TSTP Solution File: LAT385+4 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : LAT385+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n021.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 0.41s 1.40s
% Output : Proof 0.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : LAT385+4 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.13 % Command : nanocop.sh %s %d
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 18 14:18:57 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.41/1.40
% 0.41/1.40 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.41/1.40 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/1.40 %-----------------------------------------------------
% 0.41/1.40 ncf(matrix, plain, [(939 ^ _119829) ^ [_151388] : [aInfimumOfIn0(_151388, xP, xU)], (909 ^ _119829) ^ [_150405] : [aElementOf0(_150405, xU), 914 ^ _119829 : [(924 ^ _119829) ^ [] : [aLowerBoundOfIn0(_150405, xP, xU)], (915 ^ _119829) ^ [] : [aElementOf0(_150405, xU), 919 ^ _119829 : [(920 ^ _119829) ^ [] : [-(aElementOf0(918 ^ [_150405], xP))], (922 ^ _119829) ^ [] : [sdtlseqdt0(_150405, 918 ^ [_150405])]]]], 926 ^ _119829 : [(937 ^ _119829) ^ [] : [sdtlseqdt0(925 ^ [_150405], _150405)], (927 ^ _119829) ^ [] : [-(aElementOf0(925 ^ [_150405], xU))], (935 ^ _119829) ^ [] : [-(aLowerBoundOfIn0(925 ^ [_150405], xP, xU))], (929 ^ _119829) ^ [_151116] : [aElementOf0(_151116, xP), -(sdtlseqdt0(925 ^ [_150405], _151116))]]], (222 ^ _119829) ^ [_127069, _127071] : [_127071 = _127069, -(szRzazndt0(_127071) = szRzazndt0(_127069))], (228 ^ _119829) ^ [_127287, _127289] : [_127289 = _127287, -(szDzozmdt0(_127289) = szDzozmdt0(_127287))], (234 ^ _119829) ^ [_127505, _127507] : [_127507 = _127505, -(cS1142(_127507) = cS1142(_127505))], (240 ^ _119829) ^ [_127751, _127753, _127755, _127757] : [-(sdtlpdtrp0(_127757, _127753) = sdtlpdtrp0(_127755, _127751)), _127757 = _127755, _127753 = _127751], (250 ^ _119829) ^ [_128118, _128120, _128122, _128124, _128126, _128128] : [-(cS1241(_128128, _128124, _128120) = cS1241(_128126, _128122, _128118)), _128128 = _128126, _128124 = _128122, _128120 = _128118], (2 ^ _119829) ^ [_119973] : [-(_119973 = _119973)], (4 ^ _119829) ^ [_120080, _120082] : [_120082 = _120080, -(_120080 = _120082)], (10 ^ _119829) ^ [_120284, _120286, _120288] : [-(_120288 = _120284), _120288 = _120286, _120286 = _120284], (20 ^ _119829) ^ [_120597, _120599] : [-(isEmpty0(_120597)), _120599 = _120597, isEmpty0(_120599)], (30 ^ _119829) ^ [_120892, _120894] : [-(aElement0(_120892)), _120894 = _120892, aElement0(_120894)], (40 ^ _119829) ^ [_121243, _121245, _121247, _121249, _121251, _121253] : [-(aSupremumOfIn0(_121251, _121247, _121243)), aSupremumOfIn0(_121253, _121249, _121245), _121253 = _121251, _121249 = _121247, _121245 = _121243], (58 ^ _119829) ^ [_121796, _121798] : [-(aCompleteLattice0(_121796)), _121798 = _121796, aCompleteLattice0(_121798)], (68 ^ _119829) ^ [_122091, _122093] : [-(aFunction0(_122091)), _122093 = _122091, aFunction0(_122093)], (78 ^ _119829) ^ [_122386, _122388] : [-(isMonotone0(_122386)), _122388 = _122386, isMonotone0(_122388)], (88 ^ _119829) ^ [_122709, _122711, _122713, _122715] : [-(isOn0(_122713, _122709)), isOn0(_122715, _122711), _122715 = _122713, _122711 = _122709], (102 ^ _119829) ^ [_123153, _123155, _123157, _123159] : [-(aFixedPointOf0(_123157, _123153)), aFixedPointOf0(_123159, _123155), _123159 = _123157, _123155 = _123153], (116 ^ _119829) ^ [_123597, _123599, _123601, _123603] : [-(aSubsetOf0(_123601, _123597)), aSubsetOf0(_123603, _123599), _123603 = _123601, _123599 = _123597], (130 ^ _119829) ^ [_124013, _124015] : [-(aSet0(_124013)), _124015 = _124013, aSet0(_124015)], (140 ^ _119829) ^ [_124364, _124366, _124368, _124370, _124372, _124374] : [-(aUpperBoundOfIn0(_124372, _124368, _124364)), aUpperBoundOfIn0(_124374, _124370, _124366), _124374 = _124372, _124370 = _124368, _124366 = _124364], (158 ^ _119829) ^ [_124945, _124947, _124949, _124951] : [-(aElementOf0(_124949, _124945)), aElementOf0(_124951, _124947), _124951 = _124949, _124947 = _124945], (172 ^ _119829) ^ [_125417, _125419, _125421, _125423, _125425, _125427] : [-(aLowerBoundOfIn0(_125425, _125421, _125417)), aLowerBoundOfIn0(_125427, _125423, _125419), _125427 = _125425, _125423 = _125421, _125419 = _125417], (190 ^ _119829) ^ [_125998, _126000, _126002, _126004] : [-(sdtlseqdt0(_126002, _125998)), sdtlseqdt0(_126004, _126000), _126004 = _126002, _126000 = _125998], (204 ^ _119829) ^ [_126450, _126452, _126454, _126456, _126458, _126460] : [-(aInfimumOfIn0(_126458, _126454, _126450)), aInfimumOfIn0(_126460, _126456, _126452), _126460 = _126458, _126456 = _126454, _126452 = _126450], (264 ^ _119829) ^ [_128586] : [aSet0(_128586), true___, -(true___)], (274 ^ _119829) ^ [_128841] : [aElement0(_128841), true___, -(true___)], (284 ^ _119829) ^ [_129096] : [aSet0(_129096), 287 ^ _119829 : [(288 ^ _119829) ^ [_129226] : [aElementOf0(_129226, _129096), -(aElement0(_129226))]]], (294 ^ _119829) ^ [_129427] : [aSet0(_129427), 297 ^ _119829 : [(298 ^ _119829) ^ [] : [isEmpty0(_129427), 301 ^ _119829 : [(302 ^ _119829) ^ [_129646] : [aElementOf0(_129646, _129427)]]], (304 ^ _119829) ^ [] : [-(aElementOf0(305 ^ [_129427], _129427)), -(isEmpty0(_129427))]]], (311 ^ _119829) ^ [_129922] : [aSet0(_129922), 314 ^ _119829 : [(315 ^ _119829) ^ [_130098] : [aSubsetOf0(_130098, _129922), 318 ^ _119829 : [(319 ^ _119829) ^ [] : [-(aSet0(_130098))], (321 ^ _119829) ^ [_130307] : [aElementOf0(_130307, _130098), -(aElementOf0(_130307, _129922))]]], (327 ^ _119829) ^ [_130486] : [-(aSubsetOf0(_130486, _129922)), aSet0(_130486), 333 ^ _119829 : [(334 ^ _119829) ^ [] : [-(aElementOf0(332 ^ [_129922, _130486], _130486))], (336 ^ _119829) ^ [] : [aElementOf0(332 ^ [_129922, _130486], _129922)]]]]], (340 ^ _119829) ^ [_130937, _130939] : [aElement0(_130939), aElement0(_130937), sdtlseqdt0(_130939, _130937), true___, -(true___)], (358 ^ _119829) ^ [_131383] : [aElement0(_131383), -(sdtlseqdt0(_131383, _131383))], (364 ^ _119829) ^ [_131585, _131587] : [aElement0(_131587), aElement0(_131585), -(_131587 = _131585), sdtlseqdt0(_131587, _131585), sdtlseqdt0(_131585, _131587)], (382 ^ _119829) ^ [_132074, _132076, _132078] : [aElement0(_132078), aElement0(_132076), aElement0(_132074), -(sdtlseqdt0(_132078, _132074)), sdtlseqdt0(_132078, _132076), sdtlseqdt0(_132076, _132074)], (404 ^ _119829) ^ [_132646] : [aSet0(_132646), 407 ^ _119829 : [(408 ^ _119829) ^ [_132806] : [aSubsetOf0(_132806, _132646), 411 ^ _119829 : [(412 ^ _119829) ^ [_132992] : [aLowerBoundOfIn0(_132992, _132806, _132646), 415 ^ _119829 : [(416 ^ _119829) ^ [] : [-(aElementOf0(_132992, _132646))], (418 ^ _119829) ^ [_133213] : [aElementOf0(_133213, _132806), -(sdtlseqdt0(_132992, _133213))]]], (424 ^ _119829) ^ [_133400] : [-(aLowerBoundOfIn0(_133400, _132806, _132646)), aElementOf0(_133400, _132646), 430 ^ _119829 : [(431 ^ _119829) ^ [] : [-(aElementOf0(429 ^ [_132646, _132806, _133400], _132806))], (433 ^ _119829) ^ [] : [sdtlseqdt0(_133400, 429 ^ [_132646, _132806, _133400])]]]]]]], (437 ^ _119829) ^ [_133868] : [aSet0(_133868), 440 ^ _119829 : [(441 ^ _119829) ^ [_134028] : [aSubsetOf0(_134028, _133868), 444 ^ _119829 : [(445 ^ _119829) ^ [_134214] : [aUpperBoundOfIn0(_134214, _134028, _133868), 448 ^ _119829 : [(449 ^ _119829) ^ [] : [-(aElementOf0(_134214, _133868))], (451 ^ _119829) ^ [_134435] : [aElementOf0(_134435, _134028), -(sdtlseqdt0(_134435, _134214))]]], (457 ^ _119829) ^ [_134622] : [-(aUpperBoundOfIn0(_134622, _134028, _133868)), aElementOf0(_134622, _133868), 463 ^ _119829 : [(464 ^ _119829) ^ [] : [-(aElementOf0(462 ^ [_133868, _134028, _134622], _134028))], (466 ^ _119829) ^ [] : [sdtlseqdt0(462 ^ [_133868, _134028, _134622], _134622)]]]]]]], (470 ^ _119829) ^ [_135090] : [aSet0(_135090), 473 ^ _119829 : [(474 ^ _119829) ^ [_135258] : [aSubsetOf0(_135258, _135090), 477 ^ _119829 : [(478 ^ _119829) ^ [_135452] : [aInfimumOfIn0(_135452, _135258, _135090), 481 ^ _119829 : [(482 ^ _119829) ^ [] : [-(aElementOf0(_135452, _135090))], (484 ^ _119829) ^ [] : [-(aLowerBoundOfIn0(_135452, _135258, _135090))], (486 ^ _119829) ^ [_135750] : [aLowerBoundOfIn0(_135750, _135258, _135090), -(sdtlseqdt0(_135750, _135452))]]], (492 ^ _119829) ^ [_135941] : [-(aInfimumOfIn0(_135941, _135258, _135090)), aElementOf0(_135941, _135090), aLowerBoundOfIn0(_135941, _135258, _135090), 502 ^ _119829 : [(503 ^ _119829) ^ [] : [-(aLowerBoundOfIn0(501 ^ [_135090, _135258, _135941], _135258, _135090))], (505 ^ _119829) ^ [] : [sdtlseqdt0(501 ^ [_135090, _135258, _135941], _135941)]]]]]]], (509 ^ _119829) ^ [_136507] : [aSet0(_136507), 512 ^ _119829 : [(513 ^ _119829) ^ [_136675] : [aSubsetOf0(_136675, _136507), 516 ^ _119829 : [(517 ^ _119829) ^ [_136869] : [aSupremumOfIn0(_136869, _136675, _136507), 520 ^ _119829 : [(521 ^ _119829) ^ [] : [-(aElementOf0(_136869, _136507))], (523 ^ _119829) ^ [] : [-(aUpperBoundOfIn0(_136869, _136675, _136507))], (525 ^ _119829) ^ [_137167] : [aUpperBoundOfIn0(_137167, _136675, _136507), -(sdtlseqdt0(_136869, _137167))]]], (531 ^ _119829) ^ [_137358] : [-(aSupremumOfIn0(_137358, _136675, _136507)), aElementOf0(_137358, _136507), aUpperBoundOfIn0(_137358, _136675, _136507), 541 ^ _119829 : [(542 ^ _119829) ^ [] : [-(aUpperBoundOfIn0(540 ^ [_136507, _136675, _137358], _136675, _136507))], (544 ^ _119829) ^ [] : [sdtlseqdt0(_137358, 540 ^ [_136507, _136675, _137358])]]]]]]], (548 ^ _119829) ^ [_137924] : [aSet0(_137924), 551 ^ _119829 : [(552 ^ _119829) ^ [_138079] : [aSubsetOf0(_138079, _137924), 555 ^ _119829 : [(556 ^ _119829) ^ [_138245, _138247] : [-(_138247 = _138245), aSupremumOfIn0(_138247, _138079, _137924), aSupremumOfIn0(_138245, _138079, _137924)]]]]], (566 ^ _119829) ^ [_138568] : [aSet0(_138568), 569 ^ _119829 : [(570 ^ _119829) ^ [_138723] : [aSubsetOf0(_138723, _138568), 573 ^ _119829 : [(574 ^ _119829) ^ [_138889, _138891] : [-(_138891 = _138889), aInfimumOfIn0(_138891, _138723, _138568), aInfimumOfIn0(_138889, _138723, _138568)]]]]], (584 ^ _119829) ^ [_139241] : [aCompleteLattice0(_139241), 587 ^ _119829 : [(588 ^ _119829) ^ [] : [-(aSet0(_139241))], (590 ^ _119829) ^ [_139458] : [aSubsetOf0(_139458, _139241), 594 ^ _119829 : [(595 ^ _119829) ^ [] : [-(aInfimumOfIn0(593 ^ [_139241, _139458], _139458, _139241))], (598 ^ _119829) ^ [] : [-(aSupremumOfIn0(596 ^ [_139241, _139458], _139458, _139241))]]]]], (600 ^ _119829) ^ [_139836] : [-(aCompleteLattice0(_139836)), aSet0(_139836), 606 ^ _119829 : [(607 ^ _119829) ^ [] : [-(aSubsetOf0(605 ^ [_139836], _139836))], (609 ^ _119829) ^ [_140156] : [aInfimumOfIn0(_140156, 605 ^ [_139836], _139836), 612 ^ _119829 : [(613 ^ _119829) ^ [_140291] : [aSupremumOfIn0(_140291, 605 ^ [_139836], _139836)]]]]], (617 ^ _119829) ^ [_140455] : [aFunction0(_140455), true___, -(true___)], (627 ^ _119829) ^ [_140710] : [aFunction0(_140710), -(aSet0(szDzozmdt0(_140710)))], (633 ^ _119829) ^ [_140900] : [aFunction0(_140900), -(aSet0(szRzazndt0(_140900)))], (639 ^ _119829) ^ [_141104, _141106] : [aFunction0(_141106), aSet0(_141104), 646 ^ _119829 : [(647 ^ _119829) ^ [] : [isOn0(_141106, _141104), 650 ^ _119829 : [(651 ^ _119829) ^ [] : [-(szDzozmdt0(_141106) = szRzazndt0(_141106))], (653 ^ _119829) ^ [] : [-(szRzazndt0(_141106) = _141104)]]], (655 ^ _119829) ^ [] : [-(isOn0(_141106, _141104)), szDzozmdt0(_141106) = szRzazndt0(_141106), szRzazndt0(_141106) = _141104]]], (665 ^ _119829) ^ [_141813] : [aFunction0(_141813), 668 ^ _119829 : [(669 ^ _119829) ^ [_141951] : [aElementOf0(_141951, szDzozmdt0(_141813)), -(aElementOf0(sdtlpdtrp0(_141813, _141951), szRzazndt0(_141813)))]]], (675 ^ _119829) ^ [_142168] : [aFunction0(_142168), 678 ^ _119829 : [(679 ^ _119829) ^ [_142339] : [aFixedPointOf0(_142339, _142168), 682 ^ _119829 : [(683 ^ _119829) ^ [] : [-(aElementOf0(_142339, szDzozmdt0(_142168)))], (685 ^ _119829) ^ [] : [-(sdtlpdtrp0(_142168, _142339) = _142339)]]], (687 ^ _119829) ^ [_142588] : [-(aFixedPointOf0(_142588, _142168)), aElementOf0(_142588, szDzozmdt0(_142168)), sdtlpdtrp0(_142168, _142588) = _142588]]], (697 ^ _119829) ^ [_142892] : [aFunction0(_142892), 700 ^ _119829 : [(719 ^ _119829) ^ [] : [722 ^ _119829 : [(723 ^ _119829) ^ [] : [-(aElementOf0(720 ^ [_142892], szDzozmdt0(_142892)))], (725 ^ _119829) ^ [] : [-(aElementOf0(721 ^ [_142892], szDzozmdt0(_142892)))], (727 ^ _119829) ^ [] : [-(sdtlseqdt0(720 ^ [_142892], 721 ^ [_142892]))], (729 ^ _119829) ^ [] : [sdtlseqdt0(sdtlpdtrp0(_142892, 720 ^ [_142892]), sdtlpdtrp0(_142892, 721 ^ [_142892]))]], -(isMonotone0(_142892))], (701 ^ _119829) ^ [] : [isMonotone0(_142892), 704 ^ _119829 : [(705 ^ _119829) ^ [_143172, _143174] : [aElementOf0(_143174, szDzozmdt0(_142892)), aElementOf0(_143172, szDzozmdt0(_142892)), sdtlseqdt0(_143174, _143172), -(sdtlseqdt0(sdtlpdtrp0(_142892, _143174), sdtlpdtrp0(_142892, _143172)))]]]]], (834 ^ _119829) ^ [] : [-(aSet0(xS))], (858 ^ _119829) ^ [] : [-(xS = cS1142(xf))], (836 ^ _119829) ^ [_147963] : [aElementOf0(_147963, xS), 839 ^ _119829 : [(840 ^ _119829) ^ [] : [-(aElementOf0(_147963, szDzozmdt0(xf)))], (842 ^ _119829) ^ [] : [-(sdtlpdtrp0(xf, _147963) = _147963)], (844 ^ _119829) ^ [] : [-(aFixedPointOf0(_147963, xf))]]], (846 ^ _119829) ^ [_148270] : [-(aElementOf0(_148270, xS)), 847 ^ _119829 : [(854 ^ _119829) ^ [] : [aFixedPointOf0(_148270, xf)], (848 ^ _119829) ^ [] : [aElementOf0(_148270, szDzozmdt0(xf)), sdtlpdtrp0(xf, _148270) = _148270]]], (860 ^ _119829) ^ [] : [-(aSet0(xT))], (868 ^ _119829) ^ [] : [-(aSubsetOf0(xT, xS))], (862 ^ _119829) ^ [_148735] : [aElementOf0(_148735, xT), -(aElementOf0(_148735, xS))], (870 ^ _119829) ^ [] : [-(aSet0(xP))], (907 ^ _119829) ^ [] : [-(xP = cS1241(xU, xf, xT))], (872 ^ _119829) ^ [_149035] : [aElementOf0(_149035, xP), 875 ^ _119829 : [(876 ^ _119829) ^ [] : [-(aElementOf0(_149035, xU))], (878 ^ _119829) ^ [] : [-(sdtlseqdt0(sdtlpdtrp0(xf, _149035), _149035))], (886 ^ _119829) ^ [] : [-(aUpperBoundOfIn0(_149035, xT, xU))], (880 ^ _119829) ^ [_149341] : [aElementOf0(_149341, xT), -(sdtlseqdt0(_149341, _149035))]]], (888 ^ _119829) ^ [_149561] : [-(aElementOf0(_149561, xP)), aElementOf0(_149561, xU), sdtlseqdt0(sdtlpdtrp0(xf, _149561), _149561), 898 ^ _119829 : [(899 ^ _119829) ^ [] : [-(aElementOf0(897 ^ [_149561], xT))], (901 ^ _119829) ^ [] : [sdtlseqdt0(897 ^ [_149561], _149561)], (903 ^ _119829) ^ [] : [aUpperBoundOfIn0(_149561, xT, xU)]]], (733 ^ _119829) ^ [] : [-(aSet0(xU))], (808 ^ _119829) ^ [] : [-(aCompleteLattice0(xU))], (810 ^ _119829) ^ [] : [-(aFunction0(xf))], (826 ^ _119829) ^ [] : [-(isMonotone0(xf))], (828 ^ _119829) ^ [] : [-(szDzozmdt0(xf) = szRzazndt0(xf))], (830 ^ _119829) ^ [] : [-(szRzazndt0(xf) = xU)], (832 ^ _119829) ^ [] : [-(isOn0(xf, xU))], (812 ^ _119829) ^ [_147256, _147258] : [aElementOf0(_147258, szDzozmdt0(xf)), aElementOf0(_147256, szDzozmdt0(xf)), sdtlseqdt0(_147258, _147256), -(sdtlseqdt0(sdtlpdtrp0(xf, _147258), sdtlpdtrp0(xf, _147256)))], (735 ^ _119829) ^ [_144190] : [736 ^ _119829 : [(746 ^ _119829) ^ [] : [aSubsetOf0(_144190, xU)], (737 ^ _119829) ^ [] : [aSet0(_144190), 741 ^ _119829 : [(742 ^ _119829) ^ [] : [-(aElementOf0(740 ^ [_144190], _144190))], (744 ^ _119829) ^ [] : [aElementOf0(740 ^ [_144190], xU)]]]], 748 ^ _119829 : [(749 ^ _119829) ^ [] : [-(aElementOf0(747 ^ [_144190], xU))], (751 ^ _119829) ^ [] : [-(aElementOf0(747 ^ [_144190], xU))], (753 ^ _119829) ^ [_145139] : [aElementOf0(_145139, _144190), -(sdtlseqdt0(747 ^ [_144190], _145139))], (759 ^ _119829) ^ [] : [-(aLowerBoundOfIn0(747 ^ [_144190], _144190, xU))], (761 ^ _119829) ^ [_145417] : [-(sdtlseqdt0(_145417, 747 ^ [_144190])), 762 ^ _119829 : [(772 ^ _119829) ^ [] : [aLowerBoundOfIn0(_145417, _144190, xU)], (763 ^ _119829) ^ [] : [aElementOf0(_145417, xU), 767 ^ _119829 : [(768 ^ _119829) ^ [] : [-(aElementOf0(766 ^ [_144190, _145417], _144190))], (770 ^ _119829) ^ [] : [sdtlseqdt0(_145417, 766 ^ [_144190, _145417])]]]]], (776 ^ _119829) ^ [] : [-(aInfimumOfIn0(747 ^ [_144190], _144190, xU))], (779 ^ _119829) ^ [] : [-(aElementOf0(777 ^ [_144190], xU))], (781 ^ _119829) ^ [] : [-(aElementOf0(777 ^ [_144190], xU))], (783 ^ _119829) ^ [_146262] : [aElementOf0(_146262, _144190), -(sdtlseqdt0(_146262, 777 ^ [_144190]))], (789 ^ _119829) ^ [] : [-(aUpperBoundOfIn0(777 ^ [_144190], _144190, xU))], (806 ^ _119829) ^ [] : [-(aSupremumOfIn0(777 ^ [_144190], _144190, xU))], (791 ^ _119829) ^ [_146540] : [-(sdtlseqdt0(777 ^ [_144190], _146540)), 792 ^ _119829 : [(802 ^ _119829) ^ [] : [aUpperBoundOfIn0(_146540, _144190, xU)], (793 ^ _119829) ^ [] : [aElementOf0(_146540, xU), 797 ^ _119829 : [(798 ^ _119829) ^ [] : [-(aElementOf0(796 ^ [_144190, _146540], _144190))], (800 ^ _119829) ^ [] : [sdtlseqdt0(796 ^ [_144190, _146540], _146540)]]]]]]]], input).
% 0.41/1.40 ncf('1',plain,[aInfimumOfIn0(747 ^ [xP], xP, xU)],start(939 ^ 0,bind([[_151388], [747 ^ [xP]]]))).
% 0.41/1.40 ncf('1.1',plain,[-(aInfimumOfIn0(747 ^ [xP], xP, xU)), 737 : aSet0(xP), 742 : -(aElementOf0(740 ^ [xP], xP))],extension(735 ^ 1,bind([[_144190], [xP]]))).
% 0.41/1.40 ncf('1.1.1',plain,[-(aSet0(xP))],extension(870 ^ 4)).
% 0.41/1.40 ncf('1.1.2',plain,[aElementOf0(740 ^ [xP], xP), 876 : -(aElementOf0(740 ^ [xP], xU))],extension(872 ^ 6,bind([[_149035], [740 ^ [xP]]]))).
% 0.41/1.40 ncf('1.1.2.1',plain,[aElementOf0(740 ^ [xP], xU)],extension(744 ^ 9)).
% 0.41/1.40 %-----------------------------------------------------
% 0.41/1.40 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------