TSTP Solution File: GRP110-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP110-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n023.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 02:20:59 EDT 2024
% Result : Unsatisfiable 36.71s 5.80s
% Output : CNFRefutation 36.71s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
inverse(double_divide(inverse(double_divide(inverse(double_divide(X0,X1)),X2)),double_divide(X0,X2))) = X1,
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(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(a4,b4) != multiply(b4,a4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
cnf(c_66,plain,
inverse(double_divide(inverse(double_divide(multiply(X0,X1),X2)),double_divide(X1,X2))) = X0,
inference(light_normalisation,[status(thm)],[c_49,c_50]) ).
cnf(c_67,plain,
multiply(double_divide(X0,X1),multiply(X1,multiply(X2,X0))) = X2,
inference(demodulation,[status(thm)],[c_66,c_50]) ).
cnf(c_77,plain,
inverse(b2) = sP0_iProver_def,
definition ).
cnf(c_78,plain,
multiply(sP0_iProver_def,b2) = sP1_iProver_def,
definition ).
cnf(c_79,plain,
multiply(sP1_iProver_def,a2) = sP2_iProver_def,
definition ).
cnf(c_80,plain,
multiply(a3,b3) = sP3_iProver_def,
definition ).
cnf(c_81,plain,
multiply(sP3_iProver_def,c3) = sP4_iProver_def,
definition ).
cnf(c_82,plain,
multiply(b3,c3) = sP5_iProver_def,
definition ).
cnf(c_83,plain,
multiply(a3,sP5_iProver_def) = sP6_iProver_def,
definition ).
cnf(c_84,plain,
inverse(a1) = sP7_iProver_def,
definition ).
cnf(c_85,plain,
multiply(sP7_iProver_def,a1) = sP8_iProver_def,
definition ).
cnf(c_86,plain,
inverse(b1) = sP9_iProver_def,
definition ).
cnf(c_87,plain,
multiply(sP9_iProver_def,b1) = sP10_iProver_def,
definition ).
cnf(c_88,plain,
multiply(a4,b4) = sP11_iProver_def,
definition ).
cnf(c_89,plain,
multiply(b4,a4) = sP12_iProver_def,
definition ).
cnf(c_90,negated_conjecture,
( sP2_iProver_def != a2
| sP4_iProver_def != sP6_iProver_def
| sP8_iProver_def != sP10_iProver_def
| sP11_iProver_def != sP12_iProver_def ),
inference(demodulation,[status(thm)],[c_51,c_89,c_88,c_86,c_87,c_84,c_85,c_82,c_83,c_80,c_81,c_77,c_78,c_79]) ).
cnf(c_159,plain,
multiply(double_divide(b3,X0),multiply(X0,sP3_iProver_def)) = a3,
inference(superposition,[status(thm)],[c_80,c_67]) ).
cnf(c_161,plain,
multiply(double_divide(b2,X0),multiply(X0,sP1_iProver_def)) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_78,c_67]) ).
cnf(c_162,plain,
multiply(double_divide(a2,X0),multiply(X0,sP2_iProver_def)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_79,c_67]) ).
cnf(c_164,plain,
multiply(double_divide(multiply(X0,multiply(X1,X2)),X3),multiply(X3,X1)) = double_divide(X2,X0),
inference(superposition,[status(thm)],[c_67,c_67]) ).
cnf(c_165,plain,
multiply(double_divide(multiply(X0,X1),double_divide(X1,X2)),X0) = X2,
inference(superposition,[status(thm)],[c_67,c_67]) ).
cnf(c_172,plain,
multiply(double_divide(c3,X0),multiply(X0,sP5_iProver_def)) = b3,
inference(superposition,[status(thm)],[c_82,c_67]) ).
cnf(c_174,plain,
multiply(double_divide(sP5_iProver_def,X0),multiply(X0,sP6_iProver_def)) = a3,
inference(superposition,[status(thm)],[c_83,c_67]) ).
cnf(c_178,plain,
multiply(double_divide(b1,X0),multiply(X0,sP10_iProver_def)) = sP9_iProver_def,
inference(superposition,[status(thm)],[c_87,c_67]) ).
cnf(c_180,plain,
multiply(double_divide(b4,X0),multiply(X0,sP11_iProver_def)) = a4,
inference(superposition,[status(thm)],[c_88,c_67]) ).
cnf(c_188,plain,
multiply(double_divide(multiply(X0,sP1_iProver_def),X1),multiply(X1,sP0_iProver_def)) = double_divide(b2,X0),
inference(superposition,[status(thm)],[c_161,c_67]) ).
cnf(c_189,plain,
multiply(double_divide(sP1_iProver_def,double_divide(b2,X0)),sP0_iProver_def) = X0,
inference(superposition,[status(thm)],[c_161,c_67]) ).
cnf(c_193,plain,
multiply(double_divide(sP2_iProver_def,double_divide(a2,X0)),sP1_iProver_def) = X0,
inference(superposition,[status(thm)],[c_162,c_67]) ).
cnf(c_217,plain,
multiply(double_divide(sP6_iProver_def,double_divide(sP5_iProver_def,X0)),a3) = X0,
inference(superposition,[status(thm)],[c_174,c_67]) ).
cnf(c_245,plain,
multiply(double_divide(sP10_iProver_def,double_divide(b1,X0)),sP9_iProver_def) = X0,
inference(superposition,[status(thm)],[c_178,c_67]) ).
cnf(c_248,plain,
double_divide(multiply(X0,X1),double_divide(X1,X2)) = multiply(double_divide(X0,X3),multiply(X3,X2)),
inference(superposition,[status(thm)],[c_67,c_164]) ).
