%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GRP753-1 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n006.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 04:27:13 PM UTC 2026
% Result : Unsatisfiable 174.11s 78.48s
% Output : CNFRefutation 175.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 16
% Syntax : Number of clauses : 296 ( 288 unt; 0 nHn; 8 RR)
% Number of literals : 305 ( 304 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 907 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(goals,negated_conjecture,
mult(mult(a,mult(a,a)),mult(b,c)) != mult(mult(a,b),mult(mult(a,a),c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(f06,axiom,
mult(mult(X1,X2),X3) = mult(mult(X1,X3),mult(X2,ld(X3,X3))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f06) ).
cnf(f05,axiom,
mult(X1,mult(X2,X3)) = mult(mult(rd(X1,X1),X2),mult(X1,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
cnf(f04,axiom,
rd(mult(X1,X2),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).
cnf(f03,axiom,
mult(rd(X1,X2),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
cnf(f01,axiom,
mult(X1,ld(X1,X2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
cnf(f02,axiom,
ld(X1,mult(X1,X2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
cnf(i_0_7,negated_conjecture,
mult(mult(a,mult(a,a)),mult(b,c)) != mult(mult(a,b),mult(mult(a,a),c)),
goals,
[final] ).
cnf(i_0_8,axiom,
mult(mult(X1,X2),X3) = mult(mult(X1,X3),mult(X2,ld(X3,X3))),
f06,
[final] ).
cnf(i_0_9,axiom,
mult(X1,mult(X2,X3)) = mult(mult(rd(X1,X1),X2),mult(X1,X3)),
f05,
[final] ).
cnf(i_0_10,axiom,
rd(mult(X1,X2),X2) = X1,
f04,
[final] ).
cnf(i_0_11,axiom,
mult(rd(X1,X2),X2) = X1,
f03,
[final] ).
cnf(i_0_12,axiom,
mult(X1,ld(X1,X2)) = X2,
f01,
[final] ).
cnf(i_0_13,axiom,
ld(X1,mult(X1,X2)) = X2,
f02,
[final] ).
cnf(i_0_14,axiom,
X1 = X1 ).
cnf(i_0_15,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_16,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_17,axiom,
( X1 != X2
| mult(X1,X3) = mult(X2,X3) ) ).
cnf(i_0_18,axiom,
( X1 != X2
| mult(X3,X1) = mult(X3,X2) ) ).
cnf(i_0_19,axiom,
( X1 != X2
| ld(X1,X3) = ld(X2,X3) ) ).
cnf(i_0_20,axiom,
( X1 != X2
| ld(X3,X1) = ld(X3,X2) ) ).
cnf(i_0_21,axiom,
( X1 != X2
| rd(X1,X3) = rd(X2,X3) ) ).
cnf(i_0_22,axiom,
( X1 != X2
| rd(X3,X1) = rd(X3,X2) ) ).
cnf(i_0_23,plain,
mult(mult(rd(X1,X1),X2),mult(X1,X3)) = mult(X1,mult(X2,X3)),
inference(scs_inference,[],[i_0_9,i_0_15]) ).
cnf(i_0_24,plain,
X1 = rd(mult(X1,X2),X2),
inference(scs_inference,[],[i_0_10,i_0_15]) ).
cnf(i_0_25,plain,
X1 = mult(rd(X1,X2),X2),
inference(scs_inference,[],[i_0_11,i_0_15]) ).
cnf(i_0_26,plain,
X1 = mult(X2,ld(X2,X1)),
inference(scs_inference,[],[i_0_12,i_0_15]) ).
cnf(i_0_27,plain,
X1 = ld(X2,mult(X2,X1)),
inference(scs_inference,[],[i_0_13,i_0_15]) ).
cnf(i_0_28,plain,
mult(mult(X1,X2),mult(X3,ld(X2,X2))) = mult(mult(X1,X3),X2),
inference(scs_inference,[],[i_0_8,i_0_15]) ).
cnf(i_0_105,plain,
mult(mult(a,mult(a,a)),mult(b,c)) != ld(X1,mult(X1,mult(mult(a,b),mult(mult(a,a),c)))),
inference(scs_inference,[],[i_0_7,i_0_13,i_0_16]) ).
