TSTP Solution File: GRP077-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP077-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n006.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 02:20:53 EDT 2024
% Result : Unsatisfiable 7.66s 1.68s
% Output : CNFRefutation 7.66s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
double_divide(X0,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,X2))),X1),identity)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,plain,
double_divide(double_divide(X0,X1),identity) = multiply(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
cnf(c_51,plain,
double_divide(X0,identity) = inverse(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
cnf(c_52,plain,
double_divide(X0,inverse(X0)) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
cnf(c_53,negated_conjecture,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(inverse(a1),a1) != identity
| multiply(identity,a2) != a2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).
cnf(c_72,plain,
inverse(double_divide(X0,X1)) = multiply(X1,X0),
inference(demodulation,[status(thm)],[c_50,c_51]) ).
cnf(c_73,plain,
double_divide(X0,double_divide(double_divide(double_divide(identity,double_divide(inverse(X0),double_divide(X1,X2))),X1),identity)) = X2,
inference(light_normalisation,[status(thm)],[c_49,c_51]) ).
cnf(c_74,plain,
double_divide(X0,multiply(X1,double_divide(identity,double_divide(inverse(X0),double_divide(X1,X2))))) = X2,
inference(demodulation,[status(thm)],[c_73,c_51,c_72]) ).
cnf(c_85,plain,
multiply(a3,b3) = sP0_iProver_def,
definition ).
cnf(c_86,plain,
multiply(sP0_iProver_def,c3) = sP1_iProver_def,
definition ).
cnf(c_87,plain,
multiply(b3,c3) = sP2_iProver_def,
definition ).
cnf(c_88,plain,
multiply(a3,sP2_iProver_def) = sP3_iProver_def,
definition ).
cnf(c_89,plain,
inverse(a1) = sP4_iProver_def,
definition ).
cnf(c_90,plain,
multiply(sP4_iProver_def,a1) = sP5_iProver_def,
definition ).
cnf(c_91,plain,
multiply(identity,a2) = sP6_iProver_def,
definition ).
cnf(c_92,negated_conjecture,
( sP1_iProver_def != sP3_iProver_def
| sP5_iProver_def != identity
| sP6_iProver_def != a2 ),
inference(demodulation,[status(thm)],[c_53,c_91,c_89,c_90,c_87,c_88,c_85,c_86]) ).
cnf(c_157,plain,
multiply(identity,X0) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_51,c_72]) ).
cnf(c_159,plain,
double_divide(a1,sP4_iProver_def) = identity,
inference(superposition,[status(thm)],[c_89,c_52]) ).
cnf(c_160,plain,
double_divide(double_divide(X0,X1),multiply(X1,X0)) = identity,
inference(superposition,[status(thm)],[c_72,c_52]) ).
cnf(c_161,plain,
multiply(inverse(X0),X0) = inverse(identity),
inference(superposition,[status(thm)],[c_52,c_72]) ).
cnf(c_164,plain,
double_divide(a1,multiply(X0,double_divide(identity,double_divide(sP4_iProver_def,double_divide(X0,X1))))) = X1,
inference(superposition,[status(thm)],[c_89,c_74]) ).
cnf(c_165,plain,
double_divide(double_divide(X0,X1),multiply(X2,double_divide(identity,double_divide(multiply(X1,X0),double_divide(X2,X3))))) = X3,
inference(superposition,[status(thm)],[c_72,c_74]) ).
cnf(c_166,plain,
double_divide(X0,multiply(X1,double_divide(identity,double_divide(inverse(X0),inverse(X1))))) = identity,
inference(superposition,[status(thm)],[c_51,c_74]) ).
cnf(c_167,plain,
double_divide(X0,multiply(X1,double_divide(identity,double_divide(inverse(X0),identity)))) = inverse(X1),
inference(superposition,[status(thm)],[c_52,c_74]) ).
cnf(c_178,plain,
multiply(sP4_iProver_def,a1) = inverse(identity),
inference(superposition,[status(thm)],[c_159,c_72]) ).
