TSTP Solution File: GRP120-1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP120-1 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:21:02 EDT 2024
% Result : Unsatisfiable 31.84s 4.60s
% Output : CNFRefutation 31.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 55
% Number of leaves : 3
% Syntax : Number of clauses : 260 ( 260 unt; 0 nHn; 3 RR)
% Number of literals : 260 ( 259 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 382 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,X2))),multiply(X2,multiply(X2,X2)))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,plain,
multiply(identity,identity) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom2) ).
cnf(c_51,negated_conjecture,
multiply(identity,a) != a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_order3) ).
cnf(c_88,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X0,X1))),multiply(X1,multiply(X1,X1)))) = X0,
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_90,plain,
multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity)) = identity,
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_91,plain,
multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,identity))),identity)) = X1,
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_93,plain,
multiply(X0,multiply(multiply(X0,X1),multiply(multiply(X2,multiply(X2,X2)),multiply(multiply(X2,multiply(X2,X2)),multiply(X2,multiply(X2,X2)))))) = multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(X1,X2))),
inference(superposition,[status(thm)],[c_49,c_49]) ).
cnf(c_100,plain,
multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),identity)) = multiply(X0,multiply(multiply(X0,identity),multiply(identity,multiply(identity,identity)))),
inference(superposition,[status(thm)],[c_90,c_49]) ).
cnf(c_101,plain,
multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),identity)) = multiply(X0,multiply(multiply(X0,identity),identity)),
inference(light_normalisation,[status(thm)],[c_100,c_50]) ).
cnf(c_106,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X0,identity))),identity)) = X0,
inference(superposition,[status(thm)],[c_50,c_91]) ).
cnf(c_110,plain,
multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(X1,identity))) = multiply(X0,multiply(multiply(X0,X1),identity)),
inference(superposition,[status(thm)],[c_91,c_91]) ).
cnf(c_118,plain,
multiply(identity,multiply(multiply(identity,X0),identity)) = multiply(identity,multiply(identity,multiply(X0,identity))),
inference(superposition,[status(thm)],[c_106,c_106]) ).
cnf(c_120,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X0,identity)),identity))) = X0,
inference(demodulation,[status(thm)],[c_106,c_118]) ).
cnf(c_130,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity)))) = X0,
inference(demodulation,[status(thm)],[c_120,c_118]) ).
cnf(c_134,plain,
multiply(identity,multiply(identity,multiply(multiply(multiply(identity,multiply(multiply(identity,identity),multiply(X0,X1))),multiply(X1,multiply(X1,X1))),identity))) = multiply(identity,multiply(X0,identity)),
inference(superposition,[status(thm)],[c_49,c_118]) ).
cnf(c_136,plain,
multiply(identity,multiply(identity,multiply(multiply(multiply(identity,multiply(multiply(identity,identity),multiply(X0,identity))),identity),identity))) = multiply(identity,multiply(X0,identity)),
inference(superposition,[status(thm)],[c_91,c_118]) ).
cnf(c_138,plain,
multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(identity,multiply(identity,multiply(X1,identity))))),multiply(multiply(multiply(identity,X1),identity),multiply(multiply(multiply(identity,X1),identity),multiply(multiply(identity,X1),identity))))) = identity,
inference(superposition,[status(thm)],[c_118,c_49]) ).
cnf(c_149,plain,
multiply(identity,multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(X0,identity))),identity),identity))) = multiply(identity,multiply(X0,identity)),
inference(light_normalisation,[status(thm)],[c_136,c_50]) ).
cnf(c_150,plain,
multiply(identity,multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(X0,X1))),multiply(X1,multiply(X1,X1))),identity))) = multiply(identity,multiply(X0,identity)),
inference(light_normalisation,[status(thm)],[c_134,c_50]) ).
cnf(c_161,plain,
multiply(identity,multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity))))) = identity,
inference(superposition,[status(thm)],[c_130,c_88]) ).
cnf(c_198,plain,
multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,identity),identity)),identity)) = identity,
inference(superposition,[status(thm)],[c_101,c_90]) ).
cnf(c_199,plain,
multiply(X0,multiply(multiply(X0,multiply(X0,multiply(multiply(X0,identity),identity))),identity)) = multiply(multiply(X0,X0),multiply(X0,X0)),
inference(superposition,[status(thm)],[c_101,c_91]) ).
cnf(c_210,plain,
multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X0),multiply(identity,multiply(identity,identity))),identity))) = X0,
inference(superposition,[status(thm)],[c_91,c_150]) ).
cnf(c_229,plain,
multiply(multiply(identity,multiply(identity,multiply(X0,X1))),multiply(X1,multiply(X1,X1))) = multiply(identity,multiply(multiply(identity,multiply(X0,identity)),multiply(identity,multiply(identity,identity)))),
inference(superposition,[status(thm)],[c_150,c_88]) ).
cnf(c_231,plain,
multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X0),identity),identity))) = X0,
inference(light_normalisation,[status(thm)],[c_210,c_50]) ).
cnf(c_233,plain,
multiply(multiply(identity,multiply(identity,multiply(X0,X1))),multiply(X1,multiply(X1,X1))) = multiply(identity,multiply(multiply(identity,multiply(X0,identity)),identity)),
inference(light_normalisation,[status(thm)],[c_229,c_50]) ).
cnf(c_293,plain,
multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(identity,multiply(identity,multiply(multiply(multiply(identity,multiply(multiply(identity,identity),multiply(X1,identity))),identity),identity))))),multiply(multiply(X1,identity),multiply(multiply(X1,identity),multiply(X1,identity))))) = identity,
inference(superposition,[status(thm)],[c_91,c_138]) ).
cnf(c_304,plain,
multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(identity,multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(X1,identity))),identity),identity))))),multiply(multiply(X1,identity),multiply(multiply(X1,identity),multiply(X1,identity))))) = identity,
inference(light_normalisation,[status(thm)],[c_293,c_50]) ).
cnf(c_349,plain,
multiply(X0,multiply(multiply(X0,X1),multiply(multiply(multiply(multiply(X1,multiply(multiply(X1,X1),multiply(X2,X3))),multiply(X3,multiply(X3,X3))),multiply(multiply(multiply(X1,multiply(multiply(X1,X1),multiply(X2,X3))),multiply(X3,multiply(X3,X3))),multiply(multiply(X1,multiply(multiply(X1,X1),multiply(X2,X3))),multiply(X3,multiply(X3,X3))))),multiply(multiply(multiply(multiply(X1,multiply(multiply(X1,X1),multiply(X2,X3))),multiply(X3,multiply(X3,X3))),multiply(multiply(multiply(X1,multiply(multiply(X1,X1),multiply(X2,X3))),multiply(X3,multiply(X3,X3))),multiply(multiply(X1,multiply(multiply(X1,X1),multiply(X2,X3))),multiply(X3,multiply(X3,X3))))),multiply(multiply(multiply(X1,multiply(multiply(X1,X1),multiply(X2,X3))),multiply(X3,multiply(X3,X3))),multiply(multiply(multiply(X1,multiply(multiply(X1,X1),multiply(X2,X3))),multiply(X3,multiply(X3,X3))),multiply(multiply(X1,multiply(multiply(X1,X1),multiply(X2,X3))),multiply(X3,multiply(X3,X3))))))))) = multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),X2)),
inference(superposition,[status(thm)],[c_49,c_93]) ).
cnf(c_363,plain,
multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(multiply(multiply(X0,X0),multiply(X1,multiply(X2,multiply(X2,X2)))),X2))) = X1,
inference(superposition,[status(thm)],[c_93,c_49]) ).
cnf(c_376,plain,
multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),multiply(multiply(identity,multiply(identity,identity)),multiply(multiply(identity,multiply(identity,identity)),multiply(identity,multiply(identity,identity)))))),identity)) = X1,
inference(superposition,[status(thm)],[c_93,c_91]) ).
cnf(c_378,plain,
multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),identity)),identity)) = X1,
inference(light_normalisation,[status(thm)],[c_376,c_50]) ).
cnf(c_430,plain,
multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(identity,identity),multiply(multiply(multiply(identity,identity),multiply(identity,identity)),multiply(X0,X1))),identity),identity))) = multiply(multiply(identity,X0),multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1))))),
inference(superposition,[status(thm)],[c_93,c_231]) ).
cnf(c_432,plain,
multiply(multiply(identity,multiply(multiply(identity,identity),multiply(X0,identity))),identity) = multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),
inference(superposition,[status(thm)],[c_91,c_231]) ).
cnf(c_433,plain,
multiply(identity,multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(X0,identity))),identity),identity))) = multiply(multiply(identity,X0),identity),
inference(superposition,[status(thm)],[c_118,c_231]) ).
cnf(c_439,plain,
multiply(identity,multiply(multiply(multiply(identity,X0),identity),identity)) = multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),
inference(superposition,[status(thm)],[c_231,c_231]) ).