cnf(c_251,plain,
multiply(double_divide(sP0_iProver_def,X0),multiply(X0,X1)) = double_divide(sP1_iProver_def,double_divide(b2,X1)),
inference(superposition,[status(thm)],[c_161,c_164]) ).
cnf(c_252,plain,
multiply(double_divide(sP1_iProver_def,X0),multiply(X0,X1)) = double_divide(sP2_iProver_def,double_divide(a2,X1)),
inference(superposition,[status(thm)],[c_162,c_164]) ).
cnf(c_254,plain,
multiply(double_divide(b3,X0),multiply(X0,X1)) = double_divide(sP5_iProver_def,double_divide(c3,X1)),
inference(superposition,[status(thm)],[c_172,c_164]) ).
cnf(c_257,plain,
multiply(double_divide(sP9_iProver_def,X0),multiply(X0,X1)) = double_divide(sP10_iProver_def,double_divide(b1,X1)),
inference(superposition,[status(thm)],[c_178,c_164]) ).
cnf(c_303,plain,
double_divide(X0,double_divide(multiply(X1,multiply(X0,X2)),X3)) = multiply(double_divide(double_divide(X2,X1),X4),multiply(X4,X3)),
inference(superposition,[status(thm)],[c_164,c_164]) ).
cnf(c_305,plain,
double_divide(sP5_iProver_def,double_divide(c3,sP3_iProver_def)) = a3,
inference(demodulation,[status(thm)],[c_159,c_254]) ).
cnf(c_576,plain,
multiply(double_divide(sP6_iProver_def,a3),a3) = double_divide(c3,sP3_iProver_def),
inference(superposition,[status(thm)],[c_305,c_217]) ).
cnf(c_636,plain,
multiply(double_divide(sP12_iProver_def,double_divide(a4,X0)),b4) = X0,
inference(superposition,[status(thm)],[c_89,c_165]) ).
cnf(c_675,plain,
double_divide(X0,multiply(double_divide(multiply(X1,X0),X2),X1)) = X2,
inference(superposition,[status(thm)],[c_165,c_164]) ).
cnf(c_825,plain,
multiply(double_divide(b4,X0),multiply(X0,X1)) = double_divide(sP12_iProver_def,double_divide(a4,X1)),
inference(superposition,[status(thm)],[c_636,c_67]) ).
cnf(c_828,plain,
double_divide(sP12_iProver_def,double_divide(a4,sP11_iProver_def)) = a4,
inference(demodulation,[status(thm)],[c_180,c_825]) ).
cnf(c_835,plain,
multiply(double_divide(a4,sP11_iProver_def),sP12_iProver_def) = inverse(a4),
inference(superposition,[status(thm)],[c_828,c_50]) ).
cnf(c_842,plain,
multiply(double_divide(sP12_iProver_def,X0),multiply(X0,inverse(a4))) = double_divide(a4,sP11_iProver_def),
inference(superposition,[status(thm)],[c_835,c_67]) ).
cnf(c_1356,plain,
double_divide(multiply(X0,X1),double_divide(X1,multiply(X2,X0))) = X2,
inference(superposition,[status(thm)],[c_164,c_675]) ).
cnf(c_1363,plain,
double_divide(a4,multiply(double_divide(sP12_iProver_def,X0),b4)) = X0,
inference(superposition,[status(thm)],[c_89,c_675]) ).
cnf(c_1368,plain,
double_divide(sP5_iProver_def,multiply(double_divide(sP6_iProver_def,X0),a3)) = X0,
inference(superposition,[status(thm)],[c_83,c_675]) ).
cnf(c_2212,plain,
double_divide(sP1_iProver_def,double_divide(b2,multiply(X0,sP0_iProver_def))) = X0,
inference(superposition,[status(thm)],[c_188,c_675]) ).
cnf(c_2414,plain,
multiply(double_divide(b2,multiply(X0,sP0_iProver_def)),sP1_iProver_def) = inverse(X0),
inference(superposition,[status(thm)],[c_2212,c_50]) ).
cnf(c_2548,plain,
double_divide(sP12_iProver_def,double_divide(a4,multiply(X0,b4))) = X0,
inference(superposition,[status(thm)],[c_89,c_1356]) ).
cnf(c_2551,plain,
double_divide(sP2_iProver_def,double_divide(a2,multiply(X0,sP1_iProver_def))) = X0,
inference(superposition,[status(thm)],[c_79,c_1356]) ).
cnf(c_2555,plain,
double_divide(sP10_iProver_def,double_divide(b1,multiply(X0,sP9_iProver_def))) = X0,
inference(superposition,[status(thm)],[c_87,c_1356]) ).
cnf(c_2615,plain,
double_divide(multiply(b2,X0),double_divide(X0,sP1_iProver_def)) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_78,c_1356]) ).
cnf(c_2619,plain,
double_divide(multiply(a1,X0),double_divide(X0,sP8_iProver_def)) = sP7_iProver_def,
inference(superposition,[status(thm)],[c_85,c_1356]) ).
cnf(c_2620,plain,
double_divide(multiply(b1,X0),double_divide(X0,sP10_iProver_def)) = sP9_iProver_def,
inference(superposition,[status(thm)],[c_87,c_1356]) ).
cnf(c_3121,plain,
multiply(double_divide(a4,multiply(X0,b4)),sP12_iProver_def) = inverse(X0),
inference(superposition,[status(thm)],[c_2548,c_50]) ).
cnf(c_3133,plain,
multiply(double_divide(a2,multiply(X0,sP1_iProver_def)),sP2_iProver_def) = inverse(X0),
inference(superposition,[status(thm)],[c_2551,c_50]) ).