cnf(c_179,plain,
inverse(identity) = sP5_iProver_def,
inference(light_normalisation,[status(thm)],[c_178,c_90]) ).
cnf(c_182,plain,
double_divide(identity,sP5_iProver_def) = identity,
inference(superposition,[status(thm)],[c_179,c_52]) ).
cnf(c_185,plain,
multiply(sP5_iProver_def,identity) = inverse(identity),
inference(superposition,[status(thm)],[c_182,c_72]) ).
cnf(c_186,plain,
multiply(sP5_iProver_def,identity) = sP5_iProver_def,
inference(light_normalisation,[status(thm)],[c_185,c_179]) ).
cnf(c_188,plain,
multiply(identity,a1) = inverse(sP4_iProver_def),
inference(superposition,[status(thm)],[c_89,c_157]) ).
cnf(c_190,plain,
multiply(identity,double_divide(X0,X1)) = inverse(multiply(X1,X0)),
inference(superposition,[status(thm)],[c_72,c_157]) ).
cnf(c_206,plain,
multiply(inverse(X0),X0) = sP5_iProver_def,
inference(light_normalisation,[status(thm)],[c_161,c_179]) ).
cnf(c_209,plain,
multiply(multiply(X0,X1),double_divide(X1,X0)) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_72,c_206]) ).
cnf(c_329,plain,
double_divide(a1,multiply(X0,double_divide(identity,double_divide(sP4_iProver_def,identity)))) = inverse(X0),
inference(superposition,[status(thm)],[c_52,c_164]) ).
cnf(c_330,plain,
multiply(X0,double_divide(identity,double_divide(inverse(X1),double_divide(X0,X2)))) = double_divide(a1,multiply(X1,double_divide(identity,double_divide(sP4_iProver_def,X2)))),
inference(superposition,[status(thm)],[c_74,c_164]) ).
cnf(c_481,plain,
double_divide(identity,multiply(X0,double_divide(identity,double_divide(multiply(inverse(X1),X1),double_divide(X0,X2))))) = X2,
inference(superposition,[status(thm)],[c_52,c_165]) ).
cnf(c_483,plain,
double_divide(identity,multiply(X0,double_divide(identity,double_divide(multiply(multiply(X1,X2),double_divide(X2,X1)),double_divide(X0,X3))))) = X3,
inference(superposition,[status(thm)],[c_160,c_165]) ).
cnf(c_494,plain,
double_divide(double_divide(c3,b3),multiply(X0,double_divide(identity,double_divide(sP2_iProver_def,double_divide(X0,X1))))) = X1,
inference(superposition,[status(thm)],[c_87,c_165]) ).
cnf(c_511,plain,
double_divide(double_divide(X0,X1),multiply(X2,double_divide(identity,double_divide(multiply(X1,X0),identity)))) = inverse(X2),
inference(superposition,[status(thm)],[c_52,c_165]) ).
cnf(c_746,plain,
double_divide(X0,multiply(inverse(X0),double_divide(identity,identity))) = identity,
inference(superposition,[status(thm)],[c_52,c_166]) ).
cnf(c_804,plain,
double_divide(X0,multiply(inverse(X0),sP5_iProver_def)) = identity,
inference(demodulation,[status(thm)],[c_746,c_51,c_179]) ).
cnf(c_805,plain,
double_divide(sP5_iProver_def,sP5_iProver_def) = identity,
inference(superposition,[status(thm)],[c_206,c_804]) ).
cnf(c_816,plain,
double_divide(double_divide(X0,X1),multiply(X2,double_divide(identity,double_divide(multiply(X1,X0),identity)))) = multiply(inverse(X2),sP5_iProver_def),
inference(superposition,[status(thm)],[c_804,c_165]) ).
cnf(c_819,plain,
multiply(inverse(X0),sP5_iProver_def) = inverse(X0),
inference(light_normalisation,[status(thm)],[c_816,c_511]) ).
