TSTP Solution File: MSC010+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : MSC010+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n026.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 11:35:53 EDT 2023

% Result   : Theorem 0.34s 1.37s
% Output   : Proof 0.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : MSC010+1 : TPTP v8.1.2. Released v3.1.0.
% 0.10/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n026.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 15:33:05 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.34/1.37  
% 0.34/1.37  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.34/1.37  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.37  %-----------------------------------------------------
% 0.34/1.37  ncf(matrix, plain, [(68 ^ _193202) ^ [] : [241 ^ _193202 : [(242 ^ _193202) ^ [_200414, _200416] : [leq(n0, _200416), leq(n0, _200414), leq(_200416, n5), leq(_200414, n5), -(a_select3(id_ds1_filter_init, _200416, _200414) = init), -(pv64 = _200414), _200416 = pv63, leq(_200414, pv64)]], -(pv63 = pv64), leq(n0, pv5), leq(n0, pv63), leq(n0, pv64), leq(pv5, n998), leq(pv63, n5), leq(pv64, n5), 101 ^ _193202 : [(102 ^ _193202) ^ [] : [-(leq(n0, 99 ^ []))], (104 ^ _193202) ^ [] : [-(leq(n0, 100 ^ []))], (106 ^ _193202) ^ [] : [-(leq(99 ^ [], n2))], (108 ^ _193202) ^ [] : [-(leq(100 ^ [], n5))], (110 ^ _193202) ^ [] : [a_select3(h_ds1_filter_init, 99 ^ [], 100 ^ []) = init]], 115 ^ _193202 : [(116 ^ _193202) ^ [] : [-(leq(n0, 113 ^ []))], (118 ^ _193202) ^ [] : [-(leq(n0, 114 ^ []))], (120 ^ _193202) ^ [] : [-(leq(113 ^ [], n5))], (122 ^ _193202) ^ [] : [-(leq(114 ^ [], n5))], (124 ^ _193202) ^ [] : [a_select3(phi_ds1_filter_init, 113 ^ [], 114 ^ []) = init]], 129 ^ _193202 : [(130 ^ _193202) ^ [] : [-(leq(n0, 127 ^ []))], (132 ^ _193202) ^ [] : [-(leq(n0, 128 ^ []))], (134 ^ _193202) ^ [] : [-(leq(127 ^ [], n5))], (136 ^ _193202) ^ [] : [-(leq(128 ^ [], n0))], (138 ^ _193202) ^ [] : [a_select3(dv_ds1_filter_init, 127 ^ [], 128 ^ []) = init]], 143 ^ _193202 : [(144 ^ _193202) ^ [] : [-(leq(n0, 141 ^ []))], (146 ^ _193202) ^ [] : [-(leq(n0, 142 ^ []))], (148 ^ _193202) ^ [] : [-(leq(141 ^ [], n5))], (150 ^ _193202) ^ [] : [-(leq(142 ^ [], n5))], (152 ^ _193202) ^ [] : [a_select3(q_ds1_filter_init, 141 ^ [], 142 ^ []) = init]], 157 ^ _193202 : [(158 ^ _193202) ^ [] : [-(leq(n0, 155 ^ []))], (160 ^ _193202) ^ [] : [-(leq(n0, 156 ^ []))], (162 ^ _193202) ^ [] : [-(leq(155 ^ [], n2))], (164 ^ _193202) ^ [] : [-(leq(156 ^ [], n2))], (166 ^ _193202) ^ [] : [a_select3(r_ds1_filter_init, 155 ^ [], 156 ^ []) = init]], 171 ^ _193202 : [(172 ^ _193202) ^ [] : [-(leq(n0, 169 ^ []))], (174 ^ _193202) ^ [] : [-(leq(n0, 170 ^ []))], (176 ^ _193202) ^ [] : [-(leq(169 ^ [], n5))], (178 ^ _193202) ^ [] : [-(leq(170 ^ [], n0))], (180 ^ _193202) ^ [] : [a_select3(xhatmin_ds1_filter_init, 169 ^ [], 170 ^ []) = init]], 185 ^ _193202 : [(186 ^ _193202) ^ [] : [-(leq(n0, 183 ^ []))], (188 ^ _193202) ^ [] : [-(leq(n0, 184 ^ []))], (190 ^ _193202) ^ [] : [-(leq(183 ^ [], n5))], (192 ^ _193202) ^ [] : [-(leq(184 ^ [], n5))], (194 ^ _193202) ^ [] : [a_select3(pminus_ds1_filter_init, 183 ^ [], 184 ^ []) = init]], 199 ^ _193202 : [(200 ^ _193202) ^ [] : [-(leq(n0, 197 ^ []))], (202 ^ _193202) ^ [] : [-(leq(n0, 198 ^ []))], (204 ^ _193202) ^ [] : [-(leq(197 ^ [], n5))], (206 ^ _193202) ^ [] : [-(leq(198 ^ [], n5))], (208 ^ _193202) ^ [] : [-(197 ^ [] = pv63)], (210 ^ _193202) ^ [] : [-(gt(pv64, 198 ^ []))], (212 ^ _193202) ^ [] : [a_select3(id_ds1_filter_init, 197 ^ [], 198 ^ []) = init]], 217 ^ _193202 : [(218 ^ _193202) ^ [] : [-(leq(n0, 215 ^ []))], (220 ^ _193202) ^ [] : [-(leq(n0, 216 ^ []))], (222 ^ _193202) ^ [] : [-(leq(215 ^ [], n5))], (224 ^ _193202) ^ [] : [-(leq(216 ^ [], n5))], (226 ^ _193202) ^ [] : [-(gt(pv63, 215 ^ []))], (228 ^ _193202) ^ [] : [a_select3(id_ds1_filter_init, 215 ^ [], 216 ^ []) = init]], 230 ^ _193202 : [(231 ^ _193202) ^ [] : [-(leq(n0, 229 ^ []))], (233 ^ _193202) ^ [] : [-(leq(229 ^ [], pred(pv63)))], (236 ^ _193202) ^ [] : [-(leq(n0, 234 ^ []))], (238 ^ _193202) ^ [] : [-(leq(234 ^ [], n5))], (240 ^ _193202) ^ [] : [a_select3(id_ds1_filter_init, 229 ^ [], 234 ^ []) = init]]], (48 ^ _193202) ^ [_194846, _194848] : [_194848 = _194846, -(pred(_194848) = pred(_194846))], (54 ^ _193202) ^ [_195100, _195102, _195104, _195106, _195108, _195110] : [-(a_select3(_195110, _195106, _195102) = a_select3(_195108, _195104, _195100)), _195110 = _195108, _195106 = _195104, _195102 = _195100], (2 ^ _193202) ^ [_193346] : [-(_193346 = _193346)], (4 ^ _193202) ^ [_193453, _193455] : [_193455 = _193453, -(_193453 = _193455)], (10 ^ _193202) ^ [_193657, _193659, _193661] : [-(_193661 = _193657), _193661 = _193659, _193659 = _193657], (20 ^ _193202) ^ [_193998, _194000, _194002, _194004] : [-(gt(_194002, _193998)), gt(_194004, _194000), _194004 = _194002, _194000 = _193998], (34 ^ _193202) ^ [_194422, _194424, _194426, _194428] : [-(leq(_194426, _194422)), leq(_194428, _194424), _194428 = _194426, _194424 = _194422], (480 ^ _193202) ^ [] : [-(leq(n0, 477 ^ []))], (482 ^ _193202) ^ [] : [-(leq(n0, 478 ^ []))], (484 ^ _193202) ^ [] : [-(leq(477 ^ [], n5))], (486 ^ _193202) ^ [] : [-(leq(478 ^ [], n5))], (488 ^ _193202) ^ [] : [pv64 = 478 ^ []], (490 ^ _193202) ^ [] : [-(477 ^ [] = pv63)], (492 ^ _193202) ^ [] : [-(leq(478 ^ [], pv64))], (494 ^ _193202) ^ [] : [a_select3(id_ds1_filter_init, 477 ^ [], 478 ^ []) = init], (272 ^ _193202) ^ [] : [pv63 = pv64], (274 ^ _193202) ^ [] : [-(leq(n0, pv5))], (276 ^ _193202) ^ [] : [-(leq(n0, pv63))], (278 ^ _193202) ^ [] : [-(leq(n0, pv64))], (280 ^ _193202) ^ [] : [-(leq(pv5, n998))], (282 ^ _193202) ^ [] : [-(leq(pv63, n5))], (284 ^ _193202) ^ [] : [-(leq(pv64, n5))], (286 ^ _193202) ^ [_201572, _201574] : [-(a_select3(h_ds1_filter_init, _201574, _201572) = init), leq(n0, _201574), leq(n0, _201572), leq(_201574, n2), leq(_201572, n5)], (304 ^ _193202) ^ [_202057, _202059] : [-(a_select3(phi_ds1_filter_init, _202059, _202057) = init), leq(n0, _202059), leq(n0, _202057), leq(_202059, n5), leq(_202057, n5)], (322 ^ _193202) ^ [_202542, _202544] : [-(a_select3(dv_ds1_filter_init, _202544, _202542) = init), leq(n0, _202544), leq(n0, _202542), leq(_202544, n5), leq(_202542, n0)], (340 ^ _193202) ^ [_203027, _203029] : [-(a_select3(q_ds1_filter_init, _203029, _203027) = init), leq(n0, _203029), leq(n0, _203027), leq(_203029, n5), leq(_203027, n5)], (358 ^ _193202) ^ [_203512, _203514] : [-(a_select3(r_ds1_filter_init, _203514, _203512) = init), leq(n0, _203514), leq(n0, _203512), leq(_203514, n2), leq(_203512, n2)], (376 ^ _193202) ^ [_203997, _203999] : [-(a_select3(xhatmin_ds1_filter_init, _203999, _203997) = init), leq(n0, _203999), leq(n0, _203997), leq(_203999, n5), leq(_203997, n0)], (394 ^ _193202) ^ [_204482, _204484] : [-(a_select3(pminus_ds1_filter_init, _204484, _204482) = init), leq(n0, _204484), leq(n0, _204482), leq(_204484, n5), leq(_204482, n5)], (412 ^ _193202) ^ [_204967, _204969] : [-(a_select3(id_ds1_filter_init, _204969, _204967) = init), _204969 = pv63, gt(pv64, _204967), leq(n0, _204969), leq(n0, _204967), leq(_204969, n5), leq(_204967, n5)], (460 ^ _193202) ^ [_206176] : [leq(n0, _206176), leq(_206176, pred(pv63)), 467 ^ _193202 : [(468 ^ _193202) ^ [_206404] : [-(a_select3(id_ds1_filter_init, _206176, _206404) = init), leq(n0, _206404), leq(_206404, n5)]]], (438 ^ _193202) ^ [_205634, _205636] : [gt(pv63, _205636), -(a_select3(id_ds1_filter_init, _205636, _205634) = init), leq(n0, _205636), leq(n0, _205634), leq(_205636, n5), leq(_205634, n5)]], input).
% 0.34/1.37  ncf('1',plain,[pv64 = 478 ^ []],start(488 ^ 0)).
% 0.34/1.37  ncf('1.1',plain,[-(pv64 = 478 ^ []), 242 : leq(n0, 477 ^ []), 242 : leq(n0, 478 ^ []), 242 : leq(477 ^ [], n5), 242 : leq(478 ^ [], n5), 242 : -(a_select3(id_ds1_filter_init, 477 ^ [], 478 ^ []) = init), 242 : 477 ^ [] = pv63, 242 : leq(478 ^ [], pv64), 242 : -(pv63 = pv64), 242 : leq(n0, pv5), 242 : leq(n0, pv63), 242 : leq(n0, pv64), 242 : leq(pv5, n998), 242 : leq(pv63, n5), 242 : leq(pv64, n5), 102 : -(leq(n0, 99 ^ [])), 116 : -(leq(n0, 113 ^ [])), 130 : -(leq(n0, 127 ^ [])), 144 : -(leq(n0, 141 ^ [])), 158 : -(leq(n0, 155 ^ [])), 172 : -(leq(n0, 169 ^ [])), 186 : -(leq(n0, 183 ^ [])), 200 : -(leq(n0, 197 ^ [])), 218 : -(leq(n0, 215 ^ [])), 231 : -(leq(n0, 229 ^ []))],extension(68 ^ 1,bind([[_200414, _200416], [478 ^ [], 477 ^ []]]))).
