TSTP Solution File: NUN065+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUN065+1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n012.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 11:46:28 EDT 2023
% Result : Theorem 178.12s 172.13s
% Output : Proof 178.12s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUN065+1 : TPTP v8.1.2. Released v7.3.0.
% 0.07/0.13 % Command : nanocop.sh %s %d
% 0.12/0.34 % Computer : n012.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 21:11:46 EDT 2023
% 0.12/0.34 % CPUTime :
% 178.12/172.13
% 178.12/172.13 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 178.12/172.13 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 178.12/172.13 %-----------------------------------------------------
% 178.12/172.13 ncf(matrix, plain, [(224 ^ _60693) ^ [_60738] : [227 ^ _60693 : [(232 ^ _60693) ^ [] : [-(id(_60738, 225 ^ [_60738]))], (230 ^ _60693) ^ [] : [-(r2(226 ^ [_60738], 225 ^ [_60738]))], (228 ^ _60693) ^ [] : [-(r1(226 ^ [_60738]))]], 234 ^ _60693 : [(235 ^ _60693) ^ [] : [-(id(_60738, 233 ^ [_60738]))], (237 ^ _60693) ^ [] : [-(r1(233 ^ [_60738]))]]], !, (150 ^ _51944) ^ [_57610, _57612] : [-(r2(148 ^ [_57610, _57612], 139 ^ [_57610, _57612]))], (36 ^ _51944) ^ [_53456, _53458, _53460] : [37 ^ _51944 : [(38 ^ _51944) ^ [] : [-(id(_53456, 34 ^ [_53458, _53460]))], (40 ^ _51944) ^ [] : [-(r4(_53460, _53458, _53456))]], 41 ^ _51944 : [(42 ^ _51944) ^ [] : [r4(_53460, _53458, _53456)], (44 ^ _51944) ^ [] : [id(_53456, 34 ^ [_53458, _53460])]]], (96 ^ _51944) ^ [_55589, _55591, _55593, _55595, _55597, _55599] : [id(_55599, _55593), id(_55597, _55591), id(_55595, _55589), 109 ^ _51944 : [(110 ^ _51944) ^ [] : [r3(_55599, _55597, _55595)], (112 ^ _51944) ^ [] : [r3(_55593, _55591, _55589)]], 113 ^ _51944 : [(114 ^ _51944) ^ [] : [-(r3(_55599, _55597, _55595))], (116 ^ _51944) ^ [] : [-(r3(_55593, _55591, _55589))]]], (3 ^ _51944) ^ [_52085] : [4 ^ _51944 : [(5 ^ _51944) ^ [] : [-(id(_52085, 1 ^ []))], (7 ^ _51944) ^ [] : [-(r1(_52085))]], 8 ^ _51944 : [(9 ^ _51944) ^ [] : [r1(_52085)], (11 ^ _51944) ^ [] : [id(_52085, 1 ^ [])]]], (192 ^ _51944) ^ [_59494] : [-(r1(190 ^ [_59494]))], (152 ^ _51944) ^ [_57670, _57672] : [-(r3(_57672, _57670, 148 ^ [_57670, _57672]))], (78 ^ _51944) ^ [_54952, _54954, _54956, _54958] : [id(_54958, _54954), id(_54956, _54952), 87 ^ _51944 : [(88 ^ _51944) ^ [] : [r2(_54958, _54956)], (90 ^ _51944) ^ [] : [r2(_54954, _54952)]], 91 ^ _51944 : [(92 ^ _51944) ^ [] : [-(r2(_54958, _54956))], (94 ^ _51944) ^ [] : [-(r2(_54954, _54952))]]], (194 ^ _51944) ^ [_59542] : [-(r4(_59542, 190 ^ [_59542], 189 ^ [_59542]))], (201 ^ _51944) ^ [_59825] : [203 ^ _51944 : [(204 ^ _51944) ^ [] : [-(id(_59825, 202 ^ [_59825]))], (206 ^ _51944) ^ [] : [-(r1(202 ^ [_59825]))]], 209 ^ _51944 : [(210 ^ _51944) ^ [] : [-(id(_59825, 208 ^ [_59825]))], (212 ^ _51944) ^ [] : [-(r2(207 ^ [_59825], 208 ^ [_59825]))]]], (48 ^ _51944) ^ [_53939, _53941] : [id(_53941, _53939), -(id(_53939, _53941))], (214 ^ _51944) ^ [_60344, _60346] : [r2(_60346, _60344), 215 ^ _51944 : [(216 ^ _51944) ^ [_60441] : [id(_60441, _60344), r1(_60441)]]], (166 ^ _51944) ^ [_58359, _58361] : [-(r4(_58361, _58359, 162 ^ [_58359, _58361]))], (199 ^ _51944) ^ [_59722] : [-(r1(195 ^ [_59722]))], (156 ^ _51944) ^ [_57969, _57971] : [-(id(154 ^ [_57969, _57971], 153 ^ [_57969, _57971]))], (46 ^ _51944) ^ [_53832] : [-(id(_53832, _53832))], (197 ^ _51944) ^ [_59668] : [-(id(189 ^ [_59668], 195 ^ [_59668]))], (147 ^ _51944) ^ [_57470, _57472] : [-(r3(_57472, 143 ^ [_57470, _57472], 140 ^ [_57470, _57472]))], (14 ^ _51944) ^ [_52500, _52502] : [15 ^ _51944 : [(16 ^ _51944) ^ [] : [-(id(_52500, 12 ^ [_52502]))], (18 ^ _51944) ^ [] : [-(r2(_52502, _52500))]], 19 ^ _51944 : [(20 ^ _51944) ^ [] : [r2(_52502, _52500)], (22 ^ _51944) ^ [] : [id(_52500, 12 ^ [_52502])]]], (161 ^ _51944) ^ [_58157, _58159] : [-(r4(_58159, 157 ^ [_58157, _58159], 154 ^ [_58157, _58159]))], (186 ^ _51944) ^ [_59197] : [-(r1(184 ^ [_59197]))], (145 ^ _51944) ^ [_57417, _57419] : [-(r2(_57417, 143 ^ [_57417, _57419]))], (64 ^ _51944) ^ [_54478, _54480] : [id(_54480, _54478), 69 ^ _51944 : [(70 ^ _51944) ^ [] : [r1(_54480)], (72 ^ _51944) ^ [] : [r1(_54478)]], 73 ^ _51944 : [(74 ^ _51944) ^ [] : [-(r1(_54480))], (76 ^ _51944) ^ [] : [-(r1(_54478))]]], (118 ^ _51944) ^ [_56377, _56379, _56381, _56383, _56385, _56387] : [id(_56387, _56381), id(_56385, _56379), id(_56383, _56377), 131 ^ _51944 : [(132 ^ _51944) ^ [] : [r4(_56387, _56385, _56383)], (134 ^ _51944) ^ [] : [r4(_56381, _56379, _56377)]], 135 ^ _51944 : [(136 ^ _51944) ^ [] : [-(r4(_56387, _56385, _56383))], (138 ^ _51944) ^ [] : [-(r4(_56381, _56379, _56377))]]], (54 ^ _51944) ^ [_54165, _54167, _54169] : [id(_54169, _54167), -(id(_54169, _54165)), id(_54167, _54165)], (183 ^ _51944) ^ [_59078] : [-(id(181 ^ [_59078], _59078))], (168 ^ _51944) ^ [_58484, _58486] : [-(id(_58486, _58484)), 169 ^ _51944 : [(170 ^ _51944) ^ [_58593] : [r2(_58484, _58593), 171 ^ _51944 : [(172 ^ _51944) ^ [_58697] : [id(_58697, _58593), r2(_58486, _58697)]]]]], (159 ^ _51944) ^ [_58104, _58106] : [-(r2(_58104, 157 ^ [_58104, _58106]))], (142 ^ _51944) ^ [_57282, _57284] : [-(id(140 ^ [_57282, _57284], 139 ^ [_57282, _57284]))], (164 ^ _51944) ^ [_58298, _58300] : [-(r3(162 ^ [_58298, _58300], _58300, 153 ^ [_58298, _58300]))], (188 ^ _51944) ^ [_59245] : [-(r3(_59245, 184 ^ [_59245], 181 ^ [_59245]))], (25 ^ _51944) ^ [_52967, _52969, _52971] : [26 ^ _51944 : [(27 ^ _51944) ^ [] : [-(id(_52967, 23 ^ [_52969, _52971]))], (29 ^ _51944) ^ [] : [-(r3(_52971, _52969, _52967))]], 30 ^ _51944 : [(31 ^ _51944) ^ [] : [r3(_52971, _52969, _52967)], (33 ^ _51944) ^ [] : [id(_52967, 23 ^ [_52969, _52971])]]]], input).
