TSTP Solution File: GRP504-1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP504-1 : TPTP v8.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n021.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 07:00:29 EDT 2024
% Result : Unsatisfiable 7.93s 1.67s
% Output : CNFRefutation 7.93s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
double_divide(double_divide(X0,inverse(double_divide(X1,X2))),double_divide(inverse(X1),inverse(double_divide(X3,double_divide(X0,X3))))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,plain,
inverse(double_divide(X0,X1)) = multiply(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
cnf(c_51,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
cnf(c_65,plain,
multiply(a3,b3) = sP0_iProver_def,
definition ).
cnf(c_66,plain,
multiply(sP0_iProver_def,c3) = sP1_iProver_def,
definition ).
cnf(c_67,plain,
multiply(b3,c3) = sP2_iProver_def,
definition ).
cnf(c_68,plain,
multiply(a3,sP2_iProver_def) = sP3_iProver_def,
definition ).
cnf(c_69,negated_conjecture,
sP1_iProver_def != sP3_iProver_def,
inference(demodulation,[status(thm)],[c_51,c_67,c_68,c_65,c_66]) ).
cnf(c_122,plain,
double_divide(double_divide(X0,inverse(X1)),double_divide(inverse(double_divide(X2,inverse(double_divide(X3,X1)))),inverse(double_divide(X4,double_divide(X0,X4))))) = double_divide(inverse(X3),inverse(double_divide(X5,double_divide(X2,X5)))),
inference(superposition,[status(thm)],[c_49,c_49]) ).
cnf(c_130,plain,
double_divide(double_divide(X0,inverse(X1)),double_divide(multiply(multiply(X1,X2),X3),multiply(double_divide(X0,X4),X4))) = double_divide(inverse(X2),multiply(double_divide(X3,X5),X5)),
inference(demodulation,[status(thm)],[c_122,c_50]) ).
cnf(c_131,plain,
double_divide(inverse(X0),multiply(double_divide(X1,X2),X2)) = sP4_iProver_def(X0,X1),
inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_def])],[c_130]) ).
cnf(c_150,plain,
double_divide(inverse(X0),multiply(X1,double_divide(inverse(X2),inverse(double_divide(X3,double_divide(X4,X3)))))) = sP4_iProver_def(X0,double_divide(X4,inverse(double_divide(X2,X1)))),
inference(superposition,[status(thm)],[c_49,c_131]) ).
cnf(c_153,plain,
double_divide(double_divide(X0,inverse(sP4_iProver_def(X1,X2))),double_divide(inverse(inverse(X1)),inverse(double_divide(X3,double_divide(X0,X3))))) = multiply(double_divide(X2,X4),X4),
inference(superposition,[status(thm)],[c_131,c_49]) ).
cnf(c_157,plain,
double_divide(double_divide(X0,inverse(sP4_iProver_def(X1,X2))),sP4_iProver_def(inverse(X1),X0)) = multiply(double_divide(X2,X3),X3),
inference(demodulation,[status(thm)],[c_153,c_50,c_131]) ).
cnf(c_158,plain,
multiply(double_divide(X0,X1),X1) = sP5_iProver_def(X0),
inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_def])],[c_157]) ).
cnf(c_160,plain,
double_divide(inverse(X0),multiply(X1,sP4_iProver_def(X2,X3))) = sP4_iProver_def(X0,double_divide(X3,multiply(X1,X2))),
inference(demodulation,[status(thm)],[c_150,c_50,c_131]) ).
cnf(c_173,plain,
double_divide(inverse(X0),sP5_iProver_def(X1)) = sP4_iProver_def(X0,X1),
inference(demodulation,[status(thm)],[c_131,c_158]) ).
cnf(c_177,plain,
multiply(X0,double_divide(inverse(X1),inverse(double_divide(X2,double_divide(X3,X2))))) = sP5_iProver_def(double_divide(X3,inverse(double_divide(X1,X0)))),
inference(superposition,[status(thm)],[c_49,c_158]) ).
cnf(c_178,plain,
sP5_iProver_def(double_divide(X0,multiply(X1,X2))) = multiply(X1,sP4_iProver_def(X2,X0)),
inference(demodulation,[status(thm)],[c_177,c_50,c_158,c_173]) ).
cnf(c_186,plain,
double_divide(multiply(X0,X1),sP5_iProver_def(X2)) = sP4_iProver_def(double_divide(X1,X0),X2),
inference(superposition,[status(thm)],[c_50,c_173]) ).
cnf(c_189,plain,
multiply(sP4_iProver_def(X0,X1),sP5_iProver_def(X1)) = sP5_iProver_def(inverse(X0)),
inference(superposition,[status(thm)],[c_173,c_158]) ).
cnf(c_211,plain,
multiply(double_divide(X0,X1),sP4_iProver_def(X1,X2)) = sP5_iProver_def(double_divide(X2,sP5_iProver_def(X0))),
inference(superposition,[status(thm)],[c_158,c_178]) ).
cnf(c_252,plain,
sP4_iProver_def(double_divide(X0,double_divide(X1,X0)),X2) = double_divide(sP5_iProver_def(X1),sP5_iProver_def(X2)),
inference(superposition,[status(thm)],[c_158,c_186]) ).
