TSTP Solution File: LCL656+1.005 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : LCL656+1.005 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n005.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 11:33:40 EDT 2023

% Result   : Theorem 25.77s 25.17s
% Output   : Proof 25.77s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : LCL656+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13  % Command  : nanocop.sh %s %d
% 0.14/0.34  % Computer : n005.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Thu May 18 16:24:53 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 25.77/25.17  
% 25.77/25.17  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 25.77/25.17  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 25.77/25.17  %-----------------------------------------------------
% 25.77/25.17  ncf(matrix, plain, [(2 ^ _83748) ^ [_83812] : [-(r1(_83812, _83812))], (5 ^ _83748) ^ [_85007] : [r1(3 ^ [], _85007), 8 ^ _83748 : [(9 ^ _83748) ^ [_85182] : [r1(_85007, _85182), 12 ^ _83748 : [(13 ^ _83748) ^ [_85350] : [r1(_85182, _85350), 16 ^ _83748 : [(17 ^ _83748) ^ [_85511] : [r1(_85350, _85511), 20 ^ _83748 : [(21 ^ _83748) ^ [_85665] : [r1(_85511, _85665), -(p3(_85665))]]]]]]]]], (405 ^ _83748) ^ [] : [p101(3 ^ [])], (407 ^ _83748) ^ [] : [-(p100(3 ^ []))], (27 ^ _83748) ^ [_85907] : [r1(3 ^ [], _85907), 30 ^ _83748 : [(31 ^ _83748) ^ [_86995] : [r1(_85907, _86995), 34 ^ _83748 : [(35 ^ _83748) ^ [_88076] : [r1(_86995, _88076), 38 ^ _83748 : [(39 ^ _83748) ^ [_89150] : [r1(_88076, _89150), 42 ^ _83748 : [(43 ^ _83748) ^ [_90217] : [r1(_89150, _90217), 46 ^ _83748 : [(47 ^ _83748) ^ [] : [49 ^ _83748 : [(50 ^ _83748) ^ [] : [-(r1(_90217, 48 ^ [_85907, _86995, _88076, _89150, _90217]))], (52 ^ _83748) ^ [] : [p6(48 ^ [_85907, _86995, _88076, _89150, _90217])], (54 ^ _83748) ^ [] : [p106(48 ^ [_85907, _86995, _88076, _89150, _90217])], (56 ^ _83748) ^ [] : [-(p105(48 ^ [_85907, _86995, _88076, _89150, _90217]))], (59 ^ _83748) ^ [] : [-(r1(_90217, 57 ^ [_85907, _86995, _88076, _89150, _90217]))], (61 ^ _83748) ^ [] : [-(p6(57 ^ [_85907, _86995, _88076, _89150, _90217]))], (63 ^ _83748) ^ [] : [p106(57 ^ [_85907, _86995, _88076, _89150, _90217])], (65 ^ _83748) ^ [] : [-(p105(57 ^ [_85907, _86995, _88076, _89150, _90217]))]], -(p105(_90217)), p104(_90217)], (73 ^ _83748) ^ [] : [75 ^ _83748 : [(76 ^ _83748) ^ [] : [-(r1(_90217, 74 ^ [_85907, _86995, _88076, _89150, _90217]))], (78 ^ _83748) ^ [] : [p5(74 ^ [_85907, _86995, _88076, _89150, _90217])], (80 ^ _83748) ^ [] : [p105(74 ^ [_85907, _86995, _88076, _89150, _90217])], (82 ^ _83748) ^ [] : [-(p104(74 ^ [_85907, _86995, _88076, _89150, _90217]))], (85 ^ _83748) ^ [] : [-(r1(_90217, 83 ^ [_85907, _86995, _88076, _89150, _90217]))], (87 ^ _83748) ^ [] : [-(p5(83 ^ [_85907, _86995, _88076, _89150, _90217]))], (89 ^ _83748) ^ [] : [p105(83 ^ [_85907, _86995, _88076, _89150, _90217])], (91 ^ _83748) ^ [] : [-(p104(83 ^ [_85907, _86995, _88076, _89150, _90217]))]], -(p104(_90217)), p103(_90217)], (99 ^ _83748) ^ [] : [101 ^ _83748 : [(102 ^ _83748) ^ [] : [-(r1(_90217, 100 ^ [_85907, _86995, _88076, _89150, _90217]))], (104 ^ _83748) ^ [] : [p4(100 ^ [_85907, _86995, _88076, _89150, _90217])], (106 ^ _83748) ^ [] : [p104(100 ^ [_85907, _86995, _88076, _89150, _90217])], (108 ^ _83748) ^ [] : [-(p103(100 ^ [_85907, _86995, _88076, _89150, _90217]))], (111 ^ _83748) ^ [] : [-(r1(_90217, 109 ^ [_85907, _86995, _88076, _89150, _90217]))], (113 ^ _83748) ^ [] : [-(p4(109 ^ [_85907, _86995, _88076, _89150, _90217]))], (115 ^ _83748) ^ [] : [p104(109 ^ [_85907, _86995, _88076, _89150, _90217])], (117 ^ _83748) ^ [] : [-(p103(109 ^ [_85907, _86995, _88076, _89150, _90217]))]], -(p103(_90217)), p102(_90217)], (125 ^ _83748) ^ [] : [127 ^ _83748 : [(128 ^ _83748) ^ [] : [-(r1(_90217, 126 ^ [_85907, _86995, _88076, _89150, _90217]))], (130 ^ _83748) ^ [] : [p3(126 ^ [_85907, _86995, _88076, _89150, _90217])], (132 ^ _83748) ^ [] : [p103(126 ^ [_85907, _86995, _88076, _89150, _90217])], (134 ^ _83748) ^ [] : [-(p102(126 ^ [_85907, _86995, _88076, _89150, _90217]))], (137 ^ _83748) ^ [] : [-(r1(_90217, 135 ^ [_85907, _86995, _88076, _89150, _90217]))], (139 ^ _83748) ^ [] : [-(p3(135 ^ [_85907, _86995, _88076, _89150, _90217]))], (141 ^ _83748) ^ [] : [p103(135 ^ [_85907, _86995, _88076, _89150, _90217])], (143 ^ _83748) ^ [] : [-(p102(135 ^ [_85907, _86995, _88076, _89150, _90217]))]], -(p102(_90217)), p101(_90217)], (151 ^ _83748) ^ [] : [153 ^ _83748 : [(154 ^ _83748) ^ [] : [-(r1(_90217, 152 ^ [_85907, _86995, _88076, _89150, _90217]))], (156 ^ _83748) ^ [] : [p2(152 ^ [_85907, _86995, _88076, _89150, _90217])], (158 ^ _83748) ^ [] : [p102(152 ^ [_85907, _86995, _88076, _89150, _90217])], (160 ^ _83748) ^ [] : [-(p101(152 ^ [_85907, _86995, _88076, _89150, _90217]))], (163 ^ _83748) ^ [] : [-(r1(_90217, 161 ^ [_85907, _86995, _88076, _89150, _90217]))], (165 ^ _83748) ^ [] : [-(p2(161 ^ [_85907, _86995, _88076, _89150, _90217]))], (167 ^ _83748) ^ [] : [p102(161 ^ [_85907, _86995, _88076, _89150, _90217])], (169 ^ _83748) ^ [] : [-(p101(161 ^ [_85907, _86995, _88076, _89150, _90217]))]], -(p101(_90217)), p100(_90217)], (177 ^ _83748) ^ [] : [p105(_90217), 178 ^ _83748 : [(179 ^ _83748) ^ [] : [-(p6(_90217)), 180 ^ _83748 : [(181 ^ _83748) ^ [_96592] : [r1(_90217, _96592), p6(_96592), p105(_96592)]]], (193 ^ _83748) ^ [] : [p6(_90217), 194 ^ _83748 : [(195 ^ _83748) ^ [_97004] : [r1(_90217, _97004), -(p6(_97004)), p105(_97004)]]]]], (209 ^ _83748) ^ [] : [p104(_90217), 210 ^ _83748 : [(211 ^ _83748) ^ [] : [-(p5(_90217)), 212 ^ _83748 : [(213 ^ _83748) ^ [_97551] : [r1(_90217, _97551), p5(_97551), p104(_97551)]]], (225 ^ _83748) ^ [] : [p5(_90217), 226 ^ _83748 : [(227 ^ _83748) ^ [_97963] : [r1(_90217, _97963), -(p5(_97963)), p104(_97963)]]]]], (241 ^ _83748) ^ [] : [p103(_90217), 242 ^ _83748 : [(243 ^ _83748) ^ [] : [-(p4(_90217)), 244 ^ _83748 : [(245 ^ _83748) ^ [_98510] : [r1(_90217, _98510), p4(_98510), p103(_98510)]]], (257 ^ _83748) ^ [] : [p4(_90217), 258 ^ _83748 : [(259 ^ _83748) ^ [_98922] : [r1(_90217, _98922), -(p4(_98922)), p103(_98922)]]]]], (273 ^ _83748) ^ [] : [p102(_90217), 274 ^ _83748 : [(275 ^ _83748) ^ [] : [-(p3(_90217)), 276 ^ _83748 : [(277 ^ _83748) ^ [_99469] : [r1(_90217, _99469), p3(_99469), p102(_99469)]]], (289 ^ _83748) ^ [] : [p3(_90217), 290 ^ _83748 : [(291 ^ _83748) ^ [_99881] : [r1(_90217, _99881), -(p3(_99881)), p102(_99881)]]]]], (305 ^ _83748) ^ [] : [p101(_90217), 306 ^ _83748 : [(307 ^ _83748) ^ [] : [-(p2(_90217)), 308 ^ _83748 : [(309 ^ _83748) ^ [_100428] : [r1(_90217, _100428), p2(_100428), p101(_100428)]]], (321 ^ _83748) ^ [] : [p2(_90217), 322 ^ _83748 : [(323 ^ _83748) ^ [_100840] : [r1(_90217, _100840), -(p2(_100840)), p101(_100840)]]]]], (337 ^ _83748) ^ [] : [p100(_90217), 338 ^ _83748 : [(339 ^ _83748) ^ [] : [-(p1(_90217)), 340 ^ _83748 : [(341 ^ _83748) ^ [_101387] : [r1(_90217, _101387), p1(_101387), p100(_101387)]]], (353 ^ _83748) ^ [] : [p1(_90217), 354 ^ _83748 : [(355 ^ _83748) ^ [_101799] : [r1(_90217, _101799), -(p1(_101799)), p100(_101799)]]]]], (369 ^ _83748) ^ [] : [-(p105(_90217)), p106(_90217)], (375 ^ _83748) ^ [] : [-(p104(_90217)), p105(_90217)], (381 ^ _83748) ^ [] : [-(p103(_90217)), p104(_90217)], (387 ^ _83748) ^ [] : [-(p102(_90217)), p103(_90217)], (393 ^ _83748) ^ [] : [-(p101(_90217)), p102(_90217)], (399 ^ _83748) ^ [] : [-(p100(_90217)), p101(_90217)]]]]]]]]]]]], input).
