TSTP Solution File: GRP707-1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP707-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n002.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 02:23:31 EDT 2024
% Result : Unsatisfiable 12.07s 2.09s
% Output : CNFRefutation 12.07s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c01) ).
cnf(c_50,plain,
ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c02) ).
cnf(c_51,plain,
mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c03) ).
cnf(c_52,plain,
rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c04) ).
cnf(c_53,plain,
mult(X0,unit) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c05) ).
cnf(c_54,plain,
mult(unit,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c06) ).
cnf(c_55,plain,
mult(mult(mult(X0,X1),X1),X2) = mult(X0,mult(X1,mult(X1,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c07) ).
cnf(c_56,plain,
mult(X0,mult(X0,mult(X0,X0))) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c08) ).
cnf(c_57,plain,
mult(mult(X0,X0),X1) = mult(X1,mult(X0,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c09) ).
cnf(c_58,negated_conjecture,
mult(mult(a,b),a) != mult(a,mult(b,a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(c_93,plain,
mult(a,b) = sP0_iProver_def,
definition ).
cnf(c_94,plain,
mult(sP0_iProver_def,a) = sP1_iProver_def,
definition ).
cnf(c_95,plain,
mult(b,a) = sP2_iProver_def,
definition ).
cnf(c_96,plain,
mult(a,sP2_iProver_def) = sP3_iProver_def,
definition ).
cnf(c_97,negated_conjecture,
sP1_iProver_def != sP3_iProver_def,
inference(demodulation,[status(thm)],[c_58,c_95,c_96,c_93,c_94]) ).
cnf(c_157,plain,
ld(unit,X0) = X0,
inference(superposition,[status(thm)],[c_54,c_49]) ).
cnf(c_164,plain,
ld(a,sP0_iProver_def) = b,
inference(superposition,[status(thm)],[c_93,c_50]) ).
cnf(c_171,plain,
ld(rd(X0,X1),X0) = X1,
inference(superposition,[status(thm)],[c_51,c_50]) ).
cnf(c_175,plain,
rd(X0,ld(X1,X0)) = X1,
inference(superposition,[status(thm)],[c_49,c_52]) ).
cnf(c_187,plain,
mult(X0,mult(X0,X0)) = ld(X0,unit),
inference(superposition,[status(thm)],[c_56,c_50]) ).
cnf(c_220,plain,
rd(mult(X0,mult(X1,X1)),X0) = mult(X1,X1),
inference(superposition,[status(thm)],[c_57,c_52]) ).
cnf(c_221,plain,
ld(mult(X0,X0),mult(X1,mult(X0,X0))) = X1,
inference(superposition,[status(thm)],[c_57,c_50]) ).
cnf(c_224,plain,
ld(X0,mult(mult(X1,X1),X0)) = mult(X1,X1),
inference(superposition,[status(thm)],[c_57,c_50]) ).
cnf(c_238,plain,
mult(mult(X0,mult(X0,X0)),X1) = mult(X0,mult(X0,mult(X0,X1))),
inference(superposition,[status(thm)],[c_57,c_55]) ).
cnf(c_240,plain,
mult(X0,mult(ld(X0,X1),mult(ld(X0,X1),X2))) = mult(mult(X1,ld(X0,X1)),X2),
inference(superposition,[status(thm)],[c_49,c_55]) ).
cnf(c_243,plain,
mult(unit,mult(X0,mult(X0,X1))) = mult(mult(X0,X0),X1),
inference(superposition,[status(thm)],[c_54,c_55]) ).
cnf(c_245,plain,
mult(mult(mult(X0,mult(X1,X1)),X0),X2) = mult(mult(X1,X1),mult(X0,mult(X0,X2))),
inference(superposition,[status(thm)],[c_57,c_55]) ).
cnf(c_247,plain,
mult(a,mult(b,mult(b,X0))) = mult(mult(sP0_iProver_def,b),X0),
inference(superposition,[status(thm)],[c_93,c_55]) ).
cnf(c_248,plain,
mult(b,mult(a,mult(a,X0))) = mult(mult(sP2_iProver_def,a),X0),
inference(superposition,[status(thm)],[c_95,c_55]) ).
cnf(c_249,plain,
mult(sP0_iProver_def,mult(a,mult(a,X0))) = mult(mult(sP1_iProver_def,a),X0),
inference(superposition,[status(thm)],[c_94,c_55]) ).
cnf(c_250,plain,
mult(a,mult(sP2_iProver_def,mult(sP2_iProver_def,X0))) = mult(mult(sP3_iProver_def,sP2_iProver_def),X0),
inference(superposition,[status(thm)],[c_96,c_55]) ).
cnf(c_251,plain,
mult(X0,mult(X1,mult(X1,ld(mult(mult(X0,X1),X1),X2)))) = X2,
inference(superposition,[status(thm)],[c_55,c_49]) ).
cnf(c_255,plain,
mult(X0,mult(X1,mult(X1,unit))) = mult(mult(X0,X1),X1),
inference(superposition,[status(thm)],[c_55,c_53]) ).
cnf(c_259,plain,
mult(mult(X0,X0),mult(mult(X1,X2),X2)) = mult(X1,mult(X2,mult(X2,mult(X0,X0)))),
inference(superposition,[status(thm)],[c_55,c_57]) ).
cnf(c_261,plain,
mult(X0,mult(X0,mult(X0,X1))) = mult(ld(X0,unit),X1),
inference(light_normalisation,[status(thm)],[c_238,c_187]) ).
