%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : LAT388+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n004.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 0.33s 1.39s
% Output : Proof 0.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT388+4 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : nanocop.sh %s %d
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu May 18 14:08:09 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.33/1.39
% 0.33/1.39 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.33/1.39 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.39 %-----------------------------------------------------
% 0.33/1.39 ncf(matrix, plain, [(1015 ^ _128253) ^ [_162194] : [aSupremumOfIn0(_162194, xT, xS)], (985 ^ _128253) ^ [_161211] : [aElementOf0(_161211, xS), 990 ^ _128253 : [(1000 ^ _128253) ^ [] : [aUpperBoundOfIn0(_161211, xT, xS)], (991 ^ _128253) ^ [] : [aElementOf0(_161211, xS), 995 ^ _128253 : [(996 ^ _128253) ^ [] : [-(aElementOf0(994 ^ [_161211], xT))], (998 ^ _128253) ^ [] : [sdtlseqdt0(994 ^ [_161211], _161211)]]]], 1002 ^ _128253 : [(1013 ^ _128253) ^ [] : [sdtlseqdt0(_161211, 1001 ^ [_161211])], (1003 ^ _128253) ^ [] : [-(aElementOf0(1001 ^ [_161211], xS))], (1011 ^ _128253) ^ [] : [-(aUpperBoundOfIn0(1001 ^ [_161211], xT, xS))], (1005 ^ _128253) ^ [_161922] : [aElementOf0(_161922, xT), -(sdtlseqdt0(_161922, 1001 ^ [_161211]))]]], (222 ^ _128253) ^ [_135493, _135495] : [_135495 = _135493, -(szRzazndt0(_135495) = szRzazndt0(_135493))], (228 ^ _128253) ^ [_135711, _135713] : [_135713 = _135711, -(cS1142(_135713) = cS1142(_135711))], (234 ^ _128253) ^ [_135985, _135987, _135989, _135991, _135993, _135995] : [-(cS1241(_135995, _135991, _135987) = cS1241(_135993, _135989, _135985)), _135995 = _135993, _135991 = _135989, _135987 = _135985], (248 ^ _128253) ^ [_136445, _136447] : [_136447 = _136445, -(szDzozmdt0(_136447) = szDzozmdt0(_136445))], (254 ^ _128253) ^ [_136671, _136673, _136675, _136677] : [-(sdtlpdtrp0(_136677, _136673) = sdtlpdtrp0(_136675, _136671)), _136677 = _136675, _136673 = _136671], (2 ^ _128253) ^ [_128397] : [-(_128397 = _128397)], (4 ^ _128253) ^ [_128504, _128506] : [_128506 = _128504, -(_128504 = _128506)], (10 ^ _128253) ^ [_128708, _128710, _128712] : [-(_128712 = _128708), _128712 = _128710, _128710 = _128708], (20 ^ _128253) ^ [_129021, _129023] : [-(isEmpty0(_129021)), _129023 = _129021, isEmpty0(_129023)], (30 ^ _128253) ^ [_129316, _129318] : [-(aElement0(_129316)), _129318 = _129316, aElement0(_129318)], (40 ^ _128253) ^ [_129611, _129613] : [-(aCompleteLattice0(_129611)), _129613 = _129611, aCompleteLattice0(_129613)], (50 ^ _128253) ^ [_129906, _129908] : [-(aFunction0(_129906)), _129908 = _129906, aFunction0(_129908)], (60 ^ _128253) ^ [_130201, _130203] : [-(isMonotone0(_130201)), _130203 = _130201, isMonotone0(_130203)], (70 ^ _128253) ^ [_130524, _130526, _130528, _130530] : [-(isOn0(_130528, _130524)), isOn0(_130530, _130526), _130530 = _130528, _130526 = _130524], (84 ^ _128253) ^ [_130968, _130970, _130972, _130974] : [-(aSubsetOf0(_130972, _130968)), aSubsetOf0(_130974, _130970), _130974 = _130972, _130970 = _130968], (98 ^ _128253) ^ [_131384, _131386] : [-(aSet0(_131384)), _131386 = _131384, aSet0(_131386)], (108 ^ _128253) ^ [_131735, _131737, _131739, _131741, _131743, _131745] : [-(aInfimumOfIn0(_131743, _131739, _131735)), aInfimumOfIn0(_131745, _131741, _131737), _131745 = _131743, _131741 = _131739, _131737 = _131735], (126 ^ _128253) ^ [_132344, _132346, _132348, _132350, _132352, _132354] : [-(aLowerBoundOfIn0(_132352, _132348, _132344)), aLowerBoundOfIn0(_132354, _132350, _132346), _132354 = _132352, _132350 = _132348, _132346 = _132344], (144 ^ _128253) ^ [_132925, _132927, _132929, _132931] : [-(aFixedPointOf0(_132929, _132925)), aFixedPointOf0(_132931, _132927), _132931 = _132929, _132927 = _132925], (158 ^ _128253) ^ [_133369, _133371, _133373, _133375] : [-(aElementOf0(_133373, _133369)), aElementOf0(_133375, _133371), _133375 = _133373, _133371 = _133369], (172 ^ _128253) ^ [_133841, _133843, _133845, _133847, _133849, _133851] : [-(aUpperBoundOfIn0(_133849, _133845, _133841)), aUpperBoundOfIn0(_133851, _133847, _133843), _133851 = _133849, _133847 = _133845, _133843 = _133841], (190 ^ _128253) ^ [_134422, _134424, _134426, _134428] : [-(sdtlseqdt0(_134426, _134422)), sdtlseqdt0(_134428, _134424), _134428 = _134426, _134424 = _134422], (204 ^ _128253) ^ [_134874, _134876, _134878, _134880, _134882, _134884] : [-(aSupremumOfIn0(_134882, _134878, _134874)), aSupremumOfIn0(_134884, _134880, _134876), _134884 = _134882, _134880 = _134878, _134876 = _134874], (264 ^ _128253) ^ [_137010] : [aSet0(_137010), true___, -(true___)], (274 ^ _128253) ^ [_137265] : [aElement0(_137265), true___, -(true___)], (284 ^ _128253) ^ [_137520] : [aSet0(_137520), 287 ^ _128253 : [(288 ^ _128253) ^ [_137650] : [aElementOf0(_137650, _137520), -(aElement0(_137650))]]], (294 ^ _128253) ^ [_137851] : [aSet0(_137851), 297 ^ _128253 : [(298 ^ _128253) ^ [] : [isEmpty0(_137851), 301 ^ _128253 : [(302 ^ _128253) ^ [_138070] : [aElementOf0(_138070, _137851)]]], (304 ^ _128253) ^ [] : [-(aElementOf0(305 ^ [_137851], _137851)), -(isEmpty0(_137851))]]], (311 ^ _128253) ^ [_138346] : [aSet0(_138346), 314 ^ _128253 : [(315 ^ _128253) ^ [_138522] : [aSubsetOf0(_138522, _138346), 