TSTP Solution File: NUN065+2 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUN065+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n016.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 0.98s 1.35s
% Output : Proof 0.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUN065+2 : TPTP v8.1.2. Released v7.3.0.
% 0.03/0.11 % Command : nanocop.sh %s %d
% 0.10/0.32 % Computer : n016.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Thu May 18 21:41:56 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.98/1.35
% 0.98/1.35 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.98/1.35 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.98/1.35 %-----------------------------------------------------
% 0.98/1.35 ncf(matrix, plain, [(208 ^ _55167) ^ [_63357] : [211 ^ _55167 : [(212 ^ _55167) ^ [] : [-(r1(210 ^ [_63357]))], (214 ^ _55167) ^ [] : [-(r2(210 ^ [_63357], 209 ^ [_63357]))], (216 ^ _55167) ^ [] : [-(_63357 = 209 ^ [_63357])]], 218 ^ _55167 : [(219 ^ _55167) ^ [] : [-(r1(217 ^ [_63357]))], (221 ^ _55167) ^ [] : [-(_63357 = 217 ^ [_63357])]]], (81 ^ _55167) ^ [_57912] : [82 ^ _55167 : [(83 ^ _55167) ^ [] : [r1(_57912)], (85 ^ _55167) ^ [] : [_57912 = 79 ^ []]], 86 ^ _55167 : [(87 ^ _55167) ^ [] : [-(r1(_57912))], (89 ^ _55167) ^ [] : [-(_57912 = 79 ^ [])]]], (92 ^ _55167) ^ [_58327, _58329] : [93 ^ _55167 : [(94 ^ _55167) ^ [] : [r2(_58329, _58327)], (96 ^ _55167) ^ [] : [_58327 = 90 ^ [_58329]]], 97 ^ _55167 : [(98 ^ _55167) ^ [] : [-(r2(_58329, _58327))], (100 ^ _55167) ^ [] : [-(_58327 = 90 ^ [_58329])]]], (103 ^ _55167) ^ [_58794, _58796, _58798] : [104 ^ _55167 : [(105 ^ _55167) ^ [] : [r3(_58798, _58796, _58794)], (107 ^ _55167) ^ [] : [_58794 = 101 ^ [_58796, _58798]]], 108 ^ _55167 : [(109 ^ _55167) ^ [] : [-(r3(_58798, _58796, _58794))], (111 ^ _55167) ^ [] : [-(_58794 = 101 ^ [_58796, _58798])]]], (114 ^ _55167) ^ [_59283, _59285, _59287] : [115 ^ _55167 : [(116 ^ _55167) ^ [] : [r4(_59287, _59285, _59283)], (118 ^ _55167) ^ [] : [_59283 = 112 ^ [_59285, _59287]]], 119 ^ _55167 : [(120 ^ _55167) ^ [] : [-(r4(_59287, _59285, _59283))], (122 ^ _55167) ^ [] : [-(_59283 = 112 ^ [_59285, _59287])]]], (127 ^ _55167) ^ [_59936, _59938] : [-(r2(_59936, 125 ^ [_59936, _59938]))], (129 ^ _55167) ^ [_59989, _59991] : [-(r3(_59991, 125 ^ [_59989, _59991], 124 ^ [_59989, _59991]))], (131 ^ _55167) ^ [_60052, _60054] : [-(124 ^ [_60052, _60054] = 123 ^ [_60052, _60054])], (134 ^ _55167) ^ [_60191, _60193] : [-(r2(132 ^ [_60191, _60193], 123 ^ [_60191, _60193]))], (136 ^ _55167) ^ [_60251, _60253] : [-(r3(_60253, _60251, 132 ^ [_60251, _60253]))], (141 ^ _55167) ^ [_60625, _60627] : [-(r2(_60625, 139 ^ [_60625, _60627]))], (143 ^ _55167) ^ [_60678, _60680] : [-(r4(_60680, 139 ^ [_60678, _60680], 138 ^ [_60678, _60680]))], (145 ^ _55167) ^ [_60741, _60743] : [-(138 ^ [_60741, _60743] = 137 ^ [_60741, _60743])], (148 ^ _55167) ^ [_60881, _60883] : [-(r3(146 ^ [_60881, _60883], _60883, 137 ^ [_60881, _60883]))], (150 ^ _55167) ^ [_60942, _60944] : [-(r4(_60944, _60942, 146 ^ [_60942, _60944]))], (152 ^ _55167) ^ [_61067, _61069] : [-(_61069 = _61067), 153 ^ _55167 : [(154 ^ _55167) ^ [_61176] : [r2(_61067, _61176), 155 ^ _55167 : [(156 ^ _55167) ^ [_61280] : [r2(_61069, _61280), _61280 = _61176]]]]], (168 ^ _55167) ^ [_61731] : [-(r1(166 ^ [_61731]))], (170 ^ _55167) ^ [_61779] : [-(r3(_61779, 166 ^ [_61779], 165 ^ [_61779]))], (172 ^ _55167) ^ [_61836] : [-(165 ^ [_61836] = _61836)], (176 ^ _55167) ^ [_62079] : [-(r1(174 ^ [_62079]))], (178 ^ _55167) ^ [_62127] : [-(r4(_62127, 174 ^ [_62127], 173 ^ [_62127]))], (181 ^ _55167) ^ [_62253] : [-(r1(179 ^ [_62253]))], (183 ^ _55167) ^ [_62301] : [-(173 ^ [_62301] = 179 ^ [_62301])], (185 ^ _55167) ^ [_62410] : [187 ^ _55167 : [(188 ^ _55167) ^ [] : [-(r1(186 ^ [_62410]))], (190 ^ _55167) ^ [] : [-(_62410 = 186 ^ [_62410])]], 193 ^ _55167 : [(194 ^ _55167) ^ [] : [-(r2(191 ^ [_62410], 192 ^ [_62410]))], (196 ^ _55167) ^ [] : [-(_62410 = 192 ^ [_62410])]]], (198 ^ _55167) ^ [_62929, _62931] : [r2(_62931, _62929), 199 ^ _55167 : [(200 ^ _55167) ^ [_63026] : [r1(_63026), _63026 = _62929]]], (2 ^ _55167) ^ [_55291] : [-(_55291 = _55291)], (4 ^ _55167) ^ [_55398, _55400] : [_55400 = _55398, -(_55398 = _55400)], (10 ^ _55167) ^ [_55602, _55604, _55606] : [-(_55606 = _55602), _55606 = _55604, _55604 = _55602], (20 ^ _55167) ^ [_55971, _55973, _55975, _55977, _55979, _55981] : [-(r3(_55979, _55975, _55971)), r3(_55981, _55977, _55973), _55981 = _55979, _55977 = _55975, _55973 = _55971], (38 ^ _55167) ^ [_56580, _56582, _56584, _56586, _56588, _56590] : [-(r4(_56588, _56584, _56580)), r4(_56590, _56586, _56582), _56590 = _56588, _56586 = _56584, _56582 = _56580], (70 ^ _55167) ^ [_57557, _57559] : [-(r1(_57557)), _57559 = _57557, r1(_57559)], (56 ^ _55167) ^ [_57161, _57163, _57165, _57167] : [-(r2(_57165, _57161)), r2(_57167, _57163), _57167 = _57165, _57163 = _57161]], input).
% 0.98/1.35 ncf('1',plain,[r2(210 ^ [90 ^ [79 ^ []]], 209 ^ [90 ^ [79 ^ []]]), 200 : r1(210 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]), 200 : 210 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]] = 209 ^ [90 ^ [79 ^ []]]],start(198 ^ 0,bind([[_62929, _62931, _63026], [209 ^ [90 ^ [79 ^ []]], 210 ^ [90 ^ [79 ^ []]], 210 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]]))).
% 0.98/1.35 ncf('1.1',plain,[-(r2(210 ^ [90 ^ [79 ^ []]], 209 ^ [90 ^ [79 ^ []]])), 219 : -(r1(217 ^ [90 ^ [79 ^ []]]))],extension(208 ^ 1,bind([[_63357], [90 ^ [79 ^ []]]]))).
