TSTP Solution File: GRP683-11 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP683-11 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n008.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 02:23:25 EDT 2024
% Result : Unsatisfiable 15.76s 2.63s
% Output : CNFRefutation 15.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 8
% Syntax : Number of clauses : 128 ( 128 unt; 0 nHn; 5 RR)
% Number of literals : 128 ( 127 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 273 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
ld(X0,mult(X0,X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
cnf(c_50,plain,
rd(mult(X0,X0),X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
cnf(c_51,plain,
mult(X0,ld(X0,X1)) = ld(X0,mult(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
cnf(c_52,plain,
mult(rd(X0,X1),X1) = rd(mult(X0,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
cnf(c_53,plain,
ld(ld(X0,X1),mult(ld(X0,X1),mult(X2,X3))) = mult(ld(X0,mult(X0,X2)),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
cnf(c_54,plain,
rd(mult(mult(X0,X1),rd(X2,X3)),rd(X2,X3)) = mult(X0,rd(mult(X1,X3),X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f06) ).
cnf(c_55,plain,
ld(X0,mult(X0,ld(X1,X1))) = rd(mult(rd(X0,X0),X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f07) ).
cnf(c_56,negated_conjecture,
mult(rd(mult(x3,x4),x4),x5) != mult(x3,x5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
cnf(c_80,plain,
mult(rd(X0,X0),X0) = X0,
inference(demodulation,[status(thm)],[c_50,c_52]) ).
cnf(c_81,plain,
mult(X0,ld(X0,X0)) = X0,
inference(demodulation,[status(thm)],[c_49,c_51]) ).
cnf(c_82,plain,
mult(mult(rd(x3,x4),x4),x5) != mult(x3,x5),
inference(demodulation,[status(thm)],[c_56,c_52]) ).
cnf(c_83,plain,
mult(rd(rd(X0,X0),X1),X1) = mult(X0,ld(X0,ld(X1,X1))),
inference(demodulation,[status(thm)],[c_55,c_51,c_52]) ).
cnf(c_84,plain,
mult(rd(mult(X0,X1),rd(X2,X3)),rd(X2,X3)) = mult(X0,mult(rd(X1,X3),X3)),
inference(demodulation,[status(thm)],[c_54,c_52]) ).
cnf(c_85,plain,
mult(ld(X0,X1),ld(ld(X0,X1),mult(X2,X3))) = mult(mult(X0,ld(X0,X2)),X3),
inference(demodulation,[status(thm)],[c_53,c_51]) ).
cnf(c_147,plain,
mult(rd(X0,X0),ld(rd(X0,X0),X0)) = ld(rd(X0,X0),X0),
inference(superposition,[status(thm)],[c_80,c_51]) ).
cnf(c_148,plain,
mult(X0,ld(X0,ld(X0,X0))) = ld(X0,X0),
inference(superposition,[status(thm)],[c_81,c_51]) ).
cnf(c_151,plain,
mult(rd(rd(X0,X0),X0),X0) = rd(X0,X0),
inference(superposition,[status(thm)],[c_80,c_52]) ).
cnf(c_163,plain,
mult(X0,ld(X0,ld(X0,X0))) = rd(X0,X0),
inference(demodulation,[status(thm)],[c_151,c_83]) ).
cnf(c_164,plain,
ld(X0,X0) = rd(X0,X0),
inference(light_normalisation,[status(thm)],[c_163,c_148]) ).
cnf(c_165,plain,
mult(X0,ld(X0,rd(X0,X0))) = rd(X0,X0),
inference(demodulation,[status(thm)],[c_148,c_164]) ).
cnf(c_166,plain,
mult(X0,rd(X0,X0)) = X0,
inference(demodulation,[status(thm)],[c_81,c_164]) ).
cnf(c_167,plain,
mult(rd(rd(X0,X0),X1),X1) = mult(X0,ld(X0,rd(X1,X1))),
inference(demodulation,[status(thm)],[c_83,c_164]) ).
cnf(c_179,plain,
mult(rd(X0,rd(X0,X0)),rd(X0,X0)) = rd(X0,rd(X0,X0)),
inference(superposition,[status(thm)],[c_166,c_52]) ).
