%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV067+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n018.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 12:19:52 EDT 2023

% Result   : Theorem 43.77s 42.75s
% Output   : Proof 43.77s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV067+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n018.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 02:25:58 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 43.77/42.75  
% 43.77/42.75  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 43.77/42.75  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 43.77/42.75  %-----------------------------------------------------
% 43.77/42.75  ncf(matrix, plain, [(1055 ^ _257128) ^ [] : [-(leq(n0, pv10))], (1059 ^ _257128) ^ [] : [-(leq(pv10, minus(n135300, n1)))], (1063 ^ _257128) ^ [] : [leq(n0, pv10), leq(n0, pv63), leq(pv10, minus(n135300, n1)), leq(pv63, minus(n5, n1)), 1080 ^ _257128 : [(1083 ^ _257128) ^ [] : [leq(n0, pv10), leq(pv10, minus(n135300, n1))], (1081 ^ _257128) ^ [] : [gt(a_select3(q, pv10, pv63), pv78)]], 1088 ^ _257128 : [(1091 ^ _257128) ^ [] : [leq(n0, pv10), leq(pv10, minus(n135300, n1))], (1089 ^ _257128) ^ [] : [-(gt(a_select3(q, pv10, pv63), pv78))]]], (1061 ^ _257128) ^ [] : [-(leq(pv63, minus(n5, n1)))], (1057 ^ _257128) ^ [] : [-(leq(n1, pv63))], !, (873 ^ _216931) ^ [] : [-(gt(n135300, n5))], (606 ^ _216931) ^ [_239811, _239813, _239815] : [609 ^ _216931 : [(610 ^ _216931) ^ [] : [-(leq(n0, 607 ^ [_239811, _239813, _239815]))], (614 ^ _216931) ^ [] : [-(leq(n0, 608 ^ [_239811, _239813, _239815]))], (618 ^ _216931) ^ [] : [a_select3(_239813, 607 ^ [_239811, _239813, _239815], 608 ^ [_239811, _239813, _239815]) = a_select3(_239813, 608 ^ [_239811, _239813, _239815], 607 ^ [_239811, _239813, _239815])], (616 ^ _216931) ^ [] : [-(leq(608 ^ [_239811, _239813, _239815], _239811))], (612 ^ _216931) ^ [] : [-(leq(607 ^ [_239811, _239813, _239815], _239811))]], 619 ^ _216931 : [(620 ^ _216931) ^ [_240624, _240626] : [-(a_select3(tptp_mmul(_239815, tptp_mmul(_239813, trans(_239815))), _240626, _240624) = a_select3(tptp_mmul(_239815, tptp_mmul(_239813, trans(_239815))), _240624, _240626)), leq(n0, _240626), leq(_240626, _239811), leq(n0, _240624), leq(_240624, _239811)]]], (875 ^ _216931) ^ [] : [-(gt(n4, tptp_minus_1))], (1051 ^ _216931) ^ [] : [-(succ(succ(n0)) = n2)], (742 ^ _216931) ^ [_246944] : [-(plus(n2, _246944) = succ(succ(_246944)))], (254 ^ _216931) ^ [_225952, _225954, _225956, _225958] : [-(minus(_225958, _225954) = minus(_225956, _225952)), _225958 = _225956, _225954 = _225952], (382 ^ _216931) ^ [_230379, _230381, _230383, _230385] : [-(a_select2(tptp_const_array1(dim(_230383, _230381), _230379), _230385) = _230379), leq(_230383, _230385), leq(_230385, _230381)], (909 ^ _216931) ^ [] : [-(gt(n3, n1))], (903 ^ _216931) ^ [] : [-(gt(n5, n1))], (364 ^ _216931) ^ [_229703, _229705] : [gt(succ(_229703), _229705), -(leq(_229705, _229703))], (146 ^ _216931) ^ [_222004, _222006, _222008, _222010] : [-(tptp_mmul(_222010, _222006) = tptp_mmul(_222008, _222004)), _222010 = _222008, _222006 = _222004], (740 ^ _216931) ^ [_246859] : [-(plus(_246859, n2) = succ(succ(_246859)))], (1045 ^ _216931) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (846 ^ _216931) ^ [_251318, _251320, _251322, _251324] : [-(a_select2(tptp_update2(_251320, _251322, _251318), _251324) = _251318), 850 ^ _216931 : [(855 ^ _216931) ^ [] : [a_select2(_251320, 849 ^ [_251318, _251320, _251322, _251324]) = _251318], (853 ^ _216931) ^ [] : [-(leq(849 ^ [_251318, _251320, _251322, _251324], _251322))], (851 ^ _216931) ^ [] : [-(leq(n0, 849 ^ [_251318, _251320, _251322, _251324]))]], leq(n0, _251324), leq(_251324, _251322)], (736 ^ _216931) ^ [_246693] : [-(plus(_246693, n1) = succ(_246693))], (286 ^ _216931) ^ [_227055] : [-(leq(_227055, _227055))], (96 ^ _216931) ^ [_220221, _220223, _220225, _220227, _220229, _220231] : [-(tptp_const_array2(_220231, _220227, _220223) = tptp_const_array2(_220229, _220225, _220221)), _220231 = _220229, _220227 = _220225, _220223 = _220221], (913 ^ _216931) ^ [] : [-(gt(n5, n2))], (638 ^ _216931) ^ [_241243, _241245, _241247, _241249] : [641 ^ _216931 : [(642 ^ _216931) ^ [] : [-(leq(n0, 639 ^ [_241243, _241245, _241247, _241249]))], (646 ^ _216931) ^ [] : [-(leq(n0, 640 ^ [_241243, _241245, _241247, _241249]))], (650 ^ _216931) ^ [] : [a_select3(_241247, 639 ^ [_241243, _241245, _241247, _241249], 640 ^ [_241243, _241245, _241247, _241249]) = a_select3(_241247, 640 ^ [_241243, _241245, _241247, _241249], 639 ^ [_241243, _241245, _241247, _241249])], (648 ^ _216931) ^ [] : [-(leq(640 ^ [_241243, _241245, _241247, _241249], _241243))], (644 ^ _216931) ^ [] : [-(leq(639 ^ [_241243, _241245, _241247, _241249], _241243))]], 651 ^ _216931 : [(652 ^ _216931) ^ [_242100, _242102] : [-(a_select3(tptp_mmul(_241249, tptp_mmul(_241247, trans(_241249))), _242102, _242100) = a_select3(tptp_mmul(_241249, tptp_mmul(_241247, trans(_241249))), _242100, _242102)), leq(n0, _242102), leq(_242102, _241245), leq(n0, _242100), leq(_242100, _241245)]]], (802 ^ _216931) ^ [_249436, _249438, _249440, _249442, _249444, _249446] : [-(a_select3(tptp_update3(_249438, _249442, _249440, _249436), _249446, _249444) = _249436), 807 ^ _216931 : [(808 ^ _216931) ^ [] : [-(leq(n0, 805 ^ [_249436, _249438, _249440, _249442, _249444, _249446]))], (812 ^ _216931) ^ [] : [-(leq(805 ^ [_249436, _249438, _249440, _249442, _249444, _249446], _249442))], (816 ^ _216931) ^ [] : [a_select3(_249438, 805 ^ [_249436, _249438, _249440, _249442, _249444, _249446], 806 ^ [_249436, _249438, _249440, _249442, _249444, _249446]) = _249436], (814 ^ _216931) ^ [] : [-(leq(806 ^ [_249436, _249438, _249440, _249442, _249444, _249446], _249440))], (810 ^ _216931) ^ [] : [-(leq(n0, 806 ^ [_249436, _249438, _249440, _249442, _249444, _249446]))]], leq(n0, _249446), leq(_249446, _249442), leq(n0, _249444), leq(_249444, _249440)], (732 ^ _216931) ^ [_246558] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _246558))], (1047 ^ _216931) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (883 ^ _216931) ^ [] : [-(gt(n1, tptp_minus_1))], (370 ^ _216931) ^ [_229919, _229921] : [leq(n0, _229921), -(leq(uniform_int_rnd(_229919, _229921), _229921))], (670 ^ _216931) ^ [_242795, _242797, _242799, _242801, _242803, _242805, _242807, _242809] : [675 ^ _216931 : [(676 ^ _216931) ^ [] : [-(leq(n0, 673 ^ [_242795, _242797, _242799, _242801, _242803, _242805, _242807, _242809]))], (680 ^ _216931) ^ [] : [-(leq(n0, 674 ^ [_242795, _242797, _242799, _242801, _242803, _242805, _242807, _242809]))], (684 ^ _216931) ^ [] : [a_select3(_242803, 673 ^ [_242795, _242797, _242799, _242801, _242803, _242805, _242807, _242809], 674 ^ [_242795, _242797, _242799, _242801, _242803, _242805, _242807, _242809]) = a_select3(_242803, 674 ^ [_242795, _242797, _242799, _242801, _242803, _242805, _242807, _242809], 673 ^ [_242795, _242797, _242799, _242801, _242803, _242805, _242807, _242809])], (682 ^ _216931) ^ [] : [-(leq(674 ^ [_242795, _242797, _242799, _242801, _242803, _242805, _242807, _242809], _242795))], (678 ^ _216931) ^ [] : [-(leq(673 ^ [_242795, _242797, _242799, _242801, _242803, _242805, _242807, _242809], _242795))]], 689 ^ _216931 : [(690 ^ _216931) ^ [] : [-(leq(n0, 687 ^ [_242795, _242797, _242799, _242801, _242803, _242805, _242807, _242809]))], (694 ^ _216931) ^ [] : [-(leq(n0, 688 ^ [_242795, _242797, _242799, _242801, _242803, _242805, _242807, _242809]))], (698 ^ _216931) ^ [] : [a_select3(_242809, 687 ^ [_242795, _242797, _242799, _242801, _242803, _242805, _242807, _242809], 688 ^ [_242795, _242797, _242799, _242801, _242803, _242805, _242807, _242809]) = a_select3(_242809, 688 ^ [_242795, _242797, _242799, _242801, _242803, _242805, _242807, _242809], 687 ^ [_242795, _242797, _242799, _242801, _242803, _242805, _242807, _242809])], (696 ^ _216931) ^ [] : [-(leq(688 ^ [_242795, _242797, _242799, _242801, _242803, _242805, _242807, _242809], _242797))], (692 ^ _216931) ^ [] : [-(leq(687 ^ [_242795, _242797, _242799, _242801, _242803, _242805, _242807, _242809], _242797))]], 701 ^ _216931 : [(702 ^ _216931) ^ [] : [-(leq(n0, 699 ^ [_242795, _242797, _242799, _242801, _242803, _242805, _242807, _242809]))], (706 ^ _216931) ^ [] : [-(leq(n0, 700 ^ [_242795, _242797, _242799, _242801, _242803, _242805, _242807, _242809]))], (710 ^ _216931) ^ [] : [a_select3(_242799, 699 ^ [_242795, _242797, _242799, _242801, _242803, _242805, _242807, _242809], 700 ^ [_242795, _242797, _242799, _242801, _242803, _242805, _242807, _242809]) = a_select3(_242799, 700 ^ [_242795, _242797, _242799, _242801, _242803, _242805, _242807, _242809], 699 ^ [_242795, _242797, _242799, _242801, _242803, _242805, _242807, _242809])], (708 ^ _216931) ^ [] : [-(leq(700 ^ [_242795, _242797, _242799, _242801, _242803, _242805, _242807, _242809], _242797))], (704 ^ _216931) ^ [] : [-(leq(699 ^ [_242795, _242797, _242799, _242801, _242803, _242805, _242807, _242809], _242797))]], 711 ^ _216931 : [(712 ^ _216931) ^ [_245723, _245725] : [-(a_select3(tptp_madd(_242809, tptp_mmul(_242807, tptp_mmul(tptp_madd(tptp_mmul(_242805, tptp_mmul(_242803, trans(_242805))), tptp_mmul(_242801, tptp_mmul(_242799, trans(_242801)))), trans(_242807)))), _245725, _245723) = a_select3(tptp_madd(_242809, tptp_mmul(_242807, tptp_mmul(tptp_madd(tptp_mmul(_242805, tptp_mmul(_242803, trans(_242805))), tptp_mmul(_242801, tptp_mmul(_242799, trans(_242801)))), trans(_242807)))), _245723, _245725)), leq(n0, _245725), leq(_245725, _242797), leq(n0, _245723), leq(_245723, _242797)]]], (885 ^ _216931) ^ [] : [-(gt(n2, tptp_minus_1))], (210 ^ _216931) ^ [_224363, _224365, _224367, _224369] : [-(a_select2(_224369, _224365) = a_select2(_224367, _224363)), _224369 = _224367, _224365 = _224363], (350 ^ _216931) ^ [_229185] : [-(gt(succ(_229185), _229185))], (780 ^ _216931) ^ [_248472, _248474] : [leq(minus(_248474, _248472), _248474), -(leq(n0, _248472))], (760 ^ _216931) ^ [_247728] : [-(succ(pred(_247728)) = _247728)], (786 ^ _216931) ^ [_248701, _248703, _248705, _248707] : [-(a_select3(tptp_update3(_248707, _248705, _248703, _248701), _248705, _248703) = _248701)], (891 ^ _216931) ^ [] : [-(gt(n5, n0))], (877 ^ _216931) ^ [] : [-(gt(n5, tptp_minus_1))], (322 ^ _216931) ^ [_228291, _228293] : [gt(_228291, _228293), -(leq(_228293, _228291))], (560 ^ _216931) ^ [_237716, _237718, _237720] : [565 ^ _216931 : [(566 ^ _216931) ^ [] : [-(leq(n0, 563 ^ [_237716, _237718, _237720]))], (570 ^ _216931) ^ [] : [-(leq(n0, 564 ^ [_237716, _237718, _237720]))], (574 ^ _216931) ^ [] : [a_select3(_237720, 563 ^ [_237716, _237718, _237720], 564 ^ [_237716, _237718, _237720]) = a_select3(_237720, 564 ^ [_237716, _237718, _237720], 563 ^ [_237716, _237718, _237720])], (572 ^ _216931) ^ [] : [-(leq(564 ^ [_237716, _237718, _237720], _237716))], (568 ^ _216931) ^ [] : [-(leq(563 ^ [_237716, _237718, _237720], _237716))]], 577 ^ _216931 : [(578 ^ _216931) ^ [] : [-(leq(n0, 575 ^ [_237716, _237718, _237720]))], (582 ^ _216931) ^ [] : [-(leq(n0, 576 ^ [_237716, _237718, _237720]))], (586 ^ _216931) ^ [] : [a_select3(_237718, 575 ^ [_237716, _237718, _237720], 576 ^ [_237716, _237718, _237720]) = a_select3(_237718, 576 ^ [_237716, _237718, _237720], 575 ^ [_237716, _237718, _237720])], (584 ^ _216931) ^ [] : [-(leq(576 ^ [_237716, _237718, _237720], _237716))], (580 ^ _216931) ^ [] : [-(leq(575 ^ [_237716, _237718, _237720], _237716))]], 587 ^ _216931 : [(588 ^ _216931) ^ [_239225, _239227] : [-(a_select3(tptp_msub(_237720, _237718), _239227, _239225) = a_select3(tptp_msub(_237720, _237718), _239225, _239227)), leq(n0, _239227), leq(_239227, _237716), leq(n0, _239225), leq(_239225, _237716)]]], (734 ^ _216931) ^ [] : [-(succ(tptp_minus_1) = n0)], (754 ^ _216931) ^ [_247472] : [-(plus(n5, _247472) = succ(succ(succ(succ(succ(_247472))))))], (220 ^ _216931) ^ [_224750, _224752, _224754, _224756, _224758, _224760] : [-(tptp_update2(_224760, _224756, _224752) = tptp_update2(_224758, _224754, _224750)), _224760 = _224758, _224756 = _224754, _224752 = _224750], (442 ^ _216931) ^ [_232685, _232687] : [445 ^ _216931 : [(446 ^ _216931) ^ [] : [-(leq(n0, 443 ^ [_232685, _232687]))], (450 ^ _216931) ^ [] : [-(leq(n0, 444 ^ [_232685, _232687]))], (454 ^ _216931) ^ [] : [a_select3(_232687, 443 ^ [_232685, _232687], 444 ^ [_232685, _232687]) = a_select3(_232687, 444 ^ [_232685, _232687], 443 ^ [_232685, _232687])], (452 ^ _216931) ^ [] : [-(leq(444 ^ [_232685, _232687], _232685))], (448 ^ _216931) ^ [] : [-(leq(443 ^ [_232685, _232687], _232685))]], 455 ^ _216931 : [(456 ^ _216931) ^ [_233442, _233444] : [-(a_select3(inv(_232687), _233444, _233442) = a_select3(inv(_232687), _233442, _233444)), leq(n0, _233444), leq(_233444, _232685), leq(n0, _233442), leq(_233442, _232685)]]], (919 ^ _216931) ^ [] : [-(gt(n4, n3))], (392 ^ _216931) ^ [_230786, _230788, _230790, _230792, _230794, _230796, _230798] : [-(a_select3(tptp_const_array2(dim(_230796, _230794), dim(_230790, _230788), _230786), _230798, _230792) = _230786), leq(_230796, _230798), leq(_230798, _230794), leq(_230790, _230792), leq(_230792, _230788)], (1023 ^ _216931) ^ [_256207] : [leq(n0, _256207), leq(_256207, n3), -(_256207 = n0), -(_256207 = n1), -(_256207 = n2), -(_256207 = n3)], (981 ^ _216931) ^ [_255120] : [-(_255120 = n0), leq(n0, _255120), leq(_255120, n0)], (951 ^ _216931) ^ [_254413] : [leq(n0, _254413), leq(_254413, n5), -(_254413 = n0), -(_254413 = n1), -(_254413 = n2), -(_254413 = n3), -(_254413 = n4), -(_254413 = n5)], (907 ^ _216931) ^ [] : [-(gt(n2, n1))], (893 ^ _216931) ^ [] : [-(gt(n135300, n0))], (86 ^ _216931) ^ [_219834, _219836, _219838, _219840] : [-(tptp_const_array1(_219840, _219836) = tptp_const_array1(_219838, _219834)), _219840 = _219838, _219836 = _219834], (836 ^ _216931) ^ [_250938, _250940, _250942, _250944, _250946] : [-(a_select2(tptp_update2(_250942, _250946, _250938), _250944) = _250940), -(_250946 = _250944), a_select2(_250942, _250944) = _250940], (410 ^ _216931) ^ [_231381, _231383] : [413 ^ _216931 : [(414 ^ _216931) ^ [] : [-(leq(n0, 411 ^ [_231381, _231383]))], (418 ^ _216931) ^ [] : [-(leq(n0, 412 ^ [_231381, _231383]))], (422 ^ _216931) ^ [] : [a_select3(_231383, 411 ^ [_231381, _231383], 412 ^ [_231381, _231383]) = a_select3(_231383, 412 ^ [_231381, _231383], 411 ^ [_231381, _231383])], (420 ^ _216931) ^ [] : [-(leq(412 ^ [_231381, _231383], _231381))], (416 ^ _216931) ^ [] : [-(leq(411 ^ [_231381, _231383], _231381))]], 423 ^ _216931 : [(424 ^ _216931) ^ [_232138, _232140] : [-(a_select3(trans(_231383), _232140, _232138) = a_select3(trans(_231383), _232138, _232140)), leq(n0, _232140), leq(_232140, _231381), leq(n0, _232138), leq(_232138, _231381)]]], (234 ^ _216931) ^ [_225210, _225212] : [_225212 = _225210, -(succ(_225212) = succ(_225210))], (758 ^ _216931) ^ [_247646] : [-(pred(succ(_247646)) = _247646)], (869 ^ _216931) ^ [] : [-(gt(n5, n4))], (911 ^ _216931) ^ [] : [-(gt(n4, n2))], (344 ^ _216931) ^ [_228998, _229000] : [gt(_228998, _229000), -(leq(_229000, pred(_228998)))], (284 ^ _216931) ^ [_226977] : [gt(_226977, _226977)], (328 ^ _216931) ^ [_228501, _228503] : [-(gt(_228501, _228503)), leq(_228503, _228501), -(_228503 = _228501)], (744 ^ _216931) ^ [_247029] : [-(plus(_247029, n3) = succ(succ(succ(_247029))))], (899 ^ _216931) ^ [] : [-(gt(n3, n0))], (4 ^ _216931) ^ [_217162, _217164] : [_217164 = _217162, -(_217162 = _217164)], (923 ^ _216931) ^ [] : [-(gt(n135300, n3))], (762 ^ _216931) ^ [_247868, _247870] : [leq(succ(_247870), succ(_247868)), -(leq(_247870, _247868))], (730 ^ _216931) ^ [_246476] : [-(sum(n0, tptp_minus_1, _246476) = n0)], (901 ^ _216931) ^ [] : [-(gt(n4, n1))], (304 ^ _216931) ^ [_227676, _227678] : [gt(_227676, _227678), -(lt(_227678, _227676))], (310 ^ _216931) ^ [_227917, _227919] : [geq(_227919, _227917), -(leq(_227917, _227919))], (774 ^ _216931) ^ [_248258, _248260] : [leq(succ(_248260), _248258), -(gt(_248258, _248260))], (192 ^ _216931) ^ [_223730, _223732, _223734, _223736, _223738, _223740, _223742, _223744] : [-(tptp_update3(_223744, _223740, _223736, _223732) = tptp_update3(_223742, _223738, _223734, _223730)), _223744 = _223742, _223740 = _223738, _223736 = _223734, _223732 = _223730], (338 ^ _216931) ^ [_228832, _228834] : [leq(_228834, pred(_228832)), -(gt(_228832, _228834))], (120 ^ _216931) ^ [_221040, _221042] : [_221042 = _221040, -(inv(_221042) = inv(_221040))], (879 ^ _216931) ^ [] : [-(gt(n135300, tptp_minus_1))], (20 ^ _216931) ^ [_217707, _217709, _217711, _217713] : [-(lt(_217711, _217707)), lt(_217713, _217709), _217713 = _217711, _217709 = _217707], (881 ^ _216931) ^ [] : [-(gt(n0, tptp_minus_1))], (186 ^ _216931) ^ [_223428, _223430] : [_223430 = _223428, -(pred(_223430) = pred(_223428))], (1005 ^ _216931) ^ [_255758] : [leq(n0, _255758), leq(_255758, n2), -(_255758 = n0), -(_255758 = n1), -(_255758 = n2)], (834 ^ _216931) ^ [_250778, _250780, _250782] : [-(a_select2(tptp_update2(_250782, _250780, _250778), _250780) = _250778)], (274 ^ _216931) ^ [_226698, _226700, _226702] : [-(gt(_226702, _226698)), gt(_226702, _226700), gt(_226700, _226698)], (897 ^ _216931) ^ [] : [-(gt(n2, n0))], (48 ^ _216931) ^ [_218595, _218597, _218599, _218601] : [-(gt(_218599, _218595)), gt(_218601, _218597), _218601 = _218599, _218597 = _218595], (925 ^ _216931) ^ [_253792] : [leq(n0, _253792), leq(_253792, n4), -(_253792 = n0), -(_253792 = n1), -(_253792 = n2), -(_253792 = n3), -(_253792 = n4)], (376 ^ _216931) ^ [_230135, _230137] : [leq(n0, _230137), -(leq(n0, uniform_int_rnd(_230135, _230137)))], (895 ^ _216931) ^ [] : [-(gt(n1, n0))], (76 ^ _216931) ^ [_219475, _219477, _219479, _219481] : [-(uniform_int_rnd(_219481, _219477) = uniform_int_rnd(_219479, _219475)), _219481 = _219479, _219477 = _219475], (156 ^ _216931) ^ [_222335, _222337] : [_222337 = _222335, -(trans(_222337) = trans(_222335))], (10 ^ _216931) ^ [_217366, _217368, _217370] : [-(_217370 = _217366), _217370 = _217368, _217368 = _217366], (1053 ^ _216931) ^ [] : [-(succ(succ(succ(n0))) = n3)], (264 ^ _216931) ^ [_226383, _226385] : [-(gt(_226385, _226383)), -(gt(_226383, _226385)), -(_226385 = _226383)], (871 ^ _216931) ^ [] : [-(gt(n135300, n4))], (1049 ^ _216931) ^ [] : [-(succ(n0) = n1)], (905 ^ _216931) ^ [] : [-(gt(n135300, n1))], (865 ^ _216931) ^ [] : [-(true)], (752 ^ _216931) ^ [_247381] : [-(plus(_247381, n5) = succ(succ(succ(succ(succ(_247381))))))], (240 ^ _216931) ^ [_225484, _225486, _225488, _225490, _225492, _225494] : [-(a_select3(_225494, _225490, _225486) = a_select3(_225492, _225488, _225484)), _225494 = _225492, _225490 = _225488, _225486 = _225484], (316 ^ _216931) ^ [_228079, _228081] : [leq(_228079, _228081), -(geq(_228081, _228079))], (62 ^ _216931) ^ [_219019, _219021, _219023, _219025] : [-(leq(_219023, _219019)), leq(_219025, _219021), _219025 = _219023, _219021 = _219019], (748 ^ _216931) ^ [_247203] : [-(plus(_247203, n4) = succ(succ(succ(succ(_247203)))))], (887 ^ _216931) ^ [] : [-(gt(n3, tptp_minus_1))], (176 ^ _216931) ^ [_223097, _223099, _223101, _223103] : [-(plus(_223103, _223099) = plus(_223101, _223097)), _223103 = _223101, _223099 = _223097], (2 ^ _216931) ^ [_217055] : [-(_217055 = _217055)], (991 ^ _216931) ^ [_255395] : [leq(n0, _255395), leq(_255395, n1), -(_255395 = n0), -(_255395 = n1)], (738 ^ _216931) ^ [_246776] : [-(plus(n1, _246776) = succ(_246776))], (921 ^ _216931) ^ [] : [-(gt(n5, n3))], (788 ^ _216931) ^ [_248893, _248895, _248897, _248899, _248901, _248903, _248905] : [-(a_select3(tptp_update3(_248897, _248905, _248903, _248893), _248901, _248899) = _248895), -(_248905 = _248901), _248903 = _248899, a_select3(_248897, _248901, _248899) = _248895], (750 ^ _216931) ^ [_247292] : [-(plus(n4, _247292) = succ(succ(succ(succ(_247292)))))], (889 ^ _216931) ^ [] : [-(gt(n4, n0))], (768 ^ _216931) ^ [_248038, _248040] : [leq(_248040, _248038), -(leq(succ(_248040), succ(_248038)))], (34 ^ _216931) ^ [_218151, _218153, _218155, _218157] : [-(geq(_218155, _218151)), geq(_218157, _218153), _218157 = _218155, _218153 = _218151], (352 ^ _216931) ^ [_229294, _229296] : [leq(_229296, _229294), -(leq(_229296, succ(_229294)))], (126 ^ _216931) ^ [_221286, _221288, _221290, _221292] : [-(tptp_msub(_221292, _221288) = tptp_msub(_221290, _221286)), _221292 = _221290, _221288 = _221286], (358 ^ _216931) ^ [_229537, _229539] : [leq(_229539, _229537), -(gt(succ(_229537), _229539))], (162 ^ _216931) ^ [_222609, _222611, _222613, _222615, _222617, _222619] : [-(sum(_222619, _222615, _222611) = sum(_222617, _222613, _222609)), _222619 = _222617, _222615 = _222613, _222611 = _222609], (298 ^ _216931) ^ [_227514, _227516] : [lt(_227516, _227514), -(gt(_227514, _227516))], (110 ^ _216931) ^ [_220709, _220711, _220713, _220715] : [-(dim(_220715, _220711) = dim(_220713, _220709)), _220715 = _220713, _220711 = _220709], (915 ^ _216931) ^ [] : [-(gt(n135300, n2))], (288 ^ _216931) ^ [_227176, _227178, _227180] : [-(leq(_227180, _227176)), leq(_227180, _227178), leq(_227178, _227176)], (867 ^ _216931) ^ [] : [def = use], (917 ^ _216931) ^ [] : [-(gt(n3, n2))], (514 ^ _216931) ^ [_235621, _235623, _235625] : [519 ^ _216931 : [(520 ^ _216931) ^ [] : [-(leq(n0, 517 ^ [_235621, _235623, _235625]))], (524 ^ _216931) ^ [] : [-(leq(n0, 518 ^ [_235621, _235623, _235625]))], (528 ^ _216931) ^ [] : [a_select3(_235625, 517 ^ [_235621, _235623, _235625], 518 ^ [_235621, _235623, _235625]) = a_select3(_235625, 518 ^ [_235621, _235623, _235625], 517 ^ [_235621, _235623, _235625])], (526 ^ _216931) ^ [] : [-(leq(518 ^ [_235621, _235623, _235625], _235621))], (522 ^ _216931) ^ [] : [-(leq(517 ^ [_235621, _235623, _235625], _235621))]], 531 ^ _216931 : [(532 ^ _216931) ^ [] : [-(leq(n0, 529 ^ [_235621, _235623, _235625]))], (536 ^ _216931) ^ [] : [-(leq(n0, 530 ^ [_235621, _235623, _235625]))], (540 ^ _216931) ^ [] : [a_select3(_235623, 529 ^ [_235621, _235623, _235625], 