318 ^ _128253 : [(319 ^ _128253) ^ [] : [-(aSet0(_138522))], (321 ^ _128253) ^ [_138731] : [aElementOf0(_138731, _138522), -(aElementOf0(_138731, _138346))]]], (327 ^ _128253) ^ [_138910] : [-(aSubsetOf0(_138910, _138346)), aSet0(_138910), 333 ^ _128253 : [(334 ^ _128253) ^ [] : [-(aElementOf0(332 ^ [_138346, _138910], _138910))], (336 ^ _128253) ^ [] : [aElementOf0(332 ^ [_138346, _138910], _138346)]]]]], (340 ^ _128253) ^ [_139361, _139363] : [aElement0(_139363), aElement0(_139361), sdtlseqdt0(_139363, _139361), true___, -(true___)], (358 ^ _128253) ^ [_139807] : [aElement0(_139807), -(sdtlseqdt0(_139807, _139807))], (364 ^ _128253) ^ [_140009, _140011] : [aElement0(_140011), aElement0(_140009), -(_140011 = _140009), sdtlseqdt0(_140011, _140009), sdtlseqdt0(_140009, _140011)], (382 ^ _128253) ^ [_140498, _140500, _140502] : [aElement0(_140502), aElement0(_140500), aElement0(_140498), -(sdtlseqdt0(_140502, _140498)), sdtlseqdt0(_140502, _140500), sdtlseqdt0(_140500, _140498)], (404 ^ _128253) ^ [_141070] : [aSet0(_141070), 407 ^ _128253 : [(408 ^ _128253) ^ [_141230] : [aSubsetOf0(_141230, _141070), 411 ^ _128253 : [(412 ^ _128253) ^ [_141416] : [aLowerBoundOfIn0(_141416, _141230, _141070), 415 ^ _128253 : [(416 ^ _128253) ^ [] : [-(aElementOf0(_141416, _141070))], (418 ^ _128253) ^ [_141637] : [aElementOf0(_141637, _141230), -(sdtlseqdt0(_141416, _141637))]]], (424 ^ _128253) ^ [_141824] : [-(aLowerBoundOfIn0(_141824, _141230, _141070)), aElementOf0(_141824, _141070), 430 ^ _128253 : [(431 ^ _128253) ^ [] : [-(aElementOf0(429 ^ [_141070, _141230, _141824], _141230))], (433 ^ _128253) ^ [] : [sdtlseqdt0(_141824, 429 ^ [_141070, _141230, _141824])]]]]]]], (437 ^ _128253) ^ [_142292] : [aSet0(_142292), 440 ^ _128253 : [(441 ^ _128253) ^ [_142452] : [aSubsetOf0(_142452, _142292), 444 ^ _128253 : [(445 ^ _128253) ^ [_142638] : [aUpperBoundOfIn0(_142638, _142452, _142292), 448 ^ _128253 : [(449 ^ _128253) ^ [] : [-(aElementOf0(_142638, _142292))], (451 ^ _128253) ^ [_142859] : [aElementOf0(_142859, _142452), -(sdtlseqdt0(_142859, _142638))]]], (457 ^ _128253) ^ [_143046] : [-(aUpperBoundOfIn0(_143046, _142452, _142292)), aElementOf0(_143046, _142292), 463 ^ _128253 : [(464 ^ _128253) ^ [] : [-(aElementOf0(462 ^ [_142292, _142452, _143046], _142452))], (466 ^ _128253) ^ [] : [sdtlseqdt0(462 ^ [_142292, _142452, _143046], _143046)]]]]]]], (470 ^ _128253) ^ [_143514] : [aSet0(_143514), 473 ^ _128253 : [(474 ^ _128253) ^ [_143682] : [aSubsetOf0(_143682, _143514), 477 ^ _128253 : [(478 ^ _128253) ^ [_143876] : [aInfimumOfIn0(_143876, _143682, _143514), 481 ^ _128253 : [(482 ^ _128253) ^ [] : [-(aElementOf0(_143876, _143514))], (484 ^ _128253) ^ [] : [-(aLowerBoundOfIn0(_143876, _143682, _143514))], (486 ^ _128253) ^ [_144174] : [aLowerBoundOfIn0(_144174, _143682, _143514), -(sdtlseqdt0(_144174, _143876))]]], (492 ^ _128253) ^ [_144365] : [-(aInfimumOfIn0(_144365, _143682, _143514)), aElementOf0(_144365, _143514), aLowerBoundOfIn0(_144365, _143682, _143514), 502 ^ _128253 : [(503 ^ _128253) ^ [] : [-(aLowerBoundOfIn0(501 ^ [_143514, _143682, _144365], _143682, _143514))], (505 ^ _128253) ^ [] : [sdtlseqdt0(501 ^ [_143514, _143682, _144365], _144365)]]]]]]], (509 ^ _128253) ^ [_144931] : [aSet0(_144931), 512 ^ _128253 : [(513 ^ _128253) ^ [_145099] : [aSubsetOf0(_145099, _144931), 516 ^ _128253 : [(517 ^ _128253) ^ [_145293] : [aSupremumOfIn0(_145293, _145099, _144931), 520 ^ _128253 : [(521 ^ _128253) ^ [] : [-(aElementOf0(_145293, _144931))], (523 ^ _128253) ^ [] : [-(aUpperBoundOfIn0(_145293, _145099, _144931))], (525 ^ _128253) ^ [_145591] : [aUpperBoundOfIn0(_145591, _145099, _144931), -(sdtlseqdt0(_145293, _145591))]]], (531 ^ _128253) ^ [_145782] : [-(aSupremumOfIn0(_145782, _145099, _144931)), aElementOf0(_145782, _144931), aUpperBoundOfIn0(_145782, _145099, _144931), 541 ^ _128253 : [(542 ^ _128253) ^ [] : [-(aUpperBoundOfIn0(540 ^ [_144931, _145099, _145782], _145099, _144931))], (544 ^ _128253) ^ [] : [sdtlseqdt0(_145782, 540 ^ [_144931, _145099, _145782])]]]]]]], (548 ^ _128253) ^ [_146348] : [aSet0(_146348), 551 ^ _128253 : [(552 ^ _128253) ^ [_146503] : [aSubsetOf0(_146503, _146348), 555 ^ _128253 : [(556 ^ _128253) ^ [_146669, _146671] : [-(_146671 = _146669), aSupremumOfIn0(_146671, _146503, _146348), aSupremumOfIn0(_146669, _146503, _146348)]]]]], (566 ^ _128253) ^ [_146992] : [aSet0(_146992), 569 ^ _128253 : [(570 ^ _128253) ^ [_147147] : [aSubsetOf0(_147147, _146992), 573 ^ _128253 : [(574 ^ _128253) ^ [_147313, _147315] : [-(_147315 = _147313), aInfimumOfIn0(_147315, _147147, _146992), aInfimumOfIn0(_147313, _147147, _146992)]]]]], (584 ^ _128253) ^ [_147665] : [aCompleteLattice0(_147665), 587 ^ _128253 : [(588 ^ _128253) ^ [] : [-(aSet0(_147665))], (590 ^ _128253) ^ [_147882] : [aSubsetOf0(_147882, _147665), 594 ^ _128253 : [(595 ^ _128253) ^ [] : [-(aInfimumOfIn0(593 ^ [_147665, _147882], _147882, _147665))], (598 ^ _128253) ^ [] : [-(aSupremumOfIn0(596 ^ [_147665, _147882], _147882, _147665))]]]]], (600 ^ _128253) ^ [_148260] : [-(aCompleteLattice0(_148260)), aSet0(_148260), 606 ^ _128253 : [(607 ^ _128253) ^ [] : [-(aSubsetOf0(605 ^ [_148260], _148260))], (609 ^ _128253) ^ [_148580] : [aInfimumOfIn0(_148580, 605 ^ [_148260], _148260), 612 ^ _128253 : [(613 ^ _128253) ^ [_148715] : [aSupremumOfIn0(_148715, 605 ^ [_148260], _148260)]]]]], (617 ^ _128253) ^ [_148879] : [aFunction0(_148879), true___, -(true___)], (627 ^ _128253) ^ [_149134] : [aFunction0(_149134), -(aSet0(szDzozmdt0(_149134)))], (633 ^ _128253) ^ [_149324] : [aFunction0(_149324), -(aSet0(szRzazndt0(_149324)))], (639 ^ _128253) ^ [_149528, _149530] : [aFunction0(_149530), aSet0(_149528), 646 ^ _128253 : [(647 ^ _128253) ^ [] : [isOn0(_149530, _149528), 650 ^ _128253 : [(651 ^ _128253) ^ [] : [-(szDzozmdt0(_149530) = szRzazndt0(_149530))], (653 ^ _128253) ^ [] : [-(szRzazndt0(_149530) = _149528)]]], (655 ^ _128253) ^ [] : [-(isOn0(_149530, _149528)), szDzozmdt0(_149530) = szRzazndt0(_149530), szRzazndt0(_149530) = _149528]]], (665 ^ _128253) ^ [_150237] : [aFunction0(_150237), 668 ^ _128253 : [(669 ^ _128253) ^ [_150375] : [aElementOf0(_150375, szDzozmdt0(_150237)), -(aElementOf0(sdtlpdtrp0(_150237, _150375), szRzazndt0(_150237)))]]], (675 ^ _128253) ^ [_150592] : [aFunction0(_150592), 678 ^ _128253 : [(679 ^ _128253) ^ [_150763] : [aFixedPointOf0(_150763, _150592), 682 ^ _128253 : [(683 ^ _128253) ^ [] : [-(aElementOf0(_150763, szDzozmdt0(_150592)))], (685 ^ _128253) ^ [] : [-(sdtlpdtrp0(_150592, _150763) = _150763)]]], (687 ^ _128253) ^ [_151012] : [-(aFixedPointOf0(_151012, _150592)), aElementOf0(_151012, szDzozmdt0(_150592)), sdtlpdtrp0(_150592, _151012) = _151012]]], (697 ^ _128253) ^ [_151316] : [aFunction0(_151316), 700 ^ _128253 : [(719 ^ _128253) ^ [] : [722 ^ _128253 : [(723 ^ _128253) ^ [] : [-(aElementOf0(720 ^ [_151316], szDzozmdt0(_151316)))], (725 ^ _128253) ^ [] : [-(aElementOf0(721 ^ [_151316], szDzozmdt0(_151316)))], (727 ^ _128253) ^ [] : [-(sdtlseqdt0(720 ^ [_151316], 721 ^ [_151316]))], (729 ^ _128253) ^ [] : [sdtlseqdt0(sdtlpdtrp0(_151316, 720 ^ [_151316]), sdtlpdtrp0(_151316, 721 ^ [_151316]))]], -(isMonotone0(_151316))], (701 ^ _128253) ^ [] : [isMonotone0(_151316), 704 ^ _128253 : [(705 ^ _128253) ^ [_151596, _151598] : [aElementOf0(_151598, szDzozmdt0(_151316)), aElementOf0(_151596, szDzozmdt0(_151316)), sdtlseqdt0(_151598, _151596), -(sdtlseqdt0(sdtlpdtrp0(_151316, _151598), sdtlpdtrp0(_151316, _151596)))]]]]], (733 ^ _128253) ^ [] : [-(aSet0(xU))], (808 ^ _128253) ^ [] : [-(aCompleteLattice0(xU))], (810 ^ _128253) ^ [] : [-(aFunction0(xf))], (826 ^ _128253) ^ [] : [-(isMonotone0(xf))], (828 ^ _128253) ^ [] : [-(szDzozmdt0(xf) = szRzazndt0(xf))], (830 ^ _128253) ^ [] : [-(szRzazndt0(xf) = xU)], (832 ^ _128253) ^ [] : [-(isOn0(xf, xU))], (812 ^ _128253) ^ [_155680, _155682] : [aElementOf0(_155682, szDzozmdt0(xf)), aElementOf0(_155680, szDzozmdt0(xf)), sdtlseqdt0(_155682, _155680), -(sdtlseqdt0(sdtlpdtrp0(xf, _155682), sdtlpdtrp0(xf, _155680)))], (735 ^ _128253) ^ [_152614] : [736 ^ _128253 : [(746 ^ _128253) ^ [] : [aSubsetOf0(_152614, xU)], (737 ^ _128253) ^ [] : [aSet0(_152614), 741 ^ _128253 : [(742 ^ _128253) ^ [] : [-(aElementOf0(740 ^ [_152614], _152614))], (744 ^ _128253) ^ [] : [aElementOf0(740 ^ [_152614], xU)]]]], 748 ^ _128253 : [(749 ^ _128253) ^ [] : [-(aElementOf0(747 ^ [_152614], xU))], (751 ^ _128253) ^ [] : [-(aElementOf0(747 ^ [_152614], xU))], (753 ^ _128253) ^ [_153563] : [aElementOf0(_153563, _152614), -(sdtlseqdt0(747 ^ [_152614], _153563))], (759 ^ _128253) ^ [] : [-(aLowerBoundOfIn0(747 ^ [_152614], _152614, xU))], (761 ^ _128253) ^ [_153841] : [-(sdtlseqdt0(_153841, 747 ^ [_152614])), 762 ^ _128253 : [(772 ^ _128253) ^ [] : [aLowerBoundOfIn0(_153841, _152614, xU)], (763 ^ _128253) ^ [] : [aElementOf0(_153841, xU), 767 ^ _128253 : [(768 ^ _128253) ^ [] : [-(aElementOf0(766 ^ [_152614, _153841], _152614))], (770 ^ _128253) ^ [] : [sdtlseqdt0(_153841, 766 ^ [_152614, _153841])]]]]], (776 ^ _128253) ^ [] : [-(aInfimumOfIn0(747 ^ [_152614], _152614, xU))], (779 ^ _128253) ^ [] : [-(aElementOf0(777 ^ [_152614], xU))], (781 ^ _128253) ^ [] : [-(aElementOf0(777 ^ [_152614], xU))], (783 ^ _128253) ^ [_154686] : [aElementOf0(_154686, _152614), -(sdtlseqdt0(_154686, 777 ^ [_152614]))], (789 ^ _128253) ^ [] : [-(aUpperBoundOfIn0(777 ^ [_152614], _152614, xU))], (806 ^ _128253) ^ [] : [-(aSupremumOfIn0(777 ^ [_152614], _152614, xU))], (791 ^ _128253) ^ [_154964] : [-(sdtlseqdt0(777 ^ [_152614], _154964)), 792 ^ _128253 : [(802 ^ _128253) ^ [] : [aUpperBoundOfIn0(_154964, _152614, xU)], (793 ^ _128253) ^ [] : [aElementOf0(_154964, xU), 797 ^ _128253 : [(798 ^ _128253) ^ [] : [-(aElementOf0(796 ^ [_152614, _154964], _152614))], (800 ^ _128253) ^ [] : [sdtlseqdt0(796 ^ [_152614, _154964], _154964)]]]]]]], (834 ^ _128253) ^ [] : [-(aSet0(xS))], (858 ^ _128253) ^ [] : [-(xS = cS1142(xf))], (836 ^ _128253) ^ [_156387] : [aElementOf0(_156387, xS), 839 ^ _128253 : [(840 ^ _128253) ^ [] : [-(aElementOf0(_156387, szDzozmdt0(xf)))], (842 ^ _128253) ^ [] : [-(sdtlpdtrp0(xf, _156387) = _156387)], (844 ^ _128253) ^ [] : [-(aFixedPointOf0(_156387, xf))]]], (846 ^ _128253) ^ [_156694] : [-(aElementOf0(_156694, xS)), 847 ^ _128253 : [(854 ^ _128253) ^ [] : [aFixedPointOf0(_156694, xf)], (848 ^ _128253) ^ [] : [aElementOf0(_156694, szDzozmdt0(xf)), sdtlpdtrp0(xf, _156694) = _156694]]], (860 ^ _128253) ^ [] : [-(aSet0(xT))], (868 ^ _128253) ^ [] : [-(aSubsetOf0(xT, xS))], (862 ^ _128253) ^ [_157159] : [aElementOf0(_157159, xT), -(aElementOf0(_157159, xS))], (870 ^ _128253) ^ [] : [-(aSet0(xP))], (907 ^ _128253) ^ [] : [-(xP = cS1241(xU, xf, xT))], (872 ^ _128253) ^ [_157479] : [aElementOf0(_157479, xP), 875 ^ _128253 : [(876 ^ _128253) ^ [] : [-(aElementOf0(_157479, xU))], (878 ^ _128253) ^ [] : [-(sdtlseqdt0(sdtlpdtrp0(xf, _157479), _157479))], (886 ^ _128253) ^ [] : [-(aUpperBoundOfIn0(_157479, xT, xU))], (880 ^ _128253) ^ [_157785] : [aElementOf0(_157785, xT), -(sdtlseqdt0(_157785, _157479))]]], (888 ^ _128253) ^ [_158005] : [-(aElementOf0(_158005, xP)), aElementOf0(_158005, xU), sdtlseqdt0(sdtlpdtrp0(xf, _158005), _158005), 898 ^ _128253 : [(899 ^ _128253) ^ [] : [-(aElementOf0(897 ^ [_158005], xT))], (901 ^ _128253) ^ [] : [sdtlseqdt0(897 ^ [_158005], _158005)], (903 ^ _128253) ^ [] : [aUpperBoundOfIn0(_158005, xT, xU)]]], (909 ^ _128253) ^ [] : [-(aElementOf0(xp, xU))], (911 ^ _128253) ^ [] : [-(aElementOf0(xp, xU))], (913 ^ _128253) ^ [_158746] : [aElementOf0(_158746, xP), -(sdtlseqdt0(xp, _158746))], (919 ^ _128253) ^ [] : [-(aLowerBoundOfIn0(xp, xP, xU))], (936 ^ _128253) ^ [] : [-(aInfimumOfIn0(xp, xP, xU))], (921 ^ _128253) ^ [_158989] : [-(sdtlseqdt0(_158989, xp)), 922 ^ _128253 : [(932 ^ _128253) ^ [] : [aLowerBoundOfIn0(_158989, xP, xU)], (923 ^ _128253) ^ [] : [aElementOf0(_158989, xU), 927 ^ _128253 : [(928 ^ _128253) ^ [] : [-(aElementOf0(926 ^ [_158989], xP))], (930 ^ _128253) ^ [] : [sdtlseqdt0(_158989, 926 ^ [_158989])]]]]], (938 ^ _128253) ^ [_159536] : [aElementOf0(_159536, xP), -(sdtlseqdt0(sdtlpdtrp0(xf, xp), _159536))], (944 ^ _128253) ^ [] : [-(aLowerBoundOfIn0(sdtlpdtrp0(xf, xp), xP, xU))], (952 ^ _128253) ^ [] : [-(aUpperBoundOfIn0(sdtlpdtrp0(xf, xp), xT, xU))], (946 ^ _128253) ^ [_159779] : [aElementOf0(_159779, xT), -(sdtlseqdt0(_159779, sdtlpdtrp0(xf, xp)))], (954 ^ _128253) ^ [] : [-(aElementOf0(xp, szDzozmdt0(xf)))], (956 ^ _128253) ^ [] : [-(sdtlpdtrp0(xf, xp) = xp)], (958 ^ _128253) ^ [] : [-(aFixedPointOf0(xp, xf))], (960 ^ _128253) ^ [_160167] : [aElementOf0(_160167, xT), -(sdtlseqdt0(_160167, xp))], (966 ^ _128253) ^ [] : [-(aUpperBoundOfIn0(xp, xT, xS))], (983 ^ _128253) ^ [] : [-(aSupremumOfIn0(xp, xT, xS))], (968 ^ _128253) ^ [_160410] : [-(sdtlseqdt0(xp, _160410)), 969 ^ _128253 : [(979 ^ _128253) ^ [] : [aUpperBoundOfIn0(_160410, xT, xS)], (970 ^ _128253) ^ [] : [aElementOf0(_160410, xS), 974 ^ _128253 : [(975 ^ _128253) ^ [] : [-(aElementOf0(973 ^ [_160410], xT))], (977 ^ _128253) ^ [] : [sdtlseqdt0(973 ^ [_160410], _160410)]]]]]], input).
% 0.33/1.39 ncf('1',plain,[aSupremumOfIn0(xp, xT, xS)],start(1015 ^ 0,bind([[_162194], [xp]]))).
% 0.33/1.39 ncf('1.1',plain,[-(aSupremumOfIn0(xp, xT, xS))],extension(983 ^ 1)).
% 0.33/1.39 %-----------------------------------------------------
% 0.33/1.39 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------