%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWC146+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n019.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 12:12:41 EDT 2023

% Result   : Theorem 0.38s 1.37s
% Output   : Proof 0.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWC146+1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n019.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 01:07:57 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.38/1.37  
% 0.38/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.38/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/1.37  %-----------------------------------------------------
% 0.38/1.37  ncf(matrix, plain, [(1978 ^ _229285) ^ [] : [-(ssList(1976 ^ []))], (1981 ^ _229285) ^ [] : [-(ssList(1979 ^ []))], (1984 ^ _229285) ^ [] : [-(ssList(1982 ^ []))], (1987 ^ _229285) ^ [] : [-(ssList(1985 ^ []))], (1989 ^ _229285) ^ [] : [-(1979 ^ [] = 1985 ^ [])], (1991 ^ _229285) ^ [] : [-(1976 ^ [] = 1982 ^ [])], (1993 ^ _229285) ^ [] : [-(neq(1979 ^ [], nil))], (1995 ^ _229285) ^ [] : [neq(1985 ^ [], nil)], (1997 ^ _229285) ^ [] : [singletonP(1979 ^ [])], (246 ^ _229285) ^ [_237089, _237091, _237093, _237095] : [-(cons(_237095, _237091) = cons(_237093, _237089)), _237095 = _237093, _237091 = _237089], (256 ^ _229285) ^ [_237420, _237422] : [_237422 = _237420, -(hd(_237422) = hd(_237420))], (272 ^ _229285) ^ [_237977, _237979] : [_237979 = _237977, -(tl(_237979) = tl(_237977))], (262 ^ _229285) ^ [_237666, _237668, _237670, _237672] : [-(app(_237672, _237668) = app(_237670, _237666)), _237672 = _237670, _237668 = _237666], (2 ^ _229285) ^ [_229429] : [-(_229429 = _229429)], (4 ^ _229285) ^ [_229536, _229538] : [_229538 = _229536, -(_229536 = _229538)], (10 ^ _229285) ^ [_229740, _229742, _229744] : [-(_229744 = _229740), _229744 = _229742, _229742 = _229740], (20 ^ _229285) ^ [_230081, _230083, _230085, _230087] : [-(memberP(_230085, _230081)), memberP(_230087, _230083), _230087 = _230085, _230083 = _230081], (34 ^ _229285) ^ [_230525, _230527, _230529, _230531] : [-(frontsegP(_230529, _230525)), frontsegP(_230531, _230527), _230531 = _230529, _230527 = _230525], (48 ^ _229285) ^ [_230969, _230971, _230973, _230975] : [-(rearsegP(_230973, _230969)), rearsegP(_230975, _230971), _230975 = _230973, _230971 = _230969], (62 ^ _229285) ^ [_231413, _231415, _231417, _231419] : [-(segmentP(_231417, _231413)), segmentP(_231419, _231415), _231419 = _231417, _231415 = _231413], (76 ^ _229285) ^ [_231829, _231831] : [-(cyclefreeP(_231829)), _231831 = _231829, cyclefreeP(_231831)], (86 ^ _229285) ^ [_232124, _232126] : [-(totalorderP(_232124)), _232126 = _232124, totalorderP(_232126)], (96 ^ _229285) ^ [_232419, _232421] : [-(strictorderP(_232419)), _232421 = _232419, strictorderP(_232421)], (106 ^ _229285) ^ [_232714, _232716] : [-(totalorderedP(_232714)), _232716 = _232714, totalorderedP(_232716)], (116 ^ _229285) ^ [_233009, _233011] : [-(strictorderedP(_233009)), _233011 = _233009, strictorderedP(_233011)], (126 ^ _229285) ^ [_233304, _233306] : [-(duplicatefreeP(_233304)), _233306 = _233304, duplicatefreeP(_233306)], (136 ^ _229285) ^ [_233599, _233601] : [-(equalelemsP(_233599)), _233601 = _233599, equalelemsP(_233601)], (146 ^ _229285) ^ [_233922, _233924, _233926, _233928] : [-(geq(_233926, _233922)), geq(_233928, _233924), _233928 = _233926, _233924 = _233922], (160 ^ _229285) ^ [_234366, _234368, _234370, _234372] : [-(lt(_234370, _234366)), lt(_234372, _234368), _234372 = _234370, _234368 = _234366], (174 ^ _229285) ^ [_234810, _234812, _234814, _234816] : [-(leq(_234814, _234810)), leq(_234816, _234812), _234816 = _234814, _234812 = _234810], (188 ^ _229285) ^ [_235226, _235228] : [-(ssItem(_235226)), _235228 = _235226, ssItem(_235228)], (198 ^ _229285) ^ [_235549, _235551, _235553, _235555] : [-(gt(_235553, _235549)), gt(_235555, _235551), _235555 = _235553, _235551 = _235549], (212 ^ _229285) ^ [_235965, _235967] : [-(ssList(_235965)), _235967 = _235965, ssList(_235967)], (236 ^ _229285) ^ [_236684, _236686] : [-(singletonP(_236684)), _236686 = _236684, singletonP(_236686)], (222 ^ _229285) ^ [_236288, _236290, _236292, _236294] : [-(neq(_236292, _236288)), neq(_236294, _236290), _236294 = _236292, _236290 = _236288], (278 ^ _229285) ^ [_238199] : [ssItem(_238199), 281 ^ _229285 : [(282 ^ _229285) ^ [_238337] : [ssItem(_238337), 285 ^ _229285 : [(286 ^ _229285) ^ [] : [neq(_238199, _238337), _238199 = _238337], (292 ^ _229285) ^ [] : [-(_238199 = _238337), -(neq(_238199, _238337))]]]]], (299 ^ _229285) ^ [] : [-(ssItem(297 ^ []))], (302 ^ _229285) ^ [] : [-(ssItem(300 ^ []))], (304 ^ _229285) ^ [] : [297 ^ [] = 300 ^ []], (306 ^ _229285) ^ [_239050] : [ssList(_239050), 309 ^ _229285 : [(310 ^ _229285) ^ [_239212] : [ssItem(_239212), 313 ^ _229285 : [(314 ^ _229285) ^ [] : [memberP(_239050, _239212), 318 ^ _229285 : [(319 ^ _229285) ^ [] : [-(ssList(317 ^ [_239050, _239212]))], (322 ^ _229285) ^ [] : [-(ssList(320 ^ [_239050, _239212]))], (324 ^ _229285) ^ [] : [-(app(317 ^ [_239050, _239212], cons(_239212, 320 ^ [_239050, _239212])) = _239050)]]], (326 ^ _229285) ^ [] : [-(memberP(_239050, _239212)), 327 ^ _229285 : [(328 ^ _229285) ^ [_239860] : [ssList(_239860), 331 ^ _229285 : [(332 ^ _229285) ^ [_240008] : [ssList(_240008), app(_239860, cons(_239212, _240008)) = _239050]]]]]]]]], (340 ^ _229285) ^ [_240299] : [ssList(_240299), 343 ^ _229285 : [(344 ^ _229285) ^ [] : [singletonP(_240299), 348 ^ _229285 : [(349 ^ _229285) ^ [] : [-(ssItem(347 ^ [_240299]))], (351 ^ _229285) ^ [] : [-(cons(347 ^ [_240299], nil) = _240299)]]], (353 ^ _229285) ^ [] : [-(singletonP(_240299)), 354 ^ _229285 : [(355 ^ _229285) ^ [_240748] : [ssItem(_240748), cons(_240748, nil) = _240299]]]]], (363 ^ _229285) ^ [_241004] : [ssList(_241004), 366 ^ _229285 : [(367 ^ _229285) ^ [_241153] : [ssList(_241153), 370 ^ _229285 : [(371 ^ _229285) ^ [] : [frontsegP(_241004, _241153), 375 ^ _229285 : [(376 ^ _229285) ^ [] : [-(ssList(374 ^ [_241004, _241153]))], (378 ^ _229285) ^ [] : [-(app(_241153, 374 ^ [_241004, _241153]) = _241004)]]], (380 ^ _229285) ^ [] : [-(frontsegP(_241004, _241153)), 381 ^ _229285 : [(382 ^ _229285) ^ [_241628] : [ssList(_241628), app(_241153, _241628) = _241004]]]]]]], (390 ^ _229285) ^ [_241900] : [ssList(_241900), 393 ^ _229285 : [(394 ^ _229285) ^ [_242049] : [ssList(_242049), 397 ^ _229285 : [(398 ^ _229285) ^ [] : [rearsegP(_241900, _242049), 402 ^ _229285 : [(403 ^ _229285) ^ [] : [-(ssList(401 ^ [_241900, _242049]))], (405 ^ _229285) ^ [] : [-(app(401 ^ [_241900, _242049], _242049) = _241900)]]], (407 ^ _229285) ^ [] : [-(rearsegP(_241900, _242049)), 408 ^ _229285 : [(409 ^ _229285) ^ [_242524] : [ssList(_242524), app(_242524, _242049) = _241900]]]]]]], (417 ^ _229285) ^ [_242796] : [ssList(_242796), 420 ^ _229285 : [(421 ^ _229285) ^ [_242958] : [ssList(_242958), 424 ^ _229285 : [(425 ^ _229285) ^ [] : [segmentP(_242796, _242958), 429 ^ _229285 : [(430 ^ _229285) ^ [] : [-(ssList(428 ^ [_242796, _242958]))], (433 ^ _229285) ^ [] : [-(ssList(431 ^ [_242796, _242958]))], (435 ^ _229285) ^ [] : [-(app(app(428 ^ [_242796, _242958], _242958), 431 ^ [_242796, _242958]) = _242796)]]], (437 ^ _229285) ^ [] : [-(segmentP(_242796, _242958)), 438 ^ _229285 : [(439 ^ _229285) ^ [_243606] : [ssList(_243606), 442 ^ _229285 : [(443 ^ _229285) ^ [_243754] : [ssList(_243754), app(app(_243606, _242958), _243754) = _242796]]]]]]]]], (451 ^ _229285) ^ [_244045] : [ssList(_244045), 454 ^ _229285 : [(489 ^ _229285) ^ [] : [491 ^ _229285 : [(492 ^ _229285) ^ [] : [-(ssItem(490 ^ [_244045]))], (495 ^ _229285) ^ [] : [-(ssItem(493 ^ [_244045]))], (498 ^ _229285) ^ [] : [-(ssList(496 ^ [_244045]))], (501 ^ _229285) ^ [] : [-(ssList(499 ^ [_244045]))], (504 ^ _229285) ^ [] : [-(ssList(502 ^ [_244045]))], (506 ^ _229285) ^ [] : [-(app(app(496 ^ [_244045], cons(490 ^ [_244045], 499 ^ [_244045])), cons(493 ^ [_244045], 502 ^ [_244045])) = _244045)], (508 ^ _229285) ^ [] : [-(leq(490 ^ [_244045], 493 ^ [_244045]))], (510 ^ _229285) ^ [] : [-(leq(493 ^ [_244045], 490 ^ [_244045]))]], -(cyclefreeP(_244045))], (455 ^ _229285) ^ [] : [cyclefreeP(_244045), 458 ^ _229285 : [(459 ^ _229285) ^ [_244349] : [ssItem(_244349), 462 ^ _229285 : [(463 ^ _229285) ^ [_244541] : [ssItem(_244541), 466 ^ _229285 : [(467 ^ _229285) ^ [_244729] : [ssList(_244729), 470 ^ _229285 : [(471 ^ _229285) ^ [_244913] : [ssList(_244913), 474 ^ _229285 : [(475 ^ _229285) ^ [_245093] : [ssList(_245093), app(app(_244729, cons(_244349, _244913)), cons(_244541, _245093)) = _244045, leq(_244349, _244541), leq(_244541, _244349)]]]]]]]]]]]]], (514 ^ _229285) ^ [_246831] : [ssList(_246831), 517 ^ _229285 : [(552 ^ _229285) ^ [] : [554 ^ _229285 : [(555 ^ _229285) ^ [] : [-(ssItem(553 ^ [_246831]))], (558 ^ _229285) ^ [] : [-(ssItem(556 ^ [_246831]))], (561 ^ _229285) ^ [] : [-(ssList(559 ^ [_246831]))], (564 ^ _229285) ^ [] : [-(ssList(562 ^ [_246831]))], (567 ^ _229285) ^ [] : [-(ssList(565 ^ [_246831]))], (569 ^ _229285) ^ [] : [-(app(app(559 ^ [_246831], cons(553 ^ [_246831], 562 ^ [_246831])), cons(556 ^ [_246831], 565 ^ [_246831])) = _246831)], (571 ^ _229285) ^ [] : [leq(553 ^ [_246831], 556 ^ [_246831])], (573 ^ _229285) ^ [] : [leq(556 ^ [_246831], 553 ^ [_246831])]], -(totalorderP(_246831))], (518 ^ _229285) ^ [] : [totalorderP(_246831), 521 ^ _229285 : [(522 ^ _229285) ^ [_247133] : [ssItem(_247133), 525 ^ _229285 : [(526 ^ _229285) ^ [_247323] : [ssItem(_247323), 529 ^ _229285 : [(530 ^ _229285) ^ [_247509] : [ssList(_247509), 533 ^ _229285 : [(534 ^ _229285) ^ [_247691] : [ssList(_247691), 537 ^ _229285 : [(538 ^ _229285) ^ [_247869] : [ssList(_247869), app(app(_247509, cons(_247133, _247691)), cons(_247323, _247869)) = _246831, -(leq(_247133, _247323)), -(leq(_247323, _247133))]]]]]]]]]]]]], (577 ^ _229285) ^ [_249595] : [ssList(_249595), 580 ^ _229285 : [(615 ^ _229285) ^ [] : [617 ^ _229285 : [(618 ^ _229285) ^ [] : [-(ssItem(616 ^ [_249595]))], (621 ^ _229285) ^ [] : [-(ssItem(619 ^ [_249595]))], (624 ^ _229285) ^ [] : [-(ssList(622 ^ [_249595]))], (627 ^ _229285) ^ [] : [-(ssList(625 ^ [_249595]))], (630 ^ _229285) ^ [] : [-(ssList(628 ^ [_249595]))], (632 ^ _229285) ^ [] : [-(app(app(622 ^ [_249595], cons(616 ^ [_249595], 625 ^ [_249595])), cons(619 ^ [_249595], 628 ^ [_249595])) = _249595)], (634 ^ _229285) ^ [] : [lt(616 ^ [_249595], 619 ^ [_249595])], (636 ^ _229285) ^ [] : [lt(619 ^ [_249595], 616 ^ [_249595])]], -(strictorderP(_249595))], (581 ^ _229285) ^ [] : [strictorderP(_249595), 584 ^ _229285 : [(585 ^ _229285) ^ [_249897] : [ssItem(_249897), 588 ^ _229285 : [(589 ^ _229285) ^ [_250087] : [ssItem(_250087), 592 ^ _229285 : [(593 ^ _229285) ^ [_250273] : [ssList(_250273), 596 ^ _229285 : [(597 ^ _229285) ^ [_250455] : [ssList(_250455), 600 ^ _229285 : [(601 ^ _229285) ^ [_250633] : [ssList(_250633), app(app(_250273, cons(_249897, _250455)), cons(_250087, _250633)) = _249595, -(lt(_249897, _250087)), -(lt(_250087, _249897))]]]]]]]]]]]]], (640 ^ _229285) ^ [_252359] : [ssList(_252359), 643 ^ _229285 : [(674 ^ _229285) ^ [] : [676 ^ _229285 : [(677 ^ _229285) ^ [] : [-(ssItem(675 ^ [_252359]))], (680 ^ _229285) ^ [] : [-(ssItem(678 ^ [_252359]))], (683 ^ _229285) ^ [] : [-(ssList(681 ^ [_252359]))], (686 ^ _229285) ^ [] : [-(ssList(684 ^ [_252359]))], (689 ^ _229285) ^ [] : [-(ssList(687 ^ [_252359]))], (691 ^ _229285) ^ [] : [-(app(app(681 ^ [_252359], cons(675 ^ [_252359], 684 ^ [_252359])), cons(678 ^ [_252359], 687 ^ [_252359])) = _252359)], (693 ^ _229285) ^ [] : [leq(675 ^ [_252359], 678 ^ [_252359])]], -(totalorderedP(_252359))], (644 ^ _229285) ^ [] : [totalorderedP(_252359), 647 ^ _229285 : [(648 ^ _229285) ^ [_252655] : [ssItem(_252655), 651 ^ _229285 : [(652 ^ _229285) ^ [_252839] : [ssItem(_252839), 655 ^ _229285 : [(656 ^ _229285) ^ [_253019] : [ssList(_253019), 659 ^ _229285 : [(660 ^ _229285) ^ [_253195] : [ssList(_253195), 663 ^ _229285 : [(664 ^ _229285) ^ [_253367] : [ssList(_253367), app(app(_253019, cons(_252655, _253195)), cons(_252839, _253367)) = _252359, -(leq(_252655, _252839))]]]]]]]]]]]]], (697 ^ _229285) ^ [_254847] : [ssList(_254847), 700 ^ _229285 : [(731 ^ _229285) ^ [] : [733 ^ _229285 : [(734 ^ _229285) ^ [] : [-(ssItem(732 ^ [_254847]))], (737 ^ _229285) ^ [] : [-(ssItem(735 ^ [_254847]))], (740 ^ _229285) ^ [] : [-(ssList(738 ^ [_254847]))], (743 ^ _229285) ^ [] : [-(ssList(741 ^ [_254847]))], (746 ^ _229285) ^ [] : [-(ssList(744 ^ [_254847]))], (748 ^ _229285) ^ [] : [-(app(app(738 ^ [_254847], cons(732 ^ [_254847], 741 ^ [_254847])), cons(735 ^ [_254847], 744 ^ [_254847])) = _254847)], (750 ^ _229285) ^ [] : [lt(732 ^ [_254847], 735 ^ [_254847])]], -(strictorderedP(_254847))], (701 ^ _229285) ^ [] : [strictorderedP(_254847), 704 ^ _229285 : [(705 ^ _229285) ^ [_255143] : [ssItem(_255143), 708 ^ _229285 : [(709 ^ _229285) ^ [_255327] : [ssItem(_255327), 712 ^ _229285 : [(713 ^ _229285) ^ [_255507] : [ssList(_255507), 716 ^ _229285 : [(717 ^ _229285) ^ [_255683] : [ssList(_255683), 720 ^ _229285 : [(721 ^ _229285) ^ [_255855] : [ssList(_255855), app(app(_255507, cons(_255143, _255683)), cons(_255327, _255855)) = _254847, -(lt(_255143, _255327))]]]]]]]]]]]]], (754 ^ _229285) ^ [_257335] : [ssList(_257335), 757 ^ _229285 : [(788 ^ _229285) ^ [] : [790 ^ _229285 : [(791 ^ _229285) ^ [] : [-(ssItem(789 ^ [_257335]))], (794 ^ _229285) ^ [] : [-(ssItem(792 ^ [_257335]))], (797 ^ _229285) ^ [] : [-(ssList(795 ^ [_257335]))], (800 ^ _229285) ^ [] : [-(ssList(798 ^ [_257335]))], (803 ^ _229285) ^ [] : [-(ssList(801 ^ [_257335]))], (805 ^ _229285) ^ [] : [-(app(app(795 ^ [_257335], cons(789 ^ [_257335], 798 ^ [_257335])), cons(792 ^ [_257335], 801 ^ [_257335])) = _257335)], (807 ^ _229285) ^ [] : [-(789 ^ [_257335] = 792 ^ [_257335])]], -(duplicatefreeP(_257335))], (758 ^ _229285) ^ [] : [duplicatefreeP(_257335), 761 ^ _229285 : [(762 ^ _229285) ^ [_257633] : [ssItem(_257633), 765 ^ _229285 : [(766 ^ _229285) ^ [_257819] : [ssItem(_257819), 769 ^ _229285 : [(770 ^ _229285) ^ [_258001] : [ssList(_258001), 773 ^ _229285 : [(774 ^ _229285) ^ [_258179] : [ssList(_258179), 777 ^ _229285 : [(778 ^ _229285) ^ [_258353] : [ssList(_258353), app(app(_258001, cons(_257633, _258179)), cons(_257819, _258353)) = _257335, _257633 = _257819]]]]]]]]]]]]], (811 ^ _229285) ^ [_259845] : [ssList(_259845), 814 ^ _229285 : [(841 ^ _229285) ^ [] : [843 ^ _229285 : [(844 ^ _229285) ^ [] : [-(ssItem(842 ^ [_259845]))], (847 ^ _229285) ^ [] : [-(ssItem(845 ^ [_259845]))], (850 ^ _229285) ^ [] : [-(ssList(848 ^ [_259845]))], (853 ^ _229285) ^ [] : [-(ssList(851 ^ [_259845]))], (855 ^ _229285) ^ [] : [-(app(848 ^ [_259845], cons(842 ^ [_259845], cons(845 ^ [_259845], 851 ^ [_259845]))) = _259845)], (857 ^ _229285) ^ [] : [842 ^ [_259845] = 845 ^ [_259845]]], -(equalelemsP(_259845))], (815 ^ _229285) ^ [] : [equalelemsP(_259845), 818 ^ _229285 : [(819 ^ _229285) ^ [_260128] : [ssItem(_260128), 822 ^ _229285 : [(823 ^ _229285) ^ [_260299] : [ssItem(_260299), 826 ^ _229285 : [(827 ^ _229285) ^ [_260466] : [ssList(_260466), 830 ^ _229285 : [(831 ^ _229285) ^ [_260629] : [ssList(_260629), app(_260466, cons(_260128, cons(_260299, _260629))) = _259845, -(_260128 = _260299)]]]]]]]]]]], (861 ^ _229285) ^ [_261862] : [ssList(_261862), 864 ^ _229285 : [(865 ^ _229285) ^ [_262000] : [ssList(_262000), 868 ^ _229285 : [(869 ^ _229285) ^ [] : [neq(_261862, _262000), _261862 = _262000], (875 ^ _229285) ^ [] : [-(_261862 = _262000), -(neq(_261862, _262000))]]]]], (881 ^ _229285) ^ [_262453] : [ssList(_262453), 884 ^ _229285 : [(885 ^ _229285) ^ [_262585] : [ssItem(_262585), -(ssList(cons(_262585, _262453)))]]], (891 ^ _229285) ^ [] : [-(ssList(nil))], (893 ^ _229285) ^ [_262843] : [ssList(_262843), 896 ^ _229285 : [(897 ^ _229285) ^ [_262978] : [ssItem(_262978), cons(_262978, _262843) = _262843]]], (903 ^ _229285) ^ [_263186] : [ssList(_263186), 906 ^ _229285 : [(907 ^ _229285) ^ [_263354] : [ssList(_263354), 910 ^ _229285 : [(911 ^ _229285) ^ [_263518] : [ssItem(_263518), 914 ^ _229285 : [(915 ^ _229285) ^ [_263678] : [ssItem(_263678), cons(_263518, _263186) = cons(_263678, _263354), 922 ^ _229285 : [(923 ^ _229285) ^ [] : [-(_263518 = _263678)], (925 ^ _229285) ^ [] : [-(_263354 = _263186)]]]]]]]]], (927 ^ _229285) ^ [_264093] : [ssList(_264093), -(nil = _264093), 935 ^ _229285 : [(936 ^ _229285) ^ [] : [-(ssList(934 ^ [_264093]))], (939 ^ _229285) ^ [] : [-(ssItem(937 ^ [_264093]))], (941 ^ _229285) ^ [] : [-(cons(937 ^ [_264093], 934 ^ [_264093]) = _264093)]]], (943 ^ _229285) ^ [_264657] : [ssList(_264657), 946 ^ _229285 : [(947 ^ _229285) ^ [_264792] : [ssItem(_264792), nil = cons(_264792, _264657)]]], (953 ^ _229285) ^ [_265000] : [ssList(_265000), -(nil = _265000), -(ssItem(hd(_265000)))], (963 ^ _229285) ^ [_265278] : [ssList(_265278), 966 ^ _229285 : [(967 ^ _229285) ^ [_265413] : [ssItem(_265413), -(hd(cons(_265413, _265278)) = _265413)]]], (973 ^ _229285) ^ [_265624] : [ssList(_265624), -(nil = _265624), -(ssList(tl(_265624)))], (983 ^ _229285) ^ [_265902] : [ssList(_265902), 986 ^ _229285 : [(987 ^ _229285) ^ [_266037] : [ssItem(_266037), -(tl(cons(_266037, _265902)) = _265902)]]], (993 ^ _229285) ^ [_266248] : [ssList(_266248), 996 ^ _229285 : [(997 ^ _229285) ^ [_266380] : [ssList(_266380), -(ssList(app(_266248, _266380)))]]], (1003 ^ _229285) ^ [_266585] : [ssList(_266585), 1006 ^ _229285 : [(1007 ^ _229285) ^ [_266737] : [ssList(_266737), 1010 ^ _229285 : [(1011 ^ _229285) ^ [_266885] : [ssItem(_266885), -(cons(_266885, app(_266737, _266585)) = app(cons(_266885, _266737), _266585))]]]]], (1017 ^ _229285) ^ [_267123] : [ssList(_267123), -(app(nil, _267123) = _267123)], (1023 ^ _229285) ^ [_267317] : [ssItem(_267317), 1026 ^ _229285 : [(1027 ^ _229285) ^ [_267459] : [ssItem(_267459), -(_267317 = _267459), leq(_267317, _267459), leq(_267459, _267317)]]], (1041 ^ _229285) ^ [_267838] : [ssItem(_267838), 1044 ^ _229285 : [(1045 ^ _229285) ^ [_267990] : [ssItem(_267990), 1048 ^ _229285 : [(1049 ^ _229285) ^ [_268138] : [ssItem(_268138), -(leq(_267838, _268138)), leq(_267838, _267990), leq(_267990, _268138)]]]]], (1063 ^ _229285) ^ [_268538] : [ssItem(_268538), -(leq(_268538, _268538))], (1069 ^ _229285) ^ [_268726] : [ssItem(_268726), 1072 ^ _229285 : [(1073 ^ _229285) ^ [_268862] : [ssItem(_268862), 1076 ^ _229285 : [(1077 ^ _229285) ^ [] : [geq(_268726, _268862), -(leq(_268862, _268726))], (1083 ^ _229285) ^ [] : [leq(_268862, _268726), -(geq(_268726, _268862))]]]]], (1089 ^ _229285) ^ [_269313] : [ssItem(_269313), 1092 ^ _229285 : [(1093 ^ _229285) ^ [_269451] : [ssItem(_269451), lt(_269313, _269451), lt(_269451, _269313)]]], (1103 ^ _229285) ^ [_269742] : [ssItem(_269742), 1106 ^ _229285 : [(1107 ^ _229285) ^ [_269894] : [ssItem(_269894), 1110 ^ _229285 : [(1111 ^ _229285) ^ [_270042] : [ssItem(_270042), -(lt(_269742, _270042)), lt(_269742, _269894), lt(_269894, _270042)]]]]], (1125 ^ _229285) ^ [_270442] : [ssItem(_270442), 1128 ^ _229285 : [(1129 ^ _229285) ^ [_270578] : [ssItem(_270578), 1132 ^ _229285 : [(1133 ^ _229285) ^ [] : [gt(_270442, _270578), -(lt(_270578, _270442))], (1139 ^ _229285) ^ [] : [lt(_270578, _270442), -(gt(_270442, _270578))]]]]], (1145 ^ _229285) ^ [_271029] : [ssItem(_271029), 1148 ^ _229285 : [(1149 ^ _229285) ^ [_271184] : [ssList(_271184), 1152 ^ _229285 : [(1153 ^ _229285) ^ [_271335] : [ssList(_271335), 1156 ^ _229285 : [(1167 ^ _229285) ^ [] : [1168 ^ _229285 : [(1169 ^ _229285) ^ [] : [memberP(_271184, _271029)], (1171 ^ _229285) ^ [] : [memberP(_271335, _271029)]], -(memberP(app(_271184, _271335), _271029))], (1157 ^ _229285) ^ [] : [memberP(app(_271184, _271335), _271029), -(memberP(_271184, _271029)), -(memberP(_271335, _271029))]]]]]]], (1175 ^ _229285) ^ [_271982] : [ssItem(_271982), 1178 ^ _229285 : [(1179 ^ _229285) ^ [_272137] : [ssItem(_272137), 1182 ^ _229285 : [(1183 ^ _229285) ^ [_272288] : [ssList(_272288), 1186 ^ _229285 : [(1197 ^ _229285) ^ [] : [1198 ^ _229285 : [(1199 ^ _229285) ^ [] : [_271982 = _272137], (1201 ^ _229285) ^ [] : [memberP(_272288, _271982)]], -(memberP(cons(_272137, _272288), _271982))], (1187 ^ _229285) ^ [] : [memberP(cons(_272137, _272288), _271982), -(_271982 = _272137), -(memberP(_272288, _271982))]]]]]]], (1205 ^ _229285) ^ [_272935] : [ssItem(_272935), memberP(nil, _272935)], (1211 ^ _229285) ^ [] : [singletonP(nil)], (1213 ^ _229285) ^ [_273176] : [ssList(_273176), 1216 ^ _229285 : [(1217 ^ _229285) ^ [_273328] : [ssList(_273328), 1220 ^ _229285 : [(1221 ^ _229285) ^ [_273476] : [ssList(_273476), -(frontsegP(_273176, _273476)), frontsegP(_273176, _273328), frontsegP(_273328, _273476)]]]]], (1235 ^ _229285) ^ [_273876] : [ssList(_273876), 1238 ^ _229285 : [(1239 ^ _229285) ^ [_274018] : [ssList(_274018), -(_273876 = _274018), frontsegP(_273876, _274018), frontsegP(_274018, _273876)]]], (1253 ^ _229285) ^ [_274397] : [ssList(_274397), -(frontsegP(_274397, _274397))], (1259 ^ _229285) ^ [_274585] : [ssList(_274585), 1262 ^ _229285 : [(1263 ^ _229285) ^ [_274734] : [ssList(_274734), 1266 ^ _229285 : [(1267 ^ _229285) ^ [_274879] : [ssList(_274879), frontsegP(_274585, _274734), -(frontsegP(app(_274585, _274879), _274734))]]]]], (1277 ^ _229285) ^ [_275192] : [ssItem(_275192), 1280 ^ _229285 : [(1281 ^ _229285) ^ [_275360] : [ssItem(_275360), 1284 ^ _229285 : [(1285 ^ _229285) ^ [_275524] : [ssList(_275524), 1288 ^ _229285 : [(1289 ^ _229285) ^ [_275684] : [ssList(_275684), 1292 ^ _229285 : [(1293 ^ _229285) ^ [] : [frontsegP(cons(_275192, _275524), cons(_275360, _275684)), 1296 ^ _229285 : [(1297 ^ _229285) ^ [] : [-(_275192 = _275360)], (1299 ^ _229285) ^ [] : [-(frontsegP(_275524, _275684))]]], (1301 ^ _229285) ^ [] : [-(frontsegP(cons(_275192, _275524), cons(_275360, _275684))), _275192 = _275360, frontsegP(_275524, _275684)]]]]]]]]], (1311 ^ _229285) ^ [_276369] : [ssList(_276369), -(frontsegP(_276369, nil))], (1317 ^ _229285) ^ [_276557] : [ssList(_276557), 1320 ^ _229285 : [(1321 ^ _229285) ^ [] : [frontsegP(nil, _276557), -(nil = _276557)], (1327 ^ _229285) ^ [] : [nil = _276557, -(frontsegP(nil, _276557))]]], (1333 ^ _229285) ^ [_276985] : [ssList(_276985), 1336 ^ _229285 : [(1337 ^ _229285) ^ [_277137] : [ssList(_277137), 1340 ^ _229285 : [(1341 ^ _229285) ^ [_277285] : [ssList(_277285), -(rearsegP(_276985, _277285)), rearsegP(_276985, _277137), rearsegP(_277137, _277285)]]]]], (1355 ^ _229285) ^ [_277685] : [ssList(_277685), 1358 ^ _229285 : [(1359 ^ _229285) ^ [_277827] : [ssList(_277827), -(_277685 = _277827), rearsegP(_277685, _277827), rearsegP(_277827, _277685)]]], (1373 ^ _229285) ^ [_278206] : [ssList(_278206), -(rearsegP(_278206, _278206))], (1379 ^ _229285) ^ [_278394] : [ssList(_278394), 1382 ^ _229285 : [(1383 ^ _229285) ^ [_278543] : [ssList(_278543), 1386 ^ _229285 : [(1387 ^ _229285) ^ [_278688] : [ssList(_278688), rearsegP(_278394, _278543), -(rearsegP(app(_278688, _278394), _278543))]]]]], (1397 ^ _229285) ^ [_279001] : [ssList(_279001), -(rearsegP(_279001, nil))], (1403 ^ _229285) ^ [_279189] : [ssList(_279189), 1406 ^ _229285 : [(1407 ^ _229285) ^ [] : [rearsegP(nil, _279189), -(nil = _279189)], (1413 ^ _229285) ^ [] : [nil = _279189, -(rearsegP(nil, _279189))]]], (1419 ^ _229285) ^ [_279617] : [ssList(_279617), 1422 ^ _229285 : [(1423 ^ _229285) ^ [_279769] : [ssList(_279769), 1426 ^ _229285 : [(1427 ^ _229285) ^ [_279917] : [ssList(_279917), -(segmentP(_279617, _279917)), segmentP(_279617, _279769), segmentP(_279769, _279917)]]]]], (1441 ^ _229285) ^ [_280317] : [ssList(_280317), 1444 ^ _229285 : [(1445 ^ _229285) ^ [_280459] : [ssList(_280459), -(_280317 = _280459), segmentP(_280317, _280459), segmentP(_280459, _280317)]]], (1459 ^ _229285) ^ [_280838] : [ssList(_280838), -(segmentP(_280838, _280838))], (1465 ^ _229285) ^ [_281026] : [ssList(_281026), 1468 ^ _229285 : [(1469 ^ _229285) ^ [_281188] : [ssList(_281188), 1472 ^ _229285 : [(1473 ^ _229285) ^ [_281346] : [ssList(_281346), 1476 ^ _229285 : [(1477 ^ _229285) ^ [_281500] : [ssList(_281500), segmentP(_281026, _281188), -(segmentP(app(app(_281346, _281026), _281500), _281188))]]]]]]], (1487 ^ _229285) ^ [_281836] : [ssList(_281836), -(segmentP(_281836, nil))], (1493 ^ _229285) ^ [_282024] : [ssList(_282024), 1496 ^ _229285 : [(1497 ^ _229285) ^ [] : [segmentP(nil, _282024), -(nil = _282024)], (1503 ^ _229285) ^ [] : [nil = _282024, -(segmentP(nil, _282024))]]], (1509 ^ _229285) ^ [_282452] : [ssItem(_282452), -(cyclefreeP(cons(_282452, nil)))], (1515 ^ _229285) ^ [] : [-(cyclefreeP(nil))], (1517 ^ _229285) ^ [_282697] : [ssItem(_282697), -(totalorderP(cons(_282697, nil)))], (1523 ^ _229285) ^ [] : [-(totalorderP(nil))], (1525 ^ _229285) ^ [_282942] : [ssItem(_282942), -(strictorderP(cons(_282942, nil)))], (1531 ^ _229285) ^ [] : [-(strictorderP(nil))], (1533 ^ _229285) ^ [_283187] : [ssItem(_283187), -(totalorderedP(cons(_283187, nil)))], (1539 ^ _229285) ^ [] : [-(totalorderedP(nil))], (1541 ^ _229285) ^ [_283432] : [ssItem(_283432), 1544 ^ _229285 : [(1545 ^ _229285) ^ [_283591] : [ssList(_283591), 1548 ^ _229285 : [(1549 ^ _229285) ^ [] : [totalorderedP(cons(_283432, _283591)), -(nil = _283591), 1556 ^ _229285 : [(1557 ^ _229285) ^ [] : [nil = _283591], (1559 ^ _229285) ^ [] : [-(totalorderedP(_283591))], (1561 ^ _229285) ^ [] : [-(leq(_283432, hd(_283591)))]]], (1563 ^ _229285) ^ [] : [-(totalorderedP(cons(_283432, _283591))), 1564 ^ _229285 : [(1565 ^ _229285) ^ [] : [nil = _283591], (1567 ^ _229285) ^ [] : [-(nil = _283591), totalorderedP(_283591), leq(_283432, hd(_283591))]]]]]]], (1579 ^ _229285) ^ [_284526] : [ssItem(_284526), -(strictorderedP(cons(_284526, nil)))], (1585 ^ _229285) ^ [] : [-(strictorderedP(nil))], (1587 ^ _229285) ^ [_284771] : [ssItem(_284771), 1590 ^ _229285 : [(1591 ^ _229285) ^ [_284930] : [ssList(_284930), 1594 ^ _229285 : [(1595 ^ _229285) ^ [] : [strictorderedP(cons(_284771, _284930)), -(nil = _284930), 1602 ^ _229285 : [(1603 ^ _229285) ^ [] : [nil = _284930], (1605 ^ _229285) ^ [] : [-(strictorderedP(_284930))], (1607 ^ _229285) ^ [] : [-(lt(_284771, hd(_284930)))]]], (1609 ^ _229285) ^ [] : [-(strictorderedP(cons(_284771, _284930))), 1610 ^ _229285 : [(1611 ^ _229285) ^ [] : [nil = _284930], (1613 ^ _229285) ^ [] : [-(nil = _284930), strictorderedP(_284930), lt(_284771, hd(_284930))]]]]]]], (1625 ^ _229285) ^ [_285865] : [ssItem(_285865), -(duplicatefreeP(cons(_285865, nil)))], (1631 ^ _229285) ^ [] : [-(duplicatefreeP(nil))], (1633 ^ _229285) ^ [_286110] : [ssItem(_286110), -(equalelemsP(cons(_286110, nil)))], (1639 ^ _229285) ^ [] : [-(equalelemsP(nil))], (1641 ^ _229285) ^ [_286355] : [ssList(_286355), -(nil = _286355), 1649 ^ _229285 : [(1650 ^ _229285) ^ [] : [-(ssItem(1648 ^ [_286355]))], (1652 ^ _229285) ^ [] : [-(hd(_286355) = 1648 ^ [_286355])]]], (1654 ^ _229285) ^ [_286769] : [ssList(_286769), -(nil = _286769), 1662 ^ _229285 : [(1663 ^ _229285) ^ [] : [-(ssList(1661 ^ [_286769]))], (1665 ^ _229285) ^ [] : [-(tl(_286769) = 1661 ^ [_286769])]]], (1667 ^ _229285) ^ [_287183] : [ssList(_287183), 1670 ^ _229285 : [(1671 ^ _229285) ^ [_287349] : [ssList(_287349), -(_287349 = _287183), -(nil = _287349), -(nil = _287183), hd(_287349) = hd(_287183), tl(_287349) = tl(_287183)]]], (1693 ^ _229285) ^ [_287928] : [ssList(_287928), -(nil = _287928), -(cons(hd(_287928), tl(_287928)) = _287928)], (1703 ^ _229285) ^ [_288218] : [ssList(_288218), 1706 ^ _229285 : [(1707 ^ _229285) ^ [_288370] : [ssList(_288370), 1710 ^ _229285 : [(1711 ^ _229285) ^ [_288518] : [ssList(_288518), app(_288518, _288370) = app(_288218, _288370), -(_288518 = _288218)]]]]], (1721 ^ _229285) ^ [_288837] : [ssList(_288837), 1724 ^ _229285 : [(1725 ^ _229285) ^ [_288989] : [ssList(_288989), 1728 ^ _229285 : [(1729 ^ _229285) ^ [_289137] : [ssList(_289137), app(_288989, _289137) = app(_288989, _288837), -(_289137 = _288837)]]]]], (1739 ^ _229285) ^ [_289456] : [ssList(_289456), 1742 ^ _229285 : [(1743 ^ _229285) ^ [_289595] : [ssItem(_289595), -(cons(_289595, _289456) = app(cons(_289595, nil), _289456))]]], (1749 ^ _229285) ^ [_289814] : [ssList(_289814), 1752 ^ _229285 : [(1753 ^ _229285) ^ [_289966] : [ssList(_289966), 1756 ^ _229285 : [(1757 ^ _229285) ^ [_290114] : [ssList(_290114), -(app(app(_289814, _289966), _290114) = app(_289814, app(_289966, _290114)))]]]]], (1763 ^ _229285) ^ [_290352] : [ssList(_290352), 1766 ^ _229285 : [(1767 ^ _229285) ^ [_290497] : [ssList(_290497), 1770 ^ _229285 : [(1771 ^ _229285) ^ [] : [nil = app(_290352, _290497), 1774 ^ _229285 : [(1775 ^ _229285) ^ [] : [-(nil = _290497)], (1777 ^ _229285) ^ [] : [-(nil = _290352)]]], (1779 ^ _229285) ^ [] : [-(nil = app(_290352, _290497)), nil = _290497, nil = _290352]]]]], (1789 ^ _229285) ^ [_291115] : [ssList(_291115), -(app(_291115, nil) = _291115)], (1795 ^ _229285) ^ [_291309] : [ssList(_291309), 1798 ^ _229285 : [(1799 ^ _229285) ^ [_291454] : [ssList(_291454), -(nil = _291309), -(hd(app(_291309, _291454)) = hd(_291309))]]], (1809 ^ _229285) ^ [_291761] : [ssList(_291761), 1812 ^ _229285 : [(1813 ^ _229285) ^ [_291909] : [ssList(_291909), -(nil = _291761), -(tl(app(_291761, _291909)) = app(tl(_291761), _291909))]]], (1823 ^ _229285) ^ [_292222] : [ssItem(_292222), 1826 ^ _229285 : [(1827 ^ _229285) ^ [_292364] : [ssItem(_292364), -(_292222 = _292364), geq(_292222, _292364), geq(_292364, _292222)]]], (1841 ^ _229285) ^ [_292743] : [ssItem(_292743), 1844 ^ _229285 : [(1845 ^ _229285) ^ [_292895] : [ssItem(_292895), 1848 ^ _229285 : [(1849 ^ _229285) ^ [_293043] : [ssItem(_293043), -(geq(_292743, _293043)), geq(_292743, _292895), geq(_292895, _293043)]]]]], (1863 ^ _229285) ^ [_293443] : [ssItem(_293443), -(geq(_293443, _293443))], (1869 ^ _229285) ^ [_293631] : [ssItem(_293631), lt(_293631, _293631)], (1875 ^ _229285) ^ [_293820] : [ssItem(_293820), 1878 ^ _229285 : [(1879 ^ _229285) ^ [_293972] : [ssItem(_293972), 1882 ^ _229285 : [(1883 ^ _229285) ^ [_294120] : [ssItem(_294120), -(lt(_293820, _294120)), leq(_293820, _293972), lt(_293972, _294120)]]]]], (1897 ^ _229285) ^ [_294520] : [ssItem(_294520), 1900 ^ _229285 : [(1901 ^ _229285) ^ [_294662] : [ssItem(_294662), leq(_294520, _294662), -(_294520 = _294662), -(lt(_294520, _294662))]]], (1915 ^ _229285) ^ [_295042] : [ssItem(_295042), 1918 ^ _229285 : [(1919 ^ _229285) ^ [_295186] : [ssItem(_295186), 1922 ^ _229285 : [(1923 ^ _229285) ^ [] : [lt(_295042, _295186), 1926 ^ _229285 : [(1927 ^ _229285) ^ [] : [_295042 = _295186], (1929 ^ _229285) ^ [] : [-(leq(_295042, _295186))]]], (1931 ^ _229285) ^ [] : [-(lt(_295042, _295186)), -(_295042 = _295186), leq(_295042, _295186)]]]]], (1941 ^ _229285) ^ [_295797] : [ssItem(_295797), 1944 ^ _229285 : [(1945 ^ _229285) ^ [_295935] : [ssItem(_295935), gt(_295797, _295935), gt(_295935, _295797)]]], (1955 ^ _229285) ^ [_296206] : [ssItem(_296206), 1958 ^ _229285 : [(1959 ^ _229285) ^ [_296358] : [ssItem(_296358), 1962 ^ _229285 : [(1963 ^ _229285) ^ [_296506] : [ssItem(_296506), -(gt(_296206, _296506)), gt(_296206, _296358), gt(_296358, _296506)]]]]]], input).
% 0.38/1.37  ncf('1',plain,[neq(1985 ^ [], nil)],start(1995 ^ 0)).
% 0.38/1.37  ncf('1.1',plain,[-(neq(1985 ^ [], nil)), neq(1979 ^ [], nil), 1979 ^ [] = 1985 ^ [], nil = nil],extension(222 ^ 1,bind([[_236288, _236290, _236292, _236294], [nil, nil, 1985 ^ [], 1979 ^ []]]))).
% 0.38/1.37  ncf('1.1.1',plain,[-(neq(1979 ^ [], nil))],extension(1993 ^ 2)).
% 0.38/1.37  ncf('1.1.2',plain,[-(1979 ^ [] = 1985 ^ [])],extension(1989 ^ 2)).
% 0.38/1.37  ncf('1.1.3',plain,[-(nil = nil)],extension(2 ^ 2,bind([[_229429], [nil]]))).
% 0.38/1.37  %-----------------------------------------------------
% 0.38/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------