cnf(c_329,plain,
mult(mult(mult(X0,X1),X1),mult(X0,mult(X1,mult(X1,mult(mult(X0,X1),X1))))) = ld(mult(mult(X0,X1),X1),unit),
inference(superposition,[status(thm)],[c_55,c_187]) ).
cnf(c_332,plain,
ld(X0,ld(X0,unit)) = mult(X0,X0),
inference(superposition,[status(thm)],[c_187,c_50]) ).
cnf(c_363,plain,
rd(ld(X0,unit),X0) = mult(X0,X0),
inference(superposition,[status(thm)],[c_187,c_220]) ).
cnf(c_384,plain,
ld(mult(X0,X0),ld(X0,unit)) = X0,
inference(superposition,[status(thm)],[c_363,c_171]) ).
cnf(c_418,plain,
ld(mult(X0,X0),X1) = rd(X1,mult(X0,X0)),
inference(superposition,[status(thm)],[c_51,c_221]) ).
cnf(c_445,plain,
ld(ld(mult(X0,X0),X1),X1) = mult(X0,X0),
inference(superposition,[status(thm)],[c_49,c_224]) ).
cnf(c_452,plain,
ld(X0,mult(mult(X1,mult(X2,mult(X2,mult(mult(X1,X2),X2)))),X0)) = mult(X1,mult(X2,mult(X2,mult(mult(X1,X2),X2)))),
inference(superposition,[status(thm)],[c_55,c_224]) ).
cnf(c_527,plain,
ld(ld(mult(X0,mult(X1,mult(X1,mult(mult(X0,X1),X1)))),X2),X2) = mult(X0,mult(X1,mult(X1,mult(mult(X0,X1),X1)))),
inference(superposition,[status(thm)],[c_55,c_445]) ).
cnf(c_571,plain,
mult(mult(X0,X0),X1) = mult(X0,mult(X0,X1)),
inference(demodulation,[status(thm)],[c_243,c_54]) ).
cnf(c_572,plain,
ld(X0,mult(X1,mult(X1,X0))) = mult(X1,X1),
inference(demodulation,[status(thm)],[c_224,c_571]) ).
cnf(c_581,plain,
mult(mult(X0,mult(X1,mult(X1,mult(mult(X0,X1),X1)))),X2) = mult(mult(mult(X0,X1),X1),mult(mult(mult(X0,X1),X1),X2)),
inference(superposition,[status(thm)],[c_55,c_571]) ).
cnf(c_583,plain,
mult(X0,mult(X0,ld(mult(X0,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_571,c_49]) ).
cnf(c_585,plain,
rd(mult(X0,mult(X0,X1)),X1) = mult(X0,X0),
inference(superposition,[status(thm)],[c_571,c_52]) ).
cnf(c_589,plain,
mult(mult(X0,mult(X0,mult(X0,X0))),X1) = mult(mult(X0,X0),mult(mult(X0,X0),X1)),
inference(superposition,[status(thm)],[c_571,c_571]) ).
cnf(c_598,plain,
mult(X0,mult(X0,X1)) = mult(X1,mult(X0,X0)),
inference(superposition,[status(thm)],[c_571,c_57]) ).
cnf(c_613,plain,
mult(mult(X0,X0),mult(X0,mult(X0,X1))) = mult(mult(X0,ld(X0,unit)),X1),
inference(light_normalisation,[status(thm)],[c_589,c_187,c_571]) ).
cnf(c_615,plain,
mult(mult(X0,mult(X1,mult(X1,mult(mult(X0,X1),X1)))),X2) = mult(mult(mult(X0,X1),X1),mult(X0,mult(X1,mult(X1,X2)))),
inference(light_normalisation,[status(thm)],[c_581,c_55]) ).
cnf(c_667,plain,
ld(ld(X0,X1),mult(X0,X1)) = mult(X0,X0),
inference(superposition,[status(thm)],[c_49,c_572]) ).
cnf(c_676,plain,
ld(b,mult(a,sP0_iProver_def)) = mult(a,a),
inference(superposition,[status(thm)],[c_93,c_572]) ).
cnf(c_677,plain,
ld(a,mult(b,sP2_iProver_def)) = mult(b,b),
inference(superposition,[status(thm)],[c_95,c_572]) ).
cnf(c_678,plain,
ld(a,mult(sP0_iProver_def,sP1_iProver_def)) = mult(sP0_iProver_def,sP0_iProver_def),
inference(superposition,[status(thm)],[c_94,c_572]) ).
cnf(c_679,plain,
ld(sP2_iProver_def,mult(a,sP3_iProver_def)) = mult(a,a),
inference(superposition,[status(thm)],[c_96,c_572]) ).
cnf(c_934,plain,
mult(b,mult(a,a)) = mult(a,sP0_iProver_def),
inference(superposition,[status(thm)],[c_676,c_49]) ).
cnf(c_936,plain,
mult(a,mult(b,b)) = mult(b,sP2_iProver_def),
inference(superposition,[status(thm)],[c_677,c_49]) ).
cnf(c_967,plain,
rd(mult(sP0_iProver_def,sP1_iProver_def),mult(sP0_iProver_def,sP0_iProver_def)) = a,
inference(superposition,[status(thm)],[c_678,c_175]) ).