cnf(i_0_106,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_162,plain,
ld(mult(mult(X1,X2),X3),X4) = ld(mult(mult(X1,X3),mult(X2,ld(X3,X3))),X4),
inference(scs_inference,[],[i_0_8,i_0_19]) ).
cnf(i_0_163,plain,
ld(X1,mult(mult(X2,X3),X4)) = ld(X1,mult(mult(X2,X4),mult(X3,ld(X4,X4)))),
inference(scs_inference,[],[i_0_8,i_0_19,i_0_20]) ).
cnf(i_0_164,plain,
rd(mult(mult(X1,X2),X3),X4) = rd(mult(mult(X1,X3),mult(X2,ld(X3,X3))),X4),
inference(scs_inference,[],[i_0_8,i_0_19,i_0_20,i_0_21]) ).
cnf(i_0_165,plain,
rd(X1,mult(mult(X2,X3),X4)) = rd(X1,mult(mult(X2,X4),mult(X3,ld(X4,X4)))),
inference(scs_inference,[],[i_0_8,i_0_19,i_0_20,i_0_21,i_0_22]) ).
cnf(i_0_166,plain,
mult(X1,mult(mult(X2,X3),X4)) = mult(X1,mult(mult(X2,X4),mult(X3,ld(X4,X4)))),
inference(scs_inference,[],[i_0_8,i_0_19,i_0_20,i_0_21,i_0_22,i_0_18]) ).
cnf(i_0_167,plain,
mult(mult(mult(X1,X2),X3),X4) = mult(mult(mult(X1,X3),mult(X2,ld(X3,X3))),X4),
inference(scs_inference,[],[i_0_8,i_0_19,i_0_20,i_0_21,i_0_22,i_0_18,i_0_17]) ).
cnf(i_0_170,plain,
mult(X1,mult(X2,X3)) = mult(mult(rd(X1,X1),X2),mult(X1,X3)),
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_179,plain,
mult(mult(X1,X2),X3) = mult(mult(X1,X3),mult(X2,ld(X3,X3))),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_188,plain,
mult(mult(X1,X2),X3) = mult(mult(X1,X3),mult(X2,ld(X3,X3))),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_207,plain,
mult(mult(X1,X2),X3) = mult(mult(X1,X3),mult(X2,ld(X3,X3))),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_259,plain,
ld(mult(X1,mult(X2,X3)),X4) = ld(mult(mult(rd(X1,X1),X2),mult(X1,X3)),X4),
inference(scs_inference,[],[i_0_9,i_0_19]) ).
cnf(i_0_260,plain,
ld(X1,mult(X2,mult(X3,X4))) = ld(X1,mult(mult(rd(X2,X2),X3),mult(X2,X4))),
inference(scs_inference,[],[i_0_9,i_0_19,i_0_20]) ).
cnf(i_0_261,plain,
rd(mult(X1,mult(X2,X3)),X4) = rd(mult(mult(rd(X1,X1),X2),mult(X1,X3)),X4),
inference(scs_inference,[],[i_0_9,i_0_19,i_0_20,i_0_21]) ).
cnf(i_0_262,plain,
rd(X1,mult(X2,mult(X3,X4))) = rd(X1,mult(mult(rd(X2,X2),X3),mult(X2,X4))),
inference(scs_inference,[],[i_0_9,i_0_19,i_0_20,i_0_21,i_0_22]) ).
cnf(i_0_263,plain,
mult(X1,mult(X2,mult(X3,X4))) = mult(X1,mult(mult(rd(X2,X2),X3),mult(X2,X4))),
inference(scs_inference,[],[i_0_9,i_0_19,i_0_20,i_0_21,i_0_22,i_0_18]) ).
cnf(i_0_264,plain,
mult(mult(X1,mult(X2,X3)),X4) = mult(mult(mult(rd(X1,X1),X2),mult(X1,X3)),X4),
inference(scs_inference,[],[i_0_9,i_0_19,i_0_20,i_0_21,i_0_22,i_0_18,i_0_17]) ).
