TSTP Solution File: GRP701-1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP701-1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n023.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 07:01:50 EDT 2024
% Result : Unsatisfiable 242.15s 31.66s
% Output : CNFRefutation 242.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 77
% Number of leaves : 11
% Syntax : Number of clauses : 310 ( 310 unt; 0 nHn; 4 RR)
% Number of literals : 310 ( 309 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 558 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c01) ).
cnf(c_50,plain,
ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c02) ).
cnf(c_51,plain,
mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c03) ).
cnf(c_52,plain,
rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c04) ).
cnf(c_53,plain,
mult(X0,unit) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c05) ).
cnf(c_54,plain,
mult(unit,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c06) ).
cnf(c_55,plain,
mult(mult(mult(X0,X1),X0),mult(X0,X2)) = mult(X0,mult(mult(mult(X1,X0),X0),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c07) ).
cnf(c_56,plain,
mult(mult(X0,mult(X1,mult(X1,X2))),X1) = mult(mult(X0,X1),mult(X1,mult(X2,X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c08) ).
cnf(c_57,plain,
mult(X0,i(X0)) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c09) ).
cnf(c_58,plain,
mult(i(X0),X0) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c10) ).
cnf(c_59,negated_conjecture,
mult(a,i(mult(b,a))) != i(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(c_167,plain,
ld(X0,X0) = unit,
inference(superposition,[status(thm)],[c_53,c_50]) ).
cnf(c_169,plain,
ld(X0,unit) = i(X0),
inference(superposition,[status(thm)],[c_57,c_50]) ).
cnf(c_170,plain,
ld(i(X0),unit) = X0,
inference(superposition,[status(thm)],[c_58,c_50]) ).
cnf(c_172,plain,
i(i(X0)) = X0,
inference(demodulation,[status(thm)],[c_170,c_169]) ).
cnf(c_184,plain,
ld(rd(X0,X1),X0) = X1,
inference(superposition,[status(thm)],[c_51,c_50]) ).
cnf(c_189,plain,
rd(X0,ld(X1,X0)) = X1,
inference(superposition,[status(thm)],[c_49,c_52]) ).
cnf(c_191,plain,
rd(X0,X0) = unit,
inference(superposition,[status(thm)],[c_54,c_52]) ).
cnf(c_192,plain,
rd(unit,i(X0)) = X0,
inference(superposition,[status(thm)],[c_57,c_52]) ).
cnf(c_193,plain,
rd(unit,X0) = i(X0),
inference(superposition,[status(thm)],[c_58,c_52]) ).
cnf(c_223,plain,
mult(X0,mult(mult(mult(unit,X0),X0),X1)) = mult(mult(X0,X0),mult(X0,X1)),
inference(superposition,[status(thm)],[c_53,c_55]) ).
cnf(c_230,plain,
mult(X0,mult(mult(mult(X1,X0),X0),unit)) = mult(mult(mult(X0,X1),X0),X0),
inference(superposition,[status(thm)],[c_53,c_55]) ).
cnf(c_233,plain,
mult(X0,mult(mult(mult(X1,X0),X0),i(X0))) = mult(mult(mult(X0,X1),X0),unit),
inference(superposition,[status(thm)],[c_57,c_55]) ).
cnf(c_240,plain,
mult(mult(mult(X0,X1),X0),X0) = mult(X0,mult(mult(X1,X0),X0)),
inference(demodulation,[status(thm)],[c_230,c_53]) ).
cnf(c_241,plain,
mult(mult(X0,X0),mult(X0,X1)) = mult(X0,mult(mult(X0,X0),X1)),
inference(demodulation,[status(thm)],[c_223,c_54]) ).
cnf(c_242,plain,
mult(X0,mult(mult(mult(X1,X0),X0),i(X0))) = mult(mult(X0,X1),X0),
inference(demodulation,[status(thm)],[c_233,c_53]) ).
cnf(c_248,plain,
mult(X0,mult(mult(ld(X0,X1),X0),X0)) = mult(mult(X1,X0),X0),
inference(superposition,[status(thm)],[c_49,c_240]) ).
cnf(c_250,plain,
mult(X0,mult(mult(unit,X0),X0)) = mult(mult(X0,X0),X0),
inference(superposition,[status(thm)],[c_53,c_240]) ).
cnf(c_258,plain,
rd(mult(X0,mult(mult(X1,X0),X0)),X0) = mult(mult(X0,X1),X0),
inference(superposition,[status(thm)],[c_240,c_52]) ).
cnf(c_262,plain,
mult(mult(X0,X0),X0) = mult(X0,mult(X0,X0)),
inference(demodulation,[status(thm)],[c_250,c_54]) ).
cnf(c_283,plain,
mult(mult(unit,X0),mult(X0,mult(X1,X0))) = mult(mult(X0,mult(X0,X1)),X0),
inference(superposition,[status(thm)],[c_54,c_56]) ).
cnf(c_292,plain,
mult(mult(X0,X1),mult(X1,mult(unit,X1))) = mult(mult(X0,mult(X1,X1)),X1),
inference(superposition,[status(thm)],[c_53,c_56]) ).
cnf(c_310,plain,
mult(mult(X0,mult(X1,X1)),X1) = mult(mult(X0,X1),mult(X1,X1)),
inference(demodulation,[status(thm)],[c_292,c_54]) ).
cnf(c_311,plain,
mult(mult(X0,mult(X0,X1)),X0) = mult(X0,mult(X0,mult(X1,X0))),
inference(demodulation,[status(thm)],[c_283,c_54]) ).
cnf(c_337,plain,
mult(X0,mult(mult(X0,X0),i(X0))) = mult(mult(X0,X0),unit),
inference(superposition,[status(thm)],[c_57,c_241]) ).
cnf(c_346,plain,
ld(mult(X0,X0),mult(X0,mult(mult(X0,X0),X1))) = mult(X0,X1),
inference(superposition,[status(thm)],[c_241,c_50]) ).
cnf(c_354,plain,
mult(X0,mult(mult(X0,X0),i(X0))) = mult(X0,X0),
inference(demodulation,[status(thm)],[c_337,c_53]) ).
cnf(c_377,plain,
mult(mult(X0,X0),i(X0)) = ld(X0,mult(X0,X0)),
inference(superposition,[status(thm)],[c_354,c_50]) ).
cnf(c_381,plain,
mult(mult(X0,X0),i(X0)) = X0,
inference(demodulation,[status(thm)],[c_377,c_50]) ).
cnf(c_393,plain,
rd(X0,i(X0)) = mult(X0,X0),
inference(superposition,[status(thm)],[c_381,c_52]) ).
cnf(c_405,plain,
mult(i(X0),i(X0)) = rd(i(X0),X0),
inference(superposition,[status(thm)],[c_172,c_393]) ).
cnf(c_469,plain,
ld(X0,mult(mult(X1,X0),X0)) = mult(mult(ld(X0,X1),X0),X0),
inference(superposition,[status(thm)],[c_248,c_50]) ).
cnf(c_482,plain,
mult(mult(X0,rd(X1,X0)),X0) = rd(mult(X0,mult(X1,X0)),X0),
inference(superposition,[status(thm)],[c_51,c_258]) ).
cnf(c_493,plain,
rd(mult(i(X0),mult(X0,i(X0))),i(X0)) = mult(mult(i(X0),mult(X0,X0)),i(X0)),
inference(superposition,[status(thm)],[c_381,c_258]) ).
cnf(c_499,plain,
mult(mult(i(X0),mult(X0,X0)),i(X0)) = unit,
inference(demodulation,[status(thm)],[c_493,c_53,c_57,c_191]) ).
cnf(c_513,plain,
mult(i(X0),mult(X0,X0)) = rd(unit,i(X0)),
inference(superposition,[status(thm)],[c_499,c_52]) ).
cnf(c_521,plain,
mult(i(X0),mult(X0,X0)) = X0,
inference(demodulation,[status(thm)],[c_513,c_192]) ).
cnf(c_527,plain,
mult(X0,mult(i(X0),i(X0))) = i(X0),
inference(superposition,[status(thm)],[c_172,c_521]) ).
cnf(c_540,plain,
mult(X0,rd(i(X0),X0)) = i(X0),
inference(demodulation,[status(thm)],[c_527,c_405]) ).
