TSTP Solution File: GRP416-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP416-1 : TPTP v8.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% 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 : Mon Jun 24 07:00:14 EDT 2024
% Result : Unsatisfiable 58.71s 8.20s
% Output : CNFRefutation 58.71s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0)))))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
cnf(c_60,plain,
inverse(b2) = sP0_iProver_def,
definition ).
cnf(c_61,plain,
multiply(sP0_iProver_def,b2) = sP1_iProver_def,
definition ).
cnf(c_62,plain,
multiply(sP1_iProver_def,a2) = sP2_iProver_def,
definition ).
cnf(c_63,negated_conjecture,
sP2_iProver_def != a2,
inference(demodulation,[status(thm)],[c_50,c_60,c_61,c_62]) ).
cnf(c_100,plain,
inverse(multiply(b2,inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(X0)))),inverse(multiply(inverse(b2),b2)))))) = X0,
inference(superposition,[status(thm)],[c_61,c_49]) ).
cnf(c_105,plain,
inverse(multiply(b2,inverse(multiply(inverse(multiply(inverse(multiply(X0,b2)),multiply(X0,inverse(X1)))),inverse(multiply(sP0_iProver_def,b2)))))) = X1,
inference(superposition,[status(thm)],[c_60,c_49]) ).
cnf(c_107,plain,
multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0))))) = inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,X2))),inverse(multiply(inverse(X3),X3)))))),
inference(superposition,[status(thm)],[c_49,c_49]) ).
cnf(c_108,plain,
inverse(multiply(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0))))),inverse(multiply(inverse(multiply(inverse(multiply(X3,multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0))))))),multiply(X3,inverse(X4)))),inverse(multiply(X2,multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0))))))))))) = X4,
inference(superposition,[status(thm)],[c_49,c_49]) ).
cnf(c_109,plain,
inverse(multiply(b2,inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(X0)))),inverse(sP1_iProver_def))))) = X0,
inference(demodulation,[status(thm)],[c_100,c_60,c_61]) ).
cnf(c_110,plain,
inverse(multiply(b2,inverse(multiply(inverse(multiply(inverse(multiply(X0,b2)),multiply(X0,inverse(X1)))),inverse(sP1_iProver_def))))) = X1,
inference(demodulation,[status(thm)],[c_105,c_61]) ).
cnf(c_111,plain,
multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0))))) = sP3_iProver_def(X2),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_107]) ).
cnf(c_114,plain,
inverse(sP3_iProver_def(X0)) = X0,
inference(demodulation,[status(thm)],[c_49,c_111]) ).
cnf(c_124,plain,
inverse(multiply(b2,inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,sP0_iProver_def))),inverse(sP1_iProver_def))))) = b2,
inference(superposition,[status(thm)],[c_60,c_109]) ).
cnf(c_126,plain,
inverse(multiply(b2,inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,X0))),inverse(sP1_iProver_def))))) = sP3_iProver_def(X0),
inference(superposition,[status(thm)],[c_114,c_109]) ).
cnf(c_127,plain,
multiply(b2,inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(X0)))),inverse(sP1_iProver_def)))) = inverse(multiply(b2,inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,X0))),inverse(sP1_iProver_def))))),
inference(superposition,[status(thm)],[c_109,c_109]) ).
cnf(c_128,plain,
multiply(b2,inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(inverse(X0))))),inverse(sP1_iProver_def)))) = X0,
inference(demodulation,[status(thm)],[c_109,c_127]) ).
cnf(c_132,plain,
sP3_iProver_def(sP0_iProver_def) = b2,
inference(demodulation,[status(thm)],[c_124,c_126]) ).
cnf(c_133,plain,
inverse(multiply(b2,inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)),inverse(sP1_iProver_def))))) = sP3_iProver_def(b2),
inference(superposition,[status(thm)],[c_61,c_126]) ).
cnf(c_136,plain,
multiply(b2,inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(X0)))),inverse(sP1_iProver_def)))) = sP3_iProver_def(X0),
inference(superposition,[status(thm)],[c_114,c_128]) ).
cnf(c_140,plain,
sP3_iProver_def(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_128,c_136]) ).
cnf(c_144,plain,
multiply(b2,inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,X0))),inverse(sP1_iProver_def)))) = sP3_iProver_def(sP3_iProver_def(X0)),
inference(superposition,[status(thm)],[c_126,c_140]) ).
cnf(c_145,plain,
multiply(b2,inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)),inverse(sP1_iProver_def)))) = sP3_iProver_def(sP3_iProver_def(b2)),
inference(superposition,[status(thm)],[c_133,c_140]) ).
cnf(c_160,plain,
inverse(multiply(b2,inverse(multiply(inverse(multiply(inverse(multiply(X0,b2)),multiply(X0,X1))),inverse(sP1_iProver_def))))) = sP3_iProver_def(X1),
inference(superposition,[status(thm)],[c_114,c_110]) ).
cnf(c_161,plain,
multiply(b2,inverse(multiply(inverse(multiply(inverse(multiply(X0,b2)),multiply(X0,inverse(X1)))),inverse(sP1_iProver_def)))) = sP3_iProver_def(X1),
inference(superposition,[status(thm)],[c_110,c_140]) ).
cnf(c_185,plain,
multiply(b2,inverse(multiply(inverse(multiply(inverse(multiply(X0,b2)),multiply(X0,X1))),inverse(sP1_iProver_def)))) = sP3_iProver_def(sP3_iProver_def(X1)),
inference(superposition,[status(thm)],[c_160,c_140]) ).
cnf(c_197,plain,
multiply(b2,inverse(multiply(inverse(multiply(inverse(multiply(b2,b2)),sP3_iProver_def(sP3_iProver_def(X0)))),inverse(sP1_iProver_def)))) = sP3_iProver_def(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,X0))),inverse(sP1_iProver_def))),
inference(superposition,[status(thm)],[c_144,c_161]) ).
cnf(c_216,plain,
sP3_iProver_def(sP3_iProver_def(inverse(multiply(inverse(multiply(inverse(multiply(X0,b2)),multiply(X0,X1))),inverse(sP1_iProver_def))))) = multiply(b2,inverse(multiply(inverse(multiply(inverse(multiply(b2,b2)),sP3_iProver_def(sP3_iProver_def(X1)))),inverse(sP1_iProver_def)))),
inference(superposition,[status(thm)],[c_185,c_185]) ).
cnf(c_220,plain,
multiply(b2,inverse(multiply(inverse(multiply(inverse(multiply(b2,b2)),sP3_iProver_def(sP3_iProver_def(X0)))),inverse(sP1_iProver_def)))) = sP3_iProver_def(multiply(inverse(multiply(inverse(multiply(X1,b2)),multiply(X1,X0))),inverse(sP1_iProver_def))),
inference(demodulation,[status(thm)],[c_216,c_140]) ).
cnf(c_221,plain,
sP3_iProver_def(multiply(inverse(multiply(inverse(multiply(X0,b2)),multiply(X0,X1))),inverse(sP1_iProver_def))) = sP3_iProver_def(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,X1))),inverse(sP1_iProver_def))),
inference(light_normalisation,[status(thm)],[c_220,c_197]) ).
cnf(c_361,plain,
multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,X2))),inverse(multiply(inverse(X0),X0))))) = sP3_iProver_def(sP3_iProver_def(X2)),
inference(superposition,[status(thm)],[c_114,c_111]) ).
cnf(c_366,plain,
multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),sP3_iProver_def(X2))),inverse(multiply(inverse(X0),X0))))) = sP3_iProver_def(multiply(inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,inverse(X2)))),inverse(multiply(inverse(X1),X1)))),
inference(superposition,[status(thm)],[c_111,c_111]) ).
cnf(c_426,plain,
multiply(sP3_iProver_def(X0),inverse(multiply(inverse(multiply(inverse(multiply(X1,sP3_iProver_def(X0))),multiply(X1,X2))),inverse(multiply(X0,sP3_iProver_def(X0)))))) = sP3_iProver_def(sP3_iProver_def(X2)),
inference(superposition,[status(thm)],[c_114,c_361]) ).
cnf(c_686,plain,
multiply(inverse(multiply(inverse(multiply(X0,b2)),multiply(X0,X1))),inverse(sP1_iProver_def)) = inverse(sP3_iProver_def(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,X1))),inverse(sP1_iProver_def)))),
inference(superposition,[status(thm)],[c_221,c_114]) ).
cnf(c_687,plain,
multiply(inverse(multiply(inverse(multiply(X0,b2)),multiply(X0,X1))),inverse(sP1_iProver_def)) = multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,X1))),inverse(sP1_iProver_def)),
inference(demodulation,[status(thm)],[c_686,c_114]) ).
cnf(c_783,plain,
multiply(b2,inverse(multiply(inverse(multiply(inverse(multiply(b2,b2)),sP3_iProver_def(X0))),inverse(sP1_iProver_def)))) = sP3_iProver_def(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(X0)))),inverse(sP1_iProver_def))),
inference(superposition,[status(thm)],[c_140,c_197]) ).