cnf(c_910,plain,
multiply(multiply(X0,X1),sP5_iProver_def) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_72,c_819]) ).
cnf(c_916,plain,
inverse(sP5_iProver_def) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_819,c_206]) ).
cnf(c_928,plain,
multiply(identity,sP5_iProver_def) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_916,c_157]) ).
cnf(c_1023,plain,
double_divide(X0,multiply(X1,double_divide(identity,multiply(identity,X0)))) = inverse(X1),
inference(demodulation,[status(thm)],[c_167,c_51,c_157]) ).
cnf(c_1033,plain,
double_divide(sP5_iProver_def,multiply(X0,double_divide(identity,sP5_iProver_def))) = inverse(X0),
inference(superposition,[status(thm)],[c_928,c_1023]) ).
cnf(c_1041,plain,
double_divide(sP5_iProver_def,multiply(X0,identity)) = inverse(X0),
inference(light_normalisation,[status(thm)],[c_1033,c_182]) ).
cnf(c_1094,plain,
multiply(sP2_iProver_def,sP5_iProver_def) = sP2_iProver_def,
inference(superposition,[status(thm)],[c_87,c_910]) ).
cnf(c_1096,plain,
multiply(sP1_iProver_def,sP5_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_86,c_910]) ).
cnf(c_1460,plain,
double_divide(sP5_iProver_def,sP5_iProver_def) = inverse(sP5_iProver_def),
inference(superposition,[status(thm)],[c_186,c_1041]) ).
cnf(c_1464,plain,
multiply(multiply(X0,identity),sP5_iProver_def) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_1041,c_72]) ).
cnf(c_1465,plain,
identity = sP5_iProver_def,
inference(light_normalisation,[status(thm)],[c_1460,c_805,c_916]) ).
cnf(c_1468,plain,
multiply(multiply(X0,identity),sP5_iProver_def) = multiply(identity,X0),
inference(light_normalisation,[status(thm)],[c_1464,c_157]) ).
cnf(c_1469,plain,
double_divide(sP5_iProver_def,multiply(X0,sP5_iProver_def)) = inverse(X0),
inference(demodulation,[status(thm)],[c_1041,c_1465]) ).
cnf(c_1484,plain,
multiply(sP5_iProver_def,double_divide(X0,X1)) = inverse(multiply(X1,X0)),
inference(demodulation,[status(thm)],[c_190,c_1465]) ).
cnf(c_1491,plain,
double_divide(double_divide(X0,X1),multiply(X1,X0)) = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_160,c_1465]) ).
cnf(c_1495,plain,
multiply(sP5_iProver_def,a1) = inverse(sP4_iProver_def),
inference(demodulation,[status(thm)],[c_188,c_1465]) ).
cnf(c_1496,plain,
multiply(sP5_iProver_def,X0) = inverse(inverse(X0)),
inference(demodulation,[status(thm)],[c_157,c_1465]) ).
cnf(c_1501,plain,
double_divide(X0,inverse(X0)) = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_52,c_1465]) ).
cnf(c_1502,plain,
double_divide(X0,sP5_iProver_def) = inverse(X0),
inference(demodulation,[status(thm)],[c_51,c_1465]) ).
cnf(c_1503,plain,
multiply(sP5_iProver_def,a2) = sP6_iProver_def,
inference(demodulation,[status(thm)],[c_91,c_1465]) ).
cnf(c_1504,plain,
( a2 != sP6_iProver_def
| sP1_iProver_def != sP3_iProver_def
| sP5_iProver_def != sP5_iProver_def ),
inference(demodulation,[status(thm)],[c_92,c_1465]) ).
cnf(c_1505,plain,
( a2 != sP6_iProver_def
| sP1_iProver_def != sP3_iProver_def ),
inference(equality_resolution_simp,[status(thm)],[c_1504]) ).
