TSTP Solution File: NUN068+2 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUN068+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n018.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 1.05s 1.37s
% Output : Proof 1.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUN068+2 : TPTP v8.1.2. Released v7.3.0.
% 0.06/0.13 % Command : nanocop.sh %s %d
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 18 21:22:13 EDT 2023
% 0.13/0.34 % CPUTime :
% 1.05/1.37
% 1.05/1.37 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 1.05/1.37 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.05/1.37 %-----------------------------------------------------
% 1.05/1.37 ncf(matrix, plain, [(208 ^ _55199) ^ [_63389] : [211 ^ _55199 : [(212 ^ _55199) ^ [] : [-(r1(210 ^ [_63389]))], (214 ^ _55199) ^ [] : [-(r2(210 ^ [_63389], 209 ^ [_63389]))], (216 ^ _55199) ^ [] : [-(_63389 = 209 ^ [_63389])]], 218 ^ _55199 : [(219 ^ _55199) ^ [] : [-(r1(217 ^ [_63389]))], (221 ^ _55199) ^ [] : [-(_63389 = 217 ^ [_63389])]]], (81 ^ _55199) ^ [_57944] : [82 ^ _55199 : [(83 ^ _55199) ^ [] : [r1(_57944)], (85 ^ _55199) ^ [] : [_57944 = 79 ^ []]], 86 ^ _55199 : [(87 ^ _55199) ^ [] : [-(r1(_57944))], (89 ^ _55199) ^ [] : [-(_57944 = 79 ^ [])]]], (92 ^ _55199) ^ [_58359, _58361] : [93 ^ _55199 : [(94 ^ _55199) ^ [] : [r2(_58361, _58359)], (96 ^ _55199) ^ [] : [_58359 = 90 ^ [_58361]]], 97 ^ _55199 : [(98 ^ _55199) ^ [] : [-(r2(_58361, _58359))], (100 ^ _55199) ^ [] : [-(_58359 = 90 ^ [_58361])]]], (103 ^ _55199) ^ [_58826, _58828, _58830] : [104 ^ _55199 : [(105 ^ _55199) ^ [] : [r3(_58830, _58828, _58826)], (107 ^ _55199) ^ [] : [_58826 = 101 ^ [_58828, _58830]]], 108 ^ _55199 : [(109 ^ _55199) ^ [] : [-(r3(_58830, _58828, _58826))], (111 ^ _55199) ^ [] : [-(_58826 = 101 ^ [_58828, _58830])]]], (114 ^ _55199) ^ [_59315, _59317, _59319] : [115 ^ _55199 : [(116 ^ _55199) ^ [] : [r4(_59319, _59317, _59315)], (118 ^ _55199) ^ [] : [_59315 = 112 ^ [_59317, _59319]]], 119 ^ _55199 : [(120 ^ _55199) ^ [] : [-(r4(_59319, _59317, _59315))], (122 ^ _55199) ^ [] : [-(_59315 = 112 ^ [_59317, _59319])]]], (127 ^ _55199) ^ [_59968, _59970] : [-(r2(_59968, 125 ^ [_59968, _59970]))], (129 ^ _55199) ^ [_60021, _60023] : [-(r3(_60023, 125 ^ [_60021, _60023], 124 ^ [_60021, _60023]))], (131 ^ _55199) ^ [_60084, _60086] : [-(124 ^ [_60084, _60086] = 123 ^ [_60084, _60086])], (134 ^ _55199) ^ [_60223, _60225] : [-(r2(132 ^ [_60223, _60225], 123 ^ [_60223, _60225]))], (136 ^ _55199) ^ [_60283, _60285] : [-(r3(_60285, _60283, 132 ^ [_60283, _60285]))], (141 ^ _55199) ^ [_60657, _60659] : [-(r2(_60657, 139 ^ [_60657, _60659]))], (143 ^ _55199) ^ [_60710, _60712] : [-(r4(_60712, 139 ^ [_60710, _60712], 138 ^ [_60710, _60712]))], (145 ^ _55199) ^ [_60773, _60775] : [-(138 ^ [_60773, _60775] = 137 ^ [_60773, _60775])], (148 ^ _55199) ^ [_60913, _60915] : [-(r3(146 ^ [_60913, _60915], _60915, 137 ^ [_60913, _60915]))], (150 ^ _55199) ^ [_60974, _60976] : [-(r4(_60976, _60974, 146 ^ [_60974, _60976]))], (152 ^ _55199) ^ [_61099, _61101] : [-(_61101 = _61099), 153 ^ _55199 : [(154 ^ _55199) ^ [_61208] : [r2(_61099, _61208), 155 ^ _55199 : [(156 ^ _55199) ^ [_61312] : [r2(_61101, _61312), _61312 = _61208]]]]], (168 ^ _55199) ^ [_61763] : [-(r1(166 ^ [_61763]))], (170 ^ _55199) ^ [_61811] : [-(r3(_61811, 166 ^ [_61811], 165 ^ [_61811]))], (172 ^ _55199) ^ [_61868] : [-(165 ^ [_61868] = _61868)], (176 ^ _55199) ^ [_62111] : [-(r1(174 ^ [_62111]))], (178 ^ _55199) ^ [_62159] : [-(r4(_62159, 174 ^ [_62159], 173 ^ [_62159]))], (181 ^ _55199) ^ [_62285] : [-(r1(179 ^ [_62285]))], (183 ^ _55199) ^ [_62333] : [-(173 ^ [_62333] = 179 ^ [_62333])], (185 ^ _55199) ^ [_62442] : [187 ^ _55199 : [(188 ^ _55199) ^ [] : [-(r1(186 ^ [_62442]))], (190 ^ _55199) ^ [] : [-(_62442 = 186 ^ [_62442])]], 193 ^ _55199 : [(194 ^ _55199) ^ [] : [-(r2(191 ^ [_62442], 192 ^ [_62442]))], (196 ^ _55199) ^ [] : [-(_62442 = 192 ^ [_62442])]]], (198 ^ _55199) ^ [_62961, _62963] : [r2(_62963, _62961), 199 ^ _55199 : [(200 ^ _55199) ^ [_63058] : [r1(_63058), _63058 = _62961]]], (2 ^ _55199) ^ [_55323] : [-(_55323 = _55323)], (4 ^ _55199) ^ [_55430, _55432] : [_55432 = _55430, -(_55430 = _55432)], (10 ^ _55199) ^ [_55634, _55636, _55638] : [-(_55638 = _55634), _55638 = _55636, _55636 = _55634], (20 ^ _55199) ^ [_56003, _56005, _56007, _56009, _56011, _56013] : [-(r3(_56011, _56007, _56003)), r3(_56013, _56009, _56005), _56013 = _56011, _56009 = _56007, _56005 = _56003], (38 ^ _55199) ^ [_56612, _56614, _56616, _56618, _56620, _56622] : [-(r4(_56620, _56616, _56612)), r4(_56622, _56618, _56614), _56622 = _56620, _56618 = _56616, _56614 = _56612], (70 ^ _55199) ^ [_57589, _57591] : [-(r1(_57589)), _57591 = _57589, r1(_57591)], (56 ^ _55199) ^ [_57193, _57195, _57197, _57199] : [-(r2(_57197, _57193)), r2(_57199, _57195), _57199 = _57197, _57195 = _57193]], input).
% 1.05/1.37 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([[_62961, _62963, _63058], [209 ^ [90 ^ [79 ^ []]], 210 ^ [90 ^ [79 ^ []]], 210 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]]))).
% 1.05/1.37 ncf('1.1',plain,[-(r2(210 ^ [90 ^ [79 ^ []]], 209 ^ [90 ^ [79 ^ []]])), 219 : -(r1(217 ^ [90 ^ [79 ^ []]]))],extension(208 ^ 1,bind([[_63389], [90 ^ [79 ^ []]]]))).
% 1.05/1.37 ncf('1.1.1',plain,[r1(217 ^ [90 ^ [79 ^ []]]), 89 : -(217 ^ [90 ^ [79 ^ []]] = 79 ^ [])],extension(81 ^ 4,bind([[_57944], [217 ^ [90 ^ [79 ^ []]]]]))).
% 1.05/1.37 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([[_61099, _61101, _61208, _61312], [79 ^ [], 79 ^ [], 79 ^ [], 217 ^ [90 ^ [79 ^ []]]]]))).
