TSTP Solution File: GRP660-12 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP660-12 : TPTP v8.1.2. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n022.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 02:23:20 EDT 2024

% Result   : Unsatisfiable 19.77s 3.10s
% Output   : CNFRefutation 19.77s
% 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/sandbox2/benchmark/theBenchmark.p',f01) ).

cnf(c_50,plain,
    ld(X0,mult(X0,X1)) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).

cnf(c_51,plain,
    mult(rd(X0,X1),X1) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).

cnf(c_52,plain,
    rd(mult(X0,X1),X1) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).

cnf(c_53,plain,
    mult(mult(mult(X0,X1),X2),X0) = mult(X0,mult(X1,mult(X2,X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).

cnf(c_54,negated_conjecture,
    mult(rd(x1,x1),x0) != x0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).

cnf(c_77,plain,
    rd(x1,x1) = sP0_iProver_def,
    definition ).

cnf(c_78,plain,
    mult(sP0_iProver_def,x0) = sP1_iProver_def,
    definition ).

cnf(c_79,negated_conjecture,
    sP1_iProver_def != x0,
    inference(demodulation,[status(thm)],[c_54,c_77,c_78]) ).

cnf(c_129,plain,
    ld(sP0_iProver_def,sP1_iProver_def) = x0,
    inference(superposition,[status(thm)],[c_78,c_50]) ).

cnf(c_131,plain,
    mult(sP0_iProver_def,x1) = x1,
    inference(superposition,[status(thm)],[c_77,c_51]) ).

cnf(c_132,plain,
    ld(rd(X0,X1),X0) = X1,
    inference(superposition,[status(thm)],[c_51,c_50]) ).

cnf(c_134,plain,
    ld(sP0_iProver_def,x1) = x1,
    inference(superposition,[status(thm)],[c_131,c_50]) ).

cnf(c_137,plain,
    rd(X0,ld(X1,X0)) = X1,
    inference(superposition,[status(thm)],[c_49,c_52]) ).

cnf(c_142,plain,
    mult(X0,mult(X1,mult(ld(mult(X0,X1),X2),X0))) = mult(X2,X0),
    inference(superposition,[status(thm)],[c_49,c_53]) ).

cnf(c_144,plain,
    mult(X0,mult(ld(X0,X1),mult(X2,X0))) = mult(mult(X1,X2),X0),
    inference(superposition,[status(thm)],[c_49,c_53]) ).

cnf(c_148,plain,
    mult(sP0_iProver_def,mult(x1,mult(X0,sP0_iProver_def))) = mult(mult(x1,X0),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_131,c_53]) ).

cnf(c_150,plain,
    rd(mult(X0,mult(X1,mult(X2,X0))),X0) = mult(mult(X0,X1),X2),
    inference(superposition,[status(thm)],[c_53,c_52]) ).

cnf(c_183,plain,
    mult(mult(x1,rd(X0,sP0_iProver_def)),sP0_iProver_def) = mult(sP0_iProver_def,mult(x1,X0)),
    inference(superposition,[status(thm)],[c_51,c_148]) ).

cnf(c_187,plain,
    ld(sP0_iProver_def,mult(mult(x1,X0),sP0_iProver_def)) = mult(x1,mult(X0,sP0_iProver_def)),
    inference(superposition,[status(thm)],[c_148,c_50]) ).

cnf(c_255,plain,
    rd(mult(sP0_iProver_def,mult(x1,X0)),sP0_iProver_def) = mult(x1,rd(X0,sP0_iProver_def)),
    inference(superposition,[status(thm)],[c_183,c_52]) ).

cnf(c_301,plain,
    mult(x1,mult(ld(x1,X0),sP0_iProver_def)) = ld(sP0_iProver_def,mult(X0,sP0_iProver_def)),
    inference(superposition,[status(thm)],[c_49,c_187]) ).

cnf(c_353,plain,
    mult(X0,mult(ld(mult(X1,X0),X2),X1)) = ld(X1,mult(X2,X1)),
    inference(superposition,[status(thm)],[c_142,c_50]) ).

cnf(c_451,plain,
    mult(x1,rd(ld(x1,X0),sP0_iProver_def)) = rd(mult(sP0_iProver_def,X0),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_49,c_255]) ).

cnf(c_500,plain,
    rd(ld(sP0_iProver_def,mult(X0,sP0_iProver_def)),mult(ld(x1,X0),sP0_iProver_def)) = x1,
    inference(superposition,[status(thm)],[c_301,c_52]) ).

