TSTP Solution File: NUN081+2 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUN081+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n022.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 11:46:32 EDT 2023
% Result : Theorem 0.47s 1.38s
% Output : Proof 0.47s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUN081+2 : TPTP v8.1.2. Released v7.3.0.
% 0.03/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n022.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 21:13:47 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.47/1.38
% 0.47/1.38 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.47/1.38 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/1.38 %-----------------------------------------------------
% 0.47/1.38 ncf(matrix, plain, [(208 ^ _42703) ^ [_50921, _50923, _50925] : [r3(_50925, _50923, _50921), 211 ^ _42703 : [(212 ^ _42703) ^ [_51096] : [_50921 = _51096, 215 ^ _42703 : [(216 ^ _42703) ^ [_51268] : [r2(_51268, _51096), 219 ^ _42703 : [(220 ^ _42703) ^ [_51435] : [r2(_51435, _51268), 223 ^ _42703 : [(224 ^ _42703) ^ [_51597] : [r1(_51597), r2(_51597, _51435)]]]]]]]]], (81 ^ _42703) ^ [_45448] : [82 ^ _42703 : [(83 ^ _42703) ^ [] : [r1(_45448)], (85 ^ _42703) ^ [] : [_45448 = 79 ^ []]], 86 ^ _42703 : [(87 ^ _42703) ^ [] : [-(r1(_45448))], (89 ^ _42703) ^ [] : [-(_45448 = 79 ^ [])]]], (92 ^ _42703) ^ [_45863, _45865] : [93 ^ _42703 : [(94 ^ _42703) ^ [] : [r2(_45865, _45863)], (96 ^ _42703) ^ [] : [_45863 = 90 ^ [_45865]]], 97 ^ _42703 : [(98 ^ _42703) ^ [] : [-(r2(_45865, _45863))], (100 ^ _42703) ^ [] : [-(_45863 = 90 ^ [_45865])]]], (103 ^ _42703) ^ [_46330, _46332, _46334] : [104 ^ _42703 : [(105 ^ _42703) ^ [] : [r3(_46334, _46332, _46330)], (107 ^ _42703) ^ [] : [_46330 = 101 ^ [_46332, _46334]]], 108 ^ _42703 : [(109 ^ _42703) ^ [] : [-(r3(_46334, _46332, _46330))], (111 ^ _42703) ^ [] : [-(_46330 = 101 ^ [_46332, _46334])]]], (114 ^ _42703) ^ [_46819, _46821, _46823] : [115 ^ _42703 : [(116 ^ _42703) ^ [] : [r4(_46823, _46821, _46819)], (118 ^ _42703) ^ [] : [_46819 = 112 ^ [_46821, _46823]]], 119 ^ _42703 : [(120 ^ _42703) ^ [] : [-(r4(_46823, _46821, _46819))], (122 ^ _42703) ^ [] : [-(_46819 = 112 ^ [_46821, _46823])]]], (127 ^ _42703) ^ [_47472, _47474] : [-(r2(_47472, 125 ^ [_47472, _47474]))], (129 ^ _42703) ^ [_47525, _47527] : [-(r3(_47527, 125 ^ [_47525, _47527], 124 ^ [_47525, _47527]))], (131 ^ _42703) ^ [_47588, _47590] : [-(124 ^ [_47588, _47590] = 123 ^ [_47588, _47590])], (134 ^ _42703) ^ [_47727, _47729] : [-(r2(132 ^ [_47727, _47729], 123 ^ [_47727, _47729]))], (136 ^ _42703) ^ [_47787, _47789] : [-(r3(_47789, _47787, 132 ^ [_47787, _47789]))], (141 ^ _42703) ^ [_48161, _48163] : [-(r2(_48161, 139 ^ [_48161, _48163]))], (143 ^ _42703) ^ [_48214, _48216] : [-(r4(_48216, 139 ^ [_48214, _48216], 138 ^ [_48214, _48216]))], (145 ^ _42703) ^ [_48277, _48279] : [-(138 ^ [_48277, _48279] = 137 ^ [_48277, _48279])], (148 ^ _42703) ^ [_48417, _48419] : [-(r3(146 ^ [_48417, _48419], _48419, 137 ^ [_48417, _48419]))], (150 ^ _42703) ^ [_48478, _48480] : [-(r4(_48480, _48478, 146 ^ [_48478, _48480]))], (152 ^ _42703) ^ [_48603, _48605] : [-(_48605 = _48603), 153 ^ _42703 : [(154 ^ _42703) ^ [_48712] : [r2(_48603, _48712), 155 ^ _42703 : [(156 ^ _42703) ^ [_48816] : [r2(_48605, _48816), _48816 = _48712]]]]], (168 ^ _42703) ^ [_49267] : [-(r1(166 ^ [_49267]))], (170 ^ _42703) ^ [_49315] : [-(r3(_49315, 166 ^ [_49315], 165 ^ [_49315]))], (172 ^ _42703) ^ [_49372] : [-(165 ^ [_49372] = _49372)], (176 ^ _42703) ^ [_49615] : [-(r1(174 ^ [_49615]))], (178 ^ _42703) ^ [_49663] : [-(r4(_49663, 174 ^ [_49663], 173 ^ [_49663]))], (181 ^ _42703) ^ [_49789] : [-(r1(179 ^ [_49789]))], (183 ^ _42703) ^ [_49837] : [-(173 ^ [_49837] = 179 ^ [_49837])], (185 ^ _42703) ^ [_49946] : [187 ^ _42703 : [(188 ^ _42703) ^ [] : [-(r1(186 ^ [_49946]))], (190 ^ _42703) ^ [] : [-(_49946 = 186 ^ [_49946])]], 193 ^ _42703 : [(194 ^ _42703) ^ [] : [-(r2(191 ^ [_49946], 192 ^ [_49946]))], (196 ^ _42703) ^ [] : [-(_49946 = 192 ^ [_49946])]]], (198 ^ _42703) ^ [_50465, _50467] : [r2(_50467, _50465), 199 ^ _42703 : [(200 ^ _42703) ^ [_50562] : [r1(_50562), _50562 = _50465]]], (2 ^ _42703) ^ [_42827] : [-(_42827 = _42827)], (4 ^ _42703) ^ [_42934, _42936] : [_42936 = _42934, -(_42934 = _42936)], (10 ^ _42703) ^ [_43138, _43140, _43142] : [-(_43142 = _43138), _43142 = _43140, _43140 = _43138], (20 ^ _42703) ^ [_43507, _43509, _43511, _43513, _43515, _43517] : [-(r4(_43515, _43511, _43507)), r4(_43517, _43513, _43509), _43517 = _43515, _43513 = _43511, _43509 = _43507], (38 ^ _42703) ^ [_44116, _44118, _44120, _44122, _44124, _44126] : [-(r3(_44124, _44120, _44116)), r3(_44126, _44122, _44118), _44126 = _44124, _44122 = _44120, _44118 = _44116], (56 ^ _42703) ^ [_44669, _44671] : [-(r1(_44669)), _44671 = _44669, r1(_44671)], (66 ^ _42703) ^ [_44972, _44974, _44976, _44978] : [-(r2(_44976, _44972)), r2(_44978, _44974), _44978 = _44976, _44974 = _44972]], input).