cnf(i_0_311,plain,
mult(X1,mult(X2,X3)) = mult(mult(rd(X1,X1),X2),mult(X1,X3)),
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_352,plain,
ld(rd(mult(X1,X2),X2),X3) = ld(X1,X3),
inference(scs_inference,[],[i_0_10,i_0_19]) ).
cnf(i_0_353,plain,
ld(X1,rd(mult(X2,X3),X3)) = ld(X1,X2),
inference(scs_inference,[],[i_0_10,i_0_19,i_0_20]) ).
cnf(i_0_354,plain,
rd(rd(mult(X1,X2),X2),X3) = rd(X1,X3),
inference(scs_inference,[],[i_0_10,i_0_19,i_0_20,i_0_21]) ).
cnf(i_0_355,plain,
rd(X1,rd(mult(X2,X3),X3)) = rd(X1,X2),
inference(scs_inference,[],[i_0_10,i_0_19,i_0_20,i_0_21,i_0_22]) ).
cnf(i_0_356,plain,
mult(X1,rd(mult(X2,X3),X3)) = mult(X1,X2),
inference(scs_inference,[],[i_0_10,i_0_19,i_0_20,i_0_21,i_0_22,i_0_18]) ).
cnf(i_0_357,plain,
mult(rd(mult(X1,X2),X2),X3) = mult(X1,X3),
inference(scs_inference,[],[i_0_10,i_0_19,i_0_20,i_0_21,i_0_22,i_0_18,i_0_17]) ).
cnf(i_0_421,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_450,plain,
ld(mult(rd(X1,X2),X2),X3) = ld(X1,X3),
inference(scs_inference,[],[i_0_11,i_0_19]) ).
cnf(i_0_451,plain,
ld(X1,mult(rd(X2,X3),X3)) = ld(X1,X2),
inference(scs_inference,[],[i_0_11,i_0_19,i_0_20]) ).
cnf(i_0_452,plain,
rd(mult(rd(X1,X2),X2),X3) = rd(X1,X3),
inference(scs_inference,[],[i_0_11,i_0_19,i_0_20,i_0_21]) ).
cnf(i_0_453,plain,
rd(X1,mult(rd(X2,X3),X3)) = rd(X1,X2),
inference(scs_inference,[],[i_0_11,i_0_19,i_0_20,i_0_21,i_0_22]) ).
cnf(i_0_454,plain,
mult(X1,mult(rd(X2,X3),X3)) = mult(X1,X2),
inference(scs_inference,[],[i_0_11,i_0_19,i_0_20,i_0_21,i_0_22,i_0_18]) ).
cnf(i_0_455,plain,
mult(mult(rd(X1,X2),X2),X3) = mult(X1,X3),
inference(scs_inference,[],[i_0_11,i_0_19,i_0_20,i_0_21,i_0_22,i_0_18,i_0_17]) ).
cnf(i_0_549,plain,
ld(mult(X1,ld(X1,X2)),X3) = ld(X2,X3),
inference(scs_inference,[],[i_0_12,i_0_19]) ).
cnf(i_0_550,plain,
ld(X1,mult(X2,ld(X2,X3))) = ld(X1,X3),
inference(scs_inference,[],[i_0_12,i_0_19,i_0_20]) ).
cnf(i_0_551,plain,
rd(mult(X1,ld(X1,X2)),X3) = rd(X2,X3),
inference(scs_inference,[],[i_0_12,i_0_19,i_0_20,i_0_21]) ).
cnf(i_0_552,plain,
rd(X1,mult(X2,ld(X2,X3))) = rd(X1,X3),
inference(scs_inference,[],[i_0_12,i_0_19,i_0_20,i_0_21,i_0_22]) ).
cnf(i_0_553,plain,
mult(X1,mult(X2,ld(X2,X3))) = mult(X1,X3),
inference(scs_inference,[],[i_0_12,i_0_19,i_0_20,i_0_21,i_0_22,i_0_18]) ).