cnf(c_501,plain,
    ld(x1,ld(sP0_iProver_def,mult(X0,sP0_iProver_def))) = mult(ld(x1,X0),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_301,c_50]) ).

cnf(c_669,plain,
    mult(x1,mult(ld(x1,X0),x1)) = mult(mult(X0,sP0_iProver_def),x1),
    inference(superposition,[status(thm)],[c_131,c_144]) ).

cnf(c_680,plain,
    rd(mult(mult(X0,X1),X2),mult(ld(X2,X0),mult(X1,X2))) = X2,
    inference(superposition,[status(thm)],[c_144,c_52]) ).

cnf(c_681,plain,
    ld(X0,mult(mult(X1,X2),X0)) = mult(ld(X0,X1),mult(X2,X0)),
    inference(superposition,[status(thm)],[c_144,c_50]) ).

cnf(c_792,plain,
    rd(rd(mult(sP0_iProver_def,X0),sP0_iProver_def),rd(ld(x1,X0),sP0_iProver_def)) = x1,
    inference(superposition,[status(thm)],[c_451,c_52]) ).

cnf(c_808,plain,
    rd(sP0_iProver_def,mult(ld(x1,sP0_iProver_def),sP0_iProver_def)) = x1,
    inference(superposition,[status(thm)],[c_50,c_500]) ).

cnf(c_827,plain,
    mult(ld(x1,sP0_iProver_def),sP0_iProver_def) = ld(x1,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_808,c_132]) ).

cnf(c_854,plain,
    rd(ld(x1,sP0_iProver_def),sP0_iProver_def) = ld(x1,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_827,c_52]) ).

cnf(c_855,plain,
    ld(ld(x1,sP0_iProver_def),ld(x1,sP0_iProver_def)) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_827,c_50]) ).

cnf(c_901,plain,
    mult(ld(x1,rd(X0,sP0_iProver_def)),sP0_iProver_def) = ld(x1,ld(sP0_iProver_def,X0)),
    inference(superposition,[status(thm)],[c_51,c_501]) ).

cnf(c_1193,plain,
    rd(mult(mult(X0,sP0_iProver_def),x1),mult(ld(x1,X0),x1)) = x1,
    inference(superposition,[status(thm)],[c_669,c_52]) ).

cnf(c_1305,plain,
    rd(rd(x1,sP0_iProver_def),rd(ld(x1,x1),sP0_iProver_def)) = x1,
    inference(superposition,[status(thm)],[c_131,c_792]) ).

cnf(c_1411,plain,
    ld(x1,rd(x1,sP0_iProver_def)) = rd(ld(x1,x1),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_1305,c_132]) ).

cnf(c_1876,plain,
    rd(mult(X0,x1),mult(ld(x1,rd(X0,sP0_iProver_def)),x1)) = x1,
    inference(superposition,[status(thm)],[c_51,c_1193]) ).

cnf(c_2006,plain,
    mult(mult(X0,rd(X1,mult(X2,X0))),X2) = rd(mult(X0,X1),X0),
    inference(superposition,[status(thm)],[c_51,c_150]) ).

cnf(c_2018,plain,
    mult(mult(X0,X1),rd(X2,X0)) = rd(mult(X0,mult(X1,X2)),X0),
    inference(superposition,[status(thm)],[c_51,c_150]) ).

cnf(c_2274,plain,
    mult(ld(x1,rd(X0,sP0_iProver_def)),x1) = ld(x1,mult(X0,x1)),
    inference(superposition,[status(thm)],[c_1876,c_132]) ).

cnf(c_2828,plain,
    rd(ld(x1,mult(X0,x1)),x1) = ld(x1,rd(X0,sP0_iProver_def)),
    inference(superposition,[status(thm)],[c_2274,c_52]) ).

cnf(c_3319,plain,
    ld(x1,rd(x1,sP0_iProver_def)) = rd(x1,x1),
    inference(superposition,[status(thm)],[c_50,c_2828]) ).

cnf(c_3328,plain,
    ld(x1,rd(x1,sP0_iProver_def)) = sP0_iProver_def,
    inference(light_normalisation,[status(thm)],[c_3319,c_77,c_1411]) ).

cnf(c_3408,plain,
    ld(x1,ld(sP0_iProver_def,x1)) = mult(sP0_iProver_def,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_3328,c_901]) ).

