TSTP Solution File: SWC138+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWC138+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n013.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 12:12:39 EDT 2023

% Result   : Theorem 0.34s 1.37s
% Output   : Proof 0.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWC138+1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.12  % Command  : nanocop.sh %s %d
% 0.11/0.33  % Computer : n013.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Fri May 19 01:05:20 EDT 2023
% 0.11/0.33  % CPUTime  : 
% 0.34/1.37  
% 0.34/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.34/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/1.37  %-----------------------------------------------------
% 0.34/1.37  ncf(matrix, plain, [(1978 ^ _228979) ^ [] : [-(ssList(1976 ^ []))], (1981 ^ _228979) ^ [] : [-(ssList(1979 ^ []))], (1984 ^ _228979) ^ [] : [-(ssList(1982 ^ []))], (1987 ^ _228979) ^ [] : [-(ssList(1985 ^ []))], (1989 ^ _228979) ^ [] : [-(1979 ^ [] = 1985 ^ [])], (1991 ^ _228979) ^ [] : [-(1976 ^ [] = 1982 ^ [])], (1993 ^ _228979) ^ [] : [-(neq(1979 ^ [], nil))], (1995 ^ _228979) ^ [] : [neq(1985 ^ [], nil)], (246 ^ _228979) ^ [_236783, _236785, _236787, _236789] : [-(cons(_236789, _236785) = cons(_236787, _236783)), _236789 = _236787, _236785 = _236783], (256 ^ _228979) ^ [_237114, _237116] : [_237116 = _237114, -(hd(_237116) = hd(_237114))], (272 ^ _228979) ^ [_237671, _237673] : [_237673 = _237671, -(tl(_237673) = tl(_237671))], (262 ^ _228979) ^ [_237360, _237362, _237364, _237366] : [-(app(_237366, _237362) = app(_237364, _237360)), _237366 = _237364, _237362 = _237360], (2 ^ _228979) ^ [_229123] : [-(_229123 = _229123)], (4 ^ _228979) ^ [_229230, _229232] : [_229232 = _229230, -(_229230 = _229232)], (10 ^ _228979) ^ [_229434, _229436, _229438] : [-(_229438 = _229434), _229438 = _229436, _229436 = _229434], (20 ^ _228979) ^ [_229775, _229777, _229779, _229781] : [-(memberP(_229779, _229775)), memberP(_229781, _229777), _229781 = _229779, _229777 = _229775], (34 ^ _228979) ^ [_230191, _230193] : [-(singletonP(_230191)), _230193 = _230191, singletonP(_230193)], (44 ^ _228979) ^ [_230514, _230516, _230518, _230520] : [-(frontsegP(_230518, _230514)), frontsegP(_230520, _230516), _230520 = _230518, _230516 = _230514], (58 ^ _228979) ^ [_230958, _230960, _230962, _230964] : [-(rearsegP(_230962, _230958)), rearsegP(_230964, _230960), _230964 = _230962, _230960 = _230958], (72 ^ _228979) ^ [_231402, _231404, _231406, _231408] : [-(segmentP(_231406, _231402)), segmentP(_231408, _231404), _231408 = _231406, _231404 = _231402], (86 ^ _228979) ^ [_231818, _231820] : [-(cyclefreeP(_231818)), _231820 = _231818, cyclefreeP(_231820)], (96 ^ _228979) ^ [_232113, _232115] : [-(totalorderP(_232113)), _232115 = _232113, totalorderP(_232115)], (106 ^ _228979) ^ [_232408, _232410] : [-(strictorderP(_232408)), _232410 = _232408, strictorderP(_232410)], (116 ^ _228979) ^ [_232703, _232705] : [-(totalorderedP(_232703)), _232705 = _232703, totalorderedP(_232705)], (126 ^ _228979) ^ [_232998, _233000] : [-(strictorderedP(_232998)), _233000 = _232998, strictorderedP(_233000)], (136 ^ _228979) ^ [_233293, _233295] : [-(duplicatefreeP(_233293)), _233295 = _233293, duplicatefreeP(_233295)], (146 ^ _228979) ^ [_233588, _233590] : [-(equalelemsP(_233588)), _233590 = _233588, equalelemsP(_233590)], (156 ^ _228979) ^ [_233911, _233913, _233915, _233917] : [-(geq(_233915, _233911)), geq(_233917, _233913), _233917 = _233915, _233913 = _233911], (170 ^ _228979) ^ [_234355, _234357, _234359, _234361] : [-(lt(_234359, _234355)), lt(_234361, _234357), _234361 = _234359, _234357 = _234355], (184 ^ _228979) ^ [_234799, _234801, _234803, _234805] : [-(leq(_234803, _234799)), leq(_234805, _234801), _234805 = _234803, _234801 = _234799], (198 ^ _228979) ^ [_235215, _235217] : [-(ssItem(_235215)), _235217 = _235215, ssItem(_235217)], (208 ^ _228979) ^ [_235538, _235540, _235542, _235544] : [-(gt(_235542, _235538)), gt(_235544, _235540), _235544 = _235542, _235540 = _235538], (222 ^ _228979) ^ [_235954, _235956] : [-(ssList(_235954)), _235956 = _235954, ssList(_235956)], (232 ^ _228979) ^ [_236257, _236259, _236261, _236263] : [-(neq(_236261, _236257)), neq(_236263, _236259), _236263 = _236261, _236259 = _236257], (278 ^ _228979) ^ [_237893] : [ssItem(_237893), 281 ^ _228979 : [(282 ^ _228979) ^ [_238031] : [ssItem(_238031), 285 ^ _228979 : [(286 ^ _228979) ^ [] : [neq(_237893, _238031), _237893 = _238031], (292 ^ _228979) ^ [] : [-(_237893 = _238031), -(neq(_237893, _238031))]]]]], (299 ^ _228979) ^ [] : [-(ssItem(297 ^ []))], (302 ^ _228979) ^ [] : [-(ssItem(300 ^ []))], (304 ^ _228979) ^ [] : [297 ^ [] = 300 ^ []], (306 ^ _228979) ^ [_238744] : [ssList(_238744), 309 ^ _228979 : [(310 ^ _228979) ^ [_238906] : [ssItem(_238906), 313 ^ _228979 : [(314 ^ _228979) ^ [] : [memberP(_238744, _238906), 318 ^ _228979 : [(319 ^ _228979) ^ [] : [-(ssList(317 ^ [_238744, _238906]))], (322 ^ _228979) ^ [] : [-(ssList(320 ^ [_238744, _238906]))], (324 ^ _228979) ^ [] : [-(app(317 ^ [_238744, _238906], cons(_238906, 320 ^ [_238744, _238906])) = _238744)]]], (326 ^ _228979) ^ [] : [-(memberP(_238744, _238906)), 327 ^ _228979 : [(328 ^ _228979) ^ [_239554] : [ssList(_239554), 331 ^ _228979 : [(332 ^ _228979) ^ [_239702] : [ssList(_239702), app(_239554, cons(_238906, _239702)) = _238744]]]]]]]]], (340 ^ _228979) ^ [_239993] : [ssList(_239993), 343 ^ _228979 : [(344 ^ _228979) ^ [] : [singletonP(_239993), 348 ^ _228979 : [(349 ^ _228979) ^ [] : [-(ssItem(347 ^ [_239993]))], (351 ^ _228979) ^ [] : [-(cons(347 ^ [_239993], nil) = _239993)]]], (353 ^ _228979) ^ [] : [-(singletonP(_239993)), 354 ^ _228979 : [(355 ^ _228979) ^ [_240442] : [ssItem(_240442), cons(_240442, nil) = _239993]]]]], (363 ^ _228979) ^ [_240698] : [ssList(_240698), 366 ^ _228979 : [(367 ^ _228979) ^ [_240847] : [ssList(_240847), 370 ^ _228979 : [(371 ^ _228979) ^ [] : [frontsegP(_240698, _240847), 375 ^ _228979 : [(376 ^ _228979) ^ [] : [-(ssList(374 ^ [_240698, _240847]))], (378 ^ _228979) ^ [] : [-(app(_240847, 374 ^ [_240698, _240847]) = _240698)]]], (380 ^ _228979) ^ [] : [-(frontsegP(_240698, _240847)), 381 ^ _228979 : [(382 ^ _228979) ^ [_241322] : [ssList(_241322), app(_240847, _241322) = _240698]]]]]]], (390 ^ _228979) ^ [_241594] : [ssList(_241594), 393 ^ _228979 : [(394 ^ _228979) ^ [_241743] : [ssList(_241743), 397 ^ _228979 : [(398 ^ _228979) ^ [] : [rearsegP(_241594, _241743), 402 ^ _228979 : [(403 ^ _228979) ^ [] : [-(ssList(401 ^ [_241594, _241743]))], (405 ^ _228979) ^ [] : [-(app(401 ^ [_241594, _241743], _241743) = _241594)]]], (407 ^ _228979) ^ [] : [-(rearsegP(_241594, _241743)), 408 ^ _228979 : [(409 ^ _228979) ^ [_242218] : [ssList(_242218), app(_242218, _241743) = _241594]]]]]]], (417 ^ _228979) ^ [_242490] : [ssList(_242490), 420 ^ _228979 : [(421 ^ _228979) ^ [_242652] : [ssList(_242652), 424 ^ _228979 : [(425 ^ _228979) ^ [] : [segmentP(_242490, _242652), 429 ^ _228979 : [(430 ^ _228979) ^ [] : [-(ssList(428 ^ [_242490, _242652]))], (433 ^ _228979) ^ [] : [-(ssList(431 ^ [_242490, _242652]))], (435 ^ _228979) ^ [] : [-(app(app(428 ^ [_242490, _242652], _242652), 431 ^ [_242490, _242652]) = _242490)]]], (437 ^ _228979) ^ [] : [-(segmentP(_242490, _242652)), 438 ^ _228979 : [(439 ^ _228979) ^ [_243300] : [ssList(_243300), 442 ^ _228979 : [(443 ^ _228979) ^ [_243448] : [ssList(_243448), app(app(_243300, _242652), _243448) = _242490]]]]]]]]], (451 ^ _228979) ^ [_243739] : [ssList(_243739), 454 ^ _228979 : [(489 ^ _228979) ^ [] : [491 ^ _228979 : [(492 ^ _228979) ^ [] : [-(ssItem(490 ^ [_243739]))], (495 ^ _228979) ^ [] : [-(ssItem(493 ^ [_243739]))], (498 ^ _228979) ^ [] : [-(ssList(496 ^ [_243739]))], (501 ^ _228979) ^ [] : [-(ssList(499 ^ [_243739]))], (504 ^ _228979) ^ [] : [-(ssList(502 ^ [_243739]))], (506 ^ _228979) ^ [] : [-(app(app(496 ^ [_243739], cons(490 ^ [_243739], 499 ^ [_243739])), cons(493 ^ [_243739], 502 ^ [_243739])) = _243739)], (508 ^ _228979) ^ [] : [-(leq(490 ^ [_243739], 493 ^ [_243739]))], (510 ^ _228979) ^ [] : [-(leq(493 ^ [_243739], 490 ^ [_243739]))]], -(cyclefreeP(_243739))], (455 ^ _228979) ^ [] : [cyclefreeP(_243739), 458 ^ _228979 : [(459 ^ _228979) ^ [_244043] : [ssItem(_244043), 462 ^ _228979 : [(463 ^ _228979) ^ [_244235] : [ssItem(_244235), 466 ^ _228979 : [(467 ^ _228979) ^ [_244423] : [ssList(_244423), 470 ^ _228979 : [(471 ^ _228979) ^ [_244607] : [ssList(_244607), 474 ^ _228979 : [(475 ^ _228979) ^ [_244787] : [ssList(_244787), app(app(_244423, cons(_244043, _244607)), cons(_244235, _244787)) = _243739, leq(_244043, _244235), leq(_244235, _244043)]]]]]]]]]]]]], (514 ^ _228979) ^ [_246525] : [ssList(_246525), 517 ^ _228979 : [(552 ^ _228979) ^ [] : [554 ^ _228979 : [(555 ^ _228979) ^ [] : [-(ssItem(553 ^ [_246525]))], (558 ^ _228979) ^ [] : [-(ssItem(556 ^ [_246525]))], (561 ^ _228979) ^ [] : [-(ssList(559 ^ [_246525]))], (564 ^ _228979) ^ [] : [-(ssList(562 ^ [_246525]))], (567 ^ _228979) ^ [] : [-(ssList(565 ^ [_246525]))], (569 ^ _228979) ^ [] : [-(app(app(559 ^ [_246525], cons(553 ^ [_246525], 562 ^ [_246525])), cons(556 ^ [_246525], 565 ^ [_246525])) = _246525)], (571 ^ _228979) ^ [] : [leq(553 ^ [_246525], 556 ^ [_246525])], (573 ^ _228979) ^ [] : [leq(556 ^ [_246525], 553 ^ [_246525])]], -(totalorderP(_246525))], (518 ^ _228979) ^ [] : [totalorderP(_246525), 521 ^ _228979 : [(522 ^ _228979) ^ [_246827] : [ssItem(_246827), 525 ^ _228979 : [(526 ^ _228979) ^ [_247017] : [ssItem(_247017), 529 ^ _228979 : [(530 ^ _228979) ^ [_247203] : [ssList(_247203), 533 ^ _228979 : [(534 ^ _228979) ^ [_247385] : [ssList(_247385), 537 ^ _228979 : [(538 ^ _228979) ^ [_247563] : [ssList(_247563), app(app(_247203, cons(_246827, _247385)), cons(_247017, _247563)) = _246525, -(leq(_246827, _247017)), -(leq(_247017, _246827))]]]]]]]]]]]]], (577 ^ _228979) ^ [_249289] : [ssList(_249289), 580 ^ _228979 : [(615 ^ _228979) ^ [] : [617 ^ _228979 : [(618 ^ _228979) ^ [] : [-(ssItem(616 ^ [_249289]))], (621 ^ _228979) ^ [] : [-(ssItem(619 ^ [_249289]))], (624 ^ _228979) ^ [] : [-(ssList(622 ^ [_249289]))], (627 ^ _228979) ^ [] : [-(ssList(625 ^ [_249289]))], (630 ^ _228979) ^ [] : [-(ssList(628 ^ [_249289]))], (632 ^ _228979) ^ [] : [-(app(app(622 ^ [_249289], cons(616 ^ [_249289], 625 ^ [_249289])), cons(619 ^ [_249289], 628 ^ [_249289])) = _249289)], (634 ^ _228979) ^ [] : [lt(616 ^ [_249289], 619 ^ [_249289])], (636 ^ _228979) ^ [] : [lt(619 ^ [_249289], 616 ^ [_249289])]], -(strictorderP(_249289))], (581 ^ _228979) ^ [] : [strictorderP(_249289), 584 ^ _228979 : [(585 ^ _228979) ^ [_249591] : [ssItem(_249591), 588 ^ _228979 : [(589 ^ _228979) ^ [_249781] : [ssItem(_249781), 592 ^ _228979 : [(593 ^ _228979) ^ [_249967] : [ssList(_249967), 596 ^ _228979 : [(597 ^ _228979) ^ [_250149] : [ssList(_250149), 600 ^ _228979 : [(601 ^ _228979) ^ [_250327] : [ssList(_250327), app(app(_249967, cons(_249591, _250149)), cons(_249781, _250327)) = _249289, -(lt(_249591, _249781)), -(lt(_249781, _249591))]]]]]]]]]]]]], (640 ^ _228979) ^ [_252053] : [ssList(_252053), 643 ^ _228979 : [(674 ^ _228979) ^ [] : [676 ^ _228979 : [(677 ^ _228979) ^ [] : [-(ssItem(675 ^ [_252053]))], (680 ^ _228979) ^ [] : [-(ssItem(678 ^ [_252053]))], (683 ^ _228979) ^ [] : [-(ssList(681 ^ [_252053]))], (686 ^ _228979) ^ [] : [-(ssList(684 ^ [_252053]))], (689 ^ _228979) ^ [] : [-(ssList(687 ^ [_252053]))], (691 ^ _228979) ^ [] : [-(app(app(681 ^ [_252053], cons(675 ^ [_252053], 684 ^ [_252053])), cons(678 ^ [_252053], 687 ^ [_252053])) = _252053)], (693 ^ _228979) ^ [] : [leq(675 ^ [_252053], 678 ^ [_252053])]], -(totalorderedP(_252053))], (644 ^ _228979) ^ [] : [totalorderedP(_252053), 647 ^ _228979 : [(648 ^ _228979) ^ [_252349] : [ssItem(_252349), 651 ^ _228979 : [(652 ^ _228979) ^ [_252533] : [ssItem(_252533), 655 ^ _228979 : [(656 ^ _228979) ^ [_252713] : [ssList(_252713), 