cnf(c_585,plain,
mult(X0,mult(mult(X0,X0),rd(i(X0),X0))) = mult(mult(X0,X0),i(X0)),
inference(superposition,[status(thm)],[c_540,c_241]) ).
cnf(c_594,plain,
mult(X0,mult(mult(X0,X0),rd(i(X0),X0))) = X0,
inference(demodulation,[status(thm)],[c_585,c_381]) ).
cnf(c_635,plain,
mult(mult(X0,X0),rd(i(X0),X0)) = ld(X0,X0),
inference(superposition,[status(thm)],[c_594,c_50]) ).
cnf(c_640,plain,
mult(mult(X0,X0),rd(i(X0),X0)) = unit,
inference(demodulation,[status(thm)],[c_635,c_167]) ).
cnf(c_655,plain,
ld(mult(X0,X0),unit) = rd(i(X0),X0),
inference(superposition,[status(thm)],[c_640,c_50]) ).
cnf(c_659,plain,
rd(i(X0),X0) = i(mult(X0,X0)),
inference(demodulation,[status(thm)],[c_655,c_169]) ).
cnf(c_664,plain,
mult(X0,i(mult(X0,X0))) = i(X0),
inference(demodulation,[status(thm)],[c_540,c_659]) ).
cnf(c_667,plain,
mult(i(X0),i(X0)) = i(mult(X0,X0)),
inference(demodulation,[status(thm)],[c_405,c_659]) ).
cnf(c_681,plain,
mult(i(mult(X0,X0)),X0) = i(X0),
inference(superposition,[status(thm)],[c_659,c_51]) ).
cnf(c_880,plain,
mult(i(mult(X0,X0)),mult(i(X0),X1)) = mult(i(X0),mult(i(mult(X0,X0)),X1)),
inference(superposition,[status(thm)],[c_667,c_241]) ).
cnf(c_883,plain,
mult(i(mult(X0,X0)),i(X0)) = mult(i(X0),i(mult(X0,X0))),
inference(superposition,[status(thm)],[c_667,c_262]) ).
cnf(c_907,plain,
mult(mult(rd(X0,mult(X1,X1)),X1),mult(X1,X1)) = mult(X0,X1),
inference(superposition,[status(thm)],[c_51,c_310]) ).
cnf(c_924,plain,
rd(mult(mult(X0,X1),mult(X1,X1)),X1) = mult(X0,mult(X1,X1)),
inference(superposition,[status(thm)],[c_310,c_52]) ).
cnf(c_982,plain,
rd(mult(X0,mult(X0,mult(X1,X0))),X0) = mult(X0,mult(X0,X1)),
inference(superposition,[status(thm)],[c_311,c_52]) ).
cnf(c_1142,plain,
ld(mult(X0,X0),mult(X0,i(mult(X0,X0)))) = mult(X0,i(mult(mult(X0,X0),mult(X0,X0)))),
inference(superposition,[status(thm)],[c_664,c_346]) ).
cnf(c_1149,plain,
mult(X0,i(mult(X0,mult(X0,mult(X0,X0))))) = ld(mult(X0,X0),i(X0)),
inference(demodulation,[status(thm)],[c_1142,c_241,c_262,c_664]) ).
cnf(c_1221,plain,
rd(rd(mult(X0,mult(X1,X0)),X0),X0) = mult(X0,rd(X1,X0)),
inference(superposition,[status(thm)],[c_482,c_52]) ).
cnf(c_1302,plain,
mult(rd(X0,mult(X1,X1)),X1) = rd(mult(X0,X1),mult(X1,X1)),
inference(superposition,[status(thm)],[c_907,c_52]) ).
cnf(c_1334,plain,
rd(mult(i(X0),mult(i(mult(X0,X0)),i(mult(X0,X0)))),i(mult(X0,X0))) = mult(X0,mult(i(mult(X0,X0)),i(mult(X0,X0)))),
inference(superposition,[status(thm)],[c_664,c_924]) ).
cnf(c_1351,plain,
rd(mult(i(X0),i(mult(X0,mult(X0,mult(X0,X0))))),i(mult(X0,X0))) = ld(mult(X0,X0),i(X0)),
inference(demodulation,[status(thm)],[c_1334,c_241,c_262,c_667,c_1149]) ).
cnf(c_1574,plain,
rd(mult(i(mult(X0,X0)),mult(i(mult(X0,X0)),i(X0))),i(mult(X0,X0))) = mult(i(mult(X0,X0)),mult(i(mult(X0,X0)),X0)),
inference(superposition,[status(thm)],[c_664,c_982]) ).
cnf(c_1582,plain,
mult(i(X0),i(mult(X0,X0))) = ld(mult(X0,X0),i(X0)),
inference(demodulation,[status(thm)],[c_1574,c_241,c_262,c_667,c_681,c_880,c_883,c_1351]) ).
cnf(c_1614,plain,
mult(X0,i(mult(i(X0),i(X0)))) = ld(mult(i(X0),i(X0)),X0),
inference(superposition,[status(thm)],[c_172,c_1582]) ).
cnf(c_1634,plain,
ld(i(mult(X0,X0)),X0) = mult(X0,mult(X0,X0)),
inference(demodulation,[status(thm)],[c_1614,c_172,c_667]) ).
cnf(c_1691,plain,
mult(i(mult(X0,X0)),mult(X0,mult(X0,X0))) = X0,
inference(superposition,[status(thm)],[c_1634,c_49]) ).
cnf(c_1721,plain,
mult(mult(i(mult(X0,X0)),X0),mult(X0,mult(X0,X0))) = mult(X0,X0),
inference(superposition,[status(thm)],[c_1691,c_56]) ).
cnf(c_1722,plain,
mult(i(X0),mult(X0,mult(X0,X0))) = mult(X0,X0),
inference(demodulation,[status(thm)],[c_1721,c_681]) ).
cnf(c_1788,plain,
ld(i(X0),mult(X0,X0)) = mult(X0,mult(X0,X0)),
inference(superposition,[status(thm)],[c_1722,c_50]) ).
cnf(c_1856,plain,
ld(i(i(X0)),i(mult(X0,X0))) = mult(i(X0),i(mult(X0,X0))),
inference(superposition,[status(thm)],[c_667,c_1788]) ).
cnf(c_1857,plain,
ld(i(X0),mult(mult(mult(X0,X0),i(X0)),i(X0))) = mult(mult(mult(X0,mult(X0,X0)),i(X0)),i(X0)),
inference(superposition,[status(thm)],[c_1788,c_469]) ).
cnf(c_1860,plain,
ld(mult(X0,X0),i(X0)) = ld(X0,i(mult(X0,X0))),
inference(demodulation,[status(thm)],[c_1856,c_172,c_1582]) ).
cnf(c_1862,plain,
mult(mult(mult(X0,mult(X0,X0)),i(X0)),i(X0)) = X0,
inference(demodulation,[status(thm)],[c_1857,c_57,c_169,c_172,c_381]) ).
cnf(c_1864,plain,
mult(i(X0),i(mult(X0,X0))) = ld(X0,i(mult(X0,X0))),
inference(demodulation,[status(thm)],[c_1582,c_1860]) ).
cnf(c_1913,plain,
mult(mult(X0,mult(X0,X0)),i(X0)) = rd(X0,i(X0)),
inference(superposition,[status(thm)],[c_1862,c_52]) ).
cnf(c_1922,plain,
mult(mult(X0,mult(X0,X0)),i(X0)) = mult(X0,X0),
inference(demodulation,[status(thm)],[c_1913,c_393]) ).
cnf(c_1935,plain,
rd(mult(mult(X0,X0),mult(i(X0),i(X0))),i(X0)) = mult(mult(X0,mult(X0,X0)),mult(i(X0),i(X0))),
inference(superposition,[status(thm)],[c_1922,c_924]) ).
cnf(c_1942,plain,
rd(mult(X0,X0),i(X0)) = mult(X0,mult(X0,X0)),
inference(superposition,[status(thm)],[c_1922,c_52]) ).
cnf(c_1951,plain,
mult(mult(X0,mult(X0,X0)),i(mult(X0,X0))) = X0,
inference(demodulation,[status(thm)],[c_1935,c_57,c_192,c_667]) ).
cnf(c_1999,plain,
mult(i(X0),mult(i(X0),i(X0))) = rd(mult(i(X0),i(X0)),X0),
inference(superposition,[status(thm)],[c_172,c_1942]) ).