cnf(c_968,plain,
mult(sP2_iProver_def,mult(a,a)) = mult(a,sP3_iProver_def),
inference(superposition,[status(thm)],[c_679,c_49]) ).
cnf(c_983,plain,
ld(mult(sP0_iProver_def,sP0_iProver_def),mult(sP0_iProver_def,sP1_iProver_def)) = a,
inference(demodulation,[status(thm)],[c_967,c_418]) ).
cnf(c_984,plain,
mult(mult(sP0_iProver_def,sP0_iProver_def),a) = mult(sP0_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_983,c_49]) ).
cnf(c_1045,plain,
mult(mult(X0,X0),mult(X0,mult(X0,X1))) = mult(mult(ld(X0,unit),X0),X1),
inference(superposition,[status(thm)],[c_384,c_240]) ).
cnf(c_1068,plain,
mult(mult(ld(X0,unit),X0),X1) = mult(mult(X0,ld(X0,unit)),X1),
inference(light_normalisation,[status(thm)],[c_1045,c_613]) ).
cnf(c_1216,plain,
mult(X0,ld(mult(X0,X0),X1)) = ld(X0,X1),
inference(superposition,[status(thm)],[c_583,c_50]) ).
cnf(c_1299,plain,
rd(mult(X0,X1),ld(X0,X1)) = mult(X0,X0),
inference(superposition,[status(thm)],[c_49,c_585]) ).
cnf(c_1466,plain,
mult(mult(X0,X0),mult(X0,mult(X0,X1))) = mult(X1,mult(mult(X0,X0),mult(X0,X0))),
inference(superposition,[status(thm)],[c_571,c_598]) ).
cnf(c_1489,plain,
rd(mult(X0,mult(X1,X1)),mult(X1,X0)) = X1,
inference(superposition,[status(thm)],[c_598,c_52]) ).
cnf(c_1546,plain,
mult(X0,mult(mult(X1,X1),mult(X1,X1))) = mult(mult(X1,ld(X1,unit)),X0),
inference(light_normalisation,[status(thm)],[c_1466,c_613]) ).
cnf(c_1651,plain,
ld(ld(X0,ld(X0,X1)),X1) = mult(X0,X0),
inference(superposition,[status(thm)],[c_49,c_667]) ).
cnf(c_1653,plain,
ld(ld(X0,unit),X0) = mult(X0,X0),
inference(superposition,[status(thm)],[c_53,c_667]) ).
cnf(c_1662,plain,
ld(ld(b,a),sP2_iProver_def) = mult(b,b),
inference(superposition,[status(thm)],[c_95,c_667]) ).
cnf(c_1912,plain,
mult(ld(X0,unit),mult(X0,X0)) = X0,
inference(superposition,[status(thm)],[c_1653,c_49]) ).
cnf(c_2382,plain,
mult(mult(mult(X0,mult(X1,X1)),X0),X2) = mult(X1,mult(X1,mult(X0,mult(X0,X2)))),
inference(demodulation,[status(thm)],[c_245,c_571]) ).
cnf(c_2401,plain,
mult(X0,mult(X0,mult(X0,mult(X0,X1)))) = mult(mult(ld(X0,unit),X0),X1),
inference(superposition,[status(thm)],[c_187,c_2382]) ).
cnf(c_2459,plain,
mult(mult(X0,ld(X0,unit)),X1) = mult(X0,mult(ld(X0,unit),X1)),
inference(light_normalisation,[status(thm)],[c_2401,c_261,c_1068]) ).
cnf(c_2693,plain,
ld(mult(X0,X0),X1) = ld(X0,ld(X0,X1)),
inference(superposition,[status(thm)],[c_1216,c_50]) ).
cnf(c_2717,plain,
ld(X0,ld(X0,X1)) = rd(X1,mult(X0,X0)),
inference(demodulation,[status(thm)],[c_418,c_2693]) ).
cnf(c_2787,plain,
mult(mult(X0,X0),ld(X0,X1)) = mult(X0,X1),
inference(superposition,[status(thm)],[c_1299,c_51]) ).
cnf(c_3139,plain,
ld(mult(X0,mult(X1,mult(X1,mult(mult(X0,X1),X1)))),X2) = ld(mult(mult(X0,X1),X1),ld(mult(mult(X0,X1),X1),X2)),
inference(superposition,[status(thm)],[c_55,c_2693]) ).
cnf(c_3387,plain,
mult(mult(sP0_iProver_def,b),b) = mult(a,ld(b,unit)),
inference(superposition,[status(thm)],[c_187,c_247]) ).
cnf(c_3390,plain,
mult(mult(sP0_iProver_def,b),unit) = mult(a,mult(b,b)),
inference(superposition,[status(thm)],[c_53,c_247]) ).
cnf(c_3404,plain,
mult(mult(sP0_iProver_def,b),unit) = mult(b,sP2_iProver_def),
inference(light_normalisation,[status(thm)],[c_3390,c_936]) ).
cnf(c_3418,plain,
mult(b,sP2_iProver_def) = mult(sP0_iProver_def,b),
inference(demodulation,[status(thm)],[c_3404,c_53]) ).
cnf(c_3424,plain,
mult(b,mult(sP0_iProver_def,b)) = mult(sP2_iProver_def,mult(b,b)),
inference(superposition,[status(thm)],[c_3418,c_598]) ).
cnf(c_3428,plain,
ld(b,mult(sP0_iProver_def,b)) = sP2_iProver_def,
inference(superposition,[status(thm)],[c_3418,c_50]) ).
