TSTP Solution File: GRP655-14 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP655-14 : TPTP v8.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n028.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 07:01:33 EDT 2024
% Result : Unsatisfiable 23.33s 3.66s
% Output : CNFRefutation 23.33s
% 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),X1) = mult(X0,mult(X1,mult(X2,X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
cnf(c_54,negated_conjecture,
mult(ld(x1,x1),x0) != x0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
cnf(c_77,plain,
ld(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_130,plain,
mult(x1,sP0_iProver_def) = x1,
inference(superposition,[status(thm)],[c_77,c_49]) ).
cnf(c_133,plain,
ld(sP0_iProver_def,sP1_iProver_def) = x0,
inference(superposition,[status(thm)],[c_78,c_50]) ).
cnf(c_138,plain,
ld(rd(X0,X1),X0) = X1,
inference(superposition,[status(thm)],[c_51,c_50]) ).
cnf(c_142,plain,
rd(X0,ld(X1,X0)) = X1,
inference(superposition,[status(thm)],[c_49,c_52]) ).
cnf(c_143,plain,
rd(sP1_iProver_def,x0) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_78,c_52]) ).
cnf(c_178,plain,
mult(X0,mult(X1,mult(ld(mult(X0,X1),X2),X1))) = mult(X2,X1),
inference(superposition,[status(thm)],[c_49,c_53]) ).
cnf(c_180,plain,
mult(X0,mult(ld(X0,X1),mult(X2,ld(X0,X1)))) = mult(mult(X1,X2),ld(X0,X1)),
inference(superposition,[status(thm)],[c_49,c_53]) ).
cnf(c_181,plain,
mult(rd(X0,X1),mult(X1,mult(X2,X1))) = mult(mult(X0,X2),X1),
inference(superposition,[status(thm)],[c_51,c_53]) ).
cnf(c_183,plain,
mult(sP0_iProver_def,mult(x0,mult(X0,x0))) = mult(mult(sP1_iProver_def,X0),x0),
inference(superposition,[status(thm)],[c_78,c_53]) ).
cnf(c_184,plain,
mult(x1,mult(sP0_iProver_def,mult(X0,sP0_iProver_def))) = mult(mult(x1,X0),sP0_iProver_def),
inference(superposition,[status(thm)],[c_130,c_53]) ).
cnf(c_186,plain,
rd(mult(X0,mult(X1,mult(X2,X1))),X1) = mult(mult(X0,X1),X2),
inference(superposition,[status(thm)],[c_53,c_52]) ).
cnf(c_187,plain,
ld(mult(mult(X0,X1),X2),mult(X0,mult(X1,mult(X2,X1)))) = X1,
inference(superposition,[status(thm)],[c_53,c_50]) ).
cnf(c_188,plain,
mult(mult(X0,mult(X1,mult(X2,X1))),X2) = mult(mult(X0,X1),mult(X2,mult(X1,X2))),
inference(superposition,[status(thm)],[c_53,c_53]) ).
cnf(c_198,plain,
mult(mult(sP1_iProver_def,sP0_iProver_def),x0) = mult(sP0_iProver_def,mult(x0,sP1_iProver_def)),
inference(superposition,[status(thm)],[c_78,c_183]) ).
cnf(c_201,plain,
ld(sP0_iProver_def,mult(mult(sP1_iProver_def,X0),x0)) = mult(x0,mult(X0,x0)),
inference(superposition,[status(thm)],[c_183,c_50]) ).
cnf(c_210,plain,
mult(mult(sP0_iProver_def,mult(x0,sP1_iProver_def)),sP0_iProver_def) = mult(sP1_iProver_def,mult(sP0_iProver_def,mult(x0,sP0_iProver_def))),
inference(superposition,[status(thm)],[c_198,c_53]) ).
cnf(c_227,plain,
mult(mult(x1,rd(X0,sP0_iProver_def)),sP0_iProver_def) = mult(x1,mult(sP0_iProver_def,X0)),
inference(superposition,[status(thm)],[c_51,c_184]) ).
cnf(c_229,plain,
mult(mult(x1,x1),sP0_iProver_def) = mult(x1,mult(sP0_iProver_def,x1)),
inference(superposition,[status(thm)],[c_130,c_184]) ).
cnf(c_231,plain,
rd(mult(mult(x1,X0),sP0_iProver_def),mult(sP0_iProver_def,mult(X0,sP0_iProver_def))) = x1,
inference(superposition,[status(thm)],[c_184,c_52]) ).
cnf(c_232,plain,
ld(x1,mult(mult(x1,X0),sP0_iProver_def)) = mult(sP0_iProver_def,mult(X0,sP0_iProver_def)),
inference(superposition,[status(thm)],[c_184,c_50]) ).
cnf(c_299,plain,
mult(x0,mult(ld(sP1_iProver_def,X0),x0)) = ld(sP0_iProver_def,mult(X0,x0)),
inference(superposition,[status(thm)],[c_49,c_201]) ).
cnf(c_316,plain,
rd(mult(x1,mult(sP0_iProver_def,X0)),sP0_iProver_def) = mult(x1,rd(X0,sP0_iProver_def)),
inference(superposition,[status(thm)],[c_227,c_52]) ).
cnf(c_337,plain,
rd(x1,mult(sP0_iProver_def,mult(sP0_iProver_def,sP0_iProver_def))) = x1,
inference(superposition,[status(thm)],[c_130,c_231]) ).
