TSTP Solution File: SWC255+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SWC255+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 19 12:13:00 EDT 2023
% Result : Theorem 44.20s 43.76s
% Output : Proof 44.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC255+1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.12 % Command : nanocop.sh %s %d
% 0.13/0.33 % Computer : n003.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri May 19 01:04:15 EDT 2023
% 0.13/0.33 % CPUTime :
% 44.20/43.76
% 44.20/43.76 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 44.20/43.76 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 44.20/43.76 %-----------------------------------------------------
% 44.20/43.76 ncf(matrix, plain, [(1984 ^ _316998) ^ [] : [-(ssList(1982 ^ []))], (1991 ^ _316998) ^ [] : [-(1976 ^ [] = 1982 ^ [])], (1993 ^ _316998) ^ [] : [1994 ^ _316998 : [(1999 ^ _316998) ^ [] : [singletonP(1976 ^ [])], (1997 ^ _316998) ^ [] : [-(singletonP(1982 ^ []))], (1995 ^ _316998) ^ [] : [-(neq(1979 ^ [], nil))]], 2000 ^ _316998 : [(2003 ^ _316998) ^ [] : [neq(1985 ^ [], nil)], (2001 ^ _316998) ^ [] : [-(neq(1979 ^ [], nil))]]], (1987 ^ _316998) ^ [] : [-(ssList(1985 ^ []))], (1978 ^ _316998) ^ [] : [-(ssList(1976 ^ []))], (1981 ^ _316998) ^ [] : [-(ssList(1979 ^ []))], (1989 ^ _316998) ^ [] : [-(1979 ^ [] = 1985 ^ [])], !, (861 ^ _248685) ^ [_281242] : [ssList(_281242), 864 ^ _248685 : [(865 ^ _248685) ^ [_281380] : [ssList(_281380), 868 ^ _248685 : [(875 ^ _248685) ^ [] : [-(_281242 = _281380), -(neq(_281242, _281380))], (869 ^ _248685) ^ [] : [neq(_281242, _281380), _281242 = _281380]]]]], (256 ^ _248685) ^ [_256800, _256802] : [_256802 = _256800, -(hd(_256802) = hd(_256800))], (76 ^ _248685) ^ [_251209, _251211] : [-(cyclefreeP(_251209)), _251211 = _251209, cyclefreeP(_251211)], (1355 ^ _248685) ^ [_297065] : [ssList(_297065), 1358 ^ _248685 : [(1359 ^ _248685) ^ [_297207] : [ssList(_297207), -(_297065 = _297207), rearsegP(_297065, _297207), rearsegP(_297207, _297065)]]], (1459 ^ _248685) ^ [_300218] : [ssList(_300218), -(segmentP(_300218, _300218))], (106 ^ _248685) ^ [_252094, _252096] : [-(totalorderedP(_252094)), _252096 = _252094, totalorderedP(_252096)], (62 ^ _248685) ^ [_250793, _250795, _250797, _250799] : [-(segmentP(_250797, _250793)), segmentP(_250799, _250795), _250799 = _250797, _250795 = _250793], (943 ^ _248685) ^ [_284037] : [ssList(_284037), 946 ^ _248685 : [(947 ^ _248685) ^ [_284172] : [ssItem(_284172), nil = cons(_284172, _284037)]]], (1869 ^ _248685) ^ [_313011] : [ssItem(_313011), lt(_313011, _313011)], (136 ^ _248685) ^ [_252979, _252981] : [-(equalelemsP(_252979)), _252981 = _252979, equalelemsP(_252981)], (232 ^ _248685) ^ [_255943, _255945, _255947, _255949] : [-(neq(_255947, _255943)), neq(_255949, _255945), _255949 = _255947, _255945 = _255943], (2 ^ _248685) ^ [_248809] : [-(_248809 = _248809)], (1633 ^ _248685) ^ [_305490] : [ssItem(_305490), -(equalelemsP(cons(_305490, nil)))], (262 ^ _248685) ^ [_257046, _257048, _257050, _257052] : [-(app(_257052, _257048) = app(_257050, _257046)), _257052 = _257050, _257048 = _257046], (1145 ^ _248685) ^ [_290409] : [ssItem(_290409), 1148 ^ _248685 : [(1149 ^ _248685) ^ [_290564] : [ssList(_290564), 1152 ^ _248685 : [(1153 ^ _248685) ^ [_290715] : [ssList(_290715), 1156 ^ _248685 : [(1157 ^ _248685) ^ [] : [memberP(app(_290564, _290715), _290409), -(memberP(_290564, _290409)), -(memberP(_290715, _290409))], (1167 ^ _248685) ^ [] : [1168 ^ _248685 : [(1171 ^ _248685) ^ [] : [memberP(_290715, _290409)], (1169 ^ _248685) ^ [] : [memberP(_290564, _290409)]], -(memberP(app(_290564, _290715), _290409))]]]]]]], (278 ^ _248685) ^ [_257579] : [ssItem(_257579), 281 ^ _248685 : [(282 ^ _248685) ^ [_257717] : [ssItem(_257717), 285 ^ _248685 : [(292 ^ _248685) ^ [] : [-(_257579 = _257717), -(neq(_257579, _257717))], (286 ^ _248685) ^ [] : [neq(_257579, _257717), _257579 = _257717]]]]], (1213 ^ _248685) ^ [_292556] : [ssList(_292556), 1216 ^ _248685 : [(1217 ^ _248685) ^ [_292708] : [ssList(_292708), 