TSTP Solution File: GRP660-11 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP660-11 : TPTP v8.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 07:01:36 EDT 2024
% Result : Unsatisfiable 7.69s 1.68s
% Output : CNFRefutation 7.69s
% 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(x0,rd(x1,x1)) != 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(x0,sP0_iProver_def) = 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_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_136,plain,
rd(X0,ld(X1,X0)) = X1,
inference(superposition,[status(thm)],[c_49,c_52]) ).
cnf(c_140,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_142,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_145,plain,
mult(x0,mult(sP0_iProver_def,mult(X0,x0))) = mult(mult(sP1_iProver_def,X0),x0),
inference(superposition,[status(thm)],[c_78,c_53]) ).
cnf(c_146,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_148,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_169,plain,
mult(mult(sP1_iProver_def,rd(X0,x0)),x0) = mult(x0,mult(sP0_iProver_def,X0)),
inference(superposition,[status(thm)],[c_51,c_145]) ).
cnf(c_173,plain,
ld(x0,mult(mult(sP1_iProver_def,X0),x0)) = mult(sP0_iProver_def,mult(X0,x0)),
inference(superposition,[status(thm)],[c_145,c_50]) ).
cnf(c_179,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_146]) ).
cnf(c_184,plain,
ld(sP0_iProver_def,mult(mult(x1,X0),sP0_iProver_def)) = mult(x1,mult(X0,sP0_iProver_def)),
inference(superposition,[status(thm)],[c_146,c_50]) ).
cnf(c_203,plain,
rd(mult(x0,mult(sP0_iProver_def,X0)),x0) = mult(sP1_iProver_def,rd(X0,x0)),
inference(superposition,[status(thm)],[c_169,c_52]) ).
cnf(c_225,plain,
mult(sP0_iProver_def,mult(ld(sP1_iProver_def,X0),x0)) = ld(x0,mult(X0,x0)),
inference(superposition,[status(thm)],[c_49,c_173]) ).
cnf(c_234,plain,
rd(mult(sP0_iProver_def,mult(x1,X0)),sP0_iProver_def) = mult(x1,rd(X0,sP0_iProver_def)),
inference(superposition,[status(thm)],[c_179,c_52]) ).
cnf(c_235,plain,
ld(mult(x1,rd(X0,sP0_iProver_def)),mult(sP0_iProver_def,mult(x1,X0))) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_179,c_50]) ).
cnf(c_265,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_184]) ).
cnf(c_277,plain,
mult(sP1_iProver_def,rd(ld(sP0_iProver_def,X0),x0)) = rd(mult(x0,X0),x0),
inference(superposition,[status(thm)],[c_49,c_203]) ).
cnf(c_319,plain,
rd(ld(x0,mult(X0,x0)),mult(ld(sP1_iProver_def,X0),x0)) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_225,c_52]) ).
cnf(c_335,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_234]) ).
cnf(c_355,plain,
rd(ld(sP0_iProver_def,mult(X0,sP0_iProver_def)),mult(ld(x1,X0),sP0_iProver_def)) = x1,
inference(superposition,[status(thm)],[c_265,c_52]) ).
cnf(c_356,plain,
ld(x1,ld(sP0_iProver_def,mult(X0,sP0_iProver_def))) = mult(ld(x1,X0),sP0_iProver_def),
inference(superposition,[status(thm)],[c_265,c_50]) ).
cnf(c_380,plain,
rd(rd(mult(x0,X0),x0),rd(ld(sP0_iProver_def,X0),x0)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_277,c_52]) ).
cnf(c_393,plain,
rd(x0,mult(ld(sP1_iProver_def,x0),x0)) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_50,c_319]) ).
cnf(c_408,plain,
mult(ld(sP1_iProver_def,x0),x0) = ld(sP0_iProver_def,x0),
inference(superposition,[status(thm)],[c_393,c_132]) ).
cnf(c_445,plain,
rd(rd(mult(sP0_iProver_def,X0),sP0_iProver_def),rd(ld(x1,X0),sP0_iProver_def)) = x1,
inference(superposition,[status(thm)],[c_335,c_52]) ).
cnf(c_446,plain,
ld(x1,rd(mult(sP0_iProver_def,X0),sP0_iProver_def)) = rd(ld(x1,X0),sP0_iProver_def),
inference(superposition,[status(thm)],[c_335,c_50]) ).
cnf(c_462,plain,
rd(sP0_iProver_def,mult(ld(x1,sP0_iProver_def),sP0_iProver_def)) = x1,
inference(superposition,[status(thm)],[c_50,c_355]) ).
cnf(c_478,plain,
mult(ld(x1,sP0_iProver_def),sP0_iProver_def) = ld(x1,sP0_iProver_def),
inference(superposition,[status(thm)],[c_462,c_132]) ).
cnf(c_482,plain,
rd(ld(x1,sP0_iProver_def),sP0_iProver_def) = ld(x1,sP0_iProver_def),
inference(superposition,[status(thm)],[c_478,c_52]) ).
cnf(c_488,plain,
ld(sP0_iProver_def,mult(sP0_iProver_def,sP0_iProver_def)) = mult(x1,ld(x1,sP0_iProver_def)),
inference(superposition,[status(thm)],[c_478,c_265]) ).