cnf(c_350,plain,
mult(sP0_iProver_def,mult(sP0_iProver_def,sP0_iProver_def)) = ld(x1,x1),
inference(superposition,[status(thm)],[c_337,c_138]) ).
cnf(c_352,plain,
mult(sP0_iProver_def,mult(sP0_iProver_def,sP0_iProver_def)) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_350,c_77]) ).
cnf(c_361,plain,
ld(sP0_iProver_def,sP0_iProver_def) = mult(sP0_iProver_def,sP0_iProver_def),
inference(superposition,[status(thm)],[c_352,c_50]) ).
cnf(c_427,plain,
rd(ld(sP0_iProver_def,mult(X0,x0)),mult(ld(sP1_iProver_def,X0),x0)) = x0,
inference(superposition,[status(thm)],[c_299,c_52]) ).
cnf(c_443,plain,
mult(x1,rd(ld(sP0_iProver_def,X0),sP0_iProver_def)) = rd(mult(x1,X0),sP0_iProver_def),
inference(superposition,[status(thm)],[c_49,c_316]) ).
cnf(c_536,plain,
rd(x0,mult(ld(sP1_iProver_def,sP0_iProver_def),x0)) = x0,
inference(superposition,[status(thm)],[c_50,c_427]) ).
cnf(c_550,plain,
mult(ld(sP1_iProver_def,sP0_iProver_def),x0) = ld(x0,x0),
inference(superposition,[status(thm)],[c_536,c_138]) ).
cnf(c_624,plain,
ld(x1,rd(mult(x1,X0),sP0_iProver_def)) = rd(ld(sP0_iProver_def,X0),sP0_iProver_def),
inference(superposition,[status(thm)],[c_443,c_50]) ).
cnf(c_1327,plain,
mult(X0,mult(ld(mult(X1,X0),X2),X0)) = ld(X1,mult(X2,X0)),
inference(superposition,[status(thm)],[c_178,c_50]) ).
cnf(c_1440,plain,
mult(mult(X0,sP0_iProver_def),sP0_iProver_def) = mult(rd(X0,sP0_iProver_def),sP0_iProver_def),
inference(superposition,[status(thm)],[c_352,c_181]) ).
cnf(c_1442,plain,
mult(mult(X0,rd(X1,X2)),X2) = mult(rd(X0,X2),mult(X2,X1)),
inference(superposition,[status(thm)],[c_51,c_181]) ).
cnf(c_1445,plain,
mult(rd(X0,sP0_iProver_def),mult(sP0_iProver_def,x1)) = mult(mult(X0,x1),sP0_iProver_def),
inference(superposition,[status(thm)],[c_130,c_181]) ).
cnf(c_1458,plain,
mult(rd(X0,x0),mult(x0,ld(x0,x0))) = mult(mult(X0,ld(sP1_iProver_def,sP0_iProver_def)),x0),
inference(superposition,[status(thm)],[c_550,c_181]) ).
cnf(c_1462,plain,
rd(mult(mult(X0,X1),X2),mult(X2,mult(X1,X2))) = rd(X0,X2),
inference(superposition,[status(thm)],[c_181,c_52]) ).
cnf(c_1463,plain,
ld(rd(X0,X1),mult(mult(X0,X2),X1)) = mult(X1,mult(X2,X1)),
inference(superposition,[status(thm)],[c_181,c_50]) ).
cnf(c_1465,plain,
mult(mult(X0,sP0_iProver_def),sP0_iProver_def) = X0,
inference(demodulation,[status(thm)],[c_1440,c_51]) ).
cnf(c_1466,plain,
mult(mult(X0,ld(sP1_iProver_def,sP0_iProver_def)),x0) = X0,
inference(demodulation,[status(thm)],[c_1458,c_49,c_51]) ).
cnf(c_1514,plain,
mult(mult(X0,sP0_iProver_def),mult(sP0_iProver_def,mult(X1,sP0_iProver_def))) = mult(mult(X0,X1),sP0_iProver_def),
inference(superposition,[status(thm)],[c_1465,c_53]) ).
cnf(c_1515,plain,
mult(X0,sP0_iProver_def) = rd(X0,sP0_iProver_def),
inference(superposition,[status(thm)],[c_1465,c_52]) ).
cnf(c_1517,plain,
mult(mult(X0,mult(X1,sP0_iProver_def)),sP0_iProver_def) = mult(rd(X0,sP0_iProver_def),mult(sP0_iProver_def,X1)),
inference(superposition,[status(thm)],[c_1465,c_181]) ).
cnf(c_1523,plain,
mult(mult(x1,mult(X0,sP0_iProver_def)),sP0_iProver_def) = mult(x1,mult(sP0_iProver_def,X0)),
inference(superposition,[status(thm)],[c_1465,c_184]) ).
cnf(c_1525,plain,
mult(mult(X0,mult(X1,sP0_iProver_def)),sP0_iProver_def) = mult(mult(X0,sP0_iProver_def),mult(sP0_iProver_def,X1)),
inference(demodulation,[status(thm)],[c_1517,c_1515]) ).
cnf(c_1534,plain,
ld(x1,mult(mult(x1,X0),sP0_iProver_def)) = rd(ld(sP0_iProver_def,X0),sP0_iProver_def),
inference(demodulation,[status(thm)],[c_624,c_1515]) ).