cnf(c_3409,plain,
    ld(x1,x1) = mult(sP0_iProver_def,sP0_iProver_def),
    inference(light_normalisation,[status(thm)],[c_3408,c_134]) ).

cnf(c_3497,plain,
    mult(x1,mult(sP0_iProver_def,sP0_iProver_def)) = x1,
    inference(superposition,[status(thm)],[c_3409,c_49]) ).

cnf(c_5619,plain,
    ld(X0,ld(X1,mult(X2,X1))) = mult(ld(mult(X1,X0),X2),X1),
    inference(superposition,[status(thm)],[c_353,c_50]) ).

cnf(c_6764,plain,
    rd(mult(x1,X0),mult(ld(X0,sP0_iProver_def),mult(x1,X0))) = X0,
    inference(superposition,[status(thm)],[c_131,c_680]) ).

cnf(c_7706,plain,
    rd(X0,mult(ld(ld(x1,X0),sP0_iProver_def),X0)) = ld(x1,X0),
    inference(superposition,[status(thm)],[c_49,c_6764]) ).

cnf(c_7712,plain,
    rd(x1,mult(ld(mult(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def),x1)) = mult(sP0_iProver_def,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_3497,c_6764]) ).

cnf(c_7961,plain,
    mult(ld(ld(x1,X0),sP0_iProver_def),X0) = ld(ld(x1,X0),X0),
    inference(superposition,[status(thm)],[c_7706,c_132]) ).

cnf(c_7970,plain,
    mult(ld(mult(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def),x1) = ld(mult(sP0_iProver_def,sP0_iProver_def),x1),
    inference(superposition,[status(thm)],[c_7712,c_132]) ).

cnf(c_8438,plain,
    rd(ld(ld(x1,X0),X0),X0) = ld(ld(x1,X0),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_7961,c_52]) ).

cnf(c_8607,plain,
    rd(ld(mult(sP0_iProver_def,sP0_iProver_def),x1),x1) = ld(mult(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_7970,c_52]) ).

cnf(c_9442,plain,
    mult(X0,rd(X1,mult(X2,X0))) = rd(rd(mult(X0,X1),X0),X2),
    inference(superposition,[status(thm)],[c_2006,c_52]) ).

cnf(c_9980,plain,
    mult(mult(X0,sP0_iProver_def),rd(x0,X0)) = rd(mult(X0,sP1_iProver_def),X0),
    inference(superposition,[status(thm)],[c_78,c_2018]) ).

cnf(c_14401,plain,
    mult(ld(mult(X0,X1),X0),X0) = ld(X1,X0),
    inference(superposition,[status(thm)],[c_50,c_5619]) ).

cnf(c_14783,plain,
    ld(ld(X0,X1),X0) = mult(ld(X1,X0),X0),
    inference(superposition,[status(thm)],[c_49,c_14401]) ).

cnf(c_14818,plain,
    mult(ld(ld(x1,sP0_iProver_def),ld(x1,sP0_iProver_def)),ld(x1,sP0_iProver_def)) = ld(sP0_iProver_def,ld(x1,sP0_iProver_def)),
    inference(superposition,[status(thm)],[c_827,c_14401]) ).

cnf(c_14831,plain,
    ld(mult(sP0_iProver_def,sP0_iProver_def),x1) = mult(ld(x1,x1),x1),
    inference(superposition,[status(thm)],[c_3497,c_14401]) ).

cnf(c_14856,plain,
    ld(mult(X0,X1),X0) = rd(ld(X1,X0),X0),
    inference(superposition,[status(thm)],[c_14401,c_52]) ).

cnf(c_14909,plain,
    ld(mult(sP0_iProver_def,sP0_iProver_def),x1) = mult(mult(sP0_iProver_def,sP0_iProver_def),x1),
    inference(light_normalisation,[status(thm)],[c_14831,c_3409]) ).

cnf(c_14911,plain,
    ld(sP0_iProver_def,ld(x1,sP0_iProver_def)) = mult(sP0_iProver_def,ld(x1,sP0_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_14818,c_855]) ).

cnf(c_14919,plain,
    rd(ld(mult(sP0_iProver_def,sP0_iProver_def),x1),x1) = rd(ld(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def),
    inference(demodulation,[status(thm)],[c_8607,c_14856]) ).

cnf(c_15461,plain,
    rd(X0,mult(ld(X1,X0),X0)) = ld(X0,X1),
    inference(superposition,[status(thm)],[c_14783,c_137]) ).