cnf(c_3745,plain,
mult(mult(sP2_iProver_def,a),a) = mult(b,ld(a,unit)),
inference(superposition,[status(thm)],[c_187,c_248]) ).
cnf(c_3748,plain,
mult(mult(sP2_iProver_def,a),unit) = mult(b,mult(a,a)),
inference(superposition,[status(thm)],[c_53,c_248]) ).
cnf(c_3766,plain,
mult(mult(sP2_iProver_def,a),unit) = mult(a,sP0_iProver_def),
inference(light_normalisation,[status(thm)],[c_3748,c_934]) ).
cnf(c_3800,plain,
mult(a,sP0_iProver_def) = mult(sP2_iProver_def,a),
inference(demodulation,[status(thm)],[c_3766,c_53]) ).
cnf(c_3899,plain,
mult(mult(sP1_iProver_def,a),unit) = mult(sP0_iProver_def,mult(a,a)),
inference(superposition,[status(thm)],[c_53,c_249]) ).
cnf(c_3903,plain,
mult(mult(sP1_iProver_def,a),sP2_iProver_def) = mult(sP0_iProver_def,mult(a,sP3_iProver_def)),
inference(superposition,[status(thm)],[c_96,c_249]) ).
cnf(c_4105,plain,
mult(sP0_iProver_def,mult(a,a)) = mult(sP1_iProver_def,a),
inference(demodulation,[status(thm)],[c_3899,c_53]) ).
cnf(c_4114,plain,
rd(mult(sP1_iProver_def,a),mult(a,sP0_iProver_def)) = a,
inference(superposition,[status(thm)],[c_4105,c_1489]) ).
cnf(c_4118,plain,
rd(mult(sP1_iProver_def,a),mult(sP2_iProver_def,a)) = a,
inference(light_normalisation,[status(thm)],[c_4114,c_3800]) ).
cnf(c_4174,plain,
mult(a,mult(sP2_iProver_def,a)) = mult(sP1_iProver_def,a),
inference(superposition,[status(thm)],[c_4118,c_51]) ).
cnf(c_4204,plain,
ld(mult(sP2_iProver_def,a),mult(b,ld(a,unit))) = a,
inference(superposition,[status(thm)],[c_3745,c_50]) ).
cnf(c_4239,plain,
mult(mult(sP3_iProver_def,sP2_iProver_def),unit) = mult(a,mult(sP2_iProver_def,sP2_iProver_def)),
inference(superposition,[status(thm)],[c_53,c_250]) ).
cnf(c_4310,plain,
ld(mult(sP1_iProver_def,a),mult(sP0_iProver_def,mult(a,sP3_iProver_def))) = sP2_iProver_def,
inference(superposition,[status(thm)],[c_3903,c_50]) ).
cnf(c_4941,plain,
mult(sP2_iProver_def,mult(sP2_iProver_def,a)) = mult(sP3_iProver_def,sP2_iProver_def),
inference(demodulation,[status(thm)],[c_4239,c_53,c_598]) ).
cnf(c_4948,plain,
rd(mult(sP3_iProver_def,sP2_iProver_def),a) = mult(sP2_iProver_def,sP2_iProver_def),
inference(superposition,[status(thm)],[c_4941,c_585]) ).
cnf(c_5079,plain,
mult(X0,mult(mult(X0,X0),mult(mult(X0,X0),ld(mult(ld(X0,unit),mult(X0,X0)),X1)))) = X1,
inference(superposition,[status(thm)],[c_187,c_251]) ).
cnf(c_5167,plain,
mult(X0,mult(mult(X0,X0),mult(X0,X1))) = X1,
inference(light_normalisation,[status(thm)],[c_5079,c_1912,c_2787]) ).
cnf(c_5530,plain,
mult(X0,mult(ld(X0,unit),X1)) = X1,
inference(demodulation,[status(thm)],[c_5167,c_261,c_571]) ).
cnf(c_5537,plain,
ld(ld(X0,unit),X1) = mult(X0,X1),
inference(superposition,[status(thm)],[c_49,c_5530]) ).
cnf(c_5558,plain,
mult(ld(X0,unit),X1) = ld(X0,X1),
inference(superposition,[status(thm)],[c_5530,c_50]) ).
cnf(c_6197,plain,
mult(ld(X0,ld(X0,unit)),X1) = ld(mult(X0,X0),X1),
inference(superposition,[status(thm)],[c_1651,c_5537]) ).
cnf(c_6207,plain,
rd(X0,mult(X1,X0)) = ld(X1,unit),
inference(superposition,[status(thm)],[c_5537,c_175]) ).
cnf(c_6228,plain,
ld(X0,ld(X0,X1)) = mult(X0,mult(X0,X1)),
inference(light_normalisation,[status(thm)],[c_6197,c_332,c_571,c_2693]) ).
cnf(c_6238,plain,
mult(X0,mult(X0,X1)) = rd(X1,mult(X0,X0)),
inference(demodulation,[status(thm)],[c_2717,c_6228]) ).
cnf(c_6240,plain,
ld(mult(X0,mult(X0,X1)),X1) = mult(X0,X0),
inference(demodulation,[status(thm)],[c_1651,c_6228]) ).
cnf(c_6316,plain,
mult(X0,mult(X0,ld(X1,unit))) = ld(X1,mult(X0,X0)),
inference(superposition,[status(thm)],[c_5558,c_598]) ).