cnf(c_1539,plain,
ld(x1,mult(mult(x1,X0),sP0_iProver_def)) = mult(ld(sP0_iProver_def,X0),sP0_iProver_def),
inference(demodulation,[status(thm)],[c_1534,c_1515]) ).
cnf(c_1540,plain,
mult(ld(sP0_iProver_def,X0),sP0_iProver_def) = mult(sP0_iProver_def,mult(X0,sP0_iProver_def)),
inference(demodulation,[status(thm)],[c_1539,c_232]) ).
cnf(c_1597,plain,
mult(X0,ld(sP1_iProver_def,sP0_iProver_def)) = rd(X0,x0),
inference(superposition,[status(thm)],[c_1466,c_52]) ).
cnf(c_1657,plain,
ld(X0,rd(X0,x0)) = ld(sP1_iProver_def,sP0_iProver_def),
inference(superposition,[status(thm)],[c_1597,c_50]) ).
cnf(c_1816,plain,
mult(sP0_iProver_def,mult(mult(sP0_iProver_def,X0),sP0_iProver_def)) = mult(X0,sP0_iProver_def),
inference(superposition,[status(thm)],[c_50,c_1540]) ).
cnf(c_1817,plain,
mult(sP0_iProver_def,mult(sP1_iProver_def,sP0_iProver_def)) = mult(x0,sP0_iProver_def),
inference(superposition,[status(thm)],[c_133,c_1540]) ).
cnf(c_1827,plain,
mult(mult(sP0_iProver_def,mult(X0,sP0_iProver_def)),sP0_iProver_def) = ld(sP0_iProver_def,X0),
inference(superposition,[status(thm)],[c_1540,c_1465]) ).
cnf(c_1831,plain,
mult(mult(sP0_iProver_def,sP0_iProver_def),mult(sP0_iProver_def,X0)) = ld(sP0_iProver_def,X0),
inference(demodulation,[status(thm)],[c_1827,c_1525]) ).
cnf(c_1848,plain,
mult(rd(X0,sP0_iProver_def),mult(x0,sP0_iProver_def)) = mult(mult(X0,sP1_iProver_def),sP0_iProver_def),
inference(superposition,[status(thm)],[c_1817,c_181]) ).
cnf(c_1852,plain,
mult(mult(X0,sP0_iProver_def),mult(x0,sP0_iProver_def)) = mult(mult(X0,sP1_iProver_def),sP0_iProver_def),
inference(demodulation,[status(thm)],[c_1848,c_1515]) ).
cnf(c_1936,plain,
mult(mult(X0,mult(sP0_iProver_def,X1)),sP0_iProver_def) = mult(rd(X0,sP0_iProver_def),mult(X1,sP0_iProver_def)),
inference(superposition,[status(thm)],[c_1816,c_181]) ).
cnf(c_1941,plain,
mult(mult(X0,mult(sP0_iProver_def,X1)),sP0_iProver_def) = mult(mult(X0,sP0_iProver_def),mult(X1,sP0_iProver_def)),
inference(demodulation,[status(thm)],[c_1936,c_1515]) ).
cnf(c_2046,plain,
mult(mult(sP0_iProver_def,sP0_iProver_def),sP1_iProver_def) = ld(sP0_iProver_def,x0),
inference(superposition,[status(thm)],[c_78,c_1831]) ).
cnf(c_2054,plain,
rd(ld(sP0_iProver_def,X0),mult(sP0_iProver_def,X0)) = mult(sP0_iProver_def,sP0_iProver_def),
inference(superposition,[status(thm)],[c_1831,c_52]) ).
cnf(c_2215,plain,
rd(X0,mult(sP0_iProver_def,mult(sP0_iProver_def,X0))) = mult(sP0_iProver_def,sP0_iProver_def),
inference(superposition,[status(thm)],[c_50,c_2054]) ).
cnf(c_2216,plain,
rd(x0,mult(sP0_iProver_def,sP1_iProver_def)) = mult(sP0_iProver_def,sP0_iProver_def),
inference(superposition,[status(thm)],[c_133,c_2054]) ).
cnf(c_2359,plain,
mult(mult(X0,X1),ld(X1,X0)) = mult(X1,mult(ld(X1,X0),X0)),
inference(superposition,[status(thm)],[c_49,c_180]) ).
cnf(c_2689,plain,
mult(mult(X0,X1),rd(X2,X1)) = rd(mult(X0,mult(X1,X2)),X1),
inference(superposition,[status(thm)],[c_51,c_186]) ).
cnf(c_2899,plain,
ld(mult(mult(X0,sP0_iProver_def),mult(sP0_iProver_def,X1)),mult(X0,mult(X1,sP0_iProver_def))) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_1816,c_187]) ).
cnf(c_2900,plain,
ld(mult(mult(X0,sP0_iProver_def),sP1_iProver_def),mult(X0,mult(x0,sP0_iProver_def))) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_1817,c_187]) ).
cnf(c_2903,plain,
ld(mult(mult(X0,X1),rd(X2,X1)),mult(X0,mult(X1,X2))) = X1,
inference(superposition,[status(thm)],[c_51,c_187]) ).