cnf(i_0_554,plain,
mult(mult(X1,ld(X1,X2)),X3) = mult(X2,X3),
inference(scs_inference,[],[i_0_12,i_0_19,i_0_20,i_0_21,i_0_22,i_0_18,i_0_17]) ).
cnf(i_0_650,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_652,plain,
ld(ld(X1,mult(X1,X2)),X3) = ld(X2,X3),
inference(scs_inference,[],[i_0_13,i_0_19]) ).
cnf(i_0_653,plain,
ld(X1,ld(X2,mult(X2,X3))) = ld(X1,X3),
inference(scs_inference,[],[i_0_13,i_0_19,i_0_20]) ).
cnf(i_0_654,plain,
rd(ld(X1,mult(X1,X2)),X3) = rd(X2,X3),
inference(scs_inference,[],[i_0_13,i_0_19,i_0_20,i_0_21]) ).
cnf(i_0_655,plain,
rd(X1,ld(X2,mult(X2,X3))) = rd(X1,X3),
inference(scs_inference,[],[i_0_13,i_0_19,i_0_20,i_0_21,i_0_22]) ).
cnf(i_0_656,plain,
mult(X1,ld(X2,mult(X2,X3))) = mult(X1,X3),
inference(scs_inference,[],[i_0_13,i_0_19,i_0_20,i_0_21,i_0_22,i_0_18]) ).
cnf(i_0_657,plain,
mult(ld(X1,mult(X1,X2)),X3) = mult(X2,X3),
inference(scs_inference,[],[i_0_13,i_0_19,i_0_20,i_0_21,i_0_22,i_0_18,i_0_17]) ).
cnf(i_0_29,plain,
rd(mult(X1,X2),X2) = rd(mult(X1,X3),X3),
inference(scs_inference,[],[i_0_10,i_0_24,i_0_16]) ).
cnf(i_0_30,plain,
X1 = rd(mult(X1,X2),X2),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_31,plain,
rd(mult(X1,X2),X2) = mult(rd(X1,X3),X3),
inference(scs_inference,[],[i_0_10,i_0_25,i_0_16]) ).
cnf(i_0_32,plain,
X1 = mult(rd(X1,X2),X2),
inference(rename_variables,[],[i_0_25]) ).
cnf(i_0_33,plain,
mult(rd(X1,X2),X2) = rd(mult(X1,X3),X3),
inference(scs_inference,[],[i_0_10,i_0_25,i_0_16,i_0_15]) ).
cnf(i_0_34,plain,
rd(mult(X1,X2),X2) = mult(X3,ld(X3,X1)),
inference(scs_inference,[],[i_0_10,i_0_26,i_0_16]) ).
cnf(i_0_35,plain,
X1 = mult(X2,ld(X2,X1)),
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_36,plain,
mult(X1,ld(X1,X2)) = rd(mult(X2,X3),X3),
inference(scs_inference,[],[i_0_10,i_0_26,i_0_16,i_0_15]) ).
cnf(i_0_37,plain,
rd(mult(X1,X2),X2) = ld(X3,mult(X3,X1)),
inference(scs_inference,[],[i_0_10,i_0_27,i_0_16]) ).
cnf(i_0_38,plain,
X1 = ld(X2,mult(X2,X1)),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_39,plain,
ld(X1,mult(X1,X2)) = rd(mult(X2,X3),X3),
inference(scs_inference,[],[i_0_10,i_0_27,i_0_16,i_0_15]) ).
cnf(i_0_40,plain,
mult(rd(X1,X2),X2) = mult(rd(X1,X3),X3),
inference(scs_inference,[],[i_0_11,i_0_25,i_0_16]) ).
cnf(i_0_41,plain,
X1 = mult(rd(X1,X2),X2),
inference(rename_variables,[],[i_0_25]) ).
cnf(i_0_42,plain,
mult(rd(X1,X2),X2) = mult(X3,ld(X3,X1)),
inference(scs_inference,[],[i_0_11,i_0_26,i_0_16]) ).
cnf(i_0_43,plain,
X1 = mult(X2,ld(X2,X1)),
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_44,plain,
mult(X1,ld(X1,X2)) = mult(rd(X2,X3),X3),
inference(scs_inference,[],[i_0_11,i_0_26,i_0_16,i_0_15]) ).