cnf(c_15467,plain,
    rd(mult(ld(x1,x1),x1),x1) = ld(ld(x1,x1),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_14783,c_8438]) ).

cnf(c_15468,plain,
    rd(mult(mult(sP0_iProver_def,sP0_iProver_def),x1),x1) = ld(mult(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def),
    inference(light_normalisation,[status(thm)],[c_15467,c_3409]) ).

cnf(c_15571,plain,
    rd(ld(mult(sP0_iProver_def,sP0_iProver_def),x1),x1) = ld(x1,x1),
    inference(superposition,[status(thm)],[c_3497,c_14856]) ).

cnf(c_15592,plain,
    rd(X0,rd(ld(X1,X0),X0)) = mult(X0,X1),
    inference(superposition,[status(thm)],[c_14856,c_137]) ).

cnf(c_15598,plain,
    ld(mult(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def) = mult(sP0_iProver_def,sP0_iProver_def),
    inference(light_normalisation,[status(thm)],[c_15571,c_3409,c_14909,c_14919,c_15468]) ).

cnf(c_15875,plain,
    rd(ld(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def) = mult(sP0_iProver_def,sP0_iProver_def),
    inference(demodulation,[status(thm)],[c_15598,c_14856]) ).

cnf(c_15878,plain,
    mult(mult(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def) = ld(sP0_iProver_def,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_15875,c_51]) ).

cnf(c_16010,plain,
    mult(ld(sP0_iProver_def,sP0_iProver_def),mult(sP0_iProver_def,sP0_iProver_def)) = ld(sP0_iProver_def,ld(sP0_iProver_def,sP0_iProver_def)),
    inference(superposition,[status(thm)],[c_15878,c_681]) ).

cnf(c_16177,plain,
    mult(sP0_iProver_def,mult(sP0_iProver_def,ld(x1,sP0_iProver_def))) = ld(x1,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_14911,c_49]) ).

cnf(c_16179,plain,
    rd(ld(x1,sP0_iProver_def),mult(sP0_iProver_def,ld(x1,sP0_iProver_def))) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_14911,c_137]) ).

cnf(c_16631,plain,
    mult(mult(sP0_iProver_def,sP0_iProver_def),rd(ld(x1,sP0_iProver_def),sP0_iProver_def)) = rd(ld(x1,sP0_iProver_def),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_16177,c_2018]) ).

cnf(c_16632,plain,
    mult(mult(sP0_iProver_def,sP0_iProver_def),ld(x1,sP0_iProver_def)) = ld(x1,sP0_iProver_def),
    inference(light_normalisation,[status(thm)],[c_16631,c_854]) ).

cnf(c_16698,plain,
    rd(sP0_iProver_def,ld(ld(x1,sP0_iProver_def),sP0_iProver_def)) = ld(sP0_iProver_def,ld(x1,sP0_iProver_def)),
    inference(superposition,[status(thm)],[c_7961,c_15461]) ).

cnf(c_16701,plain,
    ld(X0,rd(X0,X1)) = rd(X0,mult(X1,X0)),
    inference(superposition,[status(thm)],[c_132,c_15461]) ).

cnf(c_16713,plain,
    rd(ld(x1,sP0_iProver_def),mult(mult(sP0_iProver_def,ld(x1,sP0_iProver_def)),ld(x1,sP0_iProver_def))) = ld(ld(x1,sP0_iProver_def),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_14911,c_15461]) ).

cnf(c_16757,plain,
    rd(sP0_iProver_def,ld(ld(x1,sP0_iProver_def),sP0_iProver_def)) = mult(sP0_iProver_def,ld(x1,sP0_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_16698,c_14911]) ).

cnf(c_16942,plain,
    rd(sP0_iProver_def,mult(sP0_iProver_def,sP0_iProver_def)) = mult(sP0_iProver_def,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_15875,c_15592]) ).

cnf(c_17101,plain,
    mult(mult(sP0_iProver_def,sP0_iProver_def),mult(sP0_iProver_def,sP0_iProver_def)) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_16942,c_51]) ).

cnf(c_17144,plain,
    mult(mult(mult(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def),rd(sP0_iProver_def,mult(sP0_iProver_def,sP0_iProver_def))) = rd(sP0_iProver_def,mult(sP0_iProver_def,sP0_iProver_def)),
    inference(superposition,[status(thm)],[c_17101,c_2018]) ).

