%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : LAT388+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n027.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 11:29:05 EDT 2023
% Result : Theorem 0.34s 1.38s
% Output : Proof 0.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT388+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n027.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 : Thu May 18 14:22:20 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.34/1.38
% 0.34/1.38 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.34/1.38 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/1.38 %-----------------------------------------------------
% 0.34/1.38 ncf(matrix, plain, [(757 ^ _90234) ^ [_115323] : [aSupremumOfIn0(_115323, xT, xS)], (222 ^ _90234) ^ [_97474, _97476] : [_97476 = _97474, -(szRzazndt0(_97476) = szRzazndt0(_97474))], (228 ^ _90234) ^ [_97692, _97694] : [_97694 = _97692, -(szDzozmdt0(_97694) = szDzozmdt0(_97692))], (234 ^ _90234) ^ [_97910, _97912] : [_97912 = _97910, -(cS1142(_97912) = cS1142(_97910))], (254 ^ _90234) ^ [_98652, _98654, _98656, _98658] : [-(sdtlpdtrp0(_98658, _98654) = sdtlpdtrp0(_98656, _98652)), _98658 = _98656, _98654 = _98652], (240 ^ _90234) ^ [_98184, _98186, _98188, _98190, _98192, _98194] : [-(cS1241(_98194, _98190, _98186) = cS1241(_98192, _98188, _98184)), _98194 = _98192, _98190 = _98188, _98186 = _98184], (2 ^ _90234) ^ [_90378] : [-(_90378 = _90378)], (4 ^ _90234) ^ [_90485, _90487] : [_90487 = _90485, -(_90485 = _90487)], (10 ^ _90234) ^ [_90689, _90691, _90693] : [-(_90693 = _90689), _90693 = _90691, _90691 = _90689], (20 ^ _90234) ^ [_91002, _91004] : [-(isEmpty0(_91002)), _91004 = _91002, isEmpty0(_91004)], (30 ^ _90234) ^ [_91297, _91299] : [-(aElement0(_91297)), _91299 = _91297, aElement0(_91299)], (40 ^ _90234) ^ [_91592, _91594] : [-(aSet0(_91592)), _91594 = _91592, aSet0(_91594)], (50 ^ _90234) ^ [_91915, _91917, _91919, _91921] : [-(aElementOf0(_91919, _91915)), aElementOf0(_91921, _91917), _91921 = _91919, _91917 = _91915], (64 ^ _90234) ^ [_92359, _92361, _92363, _92365] : [-(sdtlseqdt0(_92363, _92359)), sdtlseqdt0(_92365, _92361), _92365 = _92363, _92361 = _92359], (78 ^ _90234) ^ [_92775, _92777] : [-(aCompleteLattice0(_92775)), _92777 = _92775, aCompleteLattice0(_92777)], (88 ^ _90234) ^ [_93070, _93072] : [-(aFunction0(_93070)), _93072 = _93070, aFunction0(_93072)], (98 ^ _90234) ^ [_93365, _93367] : [-(isMonotone0(_93365)), _93367 = _93365, isMonotone0(_93367)], (108 ^ _90234) ^ [_93688, _93690, _93692, _93694] : [-(isOn0(_93692, _93688)), isOn0(_93694, _93690), _93694 = _93692, _93690 = _93688], (122 ^ _90234) ^ [_94132, _94134, _94136, _94138] : [-(aSubsetOf0(_94136, _94132)), aSubsetOf0(_94138, _94134), _94138 = _94136, _94134 = _94132], (136 ^ _90234) ^ [_94604, _94606, _94608, _94610, _94612, _94614] : [-(aInfimumOfIn0(_94612, _94608, _94604)), aInfimumOfIn0(_94614, _94610, _94606), _94614 = _94612, _94610 = _94608, _94606 = _94604], (154 ^ _90234) ^ [_95213, _95215, _95217, _95219, _95221, _95223] : [-(aLowerBoundOfIn0(_95221, _95217, _95213)), aLowerBoundOfIn0(_95223, _95219, _95215), _95223 = _95221, _95219 = _95217, _95215 = _95213], (172 ^ _90234) ^ [_95822, _95824, _95826, _95828, _95830, _95832] : [-(aUpperBoundOfIn0(_95830, _95826, _95822)), aUpperBoundOfIn0(_95832, _95828, _95824), _95832 = _95830, _95828 = _95826, _95824 = _95822], (190 ^ _90234) ^ [_96403, _96405, _96407, _96409] : [-(aFixedPointOf0(_96407, _96403)), aFixedPointOf0(_96409, _96405), _96409 = _96407, _96405 = _96403], (204 ^ _90234) ^ [_96855, _96857, _96859, _96861, _96863, _96865] : [-(aSupremumOfIn0(_96863, _96859, _96855)), aSupremumOfIn0(_96865, _96861, _96857), _96865 = _96863, _96861 = _96859, _96857 = _96855], (264 ^ _90234) ^ [_98991] : [aSet0(_98991), true___, -(true___)], (274 ^ _90234) ^ [_99246] : [aElement0(_99246), true___, -(true___)], (284 ^ _90234) ^ [_99501] : [aSet0(_99501), 287 ^ _90234 : [(288 ^ _90234) ^ [_99631] : [aElementOf0(_99631, _99501), -(aElement0(_99631))]]], (294 ^ _90234) ^ [_99832] : [aSet0(_99832), 297 ^ _90234 : [(298 ^ _90234) ^ [] : [isEmpty0(_99832), 301 ^ _90234 : [(302 ^ _90234) ^ [_100051] : [aElementOf0(_100051, _99832)]]], (304 ^ _90234) ^ [] : [-(aElementOf0(305 ^ [_99832], _99832)), -(isEmpty0(_99832))]]], (311 ^ _90234) ^ [_100327] : [aSet0(_100327), 314 ^ _90234 : [(315 ^ _90234) ^ [_100503] : [aSubsetOf0(_100503, _100327), 318 ^ _90234 : [(319 ^ _90234) ^ [] : [-(aSet0(_100503))], (321 ^ _90234) ^ [_100712] : [aElementOf0(_100712, _100503), -(aElementOf0(_100712, _100327))]]], (327 ^ _90234) ^ [_100891] : [-(aSubsetOf0(_100891, _100327)), aSet0(_100891), 333 ^ _90234 : [(334 ^ _90234) ^ [] : [-(aElementOf0(332 ^ [_100327, _100891], _100891))], (336 ^ _90234) ^ [] : [aElementOf0(332 ^ [_100327, _100891], _100327)]]]]], (340 ^ _90234) ^ [_101342, _101344] : [aElement0(_101344), aElement0(_101342), sdtlseqdt0(_101344, _101342), true___, -(true___)], (358 ^ _90234) ^ [_101788] : [aElement0(_101788), -(sdtlseqdt0(_101788, _101788))], (364 ^ _90234) ^ [_101990, _101992] : [aElement0(_101992), aElement0(_101990), -(_101992 = _101990), sdtlseqdt0(_101992, _101990), sdtlseqdt0(_101990, _101992)], (382 ^ _90234) ^ [_102479, _102481, _102483] : [aElement0(_102483), aElement0(_102481), aElement0(_102479), -(sdtlseqdt0(_102483, _102479)), sdtlseqdt0(_102483, _102481), sdtlseqdt0(_102481, _102479)], (404 ^ _90234) ^ [_103051] : [aSet0(_103051), 407 ^ _90234 : [(408 ^ _90234) ^ [_103211] : [aSubsetOf0(_103211, _103051), 411 ^ _90234 : [(412 ^ _90234) ^ [_103397] : [aLowerBoundOfIn0(_103397, _103211, _103051), 415 ^ _90234 : [(416 ^ _90234) ^ [] : [-(aElementOf0(_103397, _103051))], (418 ^ _90234) ^ [_103618] : [aElementOf0(_103618, _103211), -(sdtlseqdt0(_103397, _103618))]]], (424 ^ _90234) ^ [_103805] : [-(aLowerBoundOfIn0(_103805, _103211, _103051)), aElementOf0(_103805, _103051), 430 ^ _90234 : [(431 ^ _90234) ^ [] : [-(aElementOf0(429 ^ [_103051, _103211, _103805], _103211))], (433 ^ _90234) ^ [] : [sdtlseqdt0(_103805, 429 ^ [_103051, _103211, _103805])]]]]]]], (437 ^ _90234) ^ [_104273] : [aSet0(_104273), 440 ^ _90234 : [(441 ^ _90234) ^ [_104433] : [aSubsetOf0(_104433, _104273), 444 ^ _90234 : [(445 ^ _90234) ^ [_104619] : [aUpperBoundOfIn0(_104619, _104433, _104273), 448 ^ _90234 : [(449 ^ _90234) ^ [] : [-(aElementOf0(_104619, _104273))], (451 ^ _90234) ^ [_104840] : [aElementOf0(_104840, _104433), -(sdtlseqdt0(_104840, _104619))]]], (457 ^ _90234) ^ [_105027] : [-(aUpperBoundOfIn0(_105027, _104433, _104273)), aElementOf0(_105027, _104273), 463 ^ _90234 : [(464 ^ _90234) ^ [] : [-(aElementOf0(462 ^ [_104273, _104433, _105027], _104433))], (466 ^ _90234) ^ [] : [sdtlseqdt0(462 ^ [_104273, _104433, _105027], _105027)]]]]]]], (470 ^ _90234) ^ [_105495] : [aSet0(_105495), 473 ^ _90234 : [(474 ^ _90234) ^ [_105663] : [aSubsetOf0(_105663, _105495), 477 ^ _90234 : [(478 ^ _90234) ^ [_105857] : [aInfimumOfIn0(_105857, _105663, _105495), 481 ^ _90234 : [(482 ^ _90234) ^ [] : [-(aElementOf0(_105857, _105495))], (484 ^ _90234) ^ [] : [-(aLowerBoundOfIn0(_105857, _105663, _105495))], (486 ^ _90234) ^ [_106155] : [aLowerBoundOfIn0(_106155, _105663, _105495), -(sdtlseqdt0(_106155, _105857))]]], (492 ^ _90234) ^ [_106346] : [-(aInfimumOfIn0(_106346, _105663, _105495)), aElementOf0(_106346, _105495), aLowerBoundOfIn0(_106346, _105663, _105495), 502 ^ _90234 : [(503 ^ _90234) ^ [] : [-(aLowerBoundOfIn0(501 ^ [_105495, _105663, _106346], _105663, _105495))], (505 ^ _90234) ^ [] : [sdtlseqdt0(501 ^ [_105495, _105663, _106346], _106346)]]]]]]], (509 ^ _90234) ^ [_106912] : [aSet0(_106912), 512 ^ _90234 : [(513 ^ _90234) ^ [_107080] : [aSubsetOf0(_107080, _106912), 516 ^ _90234 : [(517 ^ _90234) ^ [_107274] : [aSupremumOfIn0(_107274, _107080, _106912), 520 ^ _90234 : [(521 ^ _90234) ^ [] : [-(aElementOf0(_107274, _106912))], (523 ^ _90234) ^ [] : [-(aUpperBoundOfIn0(_107274, _107080, _106912))], (525 ^ _90234) ^ [_107572] : [aUpperBoundOfIn0(_107572, _107080, _106912), -(sdtlseqdt0(_107274, _107572))]]], (531 ^ _90234) ^ [_107763] : [-(aSupremumOfIn0(_107763, _107080, _106912)), aElementOf0(_107763, _106912), aUpperBoundOfIn0(_107763, _107080, _106912), 541 ^ _90234 : [(542 ^ _90234) ^ [] : [-(aUpperBoundOfIn0(540 ^ [_106912, _107080, _107763], _107080, _106912))], (544 ^ _90234) ^ [] : [sdtlseqdt0(_107763, 540 ^ [_106912, _107080, _107763])]]]]]]], (548 ^ _90234) ^ [_108329] : [aSet0(_108329), 551 ^ _90234 : [(552 ^ _90234) ^ [_108484] : [aSubsetOf0(_108484, _108329), 555 ^ _90234 : [(556 ^ _90234) ^ [_108650, _108652] : [-(_108652 = _108650), aSupremumOfIn0(_108652, _108484, _108329), aSupremumOfIn0(_108650, _108484, _108329)]]]]], (566 ^ _90234) ^ [_108973] : [aSet0(_108973), 569 ^ _90234 : [(570 ^ _90234) ^ [_109128] : [aSubsetOf0(_109128, _108973), 573 ^ _90234 : [(574 ^ _90234) ^ [_109294, _109296] : [-(_109296 = _109294), aInfimumOfIn0(_109296, _109128, _108973), aInfimumOfIn0(_109294, _109128, _108973)]]]]], (584 ^ _90234) ^ [_109646] : [aCompleteLattice0(_109646), 587 ^ _90234 : [(588 ^ _90234) ^ [] : [-(aSet0(_109646))], (590 ^ _90234) ^ [_109863] : [aSubsetOf0(_109863, _109646), 594 ^ _90234 : [(595 ^ _90234) ^ [] : [-(aInfimumOfIn0(593 ^ [_109646, _109863], _109863, _109646))], (598 ^ _90234) ^ [] : [-(aSupremumOfIn0(596 ^ [_109646, _109863], _109863, _109646))]]]]], (600 ^ _90234) ^ [_110241] : [-(aCompleteLattice0(_110241)), aSet0(_110241), 606 ^ _90234 : [(607 ^ _90234) ^ [] : [-(aSubsetOf0(605 ^ [_110241], _110241))], (609 ^ _90234) ^ [_110561] : [aInfimumOfIn0(_110561, 605 ^ [_110241], _110241), 612 ^ _90234 : [(613 ^ _90234) ^ [_110696] : [aSupremumOfIn0(_110696, 605 ^ [_110241], _110241)]]]]], (617 ^ _90234) ^ [_110860] : [aFunction0(_110860), true___, -(true___)], (627 ^ _90234) ^ [_111115] : [aFunction0(_111115), -(aSet0(szDzozmdt0(_111115)))], (633 ^ _90234) ^ [_111305] : [aFunction0(_111305), -(aSet0(szRzazndt0(_111305)))], (639 ^ _90234) ^ [_111509, _111511] : [aFunction0(_111511), aSet0(_111509), 646 ^ _90234 : [(647 ^ _90234) ^ [] : [isOn0(_111511, _111509), 650 ^ _90234 : [(651 ^ _90234) ^ [] : [-(szDzozmdt0(_111511) = szRzazndt0(_111511))], (653 ^ _90234) ^ [] : [-(szRzazndt0(_111511) = _111509)]]], (655 ^ _90234) ^ [] : [-(isOn0(_111511, _111509)), szDzozmdt0(_111511) = szRzazndt0(_111511), szRzazndt0(_111511) = _111509]]], (665 ^ _90234) ^ [_112218] : [aFunction0(_112218), 668 ^ _90234 : [(669 ^ _90234) ^ [_112356] : [aElementOf0(_112356, szDzozmdt0(_112218)), -(aElementOf0(sdtlpdtrp0(_112218, _112356), szRzazndt0(_112218)))]]], (675 ^ _90234) ^ [_112573] : [aFunction0(_112573), 678 ^ _90234 : [(679 ^ _90234) ^ [_112744] : [aFixedPointOf0(_112744, _112573), 682 ^ _90234 : [(683 ^ _90234) ^ [] : [-(aElementOf0(_112744, szDzozmdt0(_112573)))], (685 ^ _90234) ^ [] : [-(sdtlpdtrp0(_112573, _112744) = _112744)]]], (687 ^ _90234) ^ [_112993] : [-(aFixedPointOf0(_112993, _112573)), aElementOf0(_112993, szDzozmdt0(_112573)), sdtlpdtrp0(_112573, _112993) = _112993]]], (733 ^ _90234) ^ [] : [-(aCompleteLattice0(xU))], (735 ^ _90234) ^ [] : [-(aFunction0(xf))], (737 ^ _90234) ^ [] : [-(isMonotone0(xf))], (739 ^ _90234) ^ [] : [-(isOn0(xf, xU))], (741 ^ _90234) ^ [] : [-(xS = cS1142(xf))], (743 ^ _90234) ^ [] : [-(aSubsetOf0(xT, xS))], (745 ^ _90234) ^ [] : [-(xP = cS1241(xU, xf, xT))], (747 ^ _90234) ^ [] : [-(aInfimumOfIn0(xp, xP, xU))], (749 ^ _90234) ^ [] : [-(aLowerBoundOfIn0(sdtlpdtrp0(xf, xp), xP, xU))], (751 ^ _90234) ^ [] : [-(aUpperBoundOfIn0(sdtlpdtrp0(xf, xp), xT, xU))], (753 ^ _90234) ^ [] : [-(aFixedPointOf0(xp, xf))], (755 ^ _90234) ^ [] : [-(aSupremumOfIn0(xp, xT, xS))], (697 ^ _90234) ^ [_113297] : [aFunction0(_113297), 700 ^ _90234 : [(719 ^ _90234) ^ [] : [722 ^ _90234 : [(723 ^ _90234) ^ [] : [-(aElementOf0(720 ^ [_113297], szDzozmdt0(_113297)))], (725 ^ _90234) ^ [] : [-(aElementOf0(721 ^ [_113297], szDzozmdt0(_113297)))], (727 ^ _90234) ^ [] : [-(sdtlseqdt0(720 ^ [_113297], 721 ^ [_113297]))], (729 ^ _90234) ^ [] : [sdtlseqdt0(sdtlpdtrp0(_113297, 720 ^ [_113297]), sdtlpdtrp0(_113297, 721 ^ [_113297]))]], -(isMonotone0(_113297))], (701 ^ _90234) ^ [] : [isMonotone0(_113297), 704 ^ _90234 : [(705 ^ _90234) ^ [_113577, _113579] : [aElementOf0(_113579, szDzozmdt0(_113297)), aElementOf0(_113577, szDzozmdt0(_113297)), sdtlseqdt0(_113579, _113577), -(sdtlseqdt0(sdtlpdtrp0(_113297, _113579), sdtlpdtrp0(_113297, _113577)))]]]]]], input).
% 0.34/1.38 ncf('1',plain,[aSupremumOfIn0(xp, xT, xS)],start(757 ^ 0,bind([[_115323], [xp]]))).
% 0.34/1.38 ncf('1.1',plain,[-(aSupremumOfIn0(xp, xT, xS))],extension(755 ^ 1)).
% 0.34/1.38 %-----------------------------------------------------
% 0.34/1.38 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------