cnf(c_818,plain,
multiply(b2,inverse(multiply(inverse(multiply(inverse(multiply(b2,b2)),X0)),inverse(sP1_iProver_def)))) = sP3_iProver_def(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(inverse(X0))))),inverse(sP1_iProver_def))),
inference(superposition,[status(thm)],[c_140,c_783]) ).
cnf(c_843,plain,
sP3_iProver_def(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(inverse(multiply(b2,X0)))))),inverse(sP1_iProver_def))) = multiply(b2,inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,X0))),inverse(sP1_iProver_def)))),
inference(superposition,[status(thm)],[c_687,c_818]) ).
cnf(c_851,plain,
sP3_iProver_def(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(inverse(multiply(b2,X0)))))),inverse(sP1_iProver_def))) = sP3_iProver_def(sP3_iProver_def(X0)),
inference(demodulation,[status(thm)],[c_843,c_144]) ).
cnf(c_891,plain,
multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(inverse(multiply(b2,X0)))))),inverse(sP1_iProver_def)) = inverse(sP3_iProver_def(sP3_iProver_def(X0))),
inference(superposition,[status(thm)],[c_851,c_114]) ).
cnf(c_892,plain,
multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(inverse(multiply(b2,X0)))))),inverse(sP1_iProver_def)) = sP3_iProver_def(X0),
inference(demodulation,[status(thm)],[c_891,c_114]) ).
cnf(c_911,plain,
multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(inverse(multiply(b2,X1)))))),X0)),sP3_iProver_def(X1))),inverse(multiply(inverse(X0),X0))))) = sP3_iProver_def(sP3_iProver_def(inverse(sP1_iProver_def))),
inference(superposition,[status(thm)],[c_892,c_361]) ).
cnf(c_913,plain,
multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(inverse(multiply(b2,X1)))))),X0)),sP3_iProver_def(X1))),inverse(multiply(inverse(X0),X0))))) = sP3_iProver_def(sP1_iProver_def),
inference(demodulation,[status(thm)],[c_911,c_140]) ).
cnf(c_1877,plain,
multiply(inverse(sP1_iProver_def),inverse(multiply(inverse(multiply(inverse(sP3_iProver_def(X0)),sP3_iProver_def(X0))),inverse(multiply(inverse(inverse(sP1_iProver_def)),inverse(sP1_iProver_def)))))) = sP3_iProver_def(sP1_iProver_def),
inference(superposition,[status(thm)],[c_892,c_913]) ).
cnf(c_1931,plain,
multiply(inverse(sP1_iProver_def),inverse(multiply(inverse(multiply(X0,sP3_iProver_def(X0))),inverse(multiply(inverse(inverse(sP1_iProver_def)),inverse(sP1_iProver_def)))))) = sP3_iProver_def(sP1_iProver_def),
inference(demodulation,[status(thm)],[c_1877,c_114]) ).
cnf(c_2051,plain,
multiply(inverse(sP1_iProver_def),inverse(multiply(inverse(multiply(sP0_iProver_def,b2)),inverse(multiply(inverse(inverse(sP1_iProver_def)),inverse(sP1_iProver_def)))))) = sP3_iProver_def(sP1_iProver_def),
inference(superposition,[status(thm)],[c_132,c_1931]) ).
cnf(c_2052,plain,
multiply(inverse(sP1_iProver_def),inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(inverse(sP1_iProver_def)),inverse(sP1_iProver_def)))))) = sP3_iProver_def(sP1_iProver_def),
inference(superposition,[status(thm)],[c_140,c_1931]) ).
cnf(c_2064,plain,
multiply(inverse(sP1_iProver_def),inverse(multiply(inverse(sP1_iProver_def),inverse(multiply(inverse(inverse(sP1_iProver_def)),inverse(sP1_iProver_def)))))) = sP3_iProver_def(sP1_iProver_def),
inference(demodulation,[status(thm)],[c_2051,c_61]) ).
cnf(c_2081,plain,
multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),X0)),sP3_iProver_def(sP1_iProver_def))),inverse(multiply(inverse(X0),X0))))) = sP3_iProver_def(sP3_iProver_def(inverse(multiply(inverse(sP1_iProver_def),inverse(multiply(inverse(inverse(sP1_iProver_def)),inverse(sP1_iProver_def))))))),
inference(superposition,[status(thm)],[c_2064,c_361]) ).
cnf(c_2083,plain,
multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),X0)),sP3_iProver_def(sP1_iProver_def))),inverse(multiply(inverse(X0),X0))))) = sP3_iProver_def(multiply(inverse(sP1_iProver_def),inverse(multiply(inverse(inverse(sP1_iProver_def)),inverse(sP1_iProver_def))))),
inference(demodulation,[status(thm)],[c_2081,c_140]) ).
cnf(c_2099,plain,
multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),X0)),sP3_iProver_def(sP1_iProver_def))),inverse(multiply(inverse(X0),X0))))) = sP3_iProver_def(sP3_iProver_def(inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(sP1_iProver_def)),inverse(sP1_iProver_def))))))),
inference(superposition,[status(thm)],[c_2052,c_361]) ).
cnf(c_2102,plain,
multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),X0)),sP3_iProver_def(sP1_iProver_def))),inverse(multiply(inverse(X0),X0))))) = sP3_iProver_def(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(sP1_iProver_def)),inverse(sP1_iProver_def))))),
inference(demodulation,[status(thm)],[c_2099,c_140]) ).
cnf(c_2103,plain,
sP3_iProver_def(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(inverse(sP1_iProver_def)),inverse(sP1_iProver_def))))) = sP3_iProver_def(multiply(inverse(sP1_iProver_def),inverse(multiply(inverse(inverse(sP1_iProver_def)),inverse(sP1_iProver_def))))),
inference(light_normalisation,[status(thm)],[c_2102,c_2083]) ).
cnf(c_2123,plain,
multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(inverse(sP1_iProver_def)),inverse(sP1_iProver_def)))) = inverse(sP3_iProver_def(multiply(inverse(sP1_iProver_def),inverse(multiply(inverse(inverse(sP1_iProver_def)),inverse(sP1_iProver_def)))))),
inference(superposition,[status(thm)],[c_2103,c_114]) ).
cnf(c_2127,plain,
multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(inverse(sP1_iProver_def)),inverse(sP1_iProver_def)))) = multiply(inverse(sP1_iProver_def),inverse(multiply(inverse(inverse(sP1_iProver_def)),inverse(sP1_iProver_def)))),
inference(demodulation,[status(thm)],[c_2123,c_114]) ).
cnf(c_2370,plain,
inverse(multiply(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0))))),inverse(multiply(inverse(multiply(inverse(multiply(X3,multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0))))))),sP3_iProver_def(sP3_iProver_def(X4)))),inverse(multiply(X2,multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0))))))))))) = multiply(inverse(multiply(inverse(multiply(X5,X3)),multiply(X5,X4))),inverse(multiply(inverse(X3),X3))),
inference(superposition,[status(thm)],[c_361,c_108]) ).
cnf(c_2385,plain,
inverse(multiply(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0))))),inverse(multiply(inverse(multiply(inverse(multiply(sP3_iProver_def(X3),multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0))))))),sP3_iProver_def(sP3_iProver_def(X4)))),inverse(multiply(X2,multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0))))))))))) = multiply(inverse(multiply(inverse(multiply(X5,sP3_iProver_def(X3))),multiply(X5,X4))),inverse(multiply(X3,sP3_iProver_def(X3)))),
inference(superposition,[status(thm)],[c_426,c_108]) ).
cnf(c_2394,plain,
inverse(multiply(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0))))),inverse(multiply(inverse(multiply(inverse(multiply(X3,multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0))))))),sP3_iProver_def(sP1_iProver_def))),inverse(multiply(X2,multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0))))))))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(inverse(multiply(b2,X4)))))),X3)),sP3_iProver_def(X4))),inverse(multiply(inverse(X3),X3))),
inference(superposition,[status(thm)],[c_913,c_108]) ).
cnf(c_2530,plain,
inverse(multiply(sP3_iProver_def(X0),inverse(multiply(inverse(multiply(inverse(multiply(X1,sP3_iProver_def(X0))),sP3_iProver_def(sP3_iProver_def(X2)))),inverse(multiply(X0,sP3_iProver_def(X0))))))) = multiply(inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,X2))),inverse(multiply(inverse(X1),X1))),
inference(demodulation,[status(thm)],[c_2370,c_140,c_361]) ).
cnf(c_2531,plain,
multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))),inverse(multiply(inverse(X1),X1))) = sP5_iProver_def(X1,X2),
inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_def])],[c_2530]) ).
cnf(c_2539,plain,
inverse(multiply(sP3_iProver_def(X0),inverse(multiply(inverse(multiply(inverse(multiply(sP3_iProver_def(X1),sP3_iProver_def(X0))),sP3_iProver_def(sP3_iProver_def(X2)))),inverse(multiply(X0,sP3_iProver_def(X0))))))) = multiply(inverse(multiply(inverse(multiply(X3,sP3_iProver_def(X1))),multiply(X3,X2))),inverse(multiply(X1,sP3_iProver_def(X1)))),
inference(demodulation,[status(thm)],[c_2385,c_140,c_361]) ).