cnf(c_3384,plain,
multiply(double_divide(X0,sP1_iProver_def),multiply(b2,X0)) = inverse(sP0_iProver_def),
inference(superposition,[status(thm)],[c_2615,c_50]) ).
cnf(c_3509,plain,
multiply(double_divide(X0,sP8_iProver_def),multiply(a1,X0)) = inverse(sP7_iProver_def),
inference(superposition,[status(thm)],[c_2619,c_50]) ).
cnf(c_3554,plain,
multiply(double_divide(X0,sP10_iProver_def),multiply(b1,X0)) = inverse(sP9_iProver_def),
inference(superposition,[status(thm)],[c_2620,c_50]) ).
cnf(c_3662,plain,
multiply(double_divide(sP12_iProver_def,X0),multiply(X0,inverse(X1))) = double_divide(a4,multiply(X1,b4)),
inference(superposition,[status(thm)],[c_3121,c_67]) ).
cnf(c_4440,plain,
multiply(double_divide(X0,double_divide(X0,sP1_iProver_def)),inverse(sP0_iProver_def)) = b2,
inference(superposition,[status(thm)],[c_3384,c_67]) ).
cnf(c_4540,plain,
multiply(double_divide(X0,double_divide(X0,sP8_iProver_def)),inverse(sP7_iProver_def)) = a1,
inference(superposition,[status(thm)],[c_3509,c_67]) ).
cnf(c_4629,plain,
multiply(double_divide(X0,double_divide(X0,sP10_iProver_def)),inverse(sP9_iProver_def)) = b1,
inference(superposition,[status(thm)],[c_3554,c_67]) ).
cnf(c_4787,plain,
double_divide(multiply(inverse(sP0_iProver_def),X0),sP1_iProver_def) = double_divide(X0,b2),
inference(superposition,[status(thm)],[c_4440,c_675]) ).
cnf(c_4901,plain,
double_divide(multiply(inverse(sP7_iProver_def),X0),sP8_iProver_def) = double_divide(X0,a1),
inference(superposition,[status(thm)],[c_4540,c_675]) ).
cnf(c_4961,plain,
double_divide(multiply(inverse(sP9_iProver_def),X0),sP10_iProver_def) = double_divide(X0,b1),
inference(superposition,[status(thm)],[c_4629,c_675]) ).
cnf(c_5221,plain,
multiply(sP1_iProver_def,multiply(inverse(sP0_iProver_def),X0)) = inverse(double_divide(X0,b2)),
inference(superposition,[status(thm)],[c_4787,c_50]) ).
cnf(c_5223,plain,
double_divide(X0,multiply(double_divide(X0,b2),inverse(sP0_iProver_def))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_4787,c_675]) ).
cnf(c_5344,plain,
multiply(sP8_iProver_def,multiply(inverse(sP7_iProver_def),X0)) = inverse(double_divide(X0,a1)),
inference(superposition,[status(thm)],[c_4901,c_50]) ).
cnf(c_5346,plain,
double_divide(X0,multiply(double_divide(X0,a1),inverse(sP7_iProver_def))) = sP8_iProver_def,
inference(superposition,[status(thm)],[c_4901,c_675]) ).
cnf(c_5401,plain,
multiply(sP10_iProver_def,multiply(inverse(sP9_iProver_def),X0)) = inverse(double_divide(X0,b1)),
inference(superposition,[status(thm)],[c_4961,c_50]) ).
cnf(c_5403,plain,
double_divide(X0,multiply(double_divide(X0,b1),inverse(sP9_iProver_def))) = sP10_iProver_def,
inference(superposition,[status(thm)],[c_4961,c_675]) ).
cnf(c_5863,plain,
multiply(multiply(double_divide(X0,b2),inverse(sP0_iProver_def)),X0) = inverse(sP1_iProver_def),
inference(superposition,[status(thm)],[c_5223,c_50]) ).
cnf(c_7144,plain,
multiply(sP1_iProver_def,multiply(inverse(sP0_iProver_def),X0)) = multiply(b2,X0),
inference(demodulation,[status(thm)],[c_5221,c_50]) ).
cnf(c_7348,plain,
multiply(multiply(double_divide(X0,b1),inverse(sP9_iProver_def)),X0) = inverse(sP10_iProver_def),
inference(superposition,[status(thm)],[c_5403,c_50]) ).
cnf(c_9260,plain,
multiply(sP8_iProver_def,multiply(inverse(sP7_iProver_def),X0)) = multiply(a1,X0),
inference(demodulation,[status(thm)],[c_5344,c_50]) ).
cnf(c_9391,plain,
multiply(sP10_iProver_def,multiply(inverse(sP9_iProver_def),X0)) = multiply(b1,X0),
inference(demodulation,[status(thm)],[c_5401,c_50]) ).
cnf(c_11211,plain,
double_divide(sP1_iProver_def,double_divide(b2,inverse(sP1_iProver_def))) = multiply(double_divide(sP0_iProver_def,b2),inverse(sP0_iProver_def)),
inference(superposition,[status(thm)],[c_5863,c_2212]) ).
cnf(c_13449,plain,
multiply(multiply(double_divide(X0,X1),multiply(X1,X2)),X0) = X2,
inference(superposition,[status(thm)],[c_248,c_165]) ).
cnf(c_14682,plain,
double_divide(sP10_iProver_def,double_divide(b1,inverse(sP10_iProver_def))) = multiply(double_divide(sP9_iProver_def,b1),inverse(sP9_iProver_def)),
inference(superposition,[status(thm)],[c_7348,c_2555]) ).