cnf(c_495,plain,
mult(x1,ld(x1,sP0_iProver_def)) = rd(mult(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def),
inference(superposition,[status(thm)],[c_482,c_335]) ).
cnf(c_516,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_356]) ).
cnf(c_537,plain,
rd(rd(sP1_iProver_def,x0),rd(ld(sP0_iProver_def,sP0_iProver_def),x0)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_78,c_380]) ).
cnf(c_591,plain,
mult(sP1_iProver_def,rd(ld(sP0_iProver_def,sP0_iProver_def),x0)) = rd(sP1_iProver_def,x0),
inference(superposition,[status(thm)],[c_537,c_51]) ).
cnf(c_666,plain,
mult(x0,mult(sP0_iProver_def,ld(sP0_iProver_def,sP0_iProver_def))) = mult(rd(sP1_iProver_def,x0),x0),
inference(superposition,[status(thm)],[c_591,c_169]) ).
cnf(c_738,plain,
rd(rd(x1,sP0_iProver_def),rd(ld(x1,x1),sP0_iProver_def)) = x1,
inference(superposition,[status(thm)],[c_131,c_445]) ).
cnf(c_764,plain,
ld(x1,rd(x1,sP0_iProver_def)) = rd(ld(x1,x1),sP0_iProver_def),
inference(superposition,[status(thm)],[c_131,c_446]) ).
cnf(c_793,plain,
ld(ld(x1,rd(X0,sP0_iProver_def)),ld(x1,ld(sP0_iProver_def,X0))) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_516,c_50]) ).
cnf(c_811,plain,
mult(x1,rd(ld(x1,x1),sP0_iProver_def)) = rd(x1,sP0_iProver_def),
inference(superposition,[status(thm)],[c_738,c_51]) ).
cnf(c_829,plain,
mult(sP0_iProver_def,mult(x1,ld(x1,x1))) = mult(rd(x1,sP0_iProver_def),sP0_iProver_def),
inference(superposition,[status(thm)],[c_811,c_179]) ).
cnf(c_914,plain,
rd(mult(rd(sP1_iProver_def,x0),x0),mult(sP0_iProver_def,ld(sP0_iProver_def,sP0_iProver_def))) = x0,
inference(superposition,[status(thm)],[c_666,c_52]) ).
cnf(c_1034,plain,
rd(mult(rd(x1,sP0_iProver_def),sP0_iProver_def),mult(x1,ld(x1,x1))) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_829,c_52]) ).
cnf(c_1147,plain,
rd(sP1_iProver_def,mult(sP0_iProver_def,ld(sP0_iProver_def,sP0_iProver_def))) = x0,
inference(superposition,[status(thm)],[c_51,c_914]) ).
cnf(c_1153,plain,
mult(x0,mult(sP0_iProver_def,ld(sP0_iProver_def,sP0_iProver_def))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_1147,c_51]) ).
cnf(c_1186,plain,
rd(x1,mult(x1,ld(x1,x1))) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_51,c_1034]) ).
cnf(c_1187,plain,
rd(mult(rd(x1,sP0_iProver_def),sP0_iProver_def),x1) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_49,c_1034]) ).
cnf(c_1192,plain,
mult(sP0_iProver_def,mult(x1,ld(x1,x1))) = x1,
inference(superposition,[status(thm)],[c_1186,c_51]) ).
cnf(c_1196,plain,
ld(sP0_iProver_def,mult(rd(x1,sP0_iProver_def),sP0_iProver_def)) = x1,
inference(superposition,[status(thm)],[c_1187,c_132]) ).
cnf(c_1216,plain,
rd(x1,mult(ld(x1,rd(x1,sP0_iProver_def)),sP0_iProver_def)) = x1,
inference(superposition,[status(thm)],[c_1196,c_355]) ).
cnf(c_1221,plain,
rd(x1,mult(rd(ld(x1,x1),sP0_iProver_def),sP0_iProver_def)) = x1,
inference(light_normalisation,[status(thm)],[c_1216,c_764]) ).
cnf(c_1230,plain,
mult(x1,mult(rd(ld(x1,x1),sP0_iProver_def),sP0_iProver_def)) = x1,
inference(superposition,[status(thm)],[c_1221,c_51]) ).
cnf(c_1316,plain,
mult(X0,mult(ld(mult(X1,X0),X2),X1)) = ld(X1,mult(X2,X1)),
inference(superposition,[status(thm)],[c_140,c_50]) ).
cnf(c_1442,plain,
mult(mult(X0,rd(X1,X2)),X2) = mult(X2,mult(ld(X2,X0),X1)),
inference(superposition,[status(thm)],[c_51,c_142]) ).
cnf(c_1445,plain,
mult(x1,mult(ld(x1,X0),x1)) = mult(mult(X0,sP0_iProver_def),x1),
inference(superposition,[status(thm)],[c_131,c_142]) ).
cnf(c_1480,plain,
ld(X0,mult(mult(X1,X2),X0)) = mult(ld(X0,X1),mult(X2,X0)),
inference(superposition,[status(thm)],[c_142,c_50]) ).