cnf(c_2003,plain,
ld(X0,i(mult(X0,X0))) = rd(i(mult(X0,X0)),X0),
inference(demodulation,[status(thm)],[c_1999,c_667,c_1864]) ).
cnf(c_2041,plain,
rd(X0,i(mult(X0,X0))) = mult(X0,mult(X0,X0)),
inference(superposition,[status(thm)],[c_1951,c_52]) ).
cnf(c_2097,plain,
rd(i(X0),i(i(mult(X0,X0)))) = mult(i(X0),i(mult(X0,X0))),
inference(superposition,[status(thm)],[c_667,c_2041]) ).
cnf(c_2102,plain,
rd(i(mult(X0,X0)),X0) = rd(i(X0),mult(X0,X0)),
inference(demodulation,[status(thm)],[c_2097,c_172,c_1864,c_2003]) ).
cnf(c_2285,plain,
mult(X0,rd(i(mult(X0,X0)),X0)) = i(mult(X0,X0)),
inference(superposition,[status(thm)],[c_2003,c_49]) ).
cnf(c_2291,plain,
mult(X0,rd(i(X0),mult(X0,X0))) = i(mult(X0,X0)),
inference(demodulation,[status(thm)],[c_2285,c_2102]) ).
cnf(c_2382,plain,
mult(X0,mult(mult(mult(rd(i(X0),mult(X0,X0)),X0),X0),X1)) = mult(mult(i(mult(X0,X0)),X0),mult(X0,X1)),
inference(superposition,[status(thm)],[c_2291,c_55]) ).
cnf(c_2391,plain,
mult(mult(X0,X1),mult(X1,mult(rd(i(X1),mult(X1,X1)),X1))) = mult(mult(X0,mult(X1,i(mult(X1,X1)))),X1),
inference(superposition,[status(thm)],[c_2291,c_56]) ).
cnf(c_2394,plain,
mult(mult(X0,i(X1)),X1) = mult(mult(X0,X1),i(X1)),
inference(demodulation,[status(thm)],[c_2391,c_58,c_193,c_664,c_1302]) ).
cnf(c_2395,plain,
mult(i(X0),mult(X0,X1)) = mult(X0,mult(i(X0),X1)),
inference(demodulation,[status(thm)],[c_2382,c_58,c_193,c_681,c_1302]) ).
cnf(c_2511,plain,
rd(mult(mult(X0,X1),i(X1)),X1) = mult(X0,i(X1)),
inference(superposition,[status(thm)],[c_2394,c_52]) ).
cnf(c_2521,plain,
rd(mult(X0,mult(mult(mult(X1,X0),i(X0)),X0)),X0) = mult(mult(X0,mult(X1,i(X0))),X0),
inference(superposition,[status(thm)],[c_2394,c_258]) ).
cnf(c_2531,plain,
mult(mult(X0,mult(X1,i(X0))),X0) = mult(X0,X1),
inference(demodulation,[status(thm)],[c_2521,c_52,c_242,c_2394]) ).
cnf(c_2572,plain,
mult(X0,mult(X1,i(X0))) = rd(mult(X0,X1),X0),
inference(superposition,[status(thm)],[c_2531,c_52]) ).
cnf(c_2597,plain,
rd(mult(X0,rd(X1,i(X0))),X0) = mult(X0,X1),
inference(superposition,[status(thm)],[c_51,c_2572]) ).
cnf(c_2616,plain,
rd(mult(i(X0),X1),i(X0)) = mult(i(X0),mult(X1,X0)),
inference(superposition,[status(thm)],[c_172,c_2572]) ).
cnf(c_2627,plain,
ld(X0,rd(mult(X0,X1),X0)) = mult(X1,i(X0)),
inference(superposition,[status(thm)],[c_2572,c_50]) ).
cnf(c_2680,plain,
mult(X0,rd(X1,i(X0))) = mult(mult(X0,X1),X0),
inference(superposition,[status(thm)],[c_2597,c_51]) ).
cnf(c_2755,plain,
mult(mult(X0,mult(X1,X0)),i(X0)) = ld(X0,mult(X0,mult(X0,X1))),
inference(superposition,[status(thm)],[c_982,c_2627]) ).
cnf(c_2756,plain,
mult(ld(X0,X1),i(X0)) = ld(X0,rd(X1,X0)),
inference(superposition,[status(thm)],[c_49,c_2627]) ).
cnf(c_2787,plain,
mult(mult(X0,mult(X1,X0)),i(X0)) = mult(X0,X1),
inference(demodulation,[status(thm)],[c_2755,c_50]) ).
cnf(c_2811,plain,
mult(mult(i(X0),X1),i(X0)) = mult(i(X0),rd(X1,X0)),
inference(superposition,[status(thm)],[c_172,c_2680]) ).
cnf(c_2824,plain,
ld(X0,mult(mult(X0,X1),X0)) = rd(X1,i(X0)),
inference(superposition,[status(thm)],[c_2680,c_50]) ).
cnf(c_2864,plain,
ld(i(X0),rd(X1,i(X0))) = mult(ld(i(X0),X1),X0),
inference(superposition,[status(thm)],[c_172,c_2756]) ).
cnf(c_2886,plain,
mult(mult(ld(X0,X1),X0),i(X0)) = mult(ld(X0,rd(X1,X0)),X0),
inference(superposition,[status(thm)],[c_2756,c_2394]) ).
cnf(c_2990,plain,
mult(mult(X0,X1),i(X0)) = mult(X0,rd(X1,X0)),
inference(superposition,[status(thm)],[c_51,c_2787]) ).
cnf(c_3061,plain,
ld(X0,mult(X0,mult(X0,mult(X1,X0)))) = rd(mult(X0,X1),i(X0)),
inference(superposition,[status(thm)],[c_311,c_2824]) ).
cnf(c_3063,plain,
ld(X0,rd(mult(X0,mult(X1,X0)),X0)) = rd(rd(X1,X0),i(X0)),
inference(superposition,[status(thm)],[c_482,c_2824]) ).
cnf(c_3065,plain,
rd(ld(X0,X1),i(X0)) = ld(X0,mult(X1,X0)),
inference(superposition,[status(thm)],[c_49,c_2824]) ).
cnf(c_3089,plain,
ld(X0,mult(mult(mult(X0,X1),X0),X0)) = rd(rd(X1,i(X0)),i(X0)),
inference(superposition,[status(thm)],[c_2680,c_2824]) ).
cnf(c_3096,plain,
mult(mult(X0,X1),i(X1)) = rd(rd(X0,X1),i(X1)),
inference(demodulation,[status(thm)],[c_3063,c_2627]) ).
cnf(c_3097,plain,
rd(mult(X0,X1),i(X0)) = mult(X0,mult(X1,X0)),
inference(demodulation,[status(thm)],[c_3061,c_50]) ).
cnf(c_3098,plain,
rd(rd(X0,i(X1)),i(X1)) = mult(mult(X0,X1),X1),
inference(demodulation,[status(thm)],[c_3089,c_50,c_240]) ).
cnf(c_3106,plain,
mult(mult(X0,i(X1)),X1) = rd(rd(X0,X1),i(X1)),
inference(demodulation,[status(thm)],[c_2394,c_3096]) ).
cnf(c_3253,plain,
mult(X0,rd(ld(X0,X1),X0)) = mult(X1,i(X0)),
inference(superposition,[status(thm)],[c_49,c_2990]) ).
cnf(c_3274,plain,
mult(rd(mult(X0,X1),X0),i(X0)) = mult(X0,rd(mult(X1,i(X0)),X0)),
inference(superposition,[status(thm)],[c_2572,c_2990]) ).
cnf(c_3275,plain,
mult(mult(mult(X0,X1),X0),i(X0)) = mult(X0,rd(rd(X1,i(X0)),X0)),
inference(superposition,[status(thm)],[c_2680,c_2990]) ).
cnf(c_3279,plain,
mult(i(X0),rd(X1,i(X0))) = mult(mult(i(X0),X1),X0),
inference(superposition,[status(thm)],[c_172,c_2990]) ).
cnf(c_3310,plain,
mult(X0,rd(rd(X1,i(X0)),X0)) = rd(rd(mult(X0,X1),X0),i(X0)),
inference(demodulation,[status(thm)],[c_3275,c_3096]) ).
