TSTP Solution File: NUN066+2 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUN066+2 : 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 11:46:29 EDT 2023
% Result : Theorem 43.14s 42.70s
% Output : Proof 43.14s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUN066+2 : TPTP v8.1.2. Released v7.3.0.
% 0.11/0.13 % Command : nanocop.sh %s %d
% 0.13/0.33 % Computer : n012.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu May 18 21:11:47 EDT 2023
% 0.13/0.34 % CPUTime :
% 43.14/42.70
% 43.14/42.70 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 43.14/42.70 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 43.14/42.70 %-----------------------------------------------------
% 43.14/42.70 ncf(matrix, plain, [(208 ^ _56975) ^ [_57020] : [212 ^ _56975 : [(215 ^ _56975) ^ [] : [-(r2(211 ^ [_57020], 210 ^ [_57020]))], (217 ^ _56975) ^ [] : [-(r2(210 ^ [_57020], 209 ^ [_57020]))], (219 ^ _56975) ^ [] : [-(_57020 = 209 ^ [_57020])], (213 ^ _56975) ^ [] : [-(r1(211 ^ [_57020]))]], 221 ^ _56975 : [(224 ^ _56975) ^ [] : [-(_57020 = 220 ^ [_57020])], (222 ^ _56975) ^ [] : [-(r1(220 ^ [_57020]))]]], !, (176 ^ _48850) ^ [_55742] : [-(r1(174 ^ [_55742]))], (143 ^ _48850) ^ [_54341, _54343] : [-(r4(_54343, 139 ^ [_54341, _54343], 138 ^ [_54341, _54343]))], (114 ^ _48850) ^ [_52946, _52948, _52950] : [115 ^ _48850 : [(118 ^ _48850) ^ [] : [_52946 = 112 ^ [_52948, _52950]], (116 ^ _48850) ^ [] : [r4(_52950, _52948, _52946)]], 119 ^ _48850 : [(122 ^ _48850) ^ [] : [-(_52946 = 112 ^ [_52948, _52950])], (120 ^ _48850) ^ [] : [-(r4(_52950, _52948, _52946))]]], (81 ^ _48850) ^ [_51575] : [82 ^ _48850 : [(85 ^ _48850) ^ [] : [_51575 = 79 ^ []], (83 ^ _48850) ^ [] : [r1(_51575)]], 86 ^ _48850 : [(89 ^ _48850) ^ [] : [-(_51575 = 79 ^ [])], (87 ^ _48850) ^ [] : [-(r1(_51575))]]], (134 ^ _48850) ^ [_53854, _53856] : [-(r2(132 ^ [_53854, _53856], 123 ^ [_53854, _53856]))], (198 ^ _48850) ^ [_56592, _56594] : [r2(_56594, _56592), 199 ^ _48850 : [(200 ^ _48850) ^ [_56689] : [r1(_56689), _56689 = _56592]]], (56 ^ _48850) ^ [_50824, _50826, _50828, _50830] : [-(r2(_50828, _50824)), r2(_50830, _50826), _50830 = _50828, _50826 = _50824], (150 ^ _48850) ^ [_54605, _54607] : [-(r4(_54607, _54605, 146 ^ [_54605, _54607]))], (185 ^ _48850) ^ [_56073] : [187 ^ _48850 : [(190 ^ _48850) ^ [] : [-(_56073 = 186 ^ [_56073])], (188 ^ _48850) ^ [] : [-(r1(186 ^ [_56073]))]], 193 ^ _48850 : [(196 ^ _48850) ^ [] : [-(_56073 = 192 ^ [_56073])], (194 ^ _48850) ^ [] : [-(r2(191 ^ [_56073], 192 ^ [_56073]))]]], (181 ^ _48850) ^ [_55916] : [-(r1(179 ^ [_55916]))], (70 ^ _48850) ^ [_51220, _51222] : [-(r1(_51220)), _51222 = _51220, r1(_51222)], (168 ^ _48850) ^ [_55394] : [-(r1(166 ^ [_55394]))], (183 ^ _48850) ^ [_55964] : [-(173 ^ [_55964] = 179 ^ [_55964])], (4 ^ _48850) ^ [_49061, _49063] : [_49063 = _49061, -(_49061 = _49063)], (172 ^ _48850) ^ [_55499] : [-(165 ^ [_55499] = _55499)], (170 ^ _48850) ^ [_55442] : [-(r3(_55442, 166 ^ [_55442], 165 ^ [_55442]))], (152 ^ _48850) ^ [_54730, _54732] : [-(_54732 = _54730), 153 ^ _48850 : [(154 ^ _48850) ^ [_54839] : [r2(_54730, _54839), 155 ^ _48850 : [(156 ^ _48850) ^ [_54943] : [r2(_54732, _54943), _54943 = _54839]]]]], (103 ^ _48850) ^ [_52457, _52459, _52461] : [104 ^ _48850 : [(107 ^ _48850) ^ [] : [_52457 = 101 ^ [_52459, _52461]], (105 ^ _48850) ^ [] : [r3(_52461, _52459, _52457)]], 108 ^ _48850 : [(111 ^ _48850) ^ [] : [-(_52457 = 101 ^ [_52459, _52461])], (109 ^ _48850) ^ [] : [-(r3(_52461, _52459, _52457))]]], (127 ^ _48850) ^ [_53599, _53601] : [-(r2(_53599, 125 ^ [_53599, _53601]))], (92 ^ _48850) ^ [_51990, _51992] : [93 ^ _48850 : [(96 ^ _48850) ^ [] : [_51990 = 90 ^ [_51992]], (94 ^ _48850) ^ [] : [r2(_51992, _51990)]], 97 ^ _48850 : [(100 ^ _48850) ^ [] : [-(_51990 = 90 ^ [_51992])], (98 ^ _48850) ^ [] : [-(r2(_51992, _51990))]]], (145 ^ _48850) ^ [_54404, _54406] : [-(138 ^ [_54404, _54406] = 137 ^ [_54404, _54406])], (38 ^ _48850) ^ [_50243, _50245, _50247, _50249, _50251, _50253] : [-(r4(_50251, _50247, _50243)), r4(_50253, _50249, _50245), _50253 = _50251, _50249 = _50247, _50245 = _50243], (131 ^ _48850) ^ [_53715, _53717] : [-(124 ^ [_53715, _53717] = 123 ^ [_53715, _53717])], (10 ^ _48850) ^ [_49265, _49267, _49269] : [-(_49269 = _49265), _49269 = _49267, _49267 = _49265], (2 ^ _48850) ^ [_48954] : [-(_48954 = _48954)], (178 ^ _48850) ^ [_55790] : [-(r4(_55790, 174 ^ [_55790], 173 ^ [_55790]))], (20 ^ _48850) ^ [_49634, _49636, _49638, _49640, _49642, _49644] : [-(r3(_49642, _49638, _49634)), r3(_49644, _49640, _49636), _49644 = _49642, _49640 = _49638, _49636 = _49634], (141 ^ _48850) ^ [_54288, _54290] : [-(r2(_54288, 139 ^ [_54288, _54290]))], (148 ^ _48850) ^ [_54544, _54546] : [-(r3(146 ^ [_54544, _54546], _54546, 137 ^ [_54544, _54546]))], (129 ^ _48850) ^ [_53652, _53654] : [-(r3(_53654, 125 ^ [_53652, _53654], 124 ^ [_53652, _53654]))], (136 ^ _48850) ^ [_53914, _53916] : [-(r3(_53916, _53914, 132 ^ [_53914, _53916]))]], input).
% 43.14/42.70 ncf('1',plain,[215 : -(r2(211 ^ [125 ^ [79 ^ [], _34417]], 210 ^ [125 ^ [79 ^ [], _34417]])), 224 : -(125 ^ [79 ^ [], _34417] = 220 ^ [125 ^ [79 ^ [], _34417]])],start(208 ^ 0,bind([[_57020], [125 ^ [79 ^ [], _34417]]]))).