cnf(c_444,plain,
multiply(multiply(identity,X0),identity) = multiply(identity,multiply(X0,identity)),
inference(light_normalisation,[status(thm)],[c_433,c_149]) ).
cnf(c_445,plain,
multiply(multiply(identity,multiply(identity,multiply(X0,identity))),identity) = multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),
inference(light_normalisation,[status(thm)],[c_432,c_50]) ).
cnf(c_449,plain,
multiply(multiply(identity,X0),multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1))))) = multiply(identity,multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(X0,X1))),identity),identity))),
inference(light_normalisation,[status(thm)],[c_430,c_50]) ).
cnf(c_467,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),identity)) = multiply(X0,identity),
inference(superposition,[status(thm)],[c_130,c_444]) ).
cnf(c_468,plain,
multiply(X0,multiply(multiply(X0,multiply(identity,X1)),multiply(multiply(identity,multiply(identity,identity)),multiply(multiply(identity,multiply(identity,identity)),multiply(identity,multiply(identity,identity)))))) = multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(identity,multiply(X1,identity)))),
inference(superposition,[status(thm)],[c_444,c_93]) ).
cnf(c_485,plain,
multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(identity,multiply(X1,identity)))) = multiply(X0,multiply(multiply(X0,multiply(identity,X1)),identity)),
inference(light_normalisation,[status(thm)],[c_468,c_50]) ).
cnf(c_497,plain,
multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(multiply(X0,multiply(multiply(X0,identity),identity)),identity)) = multiply(X0,X0),
inference(superposition,[status(thm)],[c_101,c_378]) ).
cnf(c_499,plain,
multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,X2))),multiply(X2,multiply(X2,X2))) = multiply(multiply(X0,X0),multiply(multiply(X0,multiply(X1,identity)),identity)),
inference(superposition,[status(thm)],[c_49,c_378]) ).
cnf(c_502,plain,
multiply(multiply(X0,X0),multiply(multiply(X0,multiply(identity,identity)),identity)) = multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity),
inference(superposition,[status(thm)],[c_90,c_378]) ).
cnf(c_506,plain,
multiply(multiply(identity,identity),multiply(multiply(identity,multiply(X0,identity)),identity)) = multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),
inference(superposition,[status(thm)],[c_130,c_378]) ).
cnf(c_512,plain,
multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(multiply(multiply(X0,X0),multiply(X1,identity)),identity)) = multiply(multiply(X0,multiply(multiply(X0,X1),identity)),identity),
inference(superposition,[status(thm)],[c_378,c_378]) ).
cnf(c_519,plain,
multiply(identity,multiply(multiply(identity,multiply(X0,identity)),identity)) = multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),
inference(light_normalisation,[status(thm)],[c_506,c_50]) ).
cnf(c_520,plain,
multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity) = multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),
inference(light_normalisation,[status(thm)],[c_502,c_50]) ).
cnf(c_523,plain,
multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,multiply(X1,identity)),identity))) = X1,
inference(demodulation,[status(thm)],[c_49,c_499]) ).
cnf(c_525,plain,
multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))) = identity,
inference(demodulation,[status(thm)],[c_90,c_520]) ).
cnf(c_542,plain,
multiply(multiply(identity,X0),multiply(multiply(multiply(identity,X0),multiply(identity,X0)),multiply(multiply(identity,multiply(X0,identity)),identity))) = identity,
inference(superposition,[status(thm)],[c_444,c_525]) ).
cnf(c_563,plain,
multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,multiply(identity,multiply(X1,identity))),identity))) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_444,c_523]) ).
cnf(c_582,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1))) = X0,
inference(superposition,[status(thm)],[c_50,c_363]) ).
cnf(c_602,plain,
multiply(identity,multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1)) = multiply(multiply(identity,identity),multiply(multiply(identity,multiply(X0,identity)),identity)),
inference(superposition,[status(thm)],[c_582,c_378]) ).
cnf(c_606,plain,
multiply(identity,multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1)) = multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),
inference(light_normalisation,[status(thm)],[c_602,c_50,c_519]) ).
cnf(c_677,plain,
multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(multiply(multiply(X0,X0),identity),identity)) = multiply(multiply(X0,multiply(multiply(X0,identity),identity)),identity),
inference(superposition,[status(thm)],[c_101,c_520]) ).
cnf(c_688,plain,
multiply(multiply(X0,X0),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))) = X0,
inference(superposition,[status(thm)],[c_520,c_378]) ).
cnf(c_689,plain,
multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)))) = multiply(X0,X0),
inference(superposition,[status(thm)],[c_520,c_523]) ).
cnf(c_708,plain,
multiply(multiply(multiply(identity,X0),multiply(identity,X0)),multiply(multiply(multiply(identity,X0),multiply(identity,X0)),multiply(multiply(identity,multiply(X0,identity)),identity))) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_444,c_688]) ).
cnf(c_730,plain,
multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,multiply(identity,multiply(identity,multiply(X1,identity)))),identity))) = multiply(identity,multiply(identity,X1)),
inference(superposition,[status(thm)],[c_444,c_563]) ).
cnf(c_972,plain,
multiply(multiply(identity,X0),multiply(multiply(multiply(identity,X0),multiply(identity,X0)),multiply(identity,multiply(multiply(X0,identity),identity)))) = identity,
inference(superposition,[status(thm)],[c_444,c_542]) ).
cnf(c_1136,plain,
multiply(identity,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))) = multiply(multiply(multiply(identity,X0),multiply(identity,X0)),multiply(multiply(multiply(identity,X0),multiply(identity,identity)),identity)),
inference(superposition,[status(thm)],[c_972,c_499]) ).
cnf(c_1138,plain,
multiply(multiply(multiply(identity,X0),multiply(identity,X0)),multiply(multiply(multiply(identity,X0),multiply(identity,identity)),identity)) = multiply(multiply(multiply(identity,X0),multiply(identity,X0)),multiply(identity,multiply(multiply(X0,identity),identity))),
inference(superposition,[status(thm)],[c_972,c_378]) ).
cnf(c_1148,plain,
multiply(multiply(multiply(identity,X0),multiply(identity,X0)),multiply(multiply(identity,multiply(X0,identity)),identity)) = multiply(multiply(multiply(identity,X0),multiply(identity,X0)),multiply(identity,multiply(multiply(X0,identity),identity))),
inference(light_normalisation,[status(thm)],[c_1138,c_50,c_444]) ).
cnf(c_1152,plain,
multiply(identity,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))) = multiply(multiply(multiply(identity,X0),multiply(identity,X0)),multiply(multiply(identity,multiply(X0,identity)),identity)),
inference(light_normalisation,[status(thm)],[c_1136,c_50,c_444]) ).
cnf(c_1240,plain,
multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))) = multiply(multiply(identity,identity),multiply(multiply(identity,multiply(identity,identity)),identity)),
inference(superposition,[status(thm)],[c_161,c_378]) ).
cnf(c_1248,plain,
multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))) = identity,
inference(light_normalisation,[status(thm)],[c_1240,c_50]) ).
cnf(c_1281,plain,
multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity))) = multiply(multiply(X0,X0),multiply(multiply(X0,multiply(identity,identity)),identity)),
inference(superposition,[status(thm)],[c_1248,c_378]) ).
cnf(c_1289,plain,
multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity))) = multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),
inference(light_normalisation,[status(thm)],[c_1281,c_50]) ).
cnf(c_1574,plain,
multiply(multiply(identity,multiply(identity,multiply(X0,X1))),multiply(X1,multiply(X1,X1))) = multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),
inference(light_normalisation,[status(thm)],[c_233,c_519]) ).
cnf(c_1590,plain,
multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity)))),multiply(identity,multiply(identity,identity))) = multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X0,identity)),identity))),
inference(superposition,[status(thm)],[c_444,c_1574]) ).
cnf(c_1599,plain,
multiply(multiply(identity,multiply(identity,X0)),multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))))) = multiply(identity,multiply(identity,multiply(multiply(multiply(X0,X0),identity),identity))),
inference(superposition,[status(thm)],[c_688,c_1574]) ).
cnf(c_1612,plain,
multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity)))),identity) = X0,
inference(light_normalisation,[status(thm)],[c_1590,c_50,c_130,c_519]) ).
cnf(c_2111,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity)))),X1)) = multiply(identity,multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(X0,X1))),identity),identity))),
inference(superposition,[status(thm)],[c_1574,c_606]) ).
cnf(c_2118,plain,
multiply(multiply(identity,identity),multiply(multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),identity)),identity)) = multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1),
inference(superposition,[status(thm)],[c_606,c_378]) ).
cnf(c_2137,plain,
multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1) = multiply(identity,multiply(multiply(X0,identity),identity)),
inference(light_normalisation,[status(thm)],[c_2118,c_50,c_467]) ).