% 0.34/1.37  ncf('1.1.1',plain,[-(leq(n0, 477 ^ []))],extension(480 ^ 4)).
% 0.34/1.37  ncf('1.1.2',plain,[-(leq(n0, 478 ^ []))],extension(482 ^ 4)).
% 0.34/1.37  ncf('1.1.3',plain,[-(leq(477 ^ [], n5))],extension(484 ^ 4)).
% 0.34/1.37  ncf('1.1.4',plain,[-(leq(478 ^ [], n5))],extension(486 ^ 4)).
% 0.34/1.37  ncf('1.1.5',plain,[a_select3(id_ds1_filter_init, 477 ^ [], 478 ^ []) = init],extension(494 ^ 4)).
% 0.34/1.37  ncf('1.1.6',plain,[-(477 ^ [] = pv63)],extension(490 ^ 4)).
% 0.34/1.37  ncf('1.1.7',plain,[-(leq(478 ^ [], pv64))],extension(492 ^ 4)).
% 0.34/1.37  ncf('1.1.8',plain,[pv63 = pv64],extension(272 ^ 2)).
% 0.34/1.37  ncf('1.1.9',plain,[-(leq(n0, pv5))],extension(274 ^ 2)).
% 0.34/1.37  ncf('1.1.10',plain,[-(leq(n0, pv63))],extension(276 ^ 2)).
% 0.34/1.37  ncf('1.1.11',plain,[-(leq(n0, pv64))],extension(278 ^ 2)).
% 0.34/1.37  ncf('1.1.12',plain,[-(leq(pv5, n998))],extension(280 ^ 2)).
% 0.34/1.37  ncf('1.1.13',plain,[-(leq(pv63, n5))],extension(282 ^ 2)).
% 0.34/1.37  ncf('1.1.14',plain,[-(leq(pv64, n5))],extension(284 ^ 2)).
% 0.34/1.37  ncf('1.1.15',plain,[leq(n0, 99 ^ []), -(a_select3(h_ds1_filter_init, 99 ^ [], 100 ^ []) = init), leq(n0, 100 ^ []), leq(99 ^ [], n2), leq(100 ^ [], n5)],extension(286 ^ 4,bind([[_201572, _201574], [100 ^ [], 99 ^ []]]))).
% 0.34/1.37  ncf('1.1.15.1',plain,[a_select3(h_ds1_filter_init, 99 ^ [], 100 ^ []) = init],extension(110 ^ 5)).
% 0.34/1.37  ncf('1.1.15.2',plain,[-(leq(n0, 100 ^ []))],extension(104 ^ 5)).
% 0.34/1.37  ncf('1.1.15.3',plain,[-(leq(99 ^ [], n2))],extension(106 ^ 5)).
% 0.34/1.37  ncf('1.1.15.4',plain,[-(leq(100 ^ [], n5))],extension(108 ^ 5)).
% 0.34/1.37  ncf('1.1.16',plain,[leq(n0, 113 ^ []), -(a_select3(phi_ds1_filter_init, 113 ^ [], 114 ^ []) = init), leq(n0, 114 ^ []), leq(113 ^ [], n5), leq(114 ^ [], n5)],extension(304 ^ 4,bind([[_202057, _202059], [114 ^ [], 113 ^ []]]))).
% 0.34/1.37  ncf('1.1.16.1',plain,[a_select3(phi_ds1_filter_init, 113 ^ [], 114 ^ []) = init],extension(124 ^ 5)).
% 0.34/1.37  ncf('1.1.16.2',plain,[-(leq(n0, 114 ^ []))],extension(118 ^ 5)).
% 0.34/1.37  ncf('1.1.16.3',plain,[-(leq(113 ^ [], n5))],extension(120 ^ 5)).
% 0.34/1.37  ncf('1.1.16.4',plain,[-(leq(114 ^ [], n5))],extension(122 ^ 5)).
% 0.34/1.37  ncf('1.1.17',plain,[leq(n0, 127 ^ []), -(a_select3(dv_ds1_filter_init, 127 ^ [], 128 ^ []) = init), leq(n0, 128 ^ []), leq(127 ^ [], n5), leq(128 ^ [], n0)],extension(322 ^ 4,bind([[_202542, _202544], [128 ^ [], 127 ^ []]]))).