cnf(c_1613,plain,
rd(mult(mult(X0,sP0_iProver_def),x1),mult(ld(x1,X0),x1)) = x1,
inference(superposition,[status(thm)],[c_1445,c_52]) ).
cnf(c_1658,plain,
rd(mult(X0,x1),mult(ld(x1,rd(X0,sP0_iProver_def)),x1)) = x1,
inference(superposition,[status(thm)],[c_51,c_1613]) ).
cnf(c_1762,plain,
rd(x1,mult(ld(x1,rd(sP0_iProver_def,sP0_iProver_def)),x1)) = x1,
inference(superposition,[status(thm)],[c_131,c_1658]) ).
cnf(c_1774,plain,
mult(ld(x1,rd(X0,sP0_iProver_def)),x1) = ld(x1,mult(X0,x1)),
inference(superposition,[status(thm)],[c_1658,c_132]) ).
cnf(c_1787,plain,
mult(ld(x1,rd(sP0_iProver_def,sP0_iProver_def)),x1) = ld(x1,x1),
inference(superposition,[status(thm)],[c_1762,c_132]) ).
cnf(c_1791,plain,
ld(x1,rd(sP0_iProver_def,sP0_iProver_def)) = rd(ld(x1,x1),x1),
inference(superposition,[status(thm)],[c_1787,c_52]) ).
cnf(c_1795,plain,
mult(mult(rd(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def),x1) = mult(x1,ld(x1,x1)),
inference(superposition,[status(thm)],[c_1787,c_1445]) ).
cnf(c_1813,plain,
mult(x1,rd(ld(x1,x1),x1)) = rd(sP0_iProver_def,sP0_iProver_def),
inference(superposition,[status(thm)],[c_1791,c_49]) ).
cnf(c_1821,plain,
ld(rd(ld(x1,x1),x1),ld(x1,ld(sP0_iProver_def,sP0_iProver_def))) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_1791,c_793]) ).
cnf(c_2140,plain,
rd(ld(x1,mult(X0,x1)),x1) = ld(x1,rd(X0,sP0_iProver_def)),
inference(superposition,[status(thm)],[c_1774,c_52]) ).
cnf(c_2240,plain,
ld(mult(rd(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def),mult(x1,ld(x1,x1))) = x1,
inference(superposition,[status(thm)],[c_1795,c_50]) ).
cnf(c_2250,plain,
rd(ld(x1,ld(sP0_iProver_def,sP0_iProver_def)),sP0_iProver_def) = rd(ld(x1,x1),x1),
inference(superposition,[status(thm)],[c_1821,c_136]) ).
cnf(c_2253,plain,
ld(x1,rd(x1,sP0_iProver_def)) = rd(x1,x1),
inference(superposition,[status(thm)],[c_50,c_2140]) ).
cnf(c_2263,plain,
ld(x1,rd(x1,sP0_iProver_def)) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_2253,c_77,c_764]) ).
cnf(c_2265,plain,
rd(ld(x1,x1),sP0_iProver_def) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_764,c_2263]) ).
cnf(c_2266,plain,
mult(x1,mult(sP0_iProver_def,sP0_iProver_def)) = x1,
inference(demodulation,[status(thm)],[c_1230,c_2265]) ).
cnf(c_2267,plain,
rd(x1,mult(sP0_iProver_def,sP0_iProver_def)) = x1,
inference(demodulation,[status(thm)],[c_1221,c_2265]) ).
cnf(c_2268,plain,
mult(x1,sP0_iProver_def) = rd(x1,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_811,c_2265]) ).
cnf(c_2367,plain,
ld(x1,x1) = mult(sP0_iProver_def,sP0_iProver_def),
inference(superposition,[status(thm)],[c_2265,c_51]) ).
cnf(c_2373,plain,
ld(mult(x1,sP0_iProver_def),mult(sP0_iProver_def,mult(x1,ld(x1,x1)))) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_2265,c_235]) ).
cnf(c_2378,plain,
ld(mult(x1,sP0_iProver_def),x1) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_2373,c_1192]) ).
cnf(c_2385,plain,
mult(x1,rd(mult(sP0_iProver_def,sP0_iProver_def),x1)) = rd(sP0_iProver_def,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_1813,c_2367]) ).
cnf(c_2399,plain,
mult(x1,rd(mult(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def)) = rd(mult(sP0_iProver_def,x1),sP0_iProver_def),
inference(superposition,[status(thm)],[c_2266,c_234]) ).
cnf(c_2402,plain,
mult(mult(x1,sP0_iProver_def),sP0_iProver_def) = mult(sP0_iProver_def,x1),
inference(superposition,[status(thm)],[c_2266,c_146]) ).
cnf(c_2403,plain,
mult(mult(x1,sP0_iProver_def),sP0_iProver_def) = x1,
inference(light_normalisation,[status(thm)],[c_2402,c_131]) ).
cnf(c_2404,plain,
mult(x1,mult(x1,ld(x1,sP0_iProver_def))) = mult(x1,sP0_iProver_def),
inference(light_normalisation,[status(thm)],[c_2399,c_131,c_495,c_2268]) ).