cnf(c_261,plain,
double_divide(double_divide(multiply(X0,X1),inverse(double_divide(X2,X3))),double_divide(inverse(X2),inverse(double_divide(sP5_iProver_def(X4),sP4_iProver_def(double_divide(X1,X0),X4))))) = X3,
inference(superposition,[status(thm)],[c_186,c_49]) ).
cnf(c_264,plain,
double_divide(double_divide(multiply(X0,X1),multiply(X2,X3)),sP4_iProver_def(X3,multiply(X0,X1))) = X2,
inference(demodulation,[status(thm)],[c_261,c_50,c_173,c_189]) ).
cnf(c_548,plain,
double_divide(inverse(X0),sP5_iProver_def(X1)) = sP4_iProver_def(X0,X1),
inference(demodulation,[status(thm)],[c_131,c_158]) ).
cnf(c_554,plain,
double_divide(multiply(X0,X1),sP5_iProver_def(X2)) = sP4_iProver_def(double_divide(X1,X0),X2),
inference(superposition,[status(thm)],[c_50,c_548]) ).
cnf(c_558,plain,
multiply(sP4_iProver_def(X0,X1),sP5_iProver_def(X1)) = sP5_iProver_def(inverse(X0)),
inference(superposition,[status(thm)],[c_548,c_158]) ).
cnf(c_614,plain,
double_divide(double_divide(multiply(X0,X1),inverse(double_divide(X2,X3))),double_divide(inverse(X2),inverse(double_divide(sP5_iProver_def(X4),sP4_iProver_def(double_divide(X1,X0),X4))))) = X3,
inference(superposition,[status(thm)],[c_554,c_49]) ).
cnf(c_617,plain,
double_divide(double_divide(multiply(X0,X1),multiply(X2,X3)),sP4_iProver_def(X3,multiply(X0,X1))) = X2,
inference(demodulation,[status(thm)],[c_614,c_50,c_548,c_558]) ).
cnf(c_951,plain,
double_divide(double_divide(sP0_iProver_def,multiply(X0,X1)),sP4_iProver_def(X1,sP0_iProver_def)) = X0,
inference(superposition,[status(thm)],[c_65,c_264]) ).
cnf(c_1136,plain,
double_divide(double_divide(sP0_iProver_def,sP5_iProver_def(X0)),sP4_iProver_def(X1,sP0_iProver_def)) = double_divide(X0,X1),
inference(superposition,[status(thm)],[c_158,c_951]) ).
cnf(c_1143,plain,
double_divide(double_divide(sP0_iProver_def,sP5_iProver_def(double_divide(X0,sP5_iProver_def(X1)))),sP4_iProver_def(sP4_iProver_def(X2,X0),sP0_iProver_def)) = double_divide(X1,X2),
inference(superposition,[status(thm)],[c_211,c_951]) ).
cnf(c_1174,plain,
double_divide(double_divide(X0,sP5_iProver_def(X1)),sP4_iProver_def(X2,X0)) = double_divide(X1,X2),
inference(demodulation,[status(thm)],[c_1143,c_1136]) ).
cnf(c_1363,plain,
double_divide(double_divide(sP5_iProver_def(X0),multiply(X1,X2)),sP4_iProver_def(X2,sP5_iProver_def(X0))) = X1,
inference(superposition,[status(thm)],[c_158,c_617]) ).
cnf(c_1708,plain,
double_divide(double_divide(X0,sP5_iProver_def(X1)),double_divide(sP5_iProver_def(X2),sP5_iProver_def(X0))) = double_divide(X1,double_divide(X3,double_divide(X2,X3))),
inference(superposition,[status(thm)],[c_252,c_1174]) ).
cnf(c_1718,plain,
double_divide(X0,double_divide(X1,double_divide(X2,X1))) = sP6_iProver_def(X0,X2),
inference(splitting,[splitting(split),new_symbols(definition,[sP6_iProver_def])],[c_1708]) ).
cnf(c_1802,plain,
double_divide(double_divide(X0,inverse(sP6_iProver_def(X1,X2))),double_divide(inverse(X1),inverse(double_divide(X3,double_divide(X0,X3))))) = double_divide(X4,double_divide(X2,X4)),
inference(superposition,[status(thm)],[c_1718,c_49]) ).
cnf(c_1819,plain,
double_divide(double_divide(X0,inverse(sP6_iProver_def(X1,X2))),sP4_iProver_def(X1,X0)) = double_divide(X3,double_divide(X2,X3)),
inference(demodulation,[status(thm)],[c_1802,c_50,c_158,c_173]) ).
cnf(c_1820,plain,
double_divide(X0,double_divide(X1,X0)) = sP7_iProver_def(X1),
inference(splitting,[splitting(split),new_symbols(definition,[sP7_iProver_def])],[c_1819]) ).
cnf(c_7476,plain,
multiply(sP4_iProver_def(X0,sP5_iProver_def(X1)),double_divide(sP5_iProver_def(X1),multiply(X2,X0))) = inverse(X2),
inference(superposition,[status(thm)],[c_1363,c_50]) ).
cnf(c_7660,plain,
double_divide(inverse(X0),sP5_iProver_def(X1)) = sP4_iProver_def(X0,X1),
inference(demodulation,[status(thm)],[c_131,c_158]) ).