% 0.98/1.35 ncf('1.1.1',plain,[r1(217 ^ [90 ^ [79 ^ []]]), 89 : -(217 ^ [90 ^ [79 ^ []]] = 79 ^ [])],extension(81 ^ 4,bind([[_57912], [217 ^ [90 ^ [79 ^ []]]]]))).
% 0.98/1.35 ncf('1.1.1.1',plain,[217 ^ [90 ^ [79 ^ []]] = 79 ^ [], 156 : r2(79 ^ [], 217 ^ [90 ^ [79 ^ []]]), 156 : r2(79 ^ [], 79 ^ []), 154 : -(79 ^ [] = 79 ^ [])],extension(152 ^ 7,bind([[_61067, _61069, _61176, _61280], [79 ^ [], 79 ^ [], 79 ^ [], 217 ^ [90 ^ [79 ^ []]]]]))).
% 0.98/1.35 ncf('1.1.1.1.1',plain,[-(r2(79 ^ [], 217 ^ [90 ^ [79 ^ []]])), 96 : 217 ^ [90 ^ [79 ^ []]] = 90 ^ [79 ^ []]],extension(92 ^ 12,bind([[_58327, _58329], [217 ^ [90 ^ [79 ^ []]], 79 ^ []]]))).
% 0.98/1.35 ncf('1.1.1.1.1.1',plain,[-(217 ^ [90 ^ [79 ^ []]] = 90 ^ [79 ^ []]), 90 ^ [79 ^ []] = 217 ^ [90 ^ [79 ^ []]]],extension(4 ^ 15,bind([[_55398, _55400], [217 ^ [90 ^ [79 ^ []]], 90 ^ [79 ^ []]]]))).
% 0.98/1.35 ncf('1.1.1.1.1.1.1',plain,[-(90 ^ [79 ^ []] = 217 ^ [90 ^ [79 ^ []]])],extension(221 ^ 16)).
% 0.98/1.35 ncf('1.1.1.1.2',plain,[-(r2(79 ^ [], 79 ^ [])), 96 : 79 ^ [] = 90 ^ [79 ^ []]],extension(92 ^ 10,bind([[_58327, _58329], [79 ^ [], 79 ^ []]]))).
% 0.98/1.35 ncf('1.1.1.1.2.1',plain,[-(79 ^ [] = 90 ^ [79 ^ []]), 90 ^ [79 ^ []] = 79 ^ []],extension(4 ^ 13,bind([[_55398, _55400], [79 ^ [], 90 ^ [79 ^ []]]]))).
% 0.98/1.35 ncf('1.1.1.1.2.1.1',plain,[-(90 ^ [79 ^ []] = 79 ^ []), 90 ^ [79 ^ []] = 217 ^ [90 ^ [79 ^ []]], 217 ^ [90 ^ [79 ^ []]] = 79 ^ []],extension(10 ^ 14,bind([[_55602, _55604, _55606], [79 ^ [], 217 ^ [90 ^ [79 ^ []]], 90 ^ [79 ^ []]]]))).
% 0.98/1.35 ncf('1.1.1.1.2.1.1.1',plain,[-(90 ^ [79 ^ []] = 217 ^ [90 ^ [79 ^ []]])],extension(221 ^ 15)).
% 0.98/1.35 ncf('1.1.1.1.2.1.1.2',plain,[-(217 ^ [90 ^ [79 ^ []]] = 79 ^ [])],reduction('1.1.1')).
% 0.98/1.35 ncf('1.1.1.1.3',plain,[79 ^ [] = 79 ^ [], -(79 ^ [] = 90 ^ [79 ^ []]), 79 ^ [] = 90 ^ [79 ^ []]],extension(10 ^ 8,bind([[_55602, _55604, _55606], [90 ^ [79 ^ []], 79 ^ [], 79 ^ []]]))).
% 0.98/1.35 ncf('1.1.1.1.3.1',plain,[79 ^ [] = 90 ^ [79 ^ []], 98 : -(r2(79 ^ [], 79 ^ []))],extension(92 ^ 9,bind([[_58327, _58329], [79 ^ [], 79 ^ []]]))).