cnf(c_2138,plain,
multiply(identity,multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(X0,X1))),identity),identity))) = multiply(identity,multiply(X0,X1)),
inference(light_normalisation,[status(thm)],[c_2111,c_130]) ).
cnf(c_2178,plain,
multiply(multiply(identity,multiply(multiply(X0,X0),multiply(multiply(X0,multiply(X1,identity)),identity))),X2) = multiply(identity,multiply(multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,X2))),identity),identity)),
inference(superposition,[status(thm)],[c_499,c_2137]) ).
cnf(c_2183,plain,
multiply(multiply(X0,multiply(multiply(X0,X0),multiply(identity,multiply(multiply(X1,identity),identity)))),multiply(X2,multiply(X2,X2))) = multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),identity)),identity)),
inference(superposition,[status(thm)],[c_2137,c_499]) ).
cnf(c_2781,plain,
multiply(X0,multiply(multiply(X0,identity),multiply(multiply(multiply(multiply(identity,multiply(identity,multiply(X1,X2))),multiply(X2,multiply(X2,X2))),multiply(multiply(multiply(identity,multiply(identity,multiply(X1,X2))),multiply(X2,multiply(X2,X2))),multiply(multiply(identity,multiply(identity,multiply(X1,X2))),multiply(X2,multiply(X2,X2))))),multiply(multiply(multiply(multiply(identity,multiply(identity,multiply(X1,X2))),multiply(X2,multiply(X2,X2))),multiply(multiply(multiply(identity,multiply(identity,multiply(X1,X2))),multiply(X2,multiply(X2,X2))),multiply(multiply(identity,multiply(identity,multiply(X1,X2))),multiply(X2,multiply(X2,X2))))),multiply(multiply(multiply(identity,multiply(identity,multiply(X1,X2))),multiply(X2,multiply(X2,X2))),multiply(multiply(multiply(identity,multiply(identity,multiply(X1,X2))),multiply(X2,multiply(X2,X2))),multiply(multiply(identity,multiply(identity,multiply(X1,X2))),multiply(X2,multiply(X2,X2))))))))) = multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),X1)),
inference(superposition,[status(thm)],[c_50,c_349]) ).
cnf(c_3209,plain,
multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(identity,multiply(identity,multiply(X1,identity))))),identity)) = multiply(identity,multiply(identity,X1)),
inference(superposition,[status(thm)],[c_730,c_110]) ).
cnf(c_3212,plain,
multiply(identity,multiply(multiply(multiply(identity,identity),multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity)))),identity)),identity)) = multiply(multiply(identity,multiply(identity,X0)),identity),
inference(superposition,[status(thm)],[c_730,c_444]) ).
cnf(c_3221,plain,
multiply(multiply(identity,multiply(identity,X0)),identity) = multiply(identity,multiply(identity,multiply(X0,identity))),
inference(light_normalisation,[status(thm)],[c_3212,c_50,c_444,c_1612]) ).
cnf(c_3646,plain,
multiply(X0,multiply(multiply(X0,identity),multiply(multiply(multiply(multiply(identity,multiply(identity,multiply(X1,identity))),identity),multiply(multiply(multiply(identity,multiply(identity,multiply(X1,identity))),identity),multiply(multiply(identity,multiply(identity,multiply(X1,identity))),identity))),multiply(multiply(multiply(multiply(identity,multiply(identity,multiply(X1,identity))),identity),multiply(multiply(multiply(identity,multiply(identity,multiply(X1,identity))),identity),multiply(multiply(identity,multiply(identity,multiply(X1,identity))),identity))),multiply(multiply(multiply(identity,multiply(identity,multiply(X1,identity))),identity),multiply(multiply(multiply(identity,multiply(identity,multiply(X1,identity))),identity),multiply(multiply(identity,multiply(identity,multiply(X1,identity))),identity))))))) = multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),X1)),
inference(superposition,[status(thm)],[c_50,c_2781]) ).
cnf(c_4337,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity))))),identity)) = multiply(identity,multiply(identity,X0)),
inference(superposition,[status(thm)],[c_50,c_3209]) ).
cnf(c_4558,plain,
multiply(multiply(X0,multiply(multiply(X0,multiply(identity,X1)),identity)),multiply(multiply(X1,identity),multiply(multiply(X1,identity),multiply(X1,identity)))) = multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(multiply(multiply(X0,X0),multiply(identity,identity)),identity)),
inference(superposition,[status(thm)],[c_485,c_499]) ).
cnf(c_4560,plain,
multiply(X0,multiply(multiply(X0,identity),multiply(multiply(multiply(X1,identity),multiply(multiply(X1,identity),multiply(X1,identity))),multiply(multiply(multiply(X1,identity),multiply(multiply(X1,identity),multiply(X1,identity))),multiply(multiply(X1,identity),multiply(multiply(X1,identity),multiply(X1,identity))))))) = multiply(X0,multiply(multiply(X0,multiply(identity,X1)),identity)),
inference(superposition,[status(thm)],[c_485,c_93]) ).
cnf(c_4577,plain,
multiply(multiply(X0,multiply(multiply(X0,multiply(identity,X1)),identity)),multiply(multiply(X1,identity),multiply(multiply(X1,identity),multiply(X1,identity)))) = multiply(multiply(X0,multiply(multiply(X0,identity),identity)),identity),
inference(light_normalisation,[status(thm)],[c_4558,c_50,c_677]) ).
cnf(c_4581,plain,
multiply(X0,multiply(multiply(X0,multiply(identity,multiply(identity,multiply(identity,multiply(X1,identity))))),identity)) = multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),X1)),
inference(demodulation,[status(thm)],[c_3646,c_4560]) ).
cnf(c_4827,plain,
multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(multiply(X0,multiply(multiply(X0,identity),identity)),identity)) = multiply(multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X0,X0))),identity)),identity),
inference(superposition,[status(thm)],[c_101,c_512]) ).
cnf(c_4831,plain,
multiply(multiply(X0,multiply(multiply(X0,multiply(X0,multiply(multiply(X0,X1),identity))),identity)),identity) = multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(X1,identity)),
inference(superposition,[status(thm)],[c_378,c_512]) ).
cnf(c_4859,plain,
multiply(multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),X1)),identity)),identity) = X1,
inference(superposition,[status(thm)],[c_512,c_378]) ).
cnf(c_4865,plain,
multiply(multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X0,X0))),identity)),identity) = multiply(X0,X0),
inference(light_normalisation,[status(thm)],[c_4827,c_497]) ).
cnf(c_4906,plain,
multiply(multiply(X0,multiply(multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(X0,X1))),identity)),identity) = multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1)))),
inference(superposition,[status(thm)],[c_93,c_4859]) ).
cnf(c_4967,plain,
multiply(multiply(X0,multiply(multiply(X0,X0),X1)),identity) = multiply(multiply(X0,X0),multiply(multiply(X0,X1),identity)),
inference(superposition,[status(thm)],[c_4859,c_378]) ).
cnf(c_5005,plain,
multiply(multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,X1),identity))),identity) = X1,
inference(demodulation,[status(thm)],[c_4859,c_4967]) ).
cnf(c_5223,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(X0,X0),multiply(multiply(X0,X1),identity)),identity)))) = multiply(X0,multiply(multiply(X0,X0),X1)),
inference(superposition,[status(thm)],[c_4967,c_130]) ).
cnf(c_5368,plain,
multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),X1)),identity)) = multiply(identity,multiply(identity,multiply(identity,multiply(X1,identity)))),
inference(superposition,[status(thm)],[c_4581,c_378]) ).
cnf(c_5647,plain,
multiply(multiply(multiply(identity,X0),multiply(identity,X0)),multiply(multiply(multiply(identity,X0),multiply(identity,X0)),multiply(identity,multiply(multiply(X0,identity),identity)))) = multiply(identity,X0),
inference(light_normalisation,[status(thm)],[c_708,c_1148]) ).
cnf(c_5732,plain,
multiply(identity,multiply(multiply(multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,X1),X2))),identity),identity)) = multiply(multiply(identity,X1),X2),
inference(superposition,[status(thm)],[c_378,c_2178]) ).
cnf(c_5751,plain,
multiply(identity,multiply(multiply(multiply(X0,multiply(multiply(X0,X0),multiply(identity,X1))),identity),identity)) = multiply(multiply(identity,multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))),X1),
inference(superposition,[status(thm)],[c_50,c_2178]) ).
cnf(c_6004,plain,
multiply(identity,multiply(multiply(multiply(X0,X0),multiply(multiply(X0,multiply(identity,X1)),identity)),identity)) = multiply(multiply(identity,multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))),X1),
inference(superposition,[status(thm)],[c_4967,c_5751]) ).