cnf(c_7661,plain,
multiply(X0,double_divide(inverse(X1),inverse(double_divide(X2,double_divide(X3,X2))))) = sP5_iProver_def(double_divide(X3,inverse(double_divide(X1,X0)))),
inference(superposition,[status(thm)],[c_49,c_158]) ).
cnf(c_7670,plain,
double_divide(double_divide(sP5_iProver_def(X0),sP5_iProver_def(X1)),sP4_iProver_def(X2,sP5_iProver_def(X0))) = double_divide(X1,X2),
inference(superposition,[status(thm)],[c_158,c_1363]) ).
cnf(c_7673,plain,
multiply(sP4_iProver_def(X0,sP5_iProver_def(X1)),double_divide(sP5_iProver_def(X1),sP5_iProver_def(X2))) = inverse(double_divide(X2,X0)),
inference(superposition,[status(thm)],[c_158,c_7476]) ).
cnf(c_7674,plain,
multiply(sP4_iProver_def(X0,sP5_iProver_def(X1)),double_divide(sP5_iProver_def(X1),sP5_iProver_def(X2))) = multiply(X0,X2),
inference(demodulation,[status(thm)],[c_7673,c_50]) ).
cnf(c_7676,plain,
sP5_iProver_def(double_divide(X0,multiply(X1,X2))) = multiply(X1,sP4_iProver_def(X2,X0)),
inference(demodulation,[status(thm)],[c_7661,c_50,c_158,c_7660]) ).
cnf(c_7677,plain,
double_divide(multiply(X0,X1),sP5_iProver_def(X2)) = sP4_iProver_def(double_divide(X1,X0),X2),
inference(superposition,[status(thm)],[c_50,c_7660]) ).
cnf(c_7681,plain,
multiply(sP4_iProver_def(X0,X1),sP5_iProver_def(X1)) = sP5_iProver_def(inverse(X0)),
inference(superposition,[status(thm)],[c_7660,c_158]) ).
cnf(c_7682,plain,
multiply(sP5_iProver_def(X0),inverse(X1)) = inverse(sP4_iProver_def(X1,X0)),
inference(superposition,[status(thm)],[c_7660,c_50]) ).
cnf(c_7689,plain,
inverse(sP4_iProver_def(double_divide(X0,X1),X2)) = multiply(sP5_iProver_def(X2),multiply(X1,X0)),
inference(superposition,[status(thm)],[c_50,c_7682]) ).
cnf(c_7724,plain,
multiply(a3,sP4_iProver_def(b3,X0)) = sP5_iProver_def(double_divide(X0,sP0_iProver_def)),
inference(superposition,[status(thm)],[c_65,c_7676]) ).
cnf(c_7725,plain,
multiply(b3,sP4_iProver_def(c3,X0)) = sP5_iProver_def(double_divide(X0,sP2_iProver_def)),
inference(superposition,[status(thm)],[c_67,c_7676]) ).
cnf(c_7726,plain,
multiply(sP0_iProver_def,sP4_iProver_def(c3,X0)) = sP5_iProver_def(double_divide(X0,sP1_iProver_def)),
inference(superposition,[status(thm)],[c_66,c_7676]) ).
cnf(c_7727,plain,
multiply(a3,sP4_iProver_def(sP2_iProver_def,X0)) = sP5_iProver_def(double_divide(X0,sP3_iProver_def)),
inference(superposition,[status(thm)],[c_68,c_7676]) ).
cnf(c_7728,plain,
multiply(double_divide(X0,X1),sP4_iProver_def(X1,X2)) = sP5_iProver_def(double_divide(X2,sP5_iProver_def(X0))),
inference(superposition,[status(thm)],[c_158,c_7676]) ).
cnf(c_7781,plain,
double_divide(double_divide(sP5_iProver_def(X0),sP5_iProver_def(double_divide(X1,sP0_iProver_def))),sP4_iProver_def(sP4_iProver_def(b3,X1),sP5_iProver_def(X0))) = a3,
inference(superposition,[status(thm)],[c_7724,c_1363]) ).
cnf(c_7785,plain,
double_divide(double_divide(X0,sP0_iProver_def),sP4_iProver_def(b3,X0)) = a3,
inference(demodulation,[status(thm)],[c_7781,c_7670]) ).
cnf(c_7798,plain,
double_divide(double_divide(sP5_iProver_def(X0),sP5_iProver_def(double_divide(X1,sP2_iProver_def))),sP4_iProver_def(sP4_iProver_def(c3,X1),sP5_iProver_def(X0))) = b3,
inference(superposition,[status(thm)],[c_7725,c_1363]) ).
cnf(c_7802,plain,
double_divide(double_divide(X0,sP2_iProver_def),sP4_iProver_def(c3,X0)) = b3,
inference(demodulation,[status(thm)],[c_7798,c_7670]) ).
cnf(c_7815,plain,
double_divide(double_divide(sP5_iProver_def(X0),sP5_iProver_def(double_divide(X1,sP1_iProver_def))),sP4_iProver_def(sP4_iProver_def(c3,X1),sP5_iProver_def(X0))) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_7726,c_1363]) ).
cnf(c_7819,plain,
double_divide(double_divide(X0,sP1_iProver_def),sP4_iProver_def(c3,X0)) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_7815,c_7670]) ).