% 1.05/1.37 ncf('1.1.1.1.1',plain,[-(r2(79 ^ [], 217 ^ [90 ^ [79 ^ []]])), 96 : 217 ^ [90 ^ [79 ^ []]] = 90 ^ [79 ^ []]],extension(92 ^ 12,bind([[_58359, _58361], [217 ^ [90 ^ [79 ^ []]], 79 ^ []]]))).
% 1.05/1.37 ncf('1.1.1.1.1.1',plain,[-(217 ^ [90 ^ [79 ^ []]] = 90 ^ [79 ^ []]), 90 ^ [79 ^ []] = 217 ^ [90 ^ [79 ^ []]]],extension(4 ^ 15,bind([[_55430, _55432], [217 ^ [90 ^ [79 ^ []]], 90 ^ [79 ^ []]]]))).
% 1.05/1.37 ncf('1.1.1.1.1.1.1',plain,[-(90 ^ [79 ^ []] = 217 ^ [90 ^ [79 ^ []]])],extension(221 ^ 16)).
% 1.05/1.37 ncf('1.1.1.1.2',plain,[-(r2(79 ^ [], 79 ^ [])), 96 : 79 ^ [] = 90 ^ [79 ^ []]],extension(92 ^ 10,bind([[_58359, _58361], [79 ^ [], 79 ^ []]]))).
% 1.05/1.37 ncf('1.1.1.1.2.1',plain,[-(79 ^ [] = 90 ^ [79 ^ []]), 90 ^ [79 ^ []] = 79 ^ []],extension(4 ^ 13,bind([[_55430, _55432], [79 ^ [], 90 ^ [79 ^ []]]]))).
% 1.05/1.37 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([[_55634, _55636, _55638], [79 ^ [], 217 ^ [90 ^ [79 ^ []]], 90 ^ [79 ^ []]]]))).
% 1.05/1.37 ncf('1.1.1.1.2.1.1.1',plain,[-(90 ^ [79 ^ []] = 217 ^ [90 ^ [79 ^ []]])],extension(221 ^ 15)).
% 1.05/1.37 ncf('1.1.1.1.2.1.1.2',plain,[-(217 ^ [90 ^ [79 ^ []]] = 79 ^ [])],reduction('1.1.1')).
% 1.05/1.37 ncf('1.1.1.1.3',plain,[79 ^ [] = 79 ^ [], -(79 ^ [] = 90 ^ [79 ^ []]), 79 ^ [] = 90 ^ [79 ^ []]],extension(10 ^ 8,bind([[_55634, _55636, _55638], [90 ^ [79 ^ []], 79 ^ [], 79 ^ []]]))).
% 1.05/1.37 ncf('1.1.1.1.3.1',plain,[79 ^ [] = 90 ^ [79 ^ []], 98 : -(r2(79 ^ [], 79 ^ []))],extension(92 ^ 9,bind([[_58359, _58361], [79 ^ [], 79 ^ []]]))).
% 1.05/1.37 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([[_62961, _62963, _63058], [79 ^ [], 79 ^ [], 217 ^ [90 ^ [79 ^ []]]]]))).
% 1.05/1.37 ncf('1.1.1.1.3.1.1.1',plain,[-(r1(217 ^ [90 ^ [79 ^ []]]))],reduction('1.1')).
% 1.05/1.37 ncf('1.1.1.1.3.1.1.2',plain,[-(217 ^ [90 ^ [79 ^ []]] = 79 ^ [])],reduction('1.1.1')).
% 1.05/1.37 ncf('1.1.1.1.3.2',plain,[-(79 ^ [] = 90 ^ [79 ^ []]), 90 ^ [79 ^ []] = 79 ^ []],extension(4 ^ 9,bind([[_55430, _55432], [79 ^ [], 90 ^ [79 ^ []]]]))).
% 1.05/1.37 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([[_55634, _55636, _55638], [79 ^ [], 217 ^ [90 ^ [79 ^ []]], 90 ^ [79 ^ []]]]))).
% 1.05/1.37 ncf('1.1.1.1.3.2.1.1',plain,[-(90 ^ [79 ^ []] = 217 ^ [90 ^ [79 ^ []]])],extension(221 ^ 11)).
% 1.05/1.37 ncf('1.1.1.1.3.2.1.2',plain,[-(217 ^ [90 ^ [79 ^ []]] = 79 ^ [])],reduction('1.1.1')).