cnf(c_184,plain,
mult(rd(X0,rd(X1,X2)),rd(X1,X2)) = mult(rd(X0,X0),mult(rd(X0,X2),X2)),
inference(superposition,[status(thm)],[c_80,c_84]) ).
cnf(c_187,plain,
mult(rd(X0,rd(X1,X2)),rd(X1,X2)) = mult(X0,mult(rd(rd(X0,X0),X2),X2)),
inference(superposition,[status(thm)],[c_166,c_84]) ).
cnf(c_205,plain,
mult(rd(X0,X0),ld(rd(X0,X0),mult(X1,X2))) = mult(mult(X0,ld(X0,X1)),X2),
inference(superposition,[status(thm)],[c_164,c_85]) ).
cnf(c_206,plain,
mult(mult(X0,ld(X0,rd(X1,X1))),X1) = mult(ld(X0,X2),ld(ld(X0,X2),X1)),
inference(superposition,[status(thm)],[c_80,c_85]) ).
cnf(c_210,plain,
mult(mult(X0,ld(X0,X1)),rd(X1,X1)) = mult(ld(X0,X2),ld(ld(X0,X2),X1)),
inference(superposition,[status(thm)],[c_166,c_85]) ).
cnf(c_259,plain,
mult(X0,ld(X0,ld(X1,X1))) = mult(X0,ld(X0,rd(X1,X1))),
inference(superposition,[status(thm)],[c_167,c_83]) ).
cnf(c_300,plain,
mult(rd(X0,X0),mult(rd(X0,X0),X0)) = rd(X0,rd(X0,X0)),
inference(demodulation,[status(thm)],[c_179,c_184]) ).
cnf(c_301,plain,
rd(X0,rd(X0,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_300,c_80]) ).
cnf(c_309,plain,
mult(rd(X0,rd(X1,X0)),rd(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_80,c_184]) ).
cnf(c_352,plain,
mult(X0,mult(rd(X1,rd(X2,X2)),rd(X2,X2))) = mult(rd(mult(X0,X1),X2),X2),
inference(superposition,[status(thm)],[c_301,c_84]) ).
cnf(c_357,plain,
mult(rd(X0,X0),mult(rd(X0,rd(X1,X1)),rd(X1,X1))) = mult(rd(X0,X1),X1),
inference(superposition,[status(thm)],[c_301,c_184]) ).
cnf(c_384,plain,
mult(rd(X0,rd(X1,rd(X2,X0))),rd(X1,rd(X2,X0))) = mult(rd(X0,X0),X0),
inference(superposition,[status(thm)],[c_309,c_184]) ).
cnf(c_387,plain,
mult(rd(X0,rd(X1,rd(X2,X0))),rd(X1,rd(X2,X0))) = X0,
inference(light_normalisation,[status(thm)],[c_384,c_80]) ).
cnf(c_532,plain,
mult(mult(X0,ld(X0,rd(X1,X1))),X1) = mult(rd(X0,X0),ld(rd(X0,X0),X1)),
inference(superposition,[status(thm)],[c_80,c_205]) ).
cnf(c_595,plain,
mult(rd(X0,rd(X1,mult(rd(X2,X0),X0))),rd(X1,mult(rd(X2,X0),X0))) = X0,
inference(superposition,[status(thm)],[c_52,c_387]) ).
cnf(c_596,plain,
mult(rd(rd(X0,X0),rd(X1,X0)),rd(X1,X0)) = rd(X0,X0),
inference(superposition,[status(thm)],[c_301,c_387]) ).
cnf(c_666,plain,
mult(X0,ld(X0,rd(rd(X1,X0),rd(X1,X0)))) = rd(X0,X0),
inference(superposition,[status(thm)],[c_596,c_167]) ).
cnf(c_689,plain,
mult(ld(X0,X1),ld(ld(X0,X1),X0)) = mult(rd(X0,X0),X0),
inference(superposition,[status(thm)],[c_165,c_206]) ).
cnf(c_695,plain,
mult(mult(X0,ld(X0,X1)),ld(mult(X0,ld(X0,X1)),X2)) = mult(mult(X0,ld(X0,rd(X2,X2))),X2),
inference(superposition,[status(thm)],[c_51,c_206]) ).
cnf(c_712,plain,
mult(ld(X0,X1),ld(ld(X0,X1),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_689,c_80]) ).