cnf(c_19546,plain,
multiply(double_divide(sP1_iProver_def,double_divide(b2,multiply(X0,sP0_iProver_def))),inverse(X0)) = double_divide(sP2_iProver_def,double_divide(a2,sP1_iProver_def)),
inference(superposition,[status(thm)],[c_2414,c_252]) ).
cnf(c_19659,plain,
double_divide(sP2_iProver_def,double_divide(a2,sP1_iProver_def)) = multiply(X0,inverse(X0)),
inference(light_normalisation,[status(thm)],[c_19546,c_2212]) ).
cnf(c_20575,plain,
multiply(multiply(X0,inverse(X0)),sP1_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_19659,c_193]) ).
cnf(c_21086,plain,
multiply(multiply(a1,sP7_iProver_def),sP1_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_84,c_20575]) ).
cnf(c_21087,plain,
multiply(multiply(b1,sP9_iProver_def),sP1_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_86,c_20575]) ).
cnf(c_21088,plain,
multiply(multiply(b2,sP0_iProver_def),sP1_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_77,c_20575]) ).
cnf(c_21133,plain,
multiply(double_divide(a2,sP1_iProver_def),sP2_iProver_def) = inverse(multiply(a1,sP7_iProver_def)),
inference(superposition,[status(thm)],[c_21086,c_3133]) ).
cnf(c_21134,plain,
double_divide(sP2_iProver_def,double_divide(a2,sP1_iProver_def)) = multiply(a1,sP7_iProver_def),
inference(superposition,[status(thm)],[c_21086,c_2551]) ).
cnf(c_21139,plain,
multiply(X0,inverse(X0)) = multiply(a1,sP7_iProver_def),
inference(demodulation,[status(thm)],[c_19659,c_21134]) ).
cnf(c_21166,plain,
double_divide(sP2_iProver_def,double_divide(a2,sP1_iProver_def)) = multiply(b1,sP9_iProver_def),
inference(superposition,[status(thm)],[c_21087,c_2551]) ).
cnf(c_21170,plain,
multiply(a1,sP7_iProver_def) = multiply(b1,sP9_iProver_def),
inference(light_normalisation,[status(thm)],[c_21166,c_21134]) ).
cnf(c_21199,plain,
double_divide(sP2_iProver_def,double_divide(a2,sP1_iProver_def)) = multiply(b2,sP0_iProver_def),
inference(superposition,[status(thm)],[c_21088,c_2551]) ).
cnf(c_21203,plain,
multiply(a1,sP7_iProver_def) = multiply(b2,sP0_iProver_def),
inference(light_normalisation,[status(thm)],[c_21199,c_21134]) ).
cnf(c_21233,plain,
multiply(double_divide(sP9_iProver_def,sP10_iProver_def),multiply(a1,sP7_iProver_def)) = inverse(sP9_iProver_def),
inference(superposition,[status(thm)],[c_21170,c_3554]) ).
cnf(c_21259,plain,
multiply(double_divide(sP0_iProver_def,sP1_iProver_def),multiply(a1,sP7_iProver_def)) = inverse(sP0_iProver_def),
inference(superposition,[status(thm)],[c_21203,c_3384]) ).
cnf(c_21270,plain,
multiply(double_divide(X0,X1),multiply(X1,X0)) = multiply(a1,sP7_iProver_def),
inference(superposition,[status(thm)],[c_50,c_21139]) ).
cnf(c_21274,plain,
multiply(double_divide(sP0_iProver_def,X0),multiply(a1,sP7_iProver_def)) = double_divide(sP1_iProver_def,double_divide(b2,inverse(X0))),
inference(superposition,[status(thm)],[c_21139,c_251]) ).
cnf(c_24782,plain,
multiply(double_divide(sP0_iProver_def,b2),inverse(sP0_iProver_def)) = inverse(sP0_iProver_def),
inference(demodulation,[status(thm)],[c_21259,c_11211,c_21274]) ).
cnf(c_24797,plain,
multiply(inverse(sP0_iProver_def),sP0_iProver_def) = inverse(sP1_iProver_def),
inference(superposition,[status(thm)],[c_24782,c_5863]) ).
cnf(c_24798,plain,
double_divide(sP0_iProver_def,inverse(sP0_iProver_def)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_24782,c_5223]) ).
cnf(c_24869,plain,
multiply(sP1_iProver_def,multiply(inverse(sP0_iProver_def),X0)) = double_divide(sP1_iProver_def,double_divide(b2,X0)),
inference(superposition,[status(thm)],[c_24798,c_251]) ).
cnf(c_24870,plain,
double_divide(sP1_iProver_def,double_divide(b2,X0)) = multiply(b2,X0),
inference(light_normalisation,[status(thm)],[c_24869,c_7144]) ).
cnf(c_24873,plain,
multiply(multiply(b2,X0),sP0_iProver_def) = X0,
inference(demodulation,[status(thm)],[c_189,c_24870]) ).
cnf(c_24875,plain,
multiply(b2,multiply(X0,sP0_iProver_def)) = X0,
inference(demodulation,[status(thm)],[c_2212,c_24870]) ).
cnf(c_24888,plain,
double_divide(inverse(sP1_iProver_def),double_divide(sP0_iProver_def,multiply(X0,inverse(sP0_iProver_def)))) = X0,
inference(superposition,[status(thm)],[c_24797,c_1356]) ).
cnf(c_24899,plain,
double_divide(inverse(sP1_iProver_def),sP1_iProver_def) = double_divide(sP0_iProver_def,b2),
inference(superposition,[status(thm)],[c_24797,c_4787]) ).