cnf(c_2540,plain,
multiply(inverse(multiply(inverse(multiply(X0,sP3_iProver_def(X1))),multiply(X0,X2))),inverse(multiply(X1,sP3_iProver_def(X1)))) = sP6_iProver_def(X1,X2),
inference(splitting,[splitting(split),new_symbols(definition,[sP6_iProver_def])],[c_2539]) ).
cnf(c_2553,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(inverse(multiply(b2,X0)))))),X1)),sP3_iProver_def(X0))),inverse(multiply(inverse(X1),X1))) = inverse(multiply(sP3_iProver_def(X2),inverse(multiply(inverse(multiply(inverse(multiply(X1,sP3_iProver_def(X2))),sP3_iProver_def(sP1_iProver_def))),inverse(multiply(X2,sP3_iProver_def(X2))))))),
inference(demodulation,[status(thm)],[c_2394,c_140,c_361]) ).
cnf(c_2555,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(inverse(multiply(b2,X0)))))),X1)),sP3_iProver_def(X0))),inverse(multiply(inverse(X1),X1))) = sP7_iProver_def(X1),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_2553]) ).
cnf(c_2615,plain,
multiply(X0,inverse(sP5_iProver_def(X0,X1))) = sP3_iProver_def(sP3_iProver_def(X1)),
inference(demodulation,[status(thm)],[c_361,c_2531]) ).
cnf(c_2617,plain,
multiply(sP3_iProver_def(X0),inverse(sP6_iProver_def(X0,X1))) = sP3_iProver_def(sP3_iProver_def(X1)),
inference(demodulation,[status(thm)],[c_426,c_2540]) ).
cnf(c_2618,plain,
multiply(X0,inverse(sP7_iProver_def(X0))) = sP3_iProver_def(sP1_iProver_def),
inference(demodulation,[status(thm)],[c_913,c_2555]) ).
cnf(c_3248,plain,
multiply(b2,inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),sP3_iProver_def(sP3_iProver_def(X0)))),inverse(sP1_iProver_def)))) = sP3_iProver_def(sP3_iProver_def(inverse(sP5_iProver_def(sP0_iProver_def,X0)))),
inference(superposition,[status(thm)],[c_2615,c_144]) ).
cnf(c_3254,plain,
multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(inverse(sP3_iProver_def(sP3_iProver_def(X0))))))),inverse(sP1_iProver_def)) = sP3_iProver_def(inverse(sP5_iProver_def(b2,X0))),
inference(superposition,[status(thm)],[c_2615,c_892]) ).
cnf(c_3256,plain,
multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,X0))),inverse(sP1_iProver_def)) = sP5_iProver_def(b2,X0),
inference(demodulation,[status(thm)],[c_3254,c_114,c_140]) ).
cnf(c_3257,plain,
multiply(b2,inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),sP3_iProver_def(sP3_iProver_def(X0)))),inverse(sP1_iProver_def)))) = sP3_iProver_def(sP5_iProver_def(sP0_iProver_def,X0)),
inference(demodulation,[status(thm)],[c_3248,c_140]) ).
cnf(c_3270,plain,
multiply(inverse(multiply(inverse(multiply(X0,b2)),multiply(X0,X1))),inverse(sP1_iProver_def)) = sP5_iProver_def(b2,X1),
inference(demodulation,[status(thm)],[c_687,c_3256]) ).
cnf(c_3275,plain,
sP5_iProver_def(b2,inverse(inverse(multiply(b2,X0)))) = sP3_iProver_def(X0),
inference(demodulation,[status(thm)],[c_892,c_3256]) ).
cnf(c_3301,plain,
sP3_iProver_def(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)),inverse(sP1_iProver_def)))) = sP5_iProver_def(b2,inverse(inverse(sP3_iProver_def(sP3_iProver_def(b2))))),
inference(superposition,[status(thm)],[c_145,c_3275]) ).
cnf(c_3308,plain,
sP5_iProver_def(b2,inverse(inverse(sP3_iProver_def(sP1_iProver_def)))) = sP3_iProver_def(inverse(sP7_iProver_def(b2))),
inference(superposition,[status(thm)],[c_2618,c_3275]) ).
cnf(c_3310,plain,
sP5_iProver_def(b2,inverse(sP1_iProver_def)) = sP7_iProver_def(b2),
inference(demodulation,[status(thm)],[c_3308,c_114,c_140]) ).
cnf(c_3311,plain,
multiply(inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)),inverse(sP1_iProver_def)) = sP5_iProver_def(b2,b2),
inference(demodulation,[status(thm)],[c_3301,c_114,c_140]) ).
cnf(c_3322,plain,
multiply(X0,inverse(sP6_iProver_def(inverse(X0),X1))) = sP3_iProver_def(sP3_iProver_def(X1)),
inference(superposition,[status(thm)],[c_140,c_2617]) ).
cnf(c_3421,plain,
multiply(inverse(multiply(inverse(sP1_iProver_def),sP3_iProver_def(sP3_iProver_def(X0)))),inverse(sP1_iProver_def)) = sP5_iProver_def(b2,inverse(sP5_iProver_def(sP0_iProver_def,X0))),
inference(superposition,[status(thm)],[c_2615,c_3256]) ).
cnf(c_3423,plain,
multiply(inverse(multiply(inverse(sP1_iProver_def),sP3_iProver_def(sP3_iProver_def(X0)))),inverse(sP1_iProver_def)) = sP5_iProver_def(b2,inverse(sP6_iProver_def(inverse(sP0_iProver_def),X0))),
inference(superposition,[status(thm)],[c_3322,c_3256]) ).
cnf(c_3440,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)),b2)),sP5_iProver_def(b2,b2))),inverse(sP1_iProver_def)) = sP5_iProver_def(b2,inverse(sP1_iProver_def)),
inference(superposition,[status(thm)],[c_3311,c_3270]) ).
cnf(c_3458,plain,
multiply(inverse(multiply(inverse(multiply(X0,b2)),sP3_iProver_def(sP3_iProver_def(X1)))),inverse(sP1_iProver_def)) = sP5_iProver_def(b2,inverse(sP5_iProver_def(X0,X1))),
inference(superposition,[status(thm)],[c_2615,c_3270]) ).
cnf(c_3460,plain,
multiply(inverse(multiply(inverse(multiply(X0,b2)),sP3_iProver_def(sP1_iProver_def))),inverse(sP1_iProver_def)) = sP5_iProver_def(b2,inverse(sP7_iProver_def(X0))),
inference(superposition,[status(thm)],[c_2618,c_3270]) ).
cnf(c_3465,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)),b2)),sP5_iProver_def(b2,b2))),inverse(sP1_iProver_def)) = sP7_iProver_def(b2),
inference(demodulation,[status(thm)],[c_3440,c_3310]) ).
cnf(c_3559,plain,
multiply(inverse(multiply(inverse(sP1_iProver_def),sP3_iProver_def(X0))),inverse(sP1_iProver_def)) = sP5_iProver_def(b2,inverse(sP5_iProver_def(sP0_iProver_def,inverse(X0)))),
inference(superposition,[status(thm)],[c_140,c_3421]) ).
cnf(c_3620,plain,
multiply(inverse(multiply(inverse(sP1_iProver_def),X0)),inverse(sP1_iProver_def)) = sP5_iProver_def(b2,inverse(sP5_iProver_def(sP0_iProver_def,inverse(inverse(X0))))),
inference(superposition,[status(thm)],[c_140,c_3559]) ).
cnf(c_3626,plain,
sP5_iProver_def(b2,inverse(sP5_iProver_def(sP0_iProver_def,inverse(inverse(multiply(sP0_iProver_def,X0)))))) = sP5_iProver_def(b2,X0),
inference(demodulation,[status(thm)],[c_3256,c_3620]) ).
cnf(c_3662,plain,
sP3_iProver_def(sP3_iProver_def(inverse(sP5_iProver_def(sP0_iProver_def,inverse(inverse(multiply(sP0_iProver_def,X0))))))) = multiply(b2,inverse(sP5_iProver_def(b2,X0))),
inference(superposition,[status(thm)],[c_3626,c_2615]) ).
cnf(c_3663,plain,
sP3_iProver_def(sP5_iProver_def(sP0_iProver_def,inverse(inverse(multiply(sP0_iProver_def,X0))))) = sP3_iProver_def(sP3_iProver_def(X0)),
inference(demodulation,[status(thm)],[c_3662,c_140,c_2615]) ).
cnf(c_3676,plain,
sP5_iProver_def(sP0_iProver_def,inverse(inverse(multiply(sP0_iProver_def,X0)))) = inverse(sP3_iProver_def(sP3_iProver_def(X0))),
inference(superposition,[status(thm)],[c_3663,c_114]) ).