cnf(c_735,plain,
mult(ld(rd(X0,X0),X1),ld(ld(rd(X0,X0),X1),X0)) = mult(ld(rd(X0,X0),X0),rd(X0,X0)),
inference(superposition,[status(thm)],[c_147,c_210]) ).
cnf(c_765,plain,
mult(mult(X0,ld(X0,rd(X1,X1))),X1) = mult(mult(X0,ld(X0,X1)),rd(X1,X1)),
inference(superposition,[status(thm)],[c_210,c_206]) ).
cnf(c_812,plain,
mult(rd(X0,X0),ld(rd(X0,X0),X0)) = X0,
inference(superposition,[status(thm)],[c_164,c_712]) ).
cnf(c_830,plain,
ld(rd(X0,X0),X0) = X0,
inference(demodulation,[status(thm)],[c_147,c_812]) ).
cnf(c_846,plain,
mult(ld(rd(X0,X0),X1),ld(ld(rd(X0,X0),X1),X0)) = mult(mult(rd(X0,X0),X0),rd(X0,X0)),
inference(superposition,[status(thm)],[c_830,c_210]) ).
cnf(c_847,plain,
mult(mult(rd(X0,X0),ld(rd(X0,X0),X1)),X2) = mult(X0,ld(X0,mult(X1,X2))),
inference(superposition,[status(thm)],[c_830,c_85]) ).
cnf(c_853,plain,
mult(ld(rd(X0,X0),X1),ld(ld(rd(X0,X0),X1),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_846,c_80,c_166,c_735]) ).
cnf(c_863,plain,
mult(rd(X0,X0),ld(rd(X0,X0),rd(X0,X0))) = rd(rd(X0,X0),rd(X0,X0)),
inference(superposition,[status(thm)],[c_301,c_666]) ).
cnf(c_1130,plain,
mult(mult(rd(X0,X0),ld(rd(X0,X0),rd(X0,X0))),X0) = X0,
inference(superposition,[status(thm)],[c_853,c_206]) ).
cnf(c_1131,plain,
mult(rd(rd(X0,X0),rd(X0,X0)),X0) = X0,
inference(light_normalisation,[status(thm)],[c_1130,c_863]) ).
cnf(c_1153,plain,
mult(rd(rd(rd(X0,X0),rd(X0,X0)),X0),X0) = rd(X0,X0),
inference(superposition,[status(thm)],[c_1131,c_52]) ).
cnf(c_1196,plain,
mult(rd(X0,X0),ld(rd(X0,X0),ld(X0,X0))) = rd(X0,X0),
inference(superposition,[status(thm)],[c_1153,c_83]) ).
cnf(c_1200,plain,
rd(rd(X0,X0),rd(X0,X0)) = rd(X0,X0),
inference(light_normalisation,[status(thm)],[c_1196,c_164,c_863]) ).
cnf(c_1236,plain,
mult(rd(mult(X0,X1),X1),X1) = mult(X0,X1),
inference(superposition,[status(thm)],[c_309,c_352]) ).
cnf(c_1238,plain,
mult(rd(mult(X0,rd(X1,X1)),X1),X1) = mult(X0,rd(X1,X1)),
inference(superposition,[status(thm)],[c_596,c_352]) ).
cnf(c_1265,plain,
mult(mult(rd(X0,X1),X1),X1) = mult(X0,X1),
inference(light_normalisation,[status(thm)],[c_1236,c_52]) ).
cnf(c_1346,plain,
mult(mult(rd(X0,X0),ld(rd(X0,X0),X1)),X2) = mult(rd(X0,X0),ld(rd(X0,X0),mult(X1,X2))),
inference(superposition,[status(thm)],[c_1200,c_205]) ).
cnf(c_1363,plain,
mult(rd(X0,X0),mult(rd(X0,rd(X1,X1)),rd(X1,X1))) = mult(rd(X0,rd(X1,X1)),rd(X1,X1)),
inference(superposition,[status(thm)],[c_1200,c_184]) ).
cnf(c_1371,plain,
mult(rd(mult(X0,rd(X1,X1)),X1),X1) = mult(X0,mult(rd(X1,X1),rd(X1,X1))),
inference(superposition,[status(thm)],[c_1200,c_352]) ).