% 0.98/1.35 ncf('1.1.1.1.3.1.1',plain,[r2(79 ^ [], 79 ^ []), 200 : r1(217 ^ [90 ^ [79 ^ []]]), 200 : 217 ^ [90 ^ [79 ^ []]] = 79 ^ []],extension(198 ^ 12,bind([[_62929, _62931, _63026], [79 ^ [], 79 ^ [], 217 ^ [90 ^ [79 ^ []]]]]))).
% 0.98/1.35 ncf('1.1.1.1.3.1.1.1',plain,[-(r1(217 ^ [90 ^ [79 ^ []]]))],reduction('1.1')).
% 0.98/1.35 ncf('1.1.1.1.3.1.1.2',plain,[-(217 ^ [90 ^ [79 ^ []]] = 79 ^ [])],reduction('1.1.1')).
% 0.98/1.35 ncf('1.1.1.1.3.2',plain,[-(79 ^ [] = 90 ^ [79 ^ []]), 90 ^ [79 ^ []] = 79 ^ []],extension(4 ^ 9,bind([[_55398, _55400], [79 ^ [], 90 ^ [79 ^ []]]]))).
% 0.98/1.35 ncf('1.1.1.1.3.2.1',plain,[-(90 ^ [79 ^ []] = 79 ^ []), 90 ^ [79 ^ []] = 217 ^ [90 ^ [79 ^ []]], 217 ^ [90 ^ [79 ^ []]] = 79 ^ []],extension(10 ^ 10,bind([[_55602, _55604, _55606], [79 ^ [], 217 ^ [90 ^ [79 ^ []]], 90 ^ [79 ^ []]]]))).
% 0.98/1.35 ncf('1.1.1.1.3.2.1.1',plain,[-(90 ^ [79 ^ []] = 217 ^ [90 ^ [79 ^ []]])],extension(221 ^ 11)).
% 0.98/1.35 ncf('1.1.1.1.3.2.1.2',plain,[-(217 ^ [90 ^ [79 ^ []]] = 79 ^ [])],reduction('1.1.1')).
% 0.98/1.35 ncf('1.2',plain,[-(r1(210 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]])), 219 : -(r1(217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]))],extension(208 ^ 3,bind([[_63357], [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]))).
% 0.98/1.35 ncf('1.2.1',plain,[r1(217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]), 89 : -(217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]] = 79 ^ [])],extension(81 ^ 6,bind([[_57912], [217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]]))).
% 0.98/1.35 ncf('1.2.1.1',plain,[217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]] = 79 ^ [], 200 : r1(217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]), 200 : r2(209 ^ [90 ^ [79 ^ []]], 79 ^ [])],extension(198 ^ 9,bind([[_62929, _62931, _63026], [79 ^ [], 209 ^ [90 ^ [79 ^ []]], 217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]]))).
% 0.98/1.35 ncf('1.2.1.1.1',plain,[-(r1(217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]))],reduction('1.2')).
% 0.98/1.35 ncf('1.2.1.1.2',plain,[-(r2(209 ^ [90 ^ [79 ^ []]], 79 ^ [])), 96 : 79 ^ [] = 90 ^ [209 ^ [90 ^ [79 ^ []]]]],extension(92 ^ 10,bind([[_58327, _58329], [79 ^ [], 209 ^ [90 ^ [79 ^ []]]]]))).
% 0.98/1.35 ncf('1.2.1.1.2.1',plain,[-(79 ^ [] = 90 ^ [209 ^ [90 ^ [79 ^ []]]]), 90 ^ [209 ^ [90 ^ [79 ^ []]]] = 79 ^ []],extension(4 ^ 13,bind([[_55398, _55400], [79 ^ [], 90 ^ [209 ^ [90 ^ [79 ^ []]]]]]))).