cnf(c_7832,plain,
double_divide(double_divide(sP5_iProver_def(X0),sP5_iProver_def(double_divide(X1,sP3_iProver_def))),sP4_iProver_def(sP4_iProver_def(sP2_iProver_def,X1),sP5_iProver_def(X0))) = a3,
inference(superposition,[status(thm)],[c_7727,c_1363]) ).
cnf(c_7836,plain,
double_divide(double_divide(X0,sP3_iProver_def),sP4_iProver_def(sP2_iProver_def,X0)) = a3,
inference(demodulation,[status(thm)],[c_7832,c_7670]) ).
cnf(c_7879,plain,
sP4_iProver_def(double_divide(X0,double_divide(X1,X0)),X2) = double_divide(sP5_iProver_def(X1),sP5_iProver_def(X2)),
inference(superposition,[status(thm)],[c_158,c_7677]) ).
cnf(c_7967,plain,
double_divide(double_divide(sP5_iProver_def(X0),sP5_iProver_def(double_divide(X1,sP5_iProver_def(X2)))),sP4_iProver_def(sP4_iProver_def(X3,X1),sP5_iProver_def(X0))) = double_divide(X2,X3),
inference(superposition,[status(thm)],[c_7728,c_1363]) ).
cnf(c_7970,plain,
multiply(sP4_iProver_def(sP4_iProver_def(X0,X1),sP5_iProver_def(X2)),double_divide(sP5_iProver_def(X2),sP5_iProver_def(double_divide(X1,sP5_iProver_def(X3))))) = inverse(double_divide(X3,X0)),
inference(superposition,[status(thm)],[c_7728,c_7476]) ).
cnf(c_7971,plain,
double_divide(double_divide(X0,sP5_iProver_def(X1)),sP4_iProver_def(X2,X0)) = double_divide(X1,X2),
inference(demodulation,[status(thm)],[c_7967,c_7670]) ).
cnf(c_7972,plain,
multiply(sP4_iProver_def(X0,X1),double_divide(X1,sP5_iProver_def(X2))) = multiply(X0,X2),
inference(demodulation,[status(thm)],[c_7970,c_50,c_7674]) ).
cnf(c_7975,plain,
double_divide(sP4_iProver_def(X0,X1),sP4_iProver_def(X2,inverse(X0))) = double_divide(X1,X2),
inference(superposition,[status(thm)],[c_7660,c_7971]) ).
cnf(c_7994,plain,
multiply(sP4_iProver_def(X0,inverse(X1)),sP4_iProver_def(X1,X2)) = multiply(X0,X2),
inference(superposition,[status(thm)],[c_7660,c_7972]) ).
cnf(c_8065,plain,
multiply(double_divide(sP5_iProver_def(X0),sP5_iProver_def(inverse(X1))),sP4_iProver_def(X1,X2)) = multiply(double_divide(X3,double_divide(X0,X3)),X2),
inference(superposition,[status(thm)],[c_7879,c_7994]) ).
cnf(c_8073,plain,
multiply(double_divide(X0,double_divide(X1,X0)),X2) = sP8_iProver_def(X1,X2),
inference(splitting,[splitting(split),new_symbols(definition,[sP8_iProver_def])],[c_8065]) ).
cnf(c_8091,plain,
double_divide(double_divide(X0,inverse(sP6_iProver_def(X1,X2))),double_divide(inverse(X1),inverse(double_divide(X3,double_divide(X0,X3))))) = double_divide(X4,double_divide(X2,X4)),
inference(superposition,[status(thm)],[c_1718,c_49]) ).
cnf(c_8098,plain,
multiply(double_divide(X0,double_divide(X1,X0)),X2) = inverse(sP6_iProver_def(X2,X1)),
inference(superposition,[status(thm)],[c_1718,c_50]) ).
cnf(c_8102,plain,
inverse(sP6_iProver_def(X0,X1)) = sP8_iProver_def(X1,X0),
inference(demodulation,[status(thm)],[c_8098,c_8073]) ).
cnf(c_8108,plain,
double_divide(double_divide(X0,sP8_iProver_def(X1,X2)),double_divide(inverse(X2),inverse(double_divide(X3,double_divide(X0,X3))))) = double_divide(X4,double_divide(X1,X4)),
inference(demodulation,[status(thm)],[c_8091,c_8102]) ).
cnf(c_8109,plain,
double_divide(double_divide(X0,sP8_iProver_def(X1,X2)),sP4_iProver_def(X2,X0)) = double_divide(X3,double_divide(X1,X3)),
inference(demodulation,[status(thm)],[c_8108,c_50,c_158,c_7660]) ).
cnf(c_8110,plain,
double_divide(double_divide(X0,sP8_iProver_def(X1,X2)),sP4_iProver_def(X2,X0)) = sP7_iProver_def(X1),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_8109]) ).
cnf(c_8113,plain,
double_divide(sP5_iProver_def(X0),sP5_iProver_def(X1)) = sP4_iProver_def(sP7_iProver_def(X0),X1),
inference(demodulation,[status(thm)],[c_7879,c_1820]) ).
cnf(c_8114,plain,
double_divide(X0,sP7_iProver_def(X1)) = sP6_iProver_def(X0,X1),
inference(demodulation,[status(thm)],[c_1718,c_1820]) ).