cnf(c_3385,plain,
ld(i(X0),mult(X1,i(X0))) = rd(ld(i(X0),X1),X0),
inference(superposition,[status(thm)],[c_172,c_3065]) ).
cnf(c_3396,plain,
mult(X0,mult(ld(X0,X1),X0)) = rd(X1,i(X0)),
inference(superposition,[status(thm)],[c_49,c_3097]) ).
cnf(c_3422,plain,
mult(i(X0),mult(X1,i(X0))) = rd(mult(i(X0),X1),X0),
inference(superposition,[status(thm)],[c_172,c_3097]) ).
cnf(c_3702,plain,
mult(X0,mult(mult(mult(rd(ld(X0,X1),X0),X0),X0),X2)) = mult(mult(mult(X1,i(X0)),X0),mult(X0,X2)),
inference(superposition,[status(thm)],[c_3253,c_55]) ).
cnf(c_3704,plain,
ld(X0,mult(X1,i(X0))) = rd(ld(X0,X1),X0),
inference(superposition,[status(thm)],[c_3253,c_50]) ).
cnf(c_3713,plain,
mult(mult(X0,X1),mult(X1,mult(rd(ld(X1,X2),X1),X1))) = mult(mult(X0,mult(X1,mult(X2,i(X1)))),X1),
inference(superposition,[status(thm)],[c_3253,c_56]) ).
cnf(c_3716,plain,
rd(mult(X0,mult(ld(X0,X1),X0)),X0) = mult(mult(X1,i(X0)),X0),
inference(superposition,[status(thm)],[c_3253,c_482]) ).
cnf(c_3717,plain,
rd(rd(X0,i(X1)),X1) = rd(rd(X0,X1),i(X1)),
inference(demodulation,[status(thm)],[c_3716,c_3106,c_3396]) ).
cnf(c_3723,plain,
mult(mult(X0,rd(mult(X1,X2),X1)),X1) = mult(mult(X0,X1),X2),
inference(demodulation,[status(thm)],[c_3713,c_49,c_51,c_2572]) ).
cnf(c_3724,plain,
mult(rd(rd(X0,X1),i(X1)),mult(X1,X2)) = mult(X1,mult(mult(ld(X1,X0),X1),X2)),
inference(demodulation,[status(thm)],[c_3702,c_51,c_3106]) ).
cnf(c_3853,plain,
ld(X0,rd(X1,i(X0))) = mult(ld(X0,X1),X0),
inference(superposition,[status(thm)],[c_3396,c_50]) ).
cnf(c_4135,plain,
mult(ld(i(X0),X1),i(X0)) = ld(i(X0),rd(X1,X0)),
inference(superposition,[status(thm)],[c_172,c_3853]) ).
cnf(c_4160,plain,
mult(X0,mult(i(X0),ld(X0,X1))) = mult(i(X0),X1),
inference(superposition,[status(thm)],[c_49,c_2395]) ).
cnf(c_4204,plain,
rd(mult(X0,mult(i(X0),X1)),mult(X0,X1)) = i(X0),
inference(superposition,[status(thm)],[c_2395,c_52]) ).
cnf(c_4205,plain,
ld(i(X0),mult(X0,mult(i(X0),X1))) = mult(X0,X1),
inference(superposition,[status(thm)],[c_2395,c_50]) ).
cnf(c_4326,plain,
mult(rd(X0,X1),i(X1)) = rd(mult(X0,i(X1)),X1),
inference(superposition,[status(thm)],[c_51,c_2511]) ).
cnf(c_4333,plain,
rd(mult(ld(X0,mult(mult(X1,X0),X0)),i(X0)),X0) = mult(mult(ld(X0,X1),X0),i(X0)),
inference(superposition,[status(thm)],[c_469,c_2511]) ).
cnf(c_4341,plain,
rd(mult(rd(mult(X0,mult(X1,X0)),X0),i(X0)),X0) = mult(mult(X0,rd(X1,X0)),i(X0)),
inference(superposition,[status(thm)],[c_482,c_2511]) ).
cnf(c_4365,plain,
mult(X0,rd(rd(X1,X0),X0)) = rd(rd(mult(X0,X1),X0),X0),
inference(demodulation,[status(thm)],[c_4341,c_2511,c_2572,c_2990,c_3274]) ).
cnf(c_4366,plain,
mult(ld(X0,rd(X1,X0)),X0) = rd(ld(X0,mult(X1,X0)),X0),
inference(demodulation,[status(thm)],[c_4333,c_52,c_2756,c_2886]) ).
cnf(c_4530,plain,
ld(X0,mult(i(X0),X1)) = mult(i(X0),ld(X0,X1)),
inference(superposition,[status(thm)],[c_4160,c_50]) ).
cnf(c_4830,plain,
rd(mult(rd(rd(X0,X1),i(X1)),mult(X1,X1)),X1) = mult(mult(X0,i(X1)),mult(X1,X1)),
inference(superposition,[status(thm)],[c_3106,c_924]) ).
cnf(c_4868,plain,
mult(mult(X0,i(X1)),mult(X1,X1)) = mult(X0,X1),
inference(demodulation,[status(thm)],[c_4830,c_49,c_52,c_469,c_3724]) ).
cnf(c_4882,plain,
mult(rd(X0,i(X1)),X1) = mult(X0,mult(X1,X1)),
inference(superposition,[status(thm)],[c_51,c_4868]) ).
cnf(c_4928,plain,
rd(mult(X0,X1),mult(X1,X1)) = mult(X0,i(X1)),
inference(superposition,[status(thm)],[c_4868,c_52]) ).
cnf(c_4929,plain,
ld(mult(X0,i(X1)),mult(X0,X1)) = mult(X1,X1),
inference(superposition,[status(thm)],[c_4868,c_50]) ).
cnf(c_5035,plain,
mult(X0,mult(i(X1),i(X1))) = mult(rd(X0,X1),i(X1)),
inference(superposition,[status(thm)],[c_172,c_4882]) ).
cnf(c_5036,plain,
rd(rd(rd(X0,i(X1)),X1),i(X1)) = mult(mult(X0,mult(X1,X1)),i(X1)),
inference(superposition,[status(thm)],[c_4882,c_3096]) ).
cnf(c_5058,plain,
rd(mult(X0,mult(X1,X1)),X1) = rd(X0,i(X1)),
inference(superposition,[status(thm)],[c_4882,c_52]) ).
cnf(c_5075,plain,
mult(mult(X0,mult(i(X1),i(X1))),mult(X1,X1)) = mult(rd(X0,i(i(X1))),X1),
inference(superposition,[status(thm)],[c_4882,c_4868]) ).
cnf(c_5079,plain,
mult(X0,i(mult(X1,X1))) = rd(mult(X0,i(X1)),X1),
inference(demodulation,[status(thm)],[c_5035,c_667,c_4326]) ).
cnf(c_5084,plain,
mult(mult(X0,mult(X1,X1)),i(X1)) = mult(X0,X1),
inference(demodulation,[status(thm)],[c_5036,c_51,c_3098,c_3717]) ).
cnf(c_5088,plain,
rd(rd(X0,mult(X1,X1)),i(mult(X1,X1))) = X0,
inference(demodulation,[status(thm)],[c_5075,c_51,c_172,c_667,c_3106]) ).
cnf(c_5110,plain,
rd(mult(X0,X1),i(X1)) = mult(X0,mult(X1,X1)),
inference(demodulation,[status(thm)],[c_924,c_5058]) ).
cnf(c_5244,plain,
ld(mult(X0,mult(i(X1),i(X1))),mult(rd(X0,i(i(X1))),X1)) = mult(X1,X1),
inference(superposition,[status(thm)],[c_4882,c_4929]) ).
cnf(c_5293,plain,
ld(rd(mult(X0,i(X1)),X1),X0) = mult(X1,X1),
inference(demodulation,[status(thm)],[c_5244,c_51,c_172,c_667,c_5079]) ).
cnf(c_5495,plain,
mult(mult(X0,mult(mult(X1,X1),mult(X1,X1))),i(X1)) = mult(rd(X0,i(mult(X1,X1))),X1),
inference(superposition,[status(thm)],[c_4882,c_5084]) ).
cnf(c_5500,plain,
mult(mult(X0,mult(X1,mult(mult(X1,X1),X1))),i(mult(X1,X1))) = mult(X0,mult(X1,X1)),
inference(superposition,[status(thm)],[c_241,c_5084]) ).