cnf(c_3677,plain,
sP5_iProver_def(sP0_iProver_def,inverse(inverse(multiply(sP0_iProver_def,X0)))) = sP3_iProver_def(X0),
inference(demodulation,[status(thm)],[c_3676,c_114]) ).
cnf(c_3690,plain,
sP5_iProver_def(sP0_iProver_def,inverse(inverse(sP3_iProver_def(sP3_iProver_def(X0))))) = sP3_iProver_def(inverse(sP6_iProver_def(inverse(sP0_iProver_def),X0))),
inference(superposition,[status(thm)],[c_3322,c_3677]) ).
cnf(c_3693,plain,
sP6_iProver_def(inverse(sP0_iProver_def),X0) = sP5_iProver_def(sP0_iProver_def,X0),
inference(demodulation,[status(thm)],[c_3690,c_114,c_140]) ).
cnf(c_3705,plain,
sP5_iProver_def(b2,inverse(sP5_iProver_def(sP0_iProver_def,inverse(inverse(inverse(sP5_iProver_def(inverse(sP1_iProver_def),X0))))))) = multiply(inverse(sP3_iProver_def(sP3_iProver_def(X0))),inverse(sP1_iProver_def)),
inference(superposition,[status(thm)],[c_2615,c_3620]) ).
cnf(c_3712,plain,
sP5_iProver_def(b2,inverse(sP5_iProver_def(sP0_iProver_def,inverse(inverse(inverse(sP5_iProver_def(inverse(sP1_iProver_def),X0))))))) = multiply(sP3_iProver_def(X0),inverse(sP1_iProver_def)),
inference(demodulation,[status(thm)],[c_3705,c_114]) ).
cnf(c_3742,plain,
multiply(b2,inverse(sP5_iProver_def(b2,inverse(sP5_iProver_def(sP0_iProver_def,X0))))) = sP3_iProver_def(sP5_iProver_def(sP0_iProver_def,X0)),
inference(light_normalisation,[status(thm)],[c_3257,c_3423,c_3693]) ).
cnf(c_3758,plain,
sP3_iProver_def(sP5_iProver_def(sP0_iProver_def,inverse(inverse(inverse(sP5_iProver_def(inverse(sP1_iProver_def),X0)))))) = multiply(b2,inverse(multiply(sP3_iProver_def(X0),inverse(sP1_iProver_def)))),
inference(superposition,[status(thm)],[c_3712,c_3742]) ).
cnf(c_3764,plain,
multiply(inverse(multiply(inverse(sP2_iProver_def),multiply(sP1_iProver_def,X0))),inverse(multiply(inverse(a2),a2))) = sP5_iProver_def(a2,X0),
inference(superposition,[status(thm)],[c_62,c_2531]) ).
cnf(c_3808,plain,
multiply(inverse(multiply(inverse(multiply(X0,X1)),sP3_iProver_def(sP3_iProver_def(X2)))),inverse(multiply(inverse(X1),X1))) = sP5_iProver_def(X1,inverse(sP5_iProver_def(X0,X2))),
inference(superposition,[status(thm)],[c_2615,c_2531]) ).
cnf(c_3827,plain,
multiply(inverse(sP1_iProver_def),inverse(multiply(inverse(inverse(sP1_iProver_def)),inverse(sP1_iProver_def)))) = sP5_iProver_def(inverse(sP1_iProver_def),inverse(sP1_iProver_def)),
inference(superposition,[status(thm)],[c_2531,c_2127]) ).
cnf(c_3846,plain,
multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(inverse(sP1_iProver_def)),inverse(sP1_iProver_def)))) = sP5_iProver_def(inverse(sP1_iProver_def),inverse(sP1_iProver_def)),
inference(demodulation,[status(thm)],[c_2127,c_3827]) ).
cnf(c_3992,plain,
multiply(inverse(multiply(inverse(sP2_iProver_def),sP2_iProver_def)),inverse(multiply(inverse(a2),a2))) = sP5_iProver_def(a2,a2),
inference(superposition,[status(thm)],[c_62,c_3764]) ).
cnf(c_3993,plain,
multiply(inverse(multiply(inverse(sP2_iProver_def),sP3_iProver_def(sP3_iProver_def(X0)))),inverse(multiply(inverse(a2),a2))) = sP5_iProver_def(a2,inverse(sP5_iProver_def(sP1_iProver_def,X0))),
inference(superposition,[status(thm)],[c_2615,c_3764]) ).
cnf(c_4130,plain,
multiply(inverse(multiply(inverse(multiply(X0,b2)),sP3_iProver_def(X1))),inverse(sP1_iProver_def)) = sP5_iProver_def(b2,inverse(sP5_iProver_def(X0,inverse(X1)))),
inference(superposition,[status(thm)],[c_140,c_3458]) ).
cnf(c_4139,plain,
sP5_iProver_def(b2,inverse(sP5_iProver_def(X0,inverse(sP1_iProver_def)))) = sP5_iProver_def(b2,inverse(sP7_iProver_def(X0))),
inference(demodulation,[status(thm)],[c_3460,c_4130]) ).
cnf(c_4151,plain,
multiply(b2,inverse(sP5_iProver_def(b2,inverse(sP7_iProver_def(X0))))) = sP3_iProver_def(sP3_iProver_def(inverse(sP5_iProver_def(X0,inverse(sP1_iProver_def))))),
inference(superposition,[status(thm)],[c_4139,c_2615]) ).
cnf(c_4153,plain,
sP3_iProver_def(sP5_iProver_def(X0,inverse(sP1_iProver_def))) = sP3_iProver_def(sP7_iProver_def(X0)),
inference(demodulation,[status(thm)],[c_4151,c_140,c_2615]) ).
cnf(c_4161,plain,
inverse(sP3_iProver_def(sP7_iProver_def(X0))) = sP5_iProver_def(X0,inverse(sP1_iProver_def)),
inference(superposition,[status(thm)],[c_4153,c_114]) ).
cnf(c_4162,plain,
sP5_iProver_def(X0,inverse(sP1_iProver_def)) = sP7_iProver_def(X0),
inference(demodulation,[status(thm)],[c_4161,c_114]) ).
cnf(c_4166,plain,
multiply(inverse(sP1_iProver_def),inverse(multiply(inverse(inverse(sP1_iProver_def)),inverse(sP1_iProver_def)))) = sP7_iProver_def(inverse(sP1_iProver_def)),
inference(demodulation,[status(thm)],[c_3827,c_4162]) ).
cnf(c_4226,plain,
multiply(inverse(multiply(inverse(sP2_iProver_def),sP3_iProver_def(X0))),inverse(multiply(inverse(a2),a2))) = sP5_iProver_def(a2,inverse(sP5_iProver_def(sP1_iProver_def,inverse(X0)))),
inference(superposition,[status(thm)],[c_140,c_3993]) ).
cnf(c_4324,plain,
inverse(multiply(b2,inverse(multiply(sP3_iProver_def(X0),inverse(sP1_iProver_def))))) = sP5_iProver_def(sP0_iProver_def,inverse(inverse(inverse(sP5_iProver_def(inverse(sP1_iProver_def),X0))))),
inference(superposition,[status(thm)],[c_3758,c_114]) ).
cnf(c_4373,plain,
multiply(inverse(multiply(inverse(multiply(X0,b2)),X1)),inverse(sP1_iProver_def)) = sP5_iProver_def(b2,inverse(sP5_iProver_def(X0,inverse(inverse(X1))))),
inference(superposition,[status(thm)],[c_140,c_4130]) ).
cnf(c_4386,plain,
sP5_iProver_def(b2,inverse(sP5_iProver_def(X0,inverse(inverse(multiply(X0,X1)))))) = sP5_iProver_def(b2,X1),
inference(demodulation,[status(thm)],[c_3270,c_4373]) ).
cnf(c_4389,plain,
sP5_iProver_def(b2,inverse(sP5_iProver_def(inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)),inverse(inverse(sP5_iProver_def(b2,b2)))))) = sP7_iProver_def(b2),
inference(demodulation,[status(thm)],[c_3465,c_4373]) ).
cnf(c_4447,plain,
sP3_iProver_def(sP3_iProver_def(inverse(sP5_iProver_def(X0,inverse(inverse(multiply(X0,X1))))))) = multiply(b2,inverse(sP5_iProver_def(b2,X1))),
inference(superposition,[status(thm)],[c_4386,c_2615]) ).
cnf(c_4449,plain,
sP3_iProver_def(sP5_iProver_def(X0,inverse(inverse(multiply(X0,X1))))) = sP3_iProver_def(sP3_iProver_def(X1)),
inference(demodulation,[status(thm)],[c_4447,c_140,c_2615]) ).
cnf(c_4512,plain,
sP5_iProver_def(X0,inverse(inverse(multiply(X0,X1)))) = inverse(sP3_iProver_def(sP3_iProver_def(X1))),
inference(superposition,[status(thm)],[c_4449,c_114]) ).
cnf(c_4513,plain,
sP5_iProver_def(X0,inverse(inverse(multiply(X0,X1)))) = sP3_iProver_def(X1),
inference(demodulation,[status(thm)],[c_4512,c_114]) ).