cnf(i_0_45,plain,
mult(rd(X1,X2),X2) = ld(X3,mult(X3,X1)),
inference(scs_inference,[],[i_0_11,i_0_27,i_0_16]) ).
cnf(i_0_46,plain,
X1 = ld(X2,mult(X2,X1)),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_47,plain,
ld(X1,mult(X1,X2)) = mult(rd(X2,X3),X3),
inference(scs_inference,[],[i_0_11,i_0_27,i_0_16,i_0_15]) ).
cnf(i_0_48,plain,
mult(X1,ld(X1,X2)) = mult(X3,ld(X3,X2)),
inference(scs_inference,[],[i_0_12,i_0_26,i_0_16]) ).
cnf(i_0_49,plain,
X1 = mult(X2,ld(X2,X1)),
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_50,plain,
mult(X1,ld(X1,X2)) = ld(X3,mult(X3,X2)),
inference(scs_inference,[],[i_0_12,i_0_27,i_0_16]) ).
cnf(i_0_51,plain,
X1 = ld(X2,mult(X2,X1)),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_52,plain,
ld(X1,mult(X1,X2)) = mult(X3,ld(X3,X2)),
inference(scs_inference,[],[i_0_12,i_0_27,i_0_16,i_0_15]) ).
cnf(i_0_53,plain,
ld(X1,mult(X1,X2)) = ld(X3,mult(X3,X2)),
inference(scs_inference,[],[i_0_13,i_0_27,i_0_16]) ).
cnf(i_0_54,plain,
X1 = ld(X2,mult(X2,X1)),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_55,plain,
X1 = mult(rd(rd(mult(X1,X2),X2),X3),X3),
inference(scs_inference,[],[i_0_24,i_0_25,i_0_16]) ).
cnf(i_0_56,plain,
X1 = mult(rd(X1,X2),X2),
inference(rename_variables,[],[i_0_25]) ).
cnf(i_0_57,plain,
mult(rd(rd(mult(X1,X2),X2),X3),X3) = X1,
inference(scs_inference,[],[i_0_24,i_0_25,i_0_16,i_0_15]) ).
cnf(i_0_58,plain,
X1 = mult(X2,ld(X2,rd(mult(X1,X3),X3))),
inference(scs_inference,[],[i_0_24,i_0_26,i_0_16]) ).
cnf(i_0_59,plain,
X1 = mult(X2,ld(X2,X1)),
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_60,plain,
mult(X1,ld(X1,rd(mult(X2,X3),X3))) = X2,
inference(scs_inference,[],[i_0_24,i_0_26,i_0_16,i_0_15]) ).
cnf(i_0_61,plain,
X1 = ld(X2,mult(X2,rd(mult(X1,X3),X3))),
inference(scs_inference,[],[i_0_24,i_0_27,i_0_16]) ).
cnf(i_0_62,plain,
X1 = ld(X2,mult(X2,X1)),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_63,plain,
ld(X1,mult(X1,rd(mult(X2,X3),X3))) = X2,
inference(scs_inference,[],[i_0_24,i_0_27,i_0_16,i_0_15]) ).
cnf(i_0_64,plain,
X1 = rd(mult(mult(rd(X1,X2),X2),X3),X3),
inference(scs_inference,[],[i_0_25,i_0_24,i_0_16]) ).
cnf(i_0_65,plain,
X1 = rd(mult(X1,X2),X2),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_66,plain,
rd(mult(mult(rd(X1,X2),X2),X3),X3) = X1,
inference(scs_inference,[],[i_0_25,i_0_24,i_0_16,i_0_15]) ).
cnf(i_0_67,plain,
X1 = mult(X2,ld(X2,mult(rd(X1,X3),X3))),
inference(scs_inference,[],[i_0_25,i_0_26,i_0_16]) ).
cnf(i_0_68,plain,
X1 = mult(X2,ld(X2,X1)),
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_69,plain,
mult(X1,ld(X1,mult(rd(X2,X3),X3))) = X2,
inference(scs_inference,[],[i_0_25,i_0_26,i_0_16,i_0_15]) ).