% 0.98/1.35 ncf('1.2.1.1.2.1.1',plain,[-(90 ^ [209 ^ [90 ^ [79 ^ []]]] = 79 ^ []), 90 ^ [209 ^ [90 ^ [79 ^ []]]] = 217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]] = 79 ^ []],extension(10 ^ 14,bind([[_55602, _55604, _55606], [79 ^ [], 217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 90 ^ [209 ^ [90 ^ [79 ^ []]]]]]))).
% 0.98/1.35 ncf('1.2.1.1.2.1.1.1',plain,[-(90 ^ [209 ^ [90 ^ [79 ^ []]]] = 217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]])],extension(221 ^ 15)).
% 0.98/1.35 ncf('1.2.1.1.2.1.1.2',plain,[-(217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]] = 79 ^ [])],reduction('1.2.1')).
% 0.98/1.35 ncf('1.3',plain,[-(210 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]] = 209 ^ [90 ^ [79 ^ []]]), 209 ^ [90 ^ [79 ^ []]] = 210 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]],extension(4 ^ 3,bind([[_55398, _55400], [210 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 209 ^ [90 ^ [79 ^ []]]]]))).
% 0.98/1.35 ncf('1.3.1',plain,[-(209 ^ [90 ^ [79 ^ []]] = 210 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]), 154 : r2(210 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 209 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]), 156 : r2(209 ^ [90 ^ [79 ^ []]], 90 ^ [209 ^ [90 ^ [79 ^ []]]]), 156 : 90 ^ [209 ^ [90 ^ [79 ^ []]]] = 209 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]],extension(152 ^ 4,bind([[_61067, _61069, _61176, _61280], [210 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 209 ^ [90 ^ [79 ^ []]], 209 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 90 ^ [209 ^ [90 ^ [79 ^ []]]]]]))).
% 0.98/1.35 ncf('1.3.1.1',plain,[-(r2(210 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 209 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]])), 221 : -(90 ^ [209 ^ [90 ^ [79 ^ []]]] = 217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]])],extension(208 ^ 7,bind([[_63357], [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]))).
% 0.98/1.35 ncf('1.3.1.1.1',plain,[90 ^ [209 ^ [90 ^ [79 ^ []]]] = 217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], -(217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]] = 90 ^ [209 ^ [90 ^ [79 ^ []]]])],extension(4 ^ 10,bind([[_55398, _55400], [217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 90 ^ [209 ^ [90 ^ [79 ^ []]]]]]))).
% 0.98/1.35 ncf('1.3.1.1.1.1',plain,[217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]] = 90 ^ [209 ^ [90 ^ [79 ^ []]]], 98 : -(r2(209 ^ [90 ^ [79 ^ []]], 217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]))],extension(92 ^ 11,bind([[_58327, _58329], [217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 209 ^ [90 ^ [79 ^ []]]]]))).
% 0.98/1.35 ncf('1.3.1.1.1.1.1',plain,[r2(209 ^ [90 ^ [79 ^ []]], 217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]), 200 : r1(217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]), 200 : 217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]] = 217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]],extension(198 ^ 14,bind([[_62929, _62931, _63026], [217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 209 ^ [90 ^ [79 ^ []]], 217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]]))).
% 0.98/1.35 ncf('1.3.1.1.1.1.1.1',plain,[-(r1(217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]))],extension(219 ^ 17)).
% 0.98/1.35 ncf('1.3.1.1.1.1.1.2',plain,[-(217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]] = 217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]])],extension(2 ^ 17,bind([[_55291], [217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]]))).
% 0.98/1.35 ncf('1.3.1.2',plain,[-(r2(209 ^ [90 ^ [79 ^ []]], 90 ^ [209 ^ [90 ^ [79 ^ []]]])), 96 : 90 ^ [209 ^ [90 ^ [79 ^ []]]] = 90 ^ [209 ^ [90 ^ [79 ^ []]]]],extension(92 ^ 9,bind([[_58327, _58329], [90 ^ [209 ^ [90 ^ [79 ^ []]]], 209 ^ [90 ^ [79 ^ []]]]]))).