% 178.12/172.13 ncf('1',plain,[228 : -(r1(226 ^ [12 ^ [12 ^ [1 ^ []]]])), 235 : -(id(12 ^ [12 ^ [1 ^ []]], 233 ^ [12 ^ [12 ^ [1 ^ []]]]))],start(224 ^ 0,bind([[_60738], [12 ^ [12 ^ [1 ^ []]]]]))).
% 178.12/172.13 ncf('1.1',plain,[r1(226 ^ [12 ^ [12 ^ [1 ^ []]]]), 5 : -(id(226 ^ [12 ^ [12 ^ [1 ^ []]]], 1 ^ []))],extension(3 ^ 3,bind([[_52085], [226 ^ [12 ^ [12 ^ [1 ^ []]]]]]))).
% 178.12/172.13 ncf('1.1.1',plain,[id(226 ^ [12 ^ [12 ^ [1 ^ []]]], 1 ^ []), id(226 ^ [12 ^ [12 ^ [1 ^ []]]], 1 ^ []), 90 : r2(1 ^ [], 1 ^ []), 92 : -(r2(226 ^ [12 ^ [12 ^ [1 ^ []]]], 226 ^ [12 ^ [12 ^ [1 ^ []]]]))],extension(78 ^ 6,bind([[_54952, _54954, _54956, _54958], [1 ^ [], 1 ^ [], 226 ^ [12 ^ [12 ^ [1 ^ []]]], 226 ^ [12 ^ [12 ^ [1 ^ []]]]]]))).
% 178.12/172.13 ncf('1.1.1.1',plain,[-(id(226 ^ [12 ^ [12 ^ [1 ^ []]]], 1 ^ []))],reduction('1.1')).
% 178.12/172.13 ncf('1.1.1.2',plain,[-(r2(1 ^ [], 1 ^ [])), 22 : id(1 ^ [], 12 ^ [1 ^ []])],extension(14 ^ 9,bind([[_52500, _52502], [1 ^ [], 1 ^ []]]))).
% 178.12/172.13 ncf('1.1.1.2.1',plain,[-(id(1 ^ [], 12 ^ [1 ^ []])), 170 : r2(12 ^ [1 ^ []], 12 ^ [12 ^ [1 ^ []]]), 172 : id(225 ^ [12 ^ [12 ^ [1 ^ []]]], 12 ^ [12 ^ [1 ^ []]]), 172 : r2(1 ^ [], 225 ^ [12 ^ [12 ^ [1 ^ []]]])],extension(168 ^ 12,bind([[_58484, _58486, _58593, _58697], [12 ^ [1 ^ []], 1 ^ [], 12 ^ [12 ^ [1 ^ []]], 225 ^ [12 ^ [12 ^ [1 ^ []]]]]]))).
% 178.12/172.13 ncf('1.1.1.2.1.1',plain,[-(r2(12 ^ [1 ^ []], 12 ^ [12 ^ [1 ^ []]])), 22 : id(12 ^ [12 ^ [1 ^ []]], 12 ^ [12 ^ [1 ^ []]])],extension(14 ^ 15,bind([[_52500, _52502], [12 ^ [12 ^ [1 ^ []]], 12 ^ [1 ^ []]]]))).