% 0.34/1.37  ncf('1.1.17.1',plain,[a_select3(dv_ds1_filter_init, 127 ^ [], 128 ^ []) = init],extension(138 ^ 5)).
% 0.34/1.37  ncf('1.1.17.2',plain,[-(leq(n0, 128 ^ []))],extension(132 ^ 5)).
% 0.34/1.37  ncf('1.1.17.3',plain,[-(leq(127 ^ [], n5))],extension(134 ^ 5)).
% 0.34/1.37  ncf('1.1.17.4',plain,[-(leq(128 ^ [], n0))],extension(136 ^ 5)).
% 0.34/1.37  ncf('1.1.18',plain,[leq(n0, 141 ^ []), -(a_select3(q_ds1_filter_init, 141 ^ [], 142 ^ []) = init), leq(n0, 142 ^ []), leq(141 ^ [], n5), leq(142 ^ [], n5)],extension(340 ^ 4,bind([[_203027, _203029], [142 ^ [], 141 ^ []]]))).
% 0.34/1.37  ncf('1.1.18.1',plain,[a_select3(q_ds1_filter_init, 141 ^ [], 142 ^ []) = init],extension(152 ^ 5)).
% 0.34/1.37  ncf('1.1.18.2',plain,[-(leq(n0, 142 ^ []))],extension(146 ^ 5)).
% 0.34/1.37  ncf('1.1.18.3',plain,[-(leq(141 ^ [], n5))],extension(148 ^ 5)).
% 0.34/1.37  ncf('1.1.18.4',plain,[-(leq(142 ^ [], n5))],extension(150 ^ 5)).
% 0.34/1.37  ncf('1.1.19',plain,[leq(n0, 155 ^ []), -(a_select3(r_ds1_filter_init, 155 ^ [], 156 ^ []) = init), leq(n0, 156 ^ []), leq(155 ^ [], n2), leq(156 ^ [], n2)],extension(358 ^ 4,bind([[_203512, _203514], [156 ^ [], 155 ^ []]]))).
% 0.34/1.37  ncf('1.1.19.1',plain,[a_select3(r_ds1_filter_init, 155 ^ [], 156 ^ []) = init],extension(166 ^ 5)).
% 0.34/1.37  ncf('1.1.19.2',plain,[-(leq(n0, 156 ^ []))],extension(160 ^ 5)).
% 0.34/1.37  ncf('1.1.19.3',plain,[-(leq(155 ^ [], n2))],extension(162 ^ 5)).
% 0.34/1.37  ncf('1.1.19.4',plain,[-(leq(156 ^ [], n2))],extension(164 ^ 5)).
% 0.34/1.37  ncf('1.1.20',plain,[leq(n0, 169 ^ []), -(a_select3(xhatmin_ds1_filter_init, 169 ^ [], 170 ^ []) = init), leq(n0, 170 ^ []), leq(169 ^ [], n5), leq(170 ^ [], n0)],extension(376 ^ 4,bind([[_203997, _203999], [170 ^ [], 169 ^ []]]))).
% 0.34/1.37  ncf('1.1.20.1',plain,[a_select3(xhatmin_ds1_filter_init, 169 ^ [], 170 ^ []) = init],extension(180 ^ 5)).
% 0.34/1.37  ncf('1.1.20.2',plain,[-(leq(n0, 170 ^ []))],extension(174 ^ 5)).
% 0.34/1.37  ncf('1.1.20.3',plain,[-(leq(169 ^ [], n5))],extension(176 ^ 5)).
% 0.34/1.37  ncf('1.1.20.4',plain,[-(leq(170 ^ [], n0))],extension(178 ^ 5)).
% 0.34/1.37  ncf('1.1.21',plain,[leq(n0, 183 ^ []), -(a_select3(pminus_ds1_filter_init, 183 ^ [], 184 ^ []) = init), leq(n0, 184 ^ []), leq(183 ^ [], n5), leq(184 ^ [], n5)],extension(394 ^ 4,bind([[_204482, _204484], [184 ^ [], 183 ^ []]]))).
