TSTP Solution File: GRP431-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP431-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n011.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 3 02:22:34 EDT 2024
% Result : Unsatisfiable 23.65s 3.62s
% Output : CNFRefutation 23.65s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
multiply(X0,inverse(multiply(X1,multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X1))),X0)))) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox2/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_101,plain,
multiply(X0,inverse(multiply(X1,multiply(multiply(multiply(b2,sP0_iProver_def),inverse(multiply(X2,X1))),X0)))) = X2,
inference(superposition,[status(thm)],[c_60,c_49]) ).
cnf(c_103,plain,
multiply(X0,inverse(multiply(b2,multiply(multiply(multiply(X1,inverse(X1)),inverse(sP1_iProver_def)),X0)))) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_61,c_49]) ).
cnf(c_104,plain,
multiply(X0,inverse(multiply(a2,multiply(multiply(multiply(X1,inverse(X1)),inverse(sP2_iProver_def)),X0)))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_62,c_49]) ).
cnf(c_105,plain,
multiply(X0,inverse(multiply(inverse(multiply(X1,multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X1))),X4))),multiply(multiply(multiply(X5,inverse(X5)),inverse(X3)),X0)))) = X4,
inference(superposition,[status(thm)],[c_49,c_49]) ).
cnf(c_106,plain,
multiply(X0,inverse(multiply(multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X3))),multiply(X4,inverse(X4))),multiply(X2,X0)))) = X3,
inference(superposition,[status(thm)],[c_49,c_49]) ).
cnf(c_116,plain,
multiply(X0,inverse(multiply(b2,multiply(multiply(multiply(b2,sP0_iProver_def),inverse(sP1_iProver_def)),X0)))) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_60,c_103]) ).
cnf(c_150,plain,
multiply(X0,inverse(multiply(a2,multiply(multiply(multiply(b2,sP0_iProver_def),inverse(sP2_iProver_def)),X0)))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_60,c_104]) ).
cnf(c_154,plain,
multiply(inverse(multiply(a2,multiply(multiply(multiply(X0,inverse(X0)),inverse(sP2_iProver_def)),multiply(multiply(X1,inverse(X1)),inverse(sP1_iProver_def))))),inverse(multiply(b2,sP1_iProver_def))) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_104,c_103]) ).
cnf(c_200,plain,
multiply(X0,inverse(multiply(multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X3))),multiply(b2,sP0_iProver_def)),multiply(X2,X0)))) = X3,
inference(superposition,[status(thm)],[c_49,c_101]) ).
cnf(c_202,plain,
multiply(X0,inverse(multiply(multiply(multiply(multiply(X1,inverse(X1)),inverse(sP1_iProver_def)),multiply(b2,sP0_iProver_def)),multiply(sP0_iProver_def,X0)))) = b2,
inference(superposition,[status(thm)],[c_103,c_101]) ).
cnf(c_209,plain,
multiply(X0,inverse(multiply(inverse(multiply(b2,multiply(multiply(multiply(X1,inverse(X1)),inverse(sP1_iProver_def)),X2))),multiply(multiply(multiply(b2,sP0_iProver_def),inverse(sP0_iProver_def)),X0)))) = X2,
inference(superposition,[status(thm)],[c_103,c_101]) ).
cnf(c_213,plain,
multiply(X0,inverse(multiply(multiply(multiply(multiply(b2,sP0_iProver_def),inverse(multiply(X1,X2))),multiply(X3,inverse(X3))),multiply(X1,X0)))) = X2,
inference(superposition,[status(thm)],[c_101,c_49]) ).
cnf(c_214,plain,
multiply(inverse(multiply(X0,multiply(multiply(multiply(b2,sP0_iProver_def),inverse(multiply(X1,X0))),multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X4)))))),inverse(multiply(X4,X1))) = X3,
inference(superposition,[status(thm)],[c_101,c_49]) ).
cnf(c_216,plain,
multiply(X0,inverse(multiply(multiply(multiply(multiply(b2,sP0_iProver_def),inverse(multiply(X1,X2))),multiply(b2,sP0_iProver_def)),multiply(X1,X0)))) = X2,
inference(superposition,[status(thm)],[c_101,c_101]) ).
cnf(c_638,plain,
multiply(b2,inverse(multiply(multiply(multiply(multiply(X0,inverse(X0)),inverse(sP1_iProver_def)),multiply(b2,sP0_iProver_def)),sP1_iProver_def))) = b2,
inference(superposition,[status(thm)],[c_61,c_202]) ).
cnf(c_1591,plain,
multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,X2))),multiply(X3,inverse(X3))) = multiply(X4,inverse(multiply(multiply(X1,multiply(b2,sP0_iProver_def)),multiply(X2,X4)))),
inference(superposition,[status(thm)],[c_49,c_200]) ).
cnf(c_1620,plain,
multiply(b2,inverse(multiply(multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(sP0_iProver_def,X1))),multiply(b2,sP0_iProver_def)),sP1_iProver_def))) = X1,
inference(superposition,[status(thm)],[c_61,c_200]) ).
cnf(c_1621,plain,
multiply(a2,inverse(multiply(multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(sP1_iProver_def,X1))),multiply(b2,sP0_iProver_def)),sP2_iProver_def))) = X1,
inference(superposition,[status(thm)],[c_62,c_200]) ).
cnf(c_1896,plain,
multiply(b2,inverse(multiply(multiply(multiply(multiply(b2,sP0_iProver_def),inverse(multiply(sP0_iProver_def,X0))),multiply(b2,sP0_iProver_def)),sP1_iProver_def))) = X0,
inference(superposition,[status(thm)],[c_60,c_1620]) ).
cnf(c_1905,plain,
multiply(b2,inverse(multiply(multiply(multiply(multiply(X0,inverse(X0)),inverse(sP1_iProver_def)),multiply(b2,sP0_iProver_def)),sP1_iProver_def))) = inverse(multiply(a2,multiply(multiply(multiply(b2,sP0_iProver_def),inverse(sP2_iProver_def)),sP0_iProver_def))),
inference(superposition,[status(thm)],[c_150,c_1620]) ).
cnf(c_1914,plain,
inverse(multiply(a2,multiply(multiply(multiply(b2,sP0_iProver_def),inverse(sP2_iProver_def)),sP0_iProver_def))) = b2,
inference(light_normalisation,[status(thm)],[c_1905,c_638]) ).
cnf(c_1988,plain,
multiply(multiply(multiply(b2,sP0_iProver_def),inverse(multiply(X0,sP0_iProver_def))),multiply(b2,sP0_iProver_def)) = multiply(b2,inverse(multiply(multiply(X0,multiply(b2,sP0_iProver_def)),sP1_iProver_def))),
inference(superposition,[status(thm)],[c_101,c_1896]) ).
cnf(c_1989,plain,
multiply(b2,inverse(multiply(multiply(multiply(multiply(b2,sP0_iProver_def),inverse(X0)),multiply(b2,sP0_iProver_def)),sP1_iProver_def))) = inverse(multiply(X1,multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X0,X1))),sP0_iProver_def))),
inference(superposition,[status(thm)],[c_49,c_1896]) ).
cnf(c_2267,plain,
multiply(a2,inverse(multiply(multiply(multiply(multiply(b2,sP0_iProver_def),inverse(multiply(sP1_iProver_def,X0))),multiply(b2,sP0_iProver_def)),sP2_iProver_def))) = X0,
inference(superposition,[status(thm)],[c_60,c_1621]) ).
cnf(c_2490,plain,
multiply(X0,inverse(multiply(multiply(multiply(multiply(b2,sP0_iProver_def),inverse(X1)),multiply(b2,sP0_iProver_def)),multiply(X2,X0)))) = inverse(multiply(X3,multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X1,X3))),X2))),
inference(superposition,[status(thm)],[c_49,c_216]) ).
cnf(c_2512,plain,
multiply(inverse(multiply(X0,multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X0))),X3))),inverse(multiply(multiply(multiply(multiply(b2,sP0_iProver_def),inverse(multiply(X3,X4))),multiply(b2,sP0_iProver_def)),X2))) = X4,
inference(superposition,[status(thm)],[c_49,c_216]) ).
cnf(c_2537,plain,
multiply(X0,inverse(multiply(multiply(X1,multiply(X2,inverse(X2))),multiply(X3,X0)))) = multiply(multiply(multiply(b2,sP0_iProver_def),inverse(multiply(X1,X3))),multiply(b2,sP0_iProver_def)),
inference(superposition,[status(thm)],[c_216,c_49]) ).
cnf(c_3034,plain,
multiply(multiply(multiply(b2,sP0_iProver_def),inverse(multiply(multiply(multiply(b2,sP0_iProver_def),inverse(multiply(X0,X1))),X0))),multiply(b2,sP0_iProver_def)) = X1,
inference(demodulation,[status(thm)],[c_213,c_2537]) ).
cnf(c_3049,plain,
inverse(multiply(inverse(multiply(X0,multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X0))),X3))),multiply(multiply(multiply(X4,inverse(X4)),inverse(X2)),X5))) = multiply(multiply(multiply(b2,sP0_iProver_def),inverse(multiply(multiply(multiply(b2,sP0_iProver_def),inverse(X3)),X5))),multiply(b2,sP0_iProver_def)),
inference(superposition,[status(thm)],[c_105,c_3034]) ).
cnf(c_3052,plain,
multiply(multiply(multiply(b2,sP0_iProver_def),inverse(multiply(multiply(multiply(b2,sP0_iProver_def),inverse(sP0_iProver_def)),X0))),multiply(b2,sP0_iProver_def)) = inverse(multiply(b2,multiply(multiply(multiply(b2,sP0_iProver_def),inverse(sP1_iProver_def)),X0))),
inference(superposition,[status(thm)],[c_116,c_3034]) ).
cnf(c_3082,plain,
multiply(X0,multiply(multiply(multiply(b2,sP0_iProver_def),inverse(multiply(multiply(multiply(b2,sP0_iProver_def),inverse(X1)),X0))),multiply(b2,sP0_iProver_def))) = X1,
inference(demodulation,[status(thm)],[c_105,c_3049]) ).