cnf(c_2513,plain,
ld(mult(rd(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def),x1) = x1,
inference(light_normalisation,[status(thm)],[c_2240,c_2266,c_2367]) ).
cnf(c_2689,plain,
ld(x1,mult(x1,sP0_iProver_def)) = mult(x1,ld(x1,sP0_iProver_def)),
inference(superposition,[status(thm)],[c_2404,c_50]) ).
cnf(c_2881,plain,
mult(mult(X0,X1),rd(X2,X0)) = rd(mult(X0,mult(X1,X2)),X0),
inference(superposition,[status(thm)],[c_51,c_148]) ).
cnf(c_3526,plain,
ld(X0,ld(X1,mult(X2,X1))) = mult(ld(mult(X1,X0),X2),X1),
inference(superposition,[status(thm)],[c_1316,c_50]) ).
cnf(c_3836,plain,
ld(mult(X0,rd(X1,X2)),mult(X2,mult(ld(X2,X0),X1))) = X2,
inference(superposition,[status(thm)],[c_1442,c_50]) ).
cnf(c_3910,plain,
rd(ld(x1,ld(sP0_iProver_def,sP0_iProver_def)),sP0_iProver_def) = rd(mult(sP0_iProver_def,sP0_iProver_def),x1),
inference(light_normalisation,[status(thm)],[c_2250,c_2367]) ).
cnf(c_3921,plain,
mult(x1,rd(mult(sP0_iProver_def,sP0_iProver_def),x1)) = rd(mult(sP0_iProver_def,ld(sP0_iProver_def,sP0_iProver_def)),sP0_iProver_def),
inference(superposition,[status(thm)],[c_3910,c_335]) ).
cnf(c_3924,plain,
rd(mult(sP0_iProver_def,ld(sP0_iProver_def,sP0_iProver_def)),sP0_iProver_def) = rd(sP0_iProver_def,sP0_iProver_def),
inference(light_normalisation,[status(thm)],[c_3921,c_2385]) ).
cnf(c_3928,plain,
mult(rd(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def) = mult(sP0_iProver_def,ld(sP0_iProver_def,sP0_iProver_def)),
inference(superposition,[status(thm)],[c_3924,c_51]) ).
cnf(c_3944,plain,
ld(mult(sP0_iProver_def,ld(sP0_iProver_def,sP0_iProver_def)),x1) = x1,
inference(demodulation,[status(thm)],[c_2513,c_3928]) ).
cnf(c_4568,plain,
mult(ld(mult(X0,X1),X0),mult(X1,mult(X0,X1))) = mult(X0,X1),
inference(superposition,[status(thm)],[c_1480,c_50]) ).
cnf(c_5033,plain,
mult(mult(x1,sP0_iProver_def),rd(sP0_iProver_def,x1)) = rd(x1,x1),
inference(superposition,[status(thm)],[c_2266,c_2881]) ).
cnf(c_5124,plain,
mult(mult(x1,sP0_iProver_def),rd(sP0_iProver_def,x1)) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_5033,c_77]) ).
cnf(c_5239,plain,
rd(sP0_iProver_def,rd(sP0_iProver_def,x1)) = mult(x1,sP0_iProver_def),
inference(superposition,[status(thm)],[c_5124,c_52]) ).
cnf(c_5240,plain,
ld(mult(x1,sP0_iProver_def),sP0_iProver_def) = rd(sP0_iProver_def,x1),
inference(superposition,[status(thm)],[c_5124,c_50]) ).
cnf(c_5273,plain,
mult(sP0_iProver_def,mult(rd(sP0_iProver_def,x1),x1)) = ld(x1,mult(sP0_iProver_def,x1)),
inference(superposition,[status(thm)],[c_5240,c_1316]) ).
cnf(c_5274,plain,
mult(sP0_iProver_def,mult(rd(sP0_iProver_def,x1),x1)) = mult(sP0_iProver_def,sP0_iProver_def),
inference(light_normalisation,[status(thm)],[c_5273,c_131,c_2367]) ).
cnf(c_5281,plain,
ld(sP0_iProver_def,mult(sP0_iProver_def,sP0_iProver_def)) = mult(rd(sP0_iProver_def,x1),x1),
inference(superposition,[status(thm)],[c_5274,c_50]) ).
cnf(c_5294,plain,
mult(rd(sP0_iProver_def,x1),x1) = mult(x1,ld(x1,sP0_iProver_def)),
inference(light_normalisation,[status(thm)],[c_5281,c_488]) ).
cnf(c_5451,plain,
rd(mult(x1,ld(x1,sP0_iProver_def)),x1) = rd(sP0_iProver_def,x1),
inference(superposition,[status(thm)],[c_5294,c_52]) ).
cnf(c_6819,plain,
mult(ld(mult(X0,X1),X0),X0) = ld(X1,X0),
inference(superposition,[status(thm)],[c_50,c_3526]) ).
cnf(c_6831,plain,
mult(ld(mult(sP0_iProver_def,X0),x0),sP0_iProver_def) = ld(X0,ld(sP0_iProver_def,sP1_iProver_def)),
inference(superposition,[status(thm)],[c_78,c_3526]) ).