cnf(c_1378,plain,
mult(X0,mult(rd(X1,X1),rd(X1,X1))) = mult(X0,rd(X1,X1)),
inference(light_normalisation,[status(thm)],[c_1371,c_1238]) ).
cnf(c_1384,plain,
mult(rd(X0,rd(X1,X1)),rd(X1,X1)) = mult(rd(X0,X1),X1),
inference(light_normalisation,[status(thm)],[c_1363,c_357]) ).
cnf(c_1386,plain,
mult(mult(X0,ld(X0,X1)),X2) = mult(X0,ld(X0,mult(X1,X2))),
inference(light_normalisation,[status(thm)],[c_1346,c_205,c_847]) ).
cnf(c_1389,plain,
mult(rd(mult(X0,X1),X2),X2) = mult(X0,mult(rd(X1,X2),X2)),
inference(demodulation,[status(thm)],[c_352,c_1384]) ).
cnf(c_1422,plain,
mult(mult(X0,ld(X0,rd(X1,X1))),X1) = mult(rd(X0,X0),X1),
inference(superposition,[status(thm)],[c_167,c_1265]) ).
cnf(c_1423,plain,
mult(mult(X0,ld(X0,ld(X1,X1))),X1) = mult(rd(X0,X0),X1),
inference(superposition,[status(thm)],[c_83,c_1265]) ).
cnf(c_1436,plain,
mult(mult(X0,ld(X0,X1)),rd(X1,X1)) = mult(rd(X0,X0),X1),
inference(light_normalisation,[status(thm)],[c_1423,c_259,c_765]) ).
cnf(c_1660,plain,
mult(rd(X0,X0),ld(rd(X0,X0),X1)) = mult(rd(X0,X0),X1),
inference(light_normalisation,[status(thm)],[c_532,c_1422]) ).
cnf(c_1778,plain,
mult(rd(rd(X0,X1),rd(X2,X1)),rd(X2,X1)) = rd(X0,X1),
inference(superposition,[status(thm)],[c_309,c_595]) ).
cnf(c_1855,plain,
mult(X0,mult(rd(rd(X0,X0),X1),X1)) = mult(rd(X0,X1),X1),
inference(superposition,[status(thm)],[c_1384,c_187]) ).
cnf(c_1856,plain,
mult(rd(X0,X0),mult(rd(X0,X1),X1)) = mult(rd(X0,X1),X1),
inference(superposition,[status(thm)],[c_1384,c_184]) ).
cnf(c_1867,plain,
mult(X0,mult(X0,ld(X0,rd(X1,X1)))) = mult(rd(X0,X1),X1),
inference(light_normalisation,[status(thm)],[c_1855,c_167]) ).
cnf(c_1885,plain,
mult(rd(X0,rd(X1,X2)),rd(X1,X2)) = mult(rd(X0,X2),X2),
inference(demodulation,[status(thm)],[c_184,c_1856]) ).
cnf(c_1927,plain,
mult(mult(rd(X0,X0),X1),X2) = mult(X0,ld(X0,mult(X1,X2))),
inference(light_normalisation,[status(thm)],[c_847,c_1660]) ).
cnf(c_1936,plain,
mult(X0,ld(X0,mult(X0,X1))) = mult(X0,X1),
inference(superposition,[status(thm)],[c_80,c_1927]) ).
cnf(c_1963,plain,
mult(X0,mult(X0,ld(X0,X1))) = mult(X0,X1),
inference(light_normalisation,[status(thm)],[c_1936,c_51]) ).
cnf(c_2014,plain,
mult(X0,rd(rd(X1,X0),rd(X1,X0))) = mult(X0,rd(X0,X0)),
inference(superposition,[status(thm)],[c_666,c_1963]) ).
cnf(c_2030,plain,
mult(X0,rd(rd(X1,X0),rd(X1,X0))) = X0,
inference(light_normalisation,[status(thm)],[c_2014,c_166]) ).
cnf(c_2049,plain,
mult(X0,rd(mult(rd(X1,X0),X0),mult(rd(X1,X0),X0))) = X0,
inference(superposition,[status(thm)],[c_52,c_2030]) ).
cnf(c_2188,plain,
mult(mult(X0,mult(rd(X1,X2),X2)),X2) = mult(mult(X0,X1),X2),
inference(superposition,[status(thm)],[c_1389,c_1265]) ).