cnf(c_3310,plain,
multiply(multiply(b2,sP0_iProver_def),multiply(multiply(multiply(b2,sP0_iProver_def),inverse(X0)),multiply(b2,sP0_iProver_def))) = multiply(multiply(multiply(b2,sP0_iProver_def),inverse(multiply(X1,X0))),X1),
inference(superposition,[status(thm)],[c_3034,c_3082]) ).
cnf(c_3319,plain,
multiply(X0,multiply(multiply(multiply(b2,sP0_iProver_def),inverse(multiply(multiply(multiply(b2,sP0_iProver_def),sP0_iProver_def),X0))),multiply(b2,sP0_iProver_def))) = b2,
inference(superposition,[status(thm)],[c_60,c_3082]) ).
cnf(c_3451,plain,
multiply(inverse(multiply(X0,multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X0))),multiply(multiply(b2,sP0_iProver_def),sP0_iProver_def)))),multiply(multiply(multiply(b2,sP0_iProver_def),inverse(X2)),multiply(b2,sP0_iProver_def))) = b2,
inference(superposition,[status(thm)],[c_49,c_3319]) ).
cnf(c_3460,plain,
multiply(X0,inverse(multiply(multiply(multiply(multiply(b2,sP0_iProver_def),inverse(multiply(multiply(multiply(b2,sP0_iProver_def),sP0_iProver_def),X1))),multiply(b2,sP0_iProver_def)),multiply(multiply(multiply(X2,inverse(X2)),inverse(b2)),X0)))) = X1,
inference(superposition,[status(thm)],[c_3319,c_49]) ).
cnf(c_3461,plain,
multiply(multiply(multiply(multiply(b2,sP0_iProver_def),inverse(multiply(multiply(multiply(b2,sP0_iProver_def),sP0_iProver_def),multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,X2)))))),multiply(b2,sP0_iProver_def)),inverse(multiply(X2,b2))) = X1,
inference(superposition,[status(thm)],[c_3319,c_49]) ).
cnf(c_3477,plain,
multiply(X0,inverse(multiply(multiply(multiply(multiply(b2,sP0_iProver_def),inverse(multiply(multiply(multiply(b2,sP0_iProver_def),sP0_iProver_def),X1))),multiply(b2,sP0_iProver_def)),multiply(multiply(multiply(X2,inverse(X2)),sP0_iProver_def),X0)))) = X1,
inference(light_normalisation,[status(thm)],[c_3460,c_60]) ).
cnf(c_3579,plain,
multiply(multiply(multiply(b2,sP0_iProver_def),inverse(multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,X2))),X1))),multiply(b2,sP0_iProver_def)) = X2,
inference(demodulation,[status(thm)],[c_106,c_2537]) ).
cnf(c_3580,plain,
multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,X2))),multiply(X3,inverse(X3))) = multiply(multiply(multiply(b2,sP0_iProver_def),inverse(multiply(X1,X2))),multiply(b2,sP0_iProver_def)),
inference(superposition,[status(thm)],[c_49,c_3579]) ).
cnf(c_3612,plain,
multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,X2))) = multiply(multiply(b2,sP0_iProver_def),inverse(multiply(X1,X2))),
inference(superposition,[status(thm)],[c_3579,c_101]) ).
cnf(c_3995,plain,
multiply(multiply(X0,inverse(X0)),inverse(X1)) = multiply(multiply(b2,sP0_iProver_def),inverse(X1)),
inference(superposition,[status(thm)],[c_1896,c_3612]) ).
cnf(c_4030,plain,
multiply(multiply(X0,inverse(X0)),sP0_iProver_def) = multiply(multiply(b2,sP0_iProver_def),sP0_iProver_def),
inference(superposition,[status(thm)],[c_60,c_3995]) ).
cnf(c_4031,plain,
multiply(multiply(X0,inverse(X0)),b2) = multiply(multiply(b2,sP0_iProver_def),b2),
inference(superposition,[status(thm)],[c_1914,c_3995]) ).
cnf(c_4035,plain,
multiply(inverse(X0),inverse(multiply(sP0_iProver_def,multiply(multiply(b2,sP0_iProver_def),inverse(X0))))) = b2,
inference(superposition,[status(thm)],[c_3995,c_101]) ).
cnf(c_4058,plain,
multiply(multiply(multiply(b2,sP0_iProver_def),inverse(multiply(X0,inverse(X0)))),sP0_iProver_def) = multiply(multiply(b2,sP0_iProver_def),sP0_iProver_def),
inference(superposition,[status(thm)],[c_3995,c_4030]) ).
cnf(c_4063,plain,
multiply(sP0_iProver_def,multiply(multiply(multiply(b2,sP0_iProver_def),inverse(multiply(multiply(b2,sP0_iProver_def),sP0_iProver_def))),multiply(b2,sP0_iProver_def))) = multiply(b2,sP0_iProver_def),
inference(superposition,[status(thm)],[c_4030,c_3082]) ).
cnf(c_4073,plain,
multiply(multiply(multiply(b2,sP0_iProver_def),inverse(multiply(multiply(b2,sP0_iProver_def),b2))),multiply(b2,sP0_iProver_def)) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_4031,c_3034]) ).
cnf(c_4198,plain,
multiply(multiply(b2,sP0_iProver_def),multiply(multiply(multiply(b2,sP0_iProver_def),sP0_iProver_def),multiply(b2,sP0_iProver_def))) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_4073,c_60,c_3310]) ).
cnf(c_4253,plain,
multiply(sP0_iProver_def,inverse(multiply(inverse(X0),multiply(multiply(b2,sP0_iProver_def),sP0_iProver_def)))) = X0,
inference(superposition,[status(thm)],[c_4058,c_101]) ).
cnf(c_4255,plain,
multiply(sP0_iProver_def,multiply(multiply(multiply(b2,sP0_iProver_def),inverse(multiply(multiply(b2,sP0_iProver_def),sP0_iProver_def))),multiply(b2,sP0_iProver_def))) = multiply(X0,inverse(X0)),
inference(superposition,[status(thm)],[c_4058,c_3082]) ).
cnf(c_4256,plain,
multiply(multiply(multiply(b2,sP0_iProver_def),inverse(multiply(multiply(b2,sP0_iProver_def),sP0_iProver_def))),multiply(b2,sP0_iProver_def)) = inverse(sP0_iProver_def),
inference(superposition,[status(thm)],[c_4058,c_3034]) ).
cnf(c_4257,plain,
multiply(X0,inverse(X0)) = multiply(b2,sP0_iProver_def),
inference(light_normalisation,[status(thm)],[c_4255,c_4063]) ).
cnf(c_4271,plain,
multiply(X0,inverse(multiply(sP0_iProver_def,multiply(multiply(b2,sP0_iProver_def),X0)))) = b2,
inference(superposition,[status(thm)],[c_4257,c_101]) ).
cnf(c_4272,plain,
multiply(inverse(multiply(multiply(b2,sP0_iProver_def),inverse(multiply(X0,X1)))),inverse(multiply(X1,multiply(b2,sP0_iProver_def)))) = X0,
inference(superposition,[status(thm)],[c_4257,c_101]) ).
cnf(c_4275,plain,
multiply(inverse(multiply(multiply(b2,sP0_iProver_def),inverse(sP2_iProver_def))),inverse(multiply(a2,multiply(b2,sP0_iProver_def)))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_4257,c_150]) ).
cnf(c_4276,plain,
multiply(a2,inverse(multiply(multiply(multiply(multiply(b2,sP0_iProver_def),inverse(multiply(b2,sP0_iProver_def))),multiply(b2,sP0_iProver_def)),sP2_iProver_def))) = inverse(sP1_iProver_def),
inference(superposition,[status(thm)],[c_4257,c_2267]) ).
cnf(c_4278,plain,
multiply(multiply(multiply(b2,sP0_iProver_def),inverse(multiply(multiply(multiply(b2,sP0_iProver_def),inverse(multiply(b2,sP0_iProver_def))),X0))),multiply(b2,sP0_iProver_def)) = inverse(X0),
inference(superposition,[status(thm)],[c_4257,c_3034]) ).
cnf(c_4281,plain,
multiply(X0,multiply(multiply(multiply(b2,sP0_iProver_def),inverse(multiply(multiply(b2,sP0_iProver_def),X0))),multiply(b2,sP0_iProver_def))) = multiply(b2,sP0_iProver_def),
inference(superposition,[status(thm)],[c_4257,c_3082]) ).
cnf(c_4282,plain,
multiply(inverse(multiply(b2,sP0_iProver_def)),inverse(multiply(sP0_iProver_def,multiply(b2,sP0_iProver_def)))) = b2,
inference(superposition,[status(thm)],[c_4257,c_4035]) ).
cnf(c_4322,plain,
multiply(multiply(multiply(multiply(b2,sP0_iProver_def),sP0_iProver_def),multiply(b2,sP0_iProver_def)),inverse(multiply(sP0_iProver_def,sP0_iProver_def))) = b2,
inference(superposition,[status(thm)],[c_4198,c_4271]) ).
cnf(c_4325,plain,
multiply(X0,inverse(multiply(multiply(multiply(b2,sP0_iProver_def),multiply(b2,sP0_iProver_def)),multiply(b2,X0)))) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_4271,c_101]) ).
cnf(c_4333,plain,
multiply(multiply(multiply(b2,sP0_iProver_def),inverse(multiply(b2,sP0_iProver_def))),multiply(b2,sP0_iProver_def)) = multiply(multiply(b2,sP0_iProver_def),multiply(b2,sP0_iProver_def)),
inference(superposition,[status(thm)],[c_4271,c_3034]) ).
cnf(c_4403,plain,
multiply(b2,inverse(multiply(multiply(multiply(multiply(b2,sP0_iProver_def),inverse(X0)),multiply(b2,sP0_iProver_def)),sP1_iProver_def))) = inverse(multiply(inverse(X0),multiply(multiply(b2,sP0_iProver_def),sP0_iProver_def))),
inference(superposition,[status(thm)],[c_4253,c_1896]) ).