cnf(c_7053,plain,
ld(ld(X0,X1),X0) = mult(ld(X1,X0),X0),
inference(superposition,[status(thm)],[c_49,c_6819]) ).
cnf(c_7080,plain,
ld(mult(x1,ld(x1,sP0_iProver_def)),x1) = mult(ld(mult(x1,sP0_iProver_def),x1),x1),
inference(superposition,[status(thm)],[c_2404,c_6819]) ).
cnf(c_7081,plain,
ld(mult(sP0_iProver_def,sP0_iProver_def),x1) = mult(ld(x1,x1),x1),
inference(superposition,[status(thm)],[c_2266,c_6819]) ).
cnf(c_7084,plain,
ld(mult(sP0_iProver_def,ld(sP0_iProver_def,sP0_iProver_def)),x0) = mult(ld(sP1_iProver_def,x0),x0),
inference(superposition,[status(thm)],[c_1153,c_6819]) ).
cnf(c_7128,plain,
ld(mult(X0,X1),X0) = rd(ld(X1,X0),X0),
inference(superposition,[status(thm)],[c_6819,c_52]) ).
cnf(c_7160,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_7081,c_2367]) ).
cnf(c_7162,plain,
ld(mult(sP0_iProver_def,ld(sP0_iProver_def,sP0_iProver_def)),x0) = ld(sP0_iProver_def,x0),
inference(light_normalisation,[status(thm)],[c_7084,c_408]) ).
cnf(c_7167,plain,
ld(mult(x1,ld(x1,sP0_iProver_def)),x1) = x1,
inference(light_normalisation,[status(thm)],[c_7080,c_131,c_2378]) ).
cnf(c_7316,plain,
rd(X0,mult(ld(X1,X0),X0)) = ld(X0,X1),
inference(superposition,[status(thm)],[c_7053,c_136]) ).
cnf(c_7447,plain,
rd(ld(ld(x1,sP0_iProver_def),x1),x1) = x1,
inference(demodulation,[status(thm)],[c_7167,c_7128]) ).
cnf(c_7524,plain,
rd(X0,rd(ld(X1,X0),X0)) = mult(X0,X1),
inference(superposition,[status(thm)],[c_7128,c_136]) ).
cnf(c_7593,plain,
ld(ld(x1,sP0_iProver_def),x1) = mult(x1,x1),
inference(superposition,[status(thm)],[c_7447,c_51]) ).
cnf(c_7612,plain,
rd(x1,mult(x1,x1)) = ld(x1,sP0_iProver_def),
inference(superposition,[status(thm)],[c_7593,c_136]) ).
cnf(c_7680,plain,
rd(ld(X0,ld(sP0_iProver_def,sP1_iProver_def)),sP0_iProver_def) = ld(mult(sP0_iProver_def,X0),x0),
inference(superposition,[status(thm)],[c_6831,c_52]) ).
cnf(c_7913,plain,
mult(mult(sP0_iProver_def,sP0_iProver_def),mult(mult(sP0_iProver_def,sP0_iProver_def),x1)) = x1,
inference(superposition,[status(thm)],[c_7160,c_49]) ).
cnf(c_7925,plain,
mult(mult(sP0_iProver_def,ld(sP0_iProver_def,sP0_iProver_def)),ld(sP0_iProver_def,x0)) = x0,
inference(superposition,[status(thm)],[c_7162,c_49]) ).
cnf(c_7977,plain,
mult(mult(mult(sP0_iProver_def,sP0_iProver_def),mult(sP0_iProver_def,sP0_iProver_def)),rd(x1,mult(sP0_iProver_def,sP0_iProver_def))) = rd(x1,mult(sP0_iProver_def,sP0_iProver_def)),
inference(superposition,[status(thm)],[c_7913,c_2881]) ).
cnf(c_7982,plain,
mult(mult(mult(sP0_iProver_def,sP0_iProver_def),mult(sP0_iProver_def,sP0_iProver_def)),x1) = x1,
inference(light_normalisation,[status(thm)],[c_7977,c_2267]) ).
cnf(c_8036,plain,
ld(X0,rd(X0,X1)) = rd(X0,mult(X1,X0)),
inference(superposition,[status(thm)],[c_132,c_7316]) ).
cnf(c_8089,plain,
ld(x1,mult(sP0_iProver_def,ld(sP0_iProver_def,sP0_iProver_def))) = rd(x1,mult(x1,x1)),
inference(superposition,[status(thm)],[c_3944,c_7316]) ).
cnf(c_8111,plain,
ld(x1,mult(sP0_iProver_def,ld(sP0_iProver_def,sP0_iProver_def))) = ld(x1,sP0_iProver_def),
inference(light_normalisation,[status(thm)],[c_8089,c_7612]) ).
cnf(c_8236,plain,
mult(sP0_iProver_def,mult(ld(sP0_iProver_def,sP0_iProver_def),mult(ld(sP0_iProver_def,x0),sP0_iProver_def))) = mult(x0,sP0_iProver_def),
inference(superposition,[status(thm)],[c_7925,c_53]) ).