cnf(c_2465,plain,
mult(X0,ld(X0,mult(X1,rd(X1,X1)))) = mult(rd(X0,X0),X1),
inference(superposition,[status(thm)],[c_1436,c_1386]) ).
cnf(c_3195,plain,
mult(rd(rd(X0,rd(X1,X1)),X1),X1) = rd(X0,rd(X1,X1)),
inference(superposition,[status(thm)],[c_301,c_1778]) ).
cnf(c_3211,plain,
mult(rd(X0,X1),rd(rd(X2,X1),rd(X2,X1))) = rd(X0,X1),
inference(superposition,[status(thm)],[c_1778,c_2049]) ).
cnf(c_3339,plain,
mult(rd(X0,X1),X1) = mult(X0,rd(X1,X1)),
inference(superposition,[status(thm)],[c_1867,c_1963]) ).
cnf(c_3358,plain,
mult(mult(X0,rd(X1,X1)),X1) = mult(X0,X1),
inference(demodulation,[status(thm)],[c_1265,c_3339]) ).
cnf(c_3359,plain,
mult(X0,rd(X1,X1)) = rd(mult(X0,X1),X1),
inference(demodulation,[status(thm)],[c_52,c_3339]) ).
cnf(c_3367,plain,
mult(mult(x3,rd(x4,x4)),x5) != mult(x3,x5),
inference(demodulation,[status(thm)],[c_82,c_3339]) ).
cnf(c_3752,plain,
mult(mult(X0,rd(X1,X1)),ld(mult(X0,rd(X1,X1)),X1)) = ld(mult(X0,rd(X1,X1)),mult(X0,X1)),
inference(superposition,[status(thm)],[c_3358,c_51]) ).
cnf(c_3775,plain,
mult(rd(X0,X1),rd(X1,X1)) = rd(mult(X0,rd(X1,X1)),X1),
inference(superposition,[status(thm)],[c_3339,c_3359]) ).
cnf(c_3800,plain,
mult(mult(X0,rd(X1,X1)),X1) = mult(mult(X0,X1),rd(X1,X1)),
inference(superposition,[status(thm)],[c_3359,c_3339]) ).
cnf(c_3804,plain,
mult(mult(X0,X1),rd(X1,X1)) = mult(X0,X1),
inference(light_normalisation,[status(thm)],[c_3800,c_3358]) ).
cnf(c_3859,plain,
mult(mult(X0,X1),ld(mult(X0,X1),rd(X1,X1))) = ld(mult(X0,X1),mult(X0,X1)),
inference(superposition,[status(thm)],[c_3804,c_51]) ).
cnf(c_3899,plain,
mult(X0,rd(rd(X1,X2),rd(X1,X2))) = mult(rd(X0,X2),X2),
inference(superposition,[status(thm)],[c_1885,c_3339]) ).
cnf(c_4442,plain,
mult(mult(X0,mult(X1,rd(X2,X2))),X2) = mult(mult(X0,X1),X2),
inference(superposition,[status(thm)],[c_3339,c_2188]) ).
cnf(c_4443,plain,
mult(mult(X0,mult(X1,ld(X1,ld(X2,X2)))),X2) = mult(mult(X0,rd(X1,X1)),X2),
inference(superposition,[status(thm)],[c_83,c_2188]) ).
cnf(c_4883,plain,
mult(rd(X0,X0),X1) = mult(X0,ld(X0,X1)),
inference(superposition,[status(thm)],[c_166,c_2465]) ).
cnf(c_4940,plain,
mult(mult(X0,ld(X0,rd(X1,X1))),X1) = mult(X0,ld(X0,X1)),
inference(demodulation,[status(thm)],[c_1422,c_4883]) ).
cnf(c_5646,plain,
mult(mult(X0,mult(X1,ld(X1,rd(X2,X2)))),X2) = mult(mult(X0,rd(X1,X1)),X2),
inference(superposition,[status(thm)],[c_164,c_4443]) ).
cnf(c_6295,plain,
mult(rd(X0,X1),rd(X1,X1)) = rd(X0,X1),
inference(superposition,[status(thm)],[c_1200,c_3211]) ).