cnf(c_2920,plain,
ld(mult(mult(X0,sP0_iProver_def),mult(X1,sP0_iProver_def)),mult(X0,mult(sP0_iProver_def,X1))) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_1465,c_187]) ).
cnf(c_3698,plain,
mult(mult(X0,sP0_iProver_def),mult(sP0_iProver_def,x1)) = mult(mult(X0,x1),sP0_iProver_def),
inference(light_normalisation,[status(thm)],[c_1445,c_1515]) ).
cnf(c_3714,plain,
rd(mult(mult(X0,x1),sP0_iProver_def),mult(sP0_iProver_def,x1)) = mult(X0,sP0_iProver_def),
inference(superposition,[status(thm)],[c_3698,c_52]) ).
cnf(c_4861,plain,
ld(mult(mult(rd(X0,mult(x0,sP0_iProver_def)),sP0_iProver_def),sP1_iProver_def),X0) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_51,c_2900]) ).
cnf(c_5155,plain,
rd(mult(X0,sP0_iProver_def),mult(sP0_iProver_def,x1)) = mult(rd(X0,x1),sP0_iProver_def),
inference(superposition,[status(thm)],[c_51,c_3714]) ).
cnf(c_5741,plain,
mult(mult(rd(X0,mult(x0,sP0_iProver_def)),sP0_iProver_def),sP1_iProver_def) = rd(X0,sP0_iProver_def),
inference(superposition,[status(thm)],[c_4861,c_142]) ).
cnf(c_5742,plain,
mult(mult(rd(X0,mult(x0,sP0_iProver_def)),sP0_iProver_def),sP1_iProver_def) = mult(X0,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_5741,c_1515]) ).
cnf(c_5830,plain,
mult(rd(mult(x1,mult(X0,sP0_iProver_def)),x1),sP0_iProver_def) = rd(mult(x1,mult(sP0_iProver_def,X0)),mult(sP0_iProver_def,x1)),
inference(superposition,[status(thm)],[c_1523,c_5155]) ).
cnf(c_6191,plain,
mult(rd(X0,mult(x0,sP0_iProver_def)),sP0_iProver_def) = rd(mult(X0,sP0_iProver_def),sP1_iProver_def),
inference(superposition,[status(thm)],[c_5742,c_52]) ).
cnf(c_7010,plain,
mult(sP0_iProver_def,mult(sP1_iProver_def,mult(sP0_iProver_def,mult(x0,sP0_iProver_def)))) = mult(mult(x0,sP1_iProver_def),sP0_iProver_def),
inference(superposition,[status(thm)],[c_210,c_1816]) ).
cnf(c_7156,plain,
ld(rd(X0,X1),mult(X2,X1)) = mult(X1,mult(ld(X0,X2),X1)),
inference(superposition,[status(thm)],[c_51,c_1327]) ).
cnf(c_7181,plain,
ld(mult(X0,sP0_iProver_def),mult(X1,sP0_iProver_def)) = mult(sP0_iProver_def,mult(ld(X0,X1),sP0_iProver_def)),
inference(superposition,[status(thm)],[c_1465,c_1327]) ).
cnf(c_12237,plain,
rd(mult(x1,mult(sP0_iProver_def,x1)),mult(sP0_iProver_def,mult(x1,sP0_iProver_def))) = rd(x1,sP0_iProver_def),
inference(superposition,[status(thm)],[c_229,c_1462]) ).
cnf(c_12398,plain,
mult(mult(mult(x1,x1),rd(sP0_iProver_def,x1)),sP0_iProver_def) = x1,
inference(demodulation,[status(thm)],[c_12237,c_130,c_1515,c_2689,c_5830]) ).
cnf(c_12907,plain,
mult(mult(x1,x1),rd(sP0_iProver_def,x1)) = mult(x1,sP0_iProver_def),
inference(superposition,[status(thm)],[c_12398,c_1465]) ).
cnf(c_12912,plain,
mult(mult(x1,x1),rd(sP0_iProver_def,x1)) = x1,
inference(demodulation,[status(thm)],[c_12907,c_130]) ).
cnf(c_13294,plain,
mult(rd(sP0_iProver_def,x1),mult(x1,rd(sP0_iProver_def,x1))) = ld(rd(x1,rd(sP0_iProver_def,x1)),x1),
inference(superposition,[status(thm)],[c_12912,c_1463]) ).
cnf(c_13362,plain,
mult(rd(sP0_iProver_def,x1),mult(x1,rd(sP0_iProver_def,x1))) = rd(sP0_iProver_def,x1),
inference(demodulation,[status(thm)],[c_13294,c_138]) ).
cnf(c_13556,plain,
mult(rd(X0,rd(sP0_iProver_def,x1)),rd(sP0_iProver_def,x1)) = mult(mult(X0,x1),rd(sP0_iProver_def,x1)),
inference(superposition,[status(thm)],[c_13362,c_181]) ).
cnf(c_13559,plain,
mult(mult(X0,x1),rd(sP0_iProver_def,x1)) = X0,
inference(demodulation,[status(thm)],[c_13556,c_51]) ).
cnf(c_13590,plain,
mult(X0,rd(sP0_iProver_def,x1)) = rd(X0,x1),
inference(superposition,[status(thm)],[c_51,c_13559]) ).
cnf(c_13598,plain,
rd(X0,rd(sP0_iProver_def,x1)) = mult(X0,x1),
inference(superposition,[status(thm)],[c_13559,c_52]) ).
