%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GRP664-10 : TPTP v9.2.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n007.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 : Tue May 5 04:26:48 PM UTC 2026
% Result : Unsatisfiable 66.79s 50.38s
% Output : CNFRefutation 68.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 19
% Syntax : Number of clauses : 276 ( 268 unt; 0 nHn; 10 RR)
% Number of literals : 285 ( 284 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 442 ( 18 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(goal2,negated_conjecture,
mult(mult(x1,x0),mult(x2,x3)) != mult(mult(mult(x1,x0),x2),x3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal2) ).
cnf(f08,axiom,
mult(mult(X1,X2),X3) = mult(mult(X1,X3),ld(X3,mult(X2,X3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f08) ).
cnf(f07,axiom,
mult(X1,mult(X2,X3)) = mult(rd(mult(X1,X2),X1),mult(X1,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f07) ).
cnf(f04,axiom,
rd(mult(X1,X2),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
cnf(f03,axiom,
mult(rd(X1,X2),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
cnf(f01,axiom,
mult(X1,ld(X1,X2)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
cnf(f02,axiom,
ld(X1,mult(X1,X2)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
cnf(f06,axiom,
mult(unit,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f06) ).
cnf(f05,axiom,
mult(X1,unit) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
cnf(goal1,negated_conjecture,
mult(x0,x1) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal1) ).
cnf(i_0_10,negated_conjecture,
mult(mult(x1,x0),mult(x2,x3)) != mult(mult(mult(x1,x0),x2),x3),
goal2,
[final] ).
cnf(i_0_11,axiom,
mult(mult(X1,X2),X3) = mult(mult(X1,X3),ld(X3,mult(X2,X3))),
f08,
[final] ).
cnf(i_0_12,axiom,
mult(X1,mult(X2,X3)) = mult(rd(mult(X1,X2),X1),mult(X1,X3)),
f07,
[final] ).
cnf(i_0_13,axiom,
rd(mult(X1,X2),X2) = X1,
f04,
[final] ).
cnf(i_0_14,axiom,
mult(rd(X1,X2),X2) = X1,
f03,
[final] ).
cnf(i_0_15,axiom,
mult(X1,ld(X1,X2)) = X2,
f01,
[final] ).
cnf(i_0_16,axiom,
ld(X1,mult(X1,X2)) = X2,
f02,
[final] ).
cnf(i_0_17,axiom,
mult(unit,X1) = X1,
f06,
[final] ).
cnf(i_0_18,axiom,
mult(X1,unit) = X1,
f05,
[final] ).
cnf(i_0_19,negated_conjecture,
mult(x0,x1) = unit,
goal1,
[final] ).
cnf(i_0_20,axiom,
X1 = X1 ).
cnf(i_0_21,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_22,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_23,axiom,
( X1 != X2
| mult(X1,X3) = mult(X2,X3) ) ).
cnf(i_0_24,axiom,
( X1 != X2
| mult(X3,X1) = mult(X3,X2) ) ).
cnf(i_0_25,axiom,
( X1 != X2
| ld(X1,X3) = ld(X2,X3) ) ).
cnf(i_0_26,axiom,
( X1 != X2
| ld(X3,X1) = ld(X3,X2) ) ).
cnf(i_0_27,axiom,
( X1 != X2
| rd(X1,X3) = rd(X2,X3) ) ).
cnf(i_0_28,axiom,
( X1 != X2
| rd(X3,X1) = rd(X3,X2) ) ).
cnf(i_0_29,plain,
unit = mult(X1,X2),
inference(scs_inference,[],[i_0_19,i_0_21]) ).
cnf(i_0_30,plain,
mult(unit,mult(X1,X2)) = unit,
inference(scs_inference,[],[i_0_19,i_0_17,i_0_21,i_0_22]) ).
cnf(i_0_31,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_34,plain,
mult(X1,unit) = X1,
inference(rename_variables,[],[i_0_18]) ).
cnf(i_0_37,plain,
mult(rd(mult(X1,X2),X1),mult(X1,X3)) = mult(X1,mult(X2,X3)),
inference(scs_inference,[],[i_0_12,i_0_21]) ).
cnf(i_0_45,plain,
X1 = rd(mult(X1,X2),X2),
inference(scs_inference,[],[i_0_13,i_0_21]) ).
cnf(i_0_54,plain,
X1 = mult(rd(X1,X2),X2),
inference(scs_inference,[],[i_0_14,i_0_21]) ).
cnf(i_0_55,plain,
X1 = mult(X2,ld(X2,X1)),
inference(scs_inference,[],[i_0_15,i_0_21]) ).
cnf(i_0_56,plain,
X1 = ld(X2,mult(X2,X1)),
inference(scs_inference,[],[i_0_16,i_0_21]) ).
cnf(i_0_57,plain,
mult(mult(X1,X2),ld(X2,mult(X3,X2))) = mult(mult(X1,X3),X2),
inference(scs_inference,[],[i_0_11,i_0_21]) ).
cnf(i_0_58,plain,
mult(mult(X1,X2),mult(X3,X4)) != mult(mult(mult(X1,X2),X4),ld(X4,mult(X3,X4))),
inference(scs_inference,[],[i_0_10,i_0_11,i_0_21,i_0_22]) ).
cnf(i_0_59,plain,
X1 = mult(unit,X1),
inference(scs_inference,[],[i_0_17,i_0_21]) ).