cnf(c_1542,plain,
multiply(multiply(X0,sP5_iProver_def),sP5_iProver_def) = multiply(sP5_iProver_def,X0),
inference(light_normalisation,[status(thm)],[c_1468,c_1465]) ).
cnf(c_1543,plain,
multiply(X0,sP5_iProver_def) = multiply(sP5_iProver_def,X0),
inference(demodulation,[status(thm)],[c_1542,c_910]) ).
cnf(c_1544,plain,
multiply(sP5_iProver_def,multiply(X0,X1)) = multiply(X0,X1),
inference(demodulation,[status(thm)],[c_910,c_1543]) ).
cnf(c_1545,plain,
multiply(sP5_iProver_def,inverse(X0)) = inverse(X0),
inference(demodulation,[status(thm)],[c_819,c_1543]) ).
cnf(c_1605,plain,
double_divide(a1,multiply(X0,double_divide(sP5_iProver_def,double_divide(sP4_iProver_def,sP5_iProver_def)))) = inverse(X0),
inference(light_normalisation,[status(thm)],[c_329,c_1465]) ).
cnf(c_1606,plain,
double_divide(a1,multiply(X0,double_divide(sP5_iProver_def,inverse(sP4_iProver_def)))) = inverse(X0),
inference(demodulation,[status(thm)],[c_1605,c_1502]) ).
cnf(c_2446,plain,
double_divide(double_divide(c3,b3),multiply(X0,double_divide(sP5_iProver_def,double_divide(sP2_iProver_def,double_divide(X0,X1))))) = X1,
inference(light_normalisation,[status(thm)],[c_494,c_1465]) ).
cnf(c_2469,plain,
multiply(multiply(X0,double_divide(sP5_iProver_def,double_divide(sP2_iProver_def,double_divide(X0,X1)))),double_divide(c3,b3)) = inverse(X1),
inference(superposition,[status(thm)],[c_2446,c_72]) ).
cnf(c_2523,plain,
double_divide(sP5_iProver_def,multiply(sP5_iProver_def,X0)) = inverse(X0),
inference(superposition,[status(thm)],[c_1543,c_1469]) ).
cnf(c_2525,plain,
double_divide(sP5_iProver_def,sP2_iProver_def) = inverse(sP2_iProver_def),
inference(superposition,[status(thm)],[c_1094,c_1469]) ).
cnf(c_2526,plain,
double_divide(sP5_iProver_def,sP1_iProver_def) = inverse(sP1_iProver_def),
inference(superposition,[status(thm)],[c_1096,c_1469]) ).
cnf(c_2607,plain,
multiply(sP2_iProver_def,sP5_iProver_def) = inverse(inverse(sP2_iProver_def)),
inference(superposition,[status(thm)],[c_2525,c_72]) ).
cnf(c_2610,plain,
inverse(inverse(sP2_iProver_def)) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_2607,c_1094]) ).
cnf(c_2615,plain,
multiply(sP1_iProver_def,sP5_iProver_def) = inverse(inverse(sP1_iProver_def)),
inference(superposition,[status(thm)],[c_2526,c_72]) ).
cnf(c_2618,plain,
inverse(inverse(sP1_iProver_def)) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_2615,c_1096]) ).
cnf(c_3715,plain,
double_divide(sP5_iProver_def,inverse(X0)) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_1545,c_2523]) ).
cnf(c_3716,plain,
double_divide(sP5_iProver_def,inverse(sP4_iProver_def)) = inverse(a1),
inference(superposition,[status(thm)],[c_1495,c_2523]) ).
cnf(c_3727,plain,
double_divide(sP5_iProver_def,inverse(sP4_iProver_def)) = sP4_iProver_def,
inference(light_normalisation,[status(thm)],[c_3716,c_89]) ).
cnf(c_3728,plain,
double_divide(sP5_iProver_def,inverse(X0)) = multiply(sP5_iProver_def,X0),
inference(light_normalisation,[status(thm)],[c_3715,c_1496]) ).