% 25.77/25.17  ncf('1',plain,[p101(3 ^ [])],start(405 ^ 0)).
% 25.77/25.17  ncf('1.1',plain,[-(p101(3 ^ [])), 154 : -(r1(3 ^ [], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []])), 154 : p100(3 ^ []), 151 : r1(3 ^ [], 3 ^ []), 43 : r1(3 ^ [], 3 ^ []), 39 : r1(3 ^ [], 3 ^ []), 35 : r1(3 ^ [], 3 ^ []), 31 : r1(3 ^ [], 3 ^ [])],extension(27 ^ 1,bind([[_85907, _86995, _88076, _89150, _90217], [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []]]))).
% 25.77/25.17  ncf('1.1.1',plain,[r1(3 ^ [], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []]), 31 : r1(152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []]), 35 : r1(152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []]), 39 : r1(152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []]), 43 : r1(152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []]), 128 : -(r1(152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 126 ^ [152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []]])), 128 : -(p102(152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []])), 128 : p101(152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []])],extension(27 ^ 14,bind([[_85907, _86995, _88076, _89150, _90217], [152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []]]]))).
% 25.77/25.17  ncf('1.1.1.1',plain,[-(r1(152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []]))],extension(2 ^ 17,bind([[_83812], [152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []]]]))).
% 25.77/25.17  ncf('1.1.1.2',plain,[-(r1(152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []]))],extension(2 ^ 19,bind([[_83812], [152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []]]]))).
% 25.77/25.17  ncf('1.1.1.3',plain,[-(r1(152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []]))],extension(2 ^ 21,bind([[_83812], [152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []]]]))).
% 25.77/25.17  ncf('1.1.1.4',plain,[-(r1(152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []]))],extension(2 ^ 23,bind([[_83812], [152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []]]]))).
% 25.77/25.17  ncf('1.1.1.5',plain,[r1(152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 126 ^ [152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []]]), 13 : r1(126 ^ [152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []]], 126 ^ [152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []]]), 17 : r1(126 ^ [152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []]], 126 ^ [152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []]]), 21 : r1(126 ^ [152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []]], 126 ^ [152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []]]), 21 : -(p3(126 ^ [152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []]])), 9 : r1(3 ^ [], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []])],extension(5 ^ 27,bind([[_85007, _85182, _85350, _85511, _85665], [152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 126 ^ [152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []]], 126 ^ [152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []]], 126 ^ [152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []]], 126 ^ [152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []]]]]))).