% 0.34/1.37  ncf('1.1.21.1',plain,[a_select3(pminus_ds1_filter_init, 183 ^ [], 184 ^ []) = init],extension(194 ^ 5)).
% 0.34/1.37  ncf('1.1.21.2',plain,[-(leq(n0, 184 ^ []))],extension(188 ^ 5)).
% 0.34/1.37  ncf('1.1.21.3',plain,[-(leq(183 ^ [], n5))],extension(190 ^ 5)).
% 0.34/1.37  ncf('1.1.21.4',plain,[-(leq(184 ^ [], n5))],extension(192 ^ 5)).
% 0.34/1.37  ncf('1.1.22',plain,[leq(n0, 197 ^ []), -(a_select3(id_ds1_filter_init, 197 ^ [], 198 ^ []) = init), 197 ^ [] = pv63, gt(pv64, 198 ^ []), leq(n0, 198 ^ []), leq(197 ^ [], n5), leq(198 ^ [], n5)],extension(412 ^ 4,bind([[_204967, _204969], [198 ^ [], 197 ^ []]]))).
% 0.34/1.37  ncf('1.1.22.1',plain,[a_select3(id_ds1_filter_init, 197 ^ [], 198 ^ []) = init],extension(212 ^ 5)).
% 0.34/1.37  ncf('1.1.22.2',plain,[-(197 ^ [] = pv63)],extension(208 ^ 5)).
% 0.34/1.37  ncf('1.1.22.3',plain,[-(gt(pv64, 198 ^ []))],extension(210 ^ 5)).
% 0.34/1.37  ncf('1.1.22.4',plain,[-(leq(n0, 198 ^ []))],extension(202 ^ 5)).
% 0.34/1.37  ncf('1.1.22.5',plain,[-(leq(197 ^ [], n5))],extension(204 ^ 5)).
% 0.34/1.37  ncf('1.1.22.6',plain,[-(leq(198 ^ [], n5))],extension(206 ^ 5)).
% 0.34/1.37  ncf('1.1.23',plain,[leq(n0, 215 ^ []), gt(pv63, 215 ^ []), -(a_select3(id_ds1_filter_init, 215 ^ [], 216 ^ []) = init), leq(n0, 216 ^ []), leq(215 ^ [], n5), leq(216 ^ [], n5)],extension(438 ^ 4,bind([[_205634, _205636], [216 ^ [], 215 ^ []]]))).
% 0.34/1.37  ncf('1.1.23.1',plain,[-(gt(pv63, 215 ^ []))],extension(226 ^ 5)).
% 0.34/1.37  ncf('1.1.23.2',plain,[a_select3(id_ds1_filter_init, 215 ^ [], 216 ^ []) = init],extension(228 ^ 5)).
% 0.34/1.37  ncf('1.1.23.3',plain,[-(leq(n0, 216 ^ []))],extension(220 ^ 5)).
% 0.34/1.37  ncf('1.1.23.4',plain,[-(leq(215 ^ [], n5))],extension(222 ^ 5)).
% 0.34/1.37  ncf('1.1.23.5',plain,[-(leq(216 ^ [], n5))],extension(224 ^ 5)).
% 0.34/1.37  ncf('1.1.24',plain,[leq(n0, 229 ^ []), leq(229 ^ [], pred(pv63)), 468 : -(a_select3(id_ds1_filter_init, 229 ^ [], 234 ^ []) = init), 468 : leq(n0, 234 ^ []), 468 : leq(234 ^ [], n5)],extension(460 ^ 4,bind([[_206176, _206404], [229 ^ [], 234 ^ []]]))).
% 0.34/1.37  ncf('1.1.24.1',plain,[-(leq(229 ^ [], pred(pv63)))],extension(233 ^ 5)).
% 0.34/1.37  ncf('1.1.24.2',plain,[a_select3(id_ds1_filter_init, 229 ^ [], 234 ^ []) = init],extension(240 ^ 7)).
% 0.34/1.37  ncf('1.1.24.3',plain,[-(leq(n0, 234 ^ []))],extension(236 ^ 7)).
% 0.34/1.37  ncf('1.1.24.4',plain,[-(leq(234 ^ [], n5))],extension(238 ^ 7)).
% 0.34/1.37  %-----------------------------------------------------
% 0.34/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------