cnf(i_0_70,plain,
X1 = ld(X2,mult(X2,mult(rd(X1,X3),X3))),
inference(scs_inference,[],[i_0_25,i_0_27,i_0_16]) ).
cnf(i_0_71,plain,
X1 = ld(X2,mult(X2,X1)),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_72,plain,
ld(X1,mult(X1,mult(rd(X2,X3),X3))) = X2,
inference(scs_inference,[],[i_0_25,i_0_27,i_0_16,i_0_15]) ).
cnf(i_0_73,plain,
X1 = rd(mult(mult(X2,ld(X2,X1)),X3),X3),
inference(scs_inference,[],[i_0_26,i_0_24,i_0_16]) ).
cnf(i_0_74,plain,
X1 = rd(mult(X1,X2),X2),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_75,plain,
rd(mult(mult(X1,ld(X1,X2)),X3),X3) = X2,
inference(scs_inference,[],[i_0_26,i_0_24,i_0_16,i_0_15]) ).
cnf(i_0_76,plain,
X1 = mult(rd(mult(X2,ld(X2,X1)),X3),X3),
inference(scs_inference,[],[i_0_26,i_0_25,i_0_16]) ).
cnf(i_0_77,plain,
X1 = mult(rd(X1,X2),X2),
inference(rename_variables,[],[i_0_25]) ).
cnf(i_0_78,plain,
mult(rd(mult(X1,ld(X1,X2)),X3),X3) = X2,
inference(scs_inference,[],[i_0_26,i_0_25,i_0_16,i_0_15]) ).
cnf(i_0_79,plain,
X1 = ld(X2,mult(X2,mult(X3,ld(X3,X1)))),
inference(scs_inference,[],[i_0_26,i_0_27,i_0_16]) ).
cnf(i_0_80,plain,
X1 = ld(X2,mult(X2,X1)),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_81,plain,
ld(X1,mult(X1,mult(X2,ld(X2,X3)))) = X3,
inference(scs_inference,[],[i_0_26,i_0_27,i_0_16,i_0_15]) ).
cnf(i_0_82,plain,
X1 = rd(mult(ld(X2,mult(X2,X1)),X3),X3),
inference(scs_inference,[],[i_0_27,i_0_24,i_0_16]) ).
cnf(i_0_83,plain,
X1 = rd(mult(X1,X2),X2),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_84,plain,
rd(mult(ld(X1,mult(X1,X2)),X3),X3) = X2,
inference(scs_inference,[],[i_0_27,i_0_24,i_0_16,i_0_15]) ).
cnf(i_0_85,plain,
X1 = mult(rd(ld(X2,mult(X2,X1)),X3),X3),
inference(scs_inference,[],[i_0_27,i_0_25,i_0_16]) ).
cnf(i_0_86,plain,
X1 = mult(rd(X1,X2),X2),
inference(rename_variables,[],[i_0_25]) ).
cnf(i_0_87,plain,
mult(rd(ld(X1,mult(X1,X2)),X3),X3) = X2,
inference(scs_inference,[],[i_0_27,i_0_25,i_0_16,i_0_15]) ).
cnf(i_0_88,plain,
X1 = mult(X2,ld(X2,ld(X3,mult(X3,X1)))),
inference(scs_inference,[],[i_0_27,i_0_26,i_0_16]) ).
cnf(i_0_89,plain,
X1 = mult(X2,ld(X2,X1)),
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_90,plain,
mult(X1,ld(X1,ld(X2,mult(X2,X3)))) = X3,
inference(scs_inference,[],[i_0_27,i_0_26,i_0_16,i_0_15]) ).
cnf(i_0_103,plain,
mult(mult(a,mult(a,a)),mult(b,c)) != mult(mult(rd(mult(a,b),mult(a,b)),mult(a,a)),mult(mult(a,b),c)),
inference(scs_inference,[],[i_0_23,i_0_7,i_0_16]) ).