cnf(i_0_60,plain,
X1 = mult(X1,unit),
inference(scs_inference,[],[i_0_18,i_0_21]) ).
cnf(i_0_196,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_207,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_210,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_213,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_216,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_222,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_225,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_228,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_231,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_234,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_237,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_243,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_249,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_252,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_255,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_258,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_261,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_264,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_267,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_270,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_273,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_276,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_285,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_288,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_291,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_294,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_297,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_300,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_303,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_306,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_311,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_314,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_317,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_323,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_329,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_332,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_334,plain,
mult(rd(mult(X1,X2),X3),X3) = unit,
inference(scs_inference,[],[i_0_14,i_0_19,i_0_22]) ).
cnf(i_0_335,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_336,plain,
unit = mult(rd(mult(X1,X2),X3),X3),
inference(scs_inference,[],[i_0_14,i_0_19,i_0_22,i_0_21]) ).
cnf(i_0_338,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_341,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_344,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_347,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_350,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_353,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_356,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_359,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_362,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_365,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_368,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_371,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_374,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_377,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_380,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_383,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_391,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_394,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_397,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_400,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_403,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_406,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_409,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_412,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_415,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_421,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_427,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_430,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_432,plain,
mult(X1,ld(X1,mult(X2,X3))) = unit,
inference(scs_inference,[],[i_0_15,i_0_19,i_0_22]) ).
cnf(i_0_433,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_434,plain,
unit = mult(X1,ld(X1,mult(X2,X3))),
inference(scs_inference,[],[i_0_15,i_0_19,i_0_22,i_0_21]) ).
cnf(i_0_436,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_439,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_442,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_445,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_448,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_451,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_454,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_457,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_460,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_463,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_466,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_469,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_472,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_475,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_478,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_481,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_484,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_487,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_490,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_495,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_498,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_501,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_504,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_507,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_510,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_513,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_516,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_522,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_528,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_531,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_533,plain,
ld(X1,mult(X1,mult(X2,X3))) = unit,
inference(scs_inference,[],[i_0_16,i_0_19,i_0_22]) ).
cnf(i_0_534,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_535,plain,
unit = ld(X1,mult(X1,mult(X2,X3))),
inference(scs_inference,[],[i_0_16,i_0_19,i_0_22,i_0_21]) ).
cnf(i_0_537,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_540,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_543,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_546,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_549,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_552,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_555,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_558,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_561,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_564,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_567,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_570,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_573,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_576,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_579,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_582,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_585,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_588,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_591,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_594,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_597,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_600,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_603,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_606,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_609,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_612,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_615,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_618,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_621,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_624,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_627,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_630,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_633,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_636,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_639,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_642,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_645,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_648,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_651,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_654,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_657,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_660,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_663,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_666,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_669,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_672,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_675,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_678,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_681,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_684,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_687,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_690,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_693,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_696,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_699,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_702,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_705,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_708,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_711,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_714,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_717,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_720,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_723,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_726,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_729,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_732,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_735,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_738,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_741,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_744,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_747,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_750,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_753,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_756,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_759,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_762,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_765,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_768,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_771,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_774,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_777,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_783,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_786,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_789,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_792,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_795,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_798,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_801,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_804,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_807,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_810,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_813,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_816,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_819,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_822,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_825,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_828,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_831,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_834,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_837,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_840,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_843,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_846,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_849,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_852,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_855,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_858,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_861,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_864,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_867,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_870,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_873,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_876,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_879,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_882,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_885,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_888,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_891,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_894,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_897,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_900,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_903,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_906,plain,
mult(X1,unit) = X1,
inference(rename_variables,[],[i_0_18]) ).
cnf(i_0_909,plain,
mult(X1,unit) = X1,
inference(rename_variables,[],[i_0_18]) ).
cnf(i_0_912,plain,
mult(X1,unit) = X1,
inference(rename_variables,[],[i_0_18]) ).
cnf(i_0_915,plain,
mult(X1,unit) = X1,
inference(rename_variables,[],[i_0_18]) ).
cnf(i_0_918,plain,
mult(X1,unit) = X1,
inference(rename_variables,[],[i_0_18]) ).
cnf(i_0_920,plain,
mult(mult(X1,X2),mult(X3,X4)) != mult(mult(mult(mult(X1,X2),X3),X4),unit),
inference(scs_inference,[],[i_0_18,i_0_10,i_0_22]) ).
cnf(c_0_923,plain,
mult(mult(X1,X2),mult(X3,X4)) != mult(mult(mult(mult(X1,X2),X3),X4),unit),
i_0_920 ).
cnf(c_0_924,plain,
unit = mult(X1,X2),
i_0_29 ).
cnf(c_0_925,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_923,c_0_924]),c_0_924]),c_0_924]),c_0_924]),c_0_924]),c_0_924]),c_0_924])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP664-10 : TPTP v9.2.1. Released v8.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n007.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 18:59:24 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 66.79/50.38 % Version : CSE_E---1.7
% 66.79/50.38 % Problem : theBenchmark.p
% 66.79/50.38 % SZS status Unsatisfiable for theBenchmark.p
% 66.79/50.38 % SZS output start CNFRefutation
% See solution above
% 68.19/51.75 % Total time : 50.034s
%------------------------------------------------------------------------------