cnf(c_24942,plain,
multiply(multiply(a1,sP7_iProver_def),sP0_iProver_def) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_21203,c_24873]) ).
cnf(c_25049,plain,
multiply(double_divide(sP0_iProver_def,b2),X0) = X0,
inference(superposition,[status(thm)],[c_24875,c_67]) ).
cnf(c_25051,plain,
multiply(double_divide(X0,X1),multiply(X1,X0)) = double_divide(sP0_iProver_def,b2),
inference(superposition,[status(thm)],[c_24875,c_164]) ).
cnf(c_25054,plain,
double_divide(sP0_iProver_def,b2) = multiply(a1,sP7_iProver_def),
inference(light_normalisation,[status(thm)],[c_25051,c_21270]) ).
cnf(c_25134,plain,
double_divide(sP0_iProver_def,multiply(double_divide(sP0_iProver_def,X0),multiply(a1,sP7_iProver_def))) = X0,
inference(superposition,[status(thm)],[c_24942,c_675]) ).
cnf(c_25142,plain,
double_divide(sP0_iProver_def,double_divide(sP1_iProver_def,double_divide(b2,inverse(X0)))) = X0,
inference(light_normalisation,[status(thm)],[c_25134,c_21274]) ).
cnf(c_25338,plain,
multiply(multiply(a1,sP7_iProver_def),X0) = X0,
inference(light_normalisation,[status(thm)],[c_25049,c_25054]) ).
cnf(c_25360,plain,
multiply(double_divide(X0,multiply(a1,sP7_iProver_def)),multiply(X1,X0)) = X1,
inference(superposition,[status(thm)],[c_25338,c_67]) ).
cnf(c_25416,plain,
inverse(multiply(a1,sP7_iProver_def)) = multiply(a1,sP7_iProver_def),
inference(superposition,[status(thm)],[c_25338,c_21139]) ).
cnf(c_25424,plain,
multiply(double_divide(a2,sP1_iProver_def),sP2_iProver_def) = multiply(a1,sP7_iProver_def),
inference(demodulation,[status(thm)],[c_21133,c_25416]) ).
cnf(c_25741,plain,
double_divide(inverse(sP1_iProver_def),sP1_iProver_def) = multiply(a1,sP7_iProver_def),
inference(light_normalisation,[status(thm)],[c_24899,c_25054]) ).
cnf(c_27764,plain,
multiply(double_divide(sP9_iProver_def,X0),multiply(a1,sP7_iProver_def)) = double_divide(sP10_iProver_def,double_divide(b1,inverse(X0))),
inference(superposition,[status(thm)],[c_21139,c_257]) ).
cnf(c_27811,plain,
double_divide(sP10_iProver_def,double_divide(b1,inverse(sP10_iProver_def))) = inverse(sP9_iProver_def),
inference(demodulation,[status(thm)],[c_21233,c_27764]) ).
cnf(c_27812,plain,
multiply(double_divide(sP9_iProver_def,b1),inverse(sP9_iProver_def)) = inverse(sP9_iProver_def),
inference(light_normalisation,[status(thm)],[c_27811,c_14682]) ).
cnf(c_29001,plain,
double_divide(sP9_iProver_def,inverse(sP9_iProver_def)) = sP10_iProver_def,
inference(superposition,[status(thm)],[c_27812,c_5403]) ).
cnf(c_29108,plain,
multiply(sP10_iProver_def,multiply(inverse(sP9_iProver_def),X0)) = double_divide(sP10_iProver_def,double_divide(b1,X0)),
inference(superposition,[status(thm)],[c_29001,c_257]) ).
cnf(c_29109,plain,
double_divide(sP10_iProver_def,double_divide(b1,X0)) = multiply(b1,X0),
inference(light_normalisation,[status(thm)],[c_29108,c_9391]) ).
cnf(c_29112,plain,
multiply(multiply(b1,X0),sP9_iProver_def) = X0,
inference(demodulation,[status(thm)],[c_245,c_29109]) ).
cnf(c_30672,plain,
double_divide(sP0_iProver_def,multiply(b2,inverse(X0))) = X0,
inference(demodulation,[status(thm)],[c_25142,c_24870]) ).
cnf(c_33237,plain,
multiply(multiply(double_divide(X0,sP1_iProver_def),sP2_iProver_def),X0) = a2,
inference(superposition,[status(thm)],[c_79,c_13449]) ).
cnf(c_33240,plain,
multiply(multiply(double_divide(X0,sP7_iProver_def),sP8_iProver_def),X0) = a1,
inference(superposition,[status(thm)],[c_85,c_13449]) ).
cnf(c_33241,plain,
multiply(multiply(double_divide(X0,sP9_iProver_def),sP10_iProver_def),X0) = b1,
inference(superposition,[status(thm)],[c_87,c_13449]) ).
cnf(c_35784,plain,
multiply(multiply(multiply(a1,sP7_iProver_def),sP2_iProver_def),inverse(sP1_iProver_def)) = a2,
inference(superposition,[status(thm)],[c_25741,c_33237]) ).
cnf(c_38324,plain,
multiply(sP2_iProver_def,inverse(sP1_iProver_def)) = a2,
inference(demodulation,[status(thm)],[c_35784,c_25338]) ).
cnf(c_38331,plain,
double_divide(inverse(sP1_iProver_def),multiply(double_divide(a2,X0),sP2_iProver_def)) = X0,
inference(superposition,[status(thm)],[c_38324,c_675]) ).