cnf(c_4569,plain,
sP5_iProver_def(inverse(multiply(inverse(sP2_iProver_def),sP2_iProver_def)),inverse(inverse(sP5_iProver_def(a2,a2)))) = sP3_iProver_def(inverse(multiply(inverse(a2),a2))),
inference(superposition,[status(thm)],[c_3992,c_4513]) ).
cnf(c_4570,plain,
sP5_iProver_def(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))),inverse(inverse(sP5_iProver_def(X1,X2)))) = sP3_iProver_def(inverse(multiply(inverse(X1),X1))),
inference(superposition,[status(thm)],[c_2531,c_4513]) ).
cnf(c_4586,plain,
sP5_iProver_def(inverse(multiply(inverse(sP1_iProver_def),X0)),inverse(inverse(sP5_iProver_def(b2,inverse(sP5_iProver_def(sP0_iProver_def,inverse(inverse(X0)))))))) = sP3_iProver_def(inverse(sP1_iProver_def)),
inference(superposition,[status(thm)],[c_3620,c_4513]) ).
cnf(c_4597,plain,
sP5_iProver_def(inverse(multiply(inverse(sP2_iProver_def),sP2_iProver_def)),inverse(inverse(sP5_iProver_def(a2,a2)))) = multiply(inverse(a2),a2),
inference(demodulation,[status(thm)],[c_4569,c_140]) ).
cnf(c_4598,plain,
sP5_iProver_def(inverse(multiply(inverse(sP1_iProver_def),X0)),inverse(inverse(sP5_iProver_def(b2,inverse(sP5_iProver_def(sP0_iProver_def,inverse(inverse(X0)))))))) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_4586,c_140]) ).
cnf(c_4609,plain,
sP5_iProver_def(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))),inverse(inverse(sP5_iProver_def(X1,X2)))) = multiply(inverse(X1),X1),
inference(demodulation,[status(thm)],[c_4570,c_140]) ).
cnf(c_4661,plain,
sP3_iProver_def(sP3_iProver_def(inverse(sP5_iProver_def(inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)),inverse(inverse(sP5_iProver_def(b2,b2))))))) = multiply(b2,inverse(sP7_iProver_def(b2))),
inference(superposition,[status(thm)],[c_4389,c_2615]) ).
cnf(c_4662,plain,
sP3_iProver_def(sP5_iProver_def(inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)),inverse(inverse(sP5_iProver_def(b2,b2))))) = sP3_iProver_def(sP1_iProver_def),
inference(demodulation,[status(thm)],[c_4661,c_140,c_2618]) ).
cnf(c_4669,plain,
sP5_iProver_def(inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)),inverse(inverse(sP5_iProver_def(b2,b2)))) = inverse(sP3_iProver_def(sP1_iProver_def)),
inference(superposition,[status(thm)],[c_4662,c_114]) ).
cnf(c_4670,plain,
sP5_iProver_def(inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)),inverse(inverse(sP5_iProver_def(b2,b2)))) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_4669,c_114]) ).
cnf(c_4789,plain,
sP5_iProver_def(inverse(multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,X0))),inverse(inverse(sP5_iProver_def(b2,inverse(sP3_iProver_def(X0)))))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_4513,c_4598]) ).
cnf(c_4795,plain,
sP5_iProver_def(inverse(multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,X0))),inverse(inverse(sP5_iProver_def(b2,X0)))) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_4789,c_114]) ).
cnf(c_5001,plain,
sP5_iProver_def(sP0_iProver_def,inverse(inverse(inverse(sP5_iProver_def(inverse(sP1_iProver_def),inverse(X0)))))) = inverse(multiply(b2,inverse(multiply(X0,inverse(sP1_iProver_def))))),
inference(superposition,[status(thm)],[c_140,c_4324]) ).
cnf(c_5184,plain,
multiply(sP0_iProver_def,inverse(inverse(multiply(b2,inverse(multiply(X0,inverse(sP1_iProver_def))))))) = sP3_iProver_def(sP3_iProver_def(inverse(inverse(inverse(sP5_iProver_def(inverse(sP1_iProver_def),inverse(X0))))))),
inference(superposition,[status(thm)],[c_5001,c_2615]) ).
cnf(c_5191,plain,
multiply(sP0_iProver_def,inverse(inverse(multiply(b2,inverse(multiply(X0,inverse(sP1_iProver_def))))))) = inverse(sP5_iProver_def(inverse(sP1_iProver_def),inverse(X0))),
inference(demodulation,[status(thm)],[c_5184,c_140]) ).
cnf(c_5199,plain,
multiply(sP0_iProver_def,inverse(inverse(multiply(b2,inverse(sP5_iProver_def(b2,inverse(sP5_iProver_def(X0,inverse(inverse(X1)))))))))) = inverse(sP5_iProver_def(inverse(sP1_iProver_def),inverse(inverse(multiply(inverse(multiply(X0,b2)),X1))))),
inference(superposition,[status(thm)],[c_4373,c_5191]) ).
cnf(c_5208,plain,
inverse(sP5_iProver_def(inverse(sP1_iProver_def),inverse(inverse(multiply(inverse(multiply(X0,b2)),X1))))) = multiply(sP0_iProver_def,inverse(sP5_iProver_def(X0,inverse(inverse(X1))))),
inference(demodulation,[status(thm)],[c_5199,c_114,c_140,c_2615]) ).
cnf(c_5812,plain,
multiply(inverse(multiply(inverse(sP2_iProver_def),X0)),inverse(multiply(inverse(a2),a2))) = sP5_iProver_def(a2,inverse(sP5_iProver_def(sP1_iProver_def,inverse(inverse(X0))))),
inference(superposition,[status(thm)],[c_140,c_4226]) ).
cnf(c_6704,plain,
sP5_iProver_def(a2,inverse(sP5_iProver_def(sP1_iProver_def,inverse(inverse(inverse(sP5_iProver_def(inverse(sP2_iProver_def),X0))))))) = multiply(inverse(sP3_iProver_def(sP3_iProver_def(X0))),inverse(multiply(inverse(a2),a2))),
inference(superposition,[status(thm)],[c_2615,c_5812]) ).
cnf(c_6721,plain,
sP5_iProver_def(a2,inverse(sP5_iProver_def(sP1_iProver_def,inverse(inverse(inverse(sP5_iProver_def(inverse(sP2_iProver_def),X0))))))) = multiply(sP3_iProver_def(X0),inverse(multiply(inverse(a2),a2))),
inference(demodulation,[status(thm)],[c_6704,c_114]) ).
cnf(c_7799,plain,
multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(sP5_iProver_def(X0,inverse(inverse(X1)))))) = sP3_iProver_def(sP3_iProver_def(inverse(inverse(multiply(inverse(multiply(X0,b2)),X1))))),
inference(superposition,[status(thm)],[c_5208,c_2615]) ).
cnf(c_7806,plain,
multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(sP5_iProver_def(X0,inverse(inverse(X1)))))) = multiply(inverse(multiply(X0,b2)),X1),
inference(demodulation,[status(thm)],[c_7799,c_140]) ).
cnf(c_7842,plain,
multiply(inverse(multiply(X0,b2)),multiply(X0,X1)) = multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(sP3_iProver_def(X1)))),
inference(superposition,[status(thm)],[c_4513,c_7806]) ).
cnf(c_7914,plain,
multiply(inverse(multiply(X0,b2)),multiply(X0,X1)) = multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,X1)),
inference(demodulation,[status(thm)],[c_7842,c_114]) ).
cnf(c_8065,plain,
sP5_iProver_def(inverse(multiply(X0,b2)),inverse(inverse(multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,X1))))) = sP3_iProver_def(multiply(X0,X1)),
inference(superposition,[status(thm)],[c_7914,c_4513]) ).
cnf(c_8613,plain,
sP5_iProver_def(inverse(multiply(X0,b2)),inverse(inverse(multiply(inverse(sP1_iProver_def),inverse(sP5_iProver_def(inverse(sP1_iProver_def),inverse(X1))))))) = sP3_iProver_def(multiply(X0,inverse(inverse(multiply(b2,inverse(multiply(X1,inverse(sP1_iProver_def)))))))),
inference(superposition,[status(thm)],[c_5191,c_8065]) ).
cnf(c_8628,plain,
sP3_iProver_def(multiply(X0,inverse(inverse(multiply(b2,inverse(multiply(X1,inverse(sP1_iProver_def)))))))) = sP5_iProver_def(inverse(multiply(X0,b2)),inverse(X1)),
inference(demodulation,[status(thm)],[c_8613,c_114,c_140,c_2615]) ).
cnf(c_9238,plain,
multiply(X0,inverse(inverse(multiply(b2,inverse(multiply(X1,inverse(sP1_iProver_def))))))) = inverse(sP5_iProver_def(inverse(multiply(X0,b2)),inverse(X1))),
inference(superposition,[status(thm)],[c_8628,c_114]) ).