cnf(i_0_104,plain,
mult(mult(rd(X1,X1),X2),mult(X1,X3)) = mult(X1,mult(X2,X3)),
inference(rename_variables,[],[i_0_23]) ).
cnf(i_0_249,plain,
ld(mult(mult(X1,X2),mult(X3,ld(X2,X2))),X4) = ld(mult(mult(X1,X3),X2),X4),
inference(scs_inference,[],[i_0_28,i_0_19]) ).
cnf(i_0_250,plain,
ld(X1,mult(mult(X2,X3),mult(X4,ld(X3,X3)))) = ld(X1,mult(mult(X2,X4),X3)),
inference(scs_inference,[],[i_0_28,i_0_19,i_0_20]) ).
cnf(i_0_251,plain,
rd(mult(mult(X1,X2),mult(X3,ld(X2,X2))),X4) = rd(mult(mult(X1,X3),X2),X4),
inference(scs_inference,[],[i_0_28,i_0_19,i_0_20,i_0_21]) ).
cnf(i_0_252,plain,
rd(X1,mult(mult(X2,X3),mult(X4,ld(X3,X3)))) = rd(X1,mult(mult(X2,X4),X3)),
inference(scs_inference,[],[i_0_28,i_0_19,i_0_20,i_0_21,i_0_22]) ).
cnf(i_0_253,plain,
mult(X1,mult(mult(X2,X3),mult(X4,ld(X3,X3)))) = mult(X1,mult(mult(X2,X4),X3)),
inference(scs_inference,[],[i_0_28,i_0_19,i_0_20,i_0_21,i_0_22,i_0_18]) ).
cnf(i_0_254,plain,
mult(mult(mult(X1,X2),mult(X3,ld(X2,X2))),X4) = mult(mult(mult(X1,X3),X2),X4),
inference(scs_inference,[],[i_0_28,i_0_19,i_0_20,i_0_21,i_0_22,i_0_18,i_0_17]) ).
cnf(i_0_274,plain,
rd(mult(X1,mult(X2,X3)),X4) = rd(mult(mult(rd(X1,X1),X2),mult(X1,X3)),X4),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_293,plain,
ld(mult(X1,mult(X2,X3)),X4) = ld(mult(mult(rd(X1,X1),X2),mult(X1,X3)),X4),
inference(rename_variables,[],[i_0_259]) ).
cnf(i_0_329,plain,
ld(X1,mult(X2,mult(X3,X4))) = ld(X1,mult(mult(rd(X2,X2),X3),mult(X2,X4))),
inference(rename_variables,[],[i_0_260]) ).
cnf(i_0_359,plain,
mult(X1,mult(mult(X2,X3),X4)) = mult(X1,mult(mult(X2,X4),mult(X3,ld(X4,X4)))),
inference(rename_variables,[],[i_0_166]) ).
cnf(i_0_361,plain,
ld(ld(rd(mult(X1,X2),X2),X3),X4) = ld(ld(X1,X3),X4),
inference(scs_inference,[],[i_0_352,i_0_19]) ).
cnf(i_0_362,plain,
ld(X1,ld(rd(mult(X2,X3),X3),X4)) = ld(X1,ld(X2,X4)),
inference(scs_inference,[],[i_0_352,i_0_19,i_0_20]) ).
cnf(i_0_363,plain,
rd(ld(rd(mult(X1,X2),X2),X3),X4) = rd(ld(X1,X3),X4),
inference(scs_inference,[],[i_0_352,i_0_19,i_0_20,i_0_21]) ).
cnf(i_0_364,plain,
rd(X1,ld(rd(mult(X2,X3),X3),X4)) = rd(X1,ld(X2,X4)),
inference(scs_inference,[],[i_0_352,i_0_19,i_0_20,i_0_21,i_0_22]) ).
cnf(i_0_365,plain,
mult(X1,ld(rd(mult(X2,X3),X3),X4)) = mult(X1,ld(X2,X4)),
inference(scs_inference,[],[i_0_352,i_0_19,i_0_20,i_0_21,i_0_22,i_0_18]) ).
