TSTP Solution File: LCL668+1.001 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : LCL668+1.001 : TPTP v8.1.2. Released v4.0.0.
% 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 11:33:44 EDT 2023
% Result : Theorem 0.74s 1.37s
% Output : Proof 0.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : LCL668+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.12 % Command : nanocop.sh %s %d
% 0.11/0.33 % Computer : n012.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu May 18 15:52:17 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.74/1.37
% 0.74/1.37 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.74/1.37 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.74/1.37 %-----------------------------------------------------
% 0.74/1.37 ncf(matrix, plain, [(2 ^ _72360) ^ [_72424] : [-(r1(_72424, _72424))], (6 ^ _72360) ^ [] : [-(r1(3 ^ [], 4 ^ []))], (9 ^ _72360) ^ [] : [-(r1(4 ^ [], 7 ^ []))], (12 ^ _72360) ^ [] : [-(r1(7 ^ [], 10 ^ []))], (15 ^ _72360) ^ [] : [-(r1(10 ^ [], 13 ^ []))], (18 ^ _72360) ^ [] : [-(r1(13 ^ [], 16 ^ []))], (21 ^ _72360) ^ [] : [-(r1(16 ^ [], 19 ^ []))], (23 ^ _72360) ^ [] : [-(p12(19 ^ [])), -(p10(19 ^ [])), -(p8(19 ^ [])), -(p6(19 ^ [])), -(p4(19 ^ [])), -(p2(19 ^ []))], (46 ^ _72360) ^ [] : [-(r1(3 ^ [], 44 ^ []))], (48 ^ _72360) ^ [] : [p7(44 ^ [])], (251 ^ _72360) ^ [] : [-(r1(3 ^ [], 249 ^ []))], (254 ^ _72360) ^ [] : [-(r1(249 ^ [], 252 ^ []))], (257 ^ _72360) ^ [] : [-(r1(252 ^ [], 255 ^ []))], (260 ^ _72360) ^ [] : [-(r1(255 ^ [], 258 ^ []))], (263 ^ _72360) ^ [] : [-(r1(258 ^ [], 261 ^ []))], (266 ^ _72360) ^ [] : [-(r1(261 ^ [], 264 ^ []))], (268 ^ _72360) ^ [] : [p6(264 ^ []), p5(264 ^ []), p4(264 ^ []), p3(264 ^ []), p2(264 ^ []), p1(264 ^ [])], (50 ^ _72360) ^ [_74968] : [r1(3 ^ [], _74968), 53 ^ _72360 : [(54 ^ _72360) ^ [_75713] : [r1(_74968, _75713), 57 ^ _72360 : [(58 ^ _72360) ^ [_75941] : [r1(_75713, _75941), 61 ^ _72360 : [(62 ^ _72360) ^ [_76162] : [r1(_75941, _76162), 65 ^ _72360 : [(66 ^ _72360) ^ [_76376] : [r1(_76162, _76376), 69 ^ _72360 : [(70 ^ _72360) ^ [_76583] : [r1(_76376, _76583), 73 ^ _72360 : [(74 ^ _72360) ^ [_76783] : [r1(_76583, _76783), 77 ^ _72360 : [(78 ^ _72360) ^ [_76976] : [r1(_76783, _76976), 81 ^ _72360 : [(82 ^ _72360) ^ [] : [-(p5(_76976)), -(p1(_76976))], (88 ^ _72360) ^ [] : [p1(_76976), p5(_76976)]]]]]]]]]]]]]]], (95 ^ _72360) ^ [] : [-(r1(_74968, 93 ^ [_74968]))], (97 ^ _72360) ^ [] : [p6(93 ^ [_74968])], (99 ^ _72360) ^ [_77731] : [r1(_74968, _77731), 102 ^ _72360 : [(103 ^ _72360) ^ [_78328] : [r1(_77731, _78328), 106 ^ _72360 : [(107 ^ _72360) ^ [_78549] : [r1(_78328, _78549), 110 ^ _72360 : [(111 ^ _72360) ^ [_78763] : [r1(_78549, _78763), 114 ^ _72360 : [(115 ^ _72360) ^ [_78970] : [r1(_78763, _78970), 118 ^ _72360 : [(119 ^ _72360) ^ [_79170] : [r1(_78970, _79170), 122 ^ _72360 : [(123 ^ _72360) ^ [_79363] : [r1(_79170, _79363), 126 ^ _72360 : [(127 ^ _72360) ^ [] : [-(p4(_79363)), -(p5(_79363))], (133 ^ _72360) ^ [] : [p5(_79363), p4(_79363)]]]]]]]]]]]]], (140 ^ _72360) ^ [] : [-(r1(_77731, 138 ^ [_74968, _77731]))], (142 ^ _72360) ^ [] : [p5(138 ^ [_74968, _77731])], (144 ^ _72360) ^ [_80125] : [r1(_77731, _80125), 147 ^ _72360 : [(148 ^ _72360) ^ [_80587] : [r1(_80125, _80587), 151 ^ _72360 : [(152 ^ _72360) ^ [_80801] : [r1(_80587, _80801), 155 ^ _72360 : [(156 ^ _72360) ^ [_81008] : [r1(_80801, _81008), 159 ^ _72360 : [(160 ^ _72360) ^ [_81208] : [r1(_81008, _81208), 163 ^ _72360 : [(164 ^ _72360) ^ [_81401] : [r1(_81208, _81401), 167 ^ _72360 : [(168 ^ _72360) ^ [] : [-(p3(_81401)), -(p4(_81401))], (174 ^ _72360) ^ [] : [p4(_81401), p3(_81401)]]]]]]]]]]], (181 ^ _72360) ^ [] : [-(r1(_80125, 179 ^ [_74968, _77731, _80125]))], (183 ^ _72360) ^ [] : [p4(179 ^ [_74968, _77731, _80125])], (185 ^ _72360) ^ [_82170] : [r1(_80125, _82170), 188 ^ _72360 : [(189 ^ _72360) ^ [_82510] : [r1(_82170, _82510), 192 ^ _72360 : [(193 ^ _72360) ^ [_82717] : [r1(_82510, _82717), 196 ^ _72360 : [(197 ^ _72360) ^ [_82917] : [r1(_82717, _82917), 200 ^ _72360 : [(201 ^ _72360) ^ [_83110] : [r1(_82917, _83110), 204 ^ _72360 : [(205 ^ _72360) ^ [] : [-(p2(_83110)), -(p3(_83110))], (211 ^ _72360) ^ [] : [p3(_83110), p2(_83110)]]]]]]]]], (218 ^ _72360) ^ [] : [-(r1(_82170, 216 ^ [_74968, _77731, _80125, _82170]))], (220 ^ _72360) ^ [] : [p3(216 ^ [_74968, _77731, _80125, _82170])], (222 ^ _72360) ^ [_83886] : [r1(_82170, _83886), 225 ^ _72360 : [(226 ^ _72360) ^ [_84097] : [r1(_83886, _84097), 229 ^ _72360 : [(230 ^ _72360) ^ [_84297] : [r1(_84097, _84297), 233 ^ _72360 : [(234 ^ _72360) ^ [_84490] : [r1(_84297, _84490), 237 ^ _72360 : [(238 ^ _72360) ^ [] : [-(p1(_84490)), -(p2(_84490))], (244 ^ _72360) ^ [] : [p2(_84490), p1(_84490)]]]]]]]]]]]]]]]]]], input).