cnf(c_6038,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))),X1))) = multiply(X0,multiply(multiply(X0,X0),multiply(identity,X1))),
inference(superposition,[status(thm)],[c_5751,c_130]) ).
cnf(c_6112,plain,
multiply(identity,multiply(multiply(multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,X0),multiply(multiply(X0,multiply(X1,identity)),identity)))),identity),identity)) = multiply(multiply(identity,multiply(multiply(X0,X0),multiply(X1,X2))),multiply(X2,multiply(X2,X2))),
inference(superposition,[status(thm)],[c_499,c_5732]) ).
cnf(c_6121,plain,
multiply(multiply(identity,X0),multiply(multiply(X0,multiply(multiply(X0,X1),identity)),identity)) = multiply(identity,multiply(multiply(multiply(X0,multiply(multiply(X0,X0),X1)),identity),identity)),
inference(superposition,[status(thm)],[c_378,c_5732]) ).
cnf(c_6182,plain,
multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,X1),X2))) = multiply(identity,multiply(identity,multiply(multiply(identity,X1),X2))),
inference(superposition,[status(thm)],[c_5732,c_130]) ).
cnf(c_6197,plain,
multiply(multiply(identity,X0),multiply(multiply(X0,multiply(multiply(X0,X1),identity)),identity)) = multiply(identity,multiply(multiply(multiply(X0,X0),multiply(multiply(X0,X1),identity)),identity)),
inference(light_normalisation,[status(thm)],[c_6121,c_4967]) ).
cnf(c_6368,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(X0,X0),multiply(X1,X2))),multiply(X2,multiply(X2,X2))))) = multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,X0),multiply(multiply(X0,multiply(X1,identity)),identity)))),
inference(superposition,[status(thm)],[c_499,c_6182]) ).
cnf(c_6409,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))),X1))) = multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(X0,X1))),
inference(superposition,[status(thm)],[c_688,c_6182]) ).
cnf(c_6424,plain,
multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),X1)),multiply(multiply(X2,multiply(X2,X2)),multiply(multiply(X2,multiply(X2,X2)),multiply(X2,multiply(X2,X2)))))) = multiply(identity,multiply(identity,multiply(multiply(identity,X1),X2))),
inference(superposition,[status(thm)],[c_6182,c_93]) ).
cnf(c_6433,plain,
multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),X2)),identity)) = multiply(multiply(identity,multiply(identity,multiply(multiply(identity,X1),X2))),identity),
inference(superposition,[status(thm)],[c_6182,c_4967]) ).
cnf(c_6474,plain,
multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(X0,X1))) = multiply(X0,multiply(multiply(X0,X0),multiply(identity,X1))),
inference(light_normalisation,[status(thm)],[c_6409,c_6038]) ).
cnf(c_6766,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(X0,multiply(identity,X1)),identity)),multiply(multiply(X1,identity),multiply(multiply(X1,identity),multiply(X1,identity)))))) = multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,identity),identity)),identity))),
inference(superposition,[status(thm)],[c_4577,c_6182]) ).
cnf(c_6769,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(X0,multiply(identity,X1)),identity)),multiply(multiply(X1,identity),multiply(multiply(X1,identity),multiply(X1,identity)))))) = multiply(X0,identity),
inference(light_normalisation,[status(thm)],[c_6766,c_198]) ).
cnf(c_7332,plain,
multiply(multiply(identity,identity),multiply(identity,multiply(multiply(multiply(identity,X0),X1),identity))) = multiply(multiply(identity,multiply(identity,multiply(multiply(identity,X0),X1))),identity),
inference(superposition,[status(thm)],[c_444,c_6433]) ).
cnf(c_7335,plain,
multiply(multiply(X0,X0),multiply(multiply(X0,X0),multiply(multiply(X0,X1),identity))) = multiply(multiply(identity,multiply(identity,multiply(multiply(identity,X0),X1))),identity),
inference(superposition,[status(thm)],[c_4967,c_6433]) ).
cnf(c_7345,plain,
multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),X1)),identity)) = multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(identity,multiply(identity,multiply(identity,multiply(X1,identity))))),identity))),identity),
inference(superposition,[status(thm)],[c_4581,c_6433]) ).
cnf(c_7368,plain,
multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(X0,multiply(identity,X1)),identity)),multiply(multiply(X1,identity),multiply(multiply(X1,identity),multiply(X1,identity)))))),identity) = multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,multiply(multiply(X0,identity),identity)),identity)),identity)),
inference(superposition,[status(thm)],[c_4577,c_6433]) ).
cnf(c_7439,plain,
multiply(multiply(identity,multiply(identity,multiply(multiply(identity,X0),X1))),identity) = multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X0),X1),identity))),
inference(light_normalisation,[status(thm)],[c_7332,c_50]) ).
cnf(c_7464,plain,
multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity))))),identity))),identity) = multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity)))),
inference(light_normalisation,[status(thm)],[c_7345,c_5368]) ).
cnf(c_7465,plain,
multiply(multiply(identity,multiply(identity,multiply(identity,X0))),identity) = multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity)))),
inference(light_normalisation,[status(thm)],[c_7464,c_4337]) ).
cnf(c_7476,plain,
multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,multiply(multiply(X0,identity),identity)),identity)),identity)) = multiply(multiply(X0,identity),identity),
inference(light_normalisation,[status(thm)],[c_7368,c_6769]) ).
cnf(c_7493,plain,
multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),X2)),identity)) = multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X1),X2),identity))),
inference(demodulation,[status(thm)],[c_6433,c_7439]) ).
cnf(c_7776,plain,
multiply(multiply(X0,X0),multiply(multiply(X0,X0),multiply(multiply(X0,X1),identity))) = multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X0),X1),identity))),
inference(light_normalisation,[status(thm)],[c_7335,c_7439]) ).
cnf(c_7779,plain,
multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(multiply(X0,multiply(multiply(X0,identity),identity)),identity)) = multiply(identity,multiply(identity,multiply(multiply(multiply(identity,multiply(X0,X0)),identity),identity))),
inference(superposition,[status(thm)],[c_677,c_7776]) ).
cnf(c_7833,plain,
multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,X1),identity))),identity)) = multiply(multiply(X0,multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X0),X1),identity)))),identity),
inference(superposition,[status(thm)],[c_7776,c_4967]) ).
cnf(c_7841,plain,
multiply(multiply(X0,multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X0),X1),identity)))),identity) = multiply(multiply(X0,X0),X1),
inference(light_normalisation,[status(thm)],[c_7833,c_5005]) ).
cnf(c_7933,plain,
multiply(multiply(X0,X0),multiply(multiply(multiply(identity,X0),multiply(identity,X0)),multiply(identity,multiply(multiply(X0,identity),identity)))) = multiply(multiply(X0,multiply(identity,multiply(identity,multiply(identity,identity)))),identity),
inference(superposition,[status(thm)],[c_972,c_7841]) ).
cnf(c_7943,plain,
multiply(multiply(identity,multiply(identity,multiply(identity,multiply(multiply(identity,X0),identity)))),identity) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_50,c_7841]) ).
cnf(c_7988,plain,
multiply(multiply(identity,multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity))))),identity) = multiply(identity,X0),
inference(light_normalisation,[status(thm)],[c_7943,c_444]) ).
cnf(c_7998,plain,
multiply(multiply(X0,X0),multiply(multiply(multiply(identity,X0),multiply(identity,X0)),multiply(identity,multiply(multiply(X0,identity),identity)))) = multiply(multiply(X0,identity),identity),
inference(light_normalisation,[status(thm)],[c_7933,c_50]) ).
cnf(c_8533,plain,
multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,multiply(multiply(X2,identity),identity)))),multiply(multiply(X2,X2),multiply(multiply(X2,identity),identity))) = multiply(multiply(X0,X0),multiply(multiply(X0,multiply(X1,identity)),identity)),
inference(superposition,[status(thm)],[c_1289,c_499]) ).
cnf(c_9056,plain,
multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(multiply(X0,multiply(multiply(X0,identity),identity)),identity)) = multiply(multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X0,X0))),identity)),identity),
inference(superposition,[status(thm)],[c_199,c_4831]) ).
cnf(c_9164,plain,
multiply(identity,multiply(identity,multiply(multiply(multiply(identity,multiply(X0,X0)),identity),identity))) = multiply(X0,X0),
inference(light_normalisation,[status(thm)],[c_9056,c_4865,c_7779]) ).
cnf(c_9290,plain,
multiply(multiply(multiply(identity,X0),multiply(identity,X0)),multiply(multiply(multiply(identity,X0),multiply(identity,identity)),identity)) = multiply(identity,multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))),
inference(superposition,[status(thm)],[c_972,c_8533]) ).
cnf(c_9298,plain,
multiply(multiply(X0,multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X0),identity),identity)))),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))) = multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity)),
inference(superposition,[status(thm)],[c_7776,c_8533]) ).