cnf(c_11395,plain,
sP3_iProver_def(sP3_iProver_def(inverse(sP5_iProver_def(sP1_iProver_def,inverse(inverse(inverse(sP5_iProver_def(inverse(sP2_iProver_def),X0)))))))) = multiply(a2,inverse(multiply(sP3_iProver_def(X0),inverse(multiply(inverse(a2),a2))))),
inference(superposition,[status(thm)],[c_6721,c_2615]) ).
cnf(c_11401,plain,
multiply(a2,inverse(multiply(sP3_iProver_def(X0),inverse(multiply(inverse(a2),a2))))) = sP3_iProver_def(sP5_iProver_def(sP1_iProver_def,inverse(inverse(inverse(sP5_iProver_def(inverse(sP2_iProver_def),X0)))))),
inference(demodulation,[status(thm)],[c_11395,c_140]) ).
cnf(c_13688,plain,
multiply(inverse(multiply(inverse(multiply(X0,X1)),sP3_iProver_def(X2))),inverse(multiply(inverse(X1),X1))) = sP5_iProver_def(X1,inverse(sP5_iProver_def(X0,inverse(X2)))),
inference(superposition,[status(thm)],[c_140,c_3808]) ).
cnf(c_16607,plain,
sP3_iProver_def(sP5_iProver_def(sP1_iProver_def,inverse(inverse(inverse(sP5_iProver_def(inverse(sP2_iProver_def),inverse(X0))))))) = multiply(a2,inverse(multiply(X0,inverse(multiply(inverse(a2),a2))))),
inference(superposition,[status(thm)],[c_140,c_11401]) ).
cnf(c_19914,plain,
multiply(inverse(multiply(inverse(sP7_iProver_def(inverse(sP1_iProver_def))),sP3_iProver_def(X0))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(sP1_iProver_def)),inverse(sP1_iProver_def)))),inverse(multiply(inverse(inverse(sP1_iProver_def)),inverse(sP1_iProver_def)))))) = sP5_iProver_def(inverse(multiply(inverse(inverse(sP1_iProver_def)),inverse(sP1_iProver_def))),inverse(sP5_iProver_def(inverse(sP1_iProver_def),inverse(X0)))),
inference(superposition,[status(thm)],[c_4166,c_13688]) ).
cnf(c_19989,plain,
multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),inverse(multiply(inverse(X1),X1))) = sP5_iProver_def(X1,inverse(sP5_iProver_def(X0,inverse(inverse(X2))))),
inference(superposition,[status(thm)],[c_140,c_13688]) ).
cnf(c_21336,plain,
inverse(multiply(a2,inverse(multiply(X0,inverse(multiply(inverse(a2),a2)))))) = sP5_iProver_def(sP1_iProver_def,inverse(inverse(inverse(sP5_iProver_def(inverse(sP2_iProver_def),inverse(X0)))))),
inference(superposition,[status(thm)],[c_16607,c_114]) ).
cnf(c_23607,plain,
sP5_iProver_def(sP1_iProver_def,inverse(inverse(inverse(sP5_iProver_def(inverse(sP2_iProver_def),inverse(inverse(multiply(inverse(multiply(X0,a2)),X1)))))))) = inverse(multiply(a2,inverse(sP5_iProver_def(a2,inverse(sP5_iProver_def(X0,inverse(inverse(X1)))))))),
inference(superposition,[status(thm)],[c_19989,c_21336]) ).
cnf(c_23650,plain,
sP5_iProver_def(sP1_iProver_def,inverse(inverse(inverse(sP5_iProver_def(inverse(sP2_iProver_def),inverse(inverse(multiply(inverse(multiply(X0,a2)),X1)))))))) = sP5_iProver_def(X0,inverse(inverse(X1))),
inference(demodulation,[status(thm)],[c_23607,c_114,c_140,c_2615]) ).
cnf(c_24834,plain,
sP3_iProver_def(sP3_iProver_def(inverse(inverse(inverse(sP5_iProver_def(inverse(sP2_iProver_def),inverse(inverse(multiply(inverse(multiply(X0,a2)),X1))))))))) = multiply(sP1_iProver_def,inverse(sP5_iProver_def(X0,inverse(inverse(X1))))),
inference(superposition,[status(thm)],[c_23650,c_2615]) ).
cnf(c_24843,plain,
inverse(sP5_iProver_def(inverse(sP2_iProver_def),inverse(inverse(multiply(inverse(multiply(X0,a2)),X1))))) = multiply(sP1_iProver_def,inverse(sP5_iProver_def(X0,inverse(inverse(X1))))),
inference(demodulation,[status(thm)],[c_24834,c_140]) ).
cnf(c_25264,plain,
multiply(inverse(sP2_iProver_def),multiply(sP1_iProver_def,inverse(sP5_iProver_def(X0,inverse(inverse(X1)))))) = sP3_iProver_def(sP3_iProver_def(inverse(inverse(multiply(inverse(multiply(X0,a2)),X1))))),
inference(superposition,[status(thm)],[c_24843,c_2615]) ).
cnf(c_25268,plain,
multiply(inverse(sP2_iProver_def),multiply(sP1_iProver_def,inverse(sP5_iProver_def(X0,inverse(inverse(X1)))))) = multiply(inverse(multiply(X0,a2)),X1),
inference(demodulation,[status(thm)],[c_25264,c_140]) ).
cnf(c_25328,plain,
multiply(inverse(multiply(X0,a2)),multiply(X0,X1)) = multiply(inverse(sP2_iProver_def),multiply(sP1_iProver_def,inverse(sP3_iProver_def(X1)))),
inference(superposition,[status(thm)],[c_4513,c_25268]) ).
cnf(c_25431,plain,
multiply(inverse(multiply(X0,a2)),multiply(X0,X1)) = multiply(inverse(sP2_iProver_def),multiply(sP1_iProver_def,X1)),
inference(demodulation,[status(thm)],[c_25328,c_114]) ).
cnf(c_25588,plain,
multiply(inverse(sP2_iProver_def),multiply(sP1_iProver_def,inverse(sP5_iProver_def(X0,X1)))) = multiply(inverse(multiply(X0,a2)),sP3_iProver_def(sP3_iProver_def(X1))),
inference(superposition,[status(thm)],[c_2615,c_25431]) ).
cnf(c_25690,plain,
sP5_iProver_def(inverse(multiply(X0,a2)),inverse(inverse(multiply(inverse(sP2_iProver_def),multiply(sP1_iProver_def,X1))))) = sP3_iProver_def(multiply(X0,X1)),
inference(superposition,[status(thm)],[c_25431,c_4513]) ).
cnf(c_26539,plain,
sP5_iProver_def(inverse(multiply(X0,a2)),inverse(inverse(multiply(inverse(sP2_iProver_def),sP2_iProver_def)))) = sP3_iProver_def(multiply(X0,a2)),
inference(superposition,[status(thm)],[c_62,c_25690]) ).
cnf(c_29478,plain,
multiply(inverse(multiply(inverse(inverse(sP1_iProver_def)),inverse(sP1_iProver_def))),inverse(multiply(inverse(multiply(inverse(sP5_iProver_def(inverse(sP1_iProver_def),inverse(sP1_iProver_def))),sP3_iProver_def(X0))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(sP1_iProver_def)),inverse(sP1_iProver_def)))),inverse(multiply(inverse(inverse(sP1_iProver_def)),inverse(sP1_iProver_def)))))))) = sP3_iProver_def(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))),multiply(X1,inverse(X0)))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2)))))),
inference(superposition,[status(thm)],[c_3846,c_366]) ).
cnf(c_30098,plain,
multiply(inverse(multiply(inverse(inverse(sP1_iProver_def)),inverse(sP1_iProver_def))),inverse(multiply(inverse(multiply(inverse(sP7_iProver_def(inverse(sP1_iProver_def))),sP3_iProver_def(X0))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(sP1_iProver_def)),inverse(sP1_iProver_def)))),inverse(multiply(inverse(inverse(sP1_iProver_def)),inverse(sP1_iProver_def)))))))) = sP3_iProver_def(sP5_iProver_def(inverse(multiply(inverse(X1),X1)),inverse(X0))),
inference(demodulation,[status(thm)],[c_29478,c_140,c_4162,c_4513,c_19989]) ).
cnf(c_30099,plain,
multiply(inverse(multiply(inverse(inverse(sP1_iProver_def)),inverse(sP1_iProver_def))),inverse(sP5_iProver_def(inverse(multiply(inverse(inverse(sP1_iProver_def)),inverse(sP1_iProver_def))),inverse(sP5_iProver_def(inverse(sP1_iProver_def),inverse(X0)))))) = sP3_iProver_def(sP5_iProver_def(inverse(multiply(inverse(X1),X1)),inverse(X0))),
inference(light_normalisation,[status(thm)],[c_30098,c_19914]) ).
cnf(c_30100,plain,
sP3_iProver_def(sP5_iProver_def(inverse(multiply(inverse(X0),X0)),inverse(X1))) = sP3_iProver_def(sP5_iProver_def(inverse(sP1_iProver_def),inverse(X1))),
inference(demodulation,[status(thm)],[c_30099,c_140,c_2615]) ).