530 ^ [_235621, _235623, _235625]) = a_select3(_235623, 530 ^ [_235621, _235623, _235625], 529 ^ [_235621, _235623, _235625])], (538 ^ _216931) ^ [] : [-(leq(530 ^ [_235621, _235623, _235625], _235621))], (534 ^ _216931) ^ [] : [-(leq(529 ^ [_235621, _235623, _235625], _235621))]], 541 ^ _216931 : [(542 ^ _216931) ^ [_237130, _237132] : [-(a_select3(tptp_madd(_235625, _235623), _237132, _237130) = a_select3(tptp_madd(_235625, _235623), _237130, _237132)), leq(n0, _237132), leq(_237132, _235621), leq(n0, _237130), leq(_237130, _235621)]]], (136 ^ _216931) ^ [_221645, _221647, _221649, _221651] : [-(tptp_madd(_221651, _221647) = tptp_madd(_221649, _221645)), _221651 = _221649, _221647 = _221645], (746 ^ _216931) ^ [_247116] : [-(plus(n3, _247116) = succ(succ(succ(_247116))))], (474 ^ _216931) ^ [_233989, _233991] : [477 ^ _216931 : [(478 ^ _216931) ^ [] : [-(leq(n0, 475 ^ [_233989, _233991]))], (482 ^ _216931) ^ [] : [-(leq(n0, 476 ^ [_233989, _233991]))], (486 ^ _216931) ^ [] : [a_select3(_233991, 475 ^ [_233989, _233991], 476 ^ [_233989, _233991]) = a_select3(_233991, 476 ^ [_233989, _233991], 475 ^ [_233989, _233991])], (484 ^ _216931) ^ [] : [-(leq(476 ^ [_233989, _233991], _233989))], (480 ^ _216931) ^ [] : [-(leq(475 ^ [_233989, _233991], _233989))]], 487 ^ _216931 : [(488 ^ _216931) ^ [_234802, _234804, _234806, _234808] : [-(a_select3(tptp_update3(_233991, _234804, _234804, _234802), _234808, _234806) = a_select3(tptp_update3(_233991, _234804, _234804, _234802), _234806, _234808)), leq(n0, _234808), leq(_234808, _233989), leq(n0, _234806), leq(_234806, _233989), leq(n0, _234804), leq(_234804, _233989)]]], (756 ^ _216931) ^ [_247563] : [-(minus(_247563, n1) = pred(_247563))]], input).
% 43.77/42.75  ncf('1',plain,[-(leq(n1, pv63))],start(1057 ^ 0)).
% 43.77/42.75  ncf('1.1',plain,[leq(n1, pv63), -(leq(n0, pv63)), leq(n0, n1)],extension(288 ^ 1,bind([[_227176, _227178, _227180], [pv63, n1, n0]]))).
% 43.77/42.75  ncf('1.1.1',plain,[leq(n0, pv63), leq(n0, pv10), leq(pv10, minus(n135300, n1)), leq(pv63, minus(n5, n1)), 1083 : leq(n0, pv10), 1083 : leq(pv10, minus(n135300, n1)), 1091 : leq(n0, pv10), 1091 : leq(pv10, minus(n135300, n1))],extension(1063 ^ 2)).
% 43.77/42.75  ncf('1.1.1.1',plain,[-(leq(n0, pv10))],extension(1055 ^ 3)).
% 43.77/42.75  ncf('1.1.1.2',plain,[-(leq(pv10, minus(n135300, n1)))],extension(1059 ^ 3)).
% 43.77/42.75  ncf('1.1.1.3',plain,[-(leq(pv63, minus(n5, n1)))],extension(1061 ^ 3)).
% 43.77/42.75  ncf('1.1.1.4',plain,[-(leq(n0, pv10))],lemmata('[1, 1].x')).
% 43.77/42.75  ncf('1.1.1.5',plain,[-(leq(pv10, minus(n135300, n1)))],lemmata('[1, 1].x')).
% 43.77/42.75  ncf('1.1.1.6',plain,[-(leq(n0, pv10))],lemmata('[1, 1].x')).
% 43.77/42.75  ncf('1.1.1.7',plain,[-(leq(pv10, minus(n135300, n1)))],lemmata('[1, 1].x')).
% 43.77/42.75  ncf('1.1.2',plain,[-(leq(n0, n1)), gt(n1, n0)],extension(322 ^ 2,bind([[_228291, _228293], [n1, n0]]))).
% 43.77/42.75  ncf('1.1.2.1',plain,[-(gt(n1, n0))],extension(895 ^ 3)).
% 43.77/42.75  %-----------------------------------------------------
% 43.77/42.75  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------