%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWC359+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n008.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 12:13:20 EDT 2023

% Result   : Theorem 0.37s 1.37s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SWC359+1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n008.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 01:28:09 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.37/1.37  
% 0.37/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.37/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/1.37  %-----------------------------------------------------
% 0.37/1.37  ncf(matrix, plain, [(1978 ^ _232165) ^ [] : [-(ssList(1976 ^ []))], (1981 ^ _232165) ^ [] : [-(ssList(1979 ^ []))], (1984 ^ _232165) ^ [] : [-(ssList(1982 ^ []))], (1987 ^ _232165) ^ [] : [-(ssList(1985 ^ []))], (1989 ^ _232165) ^ [] : [-(1979 ^ [] = 1985 ^ [])], (1991 ^ _232165) ^ [] : [-(1976 ^ [] = 1982 ^ [])], (1993 ^ _232165) ^ [] : [-(neq(1979 ^ [], nil))], (1995 ^ _232165) ^ [] : [-(segmentP(1985 ^ [], 1982 ^ []))], (1997 ^ _232165) ^ [] : [-(equalelemsP(1982 ^ []))], (2017 ^ _232165) ^ [] : [segmentP(1979 ^ [], 1976 ^ [])], (1999 ^ _232165) ^ [_301429] : [ssList(_301429), neq(1982 ^ [], _301429), segmentP(1985 ^ [], _301429), segmentP(_301429, 1982 ^ []), equalelemsP(_301429)], (246 ^ _232165) ^ [_239969, _239971, _239973, _239975] : [-(cons(_239975, _239971) = cons(_239973, _239969)), _239975 = _239973, _239971 = _239969], (256 ^ _232165) ^ [_240300, _240302] : [_240302 = _240300, -(hd(_240302) = hd(_240300))], (272 ^ _232165) ^ [_240857, _240859] : [_240859 = _240857, -(tl(_240859) = tl(_240857))], (262 ^ _232165) ^ [_240546, _240548, _240550, _240552] : [-(app(_240552, _240548) = app(_240550, _240546)), _240552 = _240550, _240548 = _240546], (2 ^ _232165) ^ [_232309] : [-(_232309 = _232309)], (4 ^ _232165) ^ [_232416, _232418] : [_232418 = _232416, -(_232416 = _232418)], (10 ^ _232165) ^ [_232620, _232622, _232624] : [-(_232624 = _232620), _232624 = _232622, _232622 = _232620], (20 ^ _232165) ^ [_232961, _232963, _232965, _232967] : [-(memberP(_232965, _232961)), memberP(_232967, _232963), _232967 = _232965, _232963 = _232961], (34 ^ _232165) ^ [_233377, _233379] : [-(singletonP(_233377)), _233379 = _233377, singletonP(_233379)], (44 ^ _232165) ^ [_233700, _233702, _233704, _233706] : [-(frontsegP(_233704, _233700)), frontsegP(_233706, _233702), _233706 = _233704, _233702 = _233700], (58 ^ _232165) ^ [_234144, _234146, _234148, _234150] : [-(rearsegP(_234148, _234144)), rearsegP(_234150, _234146), _234150 = _234148, _234146 = _234144], (72 ^ _232165) ^ [_234560, _234562] : [-(cyclefreeP(_234560)), _234562 = _234560, cyclefreeP(_234562)], (82 ^ _232165) ^ [_234855, _234857] : [-(totalorderP(_234855)), _234857 = _234855, totalorderP(_234857)], (92 ^ _232165) ^ [_235150, _235152] : [-(strictorderP(_235150)), _235152 = _235150, strictorderP(_235152)], (102 ^ _232165) ^ [_235445, _235447] : [-(totalorderedP(_235445)), _235447 = _235445, totalorderedP(_235447)], (112 ^ _232165) ^ [_235740, _235742] : [-(strictorderedP(_235740)), _235742 = _235740, strictorderedP(_235742)], (122 ^ _232165) ^ [_236035, _236037] : [-(duplicatefreeP(_236035)), _236037 = _236035, duplicatefreeP(_236037)], (132 ^ _232165) ^ [_236358, _236360, _236362, _236364] : [-(geq(_236362, _236358)), geq(_236364, _236360), _236364 = _236362, _236360 = _236358], (146 ^ _232165) ^ [_236802, _236804, _236806, _236808] : [-(lt(_236806, _236802)), lt(_236808, _236804), _236808 = _236806, _236804 = _236802], (160 ^ _232165) ^ [_237246, _237248, _237250, _237252] : [-(leq(_237250, _237246)), leq(_237252, _237248), _237252 = _237250, _237248 = _237246], (174 ^ _232165) ^ [_237662, _237664] : [-(ssItem(_237662)), _237664 = _237662, ssItem(_237664)], (184 ^ _232165) ^ [_237985, _237987, _237989, _237991] : [-(gt(_237989, _237985)), gt(_237991, _237987), _237991 = _237989, _237987 = _237985], (198 ^ _232165) ^ [_238401, _238403] : [-(ssList(_238401)), _238403 = _238401, ssList(_238403)], (208 ^ _232165) ^ [_238724, _238726, _238728, _238730] : [-(neq(_238728, _238724)), neq(_238730, _238726), _238730 = _238728, _238726 = _238724], (222 ^ _232165) ^ [_239140, _239142] : [-(equalelemsP(_239140)), _239142 = _239140, equalelemsP(_239142)], (232 ^ _232165) ^ [_239443, _239445, _239447, _239449] : [-(segmentP(_239447, _239443)), segmentP(_239449, _239445), _239449 = _239447, _239445 = _239443], (278 ^ _232165) ^ [_241079] : [ssItem(_241079), 281 ^ _232165 : [(282 ^ _232165) ^ [_241217] : [ssItem(_241217), 285 ^ _232165 : [(286 ^ _232165) ^ [] : [neq(_241079, _241217), _241079 = _241217], (292 ^ _232165) ^ [] : [-(_241079 = _241217), -(neq(_241079, _241217))]]]]], (299 ^ _232165) ^ [] : [-(ssItem(297 ^ []))], (302 ^ _232165) ^ [] : [-(ssItem(300 ^ []))], (304 ^ _232165) ^ [] : [297 ^ [] = 300 ^ []], (306 ^ _232165) ^ [_241930] : [ssList(_241930), 309 ^ _232165 : [(310 ^ _232165) ^ [_242092] : [ssItem(_242092), 313 ^ _232165 : [(314 ^ _232165) ^ [] : [memberP(_241930, _242092), 318 ^ _232165 : [(319 ^ _232165) ^ [] : [-(ssList(317 ^ [_241930, _242092]))], (322 ^ _232165) ^ [] : [-(ssList(320 ^ [_241930, _242092]))], (324 ^ _232165) ^ [] : [-(app(317 ^ [_241930, _242092], cons(_242092, 320 ^ [_241930, _242092])) = _241930)]]], (326 ^ _232165) ^ [] : [-(memberP(_241930, _242092)), 327 ^ _232165 : [(328 ^ _232165) ^ [_242740] : [ssList(_242740), 331 ^ _232165 : [(332 ^ _232165) ^ [_242888] : [ssList(_242888), app(_242740, cons(_242092, _242888)) = _241930]]]]]]]]], (340 ^ _232165) ^ [_243179] : [ssList(_243179), 343 ^ _232165 : [(344 ^ _232165) ^ [] : [singletonP(_243179), 348 ^ _232165 : [(349 ^ _232165) ^ [] : [-(ssItem(347 ^ [_243179]))], (351 ^ _232165) ^ [] : [-(cons(347 ^ [_243179], nil) = _243179)]]], (353 ^ _232165) ^ [] : [-(singletonP(_243179)), 354 ^ _232165 : [(355 ^ _232165) ^ [_243628] : [ssItem(_243628), cons(_243628, nil) = _243179]]]]], (363 ^ _232165) ^ [_243884] : [ssList(_243884), 366 ^ _232165 : [(367 ^ _232165) ^ [_244033] : [ssList(_244033), 370 ^ _232165 : [(371 ^ _232165) ^ [] : [frontsegP(_243884, _244033), 375 ^ _232165 : [(376 ^ _232165) ^ [] : [-(ssList(374 ^ [_243884, _244033]))], (378 ^ _232165) ^ [] : [-(app(_244033, 374 ^ [_243884, _244033]) = _243884)]]], (380 ^ _232165) ^ [] : [-(frontsegP(_243884, _244033)), 381 ^ _232165 : [(382 ^ _232165) ^ [_244508] : [ssList(_244508), app(_244033, _244508) = _243884]]]]]]], (390 ^ _232165) ^ [_244780] : [ssList(_244780), 393 ^ _232165 : [(394 ^ _232165) ^ [_244929] : [ssList(_244929), 397 ^ _232165 : [(398 ^ _232165) ^ [] : [rearsegP(_244780, _244929), 402 ^ _232165 : [(403 ^ _232165) ^ [] : [-(ssList(401 ^ [_244780, _244929]))], (405 ^ _232165) ^ [] : [-(app(401 ^ [_244780, _244929], _244929) = _244780)]]], (407 ^ _232165) ^ [] : [-(rearsegP(_244780, _244929)), 408 ^ _232165 : [(409 ^ _232165) ^ [_245404] : [ssList(_245404), app(_245404, _244929) = _244780]]]]]]], (417 ^ _232165) ^ [_245676] : [ssList(_245676), 420 ^ _232165 : [(421 ^ _232165) ^ [_245838] : [ssList(_245838), 424 ^ _232165 : [(425 ^ _232165) ^ [] : [segmentP(_245676, _245838), 429 ^ _232165 : [(430 ^ _232165) ^ [] : [-(ssList(428 ^ [_245676, _245838]))], (433 ^ _232165) ^ [] : [-(ssList(431 ^ [_245676, _245838]))], (435 ^ _232165) ^ [] : [-(app(app(428 ^ [_245676, _245838], _245838), 431 ^ [_245676, _245838]) = _245676)]]], (437 ^ _232165) ^ [] : [-(segmentP(_245676, _245838)), 438 ^ _232165 : [(439 ^ _232165) ^ [_246486] : [ssList(_246486), 442 ^ _232165 : [(443 ^ _232165) ^ [_246634] : [ssList(_246634), app(app(_246486, _245838), _246634) = _245676]]]]]]]]], (451 ^ _232165) ^ [_246925] : [ssList(_246925), 454 ^ _232165 : [(489 ^ _232165) ^ [] : [491 ^ _232165 : [(492 ^ _232165) ^ [] : [-(ssItem(490 ^ [_246925]))], (495 ^ _232165) ^ [] : [-(ssItem(493 ^ [_246925]))], (498 ^ _232165) ^ [] : [-(ssList(496 ^ [_246925]))], (501 ^ _232165) ^ [] : [-(ssList(499 ^ [_246925]))], (504 ^ _232165) ^ [] : [-(ssList(502 ^ [_246925]))], (506 ^ _232165) ^ [] : [-(app(app(496 ^ [_246925], cons(490 ^ [_246925], 499 ^ [_246925])), cons(493 ^ [_246925], 502 ^ [_246925])) = _246925)], (508 ^ _232165) ^ [] : [-(leq(490 ^ [_246925], 493 ^ [_246925]))], (510 ^ _232165) ^ [] : [-(leq(493 ^ [_246925], 490 ^ [_246925]))]], -(cyclefreeP(_246925))], (455 ^ _232165) ^ [] : [cyclefreeP(_246925), 458 ^ _232165 : [(459 ^ _232165) ^ [_247229] : [ssItem(_247229), 462 ^ _232165 : [(463 ^ _232165) ^ [_247421] : [ssItem(_247421), 466 ^ _232165 : [(467 ^ _232165) ^ [_247609] : [ssList(_247609), 470 ^ _232165 : [(471 ^ _232165) ^ [_247793] : [ssList(_247793), 474 ^ _232165 : [(475 ^ _232165) ^ [_247973] : [ssList(_247973), app(app(_247609, cons(_247229, _247793)), cons(_247421, _247973)) = _246925, leq(_247229, _247421), leq(_247421, _247229)]]]]]]]]]]]]], (514 ^ _232165) ^ [_249711] : [ssList(_249711), 517 ^ _232165 : [(552 ^ _232165) ^ [] : [554 ^ _232165 : [(555 ^ _232165) ^ [] : [-(ssItem(553 ^ [_249711]))], (558 ^ _232165) ^ [] : [-(ssItem(556 ^ [_249711]))], (561 ^ _232165) ^ [] : [-(ssList(559 ^ [_249711]))], (564 ^ _232165) ^ [] : [-(ssList(562 ^ [_249711]))], (567 ^ _232165) ^ [] : [-(ssList(565 ^ [_249711]))], (569 ^ _232165) ^ [] : [-(app(app(559 ^ [_249711], cons(553 ^ [_249711], 562 ^ [_249711])), cons(556 ^ [_249711], 565 ^ [_249711])) = _249711)], (571 ^ _232165) ^ [] : [leq(553 ^ [_249711], 556 ^ [_249711])], (573 ^ _232165) ^ [] : [leq(556 ^ [_249711], 553 ^ [_249711])]], -(totalorderP(_249711))], (518 ^ _232165) ^ [] : [totalorderP(_249711), 521 ^ _232165 : [(522 ^ _232165) ^ [_250013] : [ssItem(_250013), 525 ^ _232165 : [(526 ^ _232165) ^ [_250203] : [ssItem(_250203), 529 ^ _232165 : [(530 ^ _232165) ^ [_250389] : [ssList(_250389), 533 ^ _232165 : [(534 ^ _232165) ^ [_250571] : [ssList(_250571), 537 ^ _232165 : [(538 ^ _232165) ^ [_250749] : [ssList(_250749), app(app(_250389, cons(_250013, _250571)), cons(_250203, _250749)) = _249711, -(leq(_250013, _250203)), -(leq(_250203, _250013))]]]]]]]]]]]]], (577 ^ _232165) ^ [_252475] : [ssList(_252475), 580 ^ _232165 : [(615 ^ _232165) ^ [] : [617 ^ _232165 : [(618 ^ _232165) ^ [] : [-(ssItem(616 ^ [_252475]))], (621 ^ _232165) ^ [] : [-(ssItem(619 ^ [_252475]))], (624 ^ _232165) ^ [] : [-(ssList(622 ^ [_252475]))], (627 ^ _232165) ^ [] : [-(ssList(625 ^ [_252475]))], (630 ^ _232165) ^ [] : [-(ssList(628 ^ [_252475]))], (632 ^ _232165) ^ [] : [-(app(app(622 ^ [_252475], cons(616 ^ [_252475], 625 ^ [_252475])), cons(619 ^ [_252475], 628 ^ [_252475])) = _252475)], (634 ^ _232165) ^ [] : [lt(616 ^ [_252475], 619 ^ [_252475])], (636 ^ _232165) ^ [] : [lt(619 ^ [_252475], 616 ^ [_252475])]], -(strictorderP(_252475))], (581 ^ _232165) ^ [] : [strictorderP(_252475), 584 ^ _232165 : [(585 ^ _232165) ^ [_252777] : [ssItem(_252777), 588 ^ _232165 : [(589 ^ _232165) ^ [_252967] : [ssItem(_252967), 592 ^ _232165 : [(593 ^ _232165) ^ [_253153] : [ssList(_253153), 596 ^ _232165 : [(597 ^ _232165) ^ [_253335] : [ssList(_253335), 600 ^ _232165 : [(601 ^ _232165) ^ [_253513] : [ssList(_253513), app(app(_253153, cons(_252777, _253335)), cons(_252967, _253513)) = _252475, -(lt(_252777, _252967)), -(lt(_252967, _252777))]]]]]]]]]]]]], (640 ^ _232165) ^ [_255239] : [ssList(_255239), 643 ^ _232165 : [(674 ^ _232165) ^ [] : [676 ^ _232165 : [(677 ^ _232165) ^ [] : [-(ssItem(675 ^ [_255239]))], (680 ^ _232165) ^ [] : [-(ssItem(678 ^ [_255239]))], (683 ^ _232165) ^ [] : [-(ssList(681 ^ [_255239]))], (686 ^ _232165) ^ [] : [-(ssList(684 ^ [_255239]))], (689 ^ _232165) ^ [] : [-(ssList(687 ^ [_255239]))], (691 ^ _232165) ^ [] : [-(app(app(681 ^ [_255239], cons(675 ^ [_255239], 684 ^ [_255239])), cons(678 ^ [_255239], 687 ^ [_255239])) = _255239)], (693 ^ _232165) ^ [] : [leq(675 ^ [_255239], 678 ^ [_255239])]], -(totalorderedP(_255239))], (644 ^ _232165) ^ [] : [totalorderedP(_255239), 647 ^ _232165 : [(648 ^ _232165) ^ [_255535] : [ssItem(_255535), 651 ^ _232165 : [(652 ^ _232165) ^ [_255719] : [ssItem(_255719), 655 ^ _232165 : [(656 ^ _232165) ^ [_255899] : [ssList(_255899), 659 ^ _232165 : [(660 ^ _232165) ^ [_256075] : [ssList(_256075), 663 ^ _232165 : [(664 ^ _232165) ^ [_256247] : [ssList(_256247), app(app(_255899, cons(_255535, _256075)), cons(_255719, _256247)) = _255239, -(leq(_255535, _255719))]]]]]]]]]]]]], (697 ^ _232165) ^ [_257727] : [ssList(_257727), 700 ^ _232165 : [(731 ^ _232165) ^ [] : [733 ^ _232165 : [(734 ^ _232165) ^ [] : [-(ssItem(732 ^ [_257727]))], (737 ^ _232165) ^ [] : [-(ssItem(735 ^ [_257727]))], (740 ^ _232165) ^ [] : [-(ssList(738 ^ [_257727]))], (743 ^ _232165) ^ [] : [-(ssList(741 ^ [_257727]))], (746 ^ _232165) ^ [] : [-(ssList(744 ^ [_257727]))], (748 ^ _232165) ^ [] : [-(app(app(738 ^ [_257727], cons(732 ^ [_257727], 741 ^ [_257727])), cons(735 ^ [_257727], 744 ^ [_257727])) = _257727)], (750 ^ _232165) ^ [] : [lt(732 ^ [_257727], 735 ^ [_257727])]], -(strictorderedP(_257727))], (701 ^ _232165) ^ [] : [strictorderedP(_257727), 704 ^ _232165 : [(705 ^ _232165) ^ [_258023] : [ssItem(_258023), 708 ^ _232165 : [(709 ^ _232165) ^ [_258207] : [ssItem(_258207), 712 ^ _232165 : [(713 ^ _232165) ^ [_258387] : [ssList(_258387), 716 ^ _232165 : [(717 ^ _232165) ^ [_258563] : [ssList(_258563), 720 ^ _232165 : [(721 ^ _232165) ^ [_258735] : [ssList(_258735), app(app(_258387, cons(_258023, _258563)), cons(_258207, _258735)) = _257727, -(lt(_258023, _258207))]]]]]]]]]]]]], (754 ^ _232165) ^ [_260215] : [ssList(_260215), 757 ^ _232165 : [(788 ^ _232165) ^ [] : [790 ^ _232165 : [(791 ^ _232165) ^ [] : [-(ssItem(789 ^ [_260215]))], (794 ^ _232165) ^ [] : [-(ssItem(792 ^ [_260215]))], (797 ^ _232165) ^ [] : [-(ssList(795 ^ [_260215]))], (800 ^ _232165) ^ [] : [-(ssList(798 ^ [_260215]))], (803 ^ _232165) ^ [] : [-(ssList(801 ^ [_260215]))], (805 ^ _232165) ^ [] : [-(app(app(795 ^ [_260215], cons(789 ^ [_260215], 798 ^ [_260215])), cons(792 ^ [_260215], 801 ^ [_260215])) = _260215)], (807 ^ _232165) ^ [] : [-(789 ^ [_260215] = 792 ^ [_260215])]], -(duplicatefreeP(_260215))], (758 ^ _232165) ^ [] : [duplicatefreeP(_260215), 761 ^ _232165 : [(762 ^ _232165) ^ [_260513] : [ssItem(_260513), 765 ^ _232165 : [(766 ^ _232165) ^ [_260699] : [ssItem(_260699), 769 ^ _232165 : [(770 ^ _232165) ^ [_260881] : [ssList(_260881), 773 ^ _232165 : [(774 ^ _232165) ^ [_261059] : [ssList(_261059), 777 ^ _232165 : [(778 ^ _232165) ^ [_261233] : [ssList(_261233), app(app(_260881, cons(_260513, _261059)), cons(_260699, _261233)) = _260215, _260513 = _260699]]]]]]]]]]]]], (811 ^ _232165) ^ [_262725] : [ssList(_262725), 814 ^ _232165 : [(841 ^ _232165) ^ [] : [843 ^ _232165 : [(844 ^ _232165) ^ [] : [-(ssItem(842 ^ [_262725]))], (847 ^ _232165) ^ [] : [-(ssItem(845 ^ [_262725]))], (850 ^ _232165) ^ [] : [-(ssList(848 ^ [_262725]))], (853 ^ _232165) ^ [] : [-(ssList(851 ^ [_262725]))], (855 ^ _232165) ^ [] : [-(app(848 ^ [_262725], cons(842 ^ [_262725], cons(845 ^ [_262725], 851 ^ [_262725]))) = _262725)], (857 ^ _232165) ^ [] : [842 ^ [_262725] = 845 ^ [_262725]]], -(equalelemsP(_262725))], (815 ^ _232165) ^ [] : [equalelemsP(_262725), 818 ^ _232165 : [(819 ^ _232165) ^ [_263008] : [ssItem(_263008), 822 ^ _232165 : [(823 ^ _232165) ^ [_263179] : [ssItem(_263179), 826 ^ _232165 : [(827 ^ _232165) ^ [_263346] : [ssList(_263346), 830 ^ _232165 : [(831 ^ _232165) ^ [_263509] : [ssList(_263509), app(_263346, cons(_263008, cons(_263179, _263509))) = _262725, -(_263008 = _263179)]]]]]]]]]]], (861 ^ _232165) ^ [_264742] : [ssList(_264742), 864 ^ _232165 : [(865 ^ _232165) ^ [_264880] : [ssList(_264880), 868 ^ _232165 : [(869 ^ _232165) ^ [] : [neq(_264742, _264880), _264742 = _264880], (875 ^ _232165) ^ [] : [-(_264742 = _264880), -(neq(_264742, _264880))]]]]], (881 ^ _232165) ^ [_265333] : [ssList(_265333), 884 ^ _232165 : [(885 ^ _232165) ^ [_265465] : [ssItem(_265465), -(ssList(cons(_265465, _265333)))]]], (891 ^ _232165) ^ [] : [-(ssList(nil))], (893 ^ _232165) ^ [_265723] : [ssList(_265723), 896 ^ _232165 : [(897 ^ _232165) ^ [_265858] : [ssItem(_265858), cons(_265858, _265723) = _265723]]], (903 ^ _232165) ^ [_266066] : [ssList(_266066), 