1220 ^ _248685 : [(1221 ^ _248685) ^ [_292856] : [ssList(_292856), -(frontsegP(_292556, _292856)), frontsegP(_292556, _292708), frontsegP(_292708, _292856)]]]]], (390 ^ _248685) ^ [_261280] : [ssList(_261280), 393 ^ _248685 : [(394 ^ _248685) ^ [_261429] : [ssList(_261429), 397 ^ _248685 : [(407 ^ _248685) ^ [] : [-(rearsegP(_261280, _261429)), 408 ^ _248685 : [(409 ^ _248685) ^ [_261904] : [ssList(_261904), app(_261904, _261429) = _261280]]], (398 ^ _248685) ^ [] : [rearsegP(_261280, _261429), 402 ^ _248685 : [(405 ^ _248685) ^ [] : [-(app(401 ^ [_261280, _261429], _261429) = _261280)], (403 ^ _248685) ^ [] : [-(ssList(401 ^ [_261280, _261429]))]]]]]]], (1017 ^ _248685) ^ [_286503] : [ssList(_286503), -(app(nil, _286503) = _286503)], (1063 ^ _248685) ^ [_287918] : [ssItem(_287918), -(leq(_287918, _287918))], (1749 ^ _248685) ^ [_309194] : [ssList(_309194), 1752 ^ _248685 : [(1753 ^ _248685) ^ [_309346] : [ssList(_309346), 1756 ^ _248685 : [(1757 ^ _248685) ^ [_309494] : [ssList(_309494), -(app(app(_309194, _309346), _309494) = app(_309194, app(_309346, _309494)))]]]]], (1465 ^ _248685) ^ [_300406] : [ssList(_300406), 1468 ^ _248685 : [(1469 ^ _248685) ^ [_300568] : [ssList(_300568), 1472 ^ _248685 : [(1473 ^ _248685) ^ [_300726] : [ssList(_300726), 1476 ^ _248685 : [(1477 ^ _248685) ^ [_300880] : [ssList(_300880), segmentP(_300406, _300568), -(segmentP(app(app(_300726, _300406), _300880), _300568))]]]]]]], (1809 ^ _248685) ^ [_311141] : [ssList(_311141), 1812 ^ _248685 : [(1813 ^ _248685) ^ [_311289] : [ssList(_311289), -(nil = _311141), -(tl(app(_311141, _311289)) = app(tl(_311141), _311289))]]], (1211 ^ _248685) ^ [] : [singletonP(nil)], (1379 ^ _248685) ^ [_297774] : [ssList(_297774), 1382 ^ _248685 : [(1383 ^ _248685) ^ [_297923] : [ssList(_297923), 1386 ^ _248685 : [(1387 ^ _248685) ^ [_298068] : [ssList(_298068), rearsegP(_297774, _297923), -(rearsegP(app(_298068, _297774), _297923))]]]]], (993 ^ _248685) ^ [_285628] : [ssList(_285628), 996 ^ _248685 : [(997 ^ _248685) ^ [_285760] : [ssList(_285760), -(ssList(app(_285628, _285760)))]]], (1517 ^ _248685) ^ [_302077] : [ssItem(_302077), -(totalorderP(cons(_302077, nil)))], (1253 ^ _248685) ^ [_293777] : [ssList(_293777), -(frontsegP(_293777, _293777))], (1487 ^ _248685) ^ [_301216] : [ssList(_301216), -(segmentP(_301216, nil))], (34 ^ _248685) ^ [_249905, _249907, _249909, _249911] : [-(frontsegP(_249909, _249905)), frontsegP(_249911, _249907), _249911 = _249909, _249907 = _249905], (1311 ^ _248685) ^ [_295749] : [ssList(_295749), -(frontsegP(_295749, nil))], (1023 ^ _248685) ^ [_286697] : [ssItem(_286697), 1026 ^ _248685 : [(1027 ^ _248685) ^ [_286839] : [ssItem(_286839), -(_286697 = _286839), leq(_286697, _286839), leq(_286839, _286697)]]], (1403 ^ _248685) ^ [_298569] : [ssList(_298569), 1406 ^ _248685 : [(1413 ^ _248685) ^ [] : [nil = _298569, -(rearsegP(nil, _298569))], (1407 ^ _248685) ^ [] : [rearsegP(nil, _298569), -(nil = _298569)]]], (1579 ^ _248685) ^ [_303906] : [ssItem(_303906), -(strictorderedP(cons(_303906, nil)))], (188 ^ _248685) ^ [_254606, _254608] : [-(ssItem(_254606)), _254608 = _254606, ssItem(_254608)], (754 ^ _248685) ^ [_276715] : [ssList(_276715), 757 ^ _248685 : [(758 ^ _248685) ^ [] : [duplicatefreeP(_276715), 761 ^ _248685 : [(762 ^ _248685) ^ [_277013] : [ssItem(_277013), 765 ^ _248685 : [(766 ^ _248685) ^ [_277199] : [ssItem(_277199), 769 ^ _248685 : [(770 ^ _248685) ^ [_277381] : [ssList(_277381), 773 ^ _248685 : [(774 ^ _248685) ^ [_277559] : [ssList(_277559), 777 ^ _248685 : [(778 ^ _248685) ^ [_277733] : [ssList(_277733), app(app(_277381, cons(_277013, _277559)), cons(_277199, _277733)) = _276715, _277013 = _277199]]]]]]]]]]], (788 ^ _248685) ^ [] : [790 ^ _248685 : [(797 ^ _248685) ^ [] : [-(ssList(795 ^ [_276715]))], (805 ^ _248685) ^ [] : [-(app(app(795 ^ [_276715], cons(789 ^ [_276715], 798 ^ [_276715])), cons(792 ^ [_276715], 801 ^ [_276715])) = _276715)], (807 ^ _248685) ^ [] : [-(789 ^ [_276715] = 792 ^ [_276715])], (800 ^ _248685) ^ [] : [-(ssList(798 ^ [_276715]))], (791 ^ _248685) ^ [] : [-(ssItem(789 ^ [_276715]))], (794 ^ _248685) ^ [] : [-(ssItem(792 ^ [_276715]))], (803 ^ _248685) ^ [] : [-(ssList(801 ^ [_276715]))]], -(duplicatefreeP(_276715))]]], (963 ^ _248685) ^ [_284658] : [ssList(_284658), 966 ^ _248685 : [(967 ^ _248685) ^ [_284793] : [ssItem(_284793), -(hd(cons(_284793, _284658)) = _284793)]]], (1089 ^ _248685) ^ [_288693] : [ssItem(_288693), 1092 ^ _248685 : [(1093 ^ _248685) ^ [_288831] : [ssItem(_288831), lt(_288693, _288831), lt(_288831, _288693)]]], (1739 ^ _248685) ^ [_308836] : [ssList(_308836), 1742 ^ _248685 : [(1743 ^ _248685) ^ [_308975] : [ssItem(_308975), -(cons(_308975, _308836) = app(cons(_308975, nil), _308836))]]], (1441 ^ _248685) ^ [_299697] : [ssList(_299697), 1444 ^ _248685 : [(1445 ^ _248685) ^ [_299839] : [ssList(_299839), -(_299697 = _299839), segmentP(_299697, _299839), segmentP(_299839, _299697)]]], (1259 ^ _248685) ^ [_293965] : [ssList(_293965), 1262 ^ _248685 : [(1263 ^ _248685) ^ [_294114] : [ssList(_294114), 1266 ^ _248685 : [(1267 ^ _248685) ^ [_294259] : [ssList(_294259), frontsegP(_293965, _294114), -(frontsegP(app(_293965, _294259), _294114))]]]]], (1875 ^ _248685) ^ [_313200] : [ssItem(_313200), 1878 ^ _248685 : [(1879 ^ _248685) ^ [_313352] : [ssItem(_313352), 1882 ^ _248685 : [(1883 ^ _248685) ^ [_313500] : [ssItem(_313500), -(lt(_313200, _313500)), leq(_313200, _313352), lt(_313352, _313500)]]]]], (1541 ^ _248685) ^ [_302812] : [ssItem(_302812), 1544 ^ _248685 : [(1545 ^ _248685) ^ [_302971] : [ssList(_302971), 1548 ^ _248685 : [(1563 ^ _248685) ^ [] : [-(totalorderedP(cons(_302812, _302971))), 1564 ^ _248685 : [(1567 ^ _248685) ^ [] : [-(nil = _302971), totalorderedP(_302971), leq(_302812, hd(_302971))], (1565 ^ _248685) ^ [] : [nil = _302971]]], (1549 ^ _248685) ^ [] : [totalorderedP(cons(_302812, _302971)), -(nil = _302971), 1556 ^ _248685 : [(1561 ^ _248685) ^ [] : [-(leq(_302812, hd(_302971)))], (1559 ^ _248685) ^ [] : [-(totalorderedP(_302971))], (1557 ^ _248685) ^ [] : [nil = _302971]]]]]]], (1721 ^ _248685) ^ [_308217] : [ssList(_308217), 1724 ^ _248685 : [(1725 ^ _248685) ^ [_308369] : [ssList(_308369), 1728 ^ _248685 : [(1729 ^ _248685) ^ [_308517] : [ssList(_308517), app(_308369, _308517) = app(_308369, _308217), -(_308517 = _308217)]]]]], (340 ^ _248685) ^ [_259679] : [ssList(_259679), 343 ^ _248685 : [(353 ^ _248685) ^ [] : [-(singletonP(_259679)), 354 ^ _248685 : [(355 ^ _248685) ^ [_260128] : [ssItem(_260128), cons(_260128, nil) = _259679]]], (344 ^ _248685) ^ [] : [singletonP(_259679), 348 ^ _248685 : [(351 ^ _248685) ^ [] : [-(cons(347 ^ [_259679], nil) = _259679)], (349 ^ _248685) ^ [] : [-(ssItem(347 ^ [_259679]))]]]]], (1041 ^ _248685) ^ [_287218] : [ssItem(_287218), 1044 ^ _248685 : [(1045 ^ _248685) ^ [_287370] : [ssItem(_287370), 1048 ^ _248685 : [(1049 ^ _248685) ^ [_287518] : [ssItem(_287518), -(leq(_287218, _287518)), leq(_287218, _287370), leq(_287370, _287518)]]]]], (246 ^ _248685) ^ [_256469, _256471, _256473, _256475] : [-(cons(_256475, _256471) = cons(_256473, _256469)), _256475 = _256473, _256471 = _256469], (1533 ^ _248685) ^ [_302567] : [ssItem(_302567), -(totalorderedP(cons(_302567, nil)))], (927 ^ _248685) ^ [_283473] : [ssList(_283473), -(nil = _283473), 935 ^ _248685 : [(941 ^ _248685) ^ [] : [-(cons(937 ^ [_283473], 934 ^ [_283473]) = _283473)], (939 ^ _248685) ^ [] : [-(ssItem(937 ^ [_283473]))], (936 ^ _248685) ^ [] : [-(ssList(934 ^ [_283473]))]]], (1493 ^ _248685) ^ [_301404] : [ssList(_301404), 1496 ^ _248685 : [(1503 ^ _248685) ^ [] : [nil = _301404, -(segmentP(nil, _301404))], (1497 ^ _248685) ^ [] : [segmentP(nil, _301404), -(nil = _301404)]]], (363 ^ _248685) ^ [_260384] : [ssList(_260384), 366 ^ _248685 : [(367 ^ _248685) ^ [_260533] : [ssList(_260533), 370 ^ _248685 : [(380 ^ _248685) ^ [] : [-(frontsegP(_260384, _260533)), 381 ^ _248685 : [(382 ^ _248685) ^ [_261008] : [ssList(_261008), app(_260533, _261008) = _260384]]], (371 ^ _248685) ^ [] : [frontsegP(_260384, _260533), 375 ^ _248685 : [(378 ^ _248685) ^ [] : [-(app(_260533, 