575 : [(1281 ^ _234575) ^ [_280650] : [ssItem(_280650), 1284 ^ _234575 : [(1285 ^ _234575) ^ [_280814] : [ssList(_280814), 1288 ^ _234575 : [(1289 ^ _234575) ^ [_280974] : [ssList(_280974), 1292 ^ _234575 : [(1293 ^ _234575) ^ [] : [frontsegP(cons(_280482, _280814), cons(_280650, _280974)), 1296 ^ _234575 : [(1297 ^ _234575) ^ [] : [-(_280482 = _280650)], (1299 ^ _234575) ^ [] : [-(frontsegP(_280814, _280974))]]], (1301 ^ _234575) ^ [] : [-(frontsegP(cons(_280482, _280814), cons(_280650, _280974))), _280482 = _280650, frontsegP(_280814, _280974)]]]]]]]]], (1311 ^ _234575) ^ [_281659] : [ssList(_281659), -(frontsegP(_281659, nil))], (1317 ^ _234575) ^ [_281847] : [ssList(_281847), 1320 ^ _234575 : [(1321 ^ _234575) ^ [] : [frontsegP(nil, _281847), -(nil = _281847)], (1327 ^ _234575) ^ [] : [nil = _281847, -(frontsegP(nil, _281847))]]], (1333 ^ _234575) ^ [_282275] : [ssList(_282275), 1336 ^ _234575 : [(1337 ^ _234575) ^ [_282427] : [ssList(_282427), 1340 ^ _234575 : [(1341 ^ _234575) ^ [_282575] : [ssList(_282575), -(rearsegP(_282275, _282575)), rearsegP(_282275, _282427), rearsegP(_282427, _282575)]]]]], (1355 ^ _234575) ^ [_282975] : [ssList(_282975), 1358 ^ _234575 : [(1359 ^ _234575) ^ [_283117] : [ssList(_283117), -(_282975 = _283117), rearsegP(_282975, _283117), rearsegP(_283117, _282975)]]], (1373 ^ _234575) ^ [_283496] : [ssList(_283496), -(rearsegP(_283496, _283496))], (1379 ^ _234575) ^ [_283684] : [ssList(_283684), 1382 ^ _234575 : [(1383 ^ _234575) ^ [_283833] : [ssList(_283833), 1386 ^ _234575 : [(1387 ^ _234575) ^ [_283978] : [ssList(_283978), rearsegP(_283684, _283833), -(rearsegP(app(_283978, _283684), _283833))]]]]], (1397 ^ _234575) ^ [_284291] : [ssList(_284291), -(rearsegP(_284291, nil))], (1403 ^ _234575) ^ [_284479] : [ssList(_284479), 1406 ^ _234575 : [(1407 ^ _234575) ^ [] : [rearsegP(nil, _284479), -(nil = _284479)], (1413 ^ _234575) ^ [] : [nil = _284479, -(rearsegP(nil, _284479))]]], (1419 ^ _234575) ^ [_284907] : [ssList(_284907), 1422 ^ _234575 : [(1423 ^ _234575) ^ [_285059] : [ssList(_285059), 1426 ^ _234575 : [(1427 ^ _234575) ^ [_285207] : [ssList(_285207), -(segmentP(_284907, _285207)), segmentP(_284907, _285059), segmentP(_285059, _285207)]]]]], (1441 ^ _234575) ^ [_285607] : [ssList(_285607), 1444 ^ _234575 : [(1445 ^ _234575) ^ [_285749] : [ssList(_285749), -(_285607 = _285749), segmentP(_285607, _285749), segmentP(_285749, _285607)]]], (1459 ^ _234575) ^ [_286128] : [ssList(_286128), -(segmentP(_286128, _286128))], (1465 ^ _234575) ^ [_286316] : [ssList(_286316), 1468 ^ _234575 : [(1469 ^ _234575) ^ [_286478] : [ssList(_286478), 1472 ^ _234575 : [(1473 ^ _234575) ^ [_286636] : [ssList(_286636), 1476 ^ _234575 : [(1477 ^ _234575) ^ [_286790] : [ssList(_286790), segmentP(_286316, _286478), -(segmentP(app(app(_286636, _286316), _286790), _286478))]]]]]]], (1487 ^ _234575) ^ [_287126] : [ssList(_287126), -(segmentP(_287126, nil))], (1493 ^ _234575) ^ [_287314] : [ssList(_287314), 1496 ^ _234575 : [(1497 ^ _234575) ^ [] : [segmentP(nil, _287314), -(nil = _287314)], (1503 ^ _234575) ^ [] : [nil = _287314, -(segmentP(nil, _287314))]]], (1509 ^ _234575) ^ [_287742] : [ssItem(_287742), -(cyclefreeP(cons(_287742, nil)))], (1515 ^ _234575) ^ [] : [-(cyclefreeP(nil))], (1517 ^ _234575) ^ [_287987] : [ssItem(_287987), -(totalorderP(cons(_287987, nil)))], (1523 ^ _234575) ^ [] : [-(totalorderP(nil))], (1525 ^ _234575) ^ [_288232] : [ssItem(_288232), -(strictorderP(cons(_288232, nil)))], (1531 ^ _234575) ^ [] : [-(strictorderP(nil))], (1533 ^ _234575) ^ [_288477] : [ssItem(_288477), -(totalorderedP(cons(_288477, nil)))], (1539 ^ _234575) ^ [] : [-(totalorderedP(nil))], (1541 ^ _234575) ^ [_288722] : [ssItem(_288722), 1544 ^ _234575 : [(1545 ^ _234575) ^ [_288881] : [ssList(_288881), 1548 ^ _234575 : [(1549 ^ _234575) ^ [] : [totalorderedP(cons(_288722, _288881)), -(nil = _288881), 1556 ^ _234575 : [(1557 ^ _234575) ^ [] : [nil = _288881], (1559 ^ _234575) ^ [] : [-(totalorderedP(_288881))], (1561 ^ _234575) ^ [] : [-(leq(_288722, hd(_288881)))]]], (1563 ^ _234575) ^ [] : [-(totalorderedP(cons(_288722, _288881))), 1564 ^ _234575 : [(1565 ^ _234575) ^ [] : [nil = _288881], (1567 ^ _234575) ^ [] : [-(nil = _288881), totalorderedP(_288881), leq(_288722, hd(_288881))]]]]]]], (1579 ^ _234575) ^ [_289816] : [ssItem(_289816), -(strictorderedP(cons(_289816, nil)))], (1585 ^ _234575) ^ [] : [-(strictorderedP(nil))], (1587 ^ _234575) ^ [_290061] : [ssItem(_290061), 1590 ^ _234575 : [(1591 ^ _234575) ^ [_290220] : [ssList(_290220), 1594 ^ _234575 : [(1595 ^ _234575) ^ [] : [strictorderedP(cons(_290061, _290220)), -(nil = _290220), 1602 ^ _234575 : [(1603 ^ _234575) ^ [] : [nil = _290220], (1605 ^ _234575) ^ [] : [-(strictorderedP(_290220))], (1607 ^ _234575) ^ [] : [-(lt(_290061, hd(_290220)))]]], (1609 ^ _234575) ^ [] : [-(strictorderedP(cons(_290061, _290220))), 1610 ^ _234575 : [(1611 ^ _234575) ^ [] : [nil = _290220], (1613 ^ _234575) ^ [] : [-(nil = _290220), strictorderedP(_290220), lt(_290061, hd(_290220))]]]]]]], (1625 ^ _234575) ^ [_291155] : [ssItem(_291155), -(duplicatefreeP(cons(_291155, nil)))], (1631 ^ _234575) ^ [] : [-(duplicatefreeP(nil))], (1633 ^ _234575) ^ [_291400] : [ssItem(_291400), -(equalelemsP(cons(_291400, nil)))], (1639 ^ _234575) ^ [] : [-(equalelemsP(nil))], (1641 ^ _234575) ^ [_291645] : [ssList(_291645), -(nil = _291645), 1649 ^ _234575 : [(1650 ^ _234575) ^ [] : [-(ssItem(1648 ^ [_291645]))], (1652 ^ _234575) ^ [] : [-(hd(_291645) = 1648 ^ [_291645])]]], (1654 ^ _234575) ^ [_292059] : [ssList(_292059), -(nil = _292059), 1662 ^ _234575 : [(1663 ^ _234575) ^ [] : [-(ssList(1661 ^ [_292059]))], (1665 ^ _234575) ^ [] : [-(tl(_292059) = 