cnf(c_8119,plain,
double_divide(sP5_iProver_def(X0),sP4_iProver_def(X1,X0)) = sP7_iProver_def(inverse(X1)),
inference(superposition,[status(thm)],[c_7660,c_1820]) ).
cnf(c_8129,plain,
double_divide(double_divide(X0,X1),sP7_iProver_def(X0)) = sP7_iProver_def(X1),
inference(superposition,[status(thm)],[c_1820,c_1820]) ).
cnf(c_8132,plain,
multiply(sP7_iProver_def(X0),double_divide(X0,X1)) = sP5_iProver_def(X1),
inference(superposition,[status(thm)],[c_1820,c_158]) ).
cnf(c_8133,plain,
multiply(double_divide(X0,X1),X1) = inverse(sP7_iProver_def(X0)),
inference(superposition,[status(thm)],[c_1820,c_50]) ).
cnf(c_8134,plain,
inverse(sP7_iProver_def(X0)) = sP5_iProver_def(X0),
inference(demodulation,[status(thm)],[c_8133,c_158]) ).
cnf(c_8135,plain,
sP6_iProver_def(double_divide(X0,X1),X0) = sP7_iProver_def(X1),
inference(demodulation,[status(thm)],[c_8129,c_8114]) ).
cnf(c_8138,plain,
multiply(sP4_iProver_def(X0,sP5_iProver_def(X1)),sP4_iProver_def(sP7_iProver_def(X1),X2)) = multiply(X0,X2),
inference(superposition,[status(thm)],[c_8134,c_7994]) ).
cnf(c_8141,plain,
double_divide(sP4_iProver_def(sP7_iProver_def(X0),X1),sP4_iProver_def(X2,sP5_iProver_def(X0))) = double_divide(X1,X2),
inference(superposition,[status(thm)],[c_8134,c_7975]) ).
cnf(c_8143,plain,
double_divide(sP5_iProver_def(X0),multiply(X1,sP4_iProver_def(X2,X3))) = sP4_iProver_def(sP7_iProver_def(X0),double_divide(X3,multiply(X1,X2))),
inference(superposition,[status(thm)],[c_8134,c_160]) ).
cnf(c_8156,plain,
inverse(sP6_iProver_def(X0,X1)) = multiply(sP7_iProver_def(X1),X0),
inference(superposition,[status(thm)],[c_8114,c_50]) ).
cnf(c_8157,plain,
multiply(sP7_iProver_def(X0),X1) = sP8_iProver_def(X0,X1),
inference(demodulation,[status(thm)],[c_8156,c_8102]) ).
cnf(c_8159,plain,
sP6_iProver_def(sP7_iProver_def(X0),X1) = sP7_iProver_def(double_divide(X0,X1)),
inference(superposition,[status(thm)],[c_1820,c_8135]) ).
cnf(c_8167,plain,
sP6_iProver_def(b3,double_divide(X0,sP2_iProver_def)) = sP7_iProver_def(sP4_iProver_def(c3,X0)),
inference(superposition,[status(thm)],[c_7802,c_8135]) ).
cnf(c_8172,plain,
sP8_iProver_def(X0,double_divide(X0,X1)) = inverse(sP7_iProver_def(X1)),
inference(superposition,[status(thm)],[c_8135,c_8102]) ).
cnf(c_8173,plain,
sP8_iProver_def(X0,double_divide(X0,X1)) = sP5_iProver_def(X1),
inference(demodulation,[status(thm)],[c_8172,c_8134]) ).
cnf(c_8189,plain,
sP5_iProver_def(double_divide(X0,X1)) = sP8_iProver_def(X1,sP7_iProver_def(X0)),
inference(superposition,[status(thm)],[c_1820,c_8173]) ).
cnf(c_8243,plain,
sP6_iProver_def(sP7_iProver_def(X0),double_divide(X1,X0)) = sP7_iProver_def(sP7_iProver_def(X1)),
inference(superposition,[status(thm)],[c_1820,c_8159]) ).
cnf(c_8719,plain,
double_divide(sP4_iProver_def(sP7_iProver_def(X0),double_divide(X1,multiply(X2,X3))),sP4_iProver_def(sP4_iProver_def(X3,X1),sP5_iProver_def(X0))) = X2,
inference(superposition,[status(thm)],[c_8143,c_1363]) ).
cnf(c_8720,plain,
multiply(sP4_iProver_def(sP4_iProver_def(X0,X1),sP5_iProver_def(X2)),sP4_iProver_def(sP7_iProver_def(X2),double_divide(X1,multiply(X3,X0)))) = inverse(X3),
inference(superposition,[status(thm)],[c_8143,c_7476]) ).
cnf(c_8723,plain,
double_divide(double_divide(X0,multiply(X1,X2)),sP4_iProver_def(X2,X0)) = X1,
inference(demodulation,[status(thm)],[c_8719,c_8141]) ).
cnf(c_8724,plain,
multiply(sP4_iProver_def(X0,X1),double_divide(X1,multiply(X2,X0))) = inverse(X2),
inference(demodulation,[status(thm)],[c_8720,c_8138]) ).