cnf(c_7427,plain,
rd(mult(X0,rd(X1,X1)),X1) = rd(X0,X1),
inference(light_normalisation,[status(thm)],[c_3775,c_6295]) ).
cnf(c_7431,plain,
rd(mult(rd(X0,X1),X1),X1) = rd(rd(X0,rd(X1,X1)),X1),
inference(superposition,[status(thm)],[c_1885,c_7427]) ).
cnf(c_7457,plain,
rd(rd(X0,rd(X1,X1)),X1) = rd(X0,X1),
inference(light_normalisation,[status(thm)],[c_7431,c_3339,c_7427]) ).
cnf(c_7467,plain,
mult(rd(X0,X1),X1) = rd(X0,rd(X1,X1)),
inference(demodulation,[status(thm)],[c_3195,c_7457]) ).
cnf(c_7468,plain,
mult(X0,rd(X1,X1)) = rd(X0,rd(X1,X1)),
inference(light_normalisation,[status(thm)],[c_7467,c_3339]) ).
cnf(c_7887,plain,
mult(rd(rd(X0,rd(X1,X2)),X2),X2) = rd(X0,rd(X1,X2)),
inference(superposition,[status(thm)],[c_3899,c_6295]) ).
cnf(c_8546,plain,
mult(mult(X0,mult(X0,ld(X0,X1))),ld(mult(X0,mult(X0,ld(X0,X1))),X2)) = mult(mult(X0,ld(X0,rd(X2,X2))),X2),
inference(superposition,[status(thm)],[c_51,c_695]) ).
cnf(c_8632,plain,
mult(mult(X0,ld(X0,rd(X1,X1))),X1) = mult(mult(X0,X2),ld(mult(X0,X2),X1)),
inference(light_normalisation,[status(thm)],[c_8546,c_1963]) ).
cnf(c_8633,plain,
mult(mult(X0,X1),ld(mult(X0,X1),X2)) = mult(X0,ld(X0,X2)),
inference(light_normalisation,[status(thm)],[c_8632,c_4940]) ).
cnf(c_8672,plain,
mult(X0,ld(X0,rd(X1,X1))) = ld(mult(X0,X1),mult(X0,X1)),
inference(demodulation,[status(thm)],[c_3859,c_8633]) ).
cnf(c_10839,plain,
mult(rd(X0,rd(X1,X2)),rd(X2,X2)) = rd(X0,rd(X1,X2)),
inference(superposition,[status(thm)],[c_7887,c_3339]) ).
cnf(c_11714,plain,
ld(mult(X0,rd(X1,X1)),mult(X0,X1)) = mult(X0,ld(X0,X1)),
inference(demodulation,[status(thm)],[c_3752,c_8633]) ).
cnf(c_11949,plain,
mult(rd(X0,X1),ld(rd(X0,X1),rd(X1,X1))) = ld(mult(X0,rd(X1,X1)),mult(X0,rd(X1,X1))),
inference(superposition,[status(thm)],[c_3339,c_8672]) ).
cnf(c_12000,plain,
mult(X0,ld(X0,rd(X1,X1))) = rd(mult(X0,X1),mult(X0,X1)),
inference(superposition,[status(thm)],[c_8672,c_164]) ).
cnf(c_13966,plain,
mult(rd(X0,X1),ld(rd(X0,X1),rd(X1,X1))) = rd(rd(X0,X1),rd(X0,X1)),
inference(superposition,[status(thm)],[c_10839,c_4883]) ).
cnf(c_14319,plain,
ld(mult(X0,mult(rd(X1,X1),rd(X1,X1))),mult(X0,rd(X1,X1))) = mult(X0,ld(X0,rd(X1,X1))),
inference(superposition,[status(thm)],[c_7468,c_11714]) ).
cnf(c_14383,plain,
mult(X0,ld(X0,rd(X1,X1))) = rd(rd(X0,X1),rd(X0,X1)),
inference(light_normalisation,[status(thm)],[c_14319,c_1378,c_11949,c_13966]) ).
cnf(c_14446,plain,
mult(X0,mult(X1,ld(X1,rd(X2,X2)))) = mult(rd(X0,X2),X2),
inference(demodulation,[status(thm)],[c_3899,c_14383]) ).