906 ^ _232165 : [(907 ^ _232165) ^ [_266234] : [ssList(_266234), 910 ^ _232165 : [(911 ^ _232165) ^ [_266398] : [ssItem(_266398), 914 ^ _232165 : [(915 ^ _232165) ^ [_266558] : [ssItem(_266558), cons(_266398, _266066) = cons(_266558, _266234), 922 ^ _232165 : [(923 ^ _232165) ^ [] : [-(_266398 = _266558)], (925 ^ _232165) ^ [] : [-(_266234 = _266066)]]]]]]]]], (927 ^ _232165) ^ [_266973] : [ssList(_266973), -(nil = _266973), 935 ^ _232165 : [(936 ^ _232165) ^ [] : [-(ssList(934 ^ [_266973]))], (939 ^ _232165) ^ [] : [-(ssItem(937 ^ [_266973]))], (941 ^ _232165) ^ [] : [-(cons(937 ^ [_266973], 934 ^ [_266973]) = _266973)]]], (943 ^ _232165) ^ [_267537] : [ssList(_267537), 946 ^ _232165 : [(947 ^ _232165) ^ [_267672] : [ssItem(_267672), nil = cons(_267672, _267537)]]], (953 ^ _232165) ^ [_267880] : [ssList(_267880), -(nil = _267880), -(ssItem(hd(_267880)))], (963 ^ _232165) ^ [_268158] : [ssList(_268158), 966 ^ _232165 : [(967 ^ _232165) ^ [_268293] : [ssItem(_268293), -(hd(cons(_268293, _268158)) = _268293)]]], (973 ^ _232165) ^ [_268504] : [ssList(_268504), -(nil = _268504), -(ssList(tl(_268504)))], (983 ^ _232165) ^ [_268782] : [ssList(_268782), 986 ^ _232165 : [(987 ^ _232165) ^ [_268917] : [ssItem(_268917), -(tl(cons(_268917, _268782)) = _268782)]]], (993 ^ _232165) ^ [_269128] : [ssList(_269128), 996 ^ _232165 : [(997 ^ _232165) ^ [_269260] : [ssList(_269260), -(ssList(app(_269128, _269260)))]]], (1003 ^ _232165) ^ [_269465] : [ssList(_269465), 1006 ^ _232165 : [(1007 ^ _232165) ^ [_269617] : [ssList(_269617), 1010 ^ _232165 : [(1011 ^ _232165) ^ [_269765] : [ssItem(_269765), -(cons(_269765, app(_269617, _269465)) = app(cons(_269765, _269617), _269465))]]]]], (1017 ^ _232165) ^ [_270003] : [ssList(_270003), -(app(nil, _270003) = _270003)], (1023 ^ _232165) ^ [_270197] : [ssItem(_270197), 1026 ^ _232165 : [(1027 ^ _232165) ^ [_270339] : [ssItem(_270339), -(_270197 = _270339), leq(_270197, _270339), leq(_270339, _270197)]]], (1041 ^ _232165) ^ [_270718] : [ssItem(_270718), 1044 ^ _232165 : [(1045 ^ _232165) ^ [_270870] : [ssItem(_270870), 1048 ^ _232165 : [(1049 ^ _232165) ^ [_271018] : [ssItem(_271018), -(leq(_270718, _271018)), leq(_270718, _270870), leq(_270870, _271018)]]]]], (1063 ^ _232165) ^ [_271418] : [ssItem(_271418), -(leq(_271418, _271418))], (1069 ^ _232165) ^ [_271606] : [ssItem(_271606), 1072 ^ _232165 : [(1073 ^ _232165) ^ [_271742] : [ssItem(_271742), 1076 ^ _232165 : [(1077 ^ _232165) ^ [] : [geq(_271606, _271742), -(leq(_271742, _271606))], (1083 ^ _232165) ^ [] : [leq(_271742, _271606), -(geq(_271606, _271742))]]]]], (1089 ^ _232165) ^ [_272193] : [ssItem(_272193), 1092 ^ _232165 : [(1093 ^ _232165) ^ [_272331] : [ssItem(_272331), lt(_272193, _272331), lt(_272331, _272193)]]], (1103 ^ _232165) ^ [_272622] : [ssItem(_272622), 1106 ^ _232165 : [(1107 ^ _232165) ^ [_272774] : [ssItem(_272774), 1110 ^ _232165 : [(1111 ^ _232165) ^ [_272922] : [ssItem(_272922), -(lt(_272622, _272922)), lt(_272622, _272774), lt(_272774, _272922)]]]]], (1125 ^ _232165) ^ [_273322] : [ssItem(_273322), 1128 ^ _232165 : [(1129 ^ _232165) ^ [_273458] : [ssItem(_273458), 1132 ^ _232165 : [(1133 ^ _232165) ^ [] : [gt(_273322, _273458), -(lt(_273458, _273322))], (1139 ^ _232165) ^ [] : [lt(_273458, _273322), -(gt(_273322, _273458))]]]]], (1145 ^ _232165) ^ [_273909] : [ssItem(_273909), 1148 ^ _232165 : [(1149 ^ _232165) ^ [_274064] : [ssList(_274064), 1152 ^ _232165 : [(1153 ^ _232165) ^ [_274215] : [ssList(_274215), 1156 ^ _232165 : [(1167 ^ _232165) ^ [] : [1168 ^ _232165 : [(1169 ^ _232165) ^ [] : [memberP(_274064, _273909)], (1171 ^ _232165) ^ [] : [memberP(_274215, _273909)]], -(memberP(app(_274064, _274215), _273909))], (1157 ^ _232165) ^ [] : [memberP(app(_274064, _274215), _273909), -(memberP(_274064, _273909)), -(memberP(_274215, _273909))]]]]]]], (1175 ^ _232165) ^ [_274862] : [ssItem(_274862), 1178 ^ _232165 : [(1179 ^ _232165) ^ [_275017] : [ssItem(_275017), 1182 ^ _232165 : [(1183 ^ _232165) ^ [_275168] : [ssList(_275168), 1186 ^ _232165 : [(1197 ^ _232165) ^ [] : [1198 ^ _232165 : [(1199 ^ _232165) ^ [] : [_274862 = _275017], (1201 ^ _232165) ^ [] : [memberP(_275168, _274862)]], -(memberP(cons(_275017, _275168), _274862))], (1187 ^ _232165) ^ [] : [memberP(cons(_275017, _275168), _274862), -(_274862 = _275017), -(memberP(_275168, _274862))]]]]]]], (1205 ^ _232165) ^ [_275815] : [ssItem(_275815), memberP(nil, _275815)], (1211 ^ _232165) ^ [] : [singletonP(nil)], (1213 ^ _232165) ^ [_276056] : [ssList(_276056), 1216 ^ _232165 : [(1217 ^ _232165) ^ [_276208] : [ssList(_276208), 1220 ^ _232165 : [(1221 ^ _232165) ^ [_276356] : [ssList(_276356), -(frontsegP(_276056, _276356)), frontsegP(_276056, _276208), frontsegP(_276208, _276356)]]]]], (1235 ^ _232165) ^ [_276756] : [ssList(_276756), 1238 ^ _232165 : [(1239 ^ _232165) ^ [_276898] : [ssList(_276898), -(_276756 = _276898), frontsegP(_276756, _276898), frontsegP(_276898, _276756)]]], (1253 ^ _232165) ^ [_277277] : [ssList(_277277), -(frontsegP(_277277, _277277))], (1259 ^ _232165) ^ [_277465] : [ssList(_277465), 1262 ^ _232165 : [(1263 ^ _232165) ^ [_277614] : [ssList(_277614), 1266 ^ _232165 : [(1267 ^ _232165) ^ [_277759] : [ssList(_277759), frontsegP(_277465, _277614), -(frontsegP(app(_277465, _277759), _277614))]]]]], (1277 ^ _232165) ^ [_278072] : [ssItem(_278072), 1280 ^ _232165 : [(1281 ^ _232165) ^ [_278240] : [ssItem(_278240), 1284 ^ _232165 : [(1285 ^ _232165) ^ [_278404] : [ssList(_278404), 1288 ^ _232165 : [(1289 ^ _232165) ^ [_278564] : [ssList(_278564), 1292 ^ _232165 : [(1293 ^ _232165) ^ [] : [frontsegP(cons(_278072, _278404), cons(_278240, _278564)), 1296 ^ _232165 : [(1297 ^ _232165) ^ [] : [-(_278072 = _278240)], (1299 ^ _232165) ^ [] : [-(frontsegP(_278404, _278564))]]], (1301 ^ _232165) ^ [] : [-(frontsegP(cons(_278072, _278404), cons(_278240, _278564))), _278072 = _278240, frontsegP(_278404, _278564)]]]]]]]]], (1311 ^ _232165) ^ [_279249] : [ssList(_279249), -(frontsegP(_279249, nil))], (1317 ^ _232165) ^ [_279437] : [ssList(_279437), 1320 ^ _232165 : [(1321 ^ _232165) ^ [] : [frontsegP(nil, _279437), -(nil = _279437)], (1327 ^ _232165) ^ [] : [nil = _279437, -(frontsegP(nil, _279437))]]], (1333 ^ _232165) ^ [_279865] : [ssList(_279865), 1336 ^ _232165 : [(1337 ^ _232165) ^ [_280017] : [ssList(_280017), 1340 ^ _232165 : [(1341 ^ _232165) ^ [_280165] : [ssList(_280165), -(rearsegP(_279865, _280165)), rearsegP(_279865, _280017), rearsegP(_280017, _280165)]]]]], (1355 ^ _232165) ^ [_280565] : [ssList(_280565), 1358 ^ _232165 : [(1359 ^ _232165) ^ [_280707] : [ssList(_280707), -(_280565 = _280707), rearsegP(_280565, _280707), rearsegP(_280707, _280565)]]], (1373 ^ _232165) ^ [_281086] : [ssList(_281086), -(rearsegP(_281086, _281086))], (1379 ^ _232165) ^ [_281274] : [ssList(_281274), 1382 ^ _232165 : [(1383 ^ _232165) ^ [_281423] : [ssList(_281423), 1386 ^ _232165 : [(1387 ^ _232165) ^ [_281568] : [ssList(_281568), rearsegP(_281274, _281423), -(rearsegP(app(_281568, _281274), _281423))]]]]], (1397 ^ _232165) ^ [_281881] : [ssList(_281881), -(rearsegP(_281881, nil))], (1403 ^ _232165) ^ [_282069] : [ssList(_282069), 1406 ^ _232165 : [(1407 ^ _232165) ^ [] : [rearsegP(nil, _282069), -(nil = _282069)], (1413 ^ _232165) ^ [] : [nil = _282069, -(rearsegP(nil, _282069))]]], (1419 ^ _232165) ^ [_282497] : [ssList(_282497), 1422 ^ _232165 : [(1423 ^ _232165) ^ [_282649] : [ssList(_282649), 1426 ^ _232165 : [(1427 ^ _232165) ^ [_282797] : [ssList(_282797), -(segmentP(_282497, _282797)), segmentP(_282497, _282649), segmentP(_282649, _282797)]]]]], (1441 ^ _232165) ^ [_283197] : [ssList(_283197), 1444 ^ _232165 : [(1445 ^ _232165) ^ [_283339] : [ssList(_283339), -(_283197 = _283339), segmentP(_283197, _283339), segmentP(_283339, _283197)]]], (1459 ^ _232165) ^ [_283718] : [ssList(_283718), -(segmentP(_283718, _283718))], (1465 ^ _232165) ^ [_283906] : [ssList(_283906), 1468 ^ _232165 : [(1469 ^ _232165) ^ [_284068] : [ssList(_284068), 1472 ^ _232165 : [(1473 ^ _232165) ^ [_284226] : [ssList(_284226), 1476 ^ _232165 : [(1477 ^ _232165) ^ [_284380] : [ssList(_284380), segmentP(_283906, _284068), -(segmentP(app(app(_284226, _283906), _284380), _284068))]]]]]]], (1487 ^ _232165) ^ [_284716] : [ssList(_284716), -(segmentP(_284716, nil))], (1493 ^ _232165) ^ [_284904] : [ssList(_284904), 1496 ^ _232165 : [(1497 ^ _232165) ^ [] : [segmentP(nil, _284904), -(nil = _284904)], (1503 ^ _232165) ^ [] : [nil = _284904, -(segmentP(nil, _284904))]]], (1509 ^ _232165) ^ [_285332] : [ssItem(_285332), -(cyclefreeP(cons(_285332, nil)))], (1515 ^ _232165) ^ [] : [-(cyclefreeP(nil))], (1517 ^ _232165) ^ [_285577] : [ssItem(_285577), -(totalorderP(cons(_285577, nil)))], (1523 ^ _232165) ^ [] : [-(totalorderP(nil))], (1525 ^ _232165) ^ [_285822] : [ssItem(_285822), -(strictorderP(cons(_285822, nil)))], (1531 ^ _232165) ^ [] : [-(strictorderP(nil))], (1533 ^ _232165) ^ [_286067] : [ssItem(_286067), -(totalorderedP(cons(_286067, nil)))], (1539 ^ _232165) ^ [] : [-(totalorderedP(nil))], (1541 ^ _232165) ^ [_286312] : [ssItem(_286312), 1544 ^ _232165 : [(1545 ^ _232165) ^ [_286471] : [ssList(_286471), 1548 ^ _232165 : [(1549 ^ _232165) ^ [] : [totalorderedP(cons(_286312, _286471)), -(nil = _286471), 1556 ^ _232165 : [(1557 ^ _232165) ^ [] : [nil = _286471], (1559 ^ _232165) ^ [] : [-(totalorderedP(_286471))], (1561 ^ _232165) ^ [] : [-(leq(_286312, hd(_286471)))]]], (1563 ^ _232165) ^ [] : [-(totalorderedP(cons(_286312, _286471))), 1564 ^ _232165 : [(1565 ^ _232165) ^ [] : [nil = _286471], (1567 ^ _232165) ^ [] : [-(nil = _286471), totalorderedP(_286471), leq(_286312, hd(_286471))]]]]]]], (1579 ^ _232165) ^ [_287406] : [ssItem(_287406), -(strictorderedP(cons(_287406, nil)))], (1585 ^ _232165) ^ [] : [-(strictorderedP(nil))], (1587 ^ _232165) ^ [_287651] : [ssItem(_287651), 1590 ^ _232165 : [(1591 ^ _232165) ^ [_287810] : [ssList(_287810), 1594 ^ _232165 : [(1595 ^ _232165) ^ [] : [strictorderedP(cons(_287651, _287810)), -(nil = _287810), 1602 ^ _232165 : [(1603 ^ _232165) ^ [] : [nil = _287810], (1605 ^ _232165) ^ [] : [-(strictorderedP(_287810))], (1607 ^ _232165) ^ [] : [-(lt(_287651, hd(_287810)))]]], (1609 ^ _232165) ^ [] : [-(strictorderedP(cons(_287651, _287810))), 1610 ^ _232165 : [(1611 ^ _232165) ^ [] : [nil = _287810], (1613 ^ _232165) ^ [] : [-(nil = _287810), strictorderedP(_287810), lt(_287651, hd(_287810))]]]]]]], (1625 ^ _232165) ^ [_288745] : [ssItem(_288745), -(duplicatefreeP(cons(_288745, nil)))], (1631 ^ _232165) ^ [] : [-(duplicatefreeP(nil))], (1633 ^ _232165) ^ [_288990] : [ssItem(_288990), -(equalelemsP(cons(_288990, nil)))], (1639 ^ _232165) ^ [] : [-(equalelemsP(nil))], (1641 ^ _232165) ^ [_289235] : [ssList(_289235), -(nil = _289235), 1649 ^ _232165 : [(1650 ^ _232165) ^ [] : [-(ssItem(1648 ^ [_289235]))], (1652 ^ _232165) ^ [] : [-(hd(_289235) = 1648 ^ [_289235])]]], (1654 ^ _232165) ^ [_289649] : [ssList(_289649), -(nil = _289649), 1662 ^ _232165 : [(1663 ^ _232165) ^ [] : [-(ssList(1661 ^ [_289649]))], (1665 ^ _232165) ^ [] : [-(tl(_289649) = 1661 ^ [_289649])]]], (1667 ^ _232165) ^ [_290063] : [ssList(_290063), 1670 ^ _232165 : [(1671 ^ _232165) ^ [_290229] : [ssList(_290229), -(_290229 = _290063), -(nil = _290229), -(nil = _290063), hd(_290229) = hd(_290063), tl(_290229) = tl(_290063)]]], (1693 ^ _232165) ^ [_290808] : [ssList(_290808), -(nil = _290808), -(cons(hd(_290808), tl(_290808)) = _290808)], (1703 ^ _232165) ^ [_291098] : [ssList(_291098), 1706 ^ _232165 : [(1707 ^ _232165) ^ [_291250] : [ssList(_291250), 1710 ^ _232165 : [(1711 ^ _232165) ^ [_291398] : [ssList(_291398), app(_291398, _291250) = app(_291098, _291250), -(_291398 = _291098)]]]]], (1721 ^ _232165) ^ [_291717] : [ssList(_291717), 1724 ^ _232165 : [(1725 ^ _232165) ^ [_291869] : [ssList(_291869), 1728 ^ _232165 : [(1729 ^ _232165) ^ [_292017] : [ssList(_292017), app(_291869, _292017) = app(_291869, _291717), -(_292017 = _291717)]]]]], (1739 ^ _232165) ^ [_292336] : [ssList(_292336), 1742 ^ _232165 : [(1743 ^ _232165) ^ [_292475] : [ssItem(_292475), -(cons(_292475, _292336) = app(cons(_292475, nil), _292336))]]], (1749 ^ _232165) ^ [_292694] : [ssList(_292694), 1752 ^ _232165 : [(1753 ^ _232165) ^ [_292846] : [ssList(_292846), 1756 ^ _232165 : [(1757 ^ _232165) ^ [_292994] : [ssList(_292994), -(app(app(_292694, _292846), _292994) = app(_292694, app(_292846, _292994)))]]]]], (1763 ^ _232165) ^ [_293232] : [ssList(_293232), 1766 ^ _232165 : [(1767 ^ _232165) ^ [_293377] : [ssList(_293377), 1770 ^ _232165 : [(1771 ^ _232165) ^ [] : [nil = app(_293232, _293377), 1774 ^ _232165 : [(1775 ^ _232165) ^ [] : [-(nil = _293377)], (1777 ^ _232165) ^ [] : [-(nil = _293232)]]], (1779 ^ _232165) ^ [] : [-(nil = app(_293232, _293377)), nil = _293377, nil = _293232]]]]], (1789 ^ _232165) ^ [_293995] : [ssList(_293995), -(app(_293995, nil) = _293995)], (1795 ^ _232165) ^ [_294189] : [ssList(_294189), 1798 ^ _232165 : [(1799 ^ _232165) ^ [_294334] : [ssList(_294334), -(nil = _294189), -(hd(app(_294189, _294334)) = hd(_294189))]]], (1809 ^ _232165) ^ [_294641] : [ssList(_294641), 1812 ^ _232165 : [(1813 ^ _232165) ^ [_294789] : [ssList(_294789), -(nil = _294641), -(tl(app(_294641, _294789)) = app(tl(_294641), _294789))]]], (1823 ^ _232165) ^ [_295102] : [ssItem(_295102), 1826 ^ _232165 : [(1827 ^ _232165) ^ [_295244] : [ssItem(_295244), -(_295102 = _295244), geq(_295102, _295244), geq(_295244, _295102)]]], (1841 ^ _232165) ^ [_295623] : [ssItem(_295623), 1844 ^ _232165 : [(1845 ^ _232165) ^ [_295775] : [ssItem(_295775), 1848 ^ _232165 : [(1849 ^ _232165) ^ [_295923] : [ssItem(_295923), -(geq(_295623, _295923)), geq(_295623, _295775), geq(_295775, _295923)]]]]], (1863 ^ _232165) ^ [_296323] : [ssItem(_296323), -(geq(_296323, _296323))], (1869 ^ _232165) ^ [_296511] : [ssItem(_296511), lt(_296511, _296511)], (1875 ^ _232165) ^ [_296700] : [ssItem(_296700), 1878 ^ _232165 : [(1879 ^ _232165) ^ [_296852] : [ssItem(_296852), 1882 ^ _232165 : [(1883 ^ _232165) ^ [_297000] : [ssItem(_297000), -(lt(_296700, _297000)), leq(_296700, _296852), lt(_296852, _297000)]]]]], (1897 ^ _232165) ^ [_297400] : [ssItem(_297400), 1900 ^ _232165 : [(1901 ^ _232165) ^ [_297542] : [ssItem(_297542), leq(_297400, _297542), -(_297400 = _297542), -(lt(_297400, _297542))]]], (1915 ^ _232165) ^ [_297922] : [ssItem(_297922), 1918 ^ _232165 : [(1919 ^ _232165) ^ [_298066] : [ssItem(_298066), 1922 ^ _232165 : [(1923 ^ _232165) ^ [] : [lt(_297922, _298066), 1926 ^ _232165 : [(1927 ^ _232165) ^ [] : [_297922 = _298066], (1929 ^ _232165) ^ [] : [-(leq(_297922, _298066))]]], (1931 ^ _232165) ^ [] : [-(lt(_297922, _298066)), -(_297922 = _298066), leq(_297922, _298066)]]]]], (1941 ^ _232165) ^ [_298677] : [ssItem(_298677), 1944 ^ _232165 : [(1945 ^ _232165) ^ [_298815] : [ssItem(_298815), gt(_298677, _298815), gt(_298815, _298677)]]], (1955 ^ _232165) ^ [_299086] : [ssItem(_299086), 1958 ^ _232165 : [(1959 ^ _232165) ^ [_299238] : [ssItem(_299238), 1962 ^ _232165 : [(1963 ^ _232165) ^ [_299386] : [ssItem(_299386), -(gt(_299086, _299386)), gt(_299086, _299238), gt(_299238, _299386)]]]]]], input).
% 0.37/1.37  ncf('1',plain,[segmentP(1979 ^ [], 1976 ^ [])],start(2017 ^ 0)).
% 0.37/1.37  ncf('1.1',plain,[-(segmentP(1979 ^ [], 1976 ^ [])), segmentP(1985 ^ [], 1982 ^ []), 1985 ^ [] = 1979 ^ [], 1982 ^ [] = 1976 ^ []],extension(232 ^ 1,bind([[_239443, _239445, _239447, _239449], [1976 ^ [], 1982 ^ [], 1979 ^ [], 1985 ^ []]]))).
% 0.37/1.37  ncf('1.1.1',plain,[-(segmentP(1985 ^ [], 1982 ^ []))],extension(1995 ^ 2)).
% 0.37/1.37  ncf('1.1.2',plain,[-(1985 ^ [] = 1979 ^ []), 1979 ^ [] = 1985 ^ []],extension(4 ^ 2,bind([[_232416, _232418], [1985 ^ [], 1979 ^ []]]))).
% 0.37/1.37  ncf('1.1.2.1',plain,[-(1979 ^ [] = 1985 ^ [])],extension(1989 ^ 3)).
% 0.37/1.37  ncf('1.1.3',plain,[-(1982 ^ [] = 1976 ^ []), 1976 ^ [] = 1982 ^ []],extension(4 ^ 2,bind([[_232416, _232418], [1982 ^ [], 1976 ^ []]]))).
% 0.37/1.37  ncf('1.1.3.1',plain,[-(1976 ^ [] = 1982 ^ [])],extension(1991 ^ 3)).
% 0.37/1.37  %-----------------------------------------------------
% 0.37/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------