cnf(c_13677,plain,
rd(rd(sP0_iProver_def,x1),rd(sP0_iProver_def,x1)) = mult(sP0_iProver_def,sP0_iProver_def),
inference(superposition,[status(thm)],[c_13590,c_2215]) ).
cnf(c_13691,plain,
mult(sP0_iProver_def,sP0_iProver_def) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_13677,c_51,c_13598]) ).
cnf(c_13737,plain,
rd(x0,mult(sP0_iProver_def,sP1_iProver_def)) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_2216,c_13691]) ).
cnf(c_13738,plain,
rd(ld(sP0_iProver_def,X0),mult(sP0_iProver_def,X0)) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_2054,c_13691]) ).
cnf(c_13741,plain,
ld(sP0_iProver_def,x0) = mult(sP0_iProver_def,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_2046,c_13691]) ).
cnf(c_13742,plain,
mult(sP0_iProver_def,mult(sP0_iProver_def,X0)) = ld(sP0_iProver_def,X0),
inference(demodulation,[status(thm)],[c_1831,c_13691]) ).
cnf(c_13745,plain,
ld(sP0_iProver_def,sP0_iProver_def) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_361,c_13691]) ).
cnf(c_20585,plain,
mult(mult(X0,mult(X1,sP0_iProver_def)),mult(sP0_iProver_def,mult(mult(X1,sP0_iProver_def),sP0_iProver_def))) = mult(mult(X0,mult(mult(X1,X1),sP0_iProver_def)),sP0_iProver_def),
inference(superposition,[status(thm)],[c_1514,c_188]) ).
cnf(c_20607,plain,
mult(mult(X0,mult(X1,sP0_iProver_def)),mult(sP0_iProver_def,X1)) = mult(mult(X0,sP0_iProver_def),mult(sP0_iProver_def,mult(X1,X1))),
inference(demodulation,[status(thm)],[c_20585,c_1465,c_1525]) ).
cnf(c_23876,plain,
mult(x0,mult(ld(x0,sP0_iProver_def),sP0_iProver_def)) = mult(sP1_iProver_def,ld(x0,sP0_iProver_def)),
inference(superposition,[status(thm)],[c_78,c_2359]) ).
cnf(c_24085,plain,
mult(sP1_iProver_def,mult(ld(sP1_iProver_def,sP0_iProver_def),sP0_iProver_def)) = rd(mult(sP0_iProver_def,sP1_iProver_def),x0),
inference(superposition,[status(thm)],[c_2359,c_1597]) ).
cnf(c_24591,plain,
ld(x0,mult(sP1_iProver_def,ld(x0,sP0_iProver_def))) = mult(ld(x0,sP0_iProver_def),sP0_iProver_def),
inference(superposition,[status(thm)],[c_23876,c_50]) ).
cnf(c_24654,plain,
rd(rd(mult(sP0_iProver_def,sP1_iProver_def),x0),mult(ld(sP1_iProver_def,sP0_iProver_def),sP0_iProver_def)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_24085,c_52]) ).
cnf(c_26905,plain,
ld(mult(X0,sP0_iProver_def),mult(mult(X0,mult(X1,sP0_iProver_def)),mult(sP0_iProver_def,X1))) = mult(mult(sP0_iProver_def,X1),mult(sP0_iProver_def,mult(sP0_iProver_def,X1))),
inference(superposition,[status(thm)],[c_2899,c_1327]) ).
cnf(c_26907,plain,
mult(mult(sP0_iProver_def,X0),ld(sP0_iProver_def,X0)) = mult(sP0_iProver_def,mult(X0,X0)),
inference(demodulation,[status(thm)],[c_26905,c_50,c_20607,c_13742]) ).
cnf(c_26917,plain,
mult(sP0_iProver_def,mult(x0,x0)) = mult(sP1_iProver_def,ld(sP0_iProver_def,x0)),
inference(superposition,[status(thm)],[c_78,c_26907]) ).
cnf(c_26937,plain,
mult(mult(sP0_iProver_def,sP1_iProver_def),x0) = mult(sP0_iProver_def,mult(sP1_iProver_def,sP1_iProver_def)),
inference(superposition,[status(thm)],[c_133,c_26907]) ).
cnf(c_26982,plain,
mult(sP0_iProver_def,mult(x0,x0)) = mult(sP1_iProver_def,mult(sP0_iProver_def,sP1_iProver_def)),
inference(demodulation,[status(thm)],[c_26917,c_13741]) ).
cnf(c_27021,plain,
rd(mult(sP0_iProver_def,mult(sP1_iProver_def,sP1_iProver_def)),x0) = mult(sP0_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_26937,c_52]) ).
cnf(c_27057,plain,
rd(mult(sP0_iProver_def,mult(x0,x0)),mult(sP0_iProver_def,sP1_iProver_def)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_26982,c_52]) ).
cnf(c_29383,plain,
mult(X0,mult(ld(X1,rd(X1,X0)),X0)) = X0,
inference(superposition,[status(thm)],[c_7156,c_50]) ).
cnf(c_29806,plain,
mult(ld(X0,rd(X0,X1)),X1) = ld(X1,X1),
inference(superposition,[status(thm)],[c_29383,c_50]) ).
