%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWC405+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n024.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 12:13:28 EDT 2023

% Result   : Theorem 44.19s 43.78s
% Output   : Proof 44.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SWC405+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.12  % Command  : nanocop.sh %s %d
% 0.11/0.32  % Computer : n024.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Fri May 19 01:11:06 EDT 2023
% 0.11/0.33  % CPUTime  : 
% 44.19/43.78  
% 44.19/43.78  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 44.19/43.78  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 44.19/43.78  %-----------------------------------------------------
% 44.19/43.78  ncf(matrix, plain, [(1987 ^ _318448) ^ [] : [-(ssList(1985 ^ []))], (1993 ^ _318448) ^ [_319212] : [ssItem(_319212), 1996 ^ _318448 : [(2003 ^ _318448) ^ [] : [-(memberP(1982 ^ [], _319212)), memberP(1985 ^ [], _319212)], (1997 ^ _318448) ^ [] : [-(memberP(1985 ^ [], _319212)), memberP(1982 ^ [], _319212)]]], (1981 ^ _318448) ^ [] : [-(ssList(1979 ^ []))], (1978 ^ _318448) ^ [] : [-(ssList(1976 ^ []))], (1991 ^ _318448) ^ [] : [-(1976 ^ [] = 1982 ^ [])], (2014 ^ _318448) ^ [] : [memberP(1979 ^ [], 2008 ^ [])], (1984 ^ _318448) ^ [] : [-(ssList(1982 ^ []))], (2012 ^ _318448) ^ [] : [-(memberP(1976 ^ [], 2008 ^ []))], (1989 ^ _318448) ^ [] : [-(1979 ^ [] = 1985 ^ [])], (2010 ^ _318448) ^ [] : [-(ssItem(2008 ^ []))], !, (861 ^ _250107) ^ [_282664] : [ssList(_282664), 864 ^ _250107 : [(865 ^ _250107) ^ [_282802] : [ssList(_282802), 868 ^ _250107 : [(875 ^ _250107) ^ [] : [-(_282664 = _282802), -(neq(_282664, _282802))], (869 ^ _250107) ^ [] : [neq(_282664, _282802), _282664 = _282802]]]]], (256 ^ _250107) ^ [_258222, _258224] : [_258224 = _258222, -(hd(_258224) = hd(_258222))], (72 ^ _250107) ^ [_252510, _252512, _252514, _252516] : [-(segmentP(_252514, _252510)), segmentP(_252516, _252512), _252516 = _252514, _252512 = _252510], (1355 ^ _250107) ^ [_298487] : [ssList(_298487), 1358 ^ _250107 : [(1359 ^ _250107) ^ [_298629] : [ssList(_298629), -(_298487 = _298629), rearsegP(_298487, _298629), rearsegP(_298629, _298487)]]], (1459 ^ _250107) ^ [_301640] : [ssList(_301640), -(segmentP(_301640, _301640))], (106 ^ _250107) ^ [_253516, _253518] : [-(strictorderP(_253516)), _253518 = _253516, strictorderP(_253518)], (58 ^ _250107) ^ [_252066, _252068, _252070, _252072] : [-(rearsegP(_252070, _252066)), rearsegP(_252072, _252068), _252072 = _252070, _252068 = _252066], (943 ^ _250107) ^ [_285459] : [ssList(_285459), 946 ^ _250107 : [(947 ^ _250107) ^ [_285594] : [ssItem(_285594), nil = cons(_285594, _285459)]]], (1869 ^ _250107) ^ [_314433] : [ssItem(_314433), lt(_314433, _314433)], (136 ^ _250107) ^ [_254401, _254403] : [-(duplicatefreeP(_254401)), _254403 = _254401, duplicatefreeP(_254403)], (232 ^ _250107) ^ [_257365, _257367, _257369, _257371] : [-(memberP(_257369, _257365)), memberP(_257371, _257367), _257371 = _257369, _257367 = _257365], (2 ^ _250107) ^ [_250231] : [-(_250231 = _250231)], (1633 ^ _250107) ^ [_306912] : [ssItem(_306912), -(equalelemsP(cons(_306912, nil)))], (262 ^ _250107) ^ [_258468, _258470, _258472, _258474] : [-(app(_258474, _258470) = app(_258472, _258468)), _258474 = _258472, _258470 = _258468], (1145 ^ _250107) ^ [_291831] : [ssItem(_291831), 1148 ^ _250107 : [(1149 ^ _250107) ^ [_291986] : [ssList(_291986), 1152 ^ _250107 : [(1153 ^ _250107) ^ [_292137] : [ssList(_292137), 1156 ^ _250107 : [(1157 ^ _250107) ^ [] : [memberP(app(_291986, _292137), _291831), -(memberP(_291986, _291831)), -(memberP(_292137, _291831))], (1167 ^ _250107) ^ [] : [1168 ^ _250107 : [(1171 ^ _250107) ^ [] : [memberP(_292137, _291831)], (1169 ^ _250107) ^ [] : [memberP(_291986, _291831)]], -(memberP(app(_291986, _292137), _291831))]]]]]]], (278 ^ _250107) ^ [_259001] : [ssItem(_259001), 281 ^ _250107 : [(282 ^ _250107) ^ [_259139] : [ssItem(_259139), 285 ^ _250107 : [(292 ^ _250107) ^ [] : [-(_259001 = _259139), -(neq(_259001, _259139))], (286 ^ _250107) ^ [] : [neq(_259001, _259139), _259001 = _259139]]]]], (1213 ^ _250107) ^ [_293978] : [ssList(_293978), 1216 ^ _250107 : [(1217 ^ _250107) ^ [_294130] : [ssList(_294130), 1220 ^ _250107 : [(1221 ^ _250107) ^ [_294278] : [ssList(_294278), -(frontsegP(_293978, _294278)), frontsegP(_293978, _294130), frontsegP(_294130, _294278)]]]]], (390 ^ _250107) ^ [_262702] : [ssList(_262702), 393 ^ _250107 : [(394 ^ _250107) ^ [_262851] : [ssList(_262851), 397 ^ _250107 : [(407 ^ _250107) ^ [] : [-(rearsegP(_262702, _262851)), 408 ^ _250107 : [(409 ^ _250107) ^ [_263326] : [ssList(_263326), app(_263326, _262851) = _262702]]], (398 ^ _250107) ^ [] : [rearsegP(_262702, _262851), 402 ^ _250107 : [(405 ^ _250107) ^ [] : [-(app(401 ^ [_262702, _262851], _262851) = _262702)], (403 ^ _250107) ^ [] : [-(ssList(401 ^ [_262702, _262851]))]]]]]]], (1017 ^ _250107) ^ [_287925] : [ssList(_287925), -(app(nil, _287925) = _287925)], (1063 ^ _250107) ^ [_289340] : [ssItem(_289340), -(leq(_289340, _289340))], (1749 ^ _250107) ^ [_310616] : [ssList(_310616), 1752 ^ _250107 : [(1753 ^ _250107) ^ [_310768] : [ssList(_310768), 1756 ^ _250107 : [(1757 ^ _250107) ^ [_310916] : [ssList(_310916), -(app(app(_310616, _310768), _310916) = app(_310616, app(_310768, _310916)))]]]]], (1465 ^ _250107) ^ [_301828] : [ssList(_301828), 1468 ^ _250107 : [(1469 ^ _250107) ^ [_301990] : [ssList(_301990), 1472 ^ _250107 : [(1473 ^ _250107) ^ [_302148] : [ssList(_302148), 1476 ^ _250107 : [(1477 ^ _250107) ^ [_302302] : [ssList(_302302), segmentP(_301828, _301990), -(segmentP(app(app(_302148, _301828), _302302), _301990))]]]]]]], (1809 ^ _250107) ^ [_312563] : [ssList(_312563), 1812 ^ _250107 : [(1813 ^ _250107) ^ [_312711] : [ssList(_312711), -(nil = _312563), -(tl(app(_312563, _312711)) = app(tl(_312563), _312711))]]], (1211 ^ _250107) ^ [] : [singletonP(nil)], (1379 ^ _250107) ^ [_299196] : [ssList(_299196), 1382 ^ _250107 : [(1383 ^ _250107) ^ [_299345] : [ssList(_299345), 1386 ^ _250107 : [(1387 ^ _250107) ^ [_299490] : [ssList(_299490), rearsegP(_299196, _299345), -(rearsegP(app(_299490, _299196), _299345))]]]]], (993 ^ _250107) ^ [_287050] : [ssList(_287050), 996 ^ _250107 : [(997 ^ _250107) ^ [_287182] : [ssList(_287182), -(ssList(app(_287050, _287182)))]]], (1517 ^ _250107) ^ [_303499] : [ssItem(_303499), -(totalorderP(cons(_303499, nil)))], (1253 ^ _250107) ^ [_295199] : [ssList(_295199), -(frontsegP(_295199, _295199))], (1487 ^ _250107) ^ [_302638] : [ssList(_302638), -(segmentP(_302638, nil))], (34 ^ _250107) ^ [_251299, _251301] : [-(singletonP(_251299)), _251301 = _251299, singletonP(_251301)], (1311 ^ _250107) ^ [_297171] : [ssList(_297171), -(frontsegP(_297171, nil))], (1023 ^ _250107) ^ [_288119] : [ssItem(_288119), 1026 ^ _250107 : [(1027 ^ _250107) ^ [_288261] : [ssItem(_288261), -(_288119 = _288261), leq(_288119, _288261), leq(_288261, _288119)]]], (1403 ^ _250107) ^ [_299991] : [ssList(_299991), 1406 ^ _250107 : [(1413 ^ _250107) ^ [] : [nil = _299991, -(rearsegP(nil, _299991))], (1407 ^ _250107) ^ [] : [rearsegP(nil, _299991), -(nil = _299991)]]], (1579 ^ _250107) ^ [_305328] : [ssItem(_305328), -(strictorderedP(cons(_305328, nil)))], (184 ^ _250107) ^ [_255907, _255909, _255911, _255913] : [-(leq(_255911, _255907)), leq(_255913, _255909), _255913 = _255911, _255909 = _255907], (754 ^ _250107) ^ [_278137] : [ssList(_278137), 757 ^ _250107 : [(758 ^ _250107) ^ [] : [duplicatefreeP(_278137), 761 ^ _250107 : [(762 ^ _250107) ^ [_278435] : [ssItem(_278435), 765 ^ _250107 : [(766 ^ _250107) ^ [_278621] : [ssItem(_278621), 769 ^ _250107 : [(770 ^ _250107) ^ [_278803] : [ssList(_278803), 773 ^ _250107 : [(774 ^ _250107) ^ [_278981] : [ssList(_278981), 777 ^ _250107 : [(778 ^ _250107) ^ [_279155] : [ssList(_279155), app(app(_278803, cons(_278435, _278981)), cons(_278621, _279155)) = _278137, _278435 = _278621]]]]]]]]]]], (788 ^ _250107) ^ [] : [790 ^ _250107 : [(797 ^ _250107) ^ [] : [-(ssList(795 ^ [_278137]))], (805 ^ _250107) ^ [] : [-(app(app(795 ^ [_278137], cons(789 ^ [_278137], 798 ^ [_278137])), cons(792 ^ [_278137], 801 ^ [_278137])) = _278137)], (807 ^ _250107) ^ [] : [-(789 ^ [_278137] = 792 ^ [_278137])], (800 ^ _250107) ^ [] : [-(ssList(798 ^ [_278137]))], (791 ^ _250107) ^ [] : [-(ssItem(789 ^ [_278137]))], (794 ^ _250107) ^ [] : [-(ssItem(792 ^ [_278137]))], (803 ^ _250107) ^ [] : [-(ssList(801 ^ [_278137]))]], -(duplicatefreeP(_278137))]]], (963 ^ _250107) ^ [_286080] : [ssList(_286080), 966 ^ _250107 : [(967 ^ _250107) ^ [_286215] : [ssItem(_286215), -(hd(cons(_286215, _286080)) = _286215)]]], (1089 ^ _250107) ^ [_290115] : [ssItem(_290115), 1092 ^ _250107 : [(1093 ^ _250107) ^ [_290253] : [ssItem(_290253), lt(_290115, _290253), lt(_290253, _290115)]]], (1739 ^ _250107) ^ [_310258] : [ssList(_310258), 1742 ^ _250107 : [(1743 ^ _250107) ^ [_310397] : [ssItem(_310397), -(cons(_310397, _310258) = app(cons(_310397, nil), _310258))]]], (1441 ^ _250107) ^ [_301119] : [ssList(_301119), 1444 ^ _250107 : [(1445 ^ _250107) ^ [_301261] : [ssList(_301261), -(_301119 = _301261), segmentP(_301119, _301261), segmentP(_301261, _301119)]]], (1259 ^ _250107) ^ [_295387] : [ssList(_295387), 1262 ^ _250107 : [(1263 ^ _250107) ^ [_295536] : [ssList(_295536), 1266 ^ _250107 : [(1267 ^ _250107) ^ [_295681] : [ssList(_295681), frontsegP(_295387, _295536), -(frontsegP(app(_295387, _295681), _295536))]]]]], (1875 ^ _250107) ^ [_314622] : [ssItem(_314622), 1878 ^ _250107 : [(1879 ^ _250107) ^ [_314774] : [ssItem(_314774), 1882 ^ _250107 : [(1883 ^ _250107) ^ [_314922] : [ssItem(_314922), -(lt(_314622, _314922)), leq(_314622, _314774), lt(_314774, _314922)]]]]], (1541 ^ _250107) ^ [_304234] : [ssItem(_304234), 1544 ^ _250107 : [(1545 ^ _250107) ^ [_304393] : [ssList(_304393), 1548 ^ _250107 : [(1563 ^ _250107) ^ [] : [-(totalorderedP(cons(_304234, _304393))), 1564 ^ _250107 : [(1567 ^ _250107) ^ [] : [-(nil = _304393), totalorderedP(_304393), leq(_304234, hd(_304393))], (1565 ^ _250107) ^ [] : [nil = _304393]]], (1549 ^ _250107) ^ [] : [totalorderedP(cons(_304234, _304393)), -(nil = _304393), 1556 ^ _250107 : [(1561 ^ _250107) ^ [] : [-(leq(_304234, hd(_304393)))], (1559 ^ _250107) ^ [] : [-(totalorderedP(_304393))], (1557 ^ _250107) ^ [] : [nil = _304393]]]]]]], (1721 ^ _250107) ^ [_309639] : [ssList(_309639), 1724 ^ _250107 : [(1725 ^ _250107) ^ [_309791] : [ssList(_309791), 1728 ^ _250107 : [(1729 ^ _250107) ^ [_309939] : [ssList(_309939), app(_309791, _309939) = app(_309791, _309639), -(_309939 = _309639)]]]]], (340 ^ _250107) ^ [_261101] : [ssList(_261101), 343 ^ _250107 : [(353 ^ _250107) ^ [] : [-(singletonP(_261101)), 354 ^ _250107 : [(355 ^ _250107) ^ [_261550] : [ssItem(_261550), cons(_261550, nil) = _261101]]], (344 ^ _250107) ^ [] : [singletonP(_261101), 348 ^ _250107 : [(351 ^ _250107) ^ [] : [-(cons(347 ^ [_261101], nil) = _261101)], (349 ^ _250107) ^ [] : [-(ssItem(347 ^ [_261101]))]]]]], (1041 ^ _250107) ^ [_288640] : [ssItem(_288640), 1044 ^ _250107 : [(1045 ^ _250107) ^ [_288792] : [ssItem(_288792), 1048 ^ _250107 : [(1049 ^ _250107) ^ [_288940] : [ssItem(_288940), -(leq(_288640, _288940)), leq(_288640, _288792), leq(_288792, _288940)]]]]], (246 ^ _250107) ^ [_257891, _257893, _257895, _257897] : [-(cons(_257897, _257893) = cons(_257895, _257891)), _257897 = _257895, _257893 = _257891], (1533 ^ _250107) ^ [_303989] : [ssItem(_303989), -(totalorderedP(cons(_303989, nil)))], (927 ^ _250107) ^ [_284895] : [ssList(_284895), -(nil = _284895), 935 ^ _250107 : [(941 ^ _250107) ^ [] : [-(cons(937 ^ [_284895], 934 ^ [_284895]) = _284895)], (939 ^ _250107) ^ [] : [-(ssItem(937 ^ [_284895]))], (936 ^ _250107) ^ [] : [-(ssList(934 ^ [_284895]))]]], (1493 ^ _250107) ^ [_302826] : [ssList(_302826), 1496 ^ _250107 : [(1503 ^ _250107) ^ [] : [nil = _302826, -(segmentP(nil, _302826))], (1497 ^ _250107) ^ [] : [segmentP(nil, _302826), -(nil = _302826)]]], (363 ^ _250107) ^ [_261806] : [ssList(_261806), 366 ^ _250107 : [(367 ^ _250107) ^ [_261955] : [ssList(_261955), 370 ^ _250107 : [(380 ^ _250107) ^ [] : [-(frontsegP(_261806, _261955)), 381 ^ _250107 : [(382 ^ _250107) ^ [_262430] : [ssList(_262430), app(_261955, _262430) = _261806]]], (371 ^ _250107) ^ [] : [frontsegP(_261806, _261955), 375 ^ _250107 : [(378 ^ _250107) ^ [] : [-(app(_261955, 374 ^ [_261806, _261955]) = _261806)], (376 ^ _250107) ^ [] : [-(ssList(374 ^ [_261806, _261955]))]]]]]]], (306 ^ _250107) ^ [_259852] : [ssList(_259852), 309 ^ _250107 : [(310 ^ _250107) ^ [_260014] : [ssItem(_260014), 313 ^ _250107 : [(326 ^ _250107) ^ [] : [-(memberP(_259852, _260014)), 327 ^ _250107 : [(328 ^ _250107) ^ [_260662] : [ssList(_260662), 331 ^ _250107 : [(332 ^ _250107) ^ [_260810] : [ssList(_260810), app(_260662, cons(_260014, _260810)) = _259852]]]]], (314 ^ _250107) ^ [] : [memberP(_259852, _260014), 318 ^ _250107 : [(324 ^ _250107) ^ [] : [-(app(317 ^ [_259852, _260014], cons(_260014, 320 ^ [_259852, _260014])) = _259852)], (322 ^ _250107) ^ [] : [-(ssList(320 ^ [_259852, _260014]))], (319 ^ _250107) ^ [] : [-(ssList(317 ^ [_259852, _260014]))]]]]]]], (1693 ^ _250107) ^ [_308730] : [ssList(_308730), -(nil = _308730), -(cons(hd(_308730), tl(_308730)) = _308730)], (811 ^ _250107) ^ [_280647] : [ssList(_280647), 814 ^ _250107 : [(815 ^ _250107) ^ [] : [equalelemsP(_280647), 818 ^ _250107 : [(819 ^ _250107) ^ [_280930] : [ssItem(_280930), 822 ^ _250107 : [(823 ^ _250107) ^ [_281101] : [ssItem(_281101), 826 ^ _250107 : [(827 ^ _250107) ^ [_281268] : [ssList(_281268), 830 ^ _250107 : [(831 ^ _250107) ^ [_281431] : [ssList(_281431), app(_281268, cons(_280930, cons(_281101, _281431))) = _280647, -(_280930 = _281101)]]]]]]]]], (841 ^ _250107) ^ [] : [843 ^ _250107 : [(847 ^ _250107) ^ [] : [-(ssItem(845 ^ [_280647]))], (844 ^ _250107) ^ [] : [-(ssItem(842 ^ [_280647]))], (857 ^ _250107) ^ [] : [842 ^ [_280647] = 845 ^ [_280647]], (853 ^ _250107) ^ [] : [-(ssList(851 ^ [_280647]))], (855 ^ _250107) ^ [] : [-(app(848 ^ [_280647], cons(842 ^ [_280647], cons(845 ^ [_280647], 851 ^ [_280647]))) = _280647)], (850 ^ _250107) ^ [] : [-(ssList(848 ^ [_280647]))]], -(equalelemsP(_280647))]]], (1125 ^ _250107) ^ [_291244] : [ssItem(_291244), 1128 ^ _250107 : [(1129 ^ _250107) ^ [_291380] : [ssItem(_291380), 1132 ^ _250107 : [(1139 ^ _250107) ^ [] : [lt(_291380, _291244), -(gt(_291244, _291380))], (1133 ^ _250107) ^ [] : [gt(_291244, _291380), -(lt(_291380, _291244))]]]]], (973 ^ _250107) ^ [_286426] : [ssList(_286426), -(nil = _286426), -(ssList(tl(_286426)))], (1823 ^ _250107) ^ [_313024] : [ssItem(_313024), 1826 ^ _250107 : [(1827 ^ _250107) ^ [_313166] : [ssItem(_313166), -(_313024 = _313166), geq(_313024, _313166), geq(_313166, _313024)]]], (953 ^ _250107) ^ [_285802] : [ssList(_285802), -(nil = _285802), -(ssItem(hd(_285802)))], (1667 ^ _250107) ^ [_307985] : [ssList(_307985), 1670 ^ _250107 : [(1671 ^ _250107) ^ [_308151] : [ssList(_308151), -(_308151 = _307985), -(nil = _308151), -(nil = _307985), hd(_308151) = hd(_307985), tl(_308151) = tl(_307985)]]], (1841 ^ _250107) ^ [_313545] : [ssItem(_313545), 1844 ^ _250107 : [(1845 ^ _250107) ^ [_313697] : [ssItem(_313697), 1848 ^ _250107 : [(1849 ^ _250107) ^ [_313845] : [ssItem(_313845), -(geq(_313545, _313845)), geq(_313545, _313697), geq(_313697, _313845)]]]]], (1897 ^ _250107) ^ [_315322] : [ssItem(_315322), 1900 ^ _250107 : [(1901 ^ _250107) ^ [_315464] : [ssItem(_315464), leq(_315322, _315464), -(_315322 = _315464), -(lt(_315322, _315464))]]], (1639 ^ _250107) ^ [] : [-(equalelemsP(nil))], (1863 ^ _250107) ^ [_314245] : [ssItem(_314245), -(geq(_314245, _314245))], (1625 ^ _250107) ^ [_306667] : [ssItem(_306667), -(duplicatefreeP(cons(_306667, nil)))], (577 ^ _250107) ^ [_270397] : [ssList(_270397), 580 ^ _250107 : [(581 ^ _250107) ^ [] : [strictorderP(_270397), 584 ^ _250107 : [(585 ^ _250107) ^ [_270699] : [ssItem(_270699), 588 ^ _250107 : [(589 ^ _250107) ^ [_270889] : [ssItem(_270889), 592 ^ _250107 : [(593 ^ _250107) ^ [_271075] : [ssList(_271075), 596 ^ _250107 : [(597 ^ _250107) ^ [_271257] : [ssList(_271257), 600 ^ _250107 : [(601 ^ _250107) ^ [_271435] : [ssList(_271435), app(app(_271075, cons(_270699, _271257)), cons(_270889, _271435)) = _270397, -(lt(_270699, _270889)), -(lt(_270889, _270699))]]]]]]]]]]], (615 ^ _250107) ^ [] : [617 ^ _250107 : [(624 ^ _250107) ^ [] : [-(ssList(622 ^ [_270397]))], (632 ^ _250107) ^ [] : [-(app(app(622 ^ [_270397], cons(616 ^ [_270397], 625 ^ [_270397])), cons(619 ^ [_270397], 628 ^ [_270397])) = _270397)], (618 ^ _250107) ^ [] : [-(ssItem(616 ^ [_270397]))], (634 ^ _250107) ^ [] : [lt(616 ^ [_270397], 619 ^ [_270397])], (627 ^ _250107) ^ [] : [-(ssList(625 ^ [_270397]))], (630 ^ _250107) ^ [] : [-(ssList(628 ^ [_270397]))], (636 ^ _250107) ^ [] : [lt(619 ^ [_270397], 616 ^ [_270397])], (621 ^ _250107) ^ [] : [-(ssItem(619 ^ [_270397]))]], -(strictorderP(_270397))]]], (44 ^ _250107) ^ [_251622, _251624, _251626, _251628] : [-(frontsegP(_251626, _251622)), frontsegP(_251628, _251624), _251628 = _251626, _251624 = _251622], (1795 ^ _250107) ^ [_312111] : [ssList(_312111), 1798 ^ _250107 : [(1799 ^ _250107) ^ [_312256] : [ssList(_312256), -(nil = _312111), -(hd(app(_312111, _312256)) = hd(_312111))]]], (20 ^ _250107) ^ [_250883, _250885, _250887, _250889] : [-(neq(_250887, _250883)), neq(_250889, _250885), _250889 = _250887, _250885 = _250883], (1523 ^ _250107) ^ [] : [-(totalorderP(nil))], (1789 ^ _250107) ^ [_311917] : [ssList(_311917), -(app(_311917, nil) = _311917)], (697 ^ _250107) ^ [_275649] : [ssList(_275649), 700 ^ _250107 : [(701 ^ _250107) ^ [] : [strictorderedP(_275649), 704 ^ _250107 : [(705 ^ _250107) ^ [_275945] : [ssItem(_275945), 708 ^ _250107 : [(709 ^ _250107) ^ [_276129] : [ssItem(_276129), 712 ^ _250107 : [(713 ^ _250107) ^ [_276309] : [ssList(_276309), 716 ^ _250107 : [(717 ^ _250107) ^ [_276485] : [ssList(_276485), 720 ^ _250107 : [(721 ^ _250107) ^ [_276657] : [ssList(_276657), app(app(_276309, cons(_275945, _276485)), cons(_276129, _276657)) = _275649, -(lt(_275945, _276129))]]]]]]]]]]], (731 ^ _250107) ^ [] : [733 ^ _250107 : [(740 ^ _250107) ^ [] : [-(ssList(738 ^ [_275649]))], (748 ^ _250107) ^ [] : [-(app(app(738 ^ [_275649], cons(732 ^ [_275649], 741 ^ [_275649])), cons(735 ^ [_275649], 744 ^ [_275649])) = _275649)], (750 ^ _250107) ^ [] : [lt(732 ^ [_275649], 735 ^ [_275649])], (743 ^ _250107) ^ [] : [-(ssList(741 ^ [_275649]))], (734 ^ _250107) ^ [] : [-(ssItem(732 ^ [_275649]))], (737 ^ _250107) ^ [] : [-(ssItem(735 ^ [_275649]))], (746 ^ _250107) ^ [] : [-(ssList(744 ^ [_275649]))]], -(strictorderedP(_275649))]]], (198 ^ _250107) ^ [_256351, _256353, _256355, _256357] : [-(gt(_256355, _256351)), gt(_256357, _256353), _256357 = _256355, _256353 = _256351], (1373 ^ _250107) ^ [_299008] : [ssList(_299008), -(rearsegP(_299008, _299008))], (116 ^ _250107) ^ [_253811, _253813] : [-(totalorderedP(_253811)), _253813 = _253811, totalorderedP(_253813)], (10 ^ _250107) ^ [_250542, _250544, _250546] : [-(_250546 = _250542), _250546 = _250544, _250544 = _250542], (1941 ^ _250107) ^ [_316599] : [ssItem(_316599), 1944 ^ _250107 : [(1945 ^ _250107) ^ [_316737] : [ssItem(_316737), gt(_316599, _316737), gt(_316737, _316599)]]], (1587 ^ _250107) ^ [_305573] : [ssItem(_305573), 1590 ^ _250107 : [(1591 ^ _250107) ^ [_305732] : [ssList(_305732), 1594 ^ _250107 : [(1609 ^ _250107) ^ [] : [-(strictorderedP(cons(_305573, _305732))), 1610 ^ _250107 : [(1613 ^ _250107) ^ [] : [-(nil = _305732), strictorderedP(_305732), lt(_305573, hd(_305732))], (1611 ^ _250107) ^ [] : [nil = _305732]]], (1595 ^ _250107) ^ [] : [strictorderedP(cons(_305573, _305732)), -(nil = _305732), 1602 ^ _250107 : [(1607 ^ _250107) ^ [] : [-(lt(_305573, hd(_305732)))], (1605 ^ _250107) ^ [] : [-(strictorderedP(_305732))], (1603 ^ _250107) ^ [] : [nil = _305732]]]]]]], (299 ^ _250107) ^ [] : [-(ssItem(297 ^ []))], (451 ^ _250107) ^ [_264847] : [ssList(_264847), 454 ^ _250107 : [(455 ^ _250107) ^ [] : [cyclefreeP(_264847), 458 ^ _250107 : [(459 ^ _250107) ^ [_265151] : [ssItem(_265151), 462 ^ _250107 : [(463 ^ _250107) ^ [_265343] : [ssItem(_265343), 466 ^ _250107 : [(467 ^ _250107) ^ [_265531] : [ssList(_265531), 470 ^ _250107 : [(471 ^ _250107) ^ [_265715] : [ssList(_265715), 474 ^ _250107 : [(475 ^ _250107) ^ [_265895] : [ssList(_265895), app(app(_265531, cons(_265151, _265715)), cons(_265343, _265895)) = _264847, leq(_265151, _265343), leq(_265343, _265151)]]]]]]]]]]], (489 ^ _250107) ^ [] : [491 ^ _250107 : [(498 ^ _250107) ^ [] : [-(ssList(496 ^ [_264847]))], (506 ^ _250107) ^ [] : [-(app(app(496 ^ [_264847], cons(490 ^ [_264847], 499 ^ [_264847])), cons(493 ^ [_264847], 502 ^ [_264847])) = _264847)], (492 ^ _250107) ^ [] : [-(ssItem(490 ^ [_264847]))], (508 ^ _250107) ^ [] : [-(leq(490 ^ [_264847], 493 ^ [_264847]))], (501 ^ _250107) ^ [] : [-(ssList(499 ^ [_264847]))], (504 ^ _250107) ^ [] : [-(ssList(502 ^ [_264847]))], (510 ^ _250107) ^ [] : [-(leq(493 ^ [_264847], 490 ^ [_264847]))], (495 ^ _250107) ^ [] : [-(ssItem(493 ^ [_264847]))]], -(cyclefreeP(_264847))]]], (1515 ^ _250107) ^ [] : [-(cyclefreeP(nil))], (1333 ^ _250107) ^ [_297787] : [ssList(_297787), 1336 ^ _250107 : [(1337 ^ _250107) ^ [_297939] : [ssList(_297939), 1340 ^ _250107 : [(1341 ^ _250107) ^ [_298087] : [ssList(_298087), -(rearsegP(_297787, _298087)), rearsegP(_297787, _297939), rearsegP(_297939, _298087)]]]]], (302 ^ _250107) ^ [] : [-(ssItem(300 ^ []))], (170 ^ _250107) ^ [_255463, _255465, _255467, _255469] : [-(lt(_255467, _255463)), lt(_255469, _255465), _255469 = _255467, _255465 = _255463], (1103 ^ _250107) ^ [_290544] : [ssItem(_290544), 1106 ^ _250107 : [(1107 ^ _250107) ^ [_290696] : [ssItem(_290696), 1110 ^ _250107 : [(1111 ^ _250107) ^ [_290844] : [ssItem(_290844), -(lt(_290544, _290844)), lt(_290544, _290696), lt(_290696, _290844)]]]]], (1955 ^ _250107) ^ [_317008] : [ssItem(_317008), 1958 ^ _250107 : [(1959 ^ _250107) ^ [_317160] : [ssItem(_317160), 1962 ^ _250107 : [(1963 ^ _250107) ^ [_317308] : [ssItem(_317308), -(gt(_317008, _317308)), gt(_317008, _317160), gt(_317160, _317308)]]]]], (893 ^ _250107) ^ [_283645] : [ssList(_283645), 896 ^ _250107 : [(897 ^ _250107) ^ [_283780] : [ssItem(_283780), cons(_283780, _283645) = _283645]]], (1205 ^ _250107) ^ [_293737] : [ssItem(_293737), memberP(nil, _293737)], (640 ^ _250107) ^ [_273161] : [ssList(_273161), 643 ^ _250107 : [(644 ^ _250107) ^ [] : [totalorderedP(_273161), 647 ^ _250107 : [(648 ^ _250107) ^ [_273457] : [ssItem(_273457), 651 ^ _250107 : [(652 ^ _250107) ^ [_273641] : [ssItem(_273641), 655 ^ _250107 : [(656 ^ _250107) ^ [_273821] : [ssList(_273821), 659 ^ _250107 : [(660 ^ _250107) ^ [_273997] : [ssList(_273997), 663 ^ _250107 : [(664 ^ _250107) ^ [_274169] : [ssList(_274169), app(app(_273821, cons(_273457, _273997)), cons(_273641, _274169)) = _273161, -(leq(_273457, _273641))]]]]]]]]]]], (674 ^ _250107) ^ [] : [676 ^ _250107 : [(683 ^ _250107) ^ [] : [-(ssList(681 ^ [_273161]))], (691 ^ _250107) ^ [] : [-(app(app(681 ^ [_273161], cons(675 ^ [_273161], 684 ^ [_273161])), cons(678 ^ [_273161], 687 ^ [_273161])) = _273161)], (693 ^ _250107) ^ [] : [leq(675 ^ [_273161], 678 ^ [_273161])], (686 ^ _250107) ^ [] : [-(ssList(684 ^ [_273161]))], (677 ^ _250107) ^ [] : [-(ssItem(675 ^ [_273161]))], (680 ^ _250107) ^ [] : [-(ssItem(678 ^ [_273161]))], (689 ^ _250107) ^ [] : [-(ssList(687 ^ [_273161]))]], -(totalorderedP(_273161))]]], (1654 ^ _250107) ^ [_307571] : [ssList(_307571), -(nil = _307571), 1662 ^ _250107 : [(1665 ^ _250107) ^ [] : [-(tl(_307571) = 1661 ^ [_307571])], (1663 ^ _250107) ^ [] : [-(ssList(1661 ^ [_307571]))]]], (4 ^ _250107) ^ [_250338, _250340] : [_250340 = _250338, -(_250338 = _250340)], (417 ^ _250107) ^ [_263598] : [ssList(_263598), 420 ^ _250107 : [(421 ^ _250107) ^ [_263760] : [ssList(_263760), 424 ^ _250107 : [(437 ^ _250107) ^ [] : [-(segmentP(_263598, _263760)), 438 ^ _250107 : [(439 ^ _250107) ^ [_264408] : [ssList(_264408), 442 ^ _250107 : [(443 ^ _250107) ^ [_264556] : [ssList(_264556), app(app(_264408, _263760), _264556) = _263598]]]]], (425 ^ _250107) ^ [] : [segmentP(_263598, _263760), 429 ^ _250107 : [(435 ^ _250107) ^ [] : [-(app(app(428 ^ [_263598, _263760], _263760), 431 ^ [_263598, _263760]) = _263598)], (433 ^ _250107) ^ [] : [-(ssList(431 ^ [_263598, _263760]))], (430 ^ _250107) ^ [] : [-(ssList(428 ^ [_263598, _263760]))]]]]]]], (1069 ^ _250107) ^ [_289528] : [ssItem(_289528), 1072 ^ _250107 : [(1073 ^ _250107) ^ [_289664] : [ssItem(_289664), 1076 ^ _250107 : [(1083 ^ _250107) ^ [] : [leq(_289664, _289528), -(geq(_289528, _289664))], (1077 ^ _250107) ^ [] : [geq(_289528, _289664), -(leq(_289664, _289528))]]]]], (212 ^ _250107) ^ [_256767, _256769] : [-(ssList(_256767)), _256769 = _256767, ssList(_256769)], (1175 ^ _250107) ^ [_292784] : [ssItem(_292784), 1178 ^ _250107 : [(1179 ^ _250107) ^ [_292939] : [ssItem(_292939), 1182 ^ _250107 : [(1183 ^ _250107) ^ [_293090] : [ssList(_293090), 1186 ^ _250107 : [(1187 ^ _250107) ^ [] : [memberP(cons(_292939, _293090), _292784), -(_292784 = _292939), -(memberP(_293090, _292784))], (1197 ^ _250107) ^ [] : [1198 ^ _250107 : [(1201 ^ _250107) ^ [] : [memberP(_293090, _292784)], (1199 ^ _250107) ^ [] : [_292784 = _292939]], -(memberP(cons(_292939, _293090), _292784))]]]]]]], (272 ^ _250107) ^ [_258779, _258781] : [_258781 = _258779, -(tl(_258781) = tl(_258779))], (1531 ^ _250107) ^ [] : [-(strictorderP(nil))], (1763 ^ _250107) ^ [_311154] : [ssList(_311154), 1766 ^ _250107 : [(1767 ^ _250107) ^ [_311299] : [ssList(_311299), 1770 ^ _250107 : [(1779 ^ _250107) ^ [] : [-(nil = app(_311154, _311299)), nil = _311299, nil = _311154], (1771 ^ _250107) ^ [] : [nil = app(_311154, _311299), 1774 ^ _250107 : [(1777 ^ _250107) ^ [] : [-(nil = _311154)], (1775 ^ _250107) ^ [] : [-(nil = _311299)]]]]]]], (1003 ^ _250107) ^ [_287387] : [ssList(_287387), 1006 ^ _250107 : [(1007 ^ _250107) ^ [_287539] : [ssList(_287539), 1010 ^ _250107 : [(1011 ^ _250107) ^ [_287687] : [ssItem(_287687), -(cons(_287687, app(_287539, _287387)) = app(cons(_287687, _287539), _287387))]]]]], (1509 ^ _250107) ^ [_303254] : [ssItem(_303254), -(cyclefreeP(cons(_303254, nil)))], (1539 ^ _250107) ^ [] : [-(totalorderedP(nil))], (1317 ^ _250107) ^ [_297359] : [ssList(_297359), 1320 ^ _250107 : [(1327 ^ _250107) ^ [] : [nil = _297359, -(frontsegP(nil, _297359))], (1321 ^ _250107) ^ [] : [frontsegP(nil, _297359), -(nil = _297359)]]], (1397 ^ _250107) ^ [_299803] : [ssList(_299803), -(rearsegP(_299803, nil))], (1585 ^ _250107) ^ [] : [-(strictorderedP(nil))], (96 ^ _250107) ^ [_253221, _253223] : [-(totalorderP(_253221)), _253223 = _253221, totalorderP(_253223)], (146 ^ _250107) ^ [_254696, _254698] : [-(equalelemsP(_254696)), _254698 = _254696, equalelemsP(_254698)], (881 ^ _250107) ^ [_283255] : [ssList(_283255), 884 ^ _250107 : [(885 ^ _250107) ^ [_283387] : [ssItem(_283387), -(ssList(cons(_283387, _283255)))]]], (1235 ^ _250107) ^ [_294678] : [ssList(_294678), 1238 ^ _250107 : [(1239 ^ _250107) ^ [_294820] : [ssList(_294820), -(_294678 = _294820), frontsegP(_294678, _294820), frontsegP(_294820, _294678)]]], (1915 ^ _250107) ^ [_315844] : [ssItem(_315844), 1918 ^ _250107 : [(1919 ^ _250107) ^ [_315988] : [ssItem(_315988), 1922 ^ _250107 : [(1931 ^ _250107) ^ [] : [-(lt(_315844, _315988)), -(_315844 = _315988), leq(_315844, _315988)], (1923 ^ _250107) ^ [] : [lt(_315844, _315988), 1926 ^ _250107 : [(1929 ^ _250107) ^ [] : [-(leq(_315844, _315988))], (1927 ^ _250107) ^ [] : [_315844 = _315988]]]]]]], (903 ^ _250107) ^ [_283988] : [ssList(_283988), 906 ^ _250107 : [(907 ^ _250107) ^ [_284156] : [ssList(_284156), 910 ^ _250107 : [(911 ^ _250107) ^ [_284320] : [ssItem(_284320), 914 ^ _250107 : [(915 ^ _250107) ^ [_284480] : [ssItem(_284480), cons(_284320, _283988) = cons(_284480, _284156), 922 ^ _250107 : [(925 ^ _250107) ^ [] : [-(_284156 = _283988)], (923 ^ _250107) ^ [] : [-(_284320 = _284480)]]]]]]]]], (304 ^ _250107) ^ [] : [297 ^ [] = 300 ^ []], (1631 ^ _250107) ^ [] : [-(duplicatefreeP(nil))], (1525 ^ _250107) ^ [_303744] : [ssItem(_303744), -(strictorderP(cons(_303744, nil)))], (156 ^ _250107) ^ [_255019, _255021, _255023, _255025] : [-(geq(_255023, _255019)), geq(_255025, _255021), _255025 = _255023, _255021 = _255019], (891 ^ _250107) ^ [] : [-(ssList(nil))], (983 ^ _250107) ^ [_286704] : [ssList(_286704), 986 ^ _250107 : [(987 ^ _250107) ^ [_286839] : [ssItem(_286839), -(tl(cons(_286839, _286704)) = _286704)]]], (86 ^ _250107) ^ [_252926, _252928] : [-(cyclefreeP(_252926)), _252928 = _252926, cyclefreeP(_252928)], (1277 ^ _250107) ^ [_295994] : [ssItem(_295994), 1280 ^ _250107 : [(1281 ^ _250107) ^ [_296162] : [ssItem(_296162), 1284 ^ _250107 : [(1285 ^ _250107) ^ [_296326] : [ssList(_296326), 1288 ^ _250107 : [(1289 ^ _250107) ^ [_296486] : [ssList(_296486), 1292 ^ _250107 : [(1301 ^ _250107) ^ [] : [-(frontsegP(cons(_295994, _296326), cons(_296162, _296486))), _295994 = _296162, frontsegP(_296326, _296486)], (1293 ^ _250107) ^ [] : [frontsegP(cons(_295994, _296326), cons(_296162, _296486)), 1296 ^ _250107 : [(1299 ^ _250107) ^ [] : [-(frontsegP(_296326, _296486))], (1297 ^ _250107) ^ [] : [-(_295994 = _296162)]]]]]]]]]]], (1703 ^ _250107) ^ [_309020] : [ssList(_309020), 1706 ^ _250107 : [(1707 ^ _250107) ^ [_309172] : [ssList(_309172), 1710 ^ _250107 : [(1711 ^ _250107) ^ [_309320] : [ssList(_309320), app(_309320, _309172) = app(_309020, _309172), -(_309320 = _309020)]]]]], (514 ^ _250107) ^ [_267633] : [ssList(_267633), 517 ^ _250107 : [(518 ^ _250107) ^ [] : [totalorderP(_267633), 521 ^ _250107 : [(522 ^ _250107) ^ [_267935] : [ssItem(_267935), 525 ^ _250107 : [(526 ^ _250107) ^ [_268125] : [ssItem(_268125), 529 ^ _250107 : [(530 ^ _250107) ^ [_268311] : [ssList(_268311), 533 ^ _250107 : [(534 ^ _250107) ^ [_268493] : [ssList(_268493), 537 ^ _250107 : [(538 ^ _250107) ^ [_268671] : [ssList(_268671), app(app(_268311, cons(_267935, _268493)), cons(_268125, _268671)) = _267633, -(leq(_267935, _268125)), -(leq(_268125, _267935))]]]]]]]]]]], (552 ^ _250107) ^ [] : [554 ^ _250107 : [(561 ^ _250107) ^ [] : [-(ssList(559 ^ [_267633]))], (569 ^ _250107) ^ [] : [-(app(app(559 ^ [_267633], cons(553 ^ [_267633], 562 ^ [_267633])), cons(556 ^ [_267633], 565 ^ [_267633])) = _267633)], (555 ^ _250107) ^ [] : [-(ssItem(553 ^ [_267633]))], (571 ^ _250107) ^ [] : [leq(553 ^ [_267633], 556 ^ [_267633])], (564 ^ _250107) ^ [] : [-(ssList(562 ^ [_267633]))], (567 ^ _250107) ^ [] : [-(ssList(565 ^ [_267633]))], (573 ^ _250107) ^ [] : [leq(556 ^ [_267633], 553 ^ [_267633])], (558 ^ _250107) ^ [] : [-(ssItem(556 ^ [_267633]))]], -(totalorderP(_267633))]]], (1419 ^ _250107) ^ [_300419] : [ssList(_300419), 1422 ^ _250107 : [(1423 ^ _250107) ^ [_300571] : [ssList(_300571), 1426 ^ _250107 : [(1427 ^ _250107) ^ [_300719] : [ssList(_300719), -(segmentP(_300419, _300719)), segmentP(_300419, _300571), segmentP(_300571, _300719)]]]]], (1641 ^ _250107) ^ [_307157] : [ssList(_307157), -(nil = _307157), 1649 ^ _250107 : [(1652 ^ _250107) ^ [] : [-(hd(_307157) = 1648 ^ [_307157])], (1650 ^ _250107) ^ [] : [-(ssItem(1648 ^ [_307157]))]]], (222 ^ _250107) ^ [_257062, _257064] : [-(ssItem(_257062)), _257064 = _257062, ssItem(_257064)], (126 ^ _250107) ^ [_254106, _254108] : [-(strictorderedP(_254106)), _254108 = _254106, strictorderedP(_254108)]], input).
% 44.19/43.78  ncf('1',plain,[ssItem(2008 ^ []), 1997 : -(memberP(1985 ^ [], 2008 ^ [])), 1997 : memberP(1982 ^ [], 2008 ^ [])],start(1993 ^ 0,bind([[_319212], [2008 ^ []]]))).
% 44.19/43.78  ncf('1.1',plain,[-(ssItem(2008 ^ []))],extension(2010 ^ 1)).
% 44.19/43.78  ncf('1.2',plain,[memberP(1985 ^ [], 2008 ^ []), -(memberP(1979 ^ [], 2008 ^ [])), 1985 ^ [] = 1979 ^ [], 2008 ^ [] = 2008 ^ []],extension(232 ^ 3,bind([[_257365, _257367, _257369, _257371], [2008 ^ [], 2008 ^ [], 1979 ^ [], 1985 ^ []]]))).
% 44.19/43.78  ncf('1.2.1',plain,[memberP(1979 ^ [], 2008 ^ [])],extension(2014 ^ 4)).
% 44.19/43.78  ncf('1.2.2',plain,[-(1985 ^ [] = 1979 ^ []), 1979 ^ [] = 1985 ^ []],extension(4 ^ 4,bind([[_250338, _250340], [1985 ^ [], 1979 ^ []]]))).
% 44.19/43.78  ncf('1.2.2.1',plain,[-(1979 ^ [] = 1985 ^ [])],extension(1989 ^ 5)).
% 44.19/43.78  ncf('1.2.3',plain,[-(2008 ^ [] = 2008 ^ [])],extension(2 ^ 4,bind([[_250231], [2008 ^ []]]))).
% 44.19/43.78  ncf('1.3',plain,[-(memberP(1982 ^ [], 2008 ^ [])), memberP(1976 ^ [], 2008 ^ []), 1976 ^ [] = 1982 ^ [], 2008 ^ [] = 2008 ^ []],extension(232 ^ 3,bind([[_257365, _257367, _257369, _257371], [2008 ^ [], 2008 ^ [], 1982 ^ [], 1976 ^ []]]))).
% 44.19/43.78  ncf('1.3.1',plain,[-(memberP(1976 ^ [], 2008 ^ []))],extension(2012 ^ 4)).
% 44.19/43.78  ncf('1.3.2',plain,[-(1976 ^ [] = 1982 ^ [])],extension(1991 ^ 4)).
% 44.19/43.78  ncf('1.3.3',plain,[-(2008 ^ [] = 2008 ^ [])],extension(2 ^ 4,bind([[_250231], [2008 ^ []]]))).
% 44.19/43.78  %-----------------------------------------------------
% 44.19/43.78  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------