% 43.14/42.70 ncf('1.1',plain,[r2(211 ^ [125 ^ [79 ^ [], _34417]], 210 ^ [125 ^ [79 ^ [], _34417]]), 200 : r1(211 ^ [125 ^ [79 ^ [], _34417]]), 200 : 211 ^ [125 ^ [79 ^ [], _34417]] = 210 ^ [125 ^ [79 ^ [], _34417]]],extension(198 ^ 3,bind([[_56592, _56594, _56689], [210 ^ [125 ^ [79 ^ [], _34417]], 211 ^ [125 ^ [79 ^ [], _34417]], 211 ^ [125 ^ [79 ^ [], _34417]]]]))).
% 43.14/42.70 ncf('1.1.1',plain,[-(r1(211 ^ [125 ^ [79 ^ [], _34417]]))],extension(213 ^ 6)).
% 43.14/42.70 ncf('1.1.2',plain,[-(211 ^ [125 ^ [79 ^ [], _34417]] = 210 ^ [125 ^ [79 ^ [], _34417]]), 211 ^ [125 ^ [79 ^ [], _34417]] = 79 ^ [], 79 ^ [] = 210 ^ [125 ^ [79 ^ [], _34417]]],extension(10 ^ 6,bind([[_49265, _49267, _49269], [210 ^ [125 ^ [79 ^ [], _34417]], 79 ^ [], 211 ^ [125 ^ [79 ^ [], _34417]]]]))).
% 43.14/42.70 ncf('1.1.2.1',plain,[-(211 ^ [125 ^ [79 ^ [], _34417]] = 79 ^ []), 83 : r1(211 ^ [125 ^ [79 ^ [], _34417]])],extension(81 ^ 7,bind([[_51575], [211 ^ [125 ^ [79 ^ [], _34417]]]]))).
% 43.14/42.70 ncf('1.1.2.1.1',plain,[-(r1(211 ^ [125 ^ [79 ^ [], _34417]]))],lemmata('[1].x')).
% 43.14/42.70 ncf('1.1.2.2',plain,[-(79 ^ [] = 210 ^ [125 ^ [79 ^ [], _34417]]), 154 : r2(210 ^ [125 ^ [79 ^ [], _34417]], 209 ^ [125 ^ [79 ^ [], _34417]]), 156 : r2(79 ^ [], 125 ^ [79 ^ [], _34417]), 156 : 125 ^ [79 ^ [], _34417] = 209 ^ [125 ^ [79 ^ [], _34417]]],extension(152 ^ 7,bind([[_54730, _54732, _54839, _54943], [210 ^ [125 ^ [79 ^ [], _34417]], 79 ^ [], 209 ^ [125 ^ [79 ^ [], _34417]], 125 ^ [79 ^ [], _34417]]]))).
% 43.14/42.70 ncf('1.1.2.2.1',plain,[-(r2(210 ^ [125 ^ [79 ^ [], _34417]], 209 ^ [125 ^ [79 ^ [], _34417]]))],extension(217 ^ 10)).
% 43.14/42.70 ncf('1.1.2.2.2',plain,[-(r2(79 ^ [], 125 ^ [79 ^ [], _34417]))],extension(127 ^ 12,bind([[_53599, _53601], [79 ^ [], _34417]]))).
% 43.14/42.70 ncf('1.1.2.2.3',plain,[-(125 ^ [79 ^ [], _34417] = 209 ^ [125 ^ [79 ^ [], _34417]])],extension(219 ^ 12)).
% 43.14/42.70 ncf('1.2',plain,[125 ^ [79 ^ [], _34417] = 220 ^ [125 ^ [79 ^ [], _34417]], -(r2(79 ^ [], 220 ^ [125 ^ [79 ^ [], _34417]])), r2(79 ^ [], 125 ^ [79 ^ [], _34417]), 79 ^ [] = 79 ^ []],extension(56 ^ 3,bind([[_50824, _50826, _50828, _50830], [220 ^ [125 ^ [79 ^ [], _34417]], 125 ^ [79 ^ [], _34417], 79 ^ [], 79 ^ []]]))).