cnf(c_5542,plain,
rd(ld(X0,mult(X1,mult(X0,X0))),X0) = ld(X0,mult(X1,X0)),
inference(superposition,[status(thm)],[c_5084,c_3704]) ).
cnf(c_5560,plain,
rd(mult(mult(X0,mult(X1,mult(X1,mult(X1,X1)))),i(X1)),X1) = mult(X0,mult(X1,X1)),
inference(demodulation,[status(thm)],[c_5500,c_262,c_5079]) ).
cnf(c_5561,plain,
mult(mult(X0,mult(X1,mult(X1,mult(X1,X1)))),i(X1)) = mult(rd(X0,i(mult(X1,X1))),X1),
inference(demodulation,[status(thm)],[c_5495,c_241,c_262]) ).
cnf(c_5562,plain,
rd(mult(rd(X0,i(mult(X1,X1))),X1),X1) = mult(X0,mult(X1,X1)),
inference(demodulation,[status(thm)],[c_5560,c_5561]) ).
cnf(c_5563,plain,
rd(X0,i(mult(X1,X1))) = mult(X0,mult(X1,X1)),
inference(demodulation,[status(thm)],[c_5562,c_52]) ).
cnf(c_5864,plain,
rd(mult(X0,i(X1)),X1) = rd(X0,mult(X1,X1)),
inference(superposition,[status(thm)],[c_5293,c_189]) ).
cnf(c_6469,plain,
ld(i(X0),mult(X0,X1)) = mult(X0,ld(i(X0),X1)),
inference(superposition,[status(thm)],[c_49,c_4205]) ).
cnf(c_6654,plain,
mult(rd(X0,mult(X1,X1)),X1) = mult(X0,i(X1)),
inference(superposition,[status(thm)],[c_5864,c_51]) ).
cnf(c_7639,plain,
rd(ld(X0,mult(i(X0),X1)),ld(X0,X1)) = i(X0),
inference(superposition,[status(thm)],[c_4530,c_52]) ).
cnf(c_7788,plain,
ld(X0,ld(i(X0),mult(X0,X1))) = ld(i(X0),X1),
inference(superposition,[status(thm)],[c_6469,c_50]) ).
cnf(c_9252,plain,
ld(X0,ld(i(X0),rd(X1,i(X0)))) = ld(i(X0),mult(ld(X0,X1),X0)),
inference(superposition,[status(thm)],[c_3396,c_7788]) ).
cnf(c_9300,plain,
ld(i(X0),mult(ld(X0,X1),X0)) = ld(X0,mult(ld(i(X0),X1),X0)),
inference(demodulation,[status(thm)],[c_9252,c_2864]) ).
cnf(c_9686,plain,
mult(i(X0),mult(ld(i(X0),X1),X0)) = rd(X1,i(X0)),
inference(superposition,[status(thm)],[c_49,c_2616]) ).
cnf(c_9718,plain,
ld(mult(i(X0),mult(X1,X0)),mult(i(X0),X1)) = i(X0),
inference(superposition,[status(thm)],[c_2616,c_184]) ).
cnf(c_9726,plain,
mult(mult(i(mult(X0,X0)),X1),mult(X0,X0)) = mult(i(mult(X0,X0)),mult(X1,mult(X0,X0))),
inference(superposition,[status(thm)],[c_2616,c_5563]) ).
cnf(c_9730,plain,
rd(rd(mult(i(X0),X1),X0),i(X0)) = rd(mult(i(X0),mult(X1,X0)),X0),
inference(superposition,[status(thm)],[c_2616,c_3717]) ).
cnf(c_9973,plain,
rd(rd(mult(i(X0),X1),X0),i(X0)) = mult(mult(i(X0),rd(X1,X0)),X0),
inference(superposition,[status(thm)],[c_2811,c_3106]) ).
cnf(c_9984,plain,
mult(mult(i(X0),rd(X1,X0)),X0) = rd(mult(i(X0),mult(X1,X0)),X0),
inference(demodulation,[status(thm)],[c_9973,c_9730]) ).
cnf(c_10133,plain,
ld(i(X0),mult(mult(i(X0),X1),X0)) = rd(X1,i(X0)),
inference(superposition,[status(thm)],[c_3279,c_50]) ).
cnf(c_10143,plain,
mult(i(X0),mult(rd(X1,i(X0)),X0)) = rd(mult(mult(i(X0),X1),X0),i(X0)),
inference(superposition,[status(thm)],[c_3279,c_2616]) ).
cnf(c_10151,plain,
mult(mult(i(X0),X1),mult(X0,X0)) = mult(i(X0),mult(X1,mult(X0,X0))),
inference(demodulation,[status(thm)],[c_10143,c_4882,c_5110]) ).
cnf(c_10566,plain,
ld(i(X0),mult(rd(X1,i(X0)),X0)) = rd(mult(ld(i(X0),X1),X0),i(X0)),
inference(superposition,[status(thm)],[c_9686,c_10133]) ).
cnf(c_10591,plain,
ld(i(X0),mult(X1,mult(X0,X0))) = mult(ld(i(X0),X1),mult(X0,X0)),
inference(demodulation,[status(thm)],[c_10566,c_4882,c_5110]) ).
cnf(c_10902,plain,
rd(rd(mult(i(X0),mult(X1,i(X0))),X0),i(X0)) = mult(mult(i(X0),X1),i(X0)),
inference(superposition,[status(thm)],[c_3422,c_258]) ).
cnf(c_10931,plain,
rd(rd(mult(i(X0),mult(X1,X0)),X0),X0) = mult(i(X0),rd(X1,X0)),
inference(demodulation,[status(thm)],[c_10902,c_2811,c_3106,c_3279,c_9730,c_9984]) ).
cnf(c_14000,plain,
mult(X0,rd(mult(X1,X2),X1)) = rd(mult(mult(X0,X1),X2),X1),
inference(superposition,[status(thm)],[c_3723,c_52]) ).
cnf(c_14721,plain,
mult(mult(rd(rd(mult(X0,X1),X0),X0),X0),mult(X0,X2)) = mult(X0,mult(mult(mult(rd(rd(X1,X0),X0),X0),X0),X2)),
inference(superposition,[status(thm)],[c_4365,c_55]) ).
cnf(c_14748,plain,
ld(i(X0),mult(X0,rd(rd(mult(i(X0),X1),i(X0)),i(X0)))) = mult(X0,rd(rd(X1,i(X0)),i(X0))),
inference(superposition,[status(thm)],[c_4365,c_4205]) ).
cnf(c_14764,plain,
ld(i(X0),mult(X1,mult(X0,X0))) = mult(X0,mult(mult(X1,X0),X0)),
inference(demodulation,[status(thm)],[c_14748,c_54,c_57,c_240,c_2680,c_4882,c_14000]) ).
cnf(c_14768,plain,
mult(rd(mult(X0,X1),X0),mult(X0,X2)) = mult(X0,mult(X1,X2)),
inference(demodulation,[status(thm)],[c_14721,c_51]) ).
cnf(c_16725,plain,
mult(ld(i(X0),mult(X1,mult(i(X0),i(X0)))),mult(X0,X0)) = mult(ld(i(X0),mult(X1,i(X0))),X0),
inference(superposition,[status(thm)],[c_5542,c_4882]) ).
cnf(c_16745,plain,
rd(mult(X0,mult(X1,X0)),X0) = ld(i(X0),X1),
inference(demodulation,[status(thm)],[c_16725,c_51,c_482,c_667,c_2680,c_3106,c_3385,c_5079,c_6654,c_5864,c_10591,c_14764]) ).
cnf(c_16763,plain,
rd(ld(i(X0),X1),X0) = mult(X0,rd(X1,X0)),
inference(demodulation,[status(thm)],[c_1221,c_16745]) ).
cnf(c_16764,plain,
mult(mult(X0,rd(X1,X0)),X0) = ld(i(X0),X1),
inference(demodulation,[status(thm)],[c_482,c_16745]) ).
cnf(c_16790,plain,
ld(i(X0),rd(X1,X0)) = rd(mult(X0,X1),X0),
inference(superposition,[status(thm)],[c_51,c_16745]) ).