cnf(c_6581,plain,
ld(rd(X0,X1),unit) = rd(X1,X0),
inference(superposition,[status(thm)],[c_51,c_6207]) ).
cnf(c_6591,plain,
ld(b,unit) = rd(a,sP2_iProver_def),
inference(superposition,[status(thm)],[c_95,c_6207]) ).
cnf(c_7475,plain,
mult(rd(X0,X1),rd(X1,X0)) = unit,
inference(superposition,[status(thm)],[c_6581,c_49]) ).
cnf(c_7762,plain,
mult(mult(X0,X1),X1) = mult(X0,mult(X1,X1)),
inference(demodulation,[status(thm)],[c_255,c_53]) ).
cnf(c_7764,plain,
mult(mult(X0,mult(X1,X1)),X2) = mult(X0,mult(X1,mult(X1,X2))),
inference(demodulation,[status(thm)],[c_55,c_7762]) ).
cnf(c_7765,plain,
mult(a,ld(b,unit)) = mult(sP0_iProver_def,mult(b,b)),
inference(demodulation,[status(thm)],[c_3387,c_7762]) ).
cnf(c_7767,plain,
mult(b,ld(a,unit)) = mult(sP2_iProver_def,mult(a,a)),
inference(demodulation,[status(thm)],[c_3745,c_7762]) ).
cnf(c_7769,plain,
mult(b,ld(a,unit)) = mult(a,sP3_iProver_def),
inference(light_normalisation,[status(thm)],[c_7767,c_968]) ).
cnf(c_7772,plain,
ld(mult(sP2_iProver_def,a),mult(a,sP3_iProver_def)) = a,
inference(demodulation,[status(thm)],[c_4204,c_7769]) ).
cnf(c_7821,plain,
rd(mult(X0,mult(X1,X1)),X1) = mult(X0,X1),
inference(superposition,[status(thm)],[c_7762,c_52]) ).
cnf(c_7827,plain,
mult(X0,mult(mult(X1,X1),mult(X1,X1))) = mult(X1,mult(X1,mult(X0,mult(X1,X1)))),
inference(superposition,[status(thm)],[c_7762,c_598]) ).
cnf(c_7853,plain,
mult(X0,mult(X0,mult(X1,mult(X0,X0)))) = mult(mult(X0,ld(X0,unit)),X1),
inference(light_normalisation,[status(thm)],[c_7827,c_1546]) ).
cnf(c_7854,plain,
mult(X0,mult(X0,mult(X1,mult(X0,X0)))) = X1,
inference(light_normalisation,[status(thm)],[c_7853,c_49,c_2459,c_5558]) ).
cnf(c_8018,plain,
mult(mult(sP2_iProver_def,a),a) = mult(a,sP3_iProver_def),
inference(superposition,[status(thm)],[c_7772,c_49]) ).
cnf(c_8456,plain,
mult(rd(X0,mult(X1,X1)),X1) = rd(X0,X1),
inference(superposition,[status(thm)],[c_51,c_7821]) ).
cnf(c_8710,plain,
mult(mult(X0,mult(X0,X1)),X0) = rd(X1,X0),
inference(demodulation,[status(thm)],[c_8456,c_6238]) ).
cnf(c_8720,plain,
mult(mult(sP3_iProver_def,sP2_iProver_def),sP2_iProver_def) = rd(a,sP2_iProver_def),
inference(superposition,[status(thm)],[c_4941,c_8710]) ).
cnf(c_8721,plain,
mult(mult(X0,X1),X0) = rd(ld(X0,X1),X0),
inference(superposition,[status(thm)],[c_49,c_8710]) ).
cnf(c_8731,plain,
mult(mult(a,sP0_iProver_def),a) = rd(b,a),
inference(superposition,[status(thm)],[c_93,c_8710]) ).
cnf(c_8732,plain,
mult(mult(b,sP2_iProver_def),b) = rd(a,b),
inference(superposition,[status(thm)],[c_95,c_8710]) ).
cnf(c_8781,plain,
ld(mult(X0,mult(X0,X1)),unit) = rd(X0,rd(X1,X0)),
inference(superposition,[status(thm)],[c_8710,c_6207]) ).
cnf(c_8787,plain,
mult(mult(sP0_iProver_def,b),b) = rd(a,b),
inference(light_normalisation,[status(thm)],[c_8732,c_3418]) ).
cnf(c_8788,plain,
mult(a,sP3_iProver_def) = rd(b,a),
inference(light_normalisation,[status(thm)],[c_8731,c_3800,c_8018]) ).
cnf(c_8790,plain,
mult(mult(sP3_iProver_def,sP2_iProver_def),sP2_iProver_def) = ld(b,unit),
inference(light_normalisation,[status(thm)],[c_8720,c_6591]) ).
cnf(c_9055,plain,
mult(rd(a,b),mult(a,sP3_iProver_def)) = unit,
inference(superposition,[status(thm)],[c_8788,c_7475]) ).
cnf(c_9112,plain,
mult(sP0_iProver_def,mult(b,b)) = rd(a,b),
inference(demodulation,[status(thm)],[c_8787,c_7762]) ).
cnf(c_9194,plain,
mult(sP2_iProver_def,mult(sP2_iProver_def,sP3_iProver_def)) = ld(b,unit),
inference(demodulation,[status(thm)],[c_8790,c_598,c_7762]) ).