1661 ^ [_292059])]]], (1667 ^ _234575) ^ [_292473] : [ssList(_292473), 1670 ^ _234575 : [(1671 ^ _234575) ^ [_292639] : [ssList(_292639), -(_292639 = _292473), -(nil = _292639), -(nil = _292473), hd(_292639) = hd(_292473), tl(_292639) = tl(_292473)]]], (1693 ^ _234575) ^ [_293218] : [ssList(_293218), -(nil = _293218), -(cons(hd(_293218), tl(_293218)) = _293218)], (1703 ^ _234575) ^ [_293508] : [ssList(_293508), 1706 ^ _234575 : [(1707 ^ _234575) ^ [_293660] : [ssList(_293660), 1710 ^ _234575 : [(1711 ^ _234575) ^ [_293808] : [ssList(_293808), app(_293808, _293660) = app(_293508, _293660), -(_293808 = _293508)]]]]], (1721 ^ _234575) ^ [_294127] : [ssList(_294127), 1724 ^ _234575 : [(1725 ^ _234575) ^ [_294279] : [ssList(_294279), 1728 ^ _234575 : [(1729 ^ _234575) ^ [_294427] : [ssList(_294427), app(_294279, _294427) = app(_294279, _294127), -(_294427 = _294127)]]]]], (1739 ^ _234575) ^ [_294746] : [ssList(_294746), 1742 ^ _234575 : [(1743 ^ _234575) ^ [_294885] : [ssItem(_294885), -(cons(_294885, _294746) = app(cons(_294885, nil), _294746))]]], (1749 ^ _234575) ^ [_295104] : [ssList(_295104), 1752 ^ _234575 : [(1753 ^ _234575) ^ [_295256] : [ssList(_295256), 1756 ^ _234575 : [(1757 ^ _234575) ^ [_295404] : [ssList(_295404), -(app(app(_295104, _295256), _295404) = app(_295104, app(_295256, _295404)))]]]]], (1763 ^ _234575) ^ [_295642] : [ssList(_295642), 1766 ^ _234575 : [(1767 ^ _234575) ^ [_295787] : [ssList(_295787), 1770 ^ _234575 : [(1771 ^ _234575) ^ [] : [nil = app(_295642, _295787), 1774 ^ _234575 : [(1775 ^ _234575) ^ [] : [-(nil = _295787)], (1777 ^ _234575) ^ [] : [-(nil = _295642)]]], (1779 ^ _234575) ^ [] : [-(nil = app(_295642, _295787)), nil = _295787, nil = _295642]]]]], (1789 ^ _234575) ^ [_296405] : [ssList(_296405), -(app(_296405, nil) = _296405)], (1795 ^ _234575) ^ [_296599] : [ssList(_296599), 1798 ^ _234575 : [(1799 ^ _234575) ^ [_296744] : [ssList(_296744), -(nil = _296599), -(hd(app(_296599, _296744)) = hd(_296599))]]], (1809 ^ _234575) ^ [_297051] : [ssList(_297051), 1812 ^ _234575 : [(1813 ^ _234575) ^ [_297199] : [ssList(_297199), -(nil = _297051), -(tl(app(_297051, _297199)) = app(tl(_297051), _297199))]]], (1823 ^ _234575) ^ [_297512] : [ssItem(_297512), 1826 ^ _234575 : [(1827 ^ _234575) ^ [_297654] : [ssItem(_297654), -(_297512 = _297654), geq(_297512, _297654), geq(_297654, _297512)]]], (1841 ^ _234575) ^ [_298033] : [ssItem(_298033), 1844 ^ _234575 : [(1845 ^ _234575) ^ [_298185] : [ssItem(_298185), 1848 ^ _234575 : [(1849 ^ _234575) ^ [_298333] : [ssItem(_298333), -(geq(_298033, _298333)), geq(_298033, _298185), geq(_298185, _298333)]]]]], (1863 ^ _234575) ^ [_298733] : [ssItem(_298733), -(geq(_298733, _298733))], (1869 ^ _234575) ^ [_298921] : [ssItem(_298921), lt(_298921, _298921)], (1875 ^ _234575) ^ [_299110] : [ssItem(_299110), 1878 ^ _234575 : [(1879 ^ _234575) ^ [_299262] : [ssItem(_299262), 1882 ^ _234575 : [(1883 ^ _234575) ^ [_299410] : [ssItem(_299410), -(lt(_299110, _299410)), leq(_299110, _299262), lt(_299262, _299410)]]]]], (1897 ^ _234575) ^ [_299810] : [ssItem(_299810), 1900 ^ _234575 : [(1901 ^ _234575) ^ [_299952] : [ssItem(_299952), leq(_299810, _299952), -(_299810 = _299952), -(lt(_299810, _299952))]]], (1915 ^ _234575) ^ [_300332] : [ssItem(_300332), 1918 ^ _234575 : [(1919 ^ _234575) ^ [_300476] : [ssItem(_300476), 1922 ^ _234575 : [(1923 ^ _234575) ^ [] : [lt(_300332, _300476), 1926 ^ _234575 : [(1927 ^ _234575) ^ [] : [_300332 = _300476], (1929 ^ _234575) ^ [] : [-(leq(_300332, _300476))]]], (1931 ^ _234575) ^ [] : [-(lt(_300332, _300476)), -(_300332 = _300476), leq(_300332, _300476)]]]]], (1941 ^ _234575) ^ [_301087] : [ssItem(_301087), 1944 ^ _234575 : [(1945 ^ _234575) ^ [_301225] : [ssItem(_301225), gt(_301087, _301225), gt(_301225, _301087)]]], (1955 ^ _234575) ^ [_301496] : [ssItem(_301496), 1958 ^ _234575 : [(1959 ^ _234575) ^ [_301648] : [ssItem(_301648), 1962 ^ _234575 : [(1963 ^ _234575) ^ [_301796] : [ssItem(_301796), -(gt(_301496, _301796)), gt(_301496, _301648), gt(_301648, _301796)]]]]]], input).
% 0.72/1.37  ncf('1',plain,[2007 : singletonP(1976 ^ []), 2011 : neq(1985 ^ [], nil)],start(1993 ^ 0)).
% 0.72/1.37  ncf('1.1',plain,[-(singletonP(1976 ^ [])), 355 : ssItem(1996 ^ []), 355 : cons(1996 ^ [], nil) = 1976 ^ [], 353 : ssList(1976 ^ [])],extension(340 ^ 3,bind([[_245589, _246038], [1976 ^ [], 1996 ^ []]]))).
% 0.72/1.37  ncf('1.1.1',plain,[-(ssItem(1996 ^ []))],extension(1998 ^ 8)).
% 0.72/1.37  ncf('1.1.2',plain,[-(cons(1996 ^ [], nil) = 1976 ^ []), cons(1996 ^ [], nil) = 1982 ^ [], 1982 ^ [] = 1976 ^ []],extension(10 ^ 8,bind([[_235030, _235032, _235034], [1976 ^ [], 1982 ^ [], cons(1996 ^ [], nil)]]))).
% 0.72/1.37  ncf('1.1.2.1',plain,[-(cons(1996 ^ [], nil) = 1982 ^ [])],extension(2003 ^ 9)).
% 0.72/1.37  ncf('1.1.2.2',plain,[-(1982 ^ [] = 1976 ^ []), 1976 ^ [] = 1982 ^ []],extension(4 ^ 9,bind([[_234826, _234828], [1982 ^ [], 1976 ^ []]]))).
% 0.72/1.37  ncf('1.1.2.2.1',plain,[-(1976 ^ [] = 1982 ^ [])],extension(1991 ^ 10)).
% 0.72/1.37  ncf('1.1.3',plain,[-(ssList(1976 ^ []))],extension(1978 ^ 4)).
% 0.72/1.37  ncf('1.2',plain,[-(neq(1985 ^ [], nil)), neq(1979 ^ [], nil), 1979 ^ [] = 1985 ^ [], nil = nil],extension(232 ^ 3,bind([[_241853, _241855, _241857, _241859], [nil, nil, 1985 ^ [], 1979 ^ []]]))).
% 0.72/1.37  ncf('1.2.1',plain,[-(neq(1979 ^ [], nil))],extension(2009 ^ 4)).
% 0.72/1.37  ncf('1.2.2',plain,[-(1979 ^ [] = 1985 ^ [])],extension(1989 ^ 4)).
% 0.72/1.37  ncf('1.2.3',plain,[-(nil = nil)],extension(2 ^ 4,bind([[_234719], [nil]]))).
% 0.72/1.37  %-----------------------------------------------------
% 0.72/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------