cnf(c_16797,plain,
rd(mult(X0,ld(X0,mult(mult(X1,X0),X0))),X0) = ld(i(X0),mult(ld(X0,X1),X0)),
inference(superposition,[status(thm)],[c_469,c_16745]) ).
cnf(c_16852,plain,
mult(ld(i(X0),X1),X0) = mult(X0,mult(X1,X0)),
inference(superposition,[status(thm)],[c_16745,c_51]) ).
cnf(c_16872,plain,
mult(mult(i(mult(X0,X0)),mult(X1,i(mult(X0,X0)))),mult(X0,X0)) = ld(i(i(mult(X0,X0))),X1),
inference(superposition,[status(thm)],[c_16745,c_5563]) ).
cnf(c_16878,plain,
rd(rd(mult(i(X0),mult(X1,i(X0))),X0),i(X0)) = rd(ld(i(i(X0)),X1),X0),
inference(superposition,[status(thm)],[c_16745,c_3717]) ).
cnf(c_16883,plain,
mult(mult(i(X0),mult(X1,i(X0))),mult(X0,X0)) = mult(ld(i(i(X0)),X1),X0),
inference(superposition,[status(thm)],[c_16745,c_4882]) ).
cnf(c_16892,plain,
ld(X0,ld(i(X0),X1)) = mult(mult(X1,X0),i(X0)),
inference(superposition,[status(thm)],[c_16745,c_2627]) ).
cnf(c_16896,plain,
ld(X0,ld(i(X0),X1)) = rd(rd(X1,X0),i(X0)),
inference(demodulation,[status(thm)],[c_16892,c_3096]) ).
cnf(c_16911,plain,
mult(i(X0),mult(X1,X0)) = mult(ld(X0,X1),X0),
inference(demodulation,[status(thm)],[c_16883,c_172,c_4868,c_10151]) ).
cnf(c_16928,plain,
mult(i(X0),rd(X1,X0)) = rd(ld(X0,X1),X0),
inference(demodulation,[status(thm)],[c_16878,c_172,c_3106,c_3279,c_9730,c_9984,c_10931]) ).
cnf(c_16943,plain,
ld(X0,mult(ld(i(X0),X1),X0)) = mult(X1,X0),
inference(demodulation,[status(thm)],[c_16797,c_49,c_52,c_9300]) ).
cnf(c_16953,plain,
mult(i(mult(X0,X0)),X1) = ld(mult(X0,X0),X1),
inference(demodulation,[status(thm)],[c_16872,c_172,c_3106,c_5088,c_9726]) ).
cnf(c_16960,plain,
mult(ld(i(X0),X1),i(X0)) = rd(mult(X0,X1),X0),
inference(demodulation,[status(thm)],[c_4135,c_16790]) ).
cnf(c_16963,plain,
ld(i(X0),rd(X1,i(X0))) = mult(X0,mult(X1,X0)),
inference(demodulation,[status(thm)],[c_2864,c_16852]) ).
cnf(c_16969,plain,
rd(rd(mult(X0,X1),X0),i(X0)) = ld(i(X0),X1),
inference(demodulation,[status(thm)],[c_7788,c_16896]) ).
cnf(c_16970,plain,
ld(mult(ld(X0,X1),X0),mult(i(X0),X1)) = i(X0),
inference(demodulation,[status(thm)],[c_9718,c_16911]) ).
cnf(c_16971,plain,
rd(mult(i(X0),X1),i(X0)) = mult(ld(X0,X1),X0),
inference(demodulation,[status(thm)],[c_2616,c_16911]) ).
cnf(c_16976,plain,
mult(mult(i(X0),X1),i(X0)) = rd(ld(X0,X1),X0),
inference(demodulation,[status(thm)],[c_2811,c_16928]) ).
cnf(c_18259,plain,
rd(mult(mult(i(rd(mult(X0,X1),X0)),X0),X1),X0) = unit,
inference(superposition,[status(thm)],[c_14000,c_58]) ).
cnf(c_18329,plain,
mult(rd(mult(mult(X0,X0),X1),X0),X0) = ld(i(X0),mult(X0,X1)),
inference(superposition,[status(thm)],[c_14000,c_16764]) ).
cnf(c_18344,plain,
ld(i(X0),mult(X0,X1)) = mult(mult(X0,X0),X1),
inference(demodulation,[status(thm)],[c_18329,c_51]) ).
cnf(c_18732,plain,
mult(mult(i(rd(mult(X0,X1),X0)),X0),X1) = mult(unit,X0),
inference(superposition,[status(thm)],[c_18259,c_51]) ).
cnf(c_18772,plain,
mult(mult(i(rd(mult(X0,X1),X0)),X0),X1) = X0,
inference(demodulation,[status(thm)],[c_18732,c_54]) ).
cnf(c_18877,plain,
mult(i(rd(mult(X0,X1),X0)),X0) = rd(X0,X1),
inference(superposition,[status(thm)],[c_18772,c_52]) ).
cnf(c_18941,plain,
mult(ld(X0,rd(X1,X0)),X0) = mult(i(X0),X1),
inference(superposition,[status(thm)],[c_51,c_16911]) ).
cnf(c_19079,plain,
rd(ld(X0,mult(X1,X0)),X0) = mult(i(X0),X1),
inference(demodulation,[status(thm)],[c_4366,c_18941]) ).
cnf(c_19597,plain,
mult(i(i(mult(X0,X0))),X1) = ld(i(mult(X0,X0)),X1),
inference(superposition,[status(thm)],[c_667,c_16953]) ).
cnf(c_19694,plain,
rd(mult(mult(X0,X0),ld(mult(X0,X0),X1)),mult(mult(X0,X0),X1)) = i(mult(X0,X0)),
inference(superposition,[status(thm)],[c_16953,c_4204]) ).
cnf(c_19781,plain,
ld(i(mult(X0,X0)),X1) = mult(mult(X0,X0),X1),
inference(demodulation,[status(thm)],[c_19597,c_172]) ).
cnf(c_19806,plain,
rd(X0,mult(mult(X1,X1),X0)) = i(mult(X1,X1)),
inference(demodulation,[status(thm)],[c_19694,c_49]) ).
cnf(c_20384,plain,
mult(mult(i(X0),i(X0)),X1) = ld(X0,mult(i(X0),X1)),
inference(superposition,[status(thm)],[c_172,c_18344]) ).
cnf(c_20412,plain,
ld(i(i(X0)),mult(X0,mult(i(X0),X1))) = mult(mult(i(X0),i(X0)),mult(X0,X1)),
inference(superposition,[status(thm)],[c_2395,c_18344]) ).
cnf(c_20460,plain,
ld(X0,mult(i(X0),X1)) = ld(mult(X0,X0),X1),
inference(demodulation,[status(thm)],[c_20384,c_667,c_16953]) ).
cnf(c_20472,plain,
ld(mult(X0,X0),mult(X0,X1)) = mult(i(X0),X1),
inference(demodulation,[status(thm)],[c_20412,c_50,c_172,c_667,c_16953]) ).
cnf(c_20492,plain,
rd(ld(mult(X0,X0),X1),ld(X0,X1)) = i(X0),
inference(demodulation,[status(thm)],[c_7639,c_20460]) ).
cnf(c_20493,plain,
mult(i(X0),ld(X0,X1)) = ld(mult(X0,X0),X1),
inference(demodulation,[status(thm)],[c_4530,c_20460]) ).
cnf(c_21052,plain,
i(rd(mult(X0,X1),X0)) = rd(rd(X0,X1),X0),
inference(superposition,[status(thm)],[c_18877,c_52]) ).
cnf(c_24308,plain,
rd(rd(X0,ld(X0,X1)),X0) = i(rd(X1,X0)),
inference(superposition,[status(thm)],[c_49,c_21052]) ).
cnf(c_24407,plain,
mult(rd(mult(X0,X1),X0),rd(rd(X0,X1),X0)) = unit,
inference(superposition,[status(thm)],[c_21052,c_57]) ).
cnf(c_24756,plain,
mult(i(rd(X0,X1)),X1) = rd(X1,ld(X1,X0)),
inference(superposition,[status(thm)],[c_24308,c_51]) ).
cnf(c_24891,plain,
rd(X0,ld(X0,mult(X1,X0))) = mult(i(X1),X0),
inference(superposition,[status(thm)],[c_52,c_24756]) ).