% 0.47/1.38 ncf('1',plain,[r3(125 ^ [125 ^ [125 ^ [166 ^ [_30858], _31011], _30733], _30606], 166 ^ [125 ^ [125 ^ [125 ^ [166 ^ [_30858], _31011], _30733], _30606]], 165 ^ [125 ^ [125 ^ [125 ^ [166 ^ [_30858], _31011], _30733], _30606]]), 212 : 165 ^ [125 ^ [125 ^ [125 ^ [166 ^ [_30858], _31011], _30733], _30606]] = 125 ^ [125 ^ [125 ^ [166 ^ [_30858], _31011], _30733], _30606], 216 : r2(125 ^ [125 ^ [166 ^ [_30858], _31011], _30733], 125 ^ [125 ^ [125 ^ [166 ^ [_30858], _31011], _30733], _30606]), 220 : r2(125 ^ [166 ^ [_30858], _31011], 125 ^ [125 ^ [166 ^ [_30858], _31011], _30733]), 224 : r1(166 ^ [_30858]), 224 : r2(166 ^ [_30858], 125 ^ [166 ^ [_30858], _31011])],start(208 ^ 0,bind([[_50921, _50923, _50925, _51096, _51268, _51435, _51597], [165 ^ [125 ^ [125 ^ [125 ^ [166 ^ [_30858], _31011], _30733], _30606]], 166 ^ [125 ^ [125 ^ [125 ^ [166 ^ [_30858], _31011], _30733], _30606]], 125 ^ [125 ^ [125 ^ [166 ^ [_30858], _31011], _30733], _30606], 125 ^ [125 ^ [125 ^ [166 ^ [_30858], _31011], _30733], _30606], 125 ^ [125 ^ [166 ^ [_30858], _31011], _30733], 125 ^ [166 ^ [_30858], _31011], 166 ^ [_30858]]]))).
% 0.47/1.38 ncf('1.1',plain,[-(r3(125 ^ [125 ^ [125 ^ [166 ^ [_30858], _31011], _30733], _30606], 166 ^ [125 ^ [125 ^ [125 ^ [166 ^ [_30858], _31011], _30733], _30606]], 165 ^ [125 ^ [125 ^ [125 ^ [166 ^ [_30858], _31011], _30733], _30606]]))],extension(170 ^ 1,bind([[_49315], [125 ^ [125 ^ [125 ^ [166 ^ [_30858], _31011], _30733], _30606]]]))).
% 0.47/1.38 ncf('1.2',plain,[-(165 ^ [125 ^ [125 ^ [125 ^ [166 ^ [_30858], _31011], _30733], _30606]] = 125 ^ [125 ^ [125 ^ [166 ^ [_30858], _31011], _30733], _30606])],extension(172 ^ 3,bind([[_49372], [125 ^ [125 ^ [125 ^ [166 ^ [_30858], _31011], _30733], _30606]]]))).
% 0.47/1.38 ncf('1.3',plain,[-(r2(125 ^ [125 ^ [166 ^ [_30858], _31011], _30733], 125 ^ [125 ^ [125 ^ [166 ^ [_30858], _31011], _30733], _30606]))],extension(127 ^ 5,bind([[_47472, _47474], [125 ^ [125 ^ [166 ^ [_30858], _31011], _30733], _30606]]))).
% 0.47/1.38 ncf('1.4',plain,[-(r2(125 ^ [166 ^ [_30858], _31011], 125 ^ [125 ^ [166 ^ [_30858], _31011], _30733]))],extension(127 ^ 7,bind([[_47472, _47474], [125 ^ [166 ^ [_30858], _31011], _30733]]))).
% 0.47/1.38 ncf('1.5',plain,[-(r1(166 ^ [_30858]))],extension(168 ^ 9,bind([[_49267], [_30858]]))).
% 0.47/1.38 ncf('1.6',plain,[-(r2(166 ^ [_30858], 125 ^ [166 ^ [_30858], _31011]))],extension(127 ^ 9,bind([[_47472, _47474], [166 ^ [_30858], _31011]]))).
% 0.47/1.38 %-----------------------------------------------------
% 0.47/1.38 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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