cnf(c_9206,plain,
rd(ld(b,unit),sP3_iProver_def) = mult(sP2_iProver_def,sP2_iProver_def),
inference(superposition,[status(thm)],[c_9194,c_585]) ).
cnf(c_9208,plain,
mult(mult(sP3_iProver_def,sP2_iProver_def),sP3_iProver_def) = mult(a,ld(b,unit)),
inference(superposition,[status(thm)],[c_9194,c_250]) ).
cnf(c_9212,plain,
ld(sP3_iProver_def,ld(b,unit)) = mult(sP2_iProver_def,sP2_iProver_def),
inference(superposition,[status(thm)],[c_9194,c_572]) ).
cnf(c_9214,plain,
mult(mult(sP3_iProver_def,sP2_iProver_def),sP3_iProver_def) = rd(a,b),
inference(light_normalisation,[status(thm)],[c_9208,c_7765,c_9112]) ).
cnf(c_9341,plain,
ld(rd(a,b),unit) = mult(a,sP3_iProver_def),
inference(superposition,[status(thm)],[c_9055,c_50]) ).
cnf(c_9522,plain,
mult(mult(sP2_iProver_def,sP2_iProver_def),sP3_iProver_def) = ld(b,unit),
inference(superposition,[status(thm)],[c_9206,c_51]) ).
cnf(c_9529,plain,
rd(ld(b,unit),mult(sP2_iProver_def,sP2_iProver_def)) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_9212,c_175]) ).
cnf(c_9644,plain,
rd(rd(a,b),sP3_iProver_def) = mult(sP3_iProver_def,sP2_iProver_def),
inference(superposition,[status(thm)],[c_9214,c_52]) ).
cnf(c_9702,plain,
mult(X0,mult(X0,mult(X1,mult(X2,X2)))) = mult(X1,mult(X2,mult(X2,mult(X0,X0)))),
inference(demodulation,[status(thm)],[c_259,c_571,c_7762]) ).
cnf(c_10443,plain,
ld(b,mult(sP2_iProver_def,sP2_iProver_def)) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_9529,c_6316,c_6238]) ).
cnf(c_10448,plain,
mult(b,sP3_iProver_def) = mult(sP2_iProver_def,sP2_iProver_def),
inference(superposition,[status(thm)],[c_10443,c_49]) ).
cnf(c_10486,plain,
mult(mult(sP2_iProver_def,sP2_iProver_def),sP3_iProver_def) = mult(b,mult(sP3_iProver_def,sP3_iProver_def)),
inference(superposition,[status(thm)],[c_10448,c_7762]) ).
cnf(c_10498,plain,
mult(b,mult(sP3_iProver_def,sP3_iProver_def)) = ld(b,unit),
inference(light_normalisation,[status(thm)],[c_10486,c_9522]) ).
cnf(c_10510,plain,
mult(X0,mult(X0,mult(X0,X1))) = ld(X0,X1),
inference(light_normalisation,[status(thm)],[c_261,c_5558]) ).
cnf(c_10521,plain,
mult(X0,mult(X1,mult(X0,X0))) = ld(X0,X1),
inference(superposition,[status(thm)],[c_598,c_10510]) ).
cnf(c_10539,plain,
mult(b,mult(b,sP2_iProver_def)) = ld(b,a),
inference(superposition,[status(thm)],[c_95,c_10510]) ).
cnf(c_10555,plain,
mult(a,mult(a,mult(sP2_iProver_def,a))) = ld(a,sP0_iProver_def),
inference(superposition,[status(thm)],[c_3800,c_10510]) ).
cnf(c_10617,plain,
mult(X0,mult(X1,mult(X1,mult(X0,X0)))) = ld(X0,mult(X1,X1)),
inference(superposition,[status(thm)],[c_10510,c_9702]) ).
cnf(c_10620,plain,
mult(sP2_iProver_def,mult(b,b)) = ld(b,a),
inference(light_normalisation,[status(thm)],[c_10539,c_3418,c_3424]) ).
cnf(c_10627,plain,
mult(a,mult(sP1_iProver_def,a)) = b,
inference(light_normalisation,[status(thm)],[c_10555,c_164,c_4174]) ).
cnf(c_10671,plain,
mult(b,mult(sP0_iProver_def,b)) = ld(b,a),
inference(demodulation,[status(thm)],[c_3424,c_10620]) ).
cnf(c_10976,plain,
mult(mult(sP1_iProver_def,a),mult(sP1_iProver_def,a)) = mult(sP0_iProver_def,mult(a,b)),
inference(superposition,[status(thm)],[c_10627,c_249]) ).
cnf(c_10989,plain,
mult(mult(sP1_iProver_def,a),mult(sP1_iProver_def,a)) = mult(sP0_iProver_def,sP0_iProver_def),
inference(light_normalisation,[status(thm)],[c_10976,c_93]) ).
cnf(c_11034,plain,
mult(sP3_iProver_def,mult(sP3_iProver_def,b)) = ld(b,unit),
inference(demodulation,[status(thm)],[c_10498,c_598]) ).
cnf(c_11048,plain,
rd(ld(b,unit),b) = mult(sP3_iProver_def,sP3_iProver_def),
inference(superposition,[status(thm)],[c_11034,c_585]) ).
cnf(c_11125,plain,
mult(mult(X0,mult(X1,X1)),mult(X0,mult(X1,mult(X1,mult(X0,mult(X1,X1)))))) = ld(mult(X0,mult(X1,X1)),unit),
inference(light_normalisation,[status(thm)],[c_329,c_7762]) ).