659 ^ _228979 : [(660 ^ _228979) ^ [_252889] : [ssList(_252889), 663 ^ _228979 : [(664 ^ _228979) ^ [_253061] : [ssList(_253061), app(app(_252713, cons(_252349, _252889)), cons(_252533, _253061)) = _252053, -(leq(_252349, _252533))]]]]]]]]]]]]], (697 ^ _228979) ^ [_254541] : [ssList(_254541), 700 ^ _228979 : [(731 ^ _228979) ^ [] : [733 ^ _228979 : [(734 ^ _228979) ^ [] : [-(ssItem(732 ^ [_254541]))], (737 ^ _228979) ^ [] : [-(ssItem(735 ^ [_254541]))], (740 ^ _228979) ^ [] : [-(ssList(738 ^ [_254541]))], (743 ^ _228979) ^ [] : [-(ssList(741 ^ [_254541]))], (746 ^ _228979) ^ [] : [-(ssList(744 ^ [_254541]))], (748 ^ _228979) ^ [] : [-(app(app(738 ^ [_254541], cons(732 ^ [_254541], 741 ^ [_254541])), cons(735 ^ [_254541], 744 ^ [_254541])) = _254541)], (750 ^ _228979) ^ [] : [lt(732 ^ [_254541], 735 ^ [_254541])]], -(strictorderedP(_254541))], (701 ^ _228979) ^ [] : [strictorderedP(_254541), 704 ^ _228979 : [(705 ^ _228979) ^ [_254837] : [ssItem(_254837), 708 ^ _228979 : [(709 ^ _228979) ^ [_255021] : [ssItem(_255021), 712 ^ _228979 : [(713 ^ _228979) ^ [_255201] : [ssList(_255201), 716 ^ _228979 : [(717 ^ _228979) ^ [_255377] : [ssList(_255377), 720 ^ _228979 : [(721 ^ _228979) ^ [_255549] : [ssList(_255549), app(app(_255201, cons(_254837, _255377)), cons(_255021, _255549)) = _254541, -(lt(_254837, _255021))]]]]]]]]]]]]], (754 ^ _228979) ^ [_257029] : [ssList(_257029), 757 ^ _228979 : [(788 ^ _228979) ^ [] : [790 ^ _228979 : [(791 ^ _228979) ^ [] : [-(ssItem(789 ^ [_257029]))], (794 ^ _228979) ^ [] : [-(ssItem(792 ^ [_257029]))], (797 ^ _228979) ^ [] : [-(ssList(795 ^ [_257029]))], (800 ^ _228979) ^ [] : [-(ssList(798 ^ [_257029]))], (803 ^ _228979) ^ [] : [-(ssList(801 ^ [_257029]))], (805 ^ _228979) ^ [] : [-(app(app(795 ^ [_257029], cons(789 ^ [_257029], 798 ^ [_257029])), cons(792 ^ [_257029], 801 ^ [_257029])) = _257029)], (807 ^ _228979) ^ [] : [-(789 ^ [_257029] = 792 ^ [_257029])]], -(duplicatefreeP(_257029))], (758 ^ _228979) ^ [] : [duplicatefreeP(_257029), 761 ^ _228979 : [(762 ^ _228979) ^ [_257327] : [ssItem(_257327), 765 ^ _228979 : [(766 ^ _228979) ^ [_257513] : [ssItem(_257513), 769 ^ _228979 : [(770 ^ _228979) ^ [_257695] : [ssList(_257695), 773 ^ _228979 : [(774 ^ _228979) ^ [_257873] : [ssList(_257873), 777 ^ _228979 : [(778 ^ _228979) ^ [_258047] : [ssList(_258047), app(app(_257695, cons(_257327, _257873)), cons(_257513, _258047)) = _257029, _257327 = _257513]]]]]]]]]]]]], (811 ^ _228979) ^ [_259539] : [ssList(_259539), 814 ^ _228979 : [(841 ^ _228979) ^ [] : [843 ^ _228979 : [(844 ^ _228979) ^ [] : [-(ssItem(842 ^ [_259539]))], (847 ^ _228979) ^ [] : [-(ssItem(845 ^ [_259539]))], (850 ^ _228979) ^ [] : [-(ssList(848 ^ [_259539]))], (853 ^ _228979) ^ [] : [-(ssList(851 ^ [_259539]))], (855 ^ _228979) ^ [] : [-(app(848 ^ [_259539], cons(842 ^ [_259539], cons(845 ^ [_259539], 851 ^ [_259539]))) = _259539)], (857 ^ _228979) ^ [] : [842 ^ [_259539] = 845 ^ [_259539]]], -(equalelemsP(_259539))], (815 ^ _228979) ^ [] : [equalelemsP(_259539), 818 ^ _228979 : [(819 ^ _228979) ^ [_259822] : [ssItem(_259822), 822 ^ _228979 : [(823 ^ _228979) ^ [_259993] : [ssItem(_259993), 826 ^ _228979 : [(827 ^ _228979) ^ [_260160] : [ssList(_260160), 830 ^ _228979 : [(831 ^ _228979) ^ [_260323] : [ssList(_260323), app(_260160, cons(_259822, cons(_259993, _260323))) = _259539, -(_259822 = _259993)]]]]]]]]]]], (861 ^ _228979) ^ [_261556] : [ssList(_261556), 864 ^ _228979 : [(865 ^ _228979) ^ [_261694] : [ssList(_261694), 868 ^ _228979 : [(869 ^ _228979) ^ [] : [neq(_261556, _261694), _261556 = _261694], (875 ^ _228979) ^ [] : [-(_261556 = _261694), -(neq(_261556, _261694))]]]]], (881 ^ _228979) ^ [_262147] : [ssList(_262147), 884 ^ _228979 : [(885 ^ _228979) ^ [_262279] : [ssItem(_262279), -(ssList(cons(_262279, _262147)))]]], (891 ^ _228979) ^ [] : [-(ssList(nil))], (893 ^ _228979) ^ [_262537] : [ssList(_262537), 896 ^ _228979 : [(897 ^ _228979) ^ [_262672] : [ssItem(_262672), cons(_262672, _262537) = _262537]]], (903 ^ _228979) ^ [_262880] : [ssList(_262880), 906 ^ _228979 : [(907 ^ _228979) ^ [_263048] : [ssList(_263048), 910 ^ _228979 : [(911 ^ _228979) ^ [_263212] : [ssItem(_263212), 914 ^ _228979 : [(915 ^ _228979) ^ [_263372] : [ssItem(_263372), cons(_263212, _262880) = cons(_263372, _263048), 922 ^ _228979 : [(923 ^ _228979) ^ [] : [-(_263212 = _263372)], (925 ^ _228979) ^ [] : [-(_263048 = _262880)]]]]]]]]], (927 ^ _228979) ^ [_263787] : [ssList(_263787), -(nil = _263787), 935 ^ _228979 : [(936 ^ _228979) ^ [] : [-(ssList(934 ^ [_263787]))], (939 ^ _228979) ^ [] : [-(ssItem(937 ^ [_263787]))], (941 ^ _228979) ^ [] : [-(cons(937 ^ [_263787], 934 ^ [_263787]) = _263787)]]], (943 ^ _228979) ^ [_264351] : [ssList(_264351), 946 ^ _228979 : [(947 ^ _228979) ^ [_264486] : [ssItem(_264486), nil = cons(_264486, _264351)]]], (953 ^ _228979) ^ [_264694] : [ssList(_264694), -(nil = _264694), -(ssItem(hd(_264694)))], (963 ^ _228979) ^ [_264972] : [ssList(_264972), 966 ^ _228979 : [(967 ^ _228979) ^ [_265107] : [ssItem(_265107), -(hd(cons(_265107, _264972)) = _265107)]]], (973 ^ _228979) ^ [_265318] : [ssList(_265318), -(nil = _265318), -(ssList(tl(_265318)))], (983 ^ _228979) ^ [_265596] : [ssList(_265596), 986 ^ _228979 : [(987 ^ _228979) ^ [_265731] : [ssItem(_265731), -(tl(cons(_265731, _265596)) = _265596)]]], (993 ^ _228979) ^ [_265942] : [ssList(_265942), 996 ^ _228979 : [(997 ^ _228979) ^ [_266074] : [ssList(_266074), -(ssList(app(_265942, _266074)))]]], (1003 ^ _228979) ^ [_266279] : [ssList(_266279), 1006 ^ _228979 : [(1007 ^ _228979) ^ [_266431] : [ssList(_266431), 1010 ^ _228979 : [(1011 ^ _228979) ^ [_266579] : [ssItem(_266579), -(cons(_266579, app(_266431, _266279)) = app(cons(_266579, _266431), _266279))]]]]], (1017 ^ _228979) ^ [_266817] : [ssList(_266817), -(app(nil, _266817) = _266817)], (1023 ^ _228979) ^ [_267011] : [ssItem(_267011), 1026 ^ _228979 : [(1027 ^ _228979) ^ [_267153] : [ssItem(_267153), -(_267011 = _267153), leq(_267011, _267153), leq(_267153, _267011)]]], (1041 ^ _228979) ^ [_267532] : [ssItem(_267532), 1044 ^ _228979 : [(1045 ^ _228979) ^ [_267684] : [ssItem(_267684), 1048 ^ _228979 : [(1049 ^ _228979) ^ [_267832] : [ssItem(_267832), -(leq(_267532, _267832)), leq(_267532, _267684), leq(_267684, _267832)]]]]], (1063 ^ _228979) ^ [_268232] : [ssItem(_268232), -(leq(_268232, _268232))], (1069 ^ _228979) ^ [_268420] : [ssItem(_268420), 1072 ^ _228979 : [(1073 ^ _228979) ^ [_268556] : [ssItem(_268556), 1076 ^ _228979 : [(1077 ^ _228979) ^ [] : [geq(_268420, _268556), -(leq(_268556, _268420))], (1083 ^ _228979) ^ [] : [leq(_268556, _268420), -(geq(_268420, _268556))]]]]], (1089 ^ _228979) ^ [_269007] : [ssItem(_269007), 1092 ^ _228979 : [(1093 ^ _228979) ^ [_269145] : [ssItem(_269145), lt(_269007, _269145), lt(_269145, _269007)]]], (1103 ^ _228979) ^ [_269436] : [ssItem(_269436), 1106 ^ _228979 : [(1107 ^ _228979) ^ [_269588] : [ssItem(_269588), 1110 ^ _228979 : [(1111 ^ _228979) ^ [_269736] : [ssItem(_269736), -(lt(_269436, _269736)), lt(_269436, _269588), lt(_269588, _269736)]]]]], (1125 ^ _228979) ^ [_270136] : [ssItem(_270136), 1128 ^ _228979 : [(1129 ^ _228979) ^ [_270272] : [ssItem(_270272), 1132 ^ _228979 : [(1133 ^ _228979) ^ [] : [gt(_270136, _270272), -(lt(_270272, _270136))], (1139 ^ _228979) ^ [] : [lt(_270272, _270136), -(gt(_270136, _270272))]]]]], (1145 ^ _228979) ^ [_270723] : [ssItem(_270723), 1148 ^ _228979 : [(1149 ^ _228979) ^ [_270878] : [ssList(_270878), 1152 ^ _228979 : [(1153 ^ _228979) ^ [_271029] : [ssList(_271029), 1156 ^ _228979 : [(1167 ^ _228979) ^ [] : [1168 ^ _228979 : [(1169 ^ _228979) ^ [] : [memberP(_270878, _270723)], (1171 ^ _228979) ^ [] : [memberP(_271029, _270723)]], -(memberP(app(_270878, _271029), _270723))], (1157 ^ _228979) ^ [] : [memberP(app(_270878, _271029), _270723), -(memberP(_270878, _270723)), -(memberP(_271029, _270723))]]]]]]], (1175 ^ _228979) ^ [_271676] : [ssItem(_271676), 