cnf(c_9055,plain,
multiply(sP4_iProver_def(X0,X1),double_divide(X1,sP8_iProver_def(X2,X0))) = inverse(sP7_iProver_def(X2)),
inference(superposition,[status(thm)],[c_8110,c_50]) ).
cnf(c_9057,plain,
multiply(sP4_iProver_def(X0,X1),double_divide(X1,sP8_iProver_def(X2,X0))) = sP5_iProver_def(X2),
inference(demodulation,[status(thm)],[c_9055,c_8134]) ).
cnf(c_9615,plain,
double_divide(double_divide(X0,sP5_iProver_def(X1)),sP4_iProver_def(double_divide(X2,sP8_iProver_def(X1,X3)),X0)) = sP4_iProver_def(X3,X2),
inference(superposition,[status(thm)],[c_9057,c_8723]) ).
cnf(c_9625,plain,
double_divide(X0,double_divide(X1,sP8_iProver_def(X0,X2))) = sP4_iProver_def(X2,X1),
inference(demodulation,[status(thm)],[c_9615,c_7971]) ).
cnf(c_9629,plain,
double_divide(X0,double_divide(X1,sP5_iProver_def(X2))) = sP4_iProver_def(double_divide(X0,X2),X1),
inference(superposition,[status(thm)],[c_8173,c_9625]) ).
cnf(c_9709,plain,
sP4_iProver_def(double_divide(sP5_iProver_def(X0),X0),X1) = sP7_iProver_def(X1),
inference(superposition,[status(thm)],[c_9629,c_1820]) ).
cnf(c_9732,plain,
multiply(sP5_iProver_def(X0),multiply(X1,sP5_iProver_def(X1))) = inverse(sP7_iProver_def(X0)),
inference(superposition,[status(thm)],[c_9709,c_7689]) ).
cnf(c_9750,plain,
multiply(sP5_iProver_def(X0),multiply(X1,sP5_iProver_def(X1))) = sP5_iProver_def(X0),
inference(demodulation,[status(thm)],[c_9732,c_8134]) ).
cnf(c_10209,plain,
double_divide(double_divide(X0,sP5_iProver_def(X1)),sP4_iProver_def(multiply(X2,sP5_iProver_def(X2)),X0)) = sP5_iProver_def(X1),
inference(superposition,[status(thm)],[c_9750,c_8723]) ).
cnf(c_10215,plain,
double_divide(X0,multiply(X1,sP5_iProver_def(X1))) = sP5_iProver_def(X0),
inference(demodulation,[status(thm)],[c_10209,c_7971]) ).
cnf(c_10242,plain,
double_divide(sP5_iProver_def(X0),sP4_iProver_def(sP5_iProver_def(X1),X0)) = X1,
inference(superposition,[status(thm)],[c_10215,c_8723]) ).
cnf(c_10247,plain,
multiply(sP4_iProver_def(sP5_iProver_def(X0),X1),sP5_iProver_def(X1)) = inverse(X0),
inference(superposition,[status(thm)],[c_10215,c_8724]) ).
cnf(c_10252,plain,
sP7_iProver_def(inverse(sP5_iProver_def(X0))) = X0,
inference(demodulation,[status(thm)],[c_10242,c_8119]) ).
cnf(c_10253,plain,
sP5_iProver_def(inverse(sP5_iProver_def(X0))) = inverse(X0),
inference(demodulation,[status(thm)],[c_10247,c_7681]) ).
cnf(c_10296,plain,
sP7_iProver_def(inverse(inverse(X0))) = inverse(sP5_iProver_def(X0)),
inference(superposition,[status(thm)],[c_10253,c_10252]) ).
cnf(c_10337,plain,
inverse(sP5_iProver_def(sP7_iProver_def(X0))) = sP7_iProver_def(inverse(sP5_iProver_def(X0))),
inference(superposition,[status(thm)],[c_8134,c_10296]) ).
cnf(c_10366,plain,
inverse(sP5_iProver_def(sP7_iProver_def(X0))) = X0,
inference(demodulation,[status(thm)],[c_10337,c_10252]) ).
cnf(c_10377,plain,
inverse(sP5_iProver_def(sP5_iProver_def(sP7_iProver_def(X0)))) = sP7_iProver_def(inverse(X0)),
inference(superposition,[status(thm)],[c_10366,c_10296]) ).
cnf(c_10476,plain,
inverse(sP5_iProver_def(sP7_iProver_def(X0))) = sP5_iProver_def(sP7_iProver_def(inverse(X0))),
inference(superposition,[status(thm)],[c_10377,c_10253]) ).
cnf(c_10477,plain,
sP7_iProver_def(sP7_iProver_def(inverse(X0))) = sP5_iProver_def(sP7_iProver_def(X0)),
inference(superposition,[status(thm)],[c_10377,c_10252]) ).
cnf(c_10478,plain,
sP5_iProver_def(sP7_iProver_def(inverse(X0))) = X0,
inference(demodulation,[status(thm)],[c_10476,c_10366]) ).
cnf(c_10488,plain,
sP5_iProver_def(sP7_iProver_def(sP5_iProver_def(X0))) = sP7_iProver_def(X0),
inference(superposition,[status(thm)],[c_8134,c_10478]) ).
cnf(c_10496,plain,
multiply(X0,multiply(X1,sP5_iProver_def(X1))) = X0,
inference(superposition,[status(thm)],[c_10478,c_9750]) ).