cnf(c_8247,plain,
mult(sP0_iProver_def,mult(ld(sP0_iProver_def,sP0_iProver_def),mult(ld(sP0_iProver_def,x0),sP0_iProver_def))) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_8236,c_78]) ).
cnf(c_8406,plain,
mult(X0,rd(X0,X1)) = rd(X0,rd(X1,X0)),
inference(superposition,[status(thm)],[c_132,c_7524]) ).
cnf(c_8891,plain,
mult(mult(sP0_iProver_def,sP0_iProver_def),mult(sP0_iProver_def,sP0_iProver_def)) = rd(x1,x1),
inference(superposition,[status(thm)],[c_7982,c_52]) ).
cnf(c_8908,plain,
mult(mult(sP0_iProver_def,sP0_iProver_def),mult(sP0_iProver_def,sP0_iProver_def)) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_8891,c_77]) ).
cnf(c_8935,plain,
rd(sP0_iProver_def,mult(sP0_iProver_def,sP0_iProver_def)) = mult(sP0_iProver_def,sP0_iProver_def),
inference(superposition,[status(thm)],[c_8908,c_52]) ).
cnf(c_8936,plain,
ld(mult(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def) = mult(sP0_iProver_def,sP0_iProver_def),
inference(superposition,[status(thm)],[c_8908,c_50]) ).
cnf(c_8985,plain,
rd(ld(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def) = mult(sP0_iProver_def,sP0_iProver_def),
inference(superposition,[status(thm)],[c_8936,c_7128]) ).
cnf(c_9034,plain,
mult(mult(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def) = ld(sP0_iProver_def,sP0_iProver_def),
inference(superposition,[status(thm)],[c_8985,c_51]) ).
cnf(c_9238,plain,
mult(X0,rd(X0,mult(X1,X0))) = rd(X0,X1),
inference(superposition,[status(thm)],[c_8036,c_49]) ).
cnf(c_9241,plain,
rd(rd(X0,X1),rd(X0,mult(X1,X0))) = X0,
inference(superposition,[status(thm)],[c_8036,c_136]) ).
cnf(c_9319,plain,
mult(x1,ld(x1,sP0_iProver_def)) = mult(sP0_iProver_def,ld(sP0_iProver_def,sP0_iProver_def)),
inference(superposition,[status(thm)],[c_8111,c_49]) ).
cnf(c_9337,plain,
rd(mult(sP0_iProver_def,ld(sP0_iProver_def,sP0_iProver_def)),x1) = rd(sP0_iProver_def,x1),
inference(demodulation,[status(thm)],[c_5451,c_9319]) ).
cnf(c_9340,plain,
ld(x1,mult(x1,sP0_iProver_def)) = mult(sP0_iProver_def,ld(sP0_iProver_def,sP0_iProver_def)),
inference(demodulation,[status(thm)],[c_2689,c_9319]) ).
cnf(c_9435,plain,
mult(sP0_iProver_def,mult(sP0_iProver_def,sP0_iProver_def)) = rd(sP0_iProver_def,sP0_iProver_def),
inference(superposition,[status(thm)],[c_8935,c_9238]) ).
cnf(c_9871,plain,
ld(x1,rd(rd(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def)) = rd(ld(x1,mult(sP0_iProver_def,sP0_iProver_def)),sP0_iProver_def),
inference(superposition,[status(thm)],[c_9435,c_446]) ).
cnf(c_9877,plain,
mult(mult(sP0_iProver_def,sP0_iProver_def),rd(sP0_iProver_def,sP0_iProver_def)) = rd(rd(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def),
inference(superposition,[status(thm)],[c_9435,c_2881]) ).
cnf(c_10148,plain,
mult(ld(sP0_iProver_def,sP0_iProver_def),mult(ld(sP0_iProver_def,x0),sP0_iProver_def)) = ld(sP0_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_8247,c_50]) ).
cnf(c_12057,plain,
ld(rd(sP0_iProver_def,sP0_iProver_def),mult(x1,mult(ld(x1,x1),mult(sP0_iProver_def,sP0_iProver_def)))) = x1,
inference(superposition,[status(thm)],[c_2385,c_3836]) ).
cnf(c_12282,plain,
ld(rd(sP0_iProver_def,sP0_iProver_def),mult(x1,sP0_iProver_def)) = x1,
inference(light_normalisation,[status(thm)],[c_12057,c_2367,c_8908]) ).
cnf(c_12430,plain,
mult(rd(sP0_iProver_def,sP0_iProver_def),x1) = mult(x1,sP0_iProver_def),
inference(superposition,[status(thm)],[c_12282,c_49]) ).
cnf(c_12458,plain,
ld(x1,rd(rd(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def)) = rd(ld(x1,mult(x1,sP0_iProver_def)),x1),
inference(superposition,[status(thm)],[c_12430,c_2140]) ).
cnf(c_12463,plain,
rd(ld(x1,mult(sP0_iProver_def,sP0_iProver_def)),sP0_iProver_def) = rd(sP0_iProver_def,x1),
inference(light_normalisation,[status(thm)],[c_12458,c_9337,c_9340,c_9871]) ).
