%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : LCL512+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n026.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 11:33:24 EDT 2023

% Result   : Theorem 0.61s 1.39s
% Output   : Proof 0.61s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL512+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.13  % Command  : nanocop.sh %s %d
% 0.14/0.34  % Computer : n026.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Thu May 18 16:34:50 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.61/1.39  
% 0.61/1.39  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.61/1.39  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/1.39  %-----------------------------------------------------
% 0.61/1.39  ncf(matrix, plain, [(513 ^ _62673) ^ [] : [equivalence_1], (20 ^ _62673) ^ [_63421, _63423] : [-(is_a_theorem(_63421)), _63423 = _63421, is_a_theorem(_63423)], (2 ^ _62673) ^ [_62817] : [-(_62817 = _62817)], (4 ^ _62673) ^ [_62924, _62926] : [_62926 = _62924, -(_62924 = _62926)], (10 ^ _62673) ^ [_63128, _63130, _63132] : [-(_63132 = _63128), _63132 = _63130, _63130 = _63128], (30 ^ _62673) ^ [_63746, _63748, _63750, _63752] : [-(or(_63752, _63748) = or(_63750, _63746)), _63752 = _63750, _63748 = _63746], (40 ^ _62673) ^ [_64077, _64079] : [_64079 = _64077, -((not _64079) = (not _64077))], (46 ^ _62673) ^ [_64323, _64325, _64327, _64329] : [-(equiv(_64329, _64325) = equiv(_64327, _64323)), _64329 = _64327, _64325 = _64323], (56 ^ _62673) ^ [_64682, _64684, _64686, _64688] : [-(and(_64688, _64684) = and(_64686, _64682)), _64688 = _64686, _64684 = _64682], (66 ^ _62673) ^ [_65021, _65023, _65025, _65027] : [-(implies(_65027, _65023) = implies(_65025, _65021)), _65027 = _65025, _65023 = _65021], (491 ^ _62673) ^ [] : [-(op_or)], (493 ^ _62673) ^ [] : [-(op_implies_and)], (495 ^ _62673) ^ [] : [-(op_equiv)], (497 ^ _62673) ^ [] : [-(modus_ponens)], (499 ^ _62673) ^ [] : [-(kn1)], (501 ^ _62673) ^ [] : [-(kn2)], (503 ^ _62673) ^ [] : [-(kn3)], (505 ^ _62673) ^ [] : [-(substitution_of_equivalents)], (507 ^ _62673) ^ [] : [-(op_or)], (509 ^ _62673) ^ [] : [-(op_implies_and)], (511 ^ _62673) ^ [] : [-(op_equiv)], (461 ^ _62673) ^ [] : [op_or, 464 ^ _62673 : [(465 ^ _62673) ^ [_76675, _76677] : [-(or(_76677, _76675) = (not and(not _76677, not _76675)))]]], (467 ^ _62673) ^ [] : [op_and, 470 ^ _62673 : [(471 ^ _62673) ^ [_76848, _76850] : [-(and(_76850, _76848) = (not or(not _76850, not _76848)))]]], (473 ^ _62673) ^ [] : [op_implies_and, 476 ^ _62673 : [(477 ^ _62673) ^ [_77021, _77023] : [-(implies(_77023, _77021) = (not and(_77023, not _77021)))]]], (479 ^ _62673) ^ [] : [op_implies_or, 482 ^ _62673 : [(483 ^ _62673) ^ [_77192, _77194] : [-(implies(_77194, _77192) = or(not _77194, _77192))]]], (485 ^ _62673) ^ [] : [op_equiv, 488 ^ _62673 : [(489 ^ _62673) ^ [_77341, _77343] : [-(equiv(_77343, _77341) = and(implies(_77343, _77341), implies(_77341, _77343)))]]], (90 ^ _62673) ^ [] : [93 ^ _62673 : [(94 ^ _62673) ^ [] : [-(is_a_theorem(91 ^ []))], (96 ^ _62673) ^ [] : [-(is_a_theorem(implies(91 ^ [], 92 ^ [])))], (98 ^ _62673) ^ [] : [is_a_theorem(92 ^ [])]], -(modus_ponens)], (76 ^ _62673) ^ [] : [modus_ponens, 79 ^ _62673 : [(80 ^ _62673) ^ [_65479, _65481] : [-(is_a_theorem(_65479)), is_a_theorem(_65481), is_a_theorem(implies(_65481, _65479))]]], (112 ^ _62673) ^ [] : [115 ^ _62673 : [(116 ^ _62673) ^ [] : [-(is_a_theorem(equiv(113 ^ [], 114 ^ [])))], (118 ^ _62673) ^ [] : [113 ^ [] = 114 ^ []]], -(substitution_of_equivalents)], (102 ^ _62673) ^ [] : [substitution_of_equivalents, 105 ^ _62673 : [(106 ^ _62673) ^ [_66189, _66191] : [is_a_theorem(equiv(_66191, _66189)), -(_66191 = _66189)]]], (122 ^ _62673) ^ [] : [modus_tollens, 125 ^ _62673 : [(126 ^ _62673) ^ [_66736, _66738] : [-(is_a_theorem(implies(implies(not _66736, not _66738), implies(_66738, _66736))))]]], (128 ^ _62673) ^ [] : [is_a_theorem(implies(implies(not 130 ^ [], not 129 ^ []), implies(129 ^ [], 130 ^ []))), -(modus_tollens)], (136 ^ _62673) ^ [] : [implies_1, 139 ^ _62673 : [(140 ^ _62673) ^ [_67140, _67142] : [-(is_a_theorem(implies(_67142, implies(_67140, _67142))))]]], (142 ^ _62673) ^ [] : [is_a_theorem(implies(143 ^ [], implies(144 ^ [], 143 ^ []))), -(implies_1)], (150 ^ _62673) ^ [] : [implies_2, 153 ^ _62673 : [(154 ^ _62673) ^ [_67525, _67527] : [-(is_a_theorem(implies(implies(_67527, implies(_67527, _67525)), implies(_67527, _67525))))]]], (156 ^ _62673) ^ [] : [is_a_theorem(implies(implies(157 ^ [], implies(157 ^ [], 158 ^ [])), implies(157 ^ [], 158 ^ []))), -(implies_2)], (164 ^ _62673) ^ [] : [implies_3, 167 ^ _62673 : [(168 ^ _62673) ^ [_67942, _67944, _67946] : [-(is_a_theorem(implies(implies(_67946, _67944), implies(implies(_67944, _67942), implies(_67946, _67942)))))]]], (170 ^ _62673) ^ [] : [is_a_theorem(implies(implies(171 ^ [], 172 ^ []), implies(implies(172 ^ [], 173 ^ []), implies(171 ^ [], 173 ^ [])))), -(implies_3)], (179 ^ _62673) ^ [] : [and_1, 182 ^ _62673 : [(183 ^ _62673) ^ [_68414, _68416] : [-(is_a_theorem(implies(and(_68416, _68414), _68416)))]]], (185 ^ _62673) ^ [] : [is_a_theorem(implies(and(186 ^ [], 187 ^ []), 186 ^ [])), -(and_1)], (193 ^ _62673) ^ [] : [and_2, 196 ^ _62673 : [(197 ^ _62673) ^ [_68799, _68801] : [-(is_a_theorem(implies(and(_68801, _68799), _68799)))]]], (199 ^ _62673) ^ [] : [is_a_theorem(implies(and(200 ^ [], 201 ^ []), 201 ^ [])), -(and_2)], (207 ^ _62673) ^ [] : [and_3, 210 ^ _62673 : [(211 ^ _62673) ^ [_69184, _69186] : [-(is_a_theorem(implies(_69186, implies(_69184, and(_69186, _69184)))))]]], (213 ^ _62673) ^ [] : [is_a_theorem(implies(214 ^ [], implies(215 ^ [], and(214 ^ [], 215 ^ [])))), -(and_3)], (221 ^ _62673) ^ [] : [or_1, 224 ^ _62673 : [(225 ^ _62673) ^ [_69578, _69580] : [-(is_a_theorem(implies(_69580, or(_69580, _69578))))]]], (227 ^ _62673) ^ [] : [is_a_theorem(implies(228 ^ [], or(228 ^ [], 229 ^ []))), -(or_1)], (235 ^ _62673) ^ [] : [or_2, 238 ^ _62673 : [(239 ^ _62673) ^ [_69963, _69965] : [-(is_a_theorem(implies(_69963, or(_69965, _69963))))]]], (241 ^ _62673) ^ [] : [is_a_theorem(implies(243 ^ [], or(242 ^ [], 243 ^ []))), -(or_2)], (249 ^ _62673) ^ [] : [or_3, 252 ^ _62673 : [(253 ^ _62673) ^ [_70362, _70364, _70366] : [-(is_a_theorem(implies(implies(_70366, _70362), implies(implies(_70364, _70362), implies(or(_70366, _70364), _70362)))))]]], (255 ^ _62673) ^ [] : [is_a_theorem(implies(implies(256 ^ [], 258 ^ []), implies(implies(257 ^ [], 258 ^ []), implies(or(256 ^ [], 257 ^ []), 258 ^ [])))), -(or_3)], (264 ^ _62673) ^ [] : [equivalence_1, 267 ^ _62673 : [(268 ^ _62673) ^ [_70846, _70848] : [-(is_a_theorem(implies(equiv(_70848, _70846), implies(_70848, _70846))))]]], (270 ^ _62673) ^ [] : [is_a_theorem(implies(equiv(271 ^ [], 272 ^ []), implies(271 ^ [], 272 ^ []))), -(equivalence_1)], (278 ^ _62673) ^ [] : [equivalence_2, 281 ^ _62673 : [(282 ^ _62673) ^ [_71240, _71242] : [-(is_a_theorem(implies(equiv(_71242, _71240), implies(_71240, _71242))))]]], (284 ^ _62673) ^ [] : [is_a_theorem(implies(equiv(285 ^ [], 286 ^ []), implies(286 ^ [], 285 ^ []))), -(equivalence_2)], (292 ^ _62673) ^ [] : [equivalence_3, 295 ^ _62673 : [(296 ^ _62673) ^ [_71634, _71636] : [-(is_a_theorem(implies(implies(_71636, _71634), implies(implies(_71634, _71636), equiv(_71636, _71634)))))]]], (298 ^ _62673) ^ [] : [is_a_theorem(implies(implies(299 ^ [], 300 ^ []), implies(implies(300 ^ [], 299 ^ []), equiv(299 ^ [], 300 ^ [])))), -(equivalence_3)], (306 ^ _62673) ^ [] : [kn1, 309 ^ _62673 : [(310 ^ _62673) ^ [_72032] : [-(is_a_theorem(implies(_72032, and(_72032, _72032))))]]], (312 ^ _62673) ^ [] : [is_a_theorem(implies(313 ^ [], and(313 ^ [], 313 ^ []))), -(kn1)], (319 ^ _62673) ^ [] : [kn2, 322 ^ _62673 : [(323 ^ _62673) ^ [_72368, _72370] : [-(is_a_theorem(implies(and(_72370, _72368), _72370)))]]], (325 ^ _62673) ^ [] : [is_a_theorem(implies(and(326 ^ [], 327 ^ []), 326 ^ [])), -(kn2)], (333 ^ _62673) ^ [] : [kn3, 336 ^ _62673 : [(337 ^ _62673) ^ [_72767, _72769, _72771] : [-(is_a_theorem(implies(implies(_72771, _72769), implies(not and(_72769, _72767), not and(_72767, _72771)))))]]], (339 ^ _62673) ^ [] : [is_a_theorem(implies(implies(340 ^ [], 341 ^ []), implies(not and(341 ^ [], 342 ^ []), not and(342 ^ [], 340 ^ [])))), -(kn3)], (348 ^ _62673) ^ [] : [cn1, 351 ^ _62673 : [(352 ^ _62673) ^ [_73269, _73271, _73273] : [-(is_a_theorem(implies(implies(_73273, _73271), implies(implies(_73271, _73269), implies(_73273, _73269)))))]]], (354 ^ _62673) ^ [] : [is_a_theorem(implies(implies(355 ^ [], 356 ^ []), implies(implies(356 ^ [], 357 ^ []), implies(355 ^ [], 357 ^ [])))), -(cn1)], (363 ^ _62673) ^ [] : [cn2, 366 ^ _62673 : [(367 ^ _62673) ^ [_73741, _73743] : [-(is_a_theorem(implies(_73743, implies(not _73743, _73741))))]]], (369 ^ _62673) ^ [] : [is_a_theorem(implies(370 ^ [], implies(not 370 ^ [], 371 ^ []))), -(cn2)], (377 ^ _62673) ^ [] : [cn3, 380 ^ _62673 : [(381 ^ _62673) ^ [_74116] : [-(is_a_theorem(implies(implies(not _74116, _74116), _74116)))]]], (383 ^ _62673) ^ [] : [is_a_theorem(implies(implies(not 384 ^ [], 384 ^ []), 384 ^ [])), -(cn3)], (390 ^ _62673) ^ [] : [r1, 393 ^ _62673 : [(394 ^ _62673) ^ [_74442] : [-(is_a_theorem(implies(or(_74442, _74442), _74442)))]]], (396 ^ _62673) ^ [] : [is_a_theorem(implies(or(397 ^ [], 397 ^ []), 397 ^ [])), -(r1)], (403 ^ _62673) ^ [] : [r2, 406 ^ _62673 : [(407 ^ _62673) ^ [_74778, _74780] : [-(is_a_theorem(implies(_74778, or(_74780, _74778))))]]], (409 ^ _62673) ^ [] : [is_a_theorem(implies(411 ^ [], or(410 ^ [], 411 ^ []))), -(r2)], (417 ^ _62673) ^ [] : [r3, 420 ^ _62673 : [(421 ^ _62673) ^ [_75163, _75165] : [-(is_a_theorem(implies(or(_75165, _75163), or(_75163, _75165))))]]], (423 ^ _62673) ^ [] : [is_a_theorem(implies(or(424 ^ [], 425 ^ []), or(425 ^ [], 424 ^ []))), -(r3)], (431 ^ _62673) ^ [] : [r4, 434 ^ _62673 : [(435 ^ _62673) ^ [_75571, _75573, _75575] : [-(is_a_theorem(implies(or(_75575, or(_75573, _75571)), or(_75573, or(_75575, _75571)))))]]], (437 ^ _62673) ^ [] : [is_a_theorem(implies(or(438 ^ [], or(439 ^ [], 440 ^ [])), or(439 ^ [], or(438 ^ [], 440 ^ [])))), -(r4)], (446 ^ _62673) ^ [] : [r5, 449 ^ _62673 : [(450 ^ _62673) ^ [_76040, _76042, _76044] : [-(is_a_theorem(implies(implies(_76042, _76040), implies(or(_76044, _76042), or(_76044, _76040)))))]]], (452 ^ _62673) ^ [] : [is_a_theorem(implies(implies(454 ^ [], 455 ^ []), implies(or(453 ^ [], 454 ^ []), or(453 ^ [], 455 ^ [])))), -(r5)]], input).
% 0.61/1.39  ncf('1',plain,[equivalence_1],start(513 ^ 0)).
% 0.61/1.39  ncf('1.1',plain,[-(equivalence_1), is_a_theorem(implies(equiv(271 ^ [], 272 ^ []), implies(271 ^ [], 272 ^ [])))],extension(270 ^ 1)).
% 0.61/1.39  ncf('1.1.1',plain,[-(is_a_theorem(implies(equiv(271 ^ [], 272 ^ []), implies(271 ^ [], 272 ^ [])))), implies(and(implies(271 ^ [], 272 ^ []), implies(272 ^ [], 271 ^ [])), implies(271 ^ [], 272 ^ [])) = implies(equiv(271 ^ [], 272 ^ []), implies(271 ^ [], 272 ^ [])), is_a_theorem(implies(and(implies(271 ^ [], 272 ^ []), implies(272 ^ [], 271 ^ [])), implies(271 ^ [], 272 ^ [])))],extension(20 ^ 2,bind([[_63421, _63423], [implies(equiv(271 ^ [], 272 ^ []), implies(271 ^ [], 272 ^ [])), implies(and(implies(271 ^ [], 272 ^ []), implies(272 ^ [], 271 ^ [])), implies(271 ^ [], 272 ^ []))]]))).