cnf(c_11126,plain,
ld(mult(X0,mult(X1,X1)),unit) = ld(X0,mult(X1,X1)),
inference(demodulation,[status(thm)],[c_11125,c_7764,c_7854,c_10617]) ).
cnf(c_11134,plain,
ld(mult(mult(X0,X0),X1),unit) = ld(X1,mult(X0,X0)),
inference(superposition,[status(thm)],[c_57,c_11126]) ).
cnf(c_11140,plain,
ld(rd(a,b),unit) = ld(sP0_iProver_def,mult(b,b)),
inference(superposition,[status(thm)],[c_9112,c_11126]) ).
cnf(c_11157,plain,
ld(mult(X0,mult(X1,X1)),X2) = mult(ld(X0,mult(X1,X1)),X2),
inference(superposition,[status(thm)],[c_11126,c_5558]) ).
cnf(c_11162,plain,
ld(sP0_iProver_def,mult(b,b)) = mult(a,sP3_iProver_def),
inference(light_normalisation,[status(thm)],[c_11140,c_9341]) ).
cnf(c_11167,plain,
ld(X0,mult(X1,X1)) = rd(X1,rd(X0,X1)),
inference(light_normalisation,[status(thm)],[c_11134,c_571,c_8781]) ).
cnf(c_12004,plain,
mult(b,b) = mult(sP3_iProver_def,sP3_iProver_def),
inference(demodulation,[status(thm)],[c_11048,c_53,c_8721]) ).
cnf(c_12011,plain,
mult(sP0_iProver_def,mult(sP3_iProver_def,sP3_iProver_def)) = rd(a,b),
inference(demodulation,[status(thm)],[c_9112,c_12004]) ).
cnf(c_12016,plain,
ld(ld(b,a),sP2_iProver_def) = mult(sP3_iProver_def,sP3_iProver_def),
inference(demodulation,[status(thm)],[c_1662,c_12004]) ).
cnf(c_12364,plain,
ld(sP0_iProver_def,mult(sP3_iProver_def,sP3_iProver_def)) = mult(a,sP3_iProver_def),
inference(light_normalisation,[status(thm)],[c_11162,c_12004]) ).
cnf(c_12369,plain,
mult(sP0_iProver_def,mult(a,sP3_iProver_def)) = mult(sP3_iProver_def,sP3_iProver_def),
inference(superposition,[status(thm)],[c_12364,c_49]) ).
cnf(c_12373,plain,
ld(mult(sP1_iProver_def,a),mult(sP3_iProver_def,sP3_iProver_def)) = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_4310,c_12369]) ).
cnf(c_13163,plain,
rd(mult(sP3_iProver_def,sP3_iProver_def),sP2_iProver_def) = mult(sP1_iProver_def,a),
inference(superposition,[status(thm)],[c_12373,c_175]) ).
cnf(c_13198,plain,
rd(rd(a,b),sP3_iProver_def) = mult(sP0_iProver_def,sP3_iProver_def),
inference(superposition,[status(thm)],[c_12011,c_7821]) ).
cnf(c_13211,plain,
mult(sP0_iProver_def,sP3_iProver_def) = mult(sP3_iProver_def,sP2_iProver_def),
inference(demodulation,[status(thm)],[c_9644,c_13198]) ).
cnf(c_13219,plain,
rd(mult(sP0_iProver_def,sP3_iProver_def),a) = mult(sP2_iProver_def,sP2_iProver_def),
inference(demodulation,[status(thm)],[c_4948,c_13211]) ).
cnf(c_13474,plain,
rd(sP2_iProver_def,mult(sP3_iProver_def,sP3_iProver_def)) = ld(b,a),
inference(superposition,[status(thm)],[c_12016,c_175]) ).
cnf(c_13868,plain,
mult(rd(sP2_iProver_def,mult(sP3_iProver_def,sP3_iProver_def)),mult(sP1_iProver_def,a)) = unit,
inference(superposition,[status(thm)],[c_13163,c_7475]) ).
cnf(c_13869,plain,
mult(ld(b,a),mult(sP1_iProver_def,a)) = unit,
inference(light_normalisation,[status(thm)],[c_13868,c_13474]) ).
cnf(c_14379,plain,
ld(ld(b,a),unit) = mult(sP1_iProver_def,a),
inference(superposition,[status(thm)],[c_13869,c_50]) ).
cnf(c_14493,plain,
ld(X0,mult(X1,mult(X2,mult(X2,mult(X1,mult(X2,mult(X2,X0))))))) = mult(X1,X1),
inference(demodulation,[status(thm)],[c_452,c_49,c_615,c_7762,c_7764,c_10521]) ).
cnf(c_14632,plain,
mult(X0,mult(X1,mult(X1,mult(X0,mult(X1,mult(X1,unit)))))) = mult(X0,X0),
inference(superposition,[status(thm)],[c_14493,c_157]) ).
cnf(c_14636,plain,
mult(X0,mult(X1,mult(X1,mult(X0,mult(X1,X1))))) = mult(X0,X0),
inference(light_normalisation,[status(thm)],[c_14632,c_255,c_7762]) ).
cnf(c_15244,plain,
ld(ld(b,a),X0) = mult(mult(sP1_iProver_def,a),X0),
inference(superposition,[status(thm)],[c_14379,c_5558]) ).