cnf(c_31078,plain,
sP3_iProver_def(sP5_iProver_def(inverse(multiply(inverse(X0),X0)),X1)) = sP3_iProver_def(sP5_iProver_def(inverse(sP1_iProver_def),X1)),
inference(superposition,[status(thm)],[c_114,c_30100]) ).
cnf(c_31246,plain,
sP5_iProver_def(inverse(multiply(inverse(X0),X0)),X1) = inverse(sP3_iProver_def(sP5_iProver_def(inverse(sP1_iProver_def),X1))),
inference(superposition,[status(thm)],[c_31078,c_114]) ).
cnf(c_31266,plain,
sP5_iProver_def(inverse(multiply(inverse(X0),X0)),X1) = sP5_iProver_def(inverse(sP1_iProver_def),X1),
inference(demodulation,[status(thm)],[c_31246,c_114]) ).
cnf(c_31301,plain,
sP5_iProver_def(inverse(sP1_iProver_def),inverse(inverse(sP5_iProver_def(b2,b2)))) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_4670,c_31266]) ).
cnf(c_31302,plain,
sP5_iProver_def(inverse(sP1_iProver_def),inverse(inverse(sP5_iProver_def(a2,a2)))) = multiply(inverse(a2),a2),
inference(demodulation,[status(thm)],[c_4597,c_31266]) ).
cnf(c_31531,plain,
sP3_iProver_def(sP3_iProver_def(inverse(inverse(sP5_iProver_def(b2,b2))))) = multiply(inverse(sP1_iProver_def),inverse(sP1_iProver_def)),
inference(superposition,[status(thm)],[c_31301,c_2615]) ).
cnf(c_31537,plain,
multiply(inverse(sP1_iProver_def),inverse(sP1_iProver_def)) = sP5_iProver_def(b2,b2),
inference(demodulation,[status(thm)],[c_31531,c_140]) ).
cnf(c_31583,plain,
multiply(X0,inverse(inverse(multiply(b2,inverse(sP5_iProver_def(b2,b2)))))) = inverse(sP5_iProver_def(inverse(multiply(X0,b2)),inverse(inverse(sP1_iProver_def)))),
inference(superposition,[status(thm)],[c_31537,c_9238]) ).
cnf(c_31585,plain,
inverse(sP5_iProver_def(inverse(multiply(X0,b2)),inverse(inverse(sP1_iProver_def)))) = multiply(X0,b2),
inference(demodulation,[status(thm)],[c_31583,c_114,c_2615]) ).
cnf(c_31725,plain,
multiply(inverse(multiply(inverse(X0),X0)),inverse(sP5_iProver_def(inverse(sP1_iProver_def),X1))) = sP3_iProver_def(sP3_iProver_def(X1)),
inference(superposition,[status(thm)],[c_31266,c_2615]) ).
cnf(c_31758,plain,
sP5_iProver_def(inverse(sP1_iProver_def),inverse(inverse(sP5_iProver_def(X0,X0)))) = multiply(inverse(X0),X0),
inference(superposition,[status(thm)],[c_31266,c_4609]) ).
cnf(c_32292,plain,
multiply(inverse(sP1_iProver_def),inverse(multiply(inverse(a2),a2))) = sP3_iProver_def(sP3_iProver_def(inverse(inverse(sP5_iProver_def(a2,a2))))),
inference(superposition,[status(thm)],[c_31302,c_2615]) ).
cnf(c_32298,plain,
multiply(inverse(sP1_iProver_def),inverse(multiply(inverse(a2),a2))) = sP5_iProver_def(a2,a2),
inference(demodulation,[status(thm)],[c_32292,c_140]) ).
cnf(c_32334,plain,
sP5_iProver_def(sP1_iProver_def,inverse(inverse(inverse(sP5_iProver_def(inverse(sP2_iProver_def),inverse(inverse(sP1_iProver_def))))))) = inverse(multiply(a2,inverse(sP5_iProver_def(a2,a2)))),
inference(superposition,[status(thm)],[c_32298,c_21336]) ).
cnf(c_32335,plain,
sP5_iProver_def(sP1_iProver_def,inverse(inverse(inverse(sP5_iProver_def(inverse(sP2_iProver_def),inverse(inverse(sP1_iProver_def))))))) = sP3_iProver_def(a2),
inference(demodulation,[status(thm)],[c_32334,c_114,c_2615]) ).
cnf(c_32409,plain,
multiply(inverse(multiply(X0,b2)),multiply(X0,b2)) = sP3_iProver_def(sP3_iProver_def(inverse(inverse(sP1_iProver_def)))),
inference(superposition,[status(thm)],[c_31585,c_2615]) ).
cnf(c_32417,plain,
multiply(inverse(sP1_iProver_def),sP1_iProver_def) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_32409,c_61,c_140,c_7914]) ).
cnf(c_32484,plain,
multiply(inverse(multiply(inverse(sP1_iProver_def),a2)),sP1_iProver_def) = multiply(inverse(sP2_iProver_def),multiply(sP1_iProver_def,sP1_iProver_def)),
inference(superposition,[status(thm)],[c_32417,c_25431]) ).
cnf(c_32497,plain,
sP5_iProver_def(inverse(sP1_iProver_def),inverse(inverse(sP1_iProver_def))) = sP3_iProver_def(sP1_iProver_def),
inference(superposition,[status(thm)],[c_32417,c_4513]) ).
cnf(c_32627,plain,
multiply(inverse(sP1_iProver_def),inverse(multiply(inverse(X0),X0))) = sP3_iProver_def(sP3_iProver_def(inverse(inverse(sP5_iProver_def(X0,X0))))),
inference(superposition,[status(thm)],[c_31758,c_2615]) ).
cnf(c_32633,plain,
multiply(inverse(sP1_iProver_def),inverse(multiply(inverse(X0),X0))) = sP5_iProver_def(X0,X0),
inference(demodulation,[status(thm)],[c_32627,c_140]) ).
cnf(c_33618,plain,
multiply(inverse(multiply(sP1_iProver_def,a2)),sP3_iProver_def(sP3_iProver_def(inverse(inverse(inverse(sP5_iProver_def(inverse(sP2_iProver_def),inverse(inverse(sP1_iProver_def))))))))) = multiply(inverse(sP2_iProver_def),multiply(sP1_iProver_def,inverse(sP3_iProver_def(a2)))),
inference(superposition,[status(thm)],[c_32335,c_25588]) ).
cnf(c_33630,plain,
multiply(inverse(sP2_iProver_def),sP2_iProver_def) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_33618,c_62,c_114,c_140,c_2615]) ).
cnf(c_33635,plain,
sP5_iProver_def(inverse(multiply(X0,a2)),inverse(inverse(sP1_iProver_def))) = sP3_iProver_def(multiply(X0,a2)),
inference(demodulation,[status(thm)],[c_26539,c_33630]) ).
cnf(c_33771,plain,
sP5_iProver_def(inverse(sP1_iProver_def),inverse(inverse(sP1_iProver_def))) = sP3_iProver_def(multiply(inverse(a2),a2)),
inference(superposition,[status(thm)],[c_33635,c_31266]) ).
cnf(c_33772,plain,
sP3_iProver_def(multiply(inverse(a2),a2)) = sP3_iProver_def(sP1_iProver_def),
inference(demodulation,[status(thm)],[c_33771,c_32497]) ).
cnf(c_33834,plain,
multiply(inverse(a2),a2) = inverse(sP3_iProver_def(sP1_iProver_def)),
inference(superposition,[status(thm)],[c_33772,c_114]) ).
cnf(c_33851,plain,
multiply(inverse(a2),a2) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_33834,c_114]) ).
cnf(c_34187,plain,
multiply(inverse(multiply(inverse(sP2_iProver_def),multiply(sP1_iProver_def,sP1_iProver_def))),inverse(multiply(inverse(a2),a2))) = sP5_iProver_def(a2,inverse(sP5_iProver_def(inverse(sP1_iProver_def),inverse(inverse(sP1_iProver_def))))),
inference(superposition,[status(thm)],[c_32484,c_19989]) ).
cnf(c_34188,plain,
multiply(inverse(multiply(inverse(sP2_iProver_def),multiply(sP1_iProver_def,sP1_iProver_def))),inverse(sP1_iProver_def)) = sP5_iProver_def(a2,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_34187,c_114,c_32497,c_33851]) ).
cnf(c_35117,plain,
multiply(inverse(multiply(inverse(X0),X0)),inverse(sP3_iProver_def(sP1_iProver_def))) = sP3_iProver_def(sP3_iProver_def(inverse(inverse(sP1_iProver_def)))),
inference(superposition,[status(thm)],[c_32497,c_31725]) ).
cnf(c_35149,plain,
multiply(inverse(multiply(inverse(X0),X0)),sP1_iProver_def) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_35117,c_114,c_140]) ).
cnf(c_35327,plain,
sP5_iProver_def(X0,inverse(sP5_iProver_def(inverse(X0),inverse(inverse(sP1_iProver_def))))) = multiply(inverse(sP1_iProver_def),inverse(multiply(inverse(X0),X0))),
inference(superposition,[status(thm)],[c_35149,c_19989]) ).