cnf(c_4406,plain,
inverse(multiply(inverse(multiply(sP0_iProver_def,X0)),multiply(multiply(b2,sP0_iProver_def),sP0_iProver_def))) = X0,
inference(demodulation,[status(thm)],[c_1896,c_4403]) ).
cnf(c_4453,plain,
inverse(multiply(inverse(multiply(b2,sP0_iProver_def)),multiply(multiply(b2,sP0_iProver_def),sP0_iProver_def))) = inverse(sP0_iProver_def),
inference(superposition,[status(thm)],[c_4257,c_4406]) ).
cnf(c_4455,plain,
inverse(multiply(b2,multiply(multiply(multiply(b2,sP0_iProver_def),inverse(sP1_iProver_def)),sP0_iProver_def))) = inverse(multiply(inverse(sP0_iProver_def),multiply(multiply(b2,sP0_iProver_def),sP0_iProver_def))),
inference(superposition,[status(thm)],[c_116,c_4406]) ).
cnf(c_4460,plain,
multiply(inverse(multiply(sP0_iProver_def,X0)),multiply(multiply(b2,sP0_iProver_def),sP0_iProver_def)) = multiply(sP0_iProver_def,inverse(multiply(X0,multiply(multiply(b2,sP0_iProver_def),sP0_iProver_def)))),
inference(superposition,[status(thm)],[c_4406,c_4253]) ).
cnf(c_4467,plain,
inverse(multiply(sP0_iProver_def,inverse(multiply(X0,multiply(multiply(b2,sP0_iProver_def),sP0_iProver_def))))) = X0,
inference(demodulation,[status(thm)],[c_4406,c_4460]) ).
cnf(c_4580,plain,
multiply(sP0_iProver_def,inverse(multiply(inverse(sP0_iProver_def),multiply(multiply(b2,sP0_iProver_def),sP0_iProver_def)))) = multiply(inverse(multiply(b2,sP0_iProver_def)),multiply(multiply(b2,sP0_iProver_def),sP0_iProver_def)),
inference(superposition,[status(thm)],[c_4453,c_4253]) ).
cnf(c_4629,plain,
multiply(X0,inverse(multiply(inverse(multiply(sP0_iProver_def,sP0_iProver_def)),multiply(multiply(multiply(b2,sP0_iProver_def),inverse(b2)),X0)))) = multiply(multiply(multiply(b2,sP0_iProver_def),sP0_iProver_def),multiply(b2,sP0_iProver_def)),
inference(superposition,[status(thm)],[c_4322,c_101]) ).
cnf(c_4631,plain,
multiply(X0,inverse(multiply(inverse(multiply(sP0_iProver_def,sP0_iProver_def)),multiply(multiply(multiply(b2,sP0_iProver_def),sP0_iProver_def),X0)))) = multiply(multiply(multiply(b2,sP0_iProver_def),sP0_iProver_def),multiply(b2,sP0_iProver_def)),
inference(light_normalisation,[status(thm)],[c_4629,c_60]) ).
cnf(c_4648,plain,
multiply(multiply(multiply(b2,sP0_iProver_def),inverse(multiply(multiply(multiply(b2,sP0_iProver_def),inverse(sP0_iProver_def)),X0))),multiply(b2,sP0_iProver_def)) = inverse(multiply(multiply(multiply(b2,sP0_iProver_def),multiply(b2,sP0_iProver_def)),multiply(b2,X0))),
inference(superposition,[status(thm)],[c_4325,c_3034]) ).
cnf(c_4654,plain,
inverse(multiply(multiply(multiply(b2,sP0_iProver_def),multiply(b2,sP0_iProver_def)),multiply(b2,X0))) = inverse(multiply(b2,multiply(multiply(multiply(b2,sP0_iProver_def),inverse(sP1_iProver_def)),X0))),
inference(light_normalisation,[status(thm)],[c_4648,c_3052]) ).
cnf(c_4746,plain,
multiply(b2,inverse(multiply(multiply(multiply(b2,sP0_iProver_def),multiply(b2,sP0_iProver_def)),sP1_iProver_def))) = inverse(sP0_iProver_def),
inference(demodulation,[status(thm)],[c_4256,c_1988]) ).
cnf(c_4758,plain,
multiply(inverse(b2),inverse(multiply(multiply(multiply(b2,sP0_iProver_def),multiply(b2,sP0_iProver_def)),multiply(b2,sP0_iProver_def)))) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_4271,c_4272]) ).
cnf(c_4790,plain,
multiply(sP0_iProver_def,inverse(multiply(multiply(multiply(b2,sP0_iProver_def),multiply(b2,sP0_iProver_def)),multiply(b2,sP0_iProver_def)))) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_4758,c_60]) ).
cnf(c_4860,plain,
multiply(inverse(multiply(b2,sP0_iProver_def)),multiply(multiply(b2,sP0_iProver_def),sP0_iProver_def)) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_4790,c_4455,c_4580,c_4654]) ).
cnf(c_4918,plain,
multiply(a2,inverse(multiply(multiply(multiply(b2,sP0_iProver_def),multiply(b2,sP0_iProver_def)),sP2_iProver_def))) = inverse(sP1_iProver_def),
inference(light_normalisation,[status(thm)],[c_4276,c_4333]) ).
cnf(c_4927,plain,
multiply(X0,multiply(multiply(b2,sP0_iProver_def),multiply(multiply(multiply(b2,sP0_iProver_def),inverse(X0)),multiply(b2,sP0_iProver_def)))) = multiply(b2,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_4281,c_3310]) ).
cnf(c_4945,plain,
multiply(multiply(multiply(b2,sP0_iProver_def),inverse(multiply(multiply(multiply(b2,sP0_iProver_def),inverse(multiply(b2,sP0_iProver_def))),X0))),multiply(b2,sP0_iProver_def)) = multiply(multiply(b2,sP0_iProver_def),multiply(multiply(multiply(b2,sP0_iProver_def),inverse(X0)),multiply(b2,sP0_iProver_def))),
inference(superposition,[status(thm)],[c_4927,c_3034]) ).
cnf(c_4951,plain,
multiply(multiply(b2,sP0_iProver_def),multiply(multiply(multiply(b2,sP0_iProver_def),inverse(X0)),multiply(b2,sP0_iProver_def))) = inverse(X0),
inference(light_normalisation,[status(thm)],[c_4945,c_4278]) ).
cnf(c_5029,plain,
multiply(multiply(b2,sP0_iProver_def),multiply(multiply(multiply(b2,sP0_iProver_def),X0),multiply(b2,sP0_iProver_def))) = X0,
inference(superposition,[status(thm)],[c_4467,c_4951]) ).
cnf(c_5037,plain,
multiply(multiply(b2,sP0_iProver_def),multiply(multiply(b2,sP0_iProver_def),multiply(b2,sP0_iProver_def))) = inverse(multiply(b2,sP0_iProver_def)),
inference(superposition,[status(thm)],[c_4257,c_5029]) ).
cnf(c_5045,plain,
multiply(multiply(b2,sP0_iProver_def),inverse(inverse(multiply(X0,multiply(b2,sP0_iProver_def))))) = X0,
inference(superposition,[status(thm)],[c_5029,c_101]) ).
cnf(c_5048,plain,
multiply(multiply(multiply(b2,sP0_iProver_def),X0),multiply(b2,sP0_iProver_def)) = multiply(multiply(b2,sP0_iProver_def),multiply(X0,multiply(b2,sP0_iProver_def))),
inference(superposition,[status(thm)],[c_5029,c_5029]) ).
cnf(c_5053,plain,
multiply(multiply(b2,sP0_iProver_def),multiply(multiply(b2,sP0_iProver_def),multiply(X0,multiply(b2,sP0_iProver_def)))) = X0,
inference(demodulation,[status(thm)],[c_5029,c_5048]) ).
cnf(c_5121,plain,
multiply(inverse(inverse(multiply(X0,multiply(b2,sP0_iProver_def)))),inverse(multiply(sP0_iProver_def,X0))) = b2,
inference(superposition,[status(thm)],[c_5045,c_4271]) ).
cnf(c_5139,plain,
multiply(X0,inverse(multiply(inverse(multiply(sP0_iProver_def,X1)),multiply(multiply(multiply(b2,sP0_iProver_def),inverse(b2)),X0)))) = inverse(inverse(multiply(X1,multiply(b2,sP0_iProver_def)))),
inference(superposition,[status(thm)],[c_5121,c_101]) ).
cnf(c_5145,plain,
multiply(X0,inverse(multiply(inverse(multiply(sP0_iProver_def,X1)),multiply(multiply(multiply(b2,sP0_iProver_def),sP0_iProver_def),X0)))) = inverse(inverse(multiply(X1,multiply(b2,sP0_iProver_def)))),
inference(light_normalisation,[status(thm)],[c_5139,c_60]) ).
cnf(c_5176,plain,
multiply(multiply(multiply(b2,sP0_iProver_def),multiply(X0,multiply(b2,sP0_iProver_def))),inverse(multiply(sP0_iProver_def,X0))) = b2,
inference(superposition,[status(thm)],[c_5053,c_4271]) ).
cnf(c_5258,plain,
multiply(X0,inverse(multiply(inverse(multiply(sP0_iProver_def,X1)),multiply(multiply(multiply(b2,sP0_iProver_def),inverse(b2)),X0)))) = multiply(multiply(b2,sP0_iProver_def),multiply(X1,multiply(b2,sP0_iProver_def))),
inference(superposition,[status(thm)],[c_5176,c_101]) ).
cnf(c_5264,plain,
multiply(multiply(b2,sP0_iProver_def),multiply(X0,multiply(b2,sP0_iProver_def))) = inverse(inverse(multiply(X0,multiply(b2,sP0_iProver_def)))),
inference(light_normalisation,[status(thm)],[c_5258,c_60,c_5145]) ).