374 ^ [_260384, _260533]) = _260384)], (376 ^ _248685) ^ [] : [-(ssList(374 ^ [_260384, _260533]))]]]]]]], (306 ^ _248685) ^ [_258430] : [ssList(_258430), 309 ^ _248685 : [(310 ^ _248685) ^ [_258592] : [ssItem(_258592), 313 ^ _248685 : [(326 ^ _248685) ^ [] : [-(memberP(_258430, _258592)), 327 ^ _248685 : [(328 ^ _248685) ^ [_259240] : [ssList(_259240), 331 ^ _248685 : [(332 ^ _248685) ^ [_259388] : [ssList(_259388), app(_259240, cons(_258592, _259388)) = _258430]]]]], (314 ^ _248685) ^ [] : [memberP(_258430, _258592), 318 ^ _248685 : [(324 ^ _248685) ^ [] : [-(app(317 ^ [_258430, _258592], cons(_258592, 320 ^ [_258430, _258592])) = _258430)], (322 ^ _248685) ^ [] : [-(ssList(320 ^ [_258430, _258592]))], (319 ^ _248685) ^ [] : [-(ssList(317 ^ [_258430, _258592]))]]]]]]], (1693 ^ _248685) ^ [_307308] : [ssList(_307308), -(nil = _307308), -(cons(hd(_307308), tl(_307308)) = _307308)], (811 ^ _248685) ^ [_279225] : [ssList(_279225), 814 ^ _248685 : [(815 ^ _248685) ^ [] : [equalelemsP(_279225), 818 ^ _248685 : [(819 ^ _248685) ^ [_279508] : [ssItem(_279508), 822 ^ _248685 : [(823 ^ _248685) ^ [_279679] : [ssItem(_279679), 826 ^ _248685 : [(827 ^ _248685) ^ [_279846] : [ssList(_279846), 830 ^ _248685 : [(831 ^ _248685) ^ [_280009] : [ssList(_280009), app(_279846, cons(_279508, cons(_279679, _280009))) = _279225, -(_279508 = _279679)]]]]]]]]], (841 ^ _248685) ^ [] : [843 ^ _248685 : [(847 ^ _248685) ^ [] : [-(ssItem(845 ^ [_279225]))], (844 ^ _248685) ^ [] : [-(ssItem(842 ^ [_279225]))], (857 ^ _248685) ^ [] : [842 ^ [_279225] = 845 ^ [_279225]], (853 ^ _248685) ^ [] : [-(ssList(851 ^ [_279225]))], (855 ^ _248685) ^ [] : [-(app(848 ^ [_279225], cons(842 ^ [_279225], cons(845 ^ [_279225], 851 ^ [_279225]))) = _279225)], (850 ^ _248685) ^ [] : [-(ssList(848 ^ [_279225]))]], -(equalelemsP(_279225))]]], (1125 ^ _248685) ^ [_289822] : [ssItem(_289822), 1128 ^ _248685 : [(1129 ^ _248685) ^ [_289958] : [ssItem(_289958), 1132 ^ _248685 : [(1139 ^ _248685) ^ [] : [lt(_289958, _289822), -(gt(_289822, _289958))], (1133 ^ _248685) ^ [] : [gt(_289822, _289958), -(lt(_289958, _289822))]]]]], (973 ^ _248685) ^ [_285004] : [ssList(_285004), -(nil = _285004), -(ssList(tl(_285004)))], (1823 ^ _248685) ^ [_311602] : [ssItem(_311602), 1826 ^ _248685 : [(1827 ^ _248685) ^ [_311744] : [ssItem(_311744), -(_311602 = _311744), geq(_311602, _311744), geq(_311744, _311602)]]], (953 ^ _248685) ^ [_284380] : [ssList(_284380), -(nil = _284380), -(ssItem(hd(_284380)))], (1667 ^ _248685) ^ [_306563] : [ssList(_306563), 1670 ^ _248685 : [(1671 ^ _248685) ^ [_306729] : [ssList(_306729), -(_306729 = _306563), -(nil = _306729), -(nil = _306563), hd(_306729) = hd(_306563), tl(_306729) = tl(_306563)]]], (1841 ^ _248685) ^ [_312123] : [ssItem(_312123), 1844 ^ _248685 : [(1845 ^ _248685) ^ [_312275] : [ssItem(_312275), 1848 ^ _248685 : [(1849 ^ _248685) ^ [_312423] : [ssItem(_312423), -(geq(_312123, _312423)), geq(_312123, _312275), geq(_312275, _312423)]]]]], (1897 ^ _248685) ^ [_313900] : [ssItem(_313900), 1900 ^ _248685 : [(1901 ^ _248685) ^ [_314042] : [ssItem(_314042), leq(_313900, _314042), -(_313900 = _314042), -(lt(_313900, _314042))]]], (1639 ^ _248685) ^ [] : [-(equalelemsP(nil))], (1863 ^ _248685) ^ [_312823] : [ssItem(_312823), -(geq(_312823, _312823))], (1625 ^ _248685) ^ [_305245] : [ssItem(_305245), -(duplicatefreeP(cons(_305245, nil)))], (577 ^ _248685) ^ [_268975] : [ssList(_268975), 580 ^ _248685 : [(581 ^ _248685) ^ [] : [strictorderP(_268975), 584 ^ _248685 : [(585 ^ _248685) ^ [_269277] : [ssItem(_269277), 588 ^ _248685 : [(589 ^ _248685) ^ [_269467] : [ssItem(_269467), 592 ^ _248685 : [(593 ^ _248685) ^ [_269653] : [ssList(_269653), 596 ^ _248685 : [(597 ^ _248685) ^ [_269835] : [ssList(_269835), 600 ^ _248685 : [(601 ^ _248685) ^ [_270013] : [ssList(_270013), app(app(_269653, cons(_269277, _269835)), cons(_269467, _270013)) = _268975, -(lt(_269277, _269467)), -(lt(_269467, _269277))]]]]]]]]]]], (615 ^ _248685) ^ [] : [617 ^ _248685 : [(624 ^ _248685) ^ [] : [-(ssList(622 ^ [_268975]))], (632 ^ _248685) ^ [] : [-(app(app(622 ^ [_268975], cons(616 ^ [_268975], 625 ^ [_268975])), cons(619 ^ [_268975], 628 ^ [_268975])) = _268975)], (618 ^ _248685) ^ [] : [-(ssItem(616 ^ [_268975]))], (634 ^ _248685) ^ [] : [lt(616 ^ [_268975], 619 ^ [_268975])], (627 ^ _248685) ^ [] : [-(ssList(625 ^ [_268975]))], (630 ^ _248685) ^ [] : [-(ssList(628 ^ [_268975]))], (636 ^ _248685) ^ [] : [lt(619 ^ [_268975], 616 ^ [_268975])], (621 ^ _248685) ^ [] : [-(ssItem(619 ^ [_268975]))]], -(strictorderP(_268975))]]], (48 ^ _248685) ^ [_250349, _250351, _250353, _250355] : [-(rearsegP(_250353, _250349)), rearsegP(_250355, _250351), _250355 = _250353, _250351 = _250349], (1795 ^ _248685) ^ [_310689] : [ssList(_310689), 1798 ^ _248685 : [(1799 ^ _248685) ^ [_310834] : [ssList(_310834), -(nil = _310689), -(hd(app(_310689, _310834)) = hd(_310689))]]], (20 ^ _248685) ^ [_249461, _249463, _249465, _249467] : [-(memberP(_249465, _249461)), memberP(_249467, _249463), _249467 = _249465, _249463 = _249461], (1523 ^ _248685) ^ [] : [-(totalorderP(nil))], (1789 ^ _248685) ^ [_310495] : [ssList(_310495), -(app(_310495, nil) = _310495)], (697 ^ _248685) ^ [_274227] : [ssList(_274227), 700 ^ _248685 : [(701 ^ _248685) ^ [] : [strictorderedP(_274227), 704 ^ _248685 : [(705 ^ _248685) ^ [_274523] : [ssItem(_274523), 708 ^ _248685 : [(709 ^ _248685) ^ [_274707] : [ssItem(_274707), 712 ^ _248685 : [(713 ^ _248685) ^ [_274887] : [ssList(_274887), 716 ^ _248685 : [(717 ^ _248685) ^ [_275063] : [ssList(_275063), 720 ^ _248685 : [(721 ^ _248685) ^ [_275235] : [ssList(_275235), app(app(_274887, cons(_274523, _275063)), cons(_274707, _275235)) = _274227, -(lt(_274523, _274707))]]]]]]]]]]], (731 ^ _248685) ^ [] : [733 ^ _248685 : [(740 ^ _248685) ^ [] : [-(ssList(738 ^ [_274227]))], (748 ^ _248685) ^ [] : [-(app(app(738 ^ [_274227], cons(732 ^ [_274227], 741 ^ [_274227])), cons(735 ^ [_274227], 744 ^ [_274227])) = _274227)], (750 ^ _248685) ^ [] : [lt(732 ^ [_274227], 735 ^ [_274227])], (743 ^ _248685) ^ [] : [-(ssList(741 ^ [_274227]))], (734 ^ _248685) ^ [] : [-(ssItem(732 ^ [_274227]))], (737 ^ _248685) ^ [] : [-(ssItem(735 ^ [_274227]))], (746 ^ _248685) ^ [] : [-(ssList(744 ^ [_274227]))]], -(strictorderedP(_274227))]]], (198 ^ _248685) ^ [_254929, _254931, _254933, _254935] : [-(gt(_254933, _254929)), gt(_254935, _254931), _254935 = _254933, _254931 = _254929], (1373 ^ _248685) ^ [_297586] : [ssList(_297586), -(rearsegP(_297586, _297586))], (116 ^ _248685) ^ [_252389, _252391] : [-(strictorderedP(_252389)), _252391 = _252389, strictorderedP(_252391)], (10 ^ _248685) ^ [_249120, _249122, _249124] : [-(_249124 = _249120), _249124 = _249122, _249122 = _249120], (1941 ^ _248685) ^ [_315177] : [ssItem(_315177), 1944 ^ _248685 : [(1945 ^ _248685) ^ [_315315] : [ssItem(_315315), gt(_315177, _315315), gt(_315315, _315177)]]], (1587 ^ _248685) ^ [_304151] : [ssItem(_304151), 1590 ^ _248685 : [(1591 ^ _248685) ^ [_304310] : [ssList(_304310), 1594 ^ _248685 : [(1609 ^ _248685) ^ [] : [-(strictorderedP(cons(_304151, _304310))), 1610 ^ _248685 : [(1613 ^ _248685) ^ [] : [-(nil = _304310), strictorderedP(_304310), lt(_304151, hd(_304310))], (1611 ^ _248685) ^ [] : [nil = _304310]]], (1595 ^ _248685) ^ [] : [strictorderedP(cons(_304151, _304310)), -(nil = _304310), 1602 ^ _248685 : [(1607 ^ _248685) ^ [] : [-(lt(_304151, hd(_304310)))], (1605 ^ _248685) ^ [] : [-(strictorderedP(_304310))], (1603 ^ _248685) ^ [] : [nil = _304310]]]]]]], (299 ^ _248685) ^ [] : [-(ssItem(297 ^ []))], (451 ^ _248685) ^ [_263425] : [ssList(_263425), 454 ^ _248685 : [(455 ^ _248685) ^ [] : [cyclefreeP(_263425), 458 ^ _248685 : [(459 ^ _248685) ^ [_263729] : [ssItem(_263729), 462 ^ _248685 : [(463 ^ _248685) ^ [_263921] : [ssItem(_263921), 466 ^ _248685 : [(467 ^ _248685) ^ [_264109] : [ssList(_264109), 470 ^ _248685 : [(471 ^ _248685) ^ [_264293] : [ssList(_264293), 474 ^ _248685 : [(475 ^ _248685) ^ [_264473] : [ssList(_264473), app(app(_264109, cons(_263729, _264293)), cons(_263921, _264473)) = _263425, leq(_263729, _263921), leq(_263921, _263729)]]]]]]]]]]], (489 ^ _248685) ^ [] : [491 ^ _248685 : [(498 ^ _248685) ^ [] : [-(ssList(496 ^ [_263425]))], (506 ^ _248685) ^ [] : [-(app(app(496 ^ [_263425], cons(490 ^ [_263425], 499 ^ [_263425])), cons(493 ^ [_263425], 502 ^ [_263425])) = _263425)], (492 ^ _248685) ^ [] : [-(ssItem(490 ^ [_263425]))], (508 ^ _248685) ^ [] : [-(leq(490 ^ [_263425], 493 ^ [_263425]))], (501 ^ _248685) ^ [] : [-(ssList(499 ^ [_263425]))], (504 ^ _248685) ^ [] : [-(ssList(502 ^ [_263425]))], (510 ^ _248685) ^ [] : [-(leq(493 ^ [_263425], 490 ^ [_263425]))], (495 ^ _248685) ^ [] : [-(ssItem(493 ^ [_263425]))]], -(cyclefreeP(_263425))]]], (1515 ^ _248685) ^ [] : [-(cyclefreeP(nil))], (1333 ^ _248685) ^ [_296365] : [ssList(_296365), 1336 ^ _248685 : [(1337 ^ _248685) ^ [_296517] : [ssList(_296517), 1340 ^ _248685 : [(1341 ^ _248685) ^ [_296665] : [ssList(_296665), -(rearsegP(_296365, _296665)), rearsegP(_296365, _296517), rearsegP(_296517, _296665)]]]]], (302 ^ _248685) ^ [] : [-(ssItem(300 ^ []))], (174 ^ _248685) ^ [_254190, _254192, _254194, _254196] : [-(leq(_254194, _254190)), leq(_254196, _254192), _254196 = _254194, _254192 = _254190], (1103 ^ _248685) ^ [_289122] : [ssItem(_289122), 1106 ^ _248685 : [(1107 ^ _248685) ^ [_289274] : [ssItem(_289274), 1110 ^ _248685 : [(1111 ^ _248685) ^ [_289422] : [ssItem(_289422), -(lt(_289122, _289422)), lt(_289122, _289274), lt(_289274, _289422)]]]]], (1955 ^ _248685) ^ [_315586] : [ssItem(_315586), 1958 ^ _248685 : [(1959 ^ _248685) ^ [_315738] : [ssItem(_315738), 1962 ^ _248685 : [(1963 ^ _248685) ^ [_315886] : [ssItem(_315886), -(gt(_315586, _315886)), gt(_315586, _315738), gt(_315738, _315886)]]]]], (893 ^ _248685) ^ [_282223] : [ssList(_282223), 896 ^ _248685 : [(897 ^ _248685) ^ [_282358] : [ssItem(_282358), cons(_282358, _282223) = _282223]]], (1205 ^ _248685) ^ [_292315] : [ssItem(_292315), memberP(nil, _292315)], (640 ^ _248685) ^ [_271739] : [ssList(_271739), 643 ^ _248685 : [(644 ^ _248685) ^ [] : [totalorderedP(_271739), 647 ^ _248685 : [(648 ^ _248685) ^ [_272035] : [ssItem(_272035), 651 ^ _248685 : [(652 ^ _248685) ^ [_272219] : [ssItem(_272219), 655 ^ _248685 : [(656 ^ _248685) ^ [_272399] : [ssList(_272399), 659 ^ _248685 : [(660 ^ _248685) ^ [_272575] : [ssList(_272575), 663 ^ _248685 : [(664 ^ _248685) ^ [_272747] : [ssList(_272747), app(app(_272399, cons(_272035, _272575)), cons(_272219, _272747)) = _271739, -(leq(_272035, _272219))]]]]]]]]]]], (674 ^ _248685) ^ [] : [676 ^ _248685 : [(683 ^ _248685) ^ [] : [-(ssList(681 ^ [_271739]))], (691 ^ _248685) ^ [] : [-(app(app(681 ^ [_271739], cons(675 ^ [_271739], 684 ^ [_271739])), cons(678 ^ [_271739], 687 ^ [_271739])) = _271739)], (693 ^ _248685) ^ [] : [leq(675 ^ [_271739], 678 ^ [_271739])], (686 ^ _248685) ^ [] : [-(ssList(684 ^ [_271739]))], (677 ^ _248685) ^ [] : [-(ssItem(675 ^ [_271739]))], (680 ^ _248685) ^ [] : [-(ssItem(678 ^ [_271739]))], (689 ^ _248685) ^ [] : [-(ssList(687 ^ [_271739]))]], -(totalorderedP(_271739))]]], (1654 ^ _248685) ^ [_306149] : [ssList(_306149), -(nil = _306149), 1662 ^ _248685 : [(1665 ^ _248685) ^ [] : [-(tl(_306149) = 1661 ^ [_306149])], (1663 ^ _248685) ^ [] : [-(ssList(1661 ^ [_306149]))]]], (4 ^ _248685) ^ [_248916, _248918] : [_248918 = _248916, -(_248916 = _248918)], (417 ^ _248685) ^ [_262176] : [ssList(_262176), 420 ^ _248685 : [(421 ^ _248685) ^ [_262338] : [ssList(_262338), 424 ^ _248685 : [(437 ^ _248685) ^ [] : [-(segmentP(_262176, _262338)), 438 ^ _248685 : [(439 ^ _248685) ^ [_262986] : [ssList(_262986), 442 ^ _248685 : [(443 ^ _248685) ^ [_263134] : [ssList(_263134), app(app(_262986, _262338), _263134) = _262176]]]]], (425 ^ _248685) ^ [] : [segmentP(_262176, _262338), 429 ^ _248685 : [(435 ^ _248685) ^ [] : [-(app(app(428 ^ [_262176, _262338], _262338), 431 ^ [_262176, _262338]) = _262176)], (433 ^ _248685) ^ [] : [-(ssList(431 ^ [_262176, _262338]))], (430 ^ _248685) ^ [] : [-(ssList(428 ^ [_262176, _262338]))]]]]]]], (1069 ^ _248685) ^ [_288106] : [ssItem(_288106), 1072 ^ _248685 : [(1073 ^ _248685) ^ [_288242] : [ssItem(_288242), 1076 ^ _248685 : [(1083 ^ _248685) ^ [] : [leq(_288242, _288106), -(geq(_288106, _288242))], (1077 ^ _248685) ^ [] : [geq(_288106, _288242), -(leq(_288242, _288106))]]]]], (212 ^ _248685) ^ [_255345, _255347] : [-(ssList(_255345)), _255347 = _255345, ssList(_255347)], (1175 ^ _248685) ^ [_291362] : [ssItem(_291362), 1178 ^ _248685 : [(1179 ^ _248685) ^ [_291517] : [ssItem(_291517), 1182 ^ _248685 : [(1183 ^ _248685) ^ [_291668] : [ssList(_291668), 1186 ^ _248685 : [(1187 ^ _248685) ^ [] : [memberP(cons(_291517, _291668), _291362), -(_291362 = _291517), -(memberP(_291668, _291362))], (1197 ^ _248685) ^ [] : [1198 ^ _248685 : [(1201 ^ _248685) ^ [] : [memberP(_291668, _291362)], (1199 ^ _248685) ^ [] : [_291362 = _291517]], -(memberP(cons(_291517, _291668), _291362))]]]]]]], (272 ^ _248685) ^ [_257357, _257359] : [_257359 = _257357, -(tl(_257359) = tl(_257357))], (1531 ^ _248685) ^ [] : [-(strictorderP(nil))], (1763 ^ _248685) ^ [_309732] : [ssList(_309732), 1766 ^ _248685 : [(1767 ^ _248685) ^ [_309877] : [ssList(_309877), 1770 ^ _248685 : [(1779 ^ _248685) ^ [] : [-(nil = app(_309732, _309877)), nil = _309877, nil = _309732], (1771 ^ _248685) ^ [] : [nil = app(_309732, _309877), 1774 ^ _248685 : [(1777 ^ _248685) ^ [] : [-(nil = _309732)], (1775 ^ _248685) ^ [] : [-(nil = _309877)]]]]]]], (1003 ^ _248685) ^ [_285965] : [ssList(_285965), 1006 ^ _248685 : [(1007 ^ _248685) ^ [_286117] : [ssList(_286117), 1010 ^ _248685 : [(1011 ^ _248685) ^ [_286265] : [ssItem(_286265), -(cons(_286265, app(_286117, _285965)) = app(cons(_286265, _286117), _285965))]]]]], (1509 ^ _248685) ^ [_301832] : [ssItem(_301832), -(cyclefreeP(cons(_301832, nil)))], (1539 ^ _248685) ^ [] : [-(totalorderedP(nil))], (1317 ^ _248685) ^ [_295937] : [ssList(_295937), 1320 ^ _248685 : [(1327 ^ _248685) ^ [] : [nil = _295937, -(frontsegP(nil, _295937))], (1321 ^ _248685) ^ [] : [frontsegP(nil, _295937), -(nil = _295937)]]], (1397 ^ _248685) ^ [_298381] : [ssList(_298381), -(rearsegP(_298381, nil))], (1585 ^ _248685) ^ [] : [-(strictorderedP(nil))], (96 ^ _248685) ^ [_251799, _251801] : [-(strictorderP(_251799)), _251801 = _251799, strictorderP(_251801)], (146 ^ _248685) ^ [_253302, _253304, _253306, _253308] : [-(geq(_253306, _253302)), geq(_253308, _253304), _253308 = _253306, _253304 = _253302], (881 ^ _248685) ^ [_281833] : [ssList(_281833), 884 ^ _248685 : [(885 ^ _248685) ^ [_281965] : [ssItem(_281965), -(ssList(cons(_281965, _281833)))]]], (1235 ^ _248685) ^ [_293256] : [ssList(_293256), 1238 ^ _248685 : [(1239 ^ _248685) ^ [_293398] : [ssList(_293398), -(_293256 = _293398), frontsegP(_293256, _293398), frontsegP(_293398, _293256)]]], (1915 ^ _248685) ^ [_314422] : [ssItem(_314422), 1918 ^ _248685 : [(1919 ^ _248685) ^ [_314566] : [ssItem(_314566), 1922 ^ _248685 : [(1931 ^ _248685) ^ [] : [-(lt(_314422, _314566)), -(_314422 = _314566), leq(_314422, _314566)], (1923 ^ _248685) ^ [] : [lt(_314422, _314566), 1926 ^ _248685 : [(1929 ^ _248685) ^ [] : [-(leq(_314422, _314566))], (1927 ^ _248685) ^ [] : [_314422 = _314566]]]]]]], (903 ^ _248685) ^ [_282566] : [ssList(_282566), 906 ^ _248685 : [(907 ^ _248685) ^ [_282734] : [ssList(_282734), 910 ^ _248685 : [(911 ^ _248685) ^ [_282898] : [ssItem(_282898), 914 ^ _248685 : [(915 ^ _248685) ^ [_283058] : [ssItem(_283058), cons(_282898, _282566) = cons(_283058, _282734), 922 ^ _248685 : [(925 ^ _248685) ^ [] : [-(_282734 = _282566)], (923 ^ _248685) ^ [] : [-(_282898 = _283058)]]]]]]]]], (304 ^ _248685) ^ [] : [297 ^ [] = 300 ^ []], (1631 ^ _248685) ^ [] : [-(duplicatefreeP(nil))], (1525 ^ _248685) ^ [_302322] : [ssItem(_302322), -(strictorderP(cons(_302322, nil)))], (160 ^ _248685) ^ [_253746, _253748, _253750, _253752] : [-(lt(_253750, _253746)), lt(_253752, _253748), _253752 = _253750, _253748 = _253746], (891 ^ _248685) ^ [] : [-(ssList(nil))], (983 ^ _248685) ^ [_285282] : [ssList(_285282), 986 ^ _248685 : [(987 ^ _248685) ^ [_285417] : [ssItem(_285417), -(tl(cons(_285417, _285282)) = _285282)]]], (86 ^ _248685) ^ [_251504, _251506] : [-(totalorderP(_251504)), _251506 = _251504, totalorderP(_251506)], (1277 ^ _248685) ^ [_294572] : [ssItem(_294572), 1280 ^ _248685 : [(1281 ^ _248685) ^ [_294740] : [ssItem(_294740), 1284 ^ _248685 : [(1285 ^ _248685) ^ [_294904] : [ssList(_294904), 1288 ^ _248685 : [(1289 ^ _248685) ^ [_295064] : [ssList(_295064), 1292 ^ _248685 : [(1301 ^ _248685) ^ [] : [-(frontsegP(cons(_294572, _294904), cons(_294740, _295064))), _294572 = _294740, frontsegP(_294904, _295064)], (1293 ^ _248685) ^ [] : [frontsegP(cons(_294572, _294904), cons(_294740, _295064)), 1296 ^ _248685 : [(1299 ^ _248685) ^ [] : [-(frontsegP(_294904, _295064))], (1297 ^ _248685) ^ [] : [-(_294572 = _294740)]]]]]]]]]]], (1703 ^ _248685) ^ [_307598] : [ssList(_307598), 1706 ^ _248685 : [(1707 ^ _248685) ^ [_307750] : [ssList(_307750), 1710 ^ _248685 : [(1711 ^ _248685) ^ [_307898] : [ssList(_307898), app(_307898, _307750) = app(_307598, _307750), -(_307898 = _307598)]]]]], (514 ^ _248685) ^ [_266211] : [ssList(_266211), 517 ^ _248685 : [(518 ^ _248685) ^ [] : [totalorderP(_266211), 521 ^ _248685 : [(522 ^ _248685) ^ [_266513] : [ssItem(_266513), 525 ^ _248685 : [(526 ^ _248685) ^ [_266703] : [ssItem(_266703), 529 ^ _248685 : [(530 ^ _248685) ^ [_266889] : [ssList(_266889), 533 ^ _248685 : [(534 ^ _248685) ^ [_267071] : [ssList(_267071), 537 ^ _248685 : [(538 ^ _248685) ^ [_267249] : [ssList(_267249), app(app(_266889, cons(_266513, _267071)), cons(_266703, _267249)) = _266211, -(leq(_266513, _266703)), -(leq(_266703, _266513))]]]]]]]]]]], (552 ^ _248685) ^ [] : [554 ^ _248685 : [(561 ^ _248685) ^ [] : [-(ssList(559 ^ [_266211]))], (569 ^ _248685) ^ [] : [-(app(app(559 ^ [_266211], cons(553 ^ [_266211], 562 ^ [_266211])), cons(556 ^ [_266211], 565 ^ [_266211])) = _266211)], (555 ^ _248685) ^ [] : [-(ssItem(553 ^ [_266211]))], (571 ^ _248685) ^ [] : [leq(553 ^ [_266211], 556 ^ [_266211])], (564 ^ _248685) ^ [] : [-(ssList(562 ^ [_266211]))], (567 ^ _248685) ^ [] : [-(ssList(565 ^ [_266211]))], (573 ^ _248685) ^ [] : [leq(556 ^ [_266211], 553 ^ [_266211])], (558 ^ _248685) ^ [] : [-(ssItem(556 ^ [_266211]))]], -(totalorderP(_266211))]]], (1419 ^ _248685) ^ [_298997] : [ssList(_298997), 1422 ^ _248685 : [(1423 ^ _248685) ^ [_299149] : [ssList(_299149), 1426 ^ _248685 : [(1427 ^ _248685) ^ [_299297] : [ssList(_299297), -(segmentP(_298997, _299297)), segmentP(_298997, _299149), segmentP(_299149, _299297)]]]]], (1641 ^ _248685) ^ [_305735] : [ssList(_305735), -(nil = _305735), 1649 ^ _248685 : [(1652 ^ _248685) ^ [] : [-(hd(_305735) = 1648 ^ [_305735])], (1650 ^ _248685) ^ [] : [-(ssItem(1648 ^ [_305735]))]]], (222 ^ _248685) ^ [_255640, _255642] : [-(singletonP(_255640)), _255642 = _255640, singletonP(_255642)], (126 ^ _248685) ^ [_252684, _252686] : [-(duplicatefreeP(_252684)), _252686 = _252684, duplicatefreeP(_252686)]], input).
% 44.20/43.76 ncf('1',plain,[1997 : -(singletonP(1982 ^ [])), 2003 : neq(1985 ^ [], nil)],start(1993 ^ 0)).
% 44.20/43.76 ncf('1.1',plain,[singletonP(1982 ^ []), -(singletonP(1976 ^ [])), 1982 ^ [] = 1976 ^ []],extension(222 ^ 3,bind([[_255640, _255642], [1976 ^ [], 1982 ^ []]]))).
% 44.20/43.76 ncf('1.1.1',plain,[singletonP(1976 ^ [])],extension(1999 ^ 4)).
% 44.20/43.76 ncf('1.1.2',plain,[-(1982 ^ [] = 1976 ^ []), 1976 ^ [] = 1982 ^ []],extension(4 ^ 4,bind([[_248916, _248918], [1982 ^ [], 1976 ^ []]]))).
% 44.20/43.76 ncf('1.1.2.1',plain,[-(1976 ^ [] = 1982 ^ [])],extension(1991 ^ 5)).
% 44.20/43.76 ncf('1.2',plain,[-(neq(1985 ^ [], nil)), neq(1979 ^ [], nil), 1979 ^ [] = 1985 ^ [], nil = nil],extension(232 ^ 3,bind([[_255943, _255945, _255947, _255949], [nil, nil, 1985 ^ [], 1979 ^ []]]))).
% 44.20/43.76 ncf('1.2.1',plain,[-(neq(1979 ^ [], nil))],extension(2001 ^ 4)).
% 44.20/43.76 ncf('1.2.2',plain,[-(1979 ^ [] = 1985 ^ [])],extension(1989 ^ 4)).
% 44.20/43.76 ncf('1.2.3',plain,[-(nil = nil)],extension(2 ^ 4,bind([[_248809], [nil]]))).
% 44.20/43.76 %-----------------------------------------------------
% 44.20/43.76 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------