TSTP Solution File: SWC134+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SWC134+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n015.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 12:12:38 EDT 2023
% Result : Theorem 14.22s 14.82s
% Output : Proof 14.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC134+1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n015.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 01:42:22 EDT 2023
% 0.12/0.33 % CPUTime :
% 14.22/14.82
% 14.22/14.82 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 14.22/14.82 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.22/14.82 %-----------------------------------------------------
% 14.22/14.82 ncf(matrix, plain, [(1978 ^ _230446) ^ [] : [-(ssList(1976 ^ []))], (1981 ^ _230446) ^ [] : [-(ssList(1979 ^ []))], (1984 ^ _230446) ^ [] : [-(ssList(1982 ^ []))], (1987 ^ _230446) ^ [] : [-(ssList(1985 ^ []))], (1989 ^ _230446) ^ [] : [-(1979 ^ [] = 1985 ^ [])], (1991 ^ _230446) ^ [] : [-(1976 ^ [] = 1982 ^ [])], (1993 ^ _230446) ^ [] : [neq(1985 ^ [], nil)], (1995 ^ _230446) ^ [] : [cyclefreeP(1979 ^ [])], (246 ^ _230446) ^ [_238250, _238252, _238254, _238256] : [-(cons(_238256, _238252) = cons(_238254, _238250)), _238256 = _238254, _238252 = _238250], (256 ^ _230446) ^ [_238581, _238583] : [_238583 = _238581, -(hd(_238583) = hd(_238581))], (272 ^ _230446) ^ [_239138, _239140] : [_239140 = _239138, -(tl(_239140) = tl(_239138))], (262 ^ _230446) ^ [_238827, _238829, _238831, _238833] : [-(app(_238833, _238829) = app(_238831, _238827)), _238833 = _238831, _238829 = _238827], (2 ^ _230446) ^ [_230590] : [-(_230590 = _230590)], (4 ^ _230446) ^ [_230697, _230699] : [_230699 = _230697, -(_230697 = _230699)], (10 ^ _230446) ^ [_230901, _230903, _230905] : [-(_230905 = _230901), _230905 = _230903, _230903 = _230901], (20 ^ _230446) ^ [_231242, _231244, _231246, _231248] : [-(memberP(_231246, _231242)), memberP(_231248, _231244), _231248 = _231246, _231244 = _231242], (34 ^ _230446) ^ [_231658, _231660] : [-(singletonP(_231658)), _231660 = _231658, singletonP(_231660)], (44 ^ _230446) ^ [_231981, _231983, _231985, _231987] : [-(frontsegP(_231985, _231981)), frontsegP(_231987, _231983), _231987 = _231985, _231983 = _231981], (58 ^ _230446) ^ [_232425, _232427, _232429, _232431] : [-(rearsegP(_232429, _232425)), rearsegP(_232431, _232427), _232431 = _232429, _232427 = _232425], (72 ^ _230446) ^ [_232869, _232871, _232873, _232875] : [-(segmentP(_232873, _232869)), segmentP(_232875, _232871), _232875 = _232873, _232871 = _232869], (86 ^ _230446) ^ [_233285, _233287] : [-(totalorderP(_233285)), _233287 = _233285, totalorderP(_233287)], (96 ^ _230446) ^ [_233580, _233582] : [-(strictorderP(_233580)), _233582 = _233580, strictorderP(_233582)], (106 ^ _230446) ^ [_233875, _233877] : [-(totalorderedP(_233875)), _233877 = _233875, totalorderedP(_233877)], (116 ^ _230446) ^ [_234170, _234172] : [-(strictorderedP(_234170)), _234172 = _234170, strictorderedP(_234172)], (126 ^ _230446) ^ [_234465, _234467] : [-(duplicatefreeP(_234465)), _234467 = _234465, duplicatefreeP(_234467)], (136 ^ _230446) ^ [_234760, _234762] : [-(equalelemsP(_234760)), _234762 = _234760, equalelemsP(_234762)], (146 ^ _230446) ^ [_235083, _235085, _235087, _235089] : [-(geq(_235087, _235083)), geq(_235089, _235085), _235089 = _235087, _235085 = _235083], (160 ^ _230446) ^ [_235527, _235529, _235531, _235533] : [-(lt(_235531, _235527)), lt(_235533, _235529), _235533 = _235531, _235529 = _235527], (174 ^ _230446) ^ [_235971, _235973, _235975, _235977] : [-(leq(_235975, _235971)), leq(_235977, _235973), _235977 = _235975, _235973 = _235971], (188 ^ _230446) ^ [_236387, _236389] : [-(ssItem(_236387)), _236389 = _236387, ssItem(_236389)], (198 ^ _230446) ^ [_236710, _236712, _236714, _236716] : [-(gt(_236714, _236710)), gt(_236716, _236712), _236716 = _236714, _236712 = _236710], (212 ^ _230446) ^ [_237126, _237128] : [-(ssList(_237126)), _237128 = _237126, ssList(_237128)], (236 ^ _230446) ^ [_237845, _237847] : [-(cyclefreeP(_237845)), _237847 = _237845, cyclefreeP(_237847)], (222 ^ _230446) ^ [_237449, _237451, _237453, _237455] : [-(neq(_237453, _237449)), neq(_237455, _237451), _237455 = _237453, _237451 = _237449], (278 ^ _230446) ^ [_239360] : [ssItem(_239360), 281 ^ _230446 : [(282 ^ _230446) ^ [_239498] : [ssItem(_239498), 285 ^ _230446 : [(286 ^ _230446) ^ [] : [neq(_239360, _239498), _239360 = _239498], (292 ^ _230446) ^ [] : [-(_239360 = _239498), -(neq(_239360, _239498))]]]]], (299 ^ _230446) ^ [] : [-(ssItem(297 ^ []))], (302 ^ _230446) ^ [] : [-(ssItem(300 ^ []))], (304 ^ _230446) ^ [] : [297 ^ [] = 300 ^ []], (306 ^ _230446) ^ [_240211] : [ssList(_240211), 309 ^ _230446 : [(310 ^ _230446) ^ [_240373] : [ssItem(_240373), 313 ^ _230446 : [(314 ^ _230446) ^ [] : [memberP(_240211, _240373), 318 ^ _230446 : [(319 ^ _230446) ^ [] : [-(ssList(317 ^ [_240211, _240373]))], (322 ^ _230446) ^ [] : [-(ssList(320 ^ [_240211, _240373]))], (324 ^ _230446) ^ [] : [-(app(317 ^ [_240211, _240373], cons(_240373, 320 ^ [_240211, _240373])) = _240211)]]], (326 ^ _230446) ^ [] : [-(memberP(_240211, _240373)), 327 ^ _230446 : [(328 ^ _230446) ^ [_241021] : [ssList(_241021), 331 ^ _230446 : [(332 ^ _230446) ^ [_241169] : [ssList(_241169), app(_241021, cons(_240373, _241169)) = _240211]]]]]]]]], (340 ^ _230446) ^ [_241460] : [ssList(_241460), 343 ^ _230446 : [(344 ^ _230446) ^ [] : [singletonP(_241460), 348 ^ _230446 : [(349 ^ _230446) ^ [] : [-(ssItem(347 ^ [_241460]))], (351 ^ _230446) ^ [] : [-(cons(347 ^ [_241460], nil) = _241460)]]], (353 ^ _230446) ^ [] : [-(singletonP(_241460)), 354 ^ _230446 : [(355 ^ _230446) ^ [_241909] : [ssItem(_241909), cons(_241909, nil) = _241460]]]]], (363 ^ _230446) ^ [_242165] : [ssList(_242165), 366 ^ _230446 : [(367 ^ _230446) ^ [_242314] : [ssList(_242314), 370 ^ _230446 : [(371 ^ _230446) ^ [] : [frontsegP(_242165, _242314), 375 ^ _230446 : [(376 ^ _230446) ^ [] : [-(ssList(374 ^ [_242165, _242314]))], (378 ^ _230446) ^ [] : [-(app(_242314, 374 ^ [_242165, _242314]) = _242165)]]], (380 ^ _230446) ^ [] : [-(frontsegP(_242165, _242314)), 381 ^ _230446 : [(382 ^ _230446) ^ [_242789] : [ssList(_242789), app(_242314, _242789) = _242165]]]]]]], (390 ^ _230446) ^ [_243061] : [ssList(_243061), 393 ^ _230446 : [(394 ^ _230446) ^ [_243210] : [ssList(_243210), 397 ^ _230446 : [(398 ^ _230446) ^ [] : [rearsegP(_243061, _243210), 402 ^ _230446 : [(403 ^ _230446) ^ [] : [-(ssList(401 ^ [_243061, _243210]))], (405 ^ _230446) ^ [] : [-(app(401 ^ [_243061, _243210], _243210) = _243061)]]], (407 ^ _230446) ^ [] : [-(rearsegP(_243061, _243210)), 408 ^ _230446 : [(409 ^ _230446) ^ [_243685] : [ssList(_243685), app(_243685, _243210) = _243061]]]]]]], (417 ^ _230446) ^ [_243957] : [ssList(_243957), 420 ^ _230446 : [(421 ^ _230446) ^ [_244119] : [ssList(_244119), 424 ^ _230446 : [(425 ^ _230446) ^ [] : [segmentP(_243957, _244119), 429 ^ _230446 : [(430 ^ _230446) ^ [] : [-(ssList(428 ^ [_243957, _244119]))], (433 ^ _230446) ^ [] : [-(ssList(431 ^ [_243957, _244119]))], (435 ^ _230446) ^ [] : [-(app(app(428 ^ [_243957, _244119], _244119), 431 ^ [_243957, _244119]) = _243957)]]], (437 ^ _230446) ^ [] : [-(segmentP(_243957, _244119)), 438 ^ _230446 : [(439 ^ _230446) ^ [_244767] : [ssList(_244767), 442 ^ _230446 : [(443 ^ _230446) ^ [_244915] : [ssList(_244915), app(app(_244767, _244119), _244915) = _243957]]]]]]]]], (451 ^ _230446) ^ [_245206] : [ssList(_245206), 454 ^ _230446 : [(489 ^ _230446) ^ [] : [491 ^ _230446 : [(492 ^ _230446) ^ [] : [-(ssItem(490 ^ [_245206]))], (495 ^ _230446) ^ [] : [-(ssItem(493 ^ [_245206]))], (498 ^ _230446) ^ [] : [-(ssList(496 ^ [_245206]))], (501 ^ _230446) ^ [] : [-(ssList(499 ^ [_245206]))], (504 ^ _230446) ^ [] : [-(ssList(502 ^ [_245206]))], (506 ^ _230446) ^ [] : [-(app(app(496 ^ [_245206], cons(490 ^ [_245206], 499 ^ [_245206])), cons(493 ^ [_245206], 502 ^ [_245206])) = _245206)], (508 ^ _230446) ^ [] : [-(leq(490 ^ [_245206], 493 ^ [_245206]))], (510 ^ _230446) ^ [] : [-(leq(493 ^ [_245206], 490 ^ [_245206]))]], -(cyclefreeP(_245206))], (455 ^ _230446) ^ [] : [cyclefreeP(_245206), 458 ^ _230446 : [(459 ^ _230446) ^ [_245510] : [ssItem(_245510), 462 ^ _230446 : [(463 ^ _230446) ^ [_245702] : [ssItem(_245702), 466 ^ _230446 : [(467 ^ _230446) ^ [_245890] : [ssList(_245890), 470 ^ _230446 : [(471 ^ _230446) ^ [_246074] : [ssList(_246074), 474 ^ _230446 : [(475 ^ _230446) ^ [_246254] : [ssList(_246254), app(app(_245890, cons(_245510, _246074)), cons(_245702, _246254)) = _245206, leq(_245510, _245702), leq(_245702, _245510)]]]]]]]]]]]]], (514 ^ _230446) ^ [_247992] : [ssList(_247992), 517 ^ _230446 : [(552 ^ _230446) ^ [] : [554 ^ _230446 : [(555 ^ _230446) ^ [] : [-(ssItem(553 ^ [_247992]))], (558 ^ _230446) ^ [] : [-(ssItem(556 ^ [_247992]))], (561 ^ _230446) ^ [] : [-(ssList(559 ^ [_247992]))], (564 ^ _230446) ^ [] : [-(ssList(562 ^ [_247992]))], (567 ^ _230446) ^ [] : [-(ssList(565 ^ [_247992]))], (569 ^ _230446) ^ [] : [-(app(app(559 ^ [_247992], cons(553 ^ [_247992], 562 ^ [_247992])), cons(556 ^ [_247992], 565 ^ [_247992])) = _247992)], (571 ^ _230446) ^ [] : [leq(553 ^ [_247992], 556 ^ [_247992])], (573 ^ _230446) ^ [] : [leq(556 ^ [_247992], 553 ^ [_247992])]], -(totalorderP(_247992))], (518 ^ _230446) ^ [] : [totalorderP(_247992), 521 ^ _230446 : [(522 ^ _230446) ^ [_248294] : [ssItem(_248294), 525 ^ _230446 : [(526 ^ _230446) ^ [_248484] : [ssItem(_248484), 529 ^ _230446 : [(530 ^ _230446) ^ [_248670] : [ssList(_248670), 533 ^ _230446 : [(534 ^ _230446) ^ [_248852] : [ssList(_248852), 537 ^ _230446 : [(538 ^ _230446) ^ [_249030] : [ssList(_249030), app(app(_248670, cons(_248294, _248852)), cons(_248484, _249030)) = _247992, -(leq(_248294, _248484)), -(leq(_248484, _248294))]]]]]]]]]]]]], (577 ^ _230446) ^ [_250756] : [ssList(_250756), 580 ^ _230446 : [(615 ^ _230446) ^ [] : [617 ^ _230446 : [(618 ^ _230446) ^ [] : [-(ssItem(616 ^ [_250756]))], (621 ^ _230446) ^ [] : [-(ssItem(619 ^ [_250756]))], (624 ^ _230446) ^ [] : [-(ssList(622 ^ [_250756]))], (627 ^ _230446) ^ [] : [-(ssList(625 ^ [_250756]))], (630 ^ _230446) ^ [] : [-(ssList(628 ^ [_250756]))], (632 ^ _230446) ^ [] : [-(app(app(622 ^ [_250756], cons(616 ^ [_250756], 625 ^ [_250756])), cons(619 ^ [_250756], 628 ^ [_250756])) = _250756)], (634 ^ _230446) ^ [] : [lt(616 ^ [_250756], 619 ^ [_250756])], (636 ^ _230446) ^ [] : [lt(619 ^ [_250756], 616 ^ [_250756])]], -(strictorderP(_250756))], (581 ^ _230446) ^ [] : [strictorderP(_250756), 584 ^ _230446 : [(585 ^ _230446) ^ [_251058] : [ssItem(_251058), 588 ^ _230446 : [(589 ^ _230446) ^ [_251248] : [ssItem(_251248), 592 ^ _230446 : [(593 ^ _230446) ^ [_251434] : [ssList(_251434), 596 ^ _230446 : [(597 ^ _230446) ^ [_251616] : [ssList(_251616), 600 ^ _230446 : [(601 ^ _230446) ^ [_251794] : [ssList(_251794), app(app(_251434, cons(_251058, _251616)), cons(_251248, _251794)) = _250756, -(lt(_251058, _251248)), -(lt(_251248, _251058))]]]]]]]]]]]]], (640 ^ _230446) ^ [_253520] : [ssList(_253520), 643 ^ _230446 : [(674 ^ _230446) ^ [] : [676 ^ _230446 : [(677 ^ _230446) ^ [] : [-(ssItem(675 ^ [_253520]))], (680 ^ _230446) ^ [] : [-(ssItem(678 ^ [_253520]))], (683 ^ _230446) ^ [] : [-(ssList(681 ^ [_253520]))], (686 ^ _230446) ^ [] : [-(ssList(684 ^ [_253520]))], (689 ^ _230446) ^ [] : [-(ssList(687 ^ [_253520]))], (691 ^ _230446) ^ [] : [-(app(app(681 ^ [_253520], cons(675 ^ [_253520], 684 ^ [_253520])), cons(678 ^ [_253520], 687 ^ [_253520])) = _253520)], (693 ^ _230446) ^ [] : [leq(675 ^ [_253520], 678 ^ [_253520])]], -(totalorderedP(_253520))], (644 ^ _230446) ^ [] : [totalorderedP(_253520), 647 ^ _230446 : [(648 ^ _230446) ^ [_253816] : [ssItem(_253816), 651 ^ _230446 : [(652 ^ _230446) ^ [_254000] : [ssItem(_254000), 655 ^ _230446 : [(656 ^ _230446) ^ [_254180] : [ssList(_254180), 659 ^ _230446 : [(660 ^ _230446) ^ [_254356] : [ssList(_254356), 663 ^ _230446 : [(664 ^ _230446) ^ [_254528] : [ssList(_254528), app(app(_254180, cons(_253816, _254356)), cons(_254000, _254528)) = _253520, -(leq(_253816, _254000))]]]]]]]]]]]]], (697 ^ _230446) ^ [_256008] : [ssList(_256008), 700 ^ _230446 : [(731 ^ _230446) ^ [] : [733 ^ _230446 : [(734 ^ _230446) ^ [] : [-(ssItem(732 ^ [_256008]))], (737 ^ _230446) ^ [] : [-(ssItem(735 ^ [_256008]))], (740 ^ _230446) ^ [] : [-(ssList(738 ^ [_256008]))], (743 ^ _230446) ^ [] : [-(ssList(741 ^ [_256008]))], (746 ^ _230446) ^ [] : [-(ssList(744 ^ [_256008]))], (748 ^ _230446) ^ [] : [-(app(app(738 ^ [_256008], cons(732 ^ [_256008], 741 ^ [_256008])), cons(735 ^ [_256008], 744 ^ [_256008])) = _256008)], (750 ^ _230446) ^ [] : [lt(732 ^ [_256008], 735 ^ [_256008])]], -(strictorderedP(_256008))], (701 ^ _230446) ^ [] : [strictorderedP(_256008), 704 ^ _230446 : [(705 ^ _230446) ^ [_256304] : [ssItem(_256304), 708 ^ _230446 : [(709 ^ _230446) ^ [_256488] : [ssItem(_256488), 712 ^ _230446 : [(713 ^ _230446) ^ [_256668] : [ssList(_256668), 716 ^ _230446 : [(717 ^ _230446) ^ [_256844] : [ssList(_256844), 720 ^ _230446 : [(721 ^ _230446) ^ [_257016] : [ssList(_257016), app(app(_256668, cons(_256304, _256844)), cons(_256488, _257016)) = _256008, -(lt(_256304, _256488))]]]]]]]]]]]]], (754 ^ _230446) ^ [_258496] : [ssList(_258496), 757 ^ _230446 : [(788 ^ _230446) ^ [] : [790 ^ _230446 : [(791 ^ _230446) ^ [] : [-(ssItem(789 ^ [_258496]))], (794 ^ _230446) ^ [] : [-(ssItem(792 ^ [_258496]))], (797 ^ _230446) ^ [] : [-(ssList(795 ^ [_258496]))], (800 ^ _230446) ^ [] : [-(ssList(798 ^ [_258496]))], (803 ^ _230446) ^ [] : [-(ssList(801 ^ [_258496]))], (805 ^ _230446) ^ [] : [-(app(app(795 ^ [_258496], cons(789 ^ [_258496], 798 ^ [_258496])), cons(792 ^ [_258496], 801 ^ [_258496])) = _258496)], (807 ^ _230446) ^ [] : [-(789 ^ [_258496] = 792 ^ [_258496])]], -(duplicatefreeP(_258496))], (758 ^ _230446) ^ [] : [duplicatefreeP(_258496), 761 ^ _230446 : [(762 ^ _230446) ^ [_258794] : [ssItem(_258794), 765 ^ _230446 : [(766 ^ _230446) ^ [_258980] : [ssItem(_258980), 769 ^ _230446 : [(770 ^ _230446) ^ [_259162] : [ssList(_259162), 773 ^ _230446 : [(774 ^ _230446) ^ [_259340] : [ssList(_259340), 777 ^ _230446 : [(778 ^ _230446) ^ [_259514] : [ssList(_259514), app(app(_259162, cons(_258794, _259340)), cons(_258980, _259514)) = _258496, _258794 = _258980]]]]]]]]]]]]], (811 ^ _230446) ^ [_261006] : [ssList(_261006), 814 ^ _230446 : [(841 ^ _230446) ^ [] : [843 ^ _230446 : [(844 ^ _230446) ^ [] : [-(ssItem(842 ^ [_261006]))], (847 ^ _230446) ^ [] : [-(ssItem(845 ^ [_261006]))], (850 ^ _230446) ^ [] : [-(ssList(848 ^ [_261006]))], (853 ^ _230446) ^ [] : [-(ssList(851 ^ [_261006]))], (855 ^ _230446) ^ [] : [-(app(848 ^ [_261006], cons(842 ^ [_261006], cons(845 ^ [_261006], 851 ^ [_261006]))) = _261006)], (857 ^ _230446) ^ [] : [842 ^ [_261006] = 845 ^ [_261006]]], -(equalelemsP(_261006))], (815 ^ _230446) ^ [] : [equalelemsP(_261006), 818 ^ _230446 : [(819 ^ _230446) ^ [_261289] : [ssItem(_261289), 822 ^ _230446 : [(823 ^ _230446) ^ [_261460] : [ssItem(_261460), 826 ^ _230446 : [(827 ^ _230446) ^ [_261627] : [ssList(_261627), 830 ^ _230446 : [(831 ^ _230446) ^ [_261790] : [ssList(_261790), app(_261627, cons(_261289, cons(_261460, _261790))) = _261006, -(_261289 = _261460)]]]]]]]]]]], (861 ^ _230446) ^ [_263023] : [ssList(_263023), 864 ^ _230446 : [(865 ^ _230446) ^ [_263161] : [ssList(_263161), 868 ^ _230446 : [(869 ^ _230446) ^ [] : [neq(_263023, _263161), _263023 = _263161], (875 ^ _230446) ^ [] : [-(_263023 = _263161), -(neq(_263023, _263161))]]]]], (881 ^ _230446) ^ [_263614] : [ssList(_263614), 884 ^ _230446 : [(885 ^ _230446) ^ [_263746] : [ssItem(_263746), -(ssList(cons(_263746, _263614)))]]], (891 ^ _230446) ^ [] : [-(ssList(nil))], (893 ^ _230446) ^ [_264004] : [ssList(_264004), 896 ^ _230446 : [(897 ^ _230446) ^ [_264139] : [ssItem(_264139), cons(_264139, _264004) = _264004]]], (903 ^ _230446) ^ [_264347] : [ssList(_264347), 906 ^ _230446 : [(907 ^ _230446) ^ [_264515] : [ssList(_264515), 910 ^ _230446 : [(911 ^ _230446) ^ [_264679] : [ssItem(_264679), 914 ^ _230446 : [(915 ^ _230446) ^ [_264839] : [ssItem(_264839), cons(_264679, _264347) = cons(_264839, _264515), 922 ^ _230446 : [(923 ^ _230446) ^ [] : [-(_264679 = _264839)], (925 ^ _230446) ^ [] : [-(_264515 = _264347)]]]]]]]]], (927 ^ _230446) ^ [_265254] : [ssList(_265254), -(nil = _265254), 935 ^ _230446 : [(936 ^ _230446) ^ [] : [-(ssList(934 ^ [_265254]))], (939 ^ _230446) ^ [] : [-(ssItem(937 ^ [_265254]))], (941 ^ _230446) ^ [] : [-(cons(937 ^ [_265254], 934 ^ [_265254]) = _265254)]]], (943 ^ _230446) ^ [_265818] : [ssList(_265818), 946 ^ _230446 : [(947 ^ _230446) ^ [_265953] : [ssItem(_265953), nil = cons(_265953, _265818)]]], (953 ^ _230446) ^ [_266161] : [ssList(_266161), -(nil = _266161), -(ssItem(hd(_266161)))], (963 ^ _230446) ^ [_266439] : [ssList(_266439), 966 ^ _230446 : [(967 ^ _230446) ^ [_266574] : [ssItem(_266574), -(hd(cons(_266574, _266439)) = _266574)]]], (973 ^ _230446) ^ [_266785] : [ssList(_266785), -(nil = _266785), -(ssList(tl(_266785)))], (983 ^ _230446) ^ [_267063] : [ssList(_267063), 986 ^ _230446 : [(987 ^ _230446) ^ [_267198] : [ssItem(_267198), -(tl(cons(_267198, _267063)) = _267063)]]], (993 ^ _230446) ^ [_267409] : [ssList(_267409), 996 ^ _230446 : [(997 ^ _230446) ^ [_267541] : [ssList(_267541), -(ssList(app(_267409, _267541)))]]], (1003 ^ _230446) ^ [_267746] : [ssList(_267746), 1006 ^ _230446 : [(1007 ^ _230446) ^ [_267898] : [ssList(_267898), 1010 ^ _230446 : [(1011 ^ _230446) ^ [_268046] : [ssItem(_268046), -(cons(_268046, app(_267898, _267746)) = app(cons(_268046, _267898), _267746))]]]]], (1017 ^ _230446) ^ [_268284] : [ssList(_268284), -(app(nil, _268284) = _268284)], (1023 ^ _230446) ^ [_268478] : [ssItem(_268478), 1026 ^ _230446 : [(1027 ^ _230446) ^ [_268620] : [ssItem(_268620), -(_268478 = _268620), leq(_268478, _268620), leq(_268620, _268478)]]], (1041 ^ _230446) ^ [_268999] : [ssItem(_268999), 1044 ^ _230446 : [(1045 ^ _230446) ^ [_269151] : [ssItem(_269151), 1048 ^ _230446 : [(1049 ^ _230446) ^ [_269299] : [ssItem(_269299), -(leq(_268999, _269299)), leq(_268999, _269151), leq(_269151, _269299)]]]]], (1063 ^ _230446) ^ [_269699] : [ssItem(_269699), -(leq(_269699, _269699))], (1069 ^ _230446) ^ [_269887] : [ssItem(_269887), 1072 ^ _230446 : [(1073 ^ _230446) ^ [_270023] : [ssItem(_270023), 1076 ^ _230446 : [(1077 ^ _230446) ^ [] : [geq(_269887, _270023), -(leq(_270023, _269887))], (1083 ^ _230446) ^ [] : [leq(_270023, _269887), -(geq(_269887, _270023))]]]]], (1089 ^ _230446) ^ [_270474] : [ssItem(_270474), 1092 ^ _230446 : [(1093 ^ _230446) ^ [_270612] : [ssItem(_270612), lt(_270474, _270612), lt(_270612, _270474)]]], (1103 ^ _230446) ^ [_270903] : [ssItem(_270903), 1106 ^ _230446 : [(1107 ^ _230446) ^ [_271055] : [ssItem(_271055), 1110 ^ _230446 : [(1111 ^ _230446) ^ [_271203] : [ssItem(_271203), -(lt(_270903, _271203)), lt(_270903, _271055), lt(_271055, _271203)]]]]], (1125 ^ _230446) ^ [_271603] : [ssItem(_271603), 1128 ^ _230446 : [(1129 ^ _230446) ^ [_271739] : [ssItem(_271739), 1132 ^ _230446 : [(1133 ^ _230446) ^ [] : [gt(_271603, _271739), -(lt(_271739, _271603))], (1139 ^ _230446) ^ [] : [lt(_271739, _271603), -(gt(_271603, _271739))]]]]], (1145 ^ _230446) ^ [_272190] : [ssItem(_272190), 1148 ^ _230446 : [(1149 ^ _230446) ^ [_272345] : [ssList(_272345), 1152 ^ _230446 : [(1153 ^ _230446) ^ [_272496] : [ssList(_272496), 1156 ^ _230446 : [(1167 ^ _230446) ^ [] : [1168 ^ _230446 : [(1169 ^ _230446) ^ [] : [memberP(_272345, _272190)], (1171 ^ _230446) ^ [] : [memberP(_272496, _272190)]], -(memberP(app(_272345, _272496), _272190))], (1157 ^ _230446) ^ [] : [memberP(app(_272345, _272496), _272190), -(memberP(_272345, _272190)), -(memberP(_272496, _272190))]]]]]]], (1175 ^ _230446) ^ [_273143] : [ssItem(_273143), 1178 ^ _230446 : [(1179 ^ _230446) ^ [_273298] : [ssItem(_273298), 1182 ^ _230446 : [(1183 ^ _230446) ^ [_273449] : [ssList(_273449), 1186 ^ _230446 : [(1197 ^ _230446) ^ [] : [1198 ^ _230446 : [(1199 ^ _230446) ^ [] : [_273143 = _273298], (1201 ^ _230446) ^ [] : [memberP(_273449, _273143)]], -(memberP(cons(_273298, _273449), _273143))], (1187 ^ _230446) ^ [] : [memberP(cons(_273298, _273449), _273143), -(_273143 = _273298), -(memberP(_273449, _273143))]]]]]]], (1205 ^ _230446) ^ [_274096] : [ssItem(_274096), memberP(nil, _274096)], (1211 ^ _230446) ^ [] : [singletonP(nil)], (1213 ^ _230446) ^ [_274337] : [ssList(_274337), 1216 ^ _230446 : [(1217 ^ _230446) ^ [_274489] : [ssList(_274489), 1220 ^ _230446 : [(1221 ^ _230446) ^ [_274637] : [ssList(_274637), -(frontsegP(_274337, _274637)), frontsegP(_274337, _274489), frontsegP(_274489, _274637)]]]]], (1235 ^ _230446) ^ [_275037] : [ssList(_275037), 1238 ^ _230446 : [(1239 ^ _230446) ^ [_275179] : [ssList(_275179), -(_275037 = _275179), frontsegP(_275037, _275179), frontsegP(_275179, _275037)]]], (1253 ^ _230446) ^ [_275558] : [ssList(_275558), -(frontsegP(_275558, _275558))], (1259 ^ _230446) ^ [_275746] : [ssList(_275746), 1262 ^ _230446 : [(1263 ^ _230446) ^ [_275895] : [ssList(_275895), 1266 ^ _230446 : [(1267 ^ _230446) ^ [_276040] : [ssList(_276040), frontsegP(_275746, _275895), -(frontsegP(app(_275746, _276040), _275895))]]]]], (1277 ^ _230446) ^ [_276353] : [ssItem(_276353), 1280 ^ _230446 : [(1281 ^ _230446) ^ [_276521] : [ssItem(_276521), 1284 ^ _230446 : [(1285 ^ _230446) ^ [_276685] : [ssList(_276685), 1288 ^ _230446 : [(1289 ^ _230446) ^ [_276845] : [ssList(_276845), 1292 ^ _230446 : [(1293 ^ _230446) ^ [] : [frontsegP(cons(_276353, _276685), cons(_276521, _276845)), 1296 ^ _230446 : [(1297 ^ _230446) ^ [] : [-(_276353 = _276521)], (1299 ^ _230446) ^ [] : [-(frontsegP(_276685, _276845))]]], (1301 ^ _230446) ^ [] : [-(frontsegP(cons(_276353, _276685), cons(_276521, _276845))), _276353 = _276521, frontsegP(_276685, _276845)]]]]]]]]], (1311 ^ _230446) ^ [_277530] : [ssList(_277530), -(frontsegP(_277530, nil))], (1317 ^ _230446) ^ [_277718] : [ssList(_277718), 1320 ^ _230446 : [(1321 ^ _230446) ^ [] : [frontsegP(nil, _277718), -(nil = _277718)], (1327 ^ _230446) ^ [] : [nil = _277718, -(frontsegP(nil, _277718))]]], (1333 ^ _230446) ^ [_278146] : [ssList(_278146), 1336 ^ _230446 : [(1337 ^ _230446) ^ [_278298] : [ssList(_278298), 1340 ^ _230446 : [(1341 ^ _230446) ^ [_278446] : [ssList(_278446), -(rearsegP(_278146, _278446)), rearsegP(_278146, _278298), rearsegP(_278298, _278446)]]]]], (1355 ^ _230446) ^ [_278846] : [ssList(_278846), 1358 ^ _230446 : [(1359 ^ _230446) ^ [_278988] : [ssList(_278988), -(_278846 = _278988), rearsegP(_278846, _278988), rearsegP(_278988, _278846)]]], (1373 ^ _230446) ^ [_279367] : [ssList(_279367), -(rearsegP(_279367, _279367))], (1379 ^ _230446) ^ [_279555] : [ssList(_279555), 1382 ^ _230446 : [(1383 ^ _230446) ^ [_279704] : [ssList(_279704), 1386 ^ _230446 : [(1387 ^ _230446) ^ [_279849] : [ssList(_279849), rearsegP(_279555, _279704), -(rearsegP(app(_279849, _279555), _279704))]]]]], (1397 ^ _230446) ^ [_280162] : [ssList(_280162), -(rearsegP(_280162, nil))], (1403 ^ _230446) ^ [_280350] : [ssList(_280350), 1406 ^ _230446 : [(1407 ^ _230446) ^ [] : [rearsegP(nil, _280350), -(nil = _280350)], (1413 ^ _230446) ^ [] : [nil = _280350, -(rearsegP(nil, _280350))]]], (1419 ^ _230446) ^ [_280778] : [ssList(_280778), 1422 ^ _230446 : [(1423 ^ _230446) ^ [_280930] : [ssList(_280930), 1426 ^ _230446 : [(1427 ^ _230446) ^ [_281078] : [ssList(_281078), -(segmentP(_280778, _281078)), segmentP(_280778, _280930), segmentP(_280930, _281078)]]]]], (1441 ^ _230446) ^ [_281478] : [ssList(_281478), 1444 ^ _230446 : [(1445 ^ _230446) ^ [_281620] : [ssList(_281620), -(_281478 = _281620), segmentP(_281478, _281620), segmentP(_281620, _281478)]]], (1459 ^ _230446) ^ [_281999] : [ssList(_281999), -(segmentP(_281999, _281999))], (1465 ^ _230446) ^ [_282187] : [ssList(_282187), 1468 ^ _230446 : [(1469 ^ _230446) ^ [_282349] : [ssList(_282349), 1472 ^ _230446 : [(1473 ^ _230446) ^ [_282507] : [ssList(_282507), 1476 ^ _230446 : [(1477 ^ _230446) ^ [_282661] : [ssList(_282661), segmentP(_282187, _282349), -(segmentP(app(app(_282507, _282187), _282661), _282349))]]]]]]], (1487 ^ _230446) ^ [_282997] : [ssList(_282997), -(segmentP(_282997, nil))], (1493 ^ _230446) ^ [_283185] : [ssList(_283185), 1496 ^ _230446 : [(1497 ^ _230446) ^ [] : [segmentP(nil, _283185), -(nil = _283185)], (1503 ^ _230446) ^ [] : [nil = _283185, -(segmentP(nil, _283185))]]], (1509 ^ _230446) ^ [_283613] : [ssItem(_283613), -(cyclefreeP(cons(_283613, nil)))], (1515 ^ _230446) ^ [] : [-(cyclefreeP(nil))], (1517 ^ _230446) ^ [_283858] : [ssItem(_283858), -(totalorderP(cons(_283858, nil)))], (1523 ^ _230446) ^ [] : [-(totalorderP(nil))], (1525 ^ _230446) ^ [_284103] : [ssItem(_284103), -(strictorderP(cons(_284103, nil)))], (1531 ^ _230446) ^ [] : [-(strictorderP(nil))], (1533 ^ _230446) ^ [_284348] : [ssItem(_284348), -(totalorderedP(cons(_284348, nil)))], (1539 ^ _230446) ^ [] : [-(totalorderedP(nil))], (1541 ^ _230446) ^ [_284593] : [ssItem(_284593), 1544 ^ _230446 : [(1545 ^ _230446) ^ [_284752] : [ssList(_284752), 1548 ^ _230446 : [(1549 ^ _230446) ^ [] : [totalorderedP(cons(_284593, _284752)), -(nil = _284752), 1556 ^ _230446 : [(1557 ^ _230446) ^ [] : [nil = _284752], (1559 ^ _230446) ^ [] : [-(totalorderedP(_284752))], (1561 ^ _230446) ^ [] : [-(leq(_284593, hd(_284752)))]]], (1563 ^ _230446) ^ [] : [-(totalorderedP(cons(_284593, _284752))), 1564 ^ _230446 : [(1565 ^ _230446) ^ [] : [nil = _284752], (1567 ^ _230446) ^ [] : [-(nil = _284752), totalorderedP(_284752), leq(_284593, hd(_284752))]]]]]]], (1579 ^ _230446) ^ [_285687] : [ssItem(_285687), -(strictorderedP(cons(_285687, nil)))], (1585 ^ _230446) ^ [] : [-(strictorderedP(nil))], (1587 ^ _230446) ^ [_285932] : [ssItem(_285932), 1590 ^ _230446 : [(1591 ^ _230446) ^ [_286091] : [ssList(_286091), 1594 ^ _230446 : [(1595 ^ _230446) ^ [] : [strictorderedP(cons(_285932, _286091)), -(nil = _286091), 1602 ^ _230446 : [(1603 ^ _230446) ^ [] : [nil = _286091], (1605 ^ _230446) ^ [] : [-(strictorderedP(_286091))], (1607 ^ _230446) ^ [] : [-(lt(_285932, hd(_286091)))]]], (1609 ^ _230446) ^ [] : [-(strictorderedP(cons(_285932, _286091))), 1610 ^ _230446 : [(1611 ^ _230446) ^ [] : [nil = _286091], (1613 ^ _230446) ^ [] : [-(nil = _286091), strictorderedP(_286091), lt(_285932, hd(_286091))]]]]]]], (1625 ^ _230446) ^ [_287026] : [ssItem(_287026), -(duplicatefreeP(cons(_287026, nil)))], (1631 ^ _230446) ^ [] : [-(duplicatefreeP(nil))], (1633 ^ _230446) ^ [_287271] : [ssItem(_287271), -(equalelemsP(cons(_287271, nil)))], (1639 ^ _230446) ^ [] : [-(equalelemsP(nil))], (1641 ^ _230446) ^ [_287516] : [ssList(_287516), -(nil = _287516), 1649 ^ _230446 : [(1650 ^ _230446) ^ [] : [-(ssItem(1648 ^ [_287516]))], (1652 ^ _230446) ^ [] : [-(hd(_287516) = 1648 ^ [_287516])]]], (1654 ^ _230446) ^ [_287930] : [ssList(_287930), -(nil = _287930), 1662 ^ _230446 : [(1663 ^ _230446) ^ [] : [-(ssList(1661 ^ [_287930]))], (1665 ^ _230446) ^ [] : [-(tl(_287930) = 1661 ^ [_287930])]]], (1667 ^ _230446) ^ [_288344] : [ssList(_288344), 1670 ^ _230446 : [(1671 ^ _230446) ^ [_288510] : [ssList(_288510), -(_288510 = _288344), -(nil = _288510), -(nil = _288344), hd(_288510) = hd(_288344), tl(_288510) = tl(_288344)]]], (1693 ^ _230446) ^ [_289089] : [ssList(_289089), -(nil = _289089), -(cons(hd(_289089), tl(_289089)) = _289089)], (1703 ^ _230446) ^ [_289379] : [ssList(_289379), 1706 ^ _230446 : [(1707 ^ _230446) ^ [_289531] : [ssList(_289531), 1710 ^ _230446 : [(1711 ^ _230446) ^ [_289679] : [ssList(_289679), app(_289679, _289531) = app(_289379, _289531), -(_289679 = _289379)]]]]], (1721 ^ _230446) ^ [_289998] : [ssList(_289998), 1724 ^ _230446 : [(1725 ^ _230446) ^ [_290150] : [ssList(_290150), 1728 ^ _230446 : [(1729 ^ _230446) ^ [_290298] : [ssList(_290298), app(_290150, _290298) = app(_290150, _289998), -(_290298 = _289998)]]]]], (1739 ^ _230446) ^ [_290617] : [ssList(_290617), 1742 ^ _230446 : [(1743 ^ _230446) ^ [_290756] : [ssItem(_290756), -(cons(_290756, _290617) = app(cons(_290756, nil), _290617))]]], (1749 ^ _230446) ^ [_290975] : [ssList(_290975), 1752 ^ _230446 : [(1753 ^ _230446) ^ [_291127] : [ssList(_291127), 1756 ^ _230446 : [(1757 ^ _230446) ^ [_291275] : [ssList(_291275), -(app(app(_290975, _291127), _291275) = app(_290975, app(_291127, _291275)))]]]]], (1763 ^ _230446) ^ [_291513] : [ssList(_291513), 1766 ^ _230446 : [(1767 ^ _230446) ^ [_291658] : [ssList(_291658), 