cnf(c_5270,plain,
inverse(inverse(multiply(multiply(b2,sP0_iProver_def),multiply(b2,sP0_iProver_def)))) = inverse(multiply(b2,sP0_iProver_def)),
inference(demodulation,[status(thm)],[c_5037,c_5264]) ).
cnf(c_5274,plain,
multiply(sP0_iProver_def,inverse(multiply(inverse(multiply(b2,sP0_iProver_def)),multiply(multiply(b2,sP0_iProver_def),sP0_iProver_def)))) = inverse(multiply(multiply(b2,sP0_iProver_def),multiply(b2,sP0_iProver_def))),
inference(superposition,[status(thm)],[c_5270,c_4253]) ).
cnf(c_5278,plain,
inverse(multiply(multiply(b2,sP0_iProver_def),multiply(b2,sP0_iProver_def))) = multiply(sP0_iProver_def,inverse(sP0_iProver_def)),
inference(light_normalisation,[status(thm)],[c_5274,c_4860]) ).
cnf(c_5280,plain,
inverse(multiply(multiply(b2,sP0_iProver_def),multiply(b2,sP0_iProver_def))) = multiply(b2,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_5278,c_4257]) ).
cnf(c_5284,plain,
multiply(multiply(b2,sP0_iProver_def),multiply(b2,sP0_iProver_def)) = multiply(b2,sP0_iProver_def),
inference(superposition,[status(thm)],[c_5280,c_4272]) ).
cnf(c_5288,plain,
inverse(multiply(b2,sP0_iProver_def)) = multiply(b2,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_5280,c_5284]) ).
cnf(c_5289,plain,
multiply(a2,inverse(multiply(multiply(b2,sP0_iProver_def),sP2_iProver_def))) = inverse(sP1_iProver_def),
inference(demodulation,[status(thm)],[c_4918,c_5284]) ).
cnf(c_5291,plain,
multiply(b2,inverse(multiply(multiply(b2,sP0_iProver_def),sP1_iProver_def))) = inverse(sP0_iProver_def),
inference(demodulation,[status(thm)],[c_4746,c_5284]) ).
cnf(c_5295,plain,
multiply(multiply(b2,sP0_iProver_def),multiply(multiply(b2,sP0_iProver_def),sP0_iProver_def)) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_4860,c_5288]) ).
cnf(c_5296,plain,
multiply(multiply(b2,sP0_iProver_def),inverse(multiply(sP0_iProver_def,multiply(b2,sP0_iProver_def)))) = b2,
inference(demodulation,[status(thm)],[c_4282,c_5288]) ).
cnf(c_5415,plain,
multiply(multiply(multiply(b2,sP0_iProver_def),sP0_iProver_def),inverse(multiply(sP0_iProver_def,sP0_iProver_def))) = b2,
inference(superposition,[status(thm)],[c_5295,c_4271]) ).
cnf(c_5505,plain,
multiply(multiply(multiply(b2,sP0_iProver_def),inverse(multiply(X0,X1))),multiply(X2,inverse(X2))) = multiply(X3,inverse(multiply(multiply(X0,multiply(b2,sP0_iProver_def)),multiply(X1,X3)))),
inference(light_normalisation,[status(thm)],[c_1591,c_3580,c_4257]) ).
cnf(c_5506,plain,
multiply(X0,inverse(multiply(multiply(X1,multiply(b2,sP0_iProver_def)),multiply(X2,X0)))) = inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(b2,sP0_iProver_def)))),
inference(demodulation,[status(thm)],[c_5505,c_4257,c_5048,c_5264]) ).
cnf(c_5510,plain,
inverse(inverse(multiply(inverse(multiply(X0,sP0_iProver_def)),multiply(b2,sP0_iProver_def)))) = multiply(b2,inverse(multiply(multiply(X0,multiply(b2,sP0_iProver_def)),sP1_iProver_def))),
inference(superposition,[status(thm)],[c_61,c_5506]) ).
cnf(c_5782,plain,
multiply(X0,inverse(multiply(multiply(b2,sP0_iProver_def),multiply(b2,X0)))) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_5296,c_101]) ).
cnf(c_5784,plain,
multiply(inverse(b2),inverse(multiply(multiply(b2,sP0_iProver_def),multiply(b2,sP0_iProver_def)))) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_5296,c_4272]) ).
cnf(c_5787,plain,
multiply(sP0_iProver_def,multiply(b2,sP0_iProver_def)) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_5784,c_60,c_5284,c_5288]) ).
cnf(c_5790,plain,
multiply(multiply(b2,sP0_iProver_def),inverse(sP0_iProver_def)) = b2,
inference(demodulation,[status(thm)],[c_5296,c_5787]) ).
cnf(c_5799,plain,
multiply(inverse(inverse(sP0_iProver_def)),inverse(multiply(sP0_iProver_def,sP0_iProver_def))) = b2,
inference(superposition,[status(thm)],[c_5787,c_5121]) ).
cnf(c_5800,plain,
multiply(multiply(b2,sP0_iProver_def),inverse(inverse(sP0_iProver_def))) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_5787,c_5045]) ).
cnf(c_5842,plain,
multiply(inverse(sP0_iProver_def),inverse(multiply(sP0_iProver_def,b2))) = b2,
inference(superposition,[status(thm)],[c_5790,c_4271]) ).
cnf(c_5843,plain,
multiply(inverse(sP0_iProver_def),inverse(sP1_iProver_def)) = b2,
inference(light_normalisation,[status(thm)],[c_5842,c_61]) ).
cnf(c_5865,plain,
multiply(X0,inverse(multiply(inverse(multiply(sP0_iProver_def,sP0_iProver_def)),multiply(multiply(multiply(b2,sP0_iProver_def),inverse(b2)),X0)))) = inverse(inverse(sP0_iProver_def)),
inference(superposition,[status(thm)],[c_5799,c_101]) ).
cnf(c_5867,plain,
multiply(multiply(multiply(b2,sP0_iProver_def),sP0_iProver_def),multiply(b2,sP0_iProver_def)) = inverse(inverse(sP0_iProver_def)),
inference(light_normalisation,[status(thm)],[c_5865,c_60,c_4631]) ).
cnf(c_5877,plain,
multiply(X0,inverse(multiply(inverse(multiply(sP0_iProver_def,sP0_iProver_def)),multiply(multiply(multiply(b2,sP0_iProver_def),inverse(b2)),X0)))) = multiply(multiply(b2,sP0_iProver_def),sP0_iProver_def),
inference(superposition,[status(thm)],[c_5415,c_101]) ).
cnf(c_5879,plain,
multiply(multiply(b2,sP0_iProver_def),sP0_iProver_def) = inverse(inverse(sP0_iProver_def)),
inference(light_normalisation,[status(thm)],[c_5877,c_60,c_4631,c_5867]) ).
cnf(c_5887,plain,
inverse(multiply(sP0_iProver_def,inverse(multiply(X0,inverse(inverse(sP0_iProver_def)))))) = X0,
inference(demodulation,[status(thm)],[c_4467,c_5879]) ).
cnf(c_5889,plain,
multiply(sP0_iProver_def,inverse(multiply(inverse(X0),inverse(inverse(sP0_iProver_def))))) = X0,
inference(demodulation,[status(thm)],[c_4253,c_5879]) ).
cnf(c_5985,plain,
multiply(inverse(multiply(multiply(b2,sP0_iProver_def),sP1_iProver_def)),inverse(multiply(multiply(b2,sP0_iProver_def),inverse(sP0_iProver_def)))) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_5291,c_5782]) ).
cnf(c_6000,plain,
multiply(inverse(multiply(multiply(b2,sP0_iProver_def),sP1_iProver_def)),sP0_iProver_def) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_5985,c_60,c_5790]) ).
cnf(c_6104,plain,
multiply(inverse(multiply(multiply(b2,sP0_iProver_def),inverse(sP0_iProver_def))),inverse(multiply(sP0_iProver_def,multiply(b2,sP0_iProver_def)))) = inverse(multiply(multiply(b2,sP0_iProver_def),sP1_iProver_def)),
inference(superposition,[status(thm)],[c_6000,c_4272]) ).
cnf(c_6107,plain,
inverse(multiply(multiply(b2,sP0_iProver_def),sP1_iProver_def)) = multiply(sP0_iProver_def,inverse(sP0_iProver_def)),
inference(light_normalisation,[status(thm)],[c_6104,c_60,c_5787,c_5790]) ).
cnf(c_6108,plain,
multiply(multiply(sP0_iProver_def,inverse(sP0_iProver_def)),sP0_iProver_def) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_6000,c_6107]) ).
cnf(c_6118,plain,
inverse(inverse(sP0_iProver_def)) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_6108,c_4257,c_5879]) ).
cnf(c_6119,plain,
multiply(sP0_iProver_def,inverse(multiply(inverse(X0),sP0_iProver_def))) = X0,
inference(demodulation,[status(thm)],[c_5889,c_6118]) ).
cnf(c_6120,plain,
inverse(multiply(sP0_iProver_def,inverse(multiply(X0,sP0_iProver_def)))) = X0,
inference(demodulation,[status(thm)],[c_5887,c_6118]) ).
cnf(c_6124,plain,
multiply(sP0_iProver_def,inverse(multiply(sP0_iProver_def,sP0_iProver_def))) = b2,
inference(demodulation,[status(thm)],[c_5799,c_6118]) ).
cnf(c_6125,plain,
multiply(multiply(b2,sP0_iProver_def),sP0_iProver_def) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_5800,c_6118]) ).
cnf(c_6128,plain,
multiply(inverse(sP0_iProver_def),sP0_iProver_def) = multiply(b2,sP0_iProver_def),
inference(superposition,[status(thm)],[c_6118,c_4257]) ).
cnf(c_6200,plain,
multiply(X0,inverse(multiply(sP0_iProver_def,multiply(multiply(multiply(b2,sP0_iProver_def),inverse(multiply(b2,sP0_iProver_def))),X0)))) = inverse(sP0_iProver_def),
inference(superposition,[status(thm)],[c_6128,c_101]) ).