cnf(c_24944,plain,
rd(X0,ld(X0,rd(X0,ld(X0,X1)))) = mult(i(i(rd(X1,X0))),X0),
inference(superposition,[status(thm)],[c_24308,c_24756]) ).
cnf(c_25033,plain,
rd(X0,ld(X0,rd(X0,ld(X0,X1)))) = X1,
inference(demodulation,[status(thm)],[c_24944,c_51,c_172]) ).
cnf(c_25197,plain,
rd(i(X0),ld(i(X0),rd(rd(X1,X0),i(X0)))) = mult(i(mult(X1,X0)),i(X0)),
inference(superposition,[status(thm)],[c_3096,c_24891]) ).
cnf(c_25259,plain,
mult(i(mult(X0,X1)),i(X1)) = rd(i(X1),mult(X1,X0)),
inference(demodulation,[status(thm)],[c_25197,c_51,c_16963]) ).
cnf(c_25713,plain,
ld(X0,rd(X0,ld(X0,X1))) = ld(X1,X0),
inference(superposition,[status(thm)],[c_25033,c_184]) ).
cnf(c_25740,plain,
ld(X0,mult(i(X1),X0)) = ld(mult(X1,X0),X0),
inference(superposition,[status(thm)],[c_24891,c_25713]) ).
cnf(c_25741,plain,
ld(mult(X0,X1),X0) = ld(X0,rd(X0,X1)),
inference(superposition,[status(thm)],[c_50,c_25713]) ).
cnf(c_25817,plain,
ld(X0,rd(rd(X0,ld(X0,X1)),X0)) = mult(ld(X1,X0),i(X0)),
inference(superposition,[status(thm)],[c_25713,c_2756]) ).
cnf(c_25838,plain,
ld(X0,i(rd(X1,X0))) = mult(ld(X1,X0),i(X0)),
inference(demodulation,[status(thm)],[c_25817,c_24308]) ).
cnf(c_27787,plain,
mult(X0,mult(ld(mult(X1,X0),X0),X0)) = rd(mult(i(X1),X0),i(X0)),
inference(superposition,[status(thm)],[c_25740,c_3396]) ).
cnf(c_27830,plain,
mult(X0,mult(ld(mult(X1,X0),X0),X0)) = mult(i(X1),mult(X0,X0)),
inference(demodulation,[status(thm)],[c_27787,c_5110]) ).
cnf(c_29473,plain,
mult(rd(mult(X0,X1),X0),X2) = mult(X0,mult(X1,ld(X0,X2))),
inference(superposition,[status(thm)],[c_49,c_14768]) ).
cnf(c_29610,plain,
mult(X0,mult(X1,ld(X0,rd(rd(X0,X1),X0)))) = unit,
inference(demodulation,[status(thm)],[c_24407,c_29473]) ).
cnf(c_31544,plain,
ld(mult(mult(ld(X0,X1),X0),mult(ld(X0,X1),X0)),mult(i(X0),X1)) = mult(i(mult(ld(X0,X1),X0)),i(X0)),
inference(superposition,[status(thm)],[c_16970,c_20493]) ).
cnf(c_31545,plain,
rd(ld(mult(mult(ld(X0,X1),X0),mult(ld(X0,X1),X0)),mult(i(X0),X1)),i(X0)) = i(mult(ld(X0,X1),X0)),
inference(superposition,[status(thm)],[c_16970,c_20492]) ).
cnf(c_31594,plain,
ld(mult(mult(ld(X0,X1),X0),mult(ld(X0,X1),X0)),mult(i(X0),X1)) = rd(i(X0),X1),
inference(demodulation,[status(thm)],[c_31544,c_49,c_25259]) ).
cnf(c_31595,plain,
rd(rd(i(X0),X1),i(X0)) = i(mult(ld(X0,X1),X0)),
inference(demodulation,[status(thm)],[c_31545,c_31594]) ).
cnf(c_32907,plain,
mult(X0,ld(X1,rd(rd(X1,X0),X1))) = ld(X1,unit),
inference(superposition,[status(thm)],[c_29610,c_50]) ).
cnf(c_32961,plain,
mult(X0,ld(X1,rd(rd(X1,X0),X1))) = i(X1),
inference(demodulation,[status(thm)],[c_32907,c_169]) ).
cnf(c_33092,plain,
ld(X0,rd(rd(X0,X1),X0)) = ld(X1,i(X0)),
inference(superposition,[status(thm)],[c_32961,c_50]) ).
cnf(c_33192,plain,
ld(ld(X0,X1),i(X1)) = ld(X1,rd(X0,X1)),
inference(superposition,[status(thm)],[c_189,c_33092]) ).
cnf(c_33280,plain,
ld(X0,mult(mult(rd(rd(X0,X1),X0),X0),X0)) = mult(mult(ld(X1,i(X0)),X0),X0),
inference(superposition,[status(thm)],[c_33092,c_469]) ).
cnf(c_33281,plain,
mult(X0,ld(X1,i(X0))) = rd(rd(X0,X1),X0),
inference(superposition,[status(thm)],[c_33092,c_49]) ).
cnf(c_33294,plain,
rd(mult(X0,rd(rd(i(X0),X1),i(X0))),X0) = mult(ld(X1,i(i(X0))),i(X0)),
inference(superposition,[status(thm)],[c_33092,c_16960]) ).
cnf(c_33306,plain,
mult(X0,rd(rd(rd(i(X0),X1),i(X0)),X0)) = rd(ld(X1,i(i(X0))),X0),
inference(superposition,[status(thm)],[c_33092,c_16763]) ).
cnf(c_33310,plain,
mult(ld(X0,i(X1)),X1) = mult(i(X1),rd(X1,X0)),
inference(superposition,[status(thm)],[c_33092,c_18941]) ).
cnf(c_33340,plain,
ld(i(X0),rd(i(X0),X1)) = rd(ld(X1,X0),X0),
inference(demodulation,[status(thm)],[c_33306,c_172,c_3310,c_16969]) ).
cnf(c_33361,plain,
ld(X0,i(rd(X1,X0))) = mult(X0,rd(i(X0),X1)),
inference(demodulation,[status(thm)],[c_33294,c_52,c_172,c_2680,c_25838]) ).
cnf(c_33363,plain,
mult(mult(ld(X0,i(X1)),X1),X1) = ld(X1,mult(rd(X1,X0),X1)),
inference(demodulation,[status(thm)],[c_33280,c_51]) ).
cnf(c_33634,plain,
mult(rd(rd(i(X0),X1),i(X0)),i(X0)) = rd(ld(X0,ld(X1,i(i(X0)))),X0),
inference(superposition,[status(thm)],[c_33281,c_16976]) ).
cnf(c_33673,plain,
rd(ld(X0,ld(X1,X0)),X0) = rd(i(X0),X1),
inference(demodulation,[status(thm)],[c_33634,c_51,c_172]) ).
cnf(c_33829,plain,
ld(i(X0),rd(X1,i(X0))) = ld(ld(X1,i(X0)),X0),
inference(superposition,[status(thm)],[c_172,c_33192]) ).
cnf(c_33857,plain,
mult(ld(X0,X1),ld(X1,rd(X0,X1))) = i(X1),
inference(superposition,[status(thm)],[c_33192,c_49]) ).
cnf(c_33863,plain,
rd(i(X0),ld(X0,rd(X1,X0))) = ld(X1,X0),
inference(superposition,[status(thm)],[c_33192,c_189]) ).
cnf(c_33865,plain,
ld(ld(X0,i(X1)),X1) = mult(X1,mult(X0,X1)),
inference(demodulation,[status(thm)],[c_33829,c_16963]) ).
cnf(c_34461,plain,
rd(i(X0),rd(X0,X1)) = rd(ld(X0,X1),X0),
inference(superposition,[status(thm)],[c_184,c_33673]) ).
cnf(c_34779,plain,
mult(ld(mult(i(X0),X1),i(X0)),ld(i(X0),mult(ld(X0,X1),X0))) = i(i(X0)),
inference(superposition,[status(thm)],[c_16971,c_33857]) ).
cnf(c_34914,plain,
mult(rd(ld(X0,X1),X1),mult(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_34779,c_172,c_9300,c_16943,c_25741,c_33340]) ).
cnf(c_35269,plain,
rd(ld(X0,X1),X1) = rd(X1,mult(X0,X1)),
inference(superposition,[status(thm)],[c_34914,c_52]) ).