cnf(c_9344,plain,
multiply(multiply(multiply(identity,X0),multiply(identity,X0)),multiply(identity,multiply(multiply(X0,identity),identity))) = multiply(identity,multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))),
inference(light_normalisation,[status(thm)],[c_9290,c_50,c_444,c_1148]) ).
cnf(c_9350,plain,
multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity)) = multiply(multiply(X0,X0),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))),
inference(light_normalisation,[status(thm)],[c_9298,c_130,c_439]) ).
cnf(c_9366,plain,
multiply(multiply(X0,X0),multiply(identity,multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)))) = multiply(multiply(X0,identity),identity),
inference(demodulation,[status(thm)],[c_7998,c_9344]) ).
cnf(c_9368,plain,
multiply(multiply(multiply(identity,X0),multiply(identity,X0)),multiply(identity,multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)))) = multiply(identity,X0),
inference(demodulation,[status(thm)],[c_5647,c_9344]) ).
cnf(c_9369,plain,
multiply(multiply(identity,X0),multiply(identity,multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)))) = identity,
inference(demodulation,[status(thm)],[c_972,c_9344]) ).
cnf(c_9426,plain,
multiply(multiply(identity,multiply(X0,X0)),multiply(identity,multiply(multiply(X0,multiply(multiply(X0,identity),identity)),identity))) = identity,
inference(superposition,[status(thm)],[c_677,c_9369]) ).
cnf(c_9430,plain,
multiply(multiply(identity,multiply(identity,X0)),multiply(identity,multiply(multiply(multiply(identity,X0),multiply(identity,X0)),multiply(multiply(identity,multiply(X0,identity)),identity)))) = identity,
inference(superposition,[status(thm)],[c_444,c_9369]) ).
cnf(c_9445,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)))),X1))) = multiply(multiply(identity,X0),multiply(multiply(multiply(identity,X0),multiply(identity,X0)),multiply(identity,X1))),
inference(superposition,[status(thm)],[c_9369,c_6182]) ).
cnf(c_9466,plain,
multiply(multiply(identity,multiply(identity,X0)),multiply(identity,multiply(identity,multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))))) = identity,
inference(light_normalisation,[status(thm)],[c_9430,c_1148,c_9344]) ).
cnf(c_9693,plain,
multiply(multiply(identity,multiply(identity,multiply(X0,X0))),multiply(identity,multiply(identity,multiply(multiply(X0,multiply(multiply(X0,identity),identity)),identity)))) = identity,
inference(superposition,[status(thm)],[c_677,c_9466]) ).
cnf(c_10275,plain,
multiply(multiply(multiply(identity,X0),multiply(identity,X0)),multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))))) = multiply(multiply(multiply(identity,X0),multiply(identity,X0)),multiply(multiply(multiply(identity,X0),multiply(identity,identity)),identity)),
inference(superposition,[status(thm)],[c_9368,c_499]) ).
cnf(c_10305,plain,
multiply(multiply(multiply(identity,X0),multiply(identity,X0)),multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))))) = multiply(identity,multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))),
inference(light_normalisation,[status(thm)],[c_10275,c_50,c_444,c_1148,c_9344]) ).
cnf(c_10717,plain,
multiply(multiply(identity,X0),multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1))))) = multiply(identity,multiply(X0,X1)),
inference(light_normalisation,[status(thm)],[c_449,c_2138]) ).
cnf(c_10733,plain,
multiply(multiply(X0,multiply(multiply(X0,X0),X1)),multiply(multiply(X2,multiply(X2,X2)),multiply(multiply(X2,multiply(X2,X2)),multiply(X2,multiply(X2,X2))))) = multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X0,X0),multiply(multiply(X0,X1),identity)),identity))),X2)),
inference(superposition,[status(thm)],[c_5223,c_10717]) ).
cnf(c_11655,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,multiply(identity,X0)),multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))))))) = multiply(multiply(identity,X0),multiply(multiply(multiply(identity,X0),multiply(identity,X0)),multiply(multiply(multiply(identity,X0),multiply(identity,X0)),multiply(multiply(multiply(identity,X0),multiply(identity,identity)),identity)))),
inference(superposition,[status(thm)],[c_9368,c_6368]) ).
cnf(c_11660,plain,
multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)))) = multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(X0,X0),identity)),identity))),
inference(superposition,[status(thm)],[c_50,c_6368]) ).
cnf(c_11716,plain,
multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,X0),multiply(multiply(X0,multiply(X1,identity)),identity)))) = multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(X0,X0),multiply(X1,identity))),identity))),
inference(superposition,[status(thm)],[c_50,c_6368]) ).
cnf(c_11813,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(X0,X0),multiply(X1,X2))),multiply(X2,multiply(X2,X2))))) = multiply(identity,multiply(identity,multiply(multiply(identity,X0),multiply(multiply(X0,multiply(X1,identity)),identity)))),
inference(superposition,[status(thm)],[c_6368,c_6182]) ).
cnf(c_11819,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(X0,X0),identity)),identity))) = multiply(X0,X0),
inference(light_normalisation,[status(thm)],[c_11660,c_689]) ).
cnf(c_11873,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(X0,X0),identity),identity))))) = multiply(multiply(identity,X0),multiply(identity,X0)),
inference(light_normalisation,[status(thm)],[c_11655,c_50,c_444,c_1148,c_1599,c_9344,c_9368]) ).
cnf(c_11904,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(X0,X0),multiply(X1,X2))),multiply(X2,multiply(X2,X2))))) = multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(X0,X0),multiply(X1,identity))),identity))),
inference(demodulation,[status(thm)],[c_6368,c_11716]) ).
cnf(c_12060,plain,
multiply(multiply(identity,X0),multiply(identity,X0)) = multiply(identity,multiply(X0,X0)),
inference(superposition,[status(thm)],[c_130,c_11873]) ).
cnf(c_12119,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(X0,X0),identity),identity))))) = multiply(identity,multiply(X0,X0)),
inference(demodulation,[status(thm)],[c_11873,c_12060]) ).
cnf(c_12121,plain,
multiply(multiply(identity,multiply(X0,X0)),multiply(identity,multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)))) = multiply(identity,X0),
inference(demodulation,[status(thm)],[c_9368,c_12060]) ).
cnf(c_12177,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))))) = multiply(X0,X0),
inference(superposition,[status(thm)],[c_130,c_12060]) ).
cnf(c_12181,plain,
multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity))))),identity),multiply(multiply(identity,multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity))))),identity))) = multiply(multiply(multiply(identity,identity),multiply(multiply(multiply(identity,identity),multiply(identity,identity)),X0)),multiply(multiply(identity,identity),multiply(multiply(multiply(identity,identity),multiply(identity,identity)),X0))),
inference(superposition,[status(thm)],[c_4581,c_12060]) ).
cnf(c_12220,plain,
multiply(multiply(multiply(identity,X0),multiply(multiply(identity,multiply(X0,X0)),multiply(X1,X2))),multiply(X2,multiply(X2,X2))) = multiply(multiply(identity,multiply(X0,X0)),multiply(multiply(multiply(identity,X0),multiply(X1,identity)),identity)),
inference(superposition,[status(thm)],[c_12060,c_499]) ).
cnf(c_12267,plain,
multiply(multiply(X0,multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X0,X0)),identity)))),identity) = multiply(multiply(X0,X0),multiply(identity,X0)),
inference(superposition,[status(thm)],[c_12060,c_7841]) ).
cnf(c_12320,plain,
multiply(multiply(identity,multiply(identity,X0)),multiply(identity,multiply(identity,X0))) = multiply(identity,multiply(identity,multiply(X0,X0))),
inference(light_normalisation,[status(thm)],[c_12181,c_50,c_7988,c_12060]) ).
cnf(c_12552,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(X0,X0),multiply(X1,identity))),identity))) = multiply(identity,multiply(identity,multiply(multiply(identity,X0),multiply(multiply(X0,multiply(X1,identity)),identity)))),
inference(light_normalisation,[status(thm)],[c_11904,c_11813]) ).
cnf(c_12554,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,X0),multiply(multiply(X0,multiply(X1,identity)),identity)))) = multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(X0,X0),multiply(X1,identity)),identity)))),
inference(superposition,[status(thm)],[c_444,c_12552]) ).
cnf(c_12649,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(X0,X0),multiply(X1,identity))),identity))) = multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(X0,X0),multiply(X1,identity)),identity)))),
inference(demodulation,[status(thm)],[c_12552,c_12554]) ).
cnf(c_12965,plain,
multiply(multiply(multiply(identity,X0),multiply(identity,X0)),multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))))) = multiply(multiply(identity,multiply(X0,X0)),multiply(multiply(multiply(identity,X0),multiply(identity,identity)),identity)),
inference(superposition,[status(thm)],[c_12121,c_12220]) ).