cnf(c_6203,plain,
inverse(sP0_iProver_def) = b2,
inference(light_normalisation,[status(thm)],[c_6200,c_4271,c_5284,c_5288]) ).
cnf(c_6210,plain,
multiply(b2,inverse(sP1_iProver_def)) = b2,
inference(demodulation,[status(thm)],[c_5843,c_6203]) ).
cnf(c_6211,plain,
multiply(multiply(b2,sP0_iProver_def),b2) = b2,
inference(demodulation,[status(thm)],[c_5790,c_6203]) ).
cnf(c_6213,plain,
multiply(b2,sP0_iProver_def) = multiply(sP0_iProver_def,b2),
inference(superposition,[status(thm)],[c_6203,c_4257]) ).
cnf(c_6214,plain,
multiply(b2,sP0_iProver_def) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_6213,c_61]) ).
cnf(c_6215,plain,
multiply(sP1_iProver_def,sP0_iProver_def) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_6125,c_6214]) ).
cnf(c_6216,plain,
multiply(X0,inverse(multiply(sP1_iProver_def,multiply(b2,X0)))) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_5782,c_6214]) ).
cnf(c_6217,plain,
multiply(sP0_iProver_def,sP1_iProver_def) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_5787,c_6214]) ).
cnf(c_6219,plain,
inverse(inverse(multiply(inverse(multiply(X0,sP0_iProver_def)),sP1_iProver_def))) = multiply(b2,inverse(multiply(multiply(X0,sP1_iProver_def),sP1_iProver_def))),
inference(demodulation,[status(thm)],[c_5510,c_6214]) ).
cnf(c_6220,plain,
multiply(X0,inverse(multiply(multiply(X1,sP1_iProver_def),multiply(X2,X0)))) = inverse(inverse(multiply(inverse(multiply(X1,X2)),sP1_iProver_def))),
inference(demodulation,[status(thm)],[c_5506,c_6214]) ).
cnf(c_6221,plain,
multiply(a2,inverse(multiply(sP1_iProver_def,sP2_iProver_def))) = inverse(sP1_iProver_def),
inference(demodulation,[status(thm)],[c_5289,c_6214]) ).
cnf(c_6222,plain,
multiply(sP1_iProver_def,sP1_iProver_def) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_5284,c_6214]) ).
cnf(c_6223,plain,
inverse(sP1_iProver_def) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_5288,c_6214]) ).
cnf(c_6224,plain,
multiply(inverse(inverse(multiply(X0,sP1_iProver_def))),inverse(multiply(sP0_iProver_def,X0))) = b2,
inference(demodulation,[status(thm)],[c_5121,c_6214]) ).
cnf(c_6225,plain,
multiply(sP1_iProver_def,inverse(inverse(multiply(X0,sP1_iProver_def)))) = X0,
inference(demodulation,[status(thm)],[c_5045,c_6214]) ).
cnf(c_6227,plain,
multiply(inverse(multiply(sP1_iProver_def,inverse(sP2_iProver_def))),inverse(multiply(a2,sP1_iProver_def))) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_4275,c_6214]) ).
cnf(c_6230,plain,
multiply(X0,inverse(X0)) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_4257,c_6214]) ).
cnf(c_6355,plain,
multiply(inverse(multiply(X0,multiply(multiply(sP1_iProver_def,inverse(multiply(X1,X0))),multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X4)))))),inverse(multiply(X4,X1))) = X3,
inference(light_normalisation,[status(thm)],[c_214,c_6214]) ).
cnf(c_6356,plain,
multiply(inverse(multiply(X0,multiply(multiply(sP1_iProver_def,inverse(multiply(X1,X0))),multiply(sP1_iProver_def,inverse(multiply(X2,X3)))))),inverse(multiply(X3,X1))) = X2,
inference(demodulation,[status(thm)],[c_6355,c_6230]) ).
cnf(c_6359,plain,
multiply(inverse(multiply(a2,multiply(multiply(sP1_iProver_def,inverse(sP2_iProver_def)),multiply(sP1_iProver_def,inverse(multiply(X0,X1)))))),inverse(multiply(X1,sP1_iProver_def))) = X0,
inference(superposition,[status(thm)],[c_62,c_6356]) ).
cnf(c_6864,plain,
multiply(b2,sP1_iProver_def) = b2,
inference(light_normalisation,[status(thm)],[c_6210,c_6223]) ).
cnf(c_6953,plain,
multiply(sP1_iProver_def,b2) = b2,
inference(light_normalisation,[status(thm)],[c_6211,c_6214]) ).
cnf(c_7087,plain,
multiply(multiply(sP0_iProver_def,inverse(multiply(X0,sP0_iProver_def))),X0) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_6120,c_6230]) ).
cnf(c_7735,plain,
multiply(a2,inverse(multiply(sP1_iProver_def,sP2_iProver_def))) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_6221,c_6223]) ).
cnf(c_8214,plain,
multiply(inverse(multiply(a2,multiply(multiply(sP1_iProver_def,inverse(sP2_iProver_def)),multiply(multiply(X0,inverse(X0)),sP1_iProver_def)))),sP0_iProver_def) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_154,c_60,c_6223,c_6230,c_6864]) ).
cnf(c_8215,plain,
multiply(inverse(multiply(a2,multiply(multiply(sP1_iProver_def,inverse(sP2_iProver_def)),sP1_iProver_def))),sP0_iProver_def) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_8214,c_6222,c_6230]) ).
cnf(c_8224,plain,
multiply(a2,multiply(multiply(sP1_iProver_def,inverse(sP2_iProver_def)),sP1_iProver_def)) = multiply(sP0_iProver_def,inverse(sP0_iProver_def)),
inference(superposition,[status(thm)],[c_8215,c_6119]) ).
cnf(c_8225,plain,
multiply(a2,multiply(multiply(sP1_iProver_def,inverse(sP2_iProver_def)),sP1_iProver_def)) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_8224,c_61,c_6203]) ).
cnf(c_8333,plain,
multiply(inverse(inverse(multiply(inverse(multiply(X0,sP0_iProver_def)),sP1_iProver_def))),X0) = b2,
inference(superposition,[status(thm)],[c_6120,c_6224]) ).
cnf(c_8355,plain,
multiply(multiply(b2,inverse(multiply(multiply(X0,sP1_iProver_def),sP1_iProver_def))),X0) = b2,
inference(light_normalisation,[status(thm)],[c_8333,c_6219]) ).
cnf(c_8562,plain,
multiply(multiply(b2,inverse(sP0_iProver_def)),sP0_iProver_def) = b2,
inference(superposition,[status(thm)],[c_6217,c_8355]) ).
cnf(c_8575,plain,
multiply(b2,inverse(multiply(multiply(sP0_iProver_def,sP1_iProver_def),sP1_iProver_def))) = inverse(multiply(sP0_iProver_def,inverse(b2))),
inference(superposition,[status(thm)],[c_8355,c_6120]) ).
cnf(c_8580,plain,
multiply(multiply(b2,b2),sP0_iProver_def) = b2,
inference(light_normalisation,[status(thm)],[c_8562,c_6203]) ).
cnf(c_8583,plain,
inverse(multiply(sP0_iProver_def,sP0_iProver_def)) = multiply(b2,b2),
inference(light_normalisation,[status(thm)],[c_8575,c_60,c_6203,c_6217]) ).
cnf(c_8598,plain,
multiply(sP0_iProver_def,multiply(b2,b2)) = b2,
inference(demodulation,[status(thm)],[c_6124,c_8583]) ).
cnf(c_8661,plain,
multiply(inverse(inverse(multiply(multiply(b2,b2),sP1_iProver_def))),inverse(b2)) = b2,
inference(superposition,[status(thm)],[c_8598,c_6224]) ).
cnf(c_8667,plain,
multiply(inverse(inverse(multiply(multiply(b2,b2),sP1_iProver_def))),sP0_iProver_def) = b2,
inference(light_normalisation,[status(thm)],[c_8661,c_60]) ).
cnf(c_8763,plain,
inverse(multiply(multiply(b2,b2),sP1_iProver_def)) = multiply(sP0_iProver_def,inverse(b2)),
inference(superposition,[status(thm)],[c_8667,c_6119]) ).
cnf(c_8764,plain,
inverse(multiply(multiply(b2,b2),sP1_iProver_def)) = multiply(sP0_iProver_def,sP0_iProver_def),
inference(light_normalisation,[status(thm)],[c_8763,c_60]) ).
cnf(c_8805,plain,
multiply(multiply(multiply(b2,b2),sP1_iProver_def),multiply(sP0_iProver_def,sP0_iProver_def)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_8764,c_6230]) ).
cnf(c_8814,plain,
multiply(sP1_iProver_def,inverse(multiply(sP0_iProver_def,sP0_iProver_def))) = multiply(b2,b2),
inference(superposition,[status(thm)],[c_8764,c_6225]) ).
cnf(c_8815,plain,
multiply(sP1_iProver_def,multiply(b2,b2)) = multiply(b2,b2),
inference(light_normalisation,[status(thm)],[c_8814,c_8583]) ).
cnf(c_8998,plain,
inverse(multiply(X0,multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X0))),sP0_iProver_def))) = inverse(multiply(inverse(X2),sP0_iProver_def)),
inference(light_normalisation,[status(thm)],[c_1989,c_4403,c_6214,c_6215]) ).
cnf(c_8999,plain,
inverse(multiply(X0,multiply(multiply(sP1_iProver_def,inverse(multiply(X1,X0))),sP0_iProver_def))) = inverse(multiply(inverse(X1),sP0_iProver_def)),
inference(demodulation,[status(thm)],[c_8998,c_6230]) ).
cnf(c_9000,plain,
inverse(multiply(multiply(b2,sP1_iProver_def),multiply(sP0_iProver_def,sP0_iProver_def))) = inverse(multiply(inverse(sP1_iProver_def),sP0_iProver_def)),
inference(superposition,[status(thm)],[c_6216,c_8999]) ).