% 43.14/42.70 ncf('1.2.1',plain,[r2(79 ^ [], 220 ^ [125 ^ [79 ^ [], _34417]]), 200 : r1(220 ^ [125 ^ [79 ^ [], _34417]]), 200 : 220 ^ [125 ^ [79 ^ [], _34417]] = 220 ^ [125 ^ [79 ^ [], _34417]]],extension(198 ^ 4,bind([[_56592, _56594, _56689], [220 ^ [125 ^ [79 ^ [], _34417]], 79 ^ [], 220 ^ [125 ^ [79 ^ [], _34417]]]]))).
% 43.14/42.70 ncf('1.2.1.1',plain,[-(r1(220 ^ [125 ^ [79 ^ [], _34417]]))],extension(222 ^ 7)).
% 43.14/42.70 ncf('1.2.1.2',plain,[-(220 ^ [125 ^ [79 ^ [], _34417]] = 220 ^ [125 ^ [79 ^ [], _34417]]), 220 ^ [125 ^ [79 ^ [], _34417]] = 79 ^ [], 79 ^ [] = 220 ^ [125 ^ [79 ^ [], _34417]]],extension(10 ^ 7,bind([[_49265, _49267, _49269], [220 ^ [125 ^ [79 ^ [], _34417]], 79 ^ [], 220 ^ [125 ^ [79 ^ [], _34417]]]]))).
% 43.14/42.70 ncf('1.2.1.2.1',plain,[-(220 ^ [125 ^ [79 ^ [], _34417]] = 79 ^ []), 83 : r1(220 ^ [125 ^ [79 ^ [], _34417]])],extension(81 ^ 8,bind([[_51575], [220 ^ [125 ^ [79 ^ [], _34417]]]]))).
% 43.14/42.70 ncf('1.2.1.2.1.1',plain,[-(r1(220 ^ [125 ^ [79 ^ [], _34417]]))],lemmata('[2, 1].x')).
% 43.14/42.70 ncf('1.2.1.2.2',plain,[-(79 ^ [] = 220 ^ [125 ^ [79 ^ [], _34417]]), 220 ^ [125 ^ [79 ^ [], _34417]] = 79 ^ []],extension(4 ^ 8,bind([[_49061, _49063], [79 ^ [], 220 ^ [125 ^ [79 ^ [], _34417]]]]))).
% 43.14/42.70 ncf('1.2.1.2.2.1',plain,[-(220 ^ [125 ^ [79 ^ [], _34417]] = 79 ^ [])],lemmata('[1, 2, 1].x')).
% 43.14/42.70 ncf('1.2.2',plain,[-(r2(79 ^ [], 125 ^ [79 ^ [], _34417]))],extension(127 ^ 4,bind([[_53599, _53601], [79 ^ [], _34417]]))).
% 43.14/42.70 ncf('1.2.3',plain,[-(79 ^ [] = 79 ^ []), 83 : r1(79 ^ [])],extension(81 ^ 4,bind([[_51575], [79 ^ []]]))).
% 43.14/42.70 ncf('1.2.3.1',plain,[-(r1(79 ^ [])), 165 ^ [79 ^ []] = 79 ^ [], r1(165 ^ [79 ^ []])],extension(70 ^ 7,bind([[_51220, _51222], [79 ^ [], 165 ^ [79 ^ []]]]))).
% 43.14/42.70 ncf('1.2.3.1.1',plain,[-(165 ^ [79 ^ []] = 79 ^ [])],extension(172 ^ 8,bind([[_55499], [79 ^ []]]))).
% 43.14/42.70 ncf('1.2.3.1.2',plain,[-(r1(165 ^ [79 ^ []])), 85 : 165 ^ [79 ^ []] = 79 ^ []],extension(81 ^ 8,bind([[_51575], [165 ^ [79 ^ []]]]))).
% 43.14/42.70 ncf('1.2.3.1.2.1',plain,[-(165 ^ [79 ^ []] = 79 ^ [])],lemmata('[3, 2, 1].x')).
% 43.14/42.70 %-----------------------------------------------------
% 43.14/42.70 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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