% 1.05/1.37 ncf('1.2',plain,[-(r1(210 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]])), 219 : -(r1(217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]))],extension(208 ^ 3,bind([[_63389], [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]))).
% 1.05/1.37 ncf('1.2.1',plain,[r1(217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]), 89 : -(217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]] = 79 ^ [])],extension(81 ^ 6,bind([[_57944], [217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]]))).
% 1.05/1.37 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([[_62961, _62963, _63058], [79 ^ [], 209 ^ [90 ^ [79 ^ []]], 217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]]))).
% 1.05/1.37 ncf('1.2.1.1.1',plain,[-(r1(217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]))],reduction('1.2')).
% 1.05/1.37 ncf('1.2.1.1.2',plain,[-(r2(209 ^ [90 ^ [79 ^ []]], 79 ^ [])), 96 : 79 ^ [] = 90 ^ [209 ^ [90 ^ [79 ^ []]]]],extension(92 ^ 10,bind([[_58359, _58361], [79 ^ [], 209 ^ [90 ^ [79 ^ []]]]]))).
% 1.05/1.37 ncf('1.2.1.1.2.1',plain,[-(79 ^ [] = 90 ^ [209 ^ [90 ^ [79 ^ []]]]), 90 ^ [209 ^ [90 ^ [79 ^ []]]] = 79 ^ []],extension(4 ^ 13,bind([[_55430, _55432], [79 ^ [], 90 ^ [209 ^ [90 ^ [79 ^ []]]]]]))).
% 1.05/1.37 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([[_55634, _55636, _55638], [79 ^ [], 217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 90 ^ [209 ^ [90 ^ [79 ^ []]]]]]))).
% 1.05/1.37 ncf('1.2.1.1.2.1.1.1',plain,[-(90 ^ [209 ^ [90 ^ [79 ^ []]]] = 217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]])],extension(221 ^ 15)).
% 1.05/1.37 ncf('1.2.1.1.2.1.1.2',plain,[-(217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]] = 79 ^ [])],reduction('1.2.1')).
% 1.05/1.37 ncf('1.3',plain,[-(210 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]] = 209 ^ [90 ^ [79 ^ []]]), 209 ^ [90 ^ [79 ^ []]] = 210 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]],extension(4 ^ 3,bind([[_55430, _55432], [210 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 209 ^ [90 ^ [79 ^ []]]]]))).
% 1.05/1.37 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([[_61099, _61101, _61208, _61312], [210 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 209 ^ [90 ^ [79 ^ []]], 209 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 90 ^ [209 ^ [90 ^ [79 ^ []]]]]]))).
% 1.05/1.37 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([[_63389], [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]))).
% 1.05/1.37 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([[_55430, _55432], [217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 90 ^ [209 ^ [90 ^ [79 ^ []]]]]]))).
% 1.05/1.37 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([[_58359, _58361], [217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 209 ^ [90 ^ [79 ^ []]]]]))).
% 1.05/1.37 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([[_62961, _62963, _63058], [217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 209 ^ [90 ^ [79 ^ []]], 217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]]))).
% 1.05/1.37 ncf('1.3.1.1.1.1.1.1',plain,[-(r1(217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]))],extension(219 ^ 17)).
% 1.05/1.37 ncf('1.3.1.1.1.1.1.2',plain,[-(217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]] = 217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]])],extension(2 ^ 17,bind([[_55323], [217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]]))).
% 1.05/1.37 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([[_58359, _58361], [90 ^ [209 ^ [90 ^ [79 ^ []]]], 209 ^ [90 ^ [79 ^ []]]]]))).
% 1.05/1.37 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([[_61099, _61101, _61208, _61312], [90 ^ [209 ^ [90 ^ [79 ^ []]]], 90 ^ [209 ^ [90 ^ [79 ^ []]]], 90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]]))).
% 1.05/1.37 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([[_58359, _58361], [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 90 ^ [209 ^ [90 ^ [79 ^ []]]]]]))).
% 1.05/1.37 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 ^ []]]]], _38972]), 156 : r2(90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 125 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], _38972]), 156 : 125 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], _38972] = 125 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], _38972]],extension(152 ^ 18,bind([[_61099, _61101, _61208, _61312], [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 125 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], _38972], 125 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], _38972]]]))).