cnf(c_9010,plain,
inverse(multiply(a2,multiply(multiply(sP1_iProver_def,inverse(sP2_iProver_def)),sP0_iProver_def))) = inverse(multiply(inverse(sP1_iProver_def),sP0_iProver_def)),
inference(superposition,[status(thm)],[c_62,c_8999]) ).
cnf(c_9065,plain,
inverse(multiply(b2,multiply(sP0_iProver_def,sP0_iProver_def))) = b2,
inference(light_normalisation,[status(thm)],[c_9000,c_6203,c_6215,c_6223,c_6864]) ).
cnf(c_9072,plain,
inverse(multiply(a2,multiply(multiply(sP1_iProver_def,inverse(sP2_iProver_def)),sP0_iProver_def))) = b2,
inference(light_normalisation,[status(thm)],[c_9010,c_6203,c_6215,c_6223]) ).
cnf(c_9407,plain,
inverse(multiply(multiply(sP0_iProver_def,sP0_iProver_def),multiply(multiply(sP1_iProver_def,b2),sP0_iProver_def))) = inverse(multiply(inverse(b2),sP0_iProver_def)),
inference(superposition,[status(thm)],[c_9065,c_8999]) ).
cnf(c_9412,plain,
inverse(multiply(multiply(sP0_iProver_def,sP0_iProver_def),sP1_iProver_def)) = multiply(b2,b2),
inference(light_normalisation,[status(thm)],[c_9407,c_60,c_6214,c_6953,c_8583]) ).
cnf(c_9614,plain,
multiply(sP0_iProver_def,inverse(multiply(multiply(b2,b2),sP0_iProver_def))) = multiply(multiply(sP0_iProver_def,sP0_iProver_def),sP1_iProver_def),
inference(superposition,[status(thm)],[c_9412,c_6119]) ).
cnf(c_9628,plain,
multiply(multiply(sP0_iProver_def,sP0_iProver_def),sP1_iProver_def) = multiply(sP0_iProver_def,sP0_iProver_def),
inference(light_normalisation,[status(thm)],[c_9614,c_60,c_8580]) ).
cnf(c_10842,plain,
multiply(X0,inverse(multiply(multiply(multiply(sP1_iProver_def,inverse(multiply(sP0_iProver_def,X1))),sP1_iProver_def),multiply(multiply(multiply(X2,inverse(X2)),sP0_iProver_def),X0)))) = X1,
inference(light_normalisation,[status(thm)],[c_3477,c_6214,c_6215]) ).
cnf(c_10843,plain,
multiply(b2,inverse(multiply(multiply(multiply(sP1_iProver_def,inverse(multiply(sP0_iProver_def,X0))),sP1_iProver_def),sP1_iProver_def))) = X0,
inference(demodulation,[status(thm)],[c_10842,c_6215,c_6219,c_6220,c_6230]) ).
cnf(c_10846,plain,
multiply(b2,inverse(multiply(multiply(multiply(sP1_iProver_def,X0),sP1_iProver_def),sP1_iProver_def))) = inverse(multiply(X0,sP0_iProver_def)),
inference(superposition,[status(thm)],[c_6120,c_10843]) ).
cnf(c_10867,plain,
multiply(X0,multiply(sP1_iProver_def,inverse(multiply(sP0_iProver_def,X0)))) = b2,
inference(superposition,[status(thm)],[c_10843,c_8355]) ).
cnf(c_10879,plain,
inverse(multiply(inverse(multiply(sP0_iProver_def,X0)),sP0_iProver_def)) = X0,
inference(demodulation,[status(thm)],[c_10843,c_10846]) ).
cnf(c_11133,plain,
multiply(inverse(multiply(sP0_iProver_def,X0)),sP0_iProver_def) = multiply(sP0_iProver_def,inverse(multiply(X0,sP0_iProver_def))),
inference(superposition,[status(thm)],[c_10879,c_6119]) ).
cnf(c_11213,plain,
multiply(inverse(multiply(X0,sP0_iProver_def)),multiply(sP1_iProver_def,X0)) = b2,
inference(superposition,[status(thm)],[c_6120,c_10867]) ).
cnf(c_11376,plain,
multiply(inverse(multiply(inverse(inverse(multiply(X0,sP1_iProver_def))),sP0_iProver_def)),X0) = b2,
inference(superposition,[status(thm)],[c_6225,c_11213]) ).
cnf(c_11510,plain,
multiply(inverse(multiply(a2,multiply(multiply(sP1_iProver_def,inverse(sP2_iProver_def)),multiply(sP1_iProver_def,inverse(sP1_iProver_def))))),inverse(multiply(multiply(sP0_iProver_def,sP0_iProver_def),sP1_iProver_def))) = multiply(multiply(b2,b2),sP1_iProver_def),
inference(superposition,[status(thm)],[c_8805,c_6359]) ).
cnf(c_11516,plain,
multiply(multiply(b2,b2),sP1_iProver_def) = multiply(b2,b2),
inference(light_normalisation,[status(thm)],[c_11510,c_6222,c_6223,c_8225,c_8583,c_8815,c_9628]) ).
cnf(c_11554,plain,
multiply(a2,multiply(multiply(sP1_iProver_def,inverse(sP2_iProver_def)),sP0_iProver_def)) = multiply(sP0_iProver_def,inverse(multiply(b2,sP0_iProver_def))),
inference(superposition,[status(thm)],[c_9072,c_6119]) ).
cnf(c_11565,plain,
multiply(a2,multiply(multiply(sP1_iProver_def,inverse(sP2_iProver_def)),sP0_iProver_def)) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_11554,c_6214,c_6217,c_6223]) ).
cnf(c_11989,plain,
multiply(inverse(multiply(a2,multiply(multiply(sP1_iProver_def,inverse(sP2_iProver_def)),multiply(sP1_iProver_def,inverse(b2))))),inverse(multiply(X0,sP1_iProver_def))) = inverse(multiply(inverse(inverse(multiply(X0,sP1_iProver_def))),sP0_iProver_def)),
inference(superposition,[status(thm)],[c_11376,c_6359]) ).
cnf(c_12025,plain,
inverse(multiply(inverse(inverse(multiply(X0,sP1_iProver_def))),sP0_iProver_def)) = multiply(b2,inverse(multiply(X0,sP1_iProver_def))),
inference(light_normalisation,[status(thm)],[c_11989,c_60,c_6203,c_6215,c_11565]) ).
cnf(c_12210,plain,
multiply(X0,inverse(multiply(inverse(multiply(b2,multiply(multiply(multiply(X1,inverse(X1)),sP1_iProver_def),X2))),multiply(b2,X0)))) = X2,
inference(light_normalisation,[status(thm)],[c_209,c_6203,c_6214,c_6223,c_6953]) ).
cnf(c_12211,plain,
multiply(X0,inverse(multiply(inverse(multiply(b2,multiply(sP1_iProver_def,X1))),multiply(b2,X0)))) = X1,
inference(demodulation,[status(thm)],[c_12210,c_6222,c_6230]) ).
cnf(c_12219,plain,
multiply(X0,inverse(multiply(inverse(multiply(b2,X1)),multiply(b2,X0)))) = inverse(inverse(multiply(X1,sP1_iProver_def))),
inference(superposition,[status(thm)],[c_6225,c_12211]) ).
cnf(c_12307,plain,
inverse(inverse(multiply(multiply(sP1_iProver_def,X0),sP1_iProver_def))) = X0,
inference(demodulation,[status(thm)],[c_12211,c_12219]) ).
cnf(c_12504,plain,
inverse(inverse(multiply(sP2_iProver_def,sP1_iProver_def))) = a2,
inference(superposition,[status(thm)],[c_62,c_12307]) ).
cnf(c_12540,plain,
multiply(sP0_iProver_def,inverse(multiply(a2,sP0_iProver_def))) = inverse(multiply(sP2_iProver_def,sP1_iProver_def)),
inference(superposition,[status(thm)],[c_12504,c_6119]) ).
cnf(c_12541,plain,
multiply(inverse(multiply(sP2_iProver_def,sP1_iProver_def)),a2) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_12504,c_6230]) ).
cnf(c_12563,plain,
multiply(inverse(multiply(a2,multiply(multiply(sP1_iProver_def,inverse(sP2_iProver_def)),multiply(sP1_iProver_def,inverse(sP1_iProver_def))))),inverse(multiply(a2,sP1_iProver_def))) = inverse(multiply(sP2_iProver_def,sP1_iProver_def)),
inference(superposition,[status(thm)],[c_12541,c_6359]) ).
cnf(c_12569,plain,
multiply(sP1_iProver_def,inverse(multiply(a2,sP1_iProver_def))) = inverse(multiply(sP2_iProver_def,sP1_iProver_def)),
inference(light_normalisation,[status(thm)],[c_12563,c_6222,c_6223,c_8225]) ).
cnf(c_13139,plain,
multiply(inverse(multiply(X0,multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X0))),sP0_iProver_def))),multiply(multiply(sP1_iProver_def,inverse(X2)),sP1_iProver_def)) = b2,
inference(light_normalisation,[status(thm)],[c_3451,c_6214,c_6215]) ).
cnf(c_13140,plain,
multiply(inverse(multiply(inverse(X0),sP0_iProver_def)),multiply(multiply(sP1_iProver_def,inverse(X0)),sP1_iProver_def)) = b2,
inference(demodulation,[status(thm)],[c_13139,c_6230,c_8999]) ).
cnf(c_13163,plain,
multiply(inverse(multiply(X0,sP0_iProver_def)),multiply(multiply(sP1_iProver_def,X0),sP1_iProver_def)) = b2,
inference(superposition,[status(thm)],[c_6120,c_13140]) ).
cnf(c_13640,plain,
multiply(inverse(multiply(inverse(inverse(multiply(X0,sP1_iProver_def))),sP0_iProver_def)),multiply(X0,sP1_iProver_def)) = b2,
inference(superposition,[status(thm)],[c_6225,c_13163]) ).