cnf(c_29817,plain,
mult(mult(X0,ld(X1,rd(X1,X2))),X2) = mult(rd(X0,X2),X2),
inference(superposition,[status(thm)],[c_29383,c_181]) ).
cnf(c_29899,plain,
mult(mult(X0,ld(X1,rd(X1,X2))),X2) = X0,
inference(demodulation,[status(thm)],[c_29817,c_51]) ).
cnf(c_30499,plain,
mult(X0,ld(X1,rd(X1,X2))) = rd(X0,X2),
inference(superposition,[status(thm)],[c_29899,c_52]) ).
cnf(c_30512,plain,
ld(X0,mult(X0,mult(ld(X1,rd(X1,X2)),mult(X2,ld(X1,rd(X1,X2)))))) = ld(X1,rd(X1,X2)),
inference(superposition,[status(thm)],[c_29899,c_187]) ).
cnf(c_30513,plain,
mult(X0,mult(ld(X1,rd(X1,X2)),mult(X2,ld(X1,rd(X1,X2))))) = mult(X0,ld(X1,rd(X1,X2))),
inference(superposition,[status(thm)],[c_29899,c_53]) ).
cnf(c_30721,plain,
mult(X0,mult(ld(X1,rd(X1,X2)),rd(X2,X2))) = rd(X0,X2),
inference(demodulation,[status(thm)],[c_30513,c_30499]) ).
cnf(c_30722,plain,
ld(X0,rd(X0,X1)) = ld(X2,rd(X2,X1)),
inference(demodulation,[status(thm)],[c_30512,c_30499,c_30721]) ).
cnf(c_30723,plain,
ld(X0,rd(X0,X1)) = sP2_iProver_def(X1),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_30722]) ).
cnf(c_30772,plain,
mult(sP2_iProver_def(X0),X0) = ld(X0,X0),
inference(demodulation,[status(thm)],[c_29806,c_30723]) ).
cnf(c_30774,plain,
ld(sP1_iProver_def,sP0_iProver_def) = sP2_iProver_def(x0),
inference(demodulation,[status(thm)],[c_1657,c_30723]) ).
cnf(c_30806,plain,
rd(rd(mult(sP0_iProver_def,sP1_iProver_def),x0),mult(sP2_iProver_def(x0),sP0_iProver_def)) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_24654,c_30774]) ).
cnf(c_32791,plain,
ld(mult(X0,X1),X0) = sP2_iProver_def(X1),
inference(superposition,[status(thm)],[c_52,c_30723]) ).
cnf(c_32792,plain,
sP2_iProver_def(ld(X0,X1)) = ld(X1,X0),
inference(superposition,[status(thm)],[c_142,c_30723]) ).
cnf(c_32807,plain,
sP2_iProver_def(mult(sP0_iProver_def,sP1_iProver_def)) = ld(x0,sP0_iProver_def),
inference(superposition,[status(thm)],[c_13737,c_30723]) ).
cnf(c_32836,plain,
ld(mult(sP0_iProver_def,mult(x0,x0)),sP1_iProver_def) = sP2_iProver_def(mult(sP0_iProver_def,sP1_iProver_def)),
inference(superposition,[status(thm)],[c_27057,c_30723]) ).
cnf(c_32840,plain,
mult(X0,sP2_iProver_def(X1)) = rd(X0,X1),
inference(superposition,[status(thm)],[c_30723,c_49]) ).
cnf(c_32881,plain,
ld(mult(sP0_iProver_def,mult(x0,x0)),sP1_iProver_def) = ld(x0,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_32836,c_32807]) ).
cnf(c_34067,plain,
rd(X0,sP2_iProver_def(X1)) = mult(X0,X1),
inference(superposition,[status(thm)],[c_32791,c_142]) ).
cnf(c_34218,plain,
ld(X0,mult(X0,X1)) = sP2_iProver_def(sP2_iProver_def(X1)),
inference(superposition,[status(thm)],[c_32791,c_32792]) ).
cnf(c_34225,plain,
sP2_iProver_def(sP2_iProver_def(X0)) = X0,
inference(demodulation,[status(thm)],[c_34218,c_50]) ).
cnf(c_34230,plain,
ld(sP2_iProver_def(X0),sP2_iProver_def(X0)) = mult(X0,sP2_iProver_def(X0)),
inference(superposition,[status(thm)],[c_34225,c_30772]) ).
cnf(c_34231,plain,
ld(sP2_iProver_def(X0),sP2_iProver_def(X0)) = rd(X0,X0),
inference(demodulation,[status(thm)],[c_34230,c_32840]) ).
cnf(c_34242,plain,
mult(X0,ld(X1,X2)) = rd(X0,ld(X2,X1)),
inference(superposition,[status(thm)],[c_32792,c_32840]) ).
cnf(c_34266,plain,
mult(mult(X0,X1),rd(sP2_iProver_def(X2),X1)) = rd(mult(X0,rd(X1,X2)),X1),
inference(superposition,[status(thm)],[c_32840,c_2689]) ).
cnf(c_35015,plain,
mult(sP2_iProver_def(X0),rd(X0,X0)) = sP2_iProver_def(X0),
inference(superposition,[status(thm)],[c_34231,c_49]) ).
cnf(c_35095,plain,
mult(rd(sP2_iProver_def(X0),X0),mult(X0,X0)) = mult(sP2_iProver_def(X0),X0),
inference(superposition,[status(thm)],[c_35015,c_1442]) ).