% 0.74/1.37 ncf('1',plain,[r1(3 ^ [], 3 ^ []), 54 : r1(3 ^ [], 3 ^ []), 58 : r1(3 ^ [], 3 ^ []), 62 : r1(3 ^ [], 3 ^ []), 66 : r1(3 ^ [], 3 ^ []), 70 : r1(3 ^ [], 3 ^ []), 74 : r1(3 ^ [], 3 ^ []), 78 : r1(3 ^ [], 3 ^ []), 88 : p1(3 ^ []), 88 : p5(3 ^ [])],start(50 ^ 0,bind([[_74968, _75713, _75941, _76162, _76376, _76583, _76783, _76976], [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []]]))).
% 0.74/1.37 ncf('1.1',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 1,bind([[_72424], [3 ^ []]]))).
% 0.74/1.37 ncf('1.2',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 3,bind([[_72424], [3 ^ []]]))).
% 0.74/1.37 ncf('1.3',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 5,bind([[_72424], [3 ^ []]]))).
% 0.74/1.37 ncf('1.4',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 7,bind([[_72424], [3 ^ []]]))).
% 0.74/1.37 ncf('1.5',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 9,bind([[_72424], [3 ^ []]]))).
% 0.74/1.37 ncf('1.6',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 11,bind([[_72424], [3 ^ []]]))).
% 0.74/1.37 ncf('1.7',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 13,bind([[_72424], [3 ^ []]]))).
% 0.74/1.37 ncf('1.8',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 15,bind([[_72424], [3 ^ []]]))).
% 0.74/1.37 ncf('1.9',plain,[-(p1(3 ^ [])), 238 : -(p2(3 ^ [])), 238 : r1(3 ^ [], 3 ^ []), 234 : r1(3 ^ [], 3 ^ []), 230 : r1(3 ^ [], 3 ^ []), 226 : r1(3 ^ [], 3 ^ []), 222 : r1(3 ^ [], 3 ^ []), 185 : r1(3 ^ [], 3 ^ []), 144 : r1(3 ^ [], 3 ^ [])],extension(99 ^ 17,bind([[_77731, _80125, _82170, _83886, _84097, _84297, _84490], [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []]]))).
% 0.74/1.37 ncf('1.9.1',plain,[p2(3 ^ []), 211 : p3(3 ^ []), 211 : r1(3 ^ [], 3 ^ []), 201 : r1(3 ^ [], 3 ^ []), 197 : r1(3 ^ [], 3 ^ []), 193 : r1(3 ^ [], 3 ^ [])],extension(189 ^ 32,bind([[_82510, _82717, _82917, _83110], [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []]]))).
% 0.74/1.37 ncf('1.9.1.1',plain,[-(p3(3 ^ [])), 168 : -(p4(3 ^ [])), 168 : r1(3 ^ [], 3 ^ []), 164 : r1(3 ^ [], 3 ^ []), 160 : r1(3 ^ [], 3 ^ []), 156 : r1(3 ^ [], 3 ^ []), 152 : r1(3 ^ [], 3 ^ [])],extension(148 ^ 41,bind([[_80587, _80801, _81008, _81208, _81401], [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []]]))).
% 0.74/1.37 ncf('1.9.1.1.1',plain,[p4(3 ^ []), 133 : p5(3 ^ []), 133 : r1(3 ^ [], 3 ^ []), 123 : r1(3 ^ [], 3 ^ []), 119 : r1(3 ^ [], 3 ^ []), 115 : r1(3 ^ [], 3 ^ []), 111 : r1(3 ^ [], 3 ^ []), 107 : r1(3 ^ [], 3 ^ [])],extension(103 ^ 52,bind([[_78328, _78549, _78763, _78970, _79170, _79363], [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []]]))).
% 0.74/1.37 ncf('1.9.1.1.1.1',plain,[-(p5(3 ^ [])), -(p1(3 ^ []))],extension(82 ^ 65)).
% 0.74/1.37 ncf('1.9.1.1.1.1.1',plain,[p1(3 ^ [])],reduction('1')).
% 0.74/1.37 ncf('1.9.1.1.1.2',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 63,bind([[_72424], [3 ^ []]]))).