% 178.12/172.13 ncf('1.1.1.2.1.1.1',plain,[-(id(12 ^ [12 ^ [1 ^ []]], 12 ^ [12 ^ [1 ^ []]]))],extension(46 ^ 18,bind([[_53832], [12 ^ [12 ^ [1 ^ []]]]]))).
% 178.12/172.13 ncf('1.1.1.2.1.2',plain,[-(id(225 ^ [12 ^ [12 ^ [1 ^ []]]], 12 ^ [12 ^ [1 ^ []]])), id(12 ^ [12 ^ [1 ^ []]], 225 ^ [12 ^ [12 ^ [1 ^ []]]])],extension(48 ^ 17,bind([[_53939, _53941], [225 ^ [12 ^ [12 ^ [1 ^ []]]], 12 ^ [12 ^ [1 ^ []]]]]))).
% 178.12/172.13 ncf('1.1.1.2.1.2.1',plain,[-(id(12 ^ [12 ^ [1 ^ []]], 225 ^ [12 ^ [12 ^ [1 ^ []]]]))],extension(232 ^ 18)).
% 178.12/172.13 ncf('1.1.1.2.1.3',plain,[-(r2(1 ^ [], 225 ^ [12 ^ [12 ^ [1 ^ []]]])), id(1 ^ [], 226 ^ [12 ^ [12 ^ [1 ^ []]]]), id(225 ^ [12 ^ [12 ^ [1 ^ []]]], 225 ^ [12 ^ [12 ^ [1 ^ []]]]), 90 : r2(226 ^ [12 ^ [12 ^ [1 ^ []]]], 225 ^ [12 ^ [12 ^ [1 ^ []]]])],extension(78 ^ 17,bind([[_54952, _54954, _54956, _54958], [225 ^ [12 ^ [12 ^ [1 ^ []]]], 226 ^ [12 ^ [12 ^ [1 ^ []]]], 225 ^ [12 ^ [12 ^ [1 ^ []]]], 1 ^ []]]))).
% 178.12/172.13 ncf('1.1.1.2.1.3.1',plain,[-(id(1 ^ [], 226 ^ [12 ^ [12 ^ [1 ^ []]]])), id(226 ^ [12 ^ [12 ^ [1 ^ []]]], 1 ^ [])],extension(48 ^ 18,bind([[_53939, _53941], [1 ^ [], 226 ^ [12 ^ [12 ^ [1 ^ []]]]]]))).
% 178.12/172.13 ncf('1.1.1.2.1.3.1.1',plain,[-(id(226 ^ [12 ^ [12 ^ [1 ^ []]]], 1 ^ []))],reduction('1.1')).
% 178.12/172.13 ncf('1.1.1.2.1.3.2',plain,[-(id(225 ^ [12 ^ [12 ^ [1 ^ []]]], 225 ^ [12 ^ [12 ^ [1 ^ []]]]))],extension(46 ^ 18,bind([[_53832], [225 ^ [12 ^ [12 ^ [1 ^ []]]]]]))).
% 178.12/172.13 ncf('1.1.1.2.1.3.3',plain,[-(r2(226 ^ [12 ^ [12 ^ [1 ^ []]]], 225 ^ [12 ^ [12 ^ [1 ^ []]]]))],extension(230 ^ 20)).
% 178.12/172.13 ncf('1.1.1.3',plain,[r2(226 ^ [12 ^ [12 ^ [1 ^ []]]], 226 ^ [12 ^ [12 ^ [1 ^ []]]]), id(226 ^ [12 ^ [12 ^ [1 ^ []]]], 1 ^ []), id(226 ^ [12 ^ [12 ^ [1 ^ []]]], 1 ^ []), 94 : -(r2(1 ^ [], 1 ^ []))],extension(78 ^ 9,bind([[_54952, _54954, _54956, _54958], [1 ^ [], 1 ^ [], 226 ^ [12 ^ [12 ^ [1 ^ []]]], 226 ^ [12 ^ [12 ^ [1 ^ []]]]]]))).