cnf(c_3732,plain,
double_divide(a1,multiply(X0,sP4_iProver_def)) = inverse(X0),
inference(demodulation,[status(thm)],[c_1606,c_3727]) ).
cnf(c_3750,plain,
multiply(X0,double_divide(sP5_iProver_def,double_divide(inverse(X1),double_divide(X0,X2)))) = double_divide(a1,multiply(X1,double_divide(sP5_iProver_def,double_divide(sP4_iProver_def,X2)))),
inference(light_normalisation,[status(thm)],[c_330,c_1465]) ).
cnf(c_3753,plain,
multiply(X0,double_divide(sP5_iProver_def,double_divide(multiply(X1,X2),double_divide(X0,X3)))) = double_divide(a1,multiply(double_divide(X2,X1),double_divide(sP5_iProver_def,double_divide(sP4_iProver_def,X3)))),
inference(superposition,[status(thm)],[c_72,c_3750]) ).
cnf(c_4872,plain,
double_divide(sP5_iProver_def,multiply(X0,X1)) = multiply(sP5_iProver_def,double_divide(X1,X0)),
inference(superposition,[status(thm)],[c_72,c_3728]) ).
cnf(c_4962,plain,
double_divide(sP5_iProver_def,multiply(X0,X1)) = inverse(multiply(X0,X1)),
inference(demodulation,[status(thm)],[c_4872,c_1484]) ).
cnf(c_4963,plain,
inverse(multiply(X0,sP5_iProver_def)) = inverse(X0),
inference(demodulation,[status(thm)],[c_1469,c_4962]) ).
cnf(c_5108,plain,
double_divide(sP5_iProver_def,multiply(X0,double_divide(sP5_iProver_def,double_divide(multiply(inverse(X1),X1),double_divide(X0,X2))))) = X2,
inference(light_normalisation,[status(thm)],[c_481,c_1465]) ).
cnf(c_5109,plain,
multiply(sP5_iProver_def,X0) = X0,
inference(demodulation,[status(thm)],[c_5108,c_72,c_1484,c_1496,c_1501,c_3732,c_3753,c_4962,c_4963]) ).
cnf(c_5116,plain,
inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_1496,c_5109]) ).
cnf(c_5117,plain,
multiply(X0,sP5_iProver_def) = X0,
inference(demodulation,[status(thm)],[c_1543,c_5109]) ).
cnf(c_5120,plain,
a2 = sP6_iProver_def,
inference(demodulation,[status(thm)],[c_1503,c_5109]) ).
cnf(c_5129,plain,
sP1_iProver_def != sP3_iProver_def,
inference(backward_subsumption_resolution,[status(thm)],[c_1505,c_5120]) ).
cnf(c_5139,plain,
double_divide(sP5_iProver_def,X0) = inverse(X0),
inference(superposition,[status(thm)],[c_5109,c_4962]) ).
cnf(c_5178,plain,
inverse(multiply(X0,X1)) = double_divide(X1,X0),
inference(superposition,[status(thm)],[c_72,c_5116]) ).
cnf(c_5221,plain,
double_divide(b3,a3) = inverse(sP0_iProver_def),
inference(superposition,[status(thm)],[c_85,c_5178]) ).
cnf(c_5222,plain,
double_divide(c3,b3) = inverse(sP2_iProver_def),
inference(superposition,[status(thm)],[c_87,c_5178]) ).
cnf(c_5223,plain,
double_divide(c3,sP0_iProver_def) = inverse(sP1_iProver_def),
inference(superposition,[status(thm)],[c_86,c_5178]) ).
cnf(c_6835,plain,
double_divide(sP5_iProver_def,multiply(X0,double_divide(sP5_iProver_def,double_divide(multiply(multiply(X1,X2),double_divide(X2,X1)),double_divide(X0,X3))))) = X3,
inference(light_normalisation,[status(thm)],[c_483,c_1465]) ).