cnf(c_13669,plain,
multiply(multiply(b2,inverse(multiply(X0,sP1_iProver_def))),multiply(X0,sP1_iProver_def)) = b2,
inference(light_normalisation,[status(thm)],[c_13640,c_12025]) ).
cnf(c_13956,plain,
multiply(multiply(multiply(sP1_iProver_def,inverse(multiply(sP0_iProver_def,multiply(sP1_iProver_def,inverse(multiply(X0,X1)))))),sP1_iProver_def),inverse(multiply(X1,b2))) = X0,
inference(light_normalisation,[status(thm)],[c_3461,c_6214,c_6215,c_6230]) ).
cnf(c_13974,plain,
multiply(multiply(multiply(sP1_iProver_def,inverse(multiply(sP0_iProver_def,multiply(sP1_iProver_def,inverse(sP1_iProver_def))))),sP1_iProver_def),inverse(multiply(inverse(X0),b2))) = X0,
inference(superposition,[status(thm)],[c_6230,c_13956]) ).
cnf(c_13984,plain,
multiply(multiply(multiply(sP1_iProver_def,inverse(multiply(sP0_iProver_def,multiply(sP1_iProver_def,inverse(sP1_iProver_def))))),sP1_iProver_def),inverse(multiply(inverse(multiply(sP1_iProver_def,sP2_iProver_def)),b2))) = a2,
inference(superposition,[status(thm)],[c_7735,c_13956]) ).
cnf(c_14069,plain,
multiply(b2,inverse(multiply(inverse(X0),b2))) = X0,
inference(light_normalisation,[status(thm)],[c_13974,c_6203,c_6217,c_6222,c_6223,c_6864,c_6953]) ).
cnf(c_14082,plain,
multiply(b2,inverse(multiply(inverse(multiply(sP1_iProver_def,sP2_iProver_def)),b2))) = a2,
inference(light_normalisation,[status(thm)],[c_13984,c_6203,c_6217,c_6222,c_6223,c_6864,c_6953]) ).
cnf(c_14501,plain,
multiply(sP1_iProver_def,sP2_iProver_def) = a2,
inference(demodulation,[status(thm)],[c_14082,c_14069]) ).
cnf(c_16383,plain,
inverse(multiply(X0,multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X0))),X3))) = multiply(X4,inverse(multiply(multiply(multiply(sP1_iProver_def,inverse(X2)),sP1_iProver_def),multiply(X3,X4)))),
inference(light_normalisation,[status(thm)],[c_2490,c_6214]) ).
cnf(c_16384,plain,
inverse(multiply(X0,multiply(multiply(sP1_iProver_def,inverse(multiply(X1,X0))),X2))) = inverse(inverse(multiply(inverse(multiply(multiply(sP1_iProver_def,inverse(X1)),X2)),sP1_iProver_def))),
inference(demodulation,[status(thm)],[c_16383,c_6220,c_6230]) ).
cnf(c_16424,plain,
inverse(inverse(multiply(inverse(multiply(multiply(sP1_iProver_def,inverse(multiply(sP0_iProver_def,inverse(multiply(X0,sP0_iProver_def))))),X1)),sP1_iProver_def))) = inverse(multiply(X0,multiply(multiply(sP1_iProver_def,inverse(sP1_iProver_def)),X1))),
inference(superposition,[status(thm)],[c_7087,c_16384]) ).
cnf(c_16576,plain,
inverse(inverse(multiply(inverse(multiply(multiply(sP1_iProver_def,X0),X1)),sP1_iProver_def))) = inverse(multiply(X0,multiply(sP1_iProver_def,X1))),
inference(light_normalisation,[status(thm)],[c_16424,c_6120,c_6222,c_6223]) ).
cnf(c_16606,plain,
inverse(multiply(X0,multiply(multiply(sP1_iProver_def,inverse(multiply(X1,X0))),X2))) = inverse(multiply(inverse(X1),multiply(sP1_iProver_def,X2))),
inference(demodulation,[status(thm)],[c_16384,c_16576]) ).
cnf(c_17454,plain,
multiply(inverse(multiply(X0,multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X0))),X3))),inverse(multiply(multiply(multiply(sP1_iProver_def,inverse(multiply(X3,X4))),sP1_iProver_def),X2))) = X4,
inference(light_normalisation,[status(thm)],[c_2512,c_6214]) ).
cnf(c_17455,plain,
multiply(inverse(multiply(inverse(X0),multiply(sP1_iProver_def,X1))),inverse(multiply(multiply(multiply(sP1_iProver_def,inverse(multiply(X1,X2))),sP1_iProver_def),X0))) = X2,
inference(demodulation,[status(thm)],[c_17454,c_6230,c_16606]) ).
cnf(c_17458,plain,
multiply(inverse(multiply(sP0_iProver_def,multiply(sP1_iProver_def,X0))),inverse(multiply(multiply(multiply(sP1_iProver_def,inverse(multiply(X0,X1))),sP1_iProver_def),b2))) = X1,
inference(superposition,[status(thm)],[c_60,c_17455]) ).
cnf(c_17468,plain,
multiply(inverse(multiply(inverse(X0),sP2_iProver_def)),inverse(multiply(multiply(multiply(sP1_iProver_def,inverse(multiply(a2,X1))),sP1_iProver_def),X0))) = X1,
inference(superposition,[status(thm)],[c_62,c_17455]) ).
cnf(c_17530,plain,
multiply(inverse(multiply(inverse(X0),multiply(sP1_iProver_def,a2))),inverse(multiply(multiply(multiply(sP1_iProver_def,inverse(sP1_iProver_def)),sP1_iProver_def),X0))) = multiply(multiply(sP1_iProver_def,inverse(sP2_iProver_def)),sP1_iProver_def),
inference(superposition,[status(thm)],[c_8225,c_17455]) ).
cnf(c_17643,plain,
multiply(inverse(multiply(inverse(X0),sP2_iProver_def)),inverse(multiply(sP1_iProver_def,X0))) = multiply(multiply(sP1_iProver_def,inverse(sP2_iProver_def)),sP1_iProver_def),
inference(light_normalisation,[status(thm)],[c_17530,c_62,c_6222,c_6223]) ).
cnf(c_18485,plain,
multiply(inverse(multiply(sP0_iProver_def,sP2_iProver_def)),inverse(multiply(multiply(multiply(sP1_iProver_def,inverse(multiply(a2,X0))),sP1_iProver_def),b2))) = X0,
inference(superposition,[status(thm)],[c_60,c_17468]) ).
cnf(c_18505,plain,
multiply(inverse(multiply(inverse(X0),sP2_iProver_def)),inverse(multiply(multiply(multiply(sP1_iProver_def,inverse(sP1_iProver_def)),sP1_iProver_def),X0))) = inverse(a2),
inference(superposition,[status(thm)],[c_6230,c_17468]) ).
cnf(c_18522,plain,
multiply(multiply(sP1_iProver_def,inverse(sP2_iProver_def)),sP1_iProver_def) = inverse(a2),
inference(light_normalisation,[status(thm)],[c_18505,c_6222,c_6223,c_17643]) ).
cnf(c_18627,plain,
multiply(multiply(b2,inverse(inverse(a2))),inverse(a2)) = b2,
inference(superposition,[status(thm)],[c_18522,c_13669]) ).
cnf(c_18632,plain,
multiply(inverse(multiply(inverse(sP2_iProver_def),sP0_iProver_def)),inverse(a2)) = b2,
inference(superposition,[status(thm)],[c_18522,c_13163]) ).
cnf(c_18667,plain,
multiply(multiply(multiply(sP1_iProver_def,inverse(multiply(sP0_iProver_def,multiply(sP1_iProver_def,inverse(b2))))),sP1_iProver_def),inverse(multiply(inverse(a2),b2))) = multiply(b2,inverse(inverse(a2))),
inference(superposition,[status(thm)],[c_18627,c_13956]) ).
cnf(c_18669,plain,
multiply(multiply(b2,b2),inverse(multiply(inverse(a2),b2))) = multiply(b2,inverse(inverse(a2))),
inference(light_normalisation,[status(thm)],[c_18667,c_60,c_6215,c_8583,c_8815,c_11516]) ).
cnf(c_18709,plain,
multiply(multiply(multiply(sP1_iProver_def,inverse(multiply(sP0_iProver_def,multiply(sP1_iProver_def,inverse(b2))))),sP1_iProver_def),inverse(multiply(inverse(a2),b2))) = inverse(multiply(inverse(sP2_iProver_def),sP0_iProver_def)),
inference(superposition,[status(thm)],[c_18632,c_13956]) ).
cnf(c_18711,plain,
inverse(multiply(inverse(sP2_iProver_def),sP0_iProver_def)) = multiply(b2,inverse(inverse(a2))),
inference(light_normalisation,[status(thm)],[c_18709,c_60,c_6215,c_8583,c_8815,c_11516,c_18669]) ).
cnf(c_18841,plain,
multiply(sP0_iProver_def,multiply(b2,inverse(inverse(a2)))) = sP2_iProver_def,
inference(superposition,[status(thm)],[c_18711,c_6119]) ).
cnf(c_18974,plain,
multiply(inverse(multiply(sP0_iProver_def,sP2_iProver_def)),inverse(multiply(multiply(multiply(sP1_iProver_def,inverse(sP1_iProver_def)),sP1_iProver_def),b2))) = inverse(a2),
inference(superposition,[status(thm)],[c_6230,c_18485]) ).
cnf(c_18988,plain,
multiply(inverse(multiply(sP0_iProver_def,sP2_iProver_def)),sP0_iProver_def) = inverse(a2),
inference(light_normalisation,[status(thm)],[c_18974,c_60,c_6222,c_6223,c_6953]) ).
cnf(c_19041,plain,
multiply(inverse(multiply(sP0_iProver_def,multiply(sP1_iProver_def,sP1_iProver_def))),inverse(multiply(multiply(multiply(sP1_iProver_def,inverse(sP2_iProver_def)),sP1_iProver_def),b2))) = a2,
inference(superposition,[status(thm)],[c_62,c_17458]) ).
