TSTP Solution File: SWC036+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SWC036+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n023.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 12:12:19 EDT 2023
% Result : Theorem 45.09s 43.76s
% Output : Proof 45.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SWC036+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n023.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 01:30:44 EDT 2023
% 0.12/0.33 % CPUTime :
% 45.09/43.76
% 45.09/43.76 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 45.09/43.76 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 45.09/43.76 %-----------------------------------------------------
% 45.09/43.76 ncf(matrix, plain, [(1989 ^ _316111) ^ [] : [-(nil = 1979 ^ [])], (1978 ^ _316111) ^ [] : [-(ssList(1976 ^ []))], (1981 ^ _316111) ^ [] : [-(ssList(1979 ^ []))], (1993 ^ _316111) ^ [] : [-(1976 ^ [] = 1982 ^ [])], (1991 ^ _316111) ^ [] : [-(1979 ^ [] = 1985 ^ [])], (1997 ^ _316111) ^ [] : [-(nil = 1982 ^ []), nil = 1985 ^ []], (1987 ^ _316111) ^ [] : [-(ssList(1985 ^ []))], (1995 ^ _316111) ^ [] : [nil = 1976 ^ []], (1984 ^ _316111) ^ [] : [-(ssList(1982 ^ []))], !, (861 ^ _247804) ^ [_280361] : [ssList(_280361), 864 ^ _247804 : [(865 ^ _247804) ^ [_280499] : [ssList(_280499), 868 ^ _247804 : [(875 ^ _247804) ^ [] : [-(_280361 = _280499), -(neq(_280361, _280499))], (869 ^ _247804) ^ [] : [neq(_280361, _280499), _280361 = _280499]]]]], (256 ^ _247804) ^ [_255919, _255921] : [_255921 = _255919, -(hd(_255921) = hd(_255919))], (72 ^ _247804) ^ [_250207, _250209, _250211, _250213] : [-(rearsegP(_250211, _250207)), rearsegP(_250213, _250209), _250213 = _250211, _250209 = _250207], (1355 ^ _247804) ^ [_296184] : [ssList(_296184), 1358 ^ _247804 : [(1359 ^ _247804) ^ [_296326] : [ssList(_296326), -(_296184 = _296326), rearsegP(_296184, _296326), rearsegP(_296326, _296184)]]], (1459 ^ _247804) ^ [_299337] : [ssList(_299337), -(segmentP(_299337, _299337))], (110 ^ _247804) ^ [_251362, _251364] : [-(totalorderP(_251362)), _251364 = _251362, totalorderP(_251364)], (58 ^ _247804) ^ [_249763, _249765, _249767, _249769] : [-(frontsegP(_249767, _249763)), frontsegP(_249769, _249765), _249769 = _249767, _249765 = _249763], (943 ^ _247804) ^ [_283156] : [ssList(_283156), 946 ^ _247804 : [(947 ^ _247804) ^ [_283291] : [ssItem(_283291), nil = cons(_283291, _283156)]]], (1869 ^ _247804) ^ [_312130] : [ssItem(_312130), lt(_312130, _312130)], (140 ^ _247804) ^ [_252247, _252249] : [-(strictorderedP(_252247)), _252249 = _252247, strictorderedP(_252249)], (222 ^ _247804) ^ [_254787, _254789, _254791, _254793] : [-(gt(_254791, _254787)), gt(_254793, _254789), _254793 = _254791, _254789 = _254787], (2 ^ _247804) ^ [_247928] : [-(_247928 = _247928)], (1633 ^ _247804) ^ [_304609] : [ssItem(_304609), -(equalelemsP(cons(_304609, nil)))], (262 ^ _247804) ^ [_256165, _256167, _256169, _256171] : [-(app(_256171, _256167) = app(_256169, _256165)), _256171 = _256169, _256167 = _256165], (1145 ^ _247804) ^ [_289528] : [ssItem(_289528), 1148 ^ _247804 : [(1149 ^ _247804) ^ [_289683] : [ssList(_289683), 1152 ^ _247804 : [(1153 ^ _247804) ^ [_289834] : [ssList(_289834), 1156 ^ _247804 : [(1157 ^ _247804) ^ [] : [memberP(app(_289683, _289834), _289528), -(memberP(_289683, _289528)), -(memberP(_289834, _289528))], (1167 ^ _247804) ^ [] : [1168 ^ _247804 : [(1171 ^ _247804) ^ [] : [memberP(_289834, _289528)], (1169 ^ _247804) ^ [] : [memberP(_289683, _289528)]], -(memberP(app(_289683, _289834), _289528))]]]]]]], (278 ^ _247804) ^ [_256698] : [ssItem(_256698), 281 ^ _247804 : [(282 ^ _247804) ^ [_256836] : [ssItem(_256836), 285 ^ _247804 : [(292 ^ _247804) ^ [] : [-(_256698 = _256836), -(neq(_256698, _256836))], (286 ^ _247804) ^ [] : [neq(_256698, _256836), _256698 = _256836]]]]], (1213 ^ _247804) ^ [_291675] : [ssList(_291675), 1216 ^ _247804 : [(1217 ^ _247804) ^ [_291827] : [ssList(_291827), 1220 ^ _247804 : [(1221 ^ _247804) ^ [_291975] : [ssList(_291975), -(frontsegP(_291675, _291975)), frontsegP(_291675, _291827), frontsegP(_291827, _291975)]]]]], (390 ^ _247804) ^ [_260399] : [ssList(_260399), 393 ^ _247804 : [(394 ^ _247804) ^ [_260548] : [ssList(_260548), 397 ^ _247804 : [(407 ^ _247804) ^ [] : [-(rearsegP(_260399, _260548)), 408 ^ _247804 : [(409 ^ _247804) ^ [_261023] : [ssList(_261023), app(_261023, _260548) = _260399]]], (398 ^ _247804) ^ [] : [rearsegP(_260399, _260548), 402 ^ _247804 : [(405 ^ _247804) ^ [] : [-(app(401 ^ [_260399, _260548], _260548) = _260399)], (403 ^ _247804) ^ [] : [-(ssList(401 ^ [_260399, _260548]))]]]]]]], (1017 ^ _247804) ^ [_285622] : [ssList(_285622), -(app(nil, _285622) = _285622)], (1063 ^ _247804) ^ [_287037] : [ssItem(_287037), -(leq(_287037, _287037))], (1749 ^ _247804) ^ [_308313] : [ssList(_308313), 1752 ^ _247804 : [(1753 ^ _247804) ^ [_308465] : [ssList(_308465), 1756 ^ _247804 : [(1757 ^ _247804) ^ [_308613] : [ssList(_308613), -(app(app(_308313, _308465), _308613) = app(_308313, app(_308465, _308613)))]]]]], (1465 ^ _247804) ^ [_299525] : [ssList(_299525), 1468 ^ _247804 : [(1469 ^ _247804) ^ [_299687] : [ssList(_299687), 1472 ^ _247804 : [(1473 ^ _247804) ^ [_299845] : [ssList(_299845), 1476 ^ _247804 : [(1477 ^ _247804) ^ [_299999] : [ssList(_299999), segmentP(_299525, _299687), -(segmentP(app(app(_299845, _299525), _299999), _299687))]]]]]]], (1809 ^ _247804) ^ [_310260] : [ssList(_310260), 1812 ^ _247804 : [(1813 ^ _247804) ^ [_310408] : [ssList(_310408), -(nil = _310260), -(tl(app(_310260, _310408)) = app(tl(_310260), _310408))]]], (1211 ^ _247804) ^ [] : [singletonP(nil)], (1379 ^ _247804) ^ [_296893] : [ssList(_296893), 1382 ^ _247804 : [(1383 ^ _247804) ^ [_297042] : [ssList(_297042), 1386 ^ _247804 : [(1387 ^ _247804) ^ [_297187] : [ssList(_297187), rearsegP(_296893, _297042), -(rearsegP(app(_297187, _296893), _297042))]]]]], (993 ^ _247804) ^ [_284747] : [ssList(_284747), 996 ^ _247804 : [(997 ^ _247804) ^ [_284879] : [ssList(_284879), -(ssList(app(_284747, _284879)))]]], (1517 ^ _247804) ^ [_301196] : [ssItem(_301196), -(totalorderP(cons(_301196, nil)))], (1253 ^ _247804) ^ [_292896] : [ssList(_292896), -(frontsegP(_292896, _292896))], (1487 ^ _247804) ^ [_300335] : [ssList(_300335), -(segmentP(_300335, nil))], (34 ^ _247804) ^ [_249024, _249026, _249028, _249030] : [-(memberP(_249028, _249024)), memberP(_249030, _249026), _249030 = _249028, _249026 = _249024], (1311 ^ _247804) ^ [_294868] : [ssList(_294868), -(frontsegP(_294868, nil))], (1023 ^ _247804) ^ [_285816] : [ssItem(_285816), 1026 ^ _247804 : [(1027 ^ _247804) ^ [_285958] : [ssItem(_285958), -(_285816 = _285958), leq(_285816, _285958), leq(_285958, _285816)]]], (1403 ^ _247804) ^ [_297688] : [ssList(_297688), 1406 ^ _247804 : [(1413 ^ _247804) ^ [] : [nil = _297688, -(rearsegP(nil, _297688))], (1407 ^ _247804) ^ [] : [rearsegP(nil, _297688), -(nil = _297688)]]], (1579 ^ _247804) ^ [_303025] : [ssItem(_303025), -(strictorderedP(cons(_303025, nil)))], (184 ^ _247804) ^ [_253604, _253606, _253608, _253610] : [-(lt(_253608, _253604)), lt(_253610, _253606), _253610 = _253608, _253606 = _253604], (754 ^ _247804) ^ [_275834] : [ssList(_275834), 757 ^ _247804 : [(758 ^ _247804) ^ [] : [duplicatefreeP(_275834), 761 ^ _247804 : [(762 ^ _247804) ^ [_276132] : [ssItem(_276132), 765 ^ _247804 : [(766 ^ _247804) ^ [_276318] : [ssItem(_276318), 769 ^ _247804 : [(770 ^ _247804) ^ [_276500] : [ssList(_276500), 773 ^ _247804 : [(774 ^ _247804) ^ [_276678] : [ssList(_276678), 777 ^ _247804 : [(778 ^ _247804) ^ [_276852] : [ssList(_276852), app(app(_276500, cons(_276132, _276678)), cons(_276318, _276852)) = _275834, _276132 = _276318]]]]]]]]]]], (788 ^ _247804) ^ [] : [790 ^ _247804 : [(797 ^ _247804) ^ [] : [-(ssList(795 ^ [_275834]))], (805 ^ _247804) ^ [] : [-(app(app(795 ^ [_275834], cons(789 ^ [_275834], 798 ^ [_275834])), cons(792 ^ [_275834], 801 ^ [_275834])) = _275834)], (807 ^ _247804) ^ [] : [-(789 ^ [_275834] = 792 ^ [_275834])], (800 ^ _247804) ^ [] : [-(ssList(798 ^ [_275834]))], (791 ^ _247804) ^ [] : [-(ssItem(789 ^ [_275834]))], (794 ^ _247804) ^ [] : [-(ssItem(792 ^ [_275834]))], (803 ^ _247804) ^ [] : [-(ssList(801 ^ [_275834]))]], -(duplicatefreeP(_275834))]]], (963 ^ _247804) ^ [_283777] : [ssList(_283777), 966 ^ _247804 : [(967 ^ _247804) ^ [_283912] : [ssItem(_283912), -(hd(cons(_283912, _283777)) = _283912)]]], (1089 ^ _247804) ^ [_287812] : [ssItem(_287812), 1092 ^ _247804 : [(1093 ^ _247804) ^ [_287950] : [ssItem(_287950), lt(_287812, _287950), lt(_287950, _287812)]]], (1739 ^ _247804) ^ [_307955] : [ssList(_307955), 1742 ^ _247804 : [(1743 ^ _247804) ^ [_308094] : [ssItem(_308094), -(cons(_308094, _307955) = app(cons(_308094, nil), _307955))]]], (1441 ^ _247804) ^ [_298816] : [ssList(_298816), 1444 ^ _247804 : [(1445 ^ _247804) ^ [_298958] : [ssList(_298958), -(_298816 = _298958), segmentP(_298816, _298958), segmentP(_298958, _298816)]]], (1259 ^ _247804) ^ [_293084] : [ssList(_293084), 1262 ^ _247804 : [(1263 ^ _247804) ^ [_293233] : [ssList(_293233), 1266 ^ _247804 : [(1267 ^ _247804) ^ [_293378] : [ssList(_293378), frontsegP(_293084, _293233), -(frontsegP(app(_293084, _293378), _293233))]]]]], (1875 ^ _247804) ^ [_312319] : [ssItem(_312319), 1878 ^ _247804 : [(1879 ^ _247804) ^ [_312471] : [ssItem(_312471), 1882 ^ _247804 : [(1883 ^ _247804) ^ [_312619] : [ssItem(_312619), -(lt(_312319, _312619)), leq(_312319, _312471), lt(_312471, _312619)]]]]], (1541 ^ _247804) ^ [_301931] : [ssItem(_301931), 1544 ^ _247804 : [(1545 ^ _247804) ^ [_302090] : [ssList(_302090), 1548 ^ _247804 : [(1563 ^ _247804) ^ [] : [-(totalorderedP(cons(_301931, _302090))), 1564 ^ _247804 : [(1567 ^ _247804) ^ [] : [-(nil = _302090), totalorderedP(_302090), leq(_301931, hd(_302090))], (1565 ^ _247804) ^ [] : [nil = _302090]]], (1549 ^ _247804) ^ [] : [totalorderedP(cons(_301931, _302090)), -(nil = _302090), 1556 ^ _247804 : [(1561 ^ _247804) ^ [] : [-(leq(_301931, hd(_302090)))], (1559 ^ _247804) ^ [] : [-(totalorderedP(_302090))], (1557 ^ _247804) ^ [] : [nil = _302090]]]]]]], (1721 ^ _247804) ^ [_307336] : [ssList(_307336), 1724 ^ _247804 : [(1725 ^ _247804) ^ [_307488] : [ssList(_307488), 1728 ^ _247804 : [(1729 ^ _247804) ^ [_307636] : [ssList(_307636), app(_307488, _307636) = app(_307488, _307336), -(_307636 = _307336)]]]]], (340 ^ _247804) ^ [_258798] : [ssList(_258798), 343 ^ _247804 : [(353 ^ _247804) ^ [] : [-(singletonP(_258798)), 354 ^ _247804 : [(355 ^ _247804) ^ [_259247] : [ssItem(_259247), cons(_259247, nil) = _258798]]], (344 ^ _247804) ^ [] : [singletonP(_258798), 348 ^ _247804 : [(351 ^ _247804) ^ [] : [-(cons(347 ^ [_258798], nil) = _258798)], (349 ^ _247804) ^ [] : [-(ssItem(347 ^ [_258798]))]]]]], (1041 ^ _247804) ^ [_286337] : [ssItem(_286337), 1044 ^ _247804 : [(1045 ^ _247804) ^ [_286489] : [ssItem(_286489), 1048 ^ _247804 : [(1049 ^ _247804) ^ [_286637] : [ssItem(_286637), -(leq(_286337, _286637)), leq(_286337, _286489), leq(_286489, _286637)]]]]], (246 ^ _247804) ^ [_255588, _255590, _255592, _255594] : [-(cons(_255594, _255590) = cons(_255592, _255588)), _255594 = _255592, _255590 = _255588], (1533 ^ _247804) ^ [_301686] : [ssItem(_301686), -(totalorderedP(cons(_301686, nil)))], (927 ^ _247804) ^ [_282592] : [ssList(_282592), -(nil = _282592), 935 ^ _247804 : [(941 ^ _247804) ^ [] : [-(cons(937 ^ [_282592], 934 ^ [_282592]) = _282592)], (939 ^ _247804) ^ [] : [-(ssItem(937 ^ [_282592]))], (936 ^ _247804) ^ [] : [-(ssList(934 ^ [_282592]))]]], (1493 ^ _247804) ^ [_300523] : [ssList(_300523), 1496 ^ _247804 : [(1503 ^ _247804) ^ [] : [nil = _300523, -(segmentP(nil, _300523))], (1497 ^ _247804) ^ [] : [segmentP(nil, _300523), -(nil = _300523)]]], (363 ^ _247804) ^ [_259503] : [ssList(_259503), 366 ^ _247804 : [(367 ^ _247804) ^ [_259652] : [ssList(_259652), 370 ^ _247804 : [(380 ^ _247804) ^ [] : [-(frontsegP(_259503, _259652)), 381 ^ _247804 : [(382 ^ _247804) ^ [_260127] : [ssList(_260127), app(_259652, _260127) = _259503]]], (371 ^ _247804) ^ [] : [frontsegP(_259503, _259652), 375 ^ _247804 : [(378 ^ _247804) ^ [] : [-(app(_259652, 374 ^ [_259503, _259652]) = _259503)], (376 ^ _247804) ^ [] : [-(ssList(374 ^ [_259503, _259652]))]]]]]]], (306 ^ _247804) ^ [_257549] : [ssList(_257549), 309 ^ _247804 : [(310 ^ _247804) ^ [_257711] : [ssItem(_257711), 313 ^ _247804 : [(326 ^ _247804) ^ [] : [-(memberP(_257549, _257711)), 327 ^ _247804 : [(328 ^ _247804) ^ [_258359] : [ssList(_258359), 331 ^ _247804 : [(332 ^ _247804) ^ [_258507] : [ssList(_258507), app(_258359, cons(_257711, _258507)) = _257549]]]]], (314 ^ _247804) ^ [] : [memberP(_257549, _257711), 318 ^ _247804 : [(324 ^ _247804) ^ [] : [-(app(317 ^ [_257549, _257711], cons(_257711, 320 ^ [_257549, _257711])) = _257549)], (322 ^ _247804) ^ [] : [-(ssList(320 ^ [_257549, _257711]))], (319 ^ _247804) ^ [] : [-(ssList(317 ^ [_257549, _257711]))]]]]]]], (1693 ^ _247804) ^ [_306427] : [ssList(_306427), -(nil = _306427), -(cons(hd(_306427), tl(_306427)) = _306427)], (811 ^ _247804) ^ [_278344] : [ssList(_278344), 814 ^ _247804 : [(815 ^ _247804) ^ [] : [equalelemsP(_278344), 818 ^ _247804 : [(819 ^ _247804) ^ [_278627] : [ssItem(_278627), 822 ^ _247804 : [(823 ^ _247804) ^ [_278798] : [ssItem(_278798), 826 ^ _247804 : [(827 ^ _247804) ^ [_278965] : [ssList(_278965), 830 ^ _247804 : [(831 ^ _247804) ^ [_279128] : [ssList(_279128), app(_278965, cons(_278627, cons(_278798, _279128))) = _278344, -(_278627 = _278798)]]]]]]]]], (841 ^ _247804) ^ [] : [843 ^ _247804 : [(847 ^ _247804) ^ [] : [-(ssItem(845 ^ [_278344]))], (844 ^ _247804) ^ [] : [-(ssItem(842 ^ [_278344]))], (857 ^ _247804) ^ [] : [842 ^ [_278344] = 845 ^ [_278344]], (853 ^ _247804) ^ [] : [-(ssList(851 ^ [_278344]))], (855 ^ _247804) ^ [] : [-(app(848 ^ [_278344], cons(842 ^ [_278344], cons(845 ^ [_278344], 851 ^ [_278344]))) = _278344)], (850 ^ _247804) ^ [] : [-(ssList(848 ^ [_278344]))]], -(equalelemsP(_278344))]]], (1125 ^ _247804) ^ [_288941] : [ssItem(_288941), 1128 ^ _247804 : [(1129 ^ _247804) ^ [_289077] : [ssItem(_289077), 1132 ^ _247804 : [(1139 ^ _247804) ^ [] : [lt(_289077, _288941), -(gt(_288941, _289077))], (1133 ^ _247804) ^ [] : [gt(_288941, _289077), -(lt(_289077, _288941))]]]]], (973 ^ _247804) ^ [_284123] : [ssList(_284123), -(nil = _284123), -(ssList(tl(_284123)))], (1823 ^ _247804) ^ [_310721] : [ssItem(_310721), 1826 ^ _247804 : [(1827 ^ _247804) ^ [_310863] : [ssItem(_310863), -(_310721 = _310863), geq(_310721, _310863), geq(_310863, _310721)]]], (953 ^ _247804) ^ [_283499] : [ssList(_283499), -(nil = _283499), -(ssItem(hd(_283499)))], (1667 ^ _247804) ^ [_305682] : [ssList(_305682), 1670 ^ _247804 : [(1671 ^ _247804) ^ [_305848] : [ssList(_305848), -(_305848 = _305682), -(nil = _305848), -(nil = _305682), hd(_305848) = hd(_305682), tl(_305848) = tl(_305682)]]], (1841 ^ _247804) ^ [_311242] : [ssItem(_311242), 1844 ^ _247804 : [(1845 ^ _247804) ^ [_311394] : [ssItem(_311394), 1848 ^ _247804 : [(1849 ^ _247804) ^ [_311542] : [ssItem(_311542), -(geq(_311242, _311542)), geq(_311242, _311394), geq(_311394, _311542)]]]]], (1897 ^ _247804) ^ [_313019] : [ssItem(_313019), 1900 ^ _247804 : [(1901 ^ _247804) ^ [_313161] : [ssItem(_313161), leq(_313019, _313161), -(_313019 = _313161), -(lt(_313019, _313161))]]], (1639 ^ _247804) ^ [] : [-(equalelemsP(nil))], (1863 ^ _247804) ^ [_311942] : [ssItem(_311942), -(geq(_311942, _311942))], (1625 ^ _247804) ^ [_304364] : [ssItem(_304364), -(duplicatefreeP(cons(_304364, nil)))], (577 ^ _247804) ^ [_268094] : [ssList(_268094), 580 ^ _247804 : [(581 ^ _247804) ^ [] : [strictorderP(_268094), 584 ^ _247804 : [(585 ^ _247804) ^ [_268396] : [ssItem(_268396), 588 ^ _247804 : [(589 ^ _247804) ^ [_268586] : [ssItem(_268586), 592 ^ _247804 : [(593 ^ _247804) ^ [_268772] : [ssList(_268772), 596 ^ _247804 : [(597 ^ _247804) ^ [_268954] : [ssList(_268954), 600 ^ _247804 : [(601 ^ _247804) ^ [_269132] : [ssList(_269132), app(app(_268772, cons(_268396, _268954)), cons(_268586, _269132)) = _268094, -(lt(_268396, _268586)), -(lt(_268586, _268396))]]]]]]]]]]], (615 ^ _247804) ^ [] : [617 ^ _247804 : [(624 ^ _247804) ^ [] : [-(ssList(622 ^ [_268094]))], (632 ^ _247804) ^ [] : [-(app(app(622 ^ [_268094], cons(616 ^ [_268094], 625 ^ [_268094])), cons(619 ^ [_268094], 628 ^ [_268094])) = _268094)], (618 ^ _247804) ^ [] : [-(ssItem(616 ^ [_268094]))], (634 ^ _247804) ^ [] : [lt(616 ^ [_268094], 619 ^ [_268094])], (627 ^ _247804) ^ [] : [-(ssList(625 ^ [_268094]))], (630 ^ _247804) ^ [] : [-(ssList(628 ^ [_268094]))], (636 ^ _247804) ^ [] : [lt(619 ^ [_268094], 616 ^ [_268094])], (621 ^ _247804) ^ [] : [-(ssItem(619 ^ [_268094]))]], -(strictorderP(_268094))]]], (48 ^ _247804) ^ [_249440, _249442] : [-(singletonP(_249440)), _249442 = _249440, singletonP(_249442)], (1795 ^ _247804) ^ [_309808] : [ssList(_309808), 1798 ^ _247804 : [(1799 ^ _247804) ^ [_309953] : [ssList(_309953), -(nil = _309808), -(hd(app(_309808, _309953)) = hd(_309808))]]], (20 ^ _247804) ^ [_248580, _248582, _248584, _248586] : [-(neq(_248584, _248580)), neq(_248586, _248582), _248586 = _248584, _248582 = _248580], (1523 ^ _247804) ^ [] : [-(totalorderP(nil))], (1789 ^ _247804) ^ [_309614] : [ssList(_309614), -(app(_309614, nil) = _309614)], (697 ^ _247804) ^ [_273346] : [ssList(_273346), 700 ^ _247804 : [(701 ^ _247804) ^ [] : [strictorderedP(_273346), 704 ^ _247804 : [(705 ^ _247804) ^ [_273642] : [ssItem(_273642), 708 ^ _247804 : [(709 ^ _247804) ^ [_273826] : [ssItem(_273826), 712 ^ _247804 : [(713 ^ _247804) ^ [_274006] : [ssList(_274006), 716 ^ _247804 : [(717 ^ _247804) ^ [_274182] : [ssList(_274182), 720 ^ _247804 : [(721 ^ _247804) ^ [_274354] : [ssList(_274354), app(app(_274006, cons(_273642, _274182)), cons(_273826, _274354)) = _273346, -(lt(_273642, _273826))]]]]]]]]]]], (731 ^ _247804) ^ [] : [733 ^ _247804 : [(740 ^ _247804) ^ [] : [-(ssList(738 ^ [_273346]))], (748 ^ _247804) ^ [] : [-(app(app(738 ^ [_273346], cons(732 ^ [_273346], 741 ^ [_273346])), cons(735 ^ [_273346], 744 ^ [_273346])) = _273346)], (750 ^ _247804) ^ [] : [lt(732 ^ [_273346], 735 ^ [_273346])], (743 ^ _247804) ^ [] : [-(ssList(741 ^ [_273346]))], (734 ^ _247804) ^ [] : [-(ssItem(732 ^ [_273346]))], (737 ^ _247804) ^ [] : [-(ssItem(735 ^ [_273346]))], (746 ^ _247804) ^ [] : [-(ssList(744 ^ [_273346]))]], -(strictorderedP(_273346))]]], (198 ^ _247804) ^ [_254048, _254050, _254052, _254054] : [-(leq(_254052, _254048)), leq(_254054, _254050), _254054 = _254052, _254050 = _254048], (1373 ^ _247804) ^ [_296705] : [ssList(_296705), -(rearsegP(_296705, _296705))], (120 ^ _247804) ^ [_251657, _251659] : [-(strictorderP(_251657)), _251659 = _251657, strictorderP(_251659)], (10 ^ _247804) ^ [_248239, _248241, _248243] : [-(_248243 = _248239), _248243 = _248241, _248241 = _248239], (1941 ^ _247804) ^ [_314296] : [ssItem(_314296), 1944 ^ _247804 : [(1945 ^ _247804) ^ [_314434] : [ssItem(_314434), gt(_314296, _314434), gt(_314434, _314296)]]], (1587 ^ _247804) ^ [_303270] : [ssItem(_303270), 1590 ^ _247804 : [(1591 ^ _247804) ^ [_303429] : [ssList(_303429), 1594 ^ _247804 : [(1609 ^ _247804) ^ [] : [-(strictorderedP(cons(_303270, _303429))), 1610 ^ _247804 : [(1613 ^ _247804) ^ [] : [-(nil = _303429), strictorderedP(_303429), lt(_303270, hd(_303429))], (1611 ^ _247804) ^ [] : [nil = _303429]]], (1595 ^ _247804) ^ [] : [strictorderedP(cons(_303270, _303429)), -(nil = _303429), 1602 ^ _247804 : [(1607 ^ _247804) ^ [] : [-(lt(_303270, hd(_303429)))], (1605 ^ _247804) ^ [] : [-(strictorderedP(_303429))], (1603 ^ _247804) ^ [] : [nil = _303429]]]]]]], (299 ^ _247804) ^ [] : [-(ssItem(297 ^ []))], (451 ^ _247804) ^ [_262544] : [ssList(_262544), 454 ^ _247804 : [(455 ^ _247804) ^ [] : [cyclefreeP(_262544), 458 ^ _247804 : [(459 ^ _247804) ^ [_262848] : [ssItem(_262848), 462 ^ _247804 : [(463 ^ _247804) ^ [_263040] : [ssItem(_263040), 466 ^ _247804 : [(467 ^ _247804) ^ [_263228] : [ssList(_263228), 470 ^ _247804 : [(471 ^ _247804) ^ [_263412] : [ssList(_263412), 474 ^ _247804 : [(475 ^ _247804) ^ [_263592] : [ssList(_263592), app(app(_263228, cons(_262848, _263412)), cons(_263040, _263592)) = _262544, leq(_262848, _263040), leq(_263040, _262848)]]]]]]]]]]], (489 ^ _247804) ^ [] : [491 ^ _247804 : [(498 ^ _247804) ^ [] : [-(ssList(496 ^ [_262544]))], (506 ^ _247804) ^ [] : [-(app(app(496 ^ [_262544], cons(490 ^ [_262544], 499 ^ [_262544])), cons(493 ^ [_262544], 502 ^ [_262544])) = _262544)], (492 ^ _247804) ^ [] : [-(ssItem(490 ^ [_262544]))], (508 ^ _247804) ^ [] : [-(leq(490 ^ [_262544], 493 ^ [_262544]))], (501 ^ _247804) ^ [] : [-(ssList(499 ^ [_262544]))], (504 ^ _247804) ^ [] : [-(ssList(502 ^ [_262544]))], (510 ^ _247804) ^ [] : [-(leq(493 ^ [_262544], 490 ^ [_262544]))], (495 ^ _247804) ^ [] : [-(ssItem(493 ^ [_262544]))]], -(cyclefreeP(_262544))]]], (1515 ^ _247804) ^ [] : [-(cyclefreeP(nil))], (1333 ^ _247804) ^ [_295484] : [ssList(_295484), 1336 ^ _247804 : [(1337 ^ _247804) ^ [_295636] : [ssList(_295636), 1340 ^ _247804 : [(1341 ^ _247804) ^ [_295784] : [ssList(_295784), -(rearsegP(_295484, _295784)), rearsegP(_295484, _295636), rearsegP(_295636, _295784)]]]]], (302 ^ _247804) ^ [] : [-(ssItem(300 ^ []))], (170 ^ _247804) ^ [_253160, _253162, _253164, _253166] : [-(geq(_253164, _253160)), geq(_253166, _253162), _253166 = _253164, _253162 = _253160], (1103 ^ _247804) ^ [_288241] : [ssItem(_288241), 1106 ^ _247804 : [(1107 ^ _247804) ^ [_288393] : [ssItem(_288393), 1110 ^ _247804 : [(1111 ^ _247804) ^ [_288541] : [ssItem(_288541), -(lt(_288241, _288541)), lt(_288241, _288393), lt(_288393, _288541)]]]]], (1955 ^ _247804) ^ [_314705] : [ssItem(_314705), 1958 ^ _247804 : [(1959 ^ _247804) ^ [_314857] : [ssItem(_314857), 1962 ^ _247804 : [(1963 ^ _247804) ^ [_315005] : [ssItem(_315005), -(gt(_314705, _315005)), gt(_314705, _314857), gt(_314857, _315005)]]]]], (893 ^ _247804) ^ [_281342] : [ssList(_281342), 896 ^ _247804 : [(897 ^ _247804) ^ [_281477] : [ssItem(_281477), cons(_281477, _281342) = _281342]]], (1205 ^ _247804) ^ [_291434] : [ssItem(_291434), memberP(nil, _291434)], (640 ^ _247804) ^ [_270858] : [ssList(_270858), 643 ^ _247804 : [(644 ^ _247804) ^ [] : [totalorderedP(_270858), 647 ^ _247804 : [(648 ^ _247804) ^ [_271154] : [ssItem(_271154), 651 ^ _247804 : [(652 ^ _247804) ^ [_271338] : [ssItem(_271338), 655 ^ _247804 : [(656 ^ _247804) ^ [_271518] : [ssList(_271518), 659 ^ _247804 : [(660 ^ _247804) ^ [_271694] : [ssList(_271694), 663 ^ _247804 : [(664 ^ _247804) ^ [_271866] : [ssList(_271866), app(app(_271518, cons(_271154, _271694)), cons(_271338, _271866)) = _270858, -(leq(_271154, _271338))]]]]]]]]]]], (674 ^ _247804) ^ [] : [676 ^ _247804 : [(683 ^ _247804) ^ [] : [-(ssList(681 ^ [_270858]))], (691 ^ _247804) ^ [] : [-(app(app(681 ^ [_270858], cons(675 ^ [_270858], 684 ^ [_270858])), cons(678 ^ [_270858], 687 ^ [_270858])) = _270858)], (693 ^ _247804) ^ [] : [leq(675 ^ [_270858], 678 ^ [_270858])], (686 ^ _247804) ^ [] : [-(ssList(684 ^ [_270858]))], (677 ^ _247804) ^ [] : [-(ssItem(675 ^ [_270858]))], (680 ^ _247804) ^ [] : [-(ssItem(678 ^ [_270858]))], (689 ^ _247804) ^ [] : [-(ssList(687 ^ [_270858]))]], -(totalorderedP(_270858))]]], (1654 ^ _247804) ^ [_305268] : [ssList(_305268), -(nil = _305268), 1662 ^ _247804 : [(1665 ^ _247804) ^ [] : [-(tl(_305268) = 1661 ^ [_305268])], (1663 ^ _247804) ^ [] : [-(ssList(1661 ^ [_305268]))]]], (4 ^ _247804) ^ [_248035, _248037] : [_248037 = _248035, -(_248035 = _248037)], (417 ^ _247804) ^ [_261295] : [ssList(_261295), 420 ^ _247804 : [(421 ^ _247804) ^ [_261457] : [ssList(_261457), 424 ^ _247804 : [(437 ^ _247804) ^ [] : [-(segmentP(_261295, _261457)), 438 ^ _247804 : [(439 ^ _247804) ^ [_262105] : [ssList(_262105), 442 ^ _247804 : [(443 ^ _247804) ^ [_262253] : [ssList(_262253), app(app(_262105, _261457), _262253) = _261295]]]]], (425 ^ _247804) ^ [] : [segmentP(_261295, _261457), 429 ^ _247804 : [(435 ^ _247804) ^ [] : [-(app(app(428 ^ [_261295, _261457], _261457), 431 ^ [_261295, _261457]) = _261295)], (433 ^ _247804) ^ [] : [-(ssList(431 ^ [_261295, _261457]))], (430 ^ _247804) ^ [] : [-(ssList(428 ^ [_261295, _261457]))]]]]]]], (1069 ^ _247804) ^ [_287225] : [ssItem(_287225), 1072 ^ _247804 : [(1073 ^ _247804) ^ [_287361] : [ssItem(_287361), 1076 ^ _247804 : [(1083 ^ _247804) ^ [] : [leq(_287361, _287225), -(geq(_287225, _287361))], (1077 ^ _247804) ^ [] : [geq(_287225, _287361), -(leq(_287361, _287225))]]]]], (212 ^ _247804) ^ [_254464, _254466] : [-(ssItem(_254464)), _254466 = _254464, ssItem(_254466)], (1175 ^ _247804) ^ [_290481] : [ssItem(_290481), 1178 ^ _247804 : [(1179 ^ _247804) ^ [_290636] : [ssItem(_290636), 1182 ^ _247804 : [(1183 ^ _247804) ^ [_290787] : [ssList(_290787), 1186 ^ _247804 : [(1187 ^ _247804) ^ [] : [memberP(cons(_290636, _290787), _290481), -(_290481 = _290636), -(memberP(_290787, _290481))], (1197 ^ _247804) ^ [] : [1198 ^ _247804 : [(1201 ^ _247804) ^ [] : [memberP(_290787, _290481)], (1199 ^ _247804) ^ [] : [_290481 = _290636]], -(memberP(cons(_290636, _290787), _290481))]]]]]]], (272 ^ _247804) ^ [_256476, _256478] : [_256478 = _256476, -(tl(_256478) = tl(_256476))], (1531 ^ _247804) ^ [] : [-(strictorderP(nil))], (1763 ^ _247804) ^ [_308851] : [ssList(_308851), 1766 ^ _247804 : [(1767 ^ _247804) ^ [_308996] : [ssList(_308996), 1770 ^ _247804 : [(1779 ^ _247804) ^ [] : [-(nil = app(_308851, _308996)), nil = _308996, nil = _308851], (1771 ^ _247804) ^ [] : [nil = app(_308851, _308996), 1774 ^ _247804 : [(1777 ^ _247804) ^ [] : [-(nil = _308851)], (1775 ^ _247804) ^ [] : [-(nil = _308996)]]]]]]], (1003 ^ _247804) ^ [_285084] : [ssList(_285084), 1006 ^ _247804 : [(1007 ^ _247804) ^ [_285236] : [ssList(_285236), 1010 ^ _247804 : [(1011 ^ _247804) ^ [_285384] : [ssItem(_285384), -(cons(_285384, app(_285236, _285084)) = app(cons(_285384, _285236), _285084))]]]]], (1509 ^ _247804) ^ [_300951] : [ssItem(_300951), -(cyclefreeP(cons(_300951, nil)))], (1539 ^ _247804) ^ [] : [-(totalorderedP(nil))], (1317 ^ _247804) ^ [_295056] : [ssList(_295056), 1320 ^ _247804 : [(1327 ^ _247804) ^ [] : [nil = _295056, -(frontsegP(nil, _295056))], (1321 ^ _247804) ^ [] : [frontsegP(nil, _295056), -(nil = _295056)]]], (1397 ^ _247804) ^ [_297500] : [ssList(_297500), -(rearsegP(_297500, nil))], (1585 ^ _247804) ^ [] : [-(strictorderedP(nil))], (100 ^ _247804) ^ [_251067, _251069] : [-(cyclefreeP(_251067)), _251069 = _251067, cyclefreeP(_251069)], (150 ^ _247804) ^ [_252542, _252544] : [-(duplicatefreeP(_252542)), _252544 = _252542, duplicatefreeP(_252544)], (881 ^ _247804) ^ [_280952] : [ssList(_280952), 884 ^ _247804 : [(885 ^ _247804) ^ [_281084] : [ssItem(_281084), -(ssList(cons(_281084, _280952)))]]], (1235 ^ _247804) ^ [_292375] : [ssList(_292375), 1238 ^ _247804 : [(1239 ^ _247804) ^ [_292517] : [ssList(_292517), -(_292375 = _292517), frontsegP(_292375, _292517), frontsegP(_292517, _292375)]]], (1915 ^ _247804) ^ [_313541] : [ssItem(_313541), 1918 ^ _247804 : [(1919 ^ _247804) ^ [_313685] : [ssItem(_313685), 1922 ^ _247804 : [(1931 ^ _247804) ^ [] : [-(lt(_313541, _313685)), -(_313541 = _313685), leq(_313541, _313685)], (1923 ^ _247804) ^ [] : [lt(_313541, _313685), 1926 ^ _247804 : [(1929 ^ _247804) ^ [] : [-(leq(_313541, _313685))], (1927 ^ _247804) ^ [] : [_313541 = _313685]]]]]]], (903 ^ _247804) ^ [_281685] : [ssList(_281685), 906 ^ _247804 : [(907 ^ _247804) ^ [_281853] : [ssList(_281853), 910 ^ _247804 : [(911 ^ _247804) ^ [_282017] : [ssItem(_282017), 914 ^ _247804 : [(915 ^ _247804) ^ [_282177] : [ssItem(_282177), cons(_282017, _281685) = cons(_282177, _281853), 922 ^ _247804 : [(925 ^ _247804) ^ [] : [-(_281853 = _281685)], (923 ^ _247804) ^ [] : [-(_282017 = _282177)]]]]]]]]], (304 ^ _247804) ^ [] : [297 ^ [] = 300 ^ []], (1631 ^ _247804) ^ [] : [-(duplicatefreeP(nil))], (1525 ^ _247804) ^ [_301441] : [ssItem(_301441), -(strictorderP(cons(_301441, nil)))], (160 ^ _247804) ^ [_252837, _252839] : [-(equalelemsP(_252837)), _252839 = _252837, equalelemsP(_252839)], (891 ^ _247804) ^ [] : [-(ssList(nil))], (983 ^ _247804) ^ [_284401] : [ssList(_284401), 986 ^ _247804 : [(987 ^ _247804) ^ [_284536] : [ssItem(_284536), -(tl(cons(_284536, _284401)) = _284401)]]], (86 ^ _247804) ^ [_250651, _250653, _250655, _250657] : [-(segmentP(_250655, _250651)), segmentP(_250657, _250653), _250657 = _250655, _250653 = _250651], (1277 ^ _247804) ^ [_293691] : [ssItem(_293691), 1280 ^ _247804 : [(1281 ^ _247804) ^ [_293859] : [ssItem(_293859), 1284 ^ _247804 : [(1285 ^ _247804) ^ [_294023] : [ssList(_294023), 1288 ^ _247804 : [(1289 ^ _247804) ^ [_294183] : [ssList(_294183), 1292 ^ _247804 : [(1301 ^ _247804) ^ [] : [-(frontsegP(cons(_293691, _294023), cons(_293859, _294183))), _293691 = _293859, frontsegP(_294023, _294183)], (1293 ^ _247804) ^ [] : [frontsegP(cons(_293691, _294023), cons(_293859, _294183)), 1296 ^ _247804 : [(1299 ^ _247804) ^ [] : [-(frontsegP(_294023, _294183))], (1297 ^ _247804) ^ [] : [-(_293691 = _293859)]]]]]]]]]]], (1703 ^ _247804) ^ [_306717] : [ssList(_306717), 1706 ^ _247804 : [(1707 ^ _247804) ^ [_306869] : [ssList(_306869), 1710 ^ _247804 : [(1711 ^ _247804) ^ [_307017] : [ssList(_307017), app(_307017, _306869) = app(_306717, _306869), -(_307017 = _306717)]]]]], (514 ^ _247804) ^ [_265330] : [ssList(_265330), 517 ^ _247804 : [(518 ^ _247804) ^ [] : [totalorderP(_265330), 521 ^ _247804 : [(522 ^ _247804) ^ [_265632] : [ssItem(_265632), 525 ^ _247804 : [(526 ^ _247804) ^ [_265822] : [ssItem(_265822), 529 ^ _247804 : [(530 ^ _247804) ^ [_266008] : [ssList(_266008), 533 ^ _247804 : [(534 ^ _247804) ^ [_266190] : [ssList(_266190), 537 ^ _247804 : [(538 ^ _247804) ^ [_266368] : [ssList(_266368), app(app(_266008, cons(_265632, _266190)), cons(_265822, _266368)) = _265330, -(leq(_265632, _265822)), -(leq(_265822, _265632))]]]]]]]]]]], (552 ^ _247804) ^ [] : [554 ^ _247804 : [(561 ^ _247804) ^ [] : [-(ssList(559 ^ [_265330]))], (569 ^ _247804) ^ [] : [-(app(app(559 ^ [_265330], cons(553 ^ [_265330], 562 ^ [_265330])), cons(556 ^ [_265330], 565 ^ [_265330])) = _265330)], (555 ^ _247804) ^ [] : [-(ssItem(553 ^ [_265330]))], (571 ^ _247804) ^ [] : [leq(553 ^ [_265330], 556 ^ [_265330])], (564 ^ _247804) ^ [] : [-(ssList(562 ^ [_265330]))], (567 ^ _247804) ^ [] : [-(ssList(565 ^ [_265330]))], (573 ^ _247804) ^ [] : [leq(556 ^ [_265330], 553 ^ [_265330])], (558 ^ _247804) ^ [] : [-(ssItem(556 ^ [_265330]))]], -(totalorderP(_265330))]]], (1419 ^ _247804) ^ [_298116] : [ssList(_298116), 1422 ^ _247804 : [(1423 ^ _247804) ^ [_298268] : [ssList(_298268), 1426 ^ _247804 : [(1427 ^ _247804) ^ [_298416] : [ssList(_298416), -(segmentP(_298116, _298416)), segmentP(_298116, _298268), segmentP(_298268, _298416)]]]]], (1641 ^ _247804) ^ [_304854] : [ssList(_304854), -(nil = _304854), 1649 ^ _247804 : [(1652 ^ _247804) ^ [] : [-(hd(_304854) = 1648 ^ [_304854])], (1650 ^ _247804) ^ [] : [-(ssItem(1648 ^ [_304854]))]]], (236 ^ _247804) ^ [_255183, _255185] : [-(ssList(_255183)), _255185 = _255183, ssList(_255185)], (130 ^ _247804) ^ [_251952, _251954] : [-(totalorderedP(_251952)), _251954 = _251952, totalorderedP(_251954)]], input).
% 45.09/43.76 ncf('1',plain,[-(nil = 1982 ^ []), nil = 1985 ^ []],start(1997 ^ 0)).
% 45.09/43.76 ncf('1.1',plain,[nil = 1982 ^ [], -(nil = 1976 ^ []), 1982 ^ [] = 1976 ^ []],extension(10 ^ 1,bind([[_248239, _248241, _248243], [1976 ^ [], 1982 ^ [], nil]]))).
% 45.09/43.76 ncf('1.1.1',plain,[nil = 1976 ^ []],extension(1995 ^ 2)).
% 45.09/43.76 ncf('1.1.2',plain,[-(1982 ^ [] = 1976 ^ []), 1976 ^ [] = 1982 ^ []],extension(4 ^ 2,bind([[_248035, _248037], [1982 ^ [], 1976 ^ []]]))).
% 45.09/43.76 ncf('1.1.2.1',plain,[-(1976 ^ [] = 1982 ^ [])],extension(1993 ^ 3)).
% 45.09/43.76 ncf('1.2',plain,[-(nil = 1985 ^ []), nil = 1979 ^ [], 1979 ^ [] = 1985 ^ []],extension(10 ^ 1,bind([[_248239, _248241, _248243], [1985 ^ [], 1979 ^ [], nil]]))).
% 45.09/43.76 ncf('1.2.1',plain,[-(nil = 1979 ^ [])],extension(1989 ^ 2)).
% 45.09/43.76 ncf('1.2.2',plain,[-(1979 ^ [] = 1985 ^ [])],extension(1991 ^ 2)).
% 45.09/43.76 %-----------------------------------------------------
% 45.09/43.76 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------