cnf(c_12978,plain,
multiply(multiply(identity,multiply(X0,X0)),multiply(multiply(identity,multiply(X0,identity)),identity)) = multiply(identity,multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))),
inference(light_normalisation,[status(thm)],[c_12965,c_50,c_444,c_10305]) ).
cnf(c_13192,plain,
multiply(X0,multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X0,X0),multiply(multiply(X0,X1),identity)),identity))),X2))) = multiply(identity,multiply(identity,multiply(multiply(identity,X1),X2))),
inference(light_normalisation,[status(thm)],[c_6424,c_10733]) ).
cnf(c_13268,plain,
multiply(multiply(identity,X0),multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(identity,X0),multiply(identity,X0)),multiply(identity,identity)),identity))),X1))) = multiply(identity,multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)))),X1))),
inference(superposition,[status(thm)],[c_9369,c_13192]) ).
cnf(c_13364,plain,
multiply(multiply(identity,X0),multiply(multiply(identity,multiply(X0,X0)),multiply(identity,X1))) = multiply(multiply(identity,X0),multiply(identity,multiply(multiply(X0,X0),X1))),
inference(light_normalisation,[status(thm)],[c_13268,c_50,c_9164,c_9445,c_12060]) ).
cnf(c_14212,plain,
multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(identity,multiply(identity,multiply(X1,multiply(X1,X1)))),identity)),identity)) = multiply(multiply(X0,multiply(multiply(X0,X0),identity)),multiply(X1,multiply(X1,X1))),
inference(superposition,[status(thm)],[c_50,c_2183]) ).
cnf(c_14318,plain,
multiply(identity,multiply(multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X0,multiply(X0,X0)))),identity)),identity)) = multiply(identity,multiply(X0,multiply(X0,X0))),
inference(superposition,[status(thm)],[c_50,c_14212]) ).
cnf(c_14362,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X0,multiply(X0,X0)))),identity)),identity))) = multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),identity)),multiply(X0,multiply(X0,X0)))),
inference(superposition,[status(thm)],[c_14212,c_6182]) ).
cnf(c_14422,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(X0,identity),identity)),multiply(identity,multiply(multiply(X0,identity),identity))))) = multiply(X0,X0),
inference(superposition,[status(thm)],[c_12060,c_12177]) ).
cnf(c_14560,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity))))) = multiply(X0,X0),
inference(superposition,[status(thm)],[c_12060,c_14422]) ).
cnf(c_14622,plain,
multiply(multiply(identity,multiply(multiply(identity,identity),multiply(multiply(identity,identity),identity))),multiply(multiply(identity,multiply(multiply(X0,identity),identity)),multiply(identity,multiply(multiply(X0,identity),identity)))) = multiply(identity,multiply(multiply(multiply(identity,identity),multiply(multiply(X0,X0),identity)),identity)),
inference(superposition,[status(thm)],[c_14422,c_6004]) ).
cnf(c_14636,plain,
multiply(identity,multiply(multiply(identity,multiply(multiply(X0,identity),identity)),multiply(identity,multiply(multiply(X0,identity),identity)))) = multiply(identity,multiply(multiply(identity,multiply(multiply(X0,X0),identity)),identity)),
inference(light_normalisation,[status(thm)],[c_14622,c_50]) ).
cnf(c_14758,plain,
multiply(multiply(identity,multiply(multiply(identity,identity),multiply(multiply(identity,identity),identity))),multiply(identity,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))) = multiply(identity,multiply(multiply(multiply(identity,identity),multiply(multiply(X0,X0),identity)),identity)),
inference(superposition,[status(thm)],[c_14560,c_6004]) ).
cnf(c_14771,plain,
multiply(identity,multiply(identity,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))) = multiply(identity,multiply(multiply(identity,multiply(multiply(X0,X0),identity)),identity)),
inference(light_normalisation,[status(thm)],[c_14758,c_50]) ).
cnf(c_15138,plain,
multiply(multiply(identity,multiply(X0,X0)),multiply(identity,multiply(multiply(X0,identity),identity))) = multiply(identity,multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))),
inference(superposition,[status(thm)],[c_444,c_12978]) ).
cnf(c_15509,plain,
multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),identity)),multiply(X1,multiply(X1,X1)))) = multiply(identity,multiply(identity,multiply(X1,multiply(X1,X1)))),
inference(light_normalisation,[status(thm)],[c_14362,c_14318]) ).
cnf(c_15709,plain,
multiply(multiply(identity,identity),multiply(multiply(identity,multiply(multiply(identity,multiply(identity,identity)),multiply(identity,X0))),identity)) = multiply(multiply(identity,multiply(multiply(identity,identity),multiply(identity,multiply(multiply(identity,identity),X0)))),identity),
inference(superposition,[status(thm)],[c_13364,c_4967]) ).
cnf(c_15729,plain,
multiply(multiply(identity,multiply(identity,multiply(identity,multiply(identity,X0)))),identity) = multiply(identity,multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity))))),
inference(light_normalisation,[status(thm)],[c_15709,c_50,c_7465]) ).
cnf(c_15911,plain,
multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0)))) = multiply(multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),multiply(identity,X0))),identity)),identity),
inference(light_normalisation,[status(thm)],[c_4906,c_6474]) ).
cnf(c_15937,plain,
multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0)))) = multiply(multiply(multiply(identity,identity),multiply(multiply(identity,multiply(multiply(identity,identity),multiply(identity,X0))),identity)),identity),
inference(superposition,[status(thm)],[c_6474,c_15911]) ).
cnf(c_16058,plain,
multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0)))) = multiply(identity,X0),
inference(light_normalisation,[status(thm)],[c_15937,c_50,c_7465,c_7988]) ).
cnf(c_16247,plain,
multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)))) = multiply(identity,multiply(multiply(X0,identity),identity)),
inference(superposition,[status(thm)],[c_1289,c_16058]) ).
cnf(c_16269,plain,
multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),identity)),multiply(identity,X1))) = multiply(identity,multiply(identity,multiply(identity,X1))),
inference(superposition,[status(thm)],[c_16058,c_15509]) ).
cnf(c_16274,plain,
multiply(multiply(identity,multiply(X0,multiply(identity,X1))),multiply(X1,multiply(X1,X1))) = multiply(identity,multiply(multiply(X0,identity),identity)),
inference(superposition,[status(thm)],[c_16058,c_2137]) ).
cnf(c_16276,plain,
multiply(multiply(identity,X0),multiply(multiply(identity,X0),multiply(identity,X0))) = multiply(identity,multiply(X0,multiply(X0,X0))),
inference(superposition,[status(thm)],[c_16058,c_16058]) ).
cnf(c_16284,plain,
multiply(multiply(identity,X0),multiply(identity,multiply(X0,X0))) = multiply(identity,multiply(X0,multiply(X0,X0))),
inference(light_normalisation,[status(thm)],[c_16276,c_12060]) ).
cnf(c_16956,plain,
multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(X0,X0),multiply(X1,identity)),identity)))),identity),identity)) = multiply(multiply(identity,multiply(multiply(X0,X0),multiply(X1,X2))),multiply(X2,multiply(X2,X2))),
inference(light_normalisation,[status(thm)],[c_6112,c_11716,c_12649]) ).
cnf(c_16982,plain,
multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(X0,X0),identity),identity)))),identity),identity)) = multiply(multiply(identity,multiply(multiply(X0,X0),multiply(identity,X1))),multiply(X1,multiply(X1,X1))),
inference(superposition,[status(thm)],[c_50,c_16956]) ).
cnf(c_17002,plain,
multiply(multiply(identity,multiply(multiply(X0,identity),identity)),multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))))) = multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(X0,X0),multiply(identity,identity)),identity)))),identity),identity)),
inference(superposition,[status(thm)],[c_9366,c_16956]) ).
cnf(c_17004,plain,
multiply(multiply(identity,multiply(multiply(identity,identity),multiply(identity,multiply(multiply(identity,identity),X0)))),multiply(multiply(identity,X0),multiply(multiply(identity,X0),multiply(identity,X0)))) = multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(identity,identity),multiply(multiply(identity,multiply(identity,identity)),identity)),identity)))),identity),identity)),
inference(superposition,[status(thm)],[c_13364,c_16956]) ).
cnf(c_17179,plain,
multiply(multiply(identity,multiply(identity,multiply(identity,multiply(identity,X0)))),multiply(identity,multiply(X0,multiply(X0,X0)))) = identity,
inference(light_normalisation,[status(thm)],[c_17004,c_50,c_12060,c_16284]) ).
cnf(c_17200,plain,
multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(X0,X0),identity),identity)))),identity),identity)) = multiply(multiply(identity,multiply(multiply(X0,identity),identity)),multiply(identity,multiply(multiply(X0,identity),identity))),
inference(light_normalisation,[status(thm)],[c_17002,c_50,c_16247]) ).