cnf(c_19042,plain,
multiply(inverse(multiply(sP0_iProver_def,multiply(sP1_iProver_def,X0))),inverse(multiply(multiply(multiply(sP1_iProver_def,inverse(sP1_iProver_def)),sP1_iProver_def),b2))) = inverse(X0),
inference(superposition,[status(thm)],[c_6230,c_17458]) ).
cnf(c_19132,plain,
multiply(b2,inverse(multiply(inverse(a2),b2))) = a2,
inference(light_normalisation,[status(thm)],[c_19041,c_6203,c_6217,c_6222,c_18522]) ).
cnf(c_19139,plain,
multiply(inverse(multiply(sP0_iProver_def,multiply(sP1_iProver_def,X0))),sP0_iProver_def) = inverse(X0),
inference(light_normalisation,[status(thm)],[c_19042,c_60,c_6222,c_6223,c_6953]) ).
cnf(c_22650,plain,
multiply(sP0_iProver_def,inverse(multiply(sP2_iProver_def,sP0_iProver_def))) = inverse(a2),
inference(demodulation,[status(thm)],[c_18988,c_11133]) ).
cnf(c_22659,plain,
multiply(inverse(a2),sP2_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_22650,c_7087]) ).
cnf(c_22660,plain,
inverse(inverse(a2)) = sP2_iProver_def,
inference(superposition,[status(thm)],[c_22650,c_6120]) ).
cnf(c_22663,plain,
multiply(sP0_iProver_def,multiply(b2,sP2_iProver_def)) = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_18841,c_22660]) ).
cnf(c_22664,plain,
inverse(multiply(inverse(sP2_iProver_def),sP0_iProver_def)) = multiply(b2,sP2_iProver_def),
inference(demodulation,[status(thm)],[c_18711,c_22660]) ).
cnf(c_22666,plain,
multiply(multiply(b2,sP2_iProver_def),inverse(a2)) = b2,
inference(demodulation,[status(thm)],[c_18627,c_22660]) ).
cnf(c_22703,plain,
multiply(multiply(multiply(sP1_iProver_def,inverse(multiply(sP0_iProver_def,multiply(sP1_iProver_def,inverse(sP1_iProver_def))))),sP1_iProver_def),inverse(multiply(sP2_iProver_def,b2))) = inverse(a2),
inference(superposition,[status(thm)],[c_22659,c_13956]) ).
cnf(c_22707,plain,
multiply(b2,inverse(multiply(sP2_iProver_def,b2))) = inverse(a2),
inference(light_normalisation,[status(thm)],[c_22703,c_6203,c_6217,c_6222,c_6223,c_6864,c_6953]) ).
cnf(c_22739,plain,
multiply(multiply(b2,sP2_iProver_def),multiply(sP1_iProver_def,inverse(sP2_iProver_def))) = b2,
inference(superposition,[status(thm)],[c_22663,c_10867]) ).
cnf(c_22752,plain,
multiply(inverse(multiply(sP0_iProver_def,multiply(sP1_iProver_def,multiply(b2,sP2_iProver_def)))),inverse(multiply(multiply(multiply(sP1_iProver_def,inverse(b2)),sP1_iProver_def),b2))) = inverse(a2),
inference(superposition,[status(thm)],[c_22666,c_17458]) ).
cnf(c_22756,plain,
multiply(inverse(multiply(sP0_iProver_def,multiply(sP1_iProver_def,multiply(b2,sP2_iProver_def)))),sP1_iProver_def) = inverse(a2),
inference(light_normalisation,[status(thm)],[c_22752,c_60,c_61,c_6215,c_6217,c_6223]) ).
cnf(c_22941,plain,
multiply(inverse(multiply(sP0_iProver_def,multiply(sP1_iProver_def,multiply(b2,sP2_iProver_def)))),inverse(multiply(multiply(multiply(sP1_iProver_def,inverse(b2)),sP1_iProver_def),b2))) = multiply(sP1_iProver_def,inverse(sP2_iProver_def)),
inference(superposition,[status(thm)],[c_22739,c_17458]) ).
cnf(c_22945,plain,
multiply(sP1_iProver_def,inverse(sP2_iProver_def)) = inverse(a2),
inference(light_normalisation,[status(thm)],[c_22941,c_60,c_61,c_6215,c_6217,c_6223,c_22756]) ).
cnf(c_22951,plain,
multiply(inverse(inverse(a2)),inverse(multiply(a2,sP1_iProver_def))) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_6227,c_22945]) ).
cnf(c_22953,plain,
multiply(sP2_iProver_def,inverse(multiply(a2,sP1_iProver_def))) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_22951,c_22660]) ).
cnf(c_26652,plain,
multiply(sP0_iProver_def,inverse(multiply(multiply(sP1_iProver_def,X0),sP0_iProver_def))) = inverse(X0),
inference(demodulation,[status(thm)],[c_19139,c_11133]) ).
cnf(c_26657,plain,
multiply(sP0_iProver_def,inverse(multiply(a2,sP0_iProver_def))) = inverse(sP2_iProver_def),
inference(superposition,[status(thm)],[c_14501,c_26652]) ).
cnf(c_26698,plain,
inverse(multiply(sP2_iProver_def,sP1_iProver_def)) = inverse(sP2_iProver_def),
inference(demodulation,[status(thm)],[c_12540,c_26657]) ).
cnf(c_26699,plain,
multiply(sP1_iProver_def,inverse(multiply(a2,sP1_iProver_def))) = inverse(sP2_iProver_def),
inference(demodulation,[status(thm)],[c_12569,c_26698]) ).
cnf(c_26701,plain,
inverse(inverse(sP2_iProver_def)) = a2,
inference(demodulation,[status(thm)],[c_12504,c_26698]) ).
cnf(c_27044,plain,
multiply(sP0_iProver_def,inverse(multiply(inverse(sP2_iProver_def),sP0_iProver_def))) = multiply(sP2_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_26698,c_6119]) ).
cnf(c_27054,plain,
multiply(sP2_iProver_def,sP1_iProver_def) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_27044,c_22663,c_22664]) ).
cnf(c_29746,plain,
multiply(inverse(multiply(sP0_iProver_def,multiply(sP1_iProver_def,sP1_iProver_def))),inverse(multiply(multiply(multiply(sP1_iProver_def,inverse(inverse(sP2_iProver_def))),sP1_iProver_def),b2))) = inverse(multiply(a2,sP1_iProver_def)),
inference(superposition,[status(thm)],[c_26699,c_17458]) ).
cnf(c_29763,plain,
inverse(multiply(a2,sP1_iProver_def)) = inverse(a2),
inference(light_normalisation,[status(thm)],[c_29746,c_62,c_6203,c_6217,c_6222,c_22707,c_26701,c_27054]) ).
cnf(c_29770,plain,
multiply(sP2_iProver_def,inverse(a2)) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_22953,c_29763]) ).
cnf(c_29810,plain,
multiply(multiply(multiply(sP1_iProver_def,inverse(multiply(sP0_iProver_def,multiply(sP1_iProver_def,inverse(sP1_iProver_def))))),sP1_iProver_def),inverse(multiply(inverse(a2),b2))) = sP2_iProver_def,
inference(superposition,[status(thm)],[c_29770,c_13956]) ).
cnf(c_29811,plain,
a2 = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_29810,c_6203,c_6217,c_6222,c_6223,c_6864,c_6953,c_19132]) ).
cnf(c_29839,plain,
sP2_iProver_def != sP2_iProver_def,
inference(demodulation,[status(thm)],[c_63,c_29811]) ).
cnf(c_29840,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_29839]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GRP431-1 : TPTP v8.1.2. Released v2.6.0.
% 0.10/0.11 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n011.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.32 % CPULimit : 300
% 0.16/0.32 % WCLimit : 300
% 0.16/0.32 % DateTime : Thu May 2 23:54:48 EDT 2024
% 0.16/0.32 % CPUTime :
% 0.17/0.44 Running UEQ theorem proving
% 0.17/0.44 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 23.65/3.62 % SZS status Started for theBenchmark.p
% 23.65/3.62 % SZS status Unsatisfiable for theBenchmark.p
% 23.65/3.62
% 23.65/3.62 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 23.65/3.62
% 23.65/3.62 ------ iProver source info
% 23.65/3.62
% 23.65/3.62 git: date: 2024-05-02 19:28:25 +0000
% 23.65/3.62 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 23.65/3.62 git: non_committed_changes: false
% 23.65/3.62
% 23.65/3.62 ------ Parsing...successful
% 23.65/3.62
% 23.65/3.62
% 23.65/3.62
% 23.65/3.62 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 23.65/3.62
% 23.65/3.62 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 23.65/3.62
% 23.65/3.62 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 23.65/3.62 ------ Proving...
% 23.65/3.62 ------ Problem Properties
% 23.65/3.62
% 23.65/3.62
% 23.65/3.62 clauses 5
% 23.65/3.62 conjectures 1
% 23.65/3.62 EPR 1
% 23.65/3.62 Horn 5
% 23.65/3.62 unary 5
% 23.65/3.62 binary 0
% 23.65/3.62 lits 5
% 23.65/3.62 lits eq 5
% 23.65/3.62 fd_pure 0
% 23.65/3.62 fd_pseudo 0
% 23.65/3.62 fd_cond 0
% 23.65/3.62 fd_pseudo_cond 0
% 23.65/3.62 AC symbols 0
% 23.65/3.62
% 23.65/3.62 ------ Input Options Time Limit: Unbounded
% 23.65/3.62
% 23.65/3.62
% 23.65/3.62 ------
% 23.65/3.62 Current options:
% 23.65/3.62 ------
% 23.65/3.62
% 23.65/3.62
% 23.65/3.62
% 23.65/3.62
% 23.65/3.62 ------ Proving...
% 23.65/3.62
% 23.65/3.62
% 23.65/3.62 % SZS status Unsatisfiable for theBenchmark.p
% 23.65/3.62
% 23.65/3.62 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 23.65/3.63
% 23.65/3.63
%------------------------------------------------------------------------------