cnf(c_12914,plain,
mult(rd(ld(X0,X1),X1),mult(X0,mult(X1,X0))) = mult(X1,X0),
inference(light_normalisation,[status(thm)],[c_4568,c_7128]) ).
cnf(c_13006,plain,
mult(rd(ld(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def),rd(sP0_iProver_def,sP0_iProver_def)) = mult(sP0_iProver_def,sP0_iProver_def),
inference(superposition,[status(thm)],[c_9435,c_12914]) ).
cnf(c_13126,plain,
rd(rd(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def) = mult(sP0_iProver_def,sP0_iProver_def),
inference(light_normalisation,[status(thm)],[c_13006,c_8985,c_9877]) ).
cnf(c_13349,plain,
mult(mult(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def) = rd(sP0_iProver_def,sP0_iProver_def),
inference(superposition,[status(thm)],[c_13126,c_51]) ).
cnf(c_13370,plain,
ld(sP0_iProver_def,sP0_iProver_def) = rd(sP0_iProver_def,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_9034,c_13349]) ).
cnf(c_13382,plain,
mult(rd(sP0_iProver_def,sP0_iProver_def),mult(ld(sP0_iProver_def,x0),sP0_iProver_def)) = ld(sP0_iProver_def,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_10148,c_13370]) ).
cnf(c_14936,plain,
ld(x1,mult(sP0_iProver_def,sP0_iProver_def)) = mult(rd(sP0_iProver_def,x1),sP0_iProver_def),
inference(superposition,[status(thm)],[c_12463,c_51]) ).
cnf(c_14945,plain,
rd(mult(sP0_iProver_def,mult(sP0_iProver_def,sP0_iProver_def)),sP0_iProver_def) = mult(x1,rd(sP0_iProver_def,x1)),
inference(superposition,[status(thm)],[c_12463,c_335]) ).
cnf(c_14953,plain,
mult(x1,rd(sP0_iProver_def,x1)) = mult(sP0_iProver_def,sP0_iProver_def),
inference(light_normalisation,[status(thm)],[c_14945,c_9435,c_13126]) ).
cnf(c_15115,plain,
ld(x1,mult(sP0_iProver_def,sP0_iProver_def)) = rd(sP0_iProver_def,x1),
inference(superposition,[status(thm)],[c_14953,c_50]) ).
cnf(c_15146,plain,
mult(rd(sP0_iProver_def,x1),sP0_iProver_def) = rd(sP0_iProver_def,x1),
inference(demodulation,[status(thm)],[c_14936,c_15115]) ).
cnf(c_15230,plain,
rd(rd(sP0_iProver_def,rd(sP0_iProver_def,x1)),rd(sP0_iProver_def,rd(sP0_iProver_def,x1))) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_15146,c_9241]) ).
cnf(c_15231,plain,
mult(sP0_iProver_def,rd(sP0_iProver_def,rd(sP0_iProver_def,x1))) = rd(sP0_iProver_def,rd(sP0_iProver_def,x1)),
inference(superposition,[status(thm)],[c_15146,c_9238]) ).
cnf(c_15234,plain,
mult(sP0_iProver_def,mult(x1,sP0_iProver_def)) = mult(x1,sP0_iProver_def),
inference(light_normalisation,[status(thm)],[c_15231,c_5239]) ).
cnf(c_15235,plain,
rd(mult(x1,sP0_iProver_def),mult(x1,sP0_iProver_def)) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_15230,c_5239]) ).
cnf(c_15360,plain,
mult(mult(sP0_iProver_def,x1),rd(sP0_iProver_def,sP0_iProver_def)) = rd(mult(x1,sP0_iProver_def),sP0_iProver_def),
inference(superposition,[status(thm)],[c_15234,c_2881]) ).
cnf(c_15364,plain,
mult(x1,rd(sP0_iProver_def,sP0_iProver_def)) = rd(mult(x1,sP0_iProver_def),sP0_iProver_def),
inference(light_normalisation,[status(thm)],[c_15360,c_131]) ).
cnf(c_15434,plain,
mult(mult(x1,sP0_iProver_def),sP0_iProver_def) = rd(mult(x1,sP0_iProver_def),sP0_iProver_def),
inference(superposition,[status(thm)],[c_15235,c_8406]) ).
cnf(c_15435,plain,
mult(x1,rd(sP0_iProver_def,sP0_iProver_def)) = x1,
inference(light_normalisation,[status(thm)],[c_15434,c_2403,c_15364]) ).
cnf(c_15446,plain,
ld(x1,x1) = rd(sP0_iProver_def,sP0_iProver_def),
inference(superposition,[status(thm)],[c_15435,c_50]) ).
cnf(c_15457,plain,
ld(mult(x1,rd(rd(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def)),mult(sP0_iProver_def,x1)) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_15435,c_235]) ).
cnf(c_15468,plain,
mult(sP0_iProver_def,sP0_iProver_def) = rd(sP0_iProver_def,sP0_iProver_def),
inference(light_normalisation,[status(thm)],[c_15446,c_2367]) ).
cnf(c_15474,plain,
mult(sP0_iProver_def,sP0_iProver_def) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_15457,c_131,c_2266,c_2367,c_13126]) ).