cnf(c_35372,plain,
rd(X0,mult(rd(X0,X1),X0)) = rd(X1,X0),
inference(superposition,[status(thm)],[c_184,c_35269]) ).
cnf(c_35494,plain,
rd(rd(i(X0),mult(X1,i(X0))),i(X0)) = mult(mult(ld(X1,i(X0)),X0),X0),
inference(superposition,[status(thm)],[c_35269,c_3098]) ).
cnf(c_35499,plain,
mult(X0,rd(i(X0),mult(X1,i(X0)))) = mult(mult(X0,ld(X1,i(X0))),X0),
inference(superposition,[status(thm)],[c_35269,c_2680]) ).
cnf(c_35520,plain,
ld(X0,i(rd(X1,mult(X0,X0)))) = rd(X0,X1),
inference(demodulation,[status(thm)],[c_35499,c_51,c_5864,c_33281,c_33361]) ).
cnf(c_35527,plain,
ld(X0,mult(rd(X0,X1),X0)) = i(ld(X0,X1)),
inference(demodulation,[status(thm)],[c_35494,c_51,c_3704,c_31595,c_33363]) ).
cnf(c_35778,plain,
ld(rd(X0,X1),X1) = mult(rd(X1,X0),X1),
inference(superposition,[status(thm)],[c_35372,c_184]) ).
cnf(c_36258,plain,
rd(ld(X0,ld(rd(X1,X0),X0)),X0) = mult(i(X0),rd(X0,X1)),
inference(superposition,[status(thm)],[c_35778,c_19079]) ).
cnf(c_36310,plain,
mult(i(X0),rd(X0,X1)) = rd(i(X0),rd(X1,X0)),
inference(demodulation,[status(thm)],[c_36258,c_33673]) ).
cnf(c_36734,plain,
rd(i(X0),ld(X0,X1)) = ld(mult(X1,X0),X0),
inference(superposition,[status(thm)],[c_52,c_33863]) ).
cnf(c_36960,plain,
rd(X0,mult(X0,mult(X1,X0))) = ld(X1,i(X0)),
inference(superposition,[status(thm)],[c_33865,c_189]) ).
cnf(c_37522,plain,
mult(rd(ld(X0,X1),X0),rd(X0,X1)) = i(X0),
inference(superposition,[status(thm)],[c_34461,c_51]) ).
cnf(c_38101,plain,
ld(i(X0),rd(ld(mult(X1,X0),X0),i(X0))) = ld(ld(X0,X1),i(i(X0))),
inference(superposition,[status(thm)],[c_36734,c_33092]) ).
cnf(c_38159,plain,
mult(i(X0),mult(X1,X1)) = ld(ld(X1,X0),X1),
inference(demodulation,[status(thm)],[c_38101,c_172,c_16963,c_27830]) ).
cnf(c_38640,plain,
mult(rd(ld(X0,mult(mult(X1,X1),X0)),X0),i(mult(X1,X1))) = i(X0),
inference(superposition,[status(thm)],[c_19806,c_37522]) ).
cnf(c_38726,plain,
rd(ld(ld(X0,X1),X0),mult(X0,X0)) = i(X1),
inference(demodulation,[status(thm)],[c_38640,c_5079,c_5864,c_19079,c_38159]) ).
cnf(c_39607,plain,
i(rd(X0,mult(X1,X1))) = mult(X1,rd(X1,X0)),
inference(superposition,[status(thm)],[c_35520,c_49]) ).
cnf(c_39757,plain,
mult(X0,i(ld(X0,X1))) = mult(rd(X0,X1),X0),
inference(superposition,[status(thm)],[c_35527,c_49]) ).
cnf(c_39796,plain,
mult(X0,i(ld(X0,X1))) = ld(rd(X1,X0),X0),
inference(demodulation,[status(thm)],[c_39757,c_35778]) ).
cnf(c_40143,plain,
ld(rd(mult(X0,mult(X1,X0)),X0),X0) = mult(ld(X1,i(X0)),X0),
inference(superposition,[status(thm)],[c_36960,c_35778]) ).
cnf(c_40168,plain,
ld(ld(i(X0),X1),X0) = rd(i(X0),rd(X1,X0)),
inference(demodulation,[status(thm)],[c_40143,c_16745,c_33310,c_36310]) ).
cnf(c_40970,plain,
rd(ld(X0,X1),mult(X1,X1)) = i(mult(X1,X0)),
inference(superposition,[status(thm)],[c_50,c_38726]) ).
cnf(c_42771,plain,
ld(rd(mult(X0,X1),X0),X0) = mult(X0,i(X1)),
inference(superposition,[status(thm)],[c_50,c_39796]) ).
cnf(c_44283,plain,
rd(mult(mult(X0,X0),X1),mult(X1,X1)) = i(mult(X1,i(mult(X0,X0)))),
inference(superposition,[status(thm)],[c_19781,c_40970]) ).
cnf(c_44386,plain,
mult(mult(X0,X0),i(X1)) = mult(X0,rd(X0,X1)),
inference(demodulation,[status(thm)],[c_44283,c_4928,c_5079,c_5864,c_39607]) ).
cnf(c_45343,plain,
ld(ld(i(X0),X1),X0) = mult(X0,i(mult(X1,X0))),
inference(superposition,[status(thm)],[c_16745,c_42771]) ).
cnf(c_45474,plain,
mult(X0,i(mult(X1,X0))) = rd(i(X0),rd(X1,X0)),
inference(demodulation,[status(thm)],[c_45343,c_40168]) ).
cnf(c_45527,plain,
rd(i(a),rd(b,a)) != i(b),
inference(demodulation,[status(thm)],[c_59,c_45474]) ).
cnf(c_46727,plain,
ld(mult(X0,X0),mult(X0,rd(X0,X1))) = i(X1),
inference(superposition,[status(thm)],[c_44386,c_50]) ).
cnf(c_46802,plain,
rd(i(X0),rd(X1,X0)) = i(X1),
inference(demodulation,[status(thm)],[c_46727,c_20472,c_36310]) ).
cnf(c_46890,plain,
i(b) != i(b),
inference(demodulation,[status(thm)],[c_45527,c_46802]) ).
cnf(c_46891,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_46890]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP701-1 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.11 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n023.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 Jun 20 09:45:39 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_j12_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 242.15/31.66 % SZS status Started for theBenchmark.p
% 242.15/31.66 % SZS status Unsatisfiable for theBenchmark.p
% 242.15/31.66
% 242.15/31.66 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 242.15/31.66
% 242.15/31.66 ------ iProver source info
% 242.15/31.66
% 242.15/31.66 git: date: 2024-06-12 09:56:46 +0000
% 242.15/31.66 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 242.15/31.66 git: non_committed_changes: false
% 242.15/31.66
% 242.15/31.66 ------ Parsing...successful
% 242.15/31.66
% 242.15/31.66
% 242.15/31.66
% 242.15/31.66 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 242.15/31.66
% 242.15/31.66 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 242.15/31.66
% 242.15/31.66 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 242.15/31.66 ------ Proving...
% 242.15/31.66 ------ Problem Properties
% 242.15/31.66
% 242.15/31.66
% 242.15/31.66 clauses 11
% 242.15/31.66 conjectures 1
% 242.15/31.66 EPR 0
% 242.15/31.66 Horn 11
% 242.15/31.66 unary 11
% 242.15/31.66 binary 0
% 242.15/31.66 lits 11
% 242.15/31.66 lits eq 11
% 242.15/31.66 fd_pure 0
% 242.15/31.66 fd_pseudo 0
% 242.15/31.66 fd_cond 0
% 242.15/31.66 fd_pseudo_cond 0
% 242.15/31.66 AC symbols 0
% 242.15/31.66
% 242.15/31.66 ------ Input Options Time Limit: Unbounded
% 242.15/31.66
% 242.15/31.66
% 242.15/31.66 ------
% 242.15/31.66 Current options:
% 242.15/31.66 ------
% 242.15/31.66
% 242.15/31.66
% 242.15/31.66
% 242.15/31.66
% 242.15/31.66 ------ Proving...
% 242.15/31.66
% 242.15/31.66
% 242.15/31.66 % SZS status Unsatisfiable for theBenchmark.p
% 242.15/31.66
% 242.15/31.66 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 242.15/31.67
% 242.15/31.67
%------------------------------------------------------------------------------