% 178.12/172.13 ncf('1.1.1.3.1',plain,[-(id(226 ^ [12 ^ [12 ^ [1 ^ []]]], 1 ^ []))],reduction('1.1')).
% 178.12/172.13 ncf('1.1.1.3.2',plain,[-(id(226 ^ [12 ^ [12 ^ [1 ^ []]]], 1 ^ []))],reduction('1.1')).
% 178.12/172.13 ncf('1.1.1.3.3',plain,[r2(1 ^ [], 1 ^ []), 216 : id(226 ^ [12 ^ [12 ^ [1 ^ []]]], 1 ^ []), 216 : r1(226 ^ [12 ^ [12 ^ [1 ^ []]]])],extension(214 ^ 12,bind([[_60344, _60346, _60441], [1 ^ [], 1 ^ [], 226 ^ [12 ^ [12 ^ [1 ^ []]]]]]))).
% 178.12/172.13 ncf('1.1.1.3.3.1',plain,[-(id(226 ^ [12 ^ [12 ^ [1 ^ []]]], 1 ^ []))],reduction('1.1')).
% 178.12/172.13 ncf('1.1.1.3.3.2',plain,[-(r1(226 ^ [12 ^ [12 ^ [1 ^ []]]]))],reduction('1')).
% 178.12/172.13 ncf('1.2',plain,[id(12 ^ [12 ^ [1 ^ []]], 233 ^ [12 ^ [12 ^ [1 ^ []]]]), -(id(233 ^ [12 ^ [12 ^ [1 ^ []]]], 12 ^ [12 ^ [1 ^ []]]))],extension(48 ^ 3,bind([[_53939, _53941], [233 ^ [12 ^ [12 ^ [1 ^ []]]], 12 ^ [12 ^ [1 ^ []]]]]))).
% 178.12/172.13 ncf('1.2.1',plain,[id(233 ^ [12 ^ [12 ^ [1 ^ []]]], 12 ^ [12 ^ [1 ^ []]]), 216 : r1(233 ^ [12 ^ [12 ^ [1 ^ []]]]), 216 : r2(12 ^ [1 ^ []], 12 ^ [12 ^ [1 ^ []]])],extension(214 ^ 4,bind([[_60344, _60346, _60441], [12 ^ [12 ^ [1 ^ []]], 12 ^ [1 ^ []], 233 ^ [12 ^ [12 ^ [1 ^ []]]]]]))).
% 178.12/172.13 ncf('1.2.1.1',plain,[-(r1(233 ^ [12 ^ [12 ^ [1 ^ []]]]))],extension(237 ^ 7)).
% 178.12/172.13 ncf('1.2.1.2',plain,[-(r2(12 ^ [1 ^ []], 12 ^ [12 ^ [1 ^ []]])), 22 : id(12 ^ [12 ^ [1 ^ []]], 12 ^ [12 ^ [1 ^ []]])],extension(14 ^ 5,bind([[_52500, _52502], [12 ^ [12 ^ [1 ^ []]], 12 ^ [1 ^ []]]]))).
% 178.12/172.13 ncf('1.2.1.2.1',plain,[-(id(12 ^ [12 ^ [1 ^ []]], 12 ^ [12 ^ [1 ^ []]])), id(12 ^ [12 ^ [1 ^ []]], 12 ^ [12 ^ [1 ^ []]])],extension(48 ^ 8,bind([[_53939, _53941], [12 ^ [12 ^ [1 ^ []]], 12 ^ [12 ^ [1 ^ []]]]]))).
% 178.12/172.13 ncf('1.2.1.2.1.1',plain,[-(id(12 ^ [12 ^ [1 ^ []]], 12 ^ [12 ^ [1 ^ []]]))],extension(46 ^ 9,bind([[_53832], [12 ^ [12 ^ [1 ^ []]]]]))).
% 178.12/172.13 %-----------------------------------------------------
% 178.12/172.13 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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