cnf(c_6836,plain,
double_divide(double_divide(X0,X1),X0) = X1,
inference(demodulation,[status(thm)],[c_6835,c_72,c_209,c_5117,c_5139,c_5178]) ).
cnf(c_6842,plain,
double_divide(sP5_iProver_def,double_divide(X0,X1)) = multiply(X1,X0),
inference(superposition,[status(thm)],[c_1491,c_6836]) ).
cnf(c_6843,plain,
double_divide(inverse(sP0_iProver_def),b3) = a3,
inference(superposition,[status(thm)],[c_5221,c_6836]) ).
cnf(c_6845,plain,
double_divide(inverse(sP1_iProver_def),c3) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_5223,c_6836]) ).
cnf(c_6862,plain,
double_divide(X0,double_divide(X1,X0)) = X1,
inference(superposition,[status(thm)],[c_6836,c_6836]) ).
cnf(c_6865,plain,
multiply(X0,double_divide(X0,X1)) = inverse(X1),
inference(superposition,[status(thm)],[c_6836,c_72]) ).
cnf(c_6888,plain,
multiply(c3,inverse(sP2_iProver_def)) = inverse(b3),
inference(superposition,[status(thm)],[c_5222,c_6865]) ).
cnf(c_7275,plain,
multiply(inverse(sP1_iProver_def),sP0_iProver_def) = inverse(c3),
inference(superposition,[status(thm)],[c_6845,c_6865]) ).
cnf(c_7547,plain,
double_divide(double_divide(X0,X1),multiply(X2,double_divide(sP5_iProver_def,double_divide(multiply(X1,X0),sP5_iProver_def)))) = inverse(X2),
inference(light_normalisation,[status(thm)],[c_511,c_1465]) ).
cnf(c_7548,plain,
double_divide(double_divide(X0,X1),multiply(X2,multiply(X1,X0))) = inverse(X2),
inference(demodulation,[status(thm)],[c_7547,c_1544,c_6842]) ).
cnf(c_7591,plain,
double_divide(double_divide(X0,sP5_iProver_def),multiply(X1,X0)) = inverse(X1),
inference(superposition,[status(thm)],[c_5109,c_7548]) ).
cnf(c_7605,plain,
double_divide(double_divide(double_divide(X0,X1),X0),multiply(X2,inverse(X1))) = inverse(X2),
inference(superposition,[status(thm)],[c_6865,c_7548]) ).
cnf(c_7618,plain,
double_divide(inverse(X0),multiply(X1,X0)) = inverse(X1),
inference(light_normalisation,[status(thm)],[c_7591,c_1502]) ).
cnf(c_7654,plain,
double_divide(X0,multiply(X1,inverse(X0))) = inverse(X1),
inference(light_normalisation,[status(thm)],[c_7605,c_6836]) ).
cnf(c_9216,plain,
double_divide(inverse(inverse(sP2_iProver_def)),inverse(b3)) = inverse(c3),
inference(superposition,[status(thm)],[c_6888,c_7618]) ).
cnf(c_9226,plain,
double_divide(inverse(sP0_iProver_def),inverse(c3)) = inverse(inverse(sP1_iProver_def)),
inference(superposition,[status(thm)],[c_7275,c_7618]) ).
cnf(c_9251,plain,
double_divide(inverse(sP0_iProver_def),inverse(c3)) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_9226,c_2618]) ).
cnf(c_9256,plain,
double_divide(sP2_iProver_def,inverse(b3)) = inverse(c3),
inference(light_normalisation,[status(thm)],[c_9216,c_2610]) ).
cnf(c_10946,plain,
double_divide(inverse(X0),X1) = multiply(X0,inverse(X1)),
inference(superposition,[status(thm)],[c_7654,c_6836]) ).
cnf(c_11201,plain,
multiply(multiply(X0,double_divide(sP5_iProver_def,double_divide(sP2_iProver_def,double_divide(X0,X1)))),inverse(sP2_iProver_def)) = inverse(X1),
inference(light_normalisation,[status(thm)],[c_2469,c_5222]) ).