cnf(c_17148,plain,
    ld(sP0_iProver_def,ld(sP0_iProver_def,sP0_iProver_def)) = mult(sP0_iProver_def,sP0_iProver_def),
    inference(light_normalisation,[status(thm)],[c_17144,c_15878,c_16010,c_16942]) ).

cnf(c_17250,plain,
    mult(sP0_iProver_def,mult(sP0_iProver_def,sP0_iProver_def)) = ld(sP0_iProver_def,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_17148,c_49]) ).

cnf(c_17732,plain,
    rd(ld(x1,sP0_iProver_def),ld(x1,sP0_iProver_def)) = mult(sP0_iProver_def,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_16632,c_52]) ).

cnf(c_17852,plain,
    mult(X0,rd(X0,mult(X1,X0))) = rd(X0,X1),
    inference(superposition,[status(thm)],[c_16701,c_49]) ).

cnf(c_17855,plain,
    rd(rd(X0,X1),rd(X0,mult(X1,X0))) = X0,
    inference(superposition,[status(thm)],[c_16701,c_137]) ).

cnf(c_18398,plain,
    mult(sP0_iProver_def,mult(sP0_iProver_def,sP0_iProver_def)) = rd(sP0_iProver_def,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_16942,c_17852]) ).

cnf(c_18561,plain,
    ld(sP0_iProver_def,sP0_iProver_def) = rd(sP0_iProver_def,sP0_iProver_def),
    inference(demodulation,[status(thm)],[c_17250,c_18398]) ).

cnf(c_19617,plain,
    rd(sP0_iProver_def,rd(ld(x1,sP0_iProver_def),mult(mult(sP0_iProver_def,ld(x1,sP0_iProver_def)),ld(x1,sP0_iProver_def)))) = ld(x1,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_16179,c_17855]) ).

cnf(c_19747,plain,
    mult(sP0_iProver_def,ld(x1,sP0_iProver_def)) = ld(x1,sP0_iProver_def),
    inference(light_normalisation,[status(thm)],[c_19617,c_16713,c_16757]) ).

cnf(c_19778,plain,
    rd(ld(x1,sP0_iProver_def),ld(x1,sP0_iProver_def)) = sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_16179,c_19747]) ).

cnf(c_19781,plain,
    mult(sP0_iProver_def,sP0_iProver_def) = sP0_iProver_def,
    inference(light_normalisation,[status(thm)],[c_19778,c_17732]) ).

cnf(c_19787,plain,
    mult(sP0_iProver_def,sP0_iProver_def) = rd(sP0_iProver_def,sP0_iProver_def),
    inference(demodulation,[status(thm)],[c_18398,c_19781]) ).

cnf(c_19793,plain,
    rd(sP0_iProver_def,sP0_iProver_def) = sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_16942,c_19781]) ).

cnf(c_19834,plain,
    ld(sP0_iProver_def,sP0_iProver_def) = sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_18561,c_19793]) ).

cnf(c_19964,plain,
    mult(sP0_iProver_def,rd(x0,sP0_iProver_def)) = rd(mult(sP0_iProver_def,sP1_iProver_def),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_19781,c_9980]) ).

cnf(c_25093,plain,
    mult(sP0_iProver_def,rd(x0,mult(X0,sP0_iProver_def))) = rd(rd(sP1_iProver_def,sP0_iProver_def),X0),
    inference(superposition,[status(thm)],[c_78,c_9442]) ).

cnf(c_25700,plain,
    mult(sP0_iProver_def,rd(x0,sP0_iProver_def)) = rd(rd(sP1_iProver_def,sP0_iProver_def),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_19781,c_25093]) ).

cnf(c_26532,plain,
    mult(mult(sP0_iProver_def,rd(x0,sP0_iProver_def)),sP0_iProver_def) = mult(sP0_iProver_def,sP1_iProver_def),
    inference(superposition,[status(thm)],[c_19964,c_51]) ).

cnf(c_31665,plain,
    mult(mult(sP0_iProver_def,rd(x0,sP0_iProver_def)),sP0_iProver_def) = rd(sP1_iProver_def,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_25700,c_51]) ).

cnf(c_31693,plain,
    mult(sP0_iProver_def,sP1_iProver_def) = rd(sP1_iProver_def,sP0_iProver_def),
    inference(light_normalisation,[status(thm)],[c_31665,c_26532]) ).