1178 ^ _228979 : [(1179 ^ _228979) ^ [_271831] : [ssItem(_271831), 1182 ^ _228979 : [(1183 ^ _228979) ^ [_271982] : [ssList(_271982), 1186 ^ _228979 : [(1197 ^ _228979) ^ [] : [1198 ^ _228979 : [(1199 ^ _228979) ^ [] : [_271676 = _271831], (1201 ^ _228979) ^ [] : [memberP(_271982, _271676)]], -(memberP(cons(_271831, _271982), _271676))], (1187 ^ _228979) ^ [] : [memberP(cons(_271831, _271982), _271676), -(_271676 = _271831), -(memberP(_271982, _271676))]]]]]]], (1205 ^ _228979) ^ [_272629] : [ssItem(_272629), memberP(nil, _272629)], (1211 ^ _228979) ^ [] : [singletonP(nil)], (1213 ^ _228979) ^ [_272870] : [ssList(_272870), 1216 ^ _228979 : [(1217 ^ _228979) ^ [_273022] : [ssList(_273022), 1220 ^ _228979 : [(1221 ^ _228979) ^ [_273170] : [ssList(_273170), -(frontsegP(_272870, _273170)), frontsegP(_272870, _273022), frontsegP(_273022, _273170)]]]]], (1235 ^ _228979) ^ [_273570] : [ssList(_273570), 1238 ^ _228979 : [(1239 ^ _228979) ^ [_273712] : [ssList(_273712), -(_273570 = _273712), frontsegP(_273570, _273712), frontsegP(_273712, _273570)]]], (1253 ^ _228979) ^ [_274091] : [ssList(_274091), -(frontsegP(_274091, _274091))], (1259 ^ _228979) ^ [_274279] : [ssList(_274279), 1262 ^ _228979 : [(1263 ^ _228979) ^ [_274428] : [ssList(_274428), 1266 ^ _228979 : [(1267 ^ _228979) ^ [_274573] : [ssList(_274573), frontsegP(_274279, _274428), -(frontsegP(app(_274279, _274573), _274428))]]]]], (1277 ^ _228979) ^ [_274886] : [ssItem(_274886), 1280 ^ _228979 : [(1281 ^ _228979) ^ [_275054] : [ssItem(_275054), 1284 ^ _228979 : [(1285 ^ _228979) ^ [_275218] : [ssList(_275218), 1288 ^ _228979 : [(1289 ^ _228979) ^ [_275378] : [ssList(_275378), 1292 ^ _228979 : [(1293 ^ _228979) ^ [] : [frontsegP(cons(_274886, _275218), cons(_275054, _275378)), 1296 ^ _228979 : [(1297 ^ _228979) ^ [] : [-(_274886 = _275054)], (1299 ^ _228979) ^ [] : [-(frontsegP(_275218, _275378))]]], (1301 ^ _228979) ^ [] : [-(frontsegP(cons(_274886, _275218), cons(_275054, _275378))), _274886 = _275054, frontsegP(_275218, _275378)]]]]]]]]], (1311 ^ _228979) ^ [_276063] : [ssList(_276063), -(frontsegP(_276063, nil))], (1317 ^ _228979) ^ [_276251] : [ssList(_276251), 1320 ^ _228979 : [(1321 ^ _228979) ^ [] : [frontsegP(nil, _276251), -(nil = _276251)], (1327 ^ _228979) ^ [] : [nil = _276251, -(frontsegP(nil, _276251))]]], (1333 ^ _228979) ^ [_276679] : [ssList(_276679), 1336 ^ _228979 : [(1337 ^ _228979) ^ [_276831] : [ssList(_276831), 1340 ^ _228979 : [(1341 ^ _228979) ^ [_276979] : [ssList(_276979), -(rearsegP(_276679, _276979)), rearsegP(_276679, _276831), rearsegP(_276831, _276979)]]]]], (1355 ^ _228979) ^ [_277379] : [ssList(_277379), 1358 ^ _228979 : [(1359 ^ _228979) ^ [_277521] : [ssList(_277521), -(_277379 = _277521), rearsegP(_277379, _277521), rearsegP(_277521, _277379)]]], (1373 ^ _228979) ^ [_277900] : [ssList(_277900), -(rearsegP(_277900, _277900))], (1379 ^ _228979) ^ [_278088] : [ssList(_278088), 1382 ^ _228979 : [(1383 ^ _228979) ^ [_278237] : [ssList(_278237), 1386 ^ _228979 : [(1387 ^ _228979) ^ [_278382] : [ssList(_278382), rearsegP(_278088, _278237), -(rearsegP(app(_278382, _278088), _278237))]]]]], (1397 ^ _228979) ^ [_278695] : [ssList(_278695), -(rearsegP(_278695, nil))], (1403 ^ _228979) ^ [_278883] : [ssList(_278883), 1406 ^ _228979 : [(1407 ^ _228979) ^ [] : [rearsegP(nil, _278883), -(nil = _278883)], (1413 ^ _228979) ^ [] : [nil = _278883, -(rearsegP(nil, _278883))]]], (1419 ^ _228979) ^ [_279311] : [ssList(_279311), 1422 ^ _228979 : [(1423 ^ _228979) ^ [_279463] : [ssList(_279463), 1426 ^ _228979 : [(1427 ^ _228979) ^ [_279611] : [ssList(_279611), -(segmentP(_279311, _279611)), segmentP(_279311, _279463), segmentP(_279463, _279611)]]]]], (1441 ^ _228979) ^ [_280011] : [ssList(_280011), 1444 ^ _228979 : [(1445 ^ _228979) ^ [_280153] : [ssList(_280153), -(_280011 = _280153), segmentP(_280011, _280153), segmentP(_280153, _280011)]]], (1459 ^ _228979) ^ [_280532] : [ssList(_280532), -(segmentP(_280532, _280532))], (1465 ^ _228979) ^ [_280720] : [ssList(_280720), 1468 ^ _228979 : [(1469 ^ _228979) ^ [_280882] : [ssList(_280882), 1472 ^ _228979 : [(1473 ^ _228979) ^ [_281040] : [ssList(_281040), 1476 ^ _228979 : [(1477 ^ _228979) ^ [_281194] : [ssList(_281194), segmentP(_280720, _280882), -(segmentP(app(app(_281040, _280720), _281194), _280882))]]]]]]], (1487 ^ _228979) ^ [_281530] : [ssList(_281530), -(segmentP(_281530, nil))], (1493 ^ _228979) ^ [_281718] : [ssList(_281718), 1496 ^ _228979 : [(1497 ^ _228979) ^ [] : [segmentP(nil, _281718), -(nil = _281718)], (1503 ^ _228979) ^ [] : [nil = _281718, -(segmentP(nil, _281718))]]], (1509 ^ _228979) ^ [_282146] : [ssItem(_282146), -(cyclefreeP(cons(_282146, nil)))], (1515 ^ _228979) ^ [] : [-(cyclefreeP(nil))], (1517 ^ _228979) ^ [_282391] : [ssItem(_282391), -(totalorderP(cons(_282391, nil)))], (1523 ^ _228979) ^ [] : [-(totalorderP(nil))], (1525 ^ _228979) ^ [_282636] : [ssItem(_282636), -(strictorderP(cons(_282636, nil)))], (1531 ^ _228979) ^ [] : [-(strictorderP(nil))], (1533 ^ _228979) ^ [_282881] : [ssItem(_282881), -(totalorderedP(cons(_282881, nil)))], (1539 ^ _228979) ^ [] : [-(totalorderedP(nil))], (1541 ^ _228979) ^ [_283126] : [ssItem(_283126), 1544 ^ _228979 : [(1545 ^ _228979) ^ [_283285] : [ssList(_283285), 1548 ^ _228979 : [(1549 ^ _228979) ^ [] : [totalorderedP(cons(_283126, _283285)), -(nil = _283285), 1556 ^ _228979 : [(1557 ^ _228979) ^ [] : [nil = _283285], (1559 ^ _228979) ^ [] : [-(totalorderedP(_283285))], (1561 ^ _228979) ^ [] : [-(leq(_283126, hd(_283285)))]]], (1563 ^ _228979) ^ [] : [-(totalorderedP(cons(_283126, _283285))), 1564 ^ _228979 : [(1565 ^ _228979) ^ [] : [nil = _283285], (1567 ^ _228979) ^ [] : [-(nil = _283285), totalorderedP(_283285), leq(_283126, hd(_283285))]]]]]]], (1579 ^ _228979) ^ [_284220] : [ssItem(_284220), -(strictorderedP(cons(_284220, nil)))], (1585 ^ _228979) ^ [] : [-(strictorderedP(nil))], (1587 ^ _228979) ^ [_284465] : [ssItem(_284465), 1590 ^ _228979 : [(1591 ^ _228979) ^ [_284624] : [ssList(_284624), 1594 ^ _228979 : [(1595 ^ _228979) ^ [] : [strictorderedP(cons(_284465, _284624)), -(nil = _284624), 1602 ^ _228979 : [(1603 ^ _228979) ^ [] : [nil = _284624], (1605 ^ _228979) ^ [] : [-(strictorderedP(_284624))], (1607 ^ _228979) ^ [] : [-(lt(_284465, hd(_284624)))]]], (1609 ^ _228979) ^ [] : [-(strictorderedP(cons(_284465, _284624))), 1610 ^ _228979 : [(1611 ^ _228979) ^ [] : [nil = _284624], (1613 ^ _228979) ^ [] : [-(nil = _284624), strictorderedP(_284624), lt(_284465, hd(_284624))]]]]]]], (1625 ^ _228979) ^ [_285559] : [ssItem(_285559), -(duplicatefreeP(cons(_285559, nil)))], (1631 ^ _228979) ^ [] : [-(duplicatefreeP(nil))], (1633 ^ _228979) ^ [_285804] : [ssItem(_285804), -(equalelemsP(cons(_285804, nil)))], (1639 ^ _228979) ^ [] : [-(equalelemsP(nil))], (1641 ^ _228979) ^ [_286049] : [ssList(_286049), -(nil = _286049), 1649 ^ _228979 : [(1650 ^ _228979) ^ [] : [-(ssItem(1648 ^ [_286049]))], (1652 ^ _228979) ^ [] : [-(hd(_286049) = 1648 ^ [_286049])]]], (1654 ^ _228979) ^ [_286463] : [ssList(_286463), -(nil = _286463), 1662 ^ _228979 : [(1663 ^ _228979) ^ [] : [-(ssList(1661 ^ [_286463]))], (1665 ^ _228979) ^ [] : [-(tl(_286463) = 1661 ^ [_286463])]]], (1667 ^ _228979) ^ [_286877] : [ssList(_286877), 1670 ^ _228979 : [(1671 ^ _228979) ^ [_287043] : [ssList(_287043), -(_287043 = _286877), -(nil = _287043), -(nil = _286877), hd(_287043) = hd(_286877), tl(_287043) = tl(_286877)]]], (1693 ^ _228979) ^ [_287622] : [ssList(_287622), -(nil = _287622), -(cons(hd(_287622), tl(_287622)) = _287622)], (1703 ^ _228979) ^ [_287912] : [ssList(_287912), 1706 ^ _228979 : [(1707 ^ _228979) ^ [_288064] : [ssList(_288064), 1710 ^ _228979 : [(1711 ^ _228979) ^ [_288212] : [ssList(_288212), app(_288212, _288064) = app(_287912, _288064), -(_288212 = _287912)]]]]], (1721 ^ _228979) ^ [_288531] : [ssList(_288531), 1724 ^ _228979 : [(1725 ^ _228979) ^ [_288683] : [ssList(_288683), 1728 ^ _228979 : [(1729 ^ _228979) ^ [_288831] : [ssList(_288831), app(_288683, _288831) = app(_288683, _288531), -(_288831 = _288531)]]]]], (1739 ^ _228979) ^ [_289150] : [ssList(_289150), 1742 ^ _228979 : [(1743 ^ _228979) ^ [_289289] : [ssItem(_289289), -(cons(_289289, _289150) = app(cons(_289289, nil), _289150))]]], (1749 ^ _228979) ^ [_289508] : [ssList(_289508), 1752 ^ _228979 : [(1753 ^ _228979) ^ [_289660] : [ssList(_289660), 1756 ^ _228979 : [(1757 ^ _228979) ^ [_289808] : [ssList(_289808), -(app(app(_289508, _289660), _289808) = app(_289508, app(_289660, _289808)))]]]]], (1763 ^ _228979) ^ [_290046] : [ssList(_290046), 1766 ^ _228979 : [(1767 ^ _228979) ^ [_290191] : [ssList(_290191), 1770 ^ _228979 : [(1771 ^ _228979) ^ [] : [nil = app(_290046, _290191), 1774 ^ _228979 : [(1775 ^ _228979) ^ [] : [-(nil = _290191)], (1777 ^ _228979) ^ [] : [-(nil = _290046)]]], (1779 ^ _228979) ^ [] : [-(nil = app(_290046, _290191)), nil = _290191, nil = _290046]]]]], (1789 ^ _228979) ^ [_290809] : [ssList(_290809), -(app(_290809, nil) = _290809)], (1795 ^ _228979) ^ [_291003] : [ssList(_291003), 1798 ^ _228979 : [(1799 ^ _228979) ^ [_291148] : [ssList(_291148), -(nil = _291003), -(hd(app(_291003, _291148)) = hd(_291003))]]], (1809 ^ _228979) ^ [_291455] : [ssList(_291455), 1812 ^ _228979 : [(1813 ^ _228979) ^ [_291603] : [ssList(_291603), -(nil = _291455), -(tl(app(_291455, _291603)) = app(tl(_291455), _291603))]]], (1823 ^ _228979) ^ [_291916] : [ssItem(_291916), 1826 ^ _228979 : [(1827 ^ _228979) ^ [_292058] : [ssItem(_292058), -(_291916 = _292058), geq(_291916, _292058), geq(_292058, _291916)]]], (1841 ^ _228979) ^ [_292437] : [ssItem(_292437), 1844 ^ _228979 : [(1845 ^ _228979) ^ [_292589] : [ssItem(_292589), 1848 ^ _228979 : [(1849 ^ _228979) ^ [_292737] : [ssItem(_292737), -(geq(_292437, _292737)), geq(_292437, _292589), geq(_292589, _292737)]]]]], (1863 ^ _228979) ^ [_293137] : [ssItem(_293137), -(geq(_293137, _293137))], (1869 ^ _228979) ^ [_293325] : [ssItem(_293325), lt(_293325, _293325)], (1875 ^ _228979) ^ [_293514] : [ssItem(_293514), 1878 ^ _228979 : [(1879 ^ _228979) ^ [_293666] : [ssItem(_293666), 1882 ^ _228979 : [(1883 ^ _228979) ^ [_293814] : [ssItem(_293814), -(lt(_293514, _293814)), leq(_293514, _293666), lt(_293666, _293814)]]]]], (1897 ^ _228979) ^ [_294214] : [ssItem(_294214), 1900 ^ _228979 : [(1901 ^ _228979) ^ [_294356] : [ssItem(_294356), leq(_294214, _294356), -(_294214 = _294356), -(lt(_294214, _294356))]]], (1915 ^ _228979) ^ [_294736] : [ssItem(_294736), 1918 ^ _228979 : [(1919 ^ _228979) ^ [_294880] : [ssItem(_294880), 1922 ^ _228979 : [(1923 ^ _228979) ^ [] : [lt(_294736, _294880), 1926 ^ _228979 : [(1927 ^ _228979) ^ [] : [_294736 = _294880], (1929 ^ _228979) ^ [] : [-(leq(_294736, _294880))]]], (1931 ^ _228979) ^ [] : [-(lt(_294736, _294880)), -(_294736 = _294880), leq(_294736, _294880)]]]]], (1941 ^ _228979) ^ [_295491] : [ssItem(_295491), 1944 ^ _228979 : [(1945 ^ _228979) ^ [_295629] : [ssItem(_295629), gt(_295491, _295629), gt(_295629, _295491)]]], (1955 ^ _228979) ^ [_295900] : [ssItem(_295900), 1958 ^ _228979 : [(1959 ^ _228979) ^ [_296052] : [ssItem(_296052), 1962 ^ _228979 : [(1963 ^ _228979) ^ [_296200] : [ssItem(_296200), -(gt(_295900, _296200)), gt(_295900, _296052), gt(_296052, _296200)]]]]]], input).
% 0.34/1.37  ncf('1',plain,[neq(1985 ^ [], nil)],start(1995 ^ 0)).
% 0.34/1.37  ncf('1.1',plain,[-(neq(1985 ^ [], nil)), neq(1979 ^ [], nil), 1979 ^ [] = 1985 ^ [], nil = nil],extension(232 ^ 1,bind([[_236257, _236259, _236261, _236263], [nil, nil, 1985 ^ [], 1979 ^ []]]))).
% 0.34/1.37  ncf('1.1.1',plain,[-(neq(1979 ^ [], nil))],extension(1993 ^ 2)).
% 0.34/1.37  ncf('1.1.2',plain,[-(1979 ^ [] = 1985 ^ [])],extension(1989 ^ 2)).
% 0.34/1.37  ncf('1.1.3',plain,[-(nil = nil)],extension(2 ^ 2,bind([[_229123], [nil]]))).
% 0.34/1.37  %-----------------------------------------------------
% 0.34/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------