% 0.74/1.37 ncf('1.9.1.1.1.3',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 61,bind([[_72424], [3 ^ []]]))).
% 0.74/1.37 ncf('1.9.1.1.1.4',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 59,bind([[_72424], [3 ^ []]]))).
% 0.74/1.37 ncf('1.9.1.1.1.5',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 57,bind([[_72424], [3 ^ []]]))).
% 0.74/1.37 ncf('1.9.1.1.1.6',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 55,bind([[_72424], [3 ^ []]]))).
% 0.74/1.37 ncf('1.9.1.1.1.7',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 53,bind([[_72424], [3 ^ []]]))).
% 0.74/1.37 ncf('1.9.1.1.2',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 50,bind([[_72424], [3 ^ []]]))).
% 0.74/1.37 ncf('1.9.1.1.3',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 48,bind([[_72424], [3 ^ []]]))).
% 0.74/1.37 ncf('1.9.1.1.4',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 46,bind([[_72424], [3 ^ []]]))).
% 0.74/1.37 ncf('1.9.1.1.5',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 44,bind([[_72424], [3 ^ []]]))).
% 0.74/1.37 ncf('1.9.1.1.6',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 42,bind([[_72424], [3 ^ []]]))).
% 0.74/1.37 ncf('1.9.1.2',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 39,bind([[_72424], [3 ^ []]]))).
% 0.74/1.37 ncf('1.9.1.3',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 37,bind([[_72424], [3 ^ []]]))).
% 0.74/1.37 ncf('1.9.1.4',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 35,bind([[_72424], [3 ^ []]]))).
% 0.74/1.37 ncf('1.9.1.5',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 33,bind([[_72424], [3 ^ []]]))).
% 0.74/1.37 ncf('1.9.2',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 30,bind([[_72424], [3 ^ []]]))).
% 0.74/1.37 ncf('1.9.3',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 28,bind([[_72424], [3 ^ []]]))).
% 0.74/1.37 ncf('1.9.4',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 26,bind([[_72424], [3 ^ []]]))).
% 0.74/1.37 ncf('1.9.5',plain,[-(r1(3 ^ [], 3 ^ []))],lemmata('x')).
% 0.74/1.37 ncf('1.9.6',plain,[-(r1(3 ^ [], 3 ^ []))],lemmata('x')).
% 0.74/1.37 ncf('1.9.7',plain,[-(r1(3 ^ [], 3 ^ []))],lemmata('x')).
% 0.74/1.37 ncf('1.9.8',plain,[-(r1(3 ^ [], 3 ^ []))],lemmata('x')).
% 0.74/1.37 ncf('1.10',plain,[-(p5(3 ^ [])), 127 : -(p4(3 ^ [])), 127 : r1(3 ^ [], 3 ^ []), 123 : r1(3 ^ [], 3 ^ []), 119 : r1(3 ^ [], 3 ^ []), 115 : r1(3 ^ [], 3 ^ []), 111 : r1(3 ^ [], 3 ^ []), 107 : r1(3 ^ [], 3 ^ []), 103 : r1(3 ^ [], 3 ^ [])],extension(99 ^ 17,bind([[_77731, _78328, _78549, _78763, _78970, _79170, _79363], [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []]]))).
% 0.74/1.37 ncf('1.10.1',plain,[p4(3 ^ []), 174 : p3(3 ^ []), 174 : r1(3 ^ [], 3 ^ []), 164 : r1(3 ^ [], 3 ^ []), 160 : r1(3 ^ [], 3 ^ []), 156 : r1(3 ^ [], 3 ^ []), 152 : r1(3 ^ [], 3 ^ []), 148 : r1(3 ^ [], 3 ^ [])],extension(144 ^ 32,bind([[_80125, _80587, _80801, _81008, _81208, _81401], [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []]]))).