cnf(c_31809,plain,
    mult(mult(sP0_iProver_def,sP1_iProver_def),sP0_iProver_def) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_31693,c_51]) ).

cnf(c_32032,plain,
    mult(ld(sP0_iProver_def,sP0_iProver_def),mult(sP1_iProver_def,sP0_iProver_def)) = ld(sP0_iProver_def,sP1_iProver_def),
    inference(superposition,[status(thm)],[c_31809,c_681]) ).

cnf(c_32062,plain,
    mult(sP0_iProver_def,mult(sP1_iProver_def,sP0_iProver_def)) = x0,
    inference(light_normalisation,[status(thm)],[c_32032,c_129,c_19834]) ).

cnf(c_32263,plain,
    mult(mult(sP0_iProver_def,sP1_iProver_def),rd(sP0_iProver_def,sP0_iProver_def)) = rd(x0,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_32062,c_2018]) ).

cnf(c_32268,plain,
    rd(x0,sP0_iProver_def) = sP1_iProver_def,
    inference(light_normalisation,[status(thm)],[c_32263,c_19781,c_19787,c_31809]) ).

cnf(c_32523,plain,
    mult(sP1_iProver_def,sP0_iProver_def) = x0,
    inference(superposition,[status(thm)],[c_32268,c_51]) ).

cnf(c_32557,plain,
    mult(sP0_iProver_def,x0) = x0,
    inference(demodulation,[status(thm)],[c_32062,c_32523]) ).

cnf(c_32558,plain,
    x0 = sP1_iProver_def,
    inference(light_normalisation,[status(thm)],[c_32557,c_78]) ).

cnf(c_32621,plain,
    sP1_iProver_def != sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_79,c_32558]) ).

cnf(c_32622,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_32621]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem  : GRP660-12 : TPTP v8.1.2. Released v8.1.0.
% 0.03/0.11  % Command  : run_iprover %s %d THM
% 0.11/0.31  % Computer : n022.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 300
% 0.11/0.31  % DateTime : Thu May  2 23:52:42 EDT 2024
% 0.17/0.31  % CPUTime  : 
% 0.17/0.42  Running UEQ theorem proving
% 0.17/0.42  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 19.77/3.10  % SZS status Started for theBenchmark.p
% 19.77/3.10  % SZS status Unsatisfiable for theBenchmark.p
% 19.77/3.10  
% 19.77/3.10  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 19.77/3.10  
% 19.77/3.10  ------  iProver source info
% 19.77/3.10  
% 19.77/3.10  git: date: 2024-05-02 19:28:25 +0000
% 19.77/3.10  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 19.77/3.10  git: non_committed_changes: false
% 19.77/3.10  
% 19.77/3.10  ------ Parsing...successful
% 19.77/3.10  
% 19.77/3.10  
% 19.77/3.10  
% 19.77/3.10  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 19.77/3.10  
% 19.77/3.10  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 19.77/3.10  
% 19.77/3.10  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 19.77/3.10  ------ Proving...
% 19.77/3.10  ------ Problem Properties 
% 19.77/3.10  
% 19.77/3.10  
% 19.77/3.10  clauses                                 8
% 19.77/3.10  conjectures                             1
% 19.77/3.10  EPR                                     1
% 19.77/3.10  Horn                                    8
% 19.77/3.10  unary                                   8
% 19.77/3.10  binary                                  0
% 19.77/3.10  lits                                    8
% 19.77/3.10  lits eq                                 8
% 19.77/3.10  fd_pure                                 0
% 19.77/3.10  fd_pseudo                               0
% 19.77/3.10  fd_cond                                 0
% 19.77/3.10  fd_pseudo_cond                          0
% 19.77/3.10  AC symbols                              0
% 19.77/3.10  
% 19.77/3.10  ------ Input Options Time Limit: Unbounded
% 19.77/3.10  
% 19.77/3.10  
% 19.77/3.10  ------ 
% 19.77/3.10  Current options:
% 19.77/3.10  ------ 
% 19.77/3.10  
% 19.77/3.10  
% 19.77/3.10  
% 19.77/3.10  
% 19.77/3.10  ------ Proving...
% 19.77/3.10  
% 19.77/3.10  
% 19.77/3.10  % SZS status Unsatisfiable for theBenchmark.p
% 19.77/3.10  
% 19.77/3.10  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 19.77/3.10  
% 19.77/3.11  
%------------------------------------------------------------------------------