cnf(c_10516,plain,
double_divide(double_divide(X0,X1),sP4_iProver_def(X2,X0)) = double_divide(sP7_iProver_def(inverse(X1)),X2),
inference(superposition,[status(thm)],[c_10478,c_7971]) ).
cnf(c_10518,plain,
sP4_iProver_def(X0,sP7_iProver_def(inverse(X1))) = double_divide(inverse(X0),X1),
inference(superposition,[status(thm)],[c_10478,c_7660]) ).
cnf(c_10547,plain,
double_divide(sP7_iProver_def(inverse(sP0_iProver_def)),b3) = a3,
inference(demodulation,[status(thm)],[c_7785,c_10516]) ).
cnf(c_10548,plain,
double_divide(sP7_iProver_def(inverse(sP1_iProver_def)),c3) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_7819,c_10516]) ).
cnf(c_10550,plain,
double_divide(sP7_iProver_def(inverse(sP3_iProver_def)),sP2_iProver_def) = a3,
inference(demodulation,[status(thm)],[c_7836,c_10516]) ).
cnf(c_10608,plain,
sP7_iProver_def(sP7_iProver_def(sP7_iProver_def(inverse(sP0_iProver_def)))) = sP6_iProver_def(sP7_iProver_def(b3),a3),
inference(superposition,[status(thm)],[c_10547,c_8243]) ).
cnf(c_10622,plain,
sP6_iProver_def(sP7_iProver_def(b3),a3) = sP7_iProver_def(sP5_iProver_def(sP7_iProver_def(sP0_iProver_def))),
inference(demodulation,[status(thm)],[c_10608,c_10477]) ).
cnf(c_10633,plain,
sP6_iProver_def(sP7_iProver_def(sP7_iProver_def(inverse(sP1_iProver_def))),c3) = sP7_iProver_def(sP0_iProver_def),
inference(superposition,[status(thm)],[c_10548,c_8159]) ).
cnf(c_10643,plain,
sP6_iProver_def(sP5_iProver_def(sP7_iProver_def(sP1_iProver_def)),c3) = sP7_iProver_def(sP0_iProver_def),
inference(demodulation,[status(thm)],[c_10633,c_10477]) ).
cnf(c_10686,plain,
sP7_iProver_def(sP4_iProver_def(c3,sP7_iProver_def(inverse(sP3_iProver_def)))) = sP6_iProver_def(b3,a3),
inference(superposition,[status(thm)],[c_10550,c_8167]) ).
cnf(c_10690,plain,
sP6_iProver_def(sP7_iProver_def(inverse(c3)),sP3_iProver_def) = sP6_iProver_def(b3,a3),
inference(demodulation,[status(thm)],[c_10686,c_8159,c_10518]) ).
cnf(c_10987,plain,
multiply(X0,multiply(sP7_iProver_def(sP5_iProver_def(X1)),sP7_iProver_def(X1))) = X0,
inference(superposition,[status(thm)],[c_10488,c_10496]) ).
cnf(c_11004,plain,
multiply(X0,sP5_iProver_def(double_divide(X1,sP5_iProver_def(X1)))) = X0,
inference(demodulation,[status(thm)],[c_10987,c_8157,c_8189]) ).
cnf(c_14496,plain,
multiply(X0,double_divide(X1,sP5_iProver_def(X1))) = X0,
inference(superposition,[status(thm)],[c_11004,c_10496]) ).
cnf(c_14497,plain,
double_divide(X0,double_divide(X1,sP5_iProver_def(X1))) = sP5_iProver_def(X0),
inference(superposition,[status(thm)],[c_11004,c_10215]) ).
cnf(c_14499,plain,
sP4_iProver_def(double_divide(X0,X1),X1) = sP5_iProver_def(X0),
inference(demodulation,[status(thm)],[c_14497,c_9629]) ).
cnf(c_14668,plain,
sP5_iProver_def(sP5_iProver_def(X0)) = sP7_iProver_def(X0),
inference(superposition,[status(thm)],[c_14496,c_8132]) ).
cnf(c_14690,plain,
inverse(sP7_iProver_def(sP7_iProver_def(X0))) = sP7_iProver_def(inverse(X0)),
inference(demodulation,[status(thm)],[c_10377,c_14668]) ).
cnf(c_14691,plain,
sP5_iProver_def(sP7_iProver_def(X0)) = sP7_iProver_def(inverse(X0)),
inference(demodulation,[status(thm)],[c_14690,c_8134]) ).
cnf(c_14700,plain,
sP6_iProver_def(sP5_iProver_def(sP7_iProver_def(c3)),sP3_iProver_def) = sP6_iProver_def(b3,a3),
inference(demodulation,[status(thm)],[c_10690,c_14691]) ).
cnf(c_14719,plain,
sP5_iProver_def(sP7_iProver_def(sP5_iProver_def(X0))) = X0,
inference(demodulation,[status(thm)],[c_10252,c_14691]) ).
cnf(c_14720,plain,
sP7_iProver_def(X0) = X0,
inference(demodulation,[status(thm)],[c_10488,c_14719]) ).
cnf(c_14748,plain,
double_divide(sP5_iProver_def(X0),sP5_iProver_def(X1)) = sP4_iProver_def(X0,X1),
inference(demodulation,[status(thm)],[c_8113,c_14720]) ).