% 0.74/1.37 ncf('1.10.1.1',plain,[-(p3(3 ^ [])), 205 : -(p2(3 ^ [])), 205 : r1(3 ^ [], 3 ^ []), 201 : r1(3 ^ [], 3 ^ []), 197 : r1(3 ^ [], 3 ^ []), 193 : r1(3 ^ [], 3 ^ []), 189 : r1(3 ^ [], 3 ^ [])],extension(185 ^ 45,bind([[_82170, _82510, _82717, _82917, _83110], [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []]]))).
% 0.74/1.37 ncf('1.10.1.1.1',plain,[p2(3 ^ []), 244 : p1(3 ^ []), 244 : r1(3 ^ [], 3 ^ []), 234 : r1(3 ^ [], 3 ^ []), 230 : r1(3 ^ [], 3 ^ []), 226 : r1(3 ^ [], 3 ^ [])],extension(222 ^ 56,bind([[_83886, _84097, _84297, _84490], [3 ^ [], 3 ^ [], 3 ^ [], 3 ^ []]]))).
% 0.74/1.37 ncf('1.10.1.1.1.1',plain,[-(p1(3 ^ []))],lemmata('x')).
% 0.74/1.37 ncf('1.10.1.1.1.2',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 63,bind([[_72424], [3 ^ []]]))).
% 0.74/1.37 ncf('1.10.1.1.1.3',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 61,bind([[_72424], [3 ^ []]]))).
% 0.74/1.37 ncf('1.10.1.1.1.4',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 59,bind([[_72424], [3 ^ []]]))).
% 0.74/1.37 ncf('1.10.1.1.1.5',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 57,bind([[_72424], [3 ^ []]]))).
% 0.74/1.37 ncf('1.10.1.1.2',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 54,bind([[_72424], [3 ^ []]]))).
% 0.74/1.37 ncf('1.10.1.1.3',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 52,bind([[_72424], [3 ^ []]]))).
% 0.74/1.37 ncf('1.10.1.1.4',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 50,bind([[_72424], [3 ^ []]]))).
% 0.74/1.37 ncf('1.10.1.1.5',plain,[-(r1(3 ^ [], 3 ^ []))],lemmata('x')).
% 0.74/1.37 ncf('1.10.1.1.6',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 46,bind([[_72424], [3 ^ []]]))).
% 0.74/1.37 ncf('1.10.1.2',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 43,bind([[_72424], [3 ^ []]]))).
% 0.74/1.37 ncf('1.10.1.3',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 41,bind([[_72424], [3 ^ []]]))).
% 0.74/1.37 ncf('1.10.1.4',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 39,bind([[_72424], [3 ^ []]]))).
% 0.74/1.37 ncf('1.10.1.5',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 37,bind([[_72424], [3 ^ []]]))).
% 0.74/1.37 ncf('1.10.1.6',plain,[-(r1(3 ^ [], 3 ^ []))],lemmata('x')).
% 0.74/1.37 ncf('1.10.1.7',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 33,bind([[_72424], [3 ^ []]]))).
% 0.74/1.37 ncf('1.10.2',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 30,bind([[_72424], [3 ^ []]]))).
% 0.74/1.37 ncf('1.10.3',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 28,bind([[_72424], [3 ^ []]]))).
% 0.74/1.37 ncf('1.10.4',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 26,bind([[_72424], [3 ^ []]]))).
% 0.74/1.37 ncf('1.10.5',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 24,bind([[_72424], [3 ^ []]]))).
% 0.74/1.37 ncf('1.10.6',plain,[-(r1(3 ^ [], 3 ^ []))],extension(2 ^ 22,bind([[_72424], [3 ^ []]]))).
% 0.74/1.37 ncf('1.10.7',plain,[-(r1(3 ^ [], 3 ^ []))],lemmata('x')).
% 0.74/1.37 ncf('1.10.8',plain,[-(r1(3 ^ [], 3 ^ []))],lemmata('x')).
% 0.74/1.37 %-----------------------------------------------------
% 0.74/1.37 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------