% 1.05/1.37 ncf('1.3.1.2.1.1.1.1',plain,[-(r2(90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 125 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], _38972]))],extension(127 ^ 21,bind([[_59968, _59970], [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], _38972]]))).
% 1.05/1.37 ncf('1.3.1.2.1.1.1.2',plain,[-(r2(90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 125 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], _38972]))],extension(127 ^ 23,bind([[_59968, _59970], [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], _38972]]))).
% 1.05/1.37 ncf('1.3.1.2.1.1.1.3',plain,[-(125 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], _38972] = 125 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], _38972])],extension(2 ^ 23,bind([[_55323], [125 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], _38972]]]))).
% 1.05/1.37 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([[_58359, _58361], [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 90 ^ [209 ^ [90 ^ [79 ^ []]]]]]))).
% 1.05/1.37 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 ^ []]]]], _39986]), 156 : r2(90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 125 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], _39986]), 156 : 125 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], _39986] = 125 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], _39986]],extension(152 ^ 20,bind([[_61099, _61101, _61208, _61312], [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 125 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], _39986], 125 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], _39986]]]))).
% 1.05/1.37 ncf('1.3.1.2.1.2.1.1',plain,[-(r2(90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 125 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], _39986]))],extension(127 ^ 23,bind([[_59968, _59970], [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], _39986]]))).
% 1.05/1.37 ncf('1.3.1.2.1.2.1.2',plain,[-(r2(90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 125 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], _39986]))],extension(127 ^ 25,bind([[_59968, _59970], [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], _39986]]))).
% 1.05/1.37 ncf('1.3.1.2.1.2.1.3',plain,[-(125 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], _39986] = 125 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], _39986])],extension(2 ^ 25,bind([[_55323], [125 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], _39986]]]))).
% 1.05/1.37 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([[_61099, _61101, _61208, _61312], [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 165 ^ [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]], 165 ^ [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]]]]))).
% 1.05/1.37 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([[_58359, _58361], [165 ^ [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]], 90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]]))).
% 1.05/1.37 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([[_61868], [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]]]))).
% 1.05/1.37 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([[_58359, _58361], [165 ^ [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]], 90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]]))).
% 1.05/1.37 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([[_61868], [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]]]))).
% 1.05/1.37 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 ^ []]]]]]], _41900]), 156 : r2(165 ^ [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]], 125 ^ [165 ^ [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]], _41900]), 156 : 125 ^ [165 ^ [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]], _41900] = 125 ^ [165 ^ [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]], _41900]],extension(152 ^ 22,bind([[_61099, _61101, _61208, _61312], [165 ^ [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]], 165 ^ [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]], 125 ^ [165 ^ [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]], _41900], 125 ^ [165 ^ [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]], _41900]]]))).
% 1.05/1.37 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 ^ []]]]]]], _41900]))],extension(127 ^ 25,bind([[_59968, _59970], [165 ^ [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]], _41900]]))).
% 1.05/1.37 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 ^ []]]]]]], _41900]))],extension(127 ^ 27,bind([[_59968, _59970], [165 ^ [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]], _41900]]))).
% 1.05/1.37 ncf('1.3.1.2.1.3.3.3',plain,[-(125 ^ [165 ^ [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]], _41900] = 125 ^ [165 ^ [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]], _41900])],extension(2 ^ 27,bind([[_55323], [125 ^ [165 ^ [90 ^ [90 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]], _41900]]]))).
% 1.05/1.37 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([[_63389], [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]))).
% 1.05/1.37 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([[_55430, _55432], [217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 90 ^ [209 ^ [90 ^ [79 ^ []]]]]]))).
% 1.05/1.37 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([[_58359, _58361], [217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 209 ^ [90 ^ [79 ^ []]]]]))).
% 1.05/1.37 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([[_62961, _62963, _63058], [217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]], 209 ^ [90 ^ [79 ^ []]], 217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]]))).
% 1.05/1.37 ncf('1.3.1.3.1.1.1.1',plain,[-(r1(217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]))],extension(219 ^ 19)).
% 1.05/1.37 ncf('1.3.1.3.1.1.1.2',plain,[-(217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]] = 217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]])],extension(2 ^ 19,bind([[_55323], [217 ^ [90 ^ [209 ^ [90 ^ [79 ^ []]]]]]]))).
% 1.05/1.37 %-----------------------------------------------------
% 1.05/1.37 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------