% 0.98/1.35 ncf('1.3.1.2.1',plain,[-(90 ^ [209 ^ [90 ^ [79 ^ []]]] = 90 ^ [209 ^ [90 ^ [79 ^ []]]]), 154 : r2(90 ^ [209 ^ [90 ^ [79 ^ []]]], 90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]), 156 : r2(90 ^ [209 ^ [90 ^ [79 ^ []]]], 90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]), 156 : 90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]] = 90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]],extension(152 ^ 12,bind([[_61067, _61069, _61176, _61280], [90 ^ [209 ^ [90 ^ [79 ^ []]]], 90 ^ [209 ^ [90 ^ [79 ^ []]]], 90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]]))).
% 0.98/1.35 ncf('1.3.1.2.1.1',plain,[-(r2(90 ^ [209 ^ [90 ^ [79 ^ []]]], 90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]])), 96 : 90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]] = 90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]],extension(92 ^ 15,bind([[_58327, _58329], [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 90 ^ [209 ^ [90 ^ [79 ^ []]]]]]))).
% 0.98/1.35 ncf('1.3.1.2.1.1.1',plain,[-(90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]] = 90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]), 154 : r2(90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 125 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], _38940]), 156 : r2(90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 125 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], _38940]), 156 : 125 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], _38940] = 125 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], _38940]],extension(152 ^ 18,bind([[_61067, _61069, _61176, _61280], [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 125 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], _38940], 125 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], _38940]]]))).
% 0.98/1.35 ncf('1.3.1.2.1.1.1.1',plain,[-(r2(90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 125 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], _38940]))],extension(127 ^ 21,bind([[_59936, _59938], [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], _38940]]))).
% 0.98/1.35 ncf('1.3.1.2.1.1.1.2',plain,[-(r2(90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 125 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], _38940]))],extension(127 ^ 23,bind([[_59936, _59938], [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], _38940]]))).
% 0.98/1.35 ncf('1.3.1.2.1.1.1.3',plain,[-(125 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], _38940] = 125 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], _38940])],extension(2 ^ 23,bind([[_55291], [125 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], _38940]]]))).
% 0.98/1.35 ncf('1.3.1.2.1.2',plain,[-(r2(90 ^ [209 ^ [90 ^ [79 ^ []]]], 90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]])), 96 : 90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]] = 90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]],extension(92 ^ 17,bind([[_58327, _58329], [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 90 ^ [209 ^ [90 ^ [79 ^ []]]]]]))).
% 0.98/1.35 ncf('1.3.1.2.1.2.1',plain,[-(90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]] = 90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]), 154 : r2(90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 125 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], _39954]), 156 : r2(90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 125 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], _39954]), 156 : 125 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], _39954] = 125 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], _39954]],extension(152 ^ 20,bind([[_61067, _61069, _61176, _61280], [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 125 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], _39954], 125 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], _39954]]]))).
% 0.98/1.35 ncf('1.3.1.2.1.2.1.1',plain,[-(r2(90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 125 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], _39954]))],extension(127 ^ 23,bind([[_59936, _59938], [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], _39954]]))).
% 0.98/1.35 ncf('1.3.1.2.1.2.1.2',plain,[-(r2(90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 125 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], _39954]))],extension(127 ^ 25,bind([[_59936, _59938], [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], _39954]]))).
% 0.98/1.35 ncf('1.3.1.2.1.2.1.3',plain,[-(125 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], _39954] = 125 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], _39954])],extension(2 ^ 25,bind([[_55291], [125 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], _39954]]]))).
% 0.98/1.35 ncf('1.3.1.2.1.3',plain,[-(90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]] = 90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]), 154 : r2(90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 165 ^ [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]]), 156 : r2(90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 165 ^ [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]]), 156 : 165 ^ [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]] = 165 ^ [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]]],extension(152 ^ 17,bind([[_61067, _61069, _61176, _61280], [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 165 ^ [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]], 165 ^ [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]]]]))).
% 0.98/1.35 ncf('1.3.1.2.1.3.1',plain,[-(r2(90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 165 ^ [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]])), 96 : 165 ^ [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]] = 90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]],extension(92 ^ 20,bind([[_58327, _58329], [165 ^ [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]], 90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]]))).