cnf(c_15483,plain,
mult(mult(sP0_iProver_def,sP0_iProver_def),mult(ld(sP0_iProver_def,x0),sP0_iProver_def)) = ld(sP0_iProver_def,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_13382,c_15468]) ).
cnf(c_15579,plain,
mult(sP0_iProver_def,mult(sP0_iProver_def,mult(X0,sP0_iProver_def))) = mult(mult(sP0_iProver_def,X0),sP0_iProver_def),
inference(superposition,[status(thm)],[c_15474,c_53]) ).
cnf(c_15580,plain,
rd(sP0_iProver_def,sP0_iProver_def) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_15474,c_52]) ).
cnf(c_15989,plain,
mult(sP0_iProver_def,mult(ld(sP0_iProver_def,x0),sP0_iProver_def)) = ld(sP0_iProver_def,sP1_iProver_def),
inference(light_normalisation,[status(thm)],[c_15483,c_15474]) ).
cnf(c_16017,plain,
ld(mult(x0,rd(sP0_iProver_def,sP0_iProver_def)),ld(sP0_iProver_def,sP1_iProver_def)) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_15989,c_3836]) ).
cnf(c_16021,plain,
ld(sP1_iProver_def,ld(sP0_iProver_def,sP1_iProver_def)) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_16017,c_78,c_15580]) ).
cnf(c_16147,plain,
ld(sP0_iProver_def,sP1_iProver_def) = mult(sP1_iProver_def,sP0_iProver_def),
inference(superposition,[status(thm)],[c_16021,c_49]) ).
cnf(c_16155,plain,
ld(mult(sP0_iProver_def,sP1_iProver_def),x0) = rd(sP0_iProver_def,sP0_iProver_def),
inference(superposition,[status(thm)],[c_16021,c_7680]) ).
cnf(c_16156,plain,
ld(mult(sP0_iProver_def,sP1_iProver_def),x0) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_16155,c_15580]) ).
cnf(c_16191,plain,
mult(sP0_iProver_def,mult(sP1_iProver_def,sP0_iProver_def)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_16147,c_49]) ).
cnf(c_16217,plain,
mult(mult(sP0_iProver_def,sP1_iProver_def),sP0_iProver_def) = x0,
inference(superposition,[status(thm)],[c_16156,c_49]) ).
cnf(c_16259,plain,
mult(mult(sP0_iProver_def,sP1_iProver_def),sP0_iProver_def) = mult(sP0_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_16191,c_15579]) ).
cnf(c_16260,plain,
mult(sP0_iProver_def,sP1_iProver_def) = x0,
inference(light_normalisation,[status(thm)],[c_16259,c_16217]) ).
cnf(c_16292,plain,
x0 = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_16217,c_78,c_16260]) ).
cnf(c_16358,plain,
sP1_iProver_def != sP1_iProver_def,
inference(demodulation,[status(thm)],[c_79,c_16292]) ).
cnf(c_16359,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_16358]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP660-11 : TPTP v8.2.0. Released v8.1.0.
% 0.03/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 20 10:43:54 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.46 Running UEQ theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_j12_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.69/1.68 % SZS status Started for theBenchmark.p
% 7.69/1.68 % SZS status Unsatisfiable for theBenchmark.p
% 7.69/1.68
% 7.69/1.68 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.69/1.68
% 7.69/1.68 ------ iProver source info
% 7.69/1.68
% 7.69/1.68 git: date: 2024-06-12 09:56:46 +0000
% 7.69/1.68 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 7.69/1.68 git: non_committed_changes: false
% 7.69/1.68
% 7.69/1.68 ------ Parsing...successful
% 7.69/1.68
% 7.69/1.68
% 7.69/1.68
% 7.69/1.68 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 7.69/1.68
% 7.69/1.68 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.69/1.68
% 7.69/1.68 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 7.69/1.68 ------ Proving...
% 7.69/1.68 ------ Problem Properties
% 7.69/1.68
% 7.69/1.68
% 7.69/1.68 clauses 8
% 7.69/1.68 conjectures 1
% 7.69/1.68 EPR 1
% 7.69/1.68 Horn 8
% 7.69/1.68 unary 8
% 7.69/1.68 binary 0
% 7.69/1.68 lits 8
% 7.69/1.68 lits eq 8
% 7.69/1.68 fd_pure 0
% 7.69/1.68 fd_pseudo 0
% 7.69/1.68 fd_cond 0
% 7.69/1.68 fd_pseudo_cond 0
% 7.69/1.68 AC symbols 0
% 7.69/1.68
% 7.69/1.68 ------ Input Options Time Limit: Unbounded
% 7.69/1.68
% 7.69/1.68
% 7.69/1.68 ------
% 7.69/1.68 Current options:
% 7.69/1.68 ------
% 7.69/1.68
% 7.69/1.68
% 7.69/1.68
% 7.69/1.68
% 7.69/1.68 ------ Proving...
% 7.69/1.68
% 7.69/1.68
% 7.69/1.68 % SZS status Unsatisfiable for theBenchmark.p
% 7.69/1.68
% 7.69/1.68 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.69/1.69
% 7.69/1.69
%------------------------------------------------------------------------------