cnf(c_35097,plain,
mult(rd(sP2_iProver_def(X0),X0),mult(X0,X0)) = ld(X0,X0),
inference(demodulation,[status(thm)],[c_35095,c_30772]) ).
cnf(c_40983,plain,
mult(rd(X0,sP2_iProver_def(X0)),mult(sP2_iProver_def(X0),sP2_iProver_def(X0))) = ld(sP2_iProver_def(X0),sP2_iProver_def(X0)),
inference(superposition,[status(thm)],[c_34225,c_35097]) ).
cnf(c_41025,plain,
rd(mult(X0,rd(X0,X0)),X0) = rd(X0,X0),
inference(demodulation,[status(thm)],[c_40983,c_32840,c_34067,c_34231,c_34266]) ).
cnf(c_41071,plain,
mult(rd(X0,X0),X0) = mult(X0,rd(X0,X0)),
inference(superposition,[status(thm)],[c_41025,c_51]) ).
cnf(c_41109,plain,
mult(X0,rd(X0,X0)) = X0,
inference(demodulation,[status(thm)],[c_41071,c_51]) ).
cnf(c_41177,plain,
ld(X0,X0) = rd(X0,X0),
inference(superposition,[status(thm)],[c_41109,c_50]) ).
cnf(c_41313,plain,
mult(ld(X0,X0),X0) = X0,
inference(superposition,[status(thm)],[c_41177,c_51]) ).
cnf(c_41315,plain,
mult(mult(X0,ld(X1,X1)),X1) = mult(rd(X0,X1),mult(X1,X1)),
inference(superposition,[status(thm)],[c_41177,c_1442]) ).
cnf(c_41331,plain,
mult(ld(mult(x0,sP0_iProver_def),mult(x0,sP0_iProver_def)),sP0_iProver_def) = rd(mult(mult(x0,sP0_iProver_def),sP0_iProver_def),sP1_iProver_def),
inference(superposition,[status(thm)],[c_41177,c_6191]) ).
cnf(c_41364,plain,
ld(sP0_iProver_def,ld(x0,x0)) = rd(x0,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_41331,c_1465,c_1525,c_7181,c_13691,c_13742]) ).
cnf(c_41415,plain,
mult(mult(X0,ld(X1,X1)),rd(X1,ld(X1,X1))) = rd(mult(X0,X1),ld(X1,X1)),
inference(superposition,[status(thm)],[c_41313,c_2689]) ).
cnf(c_41530,plain,
mult(mult(X0,X1),ld(X1,X1)) = mult(rd(X0,X1),mult(X1,X1)),
inference(demodulation,[status(thm)],[c_41415,c_49,c_34242,c_41315]) ).
cnf(c_41544,plain,
mult(mult(sP2_iProver_def(X0),X0),ld(X0,X0)) = ld(X0,X0),
inference(demodulation,[status(thm)],[c_35097,c_41530]) ).
cnf(c_41545,plain,
mult(ld(X0,X0),ld(X0,X0)) = ld(X0,X0),
inference(demodulation,[status(thm)],[c_41544,c_30772]) ).
cnf(c_41669,plain,
mult(mult(sP0_iProver_def,ld(x0,x0)),rd(x0,sP1_iProver_def)) = mult(sP0_iProver_def,mult(ld(x0,x0),ld(x0,x0))),
inference(superposition,[status(thm)],[c_41364,c_26907]) ).
cnf(c_41674,plain,
rd(rd(x0,sP1_iProver_def),mult(sP0_iProver_def,ld(x0,x0))) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_41364,c_13738]) ).
cnf(c_41688,plain,
mult(mult(sP0_iProver_def,ld(x0,x0)),rd(x0,sP1_iProver_def)) = mult(sP0_iProver_def,ld(x0,x0)),
inference(demodulation,[status(thm)],[c_41669,c_41545]) ).
cnf(c_42247,plain,
ld(mult(mult(X0,mult(sP0_iProver_def,ld(x0,x0))),sP0_iProver_def),mult(X0,mult(mult(sP0_iProver_def,ld(x0,x0)),rd(x0,sP1_iProver_def)))) = mult(sP0_iProver_def,ld(x0,x0)),
inference(superposition,[status(thm)],[c_41674,c_2903]) ).
cnf(c_42248,plain,
mult(sP0_iProver_def,ld(x0,x0)) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_42247,c_1941,c_2920,c_41688]) ).
cnf(c_42266,plain,
ld(x0,x0) = ld(sP0_iProver_def,sP0_iProver_def),
inference(superposition,[status(thm)],[c_42248,c_50]) ).
cnf(c_42275,plain,
mult(mult(x0,sP0_iProver_def),ld(x0,x0)) = mult(x0,mult(ld(x0,x0),sP0_iProver_def)),
inference(superposition,[status(thm)],[c_42248,c_180]) ).
cnf(c_42296,plain,
ld(x0,x0) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_42266,c_13745]) ).
cnf(c_42313,plain,
mult(mult(x0,sP0_iProver_def),sP0_iProver_def) = mult(x0,mult(sP0_iProver_def,sP0_iProver_def)),
inference(demodulation,[status(thm)],[c_42275,c_42296]) ).