cnf(c_14764,plain,
sP6_iProver_def(double_divide(X0,X1),X0) = X1,
inference(demodulation,[status(thm)],[c_8135,c_14720]) ).
cnf(c_14765,plain,
double_divide(X0,X1) = sP6_iProver_def(X0,X1),
inference(demodulation,[status(thm)],[c_8114,c_14720]) ).
cnf(c_14771,plain,
sP7_iProver_def(sP5_iProver_def(sP7_iProver_def(sP0_iProver_def))) = sP6_iProver_def(b3,a3),
inference(demodulation,[status(thm)],[c_10622,c_14720]) ).
cnf(c_14777,plain,
sP6_iProver_def(sP5_iProver_def(sP7_iProver_def(sP1_iProver_def)),c3) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_10643,c_14720]) ).
cnf(c_14799,plain,
sP6_iProver_def(sP5_iProver_def(sP1_iProver_def),c3) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_14777,c_14720]) ).
cnf(c_14803,plain,
sP6_iProver_def(b3,a3) = sP5_iProver_def(sP0_iProver_def),
inference(demodulation,[status(thm)],[c_14771,c_14720]) ).
cnf(c_14883,plain,
sP6_iProver_def(sP6_iProver_def(X0,X1),X0) = X1,
inference(demodulation,[status(thm)],[c_14764,c_14765]) ).
cnf(c_14900,plain,
sP6_iProver_def(sP5_iProver_def(X0),sP5_iProver_def(X1)) = sP4_iProver_def(X0,X1),
inference(demodulation,[status(thm)],[c_14748,c_14765]) ).
cnf(c_14923,plain,
sP6_iProver_def(sP5_iProver_def(c3),sP3_iProver_def) = sP5_iProver_def(sP0_iProver_def),
inference(demodulation,[status(thm)],[c_14700,c_14720,c_14803]) ).
cnf(c_14933,plain,
sP5_iProver_def(sP5_iProver_def(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_14668,c_14720]) ).
cnf(c_14998,plain,
sP6_iProver_def(sP5_iProver_def(sP0_iProver_def),sP5_iProver_def(c3)) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_14923,c_14883]) ).
cnf(c_15000,plain,
sP4_iProver_def(sP0_iProver_def,c3) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_14998,c_14900]) ).
cnf(c_15004,plain,
sP4_iProver_def(sP6_iProver_def(X0,X1),X1) = sP5_iProver_def(X0),
inference(light_normalisation,[status(thm)],[c_14499,c_14765]) ).
cnf(c_15010,plain,
sP4_iProver_def(sP0_iProver_def,c3) = sP5_iProver_def(sP5_iProver_def(sP1_iProver_def)),
inference(superposition,[status(thm)],[c_14799,c_15004]) ).
cnf(c_15024,plain,
sP1_iProver_def = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_15010,c_14933,c_15000]) ).
cnf(c_15025,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_15024,c_69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP504-1 : TPTP v8.2.0. Released v2.6.0.
% 0.07/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 20 08:20:24 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.20/0.47 Running UEQ theorem proving
% 0.20/0.47 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
% 7.93/1.67 % SZS status Started for theBenchmark.p
% 7.93/1.67 % SZS status Unsatisfiable for theBenchmark.p
% 7.93/1.67
% 7.93/1.67 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.93/1.67
% 7.93/1.67 ------ iProver source info
% 7.93/1.67
% 7.93/1.67 git: date: 2024-06-12 09:56:46 +0000
% 7.93/1.67 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 7.93/1.67 git: non_committed_changes: false
% 7.93/1.67
% 7.93/1.67 ------ Parsing...successful
% 7.93/1.67
% 7.93/1.67
% 7.93/1.67
% 7.93/1.67 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 7.93/1.67
% 7.93/1.67 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.93/1.67
% 7.93/1.67 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 7.93/1.67 ------ Proving...
% 7.93/1.67 ------ Problem Properties
% 7.93/1.67
% 7.93/1.67
% 7.93/1.67 clauses 7
% 7.93/1.67 conjectures 1
% 7.93/1.67 EPR 1
% 7.93/1.67 Horn 7
% 7.93/1.67 unary 7
% 7.93/1.67 binary 0
% 7.93/1.67 lits 7
% 7.93/1.67 lits eq 7
% 7.93/1.67 fd_pure 0
% 7.93/1.67 fd_pseudo 0
% 7.93/1.67 fd_cond 0
% 7.93/1.67 fd_pseudo_cond 0
% 7.93/1.67 AC symbols 0
% 7.93/1.67
% 7.93/1.67 ------ Input Options Time Limit: Unbounded
% 7.93/1.67
% 7.93/1.67
% 7.93/1.67 ------
% 7.93/1.67 Current options:
% 7.93/1.67 ------
% 7.93/1.67
% 7.93/1.67
% 7.93/1.67
% 7.93/1.67
% 7.93/1.67 ------ Proving...
% 7.93/1.67
% 7.93/1.67
% 7.93/1.67 % SZS status Unsatisfiable for theBenchmark.p
% 7.93/1.67
% 7.93/1.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.93/1.67
% 7.93/1.68
%------------------------------------------------------------------------------