cnf(c_11202,plain,
double_divide(double_divide(multiply(double_divide(X0,X1),sP2_iProver_def),X0),sP2_iProver_def) = inverse(X1),
inference(demodulation,[status(thm)],[c_11201,c_5178,c_6842,c_10946]) ).
cnf(c_11228,plain,
double_divide(double_divide(multiply(a3,sP2_iProver_def),inverse(sP0_iProver_def)),sP2_iProver_def) = inverse(b3),
inference(superposition,[status(thm)],[c_6843,c_11202]) ).
cnf(c_11270,plain,
double_divide(double_divide(sP3_iProver_def,inverse(sP0_iProver_def)),sP2_iProver_def) = inverse(b3),
inference(light_normalisation,[status(thm)],[c_11228,c_88]) ).
cnf(c_13920,plain,
double_divide(sP2_iProver_def,inverse(b3)) = double_divide(sP3_iProver_def,inverse(sP0_iProver_def)),
inference(superposition,[status(thm)],[c_11270,c_6862]) ).
cnf(c_13930,plain,
double_divide(sP3_iProver_def,inverse(sP0_iProver_def)) = inverse(c3),
inference(light_normalisation,[status(thm)],[c_13920,c_9256]) ).
cnf(c_13940,plain,
double_divide(inverse(sP0_iProver_def),inverse(c3)) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_13930,c_6862]) ).
cnf(c_13950,plain,
sP1_iProver_def = sP3_iProver_def,
inference(light_normalisation,[status(thm)],[c_13940,c_9251]) ).
cnf(c_13951,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_13950,c_5129]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : GRP077-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.13/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n006.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 2 23:50:34 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.66/1.68 % SZS status Started for theBenchmark.p
% 7.66/1.68 % SZS status Unsatisfiable for theBenchmark.p
% 7.66/1.68
% 7.66/1.68 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.66/1.68
% 7.66/1.68 ------ iProver source info
% 7.66/1.68
% 7.66/1.68 git: date: 2024-05-02 19:28:25 +0000
% 7.66/1.68 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.66/1.68 git: non_committed_changes: false
% 7.66/1.68
% 7.66/1.68 ------ Parsing...successful
% 7.66/1.68
% 7.66/1.68
% 7.66/1.68
% 7.66/1.68 ------ Preprocessing... sup_sim: 2 sf_s rm: 0 0s sf_e pe_s pe_e
% 7.66/1.68
% 7.66/1.68 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.66/1.68
% 7.66/1.68 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 7.66/1.68 ------ Proving...
% 7.66/1.68 ------ Problem Properties
% 7.66/1.68
% 7.66/1.68
% 7.66/1.68 clauses 12
% 7.66/1.68 conjectures 1
% 7.66/1.68 EPR 1
% 7.66/1.68 Horn 12
% 7.66/1.68 unary 11
% 7.66/1.68 binary 0
% 7.66/1.68 lits 14
% 7.66/1.68 lits eq 14
% 7.66/1.68 fd_pure 0
% 7.66/1.68 fd_pseudo 0
% 7.66/1.68 fd_cond 0
% 7.66/1.68 fd_pseudo_cond 0
% 7.66/1.68 AC symbols 0
% 7.66/1.68
% 7.66/1.68 ------ Schedule dynamic 5 is on
% 7.66/1.68
% 7.66/1.68 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.66/1.68
% 7.66/1.68
% 7.66/1.68 ------
% 7.66/1.68 Current options:
% 7.66/1.68 ------
% 7.66/1.68
% 7.66/1.68
% 7.66/1.68
% 7.66/1.68
% 7.66/1.68 ------ Proving...
% 7.66/1.68
% 7.66/1.68
% 7.66/1.68 % SZS status Unsatisfiable for theBenchmark.p
% 7.66/1.68
% 7.66/1.68 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.66/1.68
% 7.66/1.68
%------------------------------------------------------------------------------