% 0.98/1.35 ncf('1.3.1.2.1.3.1.1',plain,[-(165 ^ [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]] = 90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]])],extension(172 ^ 23,bind([[_61836], [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]]]))).
% 0.98/1.35 ncf('1.3.1.2.1.3.2',plain,[-(r2(90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 165 ^ [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]])), 96 : 165 ^ [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]] = 90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]],extension(92 ^ 22,bind([[_58327, _58329], [165 ^ [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]], 90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]]))).
% 0.98/1.35 ncf('1.3.1.2.1.3.2.1',plain,[-(165 ^ [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]] = 90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]])],extension(172 ^ 25,bind([[_61836], [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]]]))).
% 0.98/1.35 ncf('1.3.1.2.1.3.3',plain,[-(165 ^ [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]] = 165 ^ [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]]), 154 : r2(165 ^ [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]], 125 ^ [165 ^ [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]], _41868]), 156 : r2(165 ^ [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]], 125 ^ [165 ^ [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]], _41868]), 156 : 125 ^ [165 ^ [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]], _41868] = 125 ^ [165 ^ [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]], _41868]],extension(152 ^ 22,bind([[_61067, _61069, _61176, _61280], [165 ^ [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]], 165 ^ [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]], 125 ^ [165 ^ [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]], _41868], 125 ^ [165 ^ [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]], _41868]]]))).
% 0.98/1.35 ncf('1.3.1.2.1.3.3.1',plain,[-(r2(165 ^ [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]], 125 ^ [165 ^ [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]], _41868]))],extension(127 ^ 25,bind([[_59936, _59938], [165 ^ [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]], _41868]]))).
% 0.98/1.35 ncf('1.3.1.2.1.3.3.2',plain,[-(r2(165 ^ [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]], 125 ^ [165 ^ [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]], _41868]))],extension(127 ^ 27,bind([[_59936, _59938], [165 ^ [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]], _41868]]))).
% 0.98/1.35 ncf('1.3.1.2.1.3.3.3',plain,[-(125 ^ [165 ^ [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]], _41868] = 125 ^ [165 ^ [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]], _41868])],extension(2 ^ 27,bind([[_55291], [125 ^ [165 ^ [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]], _41868]]]))).
% 0.98/1.35 ncf('1.3.1.3',plain,[-(90 ^ [209 ^ [90 ^ [79 ^ []]]] = 209 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]), 221 : -(90 ^ [209 ^ [90 ^ [79 ^ []]]] = 217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]])],extension(208 ^ 9,bind([[_63357], [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]))).
% 0.98/1.35 ncf('1.3.1.3.1',plain,[90 ^ [209 ^ [90 ^ [79 ^ []]]] = 217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], -(217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]] = 90 ^ [209 ^ [90 ^ [79 ^ []]]])],extension(4 ^ 12,bind([[_55398, _55400], [217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 90 ^ [209 ^ [90 ^ [79 ^ []]]]]]))).
% 0.98/1.35 ncf('1.3.1.3.1.1',plain,[217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]] = 90 ^ [209 ^ [90 ^ [79 ^ []]]], 98 : -(r2(209 ^ [90 ^ [79 ^ []]], 217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]))],extension(92 ^ 13,bind([[_58327, _58329], [217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 209 ^ [90 ^ [79 ^ []]]]]))).
% 0.98/1.35 ncf('1.3.1.3.1.1.1',plain,[r2(209 ^ [90 ^ [79 ^ []]], 217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]), 200 : r1(217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]), 200 : 217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]] = 217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]],extension(198 ^ 16,bind([[_62929, _62931, _63026], [217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 209 ^ [90 ^ [79 ^ []]], 217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]]))).
% 0.98/1.35 ncf('1.3.1.3.1.1.1.1',plain,[-(r1(217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]))],extension(219 ^ 19)).
% 0.98/1.35 ncf('1.3.1.3.1.1.1.2',plain,[-(217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]] = 217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]])],extension(2 ^ 19,bind([[_55291], [217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]]))).
% 0.98/1.35 %-----------------------------------------------------
% 0.98/1.35 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------