cnf(c_15365,plain,
mult(mult(b,mult(sP0_iProver_def,b)),b) = rd(sP2_iProver_def,b),
inference(superposition,[status(thm)],[c_3428,c_8721]) ).
cnf(c_15425,plain,
mult(ld(b,a),b) = rd(sP2_iProver_def,b),
inference(light_normalisation,[status(thm)],[c_15365,c_10671]) ).
cnf(c_15834,plain,
ld(ld(b,a),rd(sP2_iProver_def,b)) = b,
inference(superposition,[status(thm)],[c_15425,c_50]) ).
cnf(c_16000,plain,
mult(mult(sP1_iProver_def,a),rd(sP2_iProver_def,b)) = b,
inference(demodulation,[status(thm)],[c_15834,c_15244]) ).
cnf(c_16008,plain,
rd(b,rd(sP2_iProver_def,b)) = mult(sP1_iProver_def,a),
inference(superposition,[status(thm)],[c_16000,c_52]) ).
cnf(c_16638,plain,
ld(ld(mult(X0,mult(X1,X1)),mult(ld(X0,mult(X1,X1)),X2)),X2) = mult(X0,X0),
inference(light_normalisation,[status(thm)],[c_527,c_3139,c_7762,c_11157,c_14636]) ).
cnf(c_16639,plain,
mult(ld(X0,mult(X1,X1)),ld(X0,mult(X1,X1))) = mult(X0,X0),
inference(demodulation,[status(thm)],[c_16638,c_6240,c_11157]) ).
cnf(c_16821,plain,
ld(sP2_iProver_def,mult(sP3_iProver_def,sP3_iProver_def)) = mult(sP1_iProver_def,a),
inference(demodulation,[status(thm)],[c_16008,c_11167,c_12004]) ).
cnf(c_16829,plain,
mult(mult(sP1_iProver_def,a),mult(sP1_iProver_def,a)) = mult(sP2_iProver_def,sP2_iProver_def),
inference(superposition,[status(thm)],[c_16821,c_16639]) ).
cnf(c_16830,plain,
mult(sP0_iProver_def,sP0_iProver_def) = mult(sP2_iProver_def,sP2_iProver_def),
inference(light_normalisation,[status(thm)],[c_16829,c_10989]) ).
cnf(c_16834,plain,
rd(mult(sP0_iProver_def,sP3_iProver_def),a) = mult(sP0_iProver_def,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_13219,c_16830]) ).
cnf(c_17442,plain,
mult(mult(sP0_iProver_def,sP0_iProver_def),a) = mult(sP0_iProver_def,sP3_iProver_def),
inference(superposition,[status(thm)],[c_16834,c_51]) ).
cnf(c_17445,plain,
mult(sP0_iProver_def,sP1_iProver_def) = mult(sP0_iProver_def,sP3_iProver_def),
inference(light_normalisation,[status(thm)],[c_17442,c_984]) ).
cnf(c_17472,plain,
ld(sP0_iProver_def,mult(sP0_iProver_def,sP1_iProver_def)) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_17445,c_50]) ).
cnf(c_17592,plain,
sP1_iProver_def = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_17472,c_50]) ).
cnf(c_17593,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_17592,c_97]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GRP707-1 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.11 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n002.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Fri May 3 00:18:42 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.42 Running UEQ theorem proving
% 0.16/0.42 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 12.07/2.09 % SZS status Started for theBenchmark.p
% 12.07/2.09 % SZS status Unsatisfiable for theBenchmark.p
% 12.07/2.09
% 12.07/2.09 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 12.07/2.09
% 12.07/2.09 ------ iProver source info
% 12.07/2.09
% 12.07/2.09 git: date: 2024-05-02 19:28:25 +0000
% 12.07/2.09 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 12.07/2.09 git: non_committed_changes: false
% 12.07/2.09
% 12.07/2.09 ------ Parsing...successful
% 12.07/2.09
% 12.07/2.09
% 12.07/2.09
% 12.07/2.09 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 12.07/2.09
% 12.07/2.09 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 12.07/2.09
% 12.07/2.09 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 12.07/2.09 ------ Proving...
% 12.07/2.09 ------ Problem Properties
% 12.07/2.09
% 12.07/2.09
% 12.07/2.09 clauses 14
% 12.07/2.09 conjectures 1
% 12.07/2.09 EPR 1
% 12.07/2.09 Horn 14
% 12.07/2.09 unary 14
% 12.07/2.09 binary 0
% 12.07/2.09 lits 14
% 12.07/2.09 lits eq 14
% 12.07/2.09 fd_pure 0
% 12.07/2.09 fd_pseudo 0
% 12.07/2.09 fd_cond 0
% 12.07/2.09 fd_pseudo_cond 0
% 12.07/2.09 AC symbols 0
% 12.07/2.09
% 12.07/2.09 ------ Input Options Time Limit: Unbounded
% 12.07/2.09
% 12.07/2.09
% 12.07/2.09 ------
% 12.07/2.09 Current options:
% 12.07/2.09 ------
% 12.07/2.09
% 12.07/2.09
% 12.07/2.09
% 12.07/2.09
% 12.07/2.09 ------ Proving...
% 12.07/2.09
% 12.07/2.09
% 12.07/2.09 % SZS status Unsatisfiable for theBenchmark.p
% 12.07/2.09
% 12.07/2.09 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 12.07/2.09
% 12.07/2.09
%------------------------------------------------------------------------------