cnf(c_38405,plain,
double_divide(inverse(sP1_iProver_def),inverse(X0)) = multiply(X0,sP1_iProver_def),
inference(superposition,[status(thm)],[c_3133,c_38331]) ).
cnf(c_38406,plain,
double_divide(inverse(sP1_iProver_def),multiply(a1,sP7_iProver_def)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_25424,c_38331]) ).
cnf(c_38461,plain,
multiply(multiply(sP1_iProver_def,multiply(multiply(a1,sP7_iProver_def),X0)),inverse(sP1_iProver_def)) = X0,
inference(superposition,[status(thm)],[c_38406,c_13449]) ).
cnf(c_38466,plain,
multiply(multiply(sP1_iProver_def,X0),inverse(sP1_iProver_def)) = X0,
inference(light_normalisation,[status(thm)],[c_38461,c_25338]) ).
cnf(c_38584,plain,
double_divide(inverse(sP1_iProver_def),multiply(X0,X1)) = multiply(double_divide(X1,X0),sP1_iProver_def),
inference(superposition,[status(thm)],[c_50,c_38405]) ).
cnf(c_38585,plain,
double_divide(inverse(sP1_iProver_def),sP7_iProver_def) = multiply(a1,sP1_iProver_def),
inference(superposition,[status(thm)],[c_84,c_38405]) ).
cnf(c_38586,plain,
double_divide(inverse(sP1_iProver_def),sP9_iProver_def) = multiply(b1,sP1_iProver_def),
inference(superposition,[status(thm)],[c_86,c_38405]) ).
cnf(c_38587,plain,
double_divide(inverse(sP1_iProver_def),sP0_iProver_def) = multiply(b2,sP1_iProver_def),
inference(superposition,[status(thm)],[c_77,c_38405]) ).
cnf(c_38596,plain,
multiply(double_divide(sP7_iProver_def,a1),sP1_iProver_def) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_38406,c_38584]) ).
cnf(c_38607,plain,
multiply(multiply(multiply(a1,sP1_iProver_def),sP8_iProver_def),inverse(sP1_iProver_def)) = a1,
inference(superposition,[status(thm)],[c_38585,c_33240]) ).
cnf(c_38647,plain,
multiply(multiply(multiply(b1,sP1_iProver_def),sP10_iProver_def),inverse(sP1_iProver_def)) = b1,
inference(superposition,[status(thm)],[c_38586,c_33241]) ).
cnf(c_38691,plain,
double_divide(sP2_iProver_def,double_divide(a2,sP1_iProver_def)) = double_divide(sP7_iProver_def,a1),
inference(superposition,[status(thm)],[c_38596,c_2551]) ).
cnf(c_38695,plain,
double_divide(sP7_iProver_def,a1) = multiply(a1,sP7_iProver_def),
inference(light_normalisation,[status(thm)],[c_38691,c_21134]) ).
cnf(c_38783,plain,
double_divide(sP7_iProver_def,multiply(multiply(a1,sP7_iProver_def),inverse(sP7_iProver_def))) = sP8_iProver_def,
inference(superposition,[status(thm)],[c_38695,c_5346]) ).
cnf(c_40034,plain,
double_divide(sP7_iProver_def,inverse(sP7_iProver_def)) = sP8_iProver_def,
inference(demodulation,[status(thm)],[c_38783,c_25338]) ).
cnf(c_40035,plain,
multiply(multiply(sP8_iProver_def,multiply(inverse(sP7_iProver_def),X0)),sP7_iProver_def) = X0,
inference(superposition,[status(thm)],[c_40034,c_13449]) ).
cnf(c_40041,plain,
multiply(multiply(a1,X0),sP7_iProver_def) = X0,
inference(light_normalisation,[status(thm)],[c_40035,c_9260]) ).
cnf(c_70152,plain,
double_divide(inverse(sP1_iProver_def),sP0_iProver_def) = b2,
inference(superposition,[status(thm)],[c_30672,c_24888]) ).
cnf(c_70183,plain,
multiply(b2,sP1_iProver_def) = b2,
inference(demodulation,[status(thm)],[c_38587,c_70152]) ).
cnf(c_70214,plain,
multiply(b2,sP0_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_70183,c_24873]) ).
cnf(c_70222,plain,
multiply(a1,sP7_iProver_def) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_21203,c_70214]) ).
cnf(c_70270,plain,
inverse(sP1_iProver_def) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_25416,c_70222]) ).
cnf(c_70274,plain,
multiply(sP1_iProver_def,X0) = X0,
inference(demodulation,[status(thm)],[c_25338,c_70222]) ).
cnf(c_70280,plain,
multiply(X0,inverse(X0)) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_21139,c_70222]) ).
cnf(c_70281,plain,
multiply(b1,sP9_iProver_def) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_21170,c_70222]) ).
cnf(c_70282,plain,
multiply(X0,inverse(sP1_iProver_def)) = X0,
inference(demodulation,[status(thm)],[c_38466,c_70274]) ).
cnf(c_70284,plain,
a2 = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_79,c_70274]) ).
cnf(c_70289,plain,
multiply(inverse(sP0_iProver_def),X0) = multiply(b2,X0),
inference(demodulation,[status(thm)],[c_7144,c_70274]) ).
cnf(c_70295,plain,
multiply(b2,sP0_iProver_def) = inverse(sP1_iProver_def),
inference(demodulation,[status(thm)],[c_24797,c_70289]) ).
cnf(c_70351,plain,
( sP2_iProver_def != sP2_iProver_def
| sP4_iProver_def != sP6_iProver_def
| sP8_iProver_def != sP10_iProver_def
| sP11_iProver_def != sP12_iProver_def ),
inference(demodulation,[status(thm)],[c_90,c_70284]) ).