% 0.61/1.39  ncf('1.1.1.1',plain,[-(implies(and(implies(271 ^ [], 272 ^ []), implies(272 ^ [], 271 ^ [])), implies(271 ^ [], 272 ^ [])) = implies(equiv(271 ^ [], 272 ^ []), implies(271 ^ [], 272 ^ []))), implies(equiv(271 ^ [], 272 ^ []), implies(271 ^ [], 272 ^ [])) = implies(and(implies(271 ^ [], 272 ^ []), implies(272 ^ [], 271 ^ [])), implies(271 ^ [], 272 ^ []))],extension(4 ^ 3,bind([[_62924, _62926], [implies(and(implies(271 ^ [], 272 ^ []), implies(272 ^ [], 271 ^ [])), implies(271 ^ [], 272 ^ [])), implies(equiv(271 ^ [], 272 ^ []), implies(271 ^ [], 272 ^ []))]]))).
% 0.61/1.39  ncf('1.1.1.1.1',plain,[-(implies(equiv(271 ^ [], 272 ^ []), implies(271 ^ [], 272 ^ [])) = implies(and(implies(271 ^ [], 272 ^ []), implies(272 ^ [], 271 ^ [])), implies(271 ^ [], 272 ^ []))), equiv(271 ^ [], 272 ^ []) = and(implies(271 ^ [], 272 ^ []), implies(272 ^ [], 271 ^ [])), implies(271 ^ [], 272 ^ []) = implies(271 ^ [], 272 ^ [])],extension(66 ^ 4,bind([[_65021, _65023, _65025, _65027], [implies(271 ^ [], 272 ^ []), implies(271 ^ [], 272 ^ []), and(implies(271 ^ [], 272 ^ []), implies(272 ^ [], 271 ^ [])), equiv(271 ^ [], 272 ^ [])]]))).
% 0.61/1.39  ncf('1.1.1.1.1.1',plain,[-(equiv(271 ^ [], 272 ^ []) = and(implies(271 ^ [], 272 ^ []), implies(272 ^ [], 271 ^ []))), op_equiv],extension(485 ^ 5,bind([[_77341, _77343], [272 ^ [], 271 ^ []]]))).
% 0.61/1.39  ncf('1.1.1.1.1.1.1',plain,[-(op_equiv)],extension(495 ^ 6)).
% 0.61/1.39  ncf('1.1.1.1.1.2',plain,[-(implies(271 ^ [], 272 ^ []) = implies(271 ^ [], 272 ^ []))],extension(2 ^ 5,bind([[_62817], [implies(271 ^ [], 272 ^ [])]]))).
% 0.61/1.39  ncf('1.1.1.2',plain,[-(is_a_theorem(implies(and(implies(271 ^ [], 272 ^ []), implies(272 ^ [], 271 ^ [])), implies(271 ^ [], 272 ^ [])))), 80 : is_a_theorem(and(implies(and(implies(271 ^ [], 272 ^ []), implies(272 ^ [], 271 ^ [])), implies(271 ^ [], 272 ^ [])), implies(and(implies(271 ^ [], 272 ^ []), implies(272 ^ [], 271 ^ [])), implies(271 ^ [], 272 ^ [])))), 80 : is_a_theorem(implies(and(implies(and(implies(271 ^ [], 272 ^ []), implies(272 ^ [], 271 ^ [])), implies(271 ^ [], 272 ^ [])), implies(and(implies(271 ^ [], 272 ^ []), implies(272 ^ [], 271 ^ [])), implies(271 ^ [], 272 ^ []))), implies(and(implies(271 ^ [], 272 ^ []), implies(272 ^ [], 271 ^ [])), implies(271 ^ [], 272 ^ [])))), 80 : modus_ponens],extension(76 ^ 3,bind([[_65479, _65481], [implies(and(implies(271 ^ [], 272 ^ []), implies(272 ^ [], 271 ^ [])), implies(271 ^ [], 272 ^ [])), and(implies(and(implies(271 ^ [], 272 ^ []), implies(272 ^ [], 271 ^ [])), implies(271 ^ [], 272 ^ [])), implies(and(implies(271 ^ [], 272 ^ []), implies(272 ^ [], 271 ^ [])), implies(271 ^ [], 272 ^ [])))]]))).