cnf(c_17448,plain,
multiply(multiply(identity,multiply(identity,identity)),multiply(multiply(identity,multiply(X0,multiply(X0,X0))),multiply(multiply(identity,multiply(X0,multiply(X0,X0))),multiply(identity,multiply(X0,multiply(X0,X0)))))) = multiply(identity,multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(identity,multiply(identity,X0)))),identity),identity))),
inference(superposition,[status(thm)],[c_17179,c_1574]) ).
cnf(c_17462,plain,
multiply(identity,multiply(multiply(identity,multiply(X0,multiply(X0,X0))),multiply(multiply(identity,multiply(X0,multiply(X0,X0))),multiply(identity,multiply(X0,multiply(X0,X0)))))) = multiply(identity,multiply(identity,multiply(identity,X0))),
inference(light_normalisation,[status(thm)],[c_17448,c_50,c_7988,c_15729]) ).
cnf(c_17526,plain,
multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),identity)),X1)) = multiply(identity,multiply(identity,X1)),
inference(superposition,[status(thm)],[c_130,c_16269]) ).
cnf(c_17632,plain,
multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,identity),identity)),X1)) = multiply(identity,multiply(identity,X1)),
inference(superposition,[status(thm)],[c_101,c_17526]) ).
cnf(c_17643,plain,
multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),identity)),identity)),identity)) = multiply(multiply(X0,multiply(identity,multiply(identity,X1))),multiply(X1,multiply(X1,X1))),
inference(superposition,[status(thm)],[c_17526,c_499]) ).
cnf(c_17762,plain,
multiply(multiply(X0,multiply(identity,multiply(identity,X1))),multiply(X1,multiply(X1,X1))) = multiply(multiply(X0,identity),identity),
inference(light_normalisation,[status(thm)],[c_17643,c_101,c_7476]) ).
cnf(c_17931,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(X0,identity),identity)),X1))) = multiply(X0,multiply(identity,multiply(identity,X1))),
inference(superposition,[status(thm)],[c_17632,c_6182]) ).
cnf(c_18021,plain,
multiply(multiply(identity,multiply(multiply(X0,X0),multiply(identity,X1))),multiply(X1,multiply(X1,X1))) = multiply(multiply(identity,multiply(multiply(X0,identity),identity)),multiply(identity,multiply(multiply(X0,identity),identity))),
inference(light_normalisation,[status(thm)],[c_16982,c_17200]) ).
cnf(c_18054,plain,
multiply(multiply(identity,multiply(multiply(X0,identity),identity)),multiply(identity,multiply(multiply(X0,identity),identity))) = multiply(multiply(identity,multiply(multiply(X0,X0),identity)),identity),
inference(superposition,[status(thm)],[c_50,c_18021]) ).
cnf(c_18583,plain,
multiply(identity,multiply(multiply(multiply(X0,multiply(multiply(X0,identity),identity)),identity),multiply(multiply(multiply(X0,multiply(multiply(X0,identity),identity)),identity),multiply(multiply(X0,multiply(multiply(X0,identity),identity)),identity)))) = multiply(multiply(multiply(identity,multiply(identity,multiply(X0,X0))),identity),identity),
inference(superposition,[status(thm)],[c_9693,c_17762]) ).
cnf(c_18755,plain,
multiply(multiply(identity,identity),multiply(multiply(multiply(X0,multiply(multiply(X0,identity),identity)),identity),multiply(multiply(multiply(X0,multiply(multiply(X0,identity),identity)),identity),multiply(multiply(X0,multiply(multiply(X0,identity),identity)),identity)))) = multiply(identity,multiply(multiply(multiply(identity,multiply(X0,X0)),identity),identity)),
inference(superposition,[status(thm)],[c_9426,c_16274]) ).
cnf(c_18757,plain,
multiply(multiply(identity,multiply(identity,X0)),multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))))) = multiply(identity,multiply(multiply(multiply(identity,multiply(X0,X0)),identity),identity)),
inference(superposition,[status(thm)],[c_12121,c_16274]) ).
cnf(c_18852,plain,
multiply(multiply(multiply(identity,multiply(identity,multiply(X0,X0))),identity),identity) = multiply(identity,multiply(multiply(multiply(identity,multiply(X0,X0)),identity),identity)),
inference(light_normalisation,[status(thm)],[c_18755,c_50,c_18583]) ).
cnf(c_18854,plain,
multiply(identity,multiply(multiply(multiply(identity,multiply(X0,X0)),identity),identity)) = multiply(identity,multiply(identity,multiply(multiply(multiply(X0,X0),identity),identity))),
inference(light_normalisation,[status(thm)],[c_18757,c_1599]) ).
cnf(c_19219,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))))) = multiply(X0,multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))))),
inference(superposition,[status(thm)],[c_16284,c_17931]) ).
cnf(c_19282,plain,
multiply(multiply(X0,multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(X0,identity),identity)),multiply(identity,multiply(multiply(X0,identity),identity)))))),multiply(identity,multiply(multiply(X0,identity),identity))) = multiply(identity,multiply(multiply(identity,identity),identity)),
inference(superposition,[status(thm)],[c_17931,c_2137]) ).
cnf(c_19311,plain,
multiply(multiply(X0,multiply(X0,X0)),multiply(identity,multiply(multiply(X0,identity),identity))) = identity,
inference(light_normalisation,[status(thm)],[c_19282,c_50,c_11819,c_14636]) ).
cnf(c_19323,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))))) = multiply(X0,multiply(X0,X0)),
inference(light_normalisation,[status(thm)],[c_19219,c_1148,c_1152,c_9344,c_11819,c_14771]) ).
cnf(c_19445,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X0,X0)),multiply(identity,multiply(multiply(X0,identity),identity))))) = multiply(X0,multiply(multiply(X0,X0),identity)),
inference(superposition,[status(thm)],[c_19311,c_6182]) ).
cnf(c_19452,plain,
multiply(X0,multiply(multiply(X0,X0),identity)) = multiply(X0,multiply(X0,X0)),
inference(light_normalisation,[status(thm)],[c_19445,c_15138,c_19323]) ).
cnf(c_19476,plain,
multiply(X0,multiply(multiply(X0,multiply(X0,X0)),X1)) = multiply(identity,multiply(identity,X1)),
inference(demodulation,[status(thm)],[c_17526,c_19452]) ).
cnf(c_19564,plain,
multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)) = multiply(multiply(X0,multiply(X0,X0)),identity),
inference(superposition,[status(thm)],[c_19452,c_4967]) ).
cnf(c_19625,plain,
multiply(multiply(X0,X0),multiply(multiply(X0,multiply(X0,X0)),identity)) = multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X0),identity),identity))),
inference(superposition,[status(thm)],[c_19452,c_7493]) ).
cnf(c_19644,plain,
multiply(multiply(X0,X0),multiply(multiply(X0,multiply(X0,X0)),identity)) = X0,
inference(light_normalisation,[status(thm)],[c_19625,c_130,c_439]) ).
cnf(c_20165,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X0,X0)),identity))) = multiply(X0,X0),
inference(superposition,[status(thm)],[c_19644,c_6182]) ).
cnf(c_20184,plain,
multiply(multiply(X0,multiply(X0,X0)),identity) = multiply(multiply(X0,X0),multiply(identity,X0)),
inference(demodulation,[status(thm)],[c_12267,c_20165]) ).
cnf(c_20185,plain,
multiply(multiply(X0,X0),multiply(multiply(X0,X0),multiply(identity,X0))) = X0,
inference(demodulation,[status(thm)],[c_19644,c_20184]) ).
cnf(c_20236,plain,
multiply(multiply(X0,X0),multiply(multiply(identity,X0),multiply(multiply(identity,X0),multiply(identity,X0)))) = multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity)),
inference(superposition,[status(thm)],[c_20185,c_499]) ).
cnf(c_20259,plain,
multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(identity,multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(identity,identity))),identity),identity))))),identity)) = identity,
inference(superposition,[status(thm)],[c_20185,c_304]) ).
cnf(c_20281,plain,
multiply(X0,multiply(multiply(X0,X0),multiply(identity,X0))) = identity,
inference(light_normalisation,[status(thm)],[c_20259,c_50,c_19452,c_20184]) ).
cnf(c_20282,plain,
multiply(multiply(X0,X0),multiply(identity,multiply(X0,multiply(X0,X0)))) = X0,
inference(light_normalisation,[status(thm)],[c_20236,c_9350,c_12060,c_16284,c_19564,c_20184,c_20185]) ).
cnf(c_20330,plain,
multiply(multiply(identity,multiply(multiply(X0,identity),identity)),multiply(multiply(multiply(identity,multiply(multiply(X0,X0),identity)),identity),multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))))) = identity,
inference(superposition,[status(thm)],[c_18054,c_20281]) ).