cnf(c_70352,plain,
( sP4_iProver_def != sP6_iProver_def
| sP8_iProver_def != sP10_iProver_def
| sP11_iProver_def != sP12_iProver_def ),
inference(equality_resolution_simp,[status(thm)],[c_70351]) ).
cnf(c_70361,plain,
multiply(multiply(a1,sP1_iProver_def),sP8_iProver_def) = a1,
inference(demodulation,[status(thm)],[c_38607,c_70282]) ).
cnf(c_70362,plain,
multiply(multiply(b1,sP1_iProver_def),sP10_iProver_def) = b1,
inference(demodulation,[status(thm)],[c_38647,c_70282]) ).
cnf(c_70887,plain,
multiply(double_divide(X0,sP1_iProver_def),multiply(X1,X0)) = X1,
inference(light_normalisation,[status(thm)],[c_25360,c_70222]) ).
cnf(c_71040,plain,
multiply(double_divide(X0,X1),multiply(X1,X2)) = multiply(double_divide(X0,sP1_iProver_def),X2),
inference(superposition,[status(thm)],[c_13449,c_70887]) ).
cnf(c_72216,plain,
multiply(X0,sP1_iProver_def) = X0,
inference(light_normalisation,[status(thm)],[c_70282,c_70270]) ).
cnf(c_72234,plain,
double_divide(X0,double_divide(multiply(sP1_iProver_def,X0),X1)) = X1,
inference(superposition,[status(thm)],[c_72216,c_675]) ).
cnf(c_72254,plain,
double_divide(X0,double_divide(X0,X1)) = X1,
inference(light_normalisation,[status(thm)],[c_72234,c_70274]) ).
cnf(c_72610,plain,
multiply(a1,sP8_iProver_def) = a1,
inference(demodulation,[status(thm)],[c_70361,c_72216]) ).
cnf(c_72613,plain,
multiply(a1,sP7_iProver_def) = sP8_iProver_def,
inference(superposition,[status(thm)],[c_72610,c_40041]) ).
cnf(c_72615,plain,
sP1_iProver_def = sP8_iProver_def,
inference(light_normalisation,[status(thm)],[c_72613,c_70222]) ).
cnf(c_72619,plain,
( sP1_iProver_def != sP10_iProver_def
| sP4_iProver_def != sP6_iProver_def
| sP11_iProver_def != sP12_iProver_def ),
inference(demodulation,[status(thm)],[c_70352,c_72615]) ).
cnf(c_72686,plain,
multiply(b1,sP10_iProver_def) = b1,
inference(demodulation,[status(thm)],[c_70362,c_72216]) ).
cnf(c_72689,plain,
multiply(b1,sP9_iProver_def) = sP10_iProver_def,
inference(superposition,[status(thm)],[c_72686,c_29112]) ).
cnf(c_72691,plain,
sP1_iProver_def = sP10_iProver_def,
inference(light_normalisation,[status(thm)],[c_72689,c_70281]) ).
cnf(c_72692,plain,
( sP4_iProver_def != sP6_iProver_def
| sP11_iProver_def != sP12_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_72619,c_72691]) ).
cnf(c_74531,plain,
multiply(double_divide(sP6_iProver_def,X0),a3) = double_divide(sP5_iProver_def,X0),
inference(superposition,[status(thm)],[c_1368,c_72254]) ).
cnf(c_74565,plain,
multiply(double_divide(X0,X1),X0) = inverse(X1),
inference(superposition,[status(thm)],[c_72254,c_50]) ).
cnf(c_74566,plain,
double_divide(multiply(X0,X1),X2) = double_divide(X1,multiply(X2,X0)),
inference(superposition,[status(thm)],[c_72254,c_675]) ).
cnf(c_74577,plain,
double_divide(a4,multiply(X0,b4)) = double_divide(sP12_iProver_def,X0),
inference(superposition,[status(thm)],[c_72254,c_1363]) ).
cnf(c_74606,plain,
double_divide(c3,sP3_iProver_def) = double_divide(sP5_iProver_def,a3),
inference(demodulation,[status(thm)],[c_576,c_74531]) ).
cnf(c_74946,plain,
double_divide(sP1_iProver_def,X0) = inverse(X0),
inference(superposition,[status(thm)],[c_74565,c_72216]) ).
cnf(c_75009,plain,
inverse(double_divide(sP1_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_74946,c_72254]) ).
cnf(c_75010,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_75009,c_74946]) ).
cnf(c_75016,plain,
inverse(multiply(X0,X1)) = double_divide(X1,X0),
inference(superposition,[status(thm)],[c_50,c_75010]) ).
cnf(c_75029,plain,
multiply(inverse(X0),X0) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_75010,c_70280]) ).
cnf(c_75324,plain,
double_divide(c3,sP3_iProver_def) = inverse(sP4_iProver_def),
inference(superposition,[status(thm)],[c_81,c_75016]) ).
cnf(c_75325,plain,
double_divide(sP5_iProver_def,a3) = inverse(sP6_iProver_def),
inference(superposition,[status(thm)],[c_83,c_75016]) ).
cnf(c_75391,plain,
double_divide(X0,inverse(X0)) = inverse(sP1_iProver_def),
inference(superposition,[status(thm)],[c_75029,c_75016]) ).
cnf(c_75401,plain,
double_divide(X0,inverse(X0)) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_75391,c_70270]) ).
cnf(c_75683,plain,
double_divide(double_divide(X0,X1),multiply(X1,X0)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_50,c_75401]) ).