% 0.61/1.39  ncf('1.1.1.2.1',plain,[-(is_a_theorem(and(implies(and(implies(271 ^ [], 272 ^ []), implies(272 ^ [], 271 ^ [])), implies(271 ^ [], 272 ^ [])), implies(and(implies(271 ^ [], 272 ^ []), implies(272 ^ [], 271 ^ [])), implies(271 ^ [], 272 ^ []))))), is_a_theorem(implies(and(implies(271 ^ [], 272 ^ []), implies(272 ^ [], 271 ^ [])), implies(271 ^ [], 272 ^ []))), is_a_theorem(implies(implies(and(implies(271 ^ [], 272 ^ []), implies(272 ^ [], 271 ^ [])), implies(271 ^ [], 272 ^ [])), and(implies(and(implies(271 ^ [], 272 ^ []), implies(272 ^ [], 271 ^ [])), implies(271 ^ [], 272 ^ [])), implies(and(implies(271 ^ [], 272 ^ []), implies(272 ^ [], 271 ^ [])), implies(271 ^ [], 272 ^ [])))))],extension(80 ^ 6,bind([[_65479, _65481], [and(implies(and(implies(271 ^ [], 272 ^ []), implies(272 ^ [], 271 ^ [])), implies(271 ^ [], 272 ^ [])), implies(and(implies(271 ^ [], 272 ^ []), implies(272 ^ [], 271 ^ [])), implies(271 ^ [], 272 ^ []))), implies(and(implies(271 ^ [], 272 ^ []), implies(272 ^ [], 271 ^ [])), implies(271 ^ [], 272 ^ []))]]))).
% 0.61/1.39  ncf('1.1.1.2.1.1',plain,[-(is_a_theorem(implies(and(implies(271 ^ [], 272 ^ []), implies(272 ^ [], 271 ^ [])), implies(271 ^ [], 272 ^ [])))), kn2],extension(319 ^ 7,bind([[_72368, _72370], [implies(272 ^ [], 271 ^ []), implies(271 ^ [], 272 ^ [])]]))).
% 0.61/1.39  ncf('1.1.1.2.1.1.1',plain,[-(kn2)],extension(501 ^ 8)).
% 0.61/1.39  ncf('1.1.1.2.1.2',plain,[-(is_a_theorem(implies(implies(and(implies(271 ^ [], 272 ^ []), implies(272 ^ [], 271 ^ [])), implies(271 ^ [], 272 ^ [])), and(implies(and(implies(271 ^ [], 272 ^ []), implies(272 ^ [], 271 ^ [])), implies(271 ^ [], 272 ^ [])), implies(and(implies(271 ^ [], 272 ^ []), implies(272 ^ [], 271 ^ [])), implies(271 ^ [], 272 ^ [])))))), kn1],extension(306 ^ 7,bind([[_72032], [implies(and(implies(271 ^ [], 272 ^ []), implies(272 ^ [], 271 ^ [])), implies(271 ^ [], 272 ^ []))]]))).
% 0.61/1.39  ncf('1.1.1.2.1.2.1',plain,[-(kn1)],extension(499 ^ 8)).
% 0.61/1.39  ncf('1.1.1.2.2',plain,[-(is_a_theorem(implies(and(implies(and(implies(271 ^ [], 272 ^ []), implies(272 ^ [], 271 ^ [])), implies(271 ^ [], 272 ^ [])), implies(and(implies(271 ^ [], 272 ^ []), implies(272 ^ [], 271 ^ [])), implies(271 ^ [], 272 ^ []))), implies(and(implies(271 ^ [], 272 ^ []), implies(272 ^ [], 271 ^ [])), implies(271 ^ [], 272 ^ []))))), kn2],extension(319 ^ 6,bind([[_72368, _72370], [implies(and(implies(271 ^ [], 272 ^ []), implies(272 ^ [], 271 ^ [])), implies(271 ^ [], 272 ^ [])), implies(and(implies(271 ^ [], 272 ^ []), implies(272 ^ [], 271 ^ [])), implies(271 ^ [], 272 ^ []))]]))).
% 0.61/1.39  ncf('1.1.1.2.2.1',plain,[-(kn2)],extension(501 ^ 7)).
% 0.61/1.39  ncf('1.1.1.2.3',plain,[-(modus_ponens)],extension(497 ^ 4)).
% 0.61/1.39  %-----------------------------------------------------
% 0.61/1.39  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------