cnf(c_42314,plain,
mult(x0,sP0_iProver_def) = x0,
inference(demodulation,[status(thm)],[c_42313,c_1465,c_13691]) ).
cnf(c_42354,plain,
mult(sP0_iProver_def,mult(sP1_iProver_def,mult(sP0_iProver_def,x0))) = mult(mult(x0,sP1_iProver_def),sP0_iProver_def),
inference(demodulation,[status(thm)],[c_7010,c_42314]) ).
cnf(c_42379,plain,
mult(mult(X0,sP0_iProver_def),x0) = mult(mult(X0,sP1_iProver_def),sP0_iProver_def),
inference(demodulation,[status(thm)],[c_1852,c_42314]) ).
cnf(c_42407,plain,
mult(sP0_iProver_def,mult(sP1_iProver_def,mult(sP0_iProver_def,x0))) = mult(x0,x0),
inference(demodulation,[status(thm)],[c_42354,c_42314,c_42379]) ).
cnf(c_42408,plain,
mult(sP0_iProver_def,mult(sP1_iProver_def,sP1_iProver_def)) = mult(x0,x0),
inference(demodulation,[status(thm)],[c_42407,c_78]) ).
cnf(c_42410,plain,
rd(mult(x0,x0),x0) = mult(sP0_iProver_def,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_27021,c_42408]) ).
cnf(c_42412,plain,
mult(sP0_iProver_def,sP1_iProver_def) = x0,
inference(demodulation,[status(thm)],[c_42410,c_52]) ).
cnf(c_42414,plain,
rd(rd(x0,x0),mult(sP2_iProver_def(x0),sP0_iProver_def)) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_30806,c_42412]) ).
cnf(c_42420,plain,
mult(sP0_iProver_def,mult(x0,x0)) = mult(sP1_iProver_def,x0),
inference(demodulation,[status(thm)],[c_26982,c_42412]) ).
cnf(c_42426,plain,
ld(mult(sP1_iProver_def,x0),sP1_iProver_def) = ld(x0,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_32881,c_42420]) ).
cnf(c_42428,plain,
ld(x0,sP0_iProver_def) = sP2_iProver_def(x0),
inference(demodulation,[status(thm)],[c_42426,c_32791]) ).
cnf(c_42433,plain,
ld(x0,mult(sP1_iProver_def,sP2_iProver_def(x0))) = mult(sP2_iProver_def(x0),sP0_iProver_def),
inference(demodulation,[status(thm)],[c_24591,c_42428]) ).
cnf(c_42436,plain,
mult(sP2_iProver_def(x0),sP0_iProver_def) = ld(x0,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_42433,c_143,c_32840]) ).
cnf(c_42467,plain,
rd(rd(x0,x0),sP2_iProver_def(x0)) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_42414,c_42428,c_42436]) ).
cnf(c_42468,plain,
x0 = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_42467,c_51,c_34067]) ).
cnf(c_42512,plain,
sP1_iProver_def != sP1_iProver_def,
inference(demodulation,[status(thm)],[c_79,c_42468]) ).
cnf(c_42513,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_42512]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP655-14 : TPTP v8.2.0. Released v8.1.0.
% 0.03/0.12 % Command : run_iprover %s %d THM
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu Jun 20 09:09:09 EDT 2024
% 0.13/0.33 % 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
% 23.33/3.66 % SZS status Started for theBenchmark.p
% 23.33/3.66 % SZS status Unsatisfiable for theBenchmark.p
% 23.33/3.66
% 23.33/3.66 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 23.33/3.66
% 23.33/3.66 ------ iProver source info
% 23.33/3.66
% 23.33/3.66 git: date: 2024-06-12 09:56:46 +0000
% 23.33/3.66 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 23.33/3.66 git: non_committed_changes: false
% 23.33/3.66
% 23.33/3.66 ------ Parsing...successful
% 23.33/3.66
% 23.33/3.66
% 23.33/3.66
% 23.33/3.66 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 23.33/3.66
% 23.33/3.66 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 23.33/3.66
% 23.33/3.66 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 23.33/3.66 ------ Proving...
% 23.33/3.66 ------ Problem Properties
% 23.33/3.66
% 23.33/3.66
% 23.33/3.66 clauses 8
% 23.33/3.66 conjectures 1
% 23.33/3.66 EPR 1
% 23.33/3.66 Horn 8
% 23.33/3.66 unary 8
% 23.33/3.66 binary 0
% 23.33/3.66 lits 8
% 23.33/3.66 lits eq 8
% 23.33/3.66 fd_pure 0
% 23.33/3.66 fd_pseudo 0
% 23.33/3.66 fd_cond 0
% 23.33/3.66 fd_pseudo_cond 0
% 23.33/3.66 AC symbols 0
% 23.33/3.66
% 23.33/3.66 ------ Input Options Time Limit: Unbounded
% 23.33/3.66
% 23.33/3.66
% 23.33/3.66 ------
% 23.33/3.66 Current options:
% 23.33/3.66 ------
% 23.33/3.66
% 23.33/3.66
% 23.33/3.66
% 23.33/3.66
% 23.33/3.66 ------ Proving...
% 23.33/3.66
% 23.33/3.66
% 23.33/3.66 % SZS status Unsatisfiable for theBenchmark.p
% 23.33/3.66
% 23.33/3.66 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 23.33/3.66
% 23.33/3.67
%------------------------------------------------------------------------------