cnf(c_20349,plain,
multiply(multiply(X0,X0),multiply(multiply(X0,multiply(identity,identity)),identity)) = multiply(identity,multiply(X0,multiply(X0,X0))),
inference(superposition,[status(thm)],[c_20281,c_499]) ).
cnf(c_20418,plain,
multiply(multiply(X0,X0),multiply(identity,X0)) = multiply(identity,multiply(X0,multiply(X0,X0))),
inference(light_normalisation,[status(thm)],[c_20349,c_50,c_19564,c_20184]) ).
cnf(c_20474,plain,
multiply(X0,multiply(identity,multiply(X0,multiply(X0,X0)))) = identity,
inference(demodulation,[status(thm)],[c_20281,c_20418]) ).
cnf(c_20512,plain,
multiply(multiply(X0,multiply(X0,X0)),multiply(identity,multiply(identity,X0))) = identity,
inference(superposition,[status(thm)],[c_16058,c_20474]) ).
cnf(c_20529,plain,
multiply(multiply(identity,multiply(identity,identity)),multiply(multiply(identity,multiply(X0,multiply(X0,X0))),multiply(multiply(identity,multiply(X0,multiply(X0,X0))),multiply(identity,multiply(X0,multiply(X0,X0)))))) = multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),
inference(superposition,[status(thm)],[c_20474,c_1574]) ).
cnf(c_20558,plain,
multiply(multiply(identity,identity),multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0))))) = multiply(identity,multiply(multiply(X0,identity),identity)),
inference(superposition,[status(thm)],[c_20474,c_16274]) ).
cnf(c_20570,plain,
multiply(multiply(X0,X0),multiply(identity,multiply(multiply(identity,X0),multiply(multiply(identity,X0),multiply(identity,X0))))) = multiply(multiply(X0,multiply(identity,multiply(identity,multiply(identity,identity)))),identity),
inference(superposition,[status(thm)],[c_20474,c_7841]) ).
cnf(c_20591,plain,
multiply(multiply(X0,X0),multiply(identity,multiply(identity,multiply(X0,multiply(X0,X0))))) = multiply(multiply(X0,identity),identity),
inference(light_normalisation,[status(thm)],[c_20570,c_50,c_12060,c_16284]) ).
cnf(c_20592,plain,
multiply(identity,multiply(multiply(X0,identity),identity)) = multiply(identity,multiply(identity,X0)),
inference(light_normalisation,[status(thm)],[c_20558,c_50,c_16058]) ).
cnf(c_20611,plain,
multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))) = multiply(identity,multiply(identity,multiply(identity,X0))),
inference(light_normalisation,[status(thm)],[c_20529,c_50,c_17462]) ).
cnf(c_20632,plain,
multiply(multiply(identity,multiply(identity,X0)),multiply(identity,multiply(identity,X0))) = multiply(multiply(identity,multiply(multiply(X0,X0),identity)),identity),
inference(demodulation,[status(thm)],[c_18054,c_20592]) ).
cnf(c_20637,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(identity,X0)))) = X0,
inference(demodulation,[status(thm)],[c_130,c_20592]) ).
cnf(c_20644,plain,
multiply(multiply(identity,multiply(multiply(X0,X0),identity)),identity) = multiply(identity,multiply(identity,multiply(X0,X0))),
inference(light_normalisation,[status(thm)],[c_20632,c_12320]) ).
cnf(c_20688,plain,
multiply(multiply(identity,multiply(identity,X0)),multiply(multiply(identity,multiply(identity,multiply(X0,X0))),multiply(identity,multiply(identity,multiply(identity,X0))))) = identity,
inference(light_normalisation,[status(thm)],[c_20330,c_20592,c_20611,c_20644]) ).
cnf(c_20723,plain,
multiply(multiply(identity,multiply(identity,multiply(identity,X0))),multiply(multiply(multiply(identity,multiply(identity,X0)),multiply(identity,identity)),identity)) = multiply(identity,multiply(multiply(multiply(multiply(identity,multiply(identity,X0)),multiply(identity,multiply(identity,X0))),multiply(identity,identity)),identity)),
inference(superposition,[status(thm)],[c_20688,c_6197]) ).
cnf(c_20747,plain,
multiply(multiply(identity,multiply(identity,multiply(identity,X0))),multiply(identity,multiply(identity,multiply(identity,X0)))) = multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(X0,X0),identity),identity)))),
inference(light_normalisation,[status(thm)],[c_20723,c_50,c_445,c_3221,c_12320,c_18852,c_18854,c_20611]) ).
cnf(c_21383,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,multiply(identity,X0))),multiply(identity,multiply(identity,multiply(identity,X0))))) = multiply(X0,X0),
inference(superposition,[status(thm)],[c_20637,c_12060]) ).
cnf(c_21418,plain,
multiply(identity,multiply(X0,X0)) = multiply(X0,X0),
inference(light_normalisation,[status(thm)],[c_21383,c_12119,c_20747]) ).
cnf(c_21459,plain,
multiply(multiply(identity,X0),multiply(X0,X0)) = multiply(identity,multiply(X0,multiply(X0,X0))),
inference(demodulation,[status(thm)],[c_16284,c_21418]) ).
cnf(c_21462,plain,
multiply(multiply(identity,X0),multiply(identity,X0)) = multiply(X0,X0),
inference(demodulation,[status(thm)],[c_12060,c_21418]) ).
cnf(c_21711,plain,
multiply(multiply(X0,X0),multiply(identity,multiply(multiply(identity,X0),multiply(X0,X0)))) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_21462,c_20282]) ).
cnf(c_21731,plain,
multiply(multiply(X0,identity),identity) = multiply(identity,X0),
inference(light_normalisation,[status(thm)],[c_21711,c_20591,c_21459]) ).
cnf(c_22546,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(identity,X0)))) = multiply(X0,identity),
inference(superposition,[status(thm)],[c_20512,c_19476]) ).
cnf(c_22593,plain,
multiply(X0,identity) = X0,
inference(light_normalisation,[status(thm)],[c_22546,c_20637]) ).
cnf(c_22634,plain,
multiply(X0,identity) = multiply(identity,X0),
inference(demodulation,[status(thm)],[c_21731,c_22593]) ).
cnf(c_22698,plain,
multiply(identity,X0) = X0,
inference(light_normalisation,[status(thm)],[c_22634,c_22593]) ).
cnf(c_22699,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_51,c_22698]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : GRP120-1 : TPTP v8.1.2. Released v1.2.0.
% 0.06/0.11 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n019.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.31 % CPULimit : 300
% 0.16/0.31 % WCLimit : 300
% 0.16/0.31 % DateTime : Thu May 2 23:40:29 EDT 2024
% 0.16/0.31 % CPUTime :
% 0.16/0.42 Running UEQ theorem proving
% 0.16/0.42 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 31.84/4.60 % SZS status Started for theBenchmark.p
% 31.84/4.60 % SZS status Unsatisfiable for theBenchmark.p
% 31.84/4.60
% 31.84/4.60 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 31.84/4.60
% 31.84/4.60 ------ iProver source info
% 31.84/4.60
% 31.84/4.60 git: date: 2024-05-02 19:28:25 +0000
% 31.84/4.60 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 31.84/4.60 git: non_committed_changes: false
% 31.84/4.60
% 31.84/4.60 ------ Parsing...successful
% 31.84/4.60
% 31.84/4.60
% 31.84/4.60
% 31.84/4.60 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 31.84/4.60
% 31.84/4.60 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 31.84/4.60
% 31.84/4.60 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 31.84/4.60 ------ Proving...
% 31.84/4.60 ------ Problem Properties
% 31.84/4.60
% 31.84/4.60
% 31.84/4.60 clauses 3
% 31.84/4.60 conjectures 1
% 31.84/4.60 EPR 0
% 31.84/4.60 Horn 3
% 31.84/4.60 unary 3
% 31.84/4.60 binary 0
% 31.84/4.60 lits 3
% 31.84/4.60 lits eq 3
% 31.84/4.60 fd_pure 0
% 31.84/4.60 fd_pseudo 0
% 31.84/4.60 fd_cond 0
% 31.84/4.60 fd_pseudo_cond 0
% 31.84/4.60 AC symbols 0
% 31.84/4.60
% 31.84/4.60 ------ Input Options Time Limit: Unbounded
% 31.84/4.60
% 31.84/4.60
% 31.84/4.60 ------
% 31.84/4.60 Current options:
% 31.84/4.60 ------
% 31.84/4.60
% 31.84/4.60
% 31.84/4.60
% 31.84/4.60
% 31.84/4.60 ------ Proving...
% 31.84/4.60
% 31.84/4.60
% 31.84/4.60 % SZS status Unsatisfiable for theBenchmark.p
% 31.84/4.60
% 31.84/4.60 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 31.84/4.60
% 31.84/4.61
%------------------------------------------------------------------------------