cnf(c_15011,plain,
mult(mult(X0,ld(X0,rd(X1,X1))),X2) = mult(mult(X0,X1),ld(mult(X0,X1),X2)),
inference(superposition,[status(thm)],[c_12000,c_4883]) ).
cnf(c_15046,plain,
mult(mult(X0,ld(X0,rd(X1,X1))),X2) = mult(X0,ld(X0,X2)),
inference(light_normalisation,[status(thm)],[c_15011,c_8633]) ).
cnf(c_17503,plain,
mult(mult(X0,mult(X1,ld(X1,rd(X2,X2)))),X2) = mult(mult(X0,mult(X1,ld(X1,rd(X3,X3)))),X2),
inference(superposition,[status(thm)],[c_15046,c_4442]) ).
cnf(c_17549,plain,
mult(mult(X0,mult(X1,ld(X1,rd(X2,X2)))),X3) = mult(mult(X0,rd(X1,X1)),X3),
inference(light_normalisation,[status(thm)],[c_17503,c_5646]) ).
cnf(c_17550,plain,
mult(mult(rd(X0,X1),X1),X2) = mult(mult(X0,rd(X3,X3)),X2),
inference(light_normalisation,[status(thm)],[c_17549,c_14446]) ).
cnf(c_17551,plain,
mult(mult(X0,rd(X1,X1)),X2) = mult(mult(X0,rd(X3,X3)),X2),
inference(light_normalisation,[status(thm)],[c_17550,c_3339]) ).
cnf(c_20068,plain,
mult(mult(X0,rd(X1,X1)),X2) = mult(X0,X2),
inference(superposition,[status(thm)],[c_17551,c_3358]) ).
cnf(c_20069,plain,
mult(mult(x3,rd(X0,X0)),x5) != mult(x3,x5),
inference(superposition,[status(thm)],[c_17551,c_3367]) ).
cnf(c_20095,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_20069,c_20068]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP683-11 : TPTP v8.1.2. Released v8.1.0.
% 0.03/0.12 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n008.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu May 2 23:55:57 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.18/0.45 Running UEQ theorem proving
% 0.18/0.45 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
% 15.76/2.63 % SZS status Started for theBenchmark.p
% 15.76/2.63 % SZS status Unsatisfiable for theBenchmark.p
% 15.76/2.63
% 15.76/2.63 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 15.76/2.63
% 15.76/2.63 ------ iProver source info
% 15.76/2.63
% 15.76/2.63 git: date: 2024-05-02 19:28:25 +0000
% 15.76/2.63 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 15.76/2.63 git: non_committed_changes: false
% 15.76/2.63
% 15.76/2.63 ------ Parsing...successful
% 15.76/2.63
% 15.76/2.63
% 15.76/2.63
% 15.76/2.63 ------ Preprocessing... sup_sim: 6 sf_s rm: 0 0s sf_e pe_s pe_e
% 15.76/2.63
% 15.76/2.63 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 15.76/2.63
% 15.76/2.63 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 15.76/2.63 ------ Proving...
% 15.76/2.63 ------ Problem Properties
% 15.76/2.63
% 15.76/2.63
% 15.76/2.63 clauses 8
% 15.76/2.63 conjectures 0
% 15.76/2.63 EPR 0
% 15.76/2.63 Horn 8
% 15.76/2.63 unary 8
% 15.76/2.63 binary 0
% 15.76/2.63 lits 8
% 15.76/2.63 lits eq 8
% 15.76/2.63 fd_pure 0
% 15.76/2.63 fd_pseudo 0
% 15.76/2.63 fd_cond 0
% 15.76/2.63 fd_pseudo_cond 0
% 15.76/2.63 AC symbols 0
% 15.76/2.63
% 15.76/2.63 ------ Input Options Time Limit: Unbounded
% 15.76/2.63
% 15.76/2.63
% 15.76/2.63 ------
% 15.76/2.63 Current options:
% 15.76/2.63 ------
% 15.76/2.63
% 15.76/2.63
% 15.76/2.63
% 15.76/2.63
% 15.76/2.63 ------ Proving...
% 15.76/2.63
% 15.76/2.63
% 15.76/2.63 % SZS status Unsatisfiable for theBenchmark.p
% 15.76/2.63
% 15.76/2.63 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 15.76/2.63
% 15.76/2.64
%------------------------------------------------------------------------------