1770 ^ _230446 : [(1771 ^ _230446) ^ [] : [nil = app(_291513, _291658), 1774 ^ _230446 : [(1775 ^ _230446) ^ [] : [-(nil = _291658)], (1777 ^ _230446) ^ [] : [-(nil = _291513)]]], (1779 ^ _230446) ^ [] : [-(nil = app(_291513, _291658)), nil = _291658, nil = _291513]]]]], (1789 ^ _230446) ^ [_292276] : [ssList(_292276), -(app(_292276, nil) = _292276)], (1795 ^ _230446) ^ [_292470] : [ssList(_292470), 1798 ^ _230446 : [(1799 ^ _230446) ^ [_292615] : [ssList(_292615), -(nil = _292470), -(hd(app(_292470, _292615)) = hd(_292470))]]], (1809 ^ _230446) ^ [_292922] : [ssList(_292922), 1812 ^ _230446 : [(1813 ^ _230446) ^ [_293070] : [ssList(_293070), -(nil = _292922), -(tl(app(_292922, _293070)) = app(tl(_292922), _293070))]]], (1823 ^ _230446) ^ [_293383] : [ssItem(_293383), 1826 ^ _230446 : [(1827 ^ _230446) ^ [_293525] : [ssItem(_293525), -(_293383 = _293525), geq(_293383, _293525), geq(_293525, _293383)]]], (1841 ^ _230446) ^ [_293904] : [ssItem(_293904), 1844 ^ _230446 : [(1845 ^ _230446) ^ [_294056] : [ssItem(_294056), 1848 ^ _230446 : [(1849 ^ _230446) ^ [_294204] : [ssItem(_294204), -(geq(_293904, _294204)), geq(_293904, _294056), geq(_294056, _294204)]]]]], (1863 ^ _230446) ^ [_294604] : [ssItem(_294604), -(geq(_294604, _294604))], (1869 ^ _230446) ^ [_294792] : [ssItem(_294792), lt(_294792, _294792)], (1875 ^ _230446) ^ [_294981] : [ssItem(_294981), 1878 ^ _230446 : [(1879 ^ _230446) ^ [_295133] : [ssItem(_295133), 1882 ^ _230446 : [(1883 ^ _230446) ^ [_295281] : [ssItem(_295281), -(lt(_294981, _295281)), leq(_294981, _295133), lt(_295133, _295281)]]]]], (1897 ^ _230446) ^ [_295681] : [ssItem(_295681), 1900 ^ _230446 : [(1901 ^ _230446) ^ [_295823] : [ssItem(_295823), leq(_295681, _295823), -(_295681 = _295823), -(lt(_295681, _295823))]]], (1915 ^ _230446) ^ [_296203] : [ssItem(_296203), 1918 ^ _230446 : [(1919 ^ _230446) ^ [_296347] : [ssItem(_296347), 1922 ^ _230446 : [(1923 ^ _230446) ^ [] : [lt(_296203, _296347), 1926 ^ _230446 : [(1927 ^ _230446) ^ [] : [_296203 = _296347], (1929 ^ _230446) ^ [] : [-(leq(_296203, _296347))]]], (1931 ^ _230446) ^ [] : [-(lt(_296203, _296347)), -(_296203 = _296347), leq(_296203, _296347)]]]]], (1941 ^ _230446) ^ [_296958] : [ssItem(_296958), 1944 ^ _230446 : [(1945 ^ _230446) ^ [_297096] : [ssItem(_297096), gt(_296958, _297096), gt(_297096, _296958)]]], (1955 ^ _230446) ^ [_297367] : [ssItem(_297367), 1958 ^ _230446 : [(1959 ^ _230446) ^ [_297519] : [ssItem(_297519), 1962 ^ _230446 : [(1963 ^ _230446) ^ [_297667] : [ssItem(_297667), -(gt(_297367, _297667)), gt(_297367, _297519), gt(_297519, _297667)]]]]]], input).
% 14.22/14.82 ncf('1',plain,[neq(1985 ^ [], nil)],start(1993 ^ 0)).
% 14.22/14.82 ncf('1.1',plain,[-(neq(1985 ^ [], nil)), 875 : -(1985 ^ [] = nil), 875 : ssList(nil), 865 : ssList(1985 ^ [])],extension(861 ^ 1,bind([[_263023, _263161], [1985 ^ [], nil]]))).
% 14.22/14.82 ncf('1.1.1',plain,[1985 ^ [] = nil, -(nil = 1985 ^ [])],extension(4 ^ 6,bind([[_230697, _230699], [nil, 1985 ^ []]]))).
% 14.22/14.82 ncf('1.1.1.1',plain,[nil = 1985 ^ [], -(nil = 1979 ^ []), 1985 ^ [] = 1979 ^ []],extension(10 ^ 7,bind([[_230901, _230903, _230905], [1979 ^ [], 1985 ^ [], nil]]))).
% 14.22/14.82 ncf('1.1.1.1.1',plain,[nil = 1979 ^ [], -(cyclefreeP(1979 ^ [])), cyclefreeP(nil)],extension(236 ^ 8,bind([[_237845, _237847], [1979 ^ [], nil]]))).
% 14.22/14.82 ncf('1.1.1.1.1.1',plain,[cyclefreeP(1979 ^ [])],extension(1995 ^ 9)).
% 14.22/14.82 ncf('1.1.1.1.1.2',plain,[-(cyclefreeP(nil))],extension(1515 ^ 9)).
% 14.22/14.82 ncf('1.1.1.1.2',plain,[-(1985 ^ [] = 1979 ^ []), 1979 ^ [] = 1985 ^ []],extension(4 ^ 8,bind([[_230697, _230699], [1985 ^ [], 1979 ^ []]]))).
% 14.22/14.82 ncf('1.1.1.1.2.1',plain,[-(1979 ^ [] = 1985 ^ [])],extension(1989 ^ 9)).
% 14.22/14.82 ncf('1.1.2',plain,[-(ssList(nil))],extension(891 ^ 4)).
% 14.22/14.82 ncf('1.1.3',plain,[-(ssList(1985 ^ []))],extension(1987 ^ 2)).
% 14.22/14.82 %-----------------------------------------------------
% 14.22/14.82 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------