cnf(c_35328,plain,
sP5_iProver_def(X0,inverse(sP5_iProver_def(inverse(X0),inverse(inverse(sP1_iProver_def))))) = sP5_iProver_def(X0,X0),
inference(demodulation,[status(thm)],[c_35327,c_32633]) ).
cnf(c_36537,plain,
sP3_iProver_def(sP3_iProver_def(inverse(sP5_iProver_def(inverse(X0),inverse(inverse(sP1_iProver_def)))))) = multiply(X0,inverse(sP5_iProver_def(X0,X0))),
inference(superposition,[status(thm)],[c_35328,c_2615]) ).
cnf(c_36563,plain,
sP3_iProver_def(sP5_iProver_def(inverse(X0),inverse(inverse(sP1_iProver_def)))) = sP3_iProver_def(sP3_iProver_def(X0)),
inference(demodulation,[status(thm)],[c_36537,c_140,c_2615]) ).
cnf(c_37383,plain,
sP5_iProver_def(inverse(X0),inverse(inverse(sP1_iProver_def))) = inverse(sP3_iProver_def(sP3_iProver_def(X0))),
inference(superposition,[status(thm)],[c_36563,c_114]) ).
cnf(c_37400,plain,
sP5_iProver_def(inverse(X0),inverse(inverse(sP1_iProver_def))) = sP3_iProver_def(X0),
inference(demodulation,[status(thm)],[c_37383,c_114]) ).
cnf(c_37501,plain,
sP5_iProver_def(X0,inverse(inverse(sP1_iProver_def))) = sP3_iProver_def(sP3_iProver_def(X0)),
inference(superposition,[status(thm)],[c_114,c_37400]) ).
cnf(c_37511,plain,
multiply(inverse(X0),inverse(sP3_iProver_def(X0))) = sP3_iProver_def(sP3_iProver_def(inverse(inverse(sP1_iProver_def)))),
inference(superposition,[status(thm)],[c_37400,c_2615]) ).
cnf(c_37533,plain,
multiply(inverse(X0),X0) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_37511,c_114,c_140]) ).
cnf(c_37551,plain,
multiply(inverse(sP1_iProver_def),inverse(sP1_iProver_def)) = sP5_iProver_def(X0,X0),
inference(demodulation,[status(thm)],[c_32633,c_37533]) ).
cnf(c_37892,plain,
multiply(inverse(sP1_iProver_def),inverse(sP1_iProver_def)) = sP3_iProver_def(sP3_iProver_def(inverse(inverse(sP1_iProver_def)))),
inference(superposition,[status(thm)],[c_37551,c_37501]) ).
cnf(c_37893,plain,
multiply(inverse(sP1_iProver_def),inverse(sP1_iProver_def)) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_37892,c_140]) ).
cnf(c_37901,plain,
sP5_iProver_def(X0,X0) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_37551,c_37893]) ).
cnf(c_37950,plain,
multiply(X0,inverse(sP1_iProver_def)) = sP3_iProver_def(sP3_iProver_def(X0)),
inference(superposition,[status(thm)],[c_37901,c_2615]) ).
cnf(c_37956,plain,
sP5_iProver_def(inverse(multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,b2))),inverse(inverse(sP1_iProver_def))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_37901,c_4795]) ).
cnf(c_37968,plain,
sP7_iProver_def(inverse(sP1_iProver_def)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_37901,c_4162]) ).
cnf(c_37987,plain,
sP3_iProver_def(sP1_iProver_def) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_37956,c_61,c_140,c_37501,c_37533]) ).
cnf(c_38042,plain,
sP3_iProver_def(sP3_iProver_def(inverse(multiply(inverse(sP2_iProver_def),multiply(sP1_iProver_def,sP1_iProver_def))))) = sP5_iProver_def(a2,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_34188,c_37950]) ).
cnf(c_38045,plain,
sP3_iProver_def(multiply(inverse(sP2_iProver_def),multiply(sP1_iProver_def,sP1_iProver_def))) = sP5_iProver_def(a2,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_38042,c_140]) ).
cnf(c_38132,plain,
inverse(sP1_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_37987,c_114]) ).
cnf(c_38155,plain,
sP5_iProver_def(X0,inverse(sP1_iProver_def)) = sP3_iProver_def(sP3_iProver_def(X0)),
inference(demodulation,[status(thm)],[c_37501,c_38132]) ).
cnf(c_38204,plain,
sP5_iProver_def(X0,sP1_iProver_def) = sP7_iProver_def(X0),
inference(demodulation,[status(thm)],[c_4162,c_38132]) ).
cnf(c_38290,plain,
sP7_iProver_def(sP1_iProver_def) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_37968,c_38132]) ).
cnf(c_38367,plain,
multiply(X0,sP1_iProver_def) = sP3_iProver_def(sP3_iProver_def(X0)),
inference(light_normalisation,[status(thm)],[c_37950,c_38132]) ).
cnf(c_38377,plain,
sP3_iProver_def(sP3_iProver_def(X0)) = sP7_iProver_def(X0),
inference(light_normalisation,[status(thm)],[c_38155,c_38132,c_38204]) ).
cnf(c_38378,plain,
multiply(X0,sP1_iProver_def) = sP7_iProver_def(X0),
inference(demodulation,[status(thm)],[c_38367,c_38377]) ).
cnf(c_38391,plain,
sP7_iProver_def(inverse(X0)) = sP3_iProver_def(X0),
inference(superposition,[status(thm)],[c_140,c_38377]) ).
cnf(c_38405,plain,
inverse(sP7_iProver_def(X0)) = sP3_iProver_def(X0),
inference(superposition,[status(thm)],[c_38377,c_114]) ).
cnf(c_38796,plain,
multiply(inverse(sP2_iProver_def),multiply(sP1_iProver_def,sP1_iProver_def)) = inverse(sP5_iProver_def(a2,sP1_iProver_def)),
inference(superposition,[status(thm)],[c_38045,c_114]) ).
cnf(c_38799,plain,
sP3_iProver_def(a2) = sP3_iProver_def(sP2_iProver_def),
inference(demodulation,[status(thm)],[c_38796,c_38204,c_38290,c_38378,c_38391,c_38405]) ).
cnf(c_38841,plain,
inverse(sP3_iProver_def(sP2_iProver_def)) = a2,
inference(superposition,[status(thm)],[c_38799,c_114]) ).
cnf(c_38843,plain,
a2 = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_38841,c_114]) ).
cnf(c_38852,plain,
sP2_iProver_def != sP2_iProver_def,
inference(demodulation,[status(thm)],[c_63,c_38843]) ).
cnf(c_38853,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_38852]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP416-1 : TPTP v8.2.0. Released v2.6.0.
% 0.07/0.12 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n022.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu Jun 20 13:24:24 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.18/0.46 Running UEQ theorem proving
% 0.18/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_j12_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 58.71/8.20 % SZS status Started for theBenchmark.p
% 58.71/8.20 % SZS status Unsatisfiable for theBenchmark.p
% 58.71/8.20
% 58.71/8.20 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 58.71/8.20
% 58.71/8.20 ------ iProver source info
% 58.71/8.20
% 58.71/8.20 git: date: 2024-06-12 09:56:46 +0000
% 58.71/8.20 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 58.71/8.20 git: non_committed_changes: false
% 58.71/8.20
% 58.71/8.20 ------ Parsing...successful
% 58.71/8.20
% 58.71/8.20
% 58.71/8.20
% 58.71/8.20 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 58.71/8.20
% 58.71/8.20 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 58.71/8.20
% 58.71/8.20 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 58.71/8.20 ------ Proving...
% 58.71/8.20 ------ Problem Properties
% 58.71/8.20
% 58.71/8.20
% 58.71/8.20 clauses 5
% 58.71/8.20 conjectures 1
% 58.71/8.20 EPR 1
% 58.71/8.20 Horn 5
% 58.71/8.20 unary 5
% 58.71/8.20 binary 0
% 58.71/8.20 lits 5
% 58.71/8.20 lits eq 5
% 58.71/8.20 fd_pure 0
% 58.71/8.20 fd_pseudo 0
% 58.71/8.20 fd_cond 0
% 58.71/8.20 fd_pseudo_cond 0
% 58.71/8.20 AC symbols 0
% 58.71/8.20
% 58.71/8.20 ------ Input Options Time Limit: Unbounded
% 58.71/8.20
% 58.71/8.20
% 58.71/8.20 ------
% 58.71/8.20 Current options:
% 58.71/8.20 ------
% 58.71/8.20
% 58.71/8.20
% 58.71/8.20
% 58.71/8.20
% 58.71/8.20 ------ Proving...
% 58.71/8.20
% 58.71/8.20
% 58.71/8.20 % SZS status Unsatisfiable for theBenchmark.p
% 58.71/8.20
% 58.71/8.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 58.71/8.20
% 58.71/8.21
%------------------------------------------------------------------------------