% 25.77/25.17  ncf('1.1.1.5.1',plain,[-(r1(126 ^ [152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []]], 126 ^ [152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []]]))],extension(2 ^ 32,bind([[_83812], [126 ^ [152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []]]]]))).
% 25.77/25.17  ncf('1.1.1.5.2',plain,[-(r1(126 ^ [152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []]], 126 ^ [152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []]]))],extension(2 ^ 34,bind([[_83812], [126 ^ [152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []]]]]))).
% 25.77/25.17  ncf('1.1.1.5.3',plain,[-(r1(126 ^ [152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []]], 126 ^ [152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []]]))],extension(2 ^ 36,bind([[_83812], [126 ^ [152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []]]]]))).
% 25.77/25.17  ncf('1.1.1.5.4',plain,[p3(126 ^ [152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []]])],extension(130 ^ 36)).
% 25.77/25.17  ncf('1.1.1.5.5',plain,[-(r1(3 ^ [], 152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []]))],reduction('1.1')).
% 25.77/25.17  ncf('1.1.1.6',plain,[p102(152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []]), 151 : -(p101(3 ^ [])), 151 : p100(3 ^ []), 151 : r1(3 ^ [], 3 ^ []), 43 : r1(3 ^ [], 3 ^ []), 39 : r1(3 ^ [], 3 ^ []), 35 : r1(3 ^ [], 3 ^ []), 31 : r1(3 ^ [], 3 ^ [])],extension(27 ^ 25,bind([[_85907, _86995, _88076, _89150, _90217], [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []]]))).
% 25.77/25.17  ncf('1.1.1.6.1',plain,[p101(3 ^ [])],reduction('1')).
% 25.77/25.17  ncf('1.1.1.6.2',plain,[-(p100(3 ^ []))],extension(407 ^ 36)).
% 25.77/25.17  ncf('1.1.1.6.3',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 34,bind([[_83812], [3 ^ []]]))).
% 25.77/25.17  ncf('1.1.1.6.4',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 32,bind([[_83812], [3 ^ []]]))).
% 25.77/25.17  ncf('1.1.1.6.5',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 30,bind([[_83812], [3 ^ []]]))).
% 25.77/25.17  ncf('1.1.1.6.6',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 28,bind([[_83812], [3 ^ []]]))).
% 25.77/25.17  ncf('1.1.1.6.7',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 26,bind([[_83812], [3 ^ []]]))).
% 25.77/25.17  ncf('1.1.1.7',plain,[-(p101(152 ^ [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []])), 151 : -(p101(3 ^ [])), 151 : p100(3 ^ []), 151 : r1(3 ^ [], 3 ^ []), 43 : r1(3 ^ [], 3 ^ []), 39 : r1(3 ^ [], 3 ^ []), 35 : r1(3 ^ [], 3 ^ []), 31 : r1(3 ^ [], 3 ^ [])],extension(27 ^ 25,bind([[_85907, _86995, _88076, _89150, _90217], [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []]]))).
% 25.77/25.17  ncf('1.1.1.7.1',plain,[p101(3 ^ [])],reduction('1')).
% 25.77/25.17  ncf('1.1.1.7.2',plain,[-(p100(3 ^ []))],extension(407 ^ 36)).
% 25.77/25.17  ncf('1.1.1.7.3',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 34,bind([[_83812], [3 ^ []]]))).
% 25.77/25.17  ncf('1.1.1.7.4',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 32,bind([[_83812], [3 ^ []]]))).
% 25.77/25.17  ncf('1.1.1.7.5',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 30,bind([[_83812], [3 ^ []]]))).
% 25.77/25.17  ncf('1.1.1.7.6',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 28,bind([[_83812], [3 ^ []]]))).
% 25.77/25.17  ncf('1.1.1.7.7',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 26,bind([[_83812], [3 ^ []]]))).
% 25.77/25.17  ncf('1.1.2',plain,[-(p100(3 ^ []))],extension(407 ^ 12)).
% 25.77/25.17  ncf('1.1.3',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 10,bind([[_83812], [3 ^ []]]))).
% 25.77/25.17  ncf('1.1.4',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 8,bind([[_83812], [3 ^ []]]))).
% 25.77/25.17  ncf('1.1.5',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 6,bind([[_83812], [3 ^ []]]))).
% 25.77/25.17  ncf('1.1.6',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 4,bind([[_83812], [3 ^ []]]))).
% 25.77/25.17  ncf('1.1.7',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 2,bind([[_83812], [3 ^ []]]))).
% 25.77/25.17  %-----------------------------------------------------
% 25.77/25.17  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------