cnf(c_76979,plain,
double_divide(double_divide(X0,X1),sP1_iProver_def) = multiply(X1,X0),
inference(superposition,[status(thm)],[c_75683,c_72254]) ).
cnf(c_77396,plain,
inverse(sP4_iProver_def) = inverse(sP6_iProver_def),
inference(light_normalisation,[status(thm)],[c_74606,c_75324,c_75325]) ).
cnf(c_77402,plain,
inverse(inverse(sP4_iProver_def)) = sP6_iProver_def,
inference(superposition,[status(thm)],[c_77396,c_75010]) ).
cnf(c_77404,plain,
sP4_iProver_def = sP6_iProver_def,
inference(demodulation,[status(thm)],[c_77402,c_75010]) ).
cnf(c_77407,plain,
( sP4_iProver_def != sP4_iProver_def
| sP11_iProver_def != sP12_iProver_def ),
inference(demodulation,[status(thm)],[c_72692,c_77404]) ).
cnf(c_77413,plain,
sP11_iProver_def != sP12_iProver_def,
inference(equality_resolution_simp,[status(thm)],[c_77407]) ).
cnf(c_85947,plain,
double_divide(X0,double_divide(X1,multiply(multiply(X2,X3),X0))) = multiply(multiply(X3,X1),X2),
inference(demodulation,[status(thm)],[c_303,c_71040,c_74566,c_76979]) ).
cnf(c_85976,plain,
double_divide(X0,double_divide(X1,multiply(X2,X0))) = multiply(multiply(sP1_iProver_def,X1),X2),
inference(superposition,[status(thm)],[c_72216,c_85947]) ).
cnf(c_85999,plain,
double_divide(X0,double_divide(X1,multiply(sP1_iProver_def,X0))) = multiply(multiply(sP0_iProver_def,X1),b2),
inference(superposition,[status(thm)],[c_70214,c_85947]) ).
cnf(c_86060,plain,
double_divide(X0,double_divide(X1,X0)) = multiply(multiply(sP0_iProver_def,X1),b2),
inference(light_normalisation,[status(thm)],[c_85999,c_70274]) ).
cnf(c_86076,plain,
multiply(multiply(sP1_iProver_def,X0),multiply(X1,X2)) = multiply(multiply(X2,X0),X1),
inference(demodulation,[status(thm)],[c_85947,c_85976]) ).
cnf(c_86077,plain,
multiply(multiply(X0,X1),X2) = multiply(X1,multiply(X2,X0)),
inference(light_normalisation,[status(thm)],[c_86076,c_70274]) ).
cnf(c_97653,plain,
double_divide(a4,sP11_iProver_def) = double_divide(sP12_iProver_def,a4),
inference(demodulation,[status(thm)],[c_842,c_3662,c_74577]) ).
cnf(c_97661,plain,
double_divide(a4,double_divide(sP12_iProver_def,a4)) = sP11_iProver_def,
inference(superposition,[status(thm)],[c_97653,c_72254]) ).
cnf(c_100186,plain,
sP11_iProver_def = sP12_iProver_def,
inference(demodulation,[status(thm)],[c_97661,c_70270,c_70295,c_72216,c_86060,c_86077]) ).
cnf(c_100187,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_100186,c_77413]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : GRP110-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.13/0.15 % Command : run_iprover %s %d THM
% 0.15/0.36 % Computer : n023.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 00:12:39 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.22/0.51 Running first-order theorem proving
% 0.22/0.51 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 36.71/5.80 % SZS status Started for theBenchmark.p
% 36.71/5.80 % SZS status Unsatisfiable for theBenchmark.p
% 36.71/5.80
% 36.71/5.80 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 36.71/5.80
% 36.71/5.80 ------ iProver source info
% 36.71/5.80
% 36.71/5.80 git: date: 2024-05-02 19:28:25 +0000
% 36.71/5.80 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 36.71/5.80 git: non_committed_changes: false
% 36.71/5.80
% 36.71/5.80 ------ Parsing...successful
% 36.71/5.80
% 36.71/5.80
% 36.71/5.80
% 36.71/5.80 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 36.71/5.80
% 36.71/5.80 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 36.71/5.80
% 36.71/5.80 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 36.71/5.80 ------ Proving...
% 36.71/5.80 ------ Problem Properties
% 36.71/5.80
% 36.71/5.80
% 36.71/5.80 clauses 16
% 36.71/5.80 conjectures 1
% 36.71/5.80 EPR 1
% 36.71/5.80 Horn 16
% 36.71/5.80 unary 15
% 36.71/5.80 binary 0
% 36.71/5.80 lits 19
% 36.71/5.80 lits eq 19
% 36.71/5.80 fd_pure 0
% 36.71/5.80 fd_pseudo 0
% 36.71/5.80 fd_cond 0
% 36.71/5.80 fd_pseudo_cond 0
% 36.71/5.80 AC symbols 0
% 36.71/5.80
% 36.71/5.80 ------ Schedule dynamic 5 is on
% 36.71/5.80
% 36.71/5.80 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 36.71/5.80
% 36.71/5.80
% 36.71/5.80 ------
% 36.71/5.80 Current options:
% 36.71/5.80 ------
% 36.71/5.80
% 36.71/5.80
% 36.71/5.80
% 36.71/5.80
% 36.71/5.80 ------ Proving...
% 36.71/5.80
% 36.71/5.80
% 36.71/5.80 % SZS status Unsatisfiable for theBenchmark.p
% 36.71/5.80
% 36.71/5.80 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 36.71/5.80
% 36.71/5.80
%------------------------------------------------------------------------------