cnf(i_0_366,plain,
mult(ld(rd(mult(X1,X2),X2),X3),X4) = mult(ld(X1,X3),X4),
inference(scs_inference,[],[i_0_352,i_0_19,i_0_20,i_0_21,i_0_22,i_0_18,i_0_17]) ).
cnf(i_0_367,plain,
ld(rd(mult(X1,X2),X2),rd(mult(X3,X4),X4)) = ld(X1,X3),
inference(scs_inference,[],[i_0_352,i_0_353,i_0_19,i_0_20,i_0_21,i_0_22,i_0_18,i_0_17,i_0_16]) ).
cnf(i_0_368,plain,
ld(X1,rd(mult(X2,X3),X3)) = ld(X1,X2),
inference(rename_variables,[],[i_0_353]) ).
cnf(i_0_369,plain,
ld(rd(rd(mult(X1,X2),X2),X3),X4) = ld(rd(X1,X3),X4),
inference(scs_inference,[],[i_0_354,i_0_19]) ).
cnf(i_0_370,plain,
ld(X1,rd(rd(mult(X2,X3),X3),X4)) = ld(X1,rd(X2,X4)),
inference(scs_inference,[],[i_0_354,i_0_19,i_0_20]) ).
cnf(i_0_371,plain,
rd(rd(rd(mult(X1,X2),X2),X3),X4) = rd(rd(X1,X3),X4),
inference(scs_inference,[],[i_0_354,i_0_19,i_0_20,i_0_21]) ).
cnf(i_0_372,plain,
rd(X1,rd(rd(mult(X2,X3),X3),X4)) = rd(X1,rd(X2,X4)),
inference(scs_inference,[],[i_0_354,i_0_19,i_0_20,i_0_21,i_0_22]) ).
cnf(i_0_373,plain,
mult(X1,rd(rd(mult(X2,X3),X3),X4)) = mult(X1,rd(X2,X4)),
inference(scs_inference,[],[i_0_354,i_0_19,i_0_20,i_0_21,i_0_22,i_0_18]) ).
cnf(i_0_374,plain,
mult(rd(rd(mult(X1,X2),X2),X3),X4) = mult(rd(X1,X3),X4),
inference(scs_inference,[],[i_0_354,i_0_19,i_0_20,i_0_21,i_0_22,i_0_18,i_0_17]) ).
cnf(i_0_376,plain,
mult(X1,mult(X2,mult(X3,X4))) = mult(X1,mult(mult(rd(X2,X2),X3),mult(X2,X4))),
inference(rename_variables,[],[i_0_263]) ).
cnf(i_0_377,plain,
ld(rd(X1,rd(mult(X2,X3),X3)),X4) = ld(rd(X1,X2),X4),
inference(scs_inference,[],[i_0_355,i_0_19]) ).
cnf(i_0_378,plain,
ld(X1,rd(X2,rd(mult(X3,X4),X4))) = ld(X1,rd(X2,X3)),
inference(scs_inference,[],[i_0_355,i_0_19,i_0_20]) ).
cnf(i_0_379,plain,
rd(rd(X1,rd(mult(X2,X3),X3)),X4) = rd(rd(X1,X2),X4),
inference(scs_inference,[],[i_0_355,i_0_19,i_0_20,i_0_21]) ).
cnf(i_0_380,plain,
rd(X1,rd(X2,rd(mult(X3,X4),X4))) = rd(X1,rd(X2,X3)),
inference(scs_inference,[],[i_0_355,i_0_19,i_0_20,i_0_21,i_0_22]) ).
cnf(i_0_381,plain,
mult(X1,rd(X2,rd(mult(X3,X4),X4))) = mult(X1,rd(X2,X3)),
inference(scs_inference,[],[i_0_355,i_0_19,i_0_20,i_0_21,i_0_22,i_0_18]) ).
cnf(i_0_382,plain,
mult(rd(X1,rd(mult(X2,X3),X3)),X4) = mult(rd(X1,X2),X4),
inference(scs_inference,[],[i_0_355,i_0_19,i_0_20,i_0_21,i_0_22,i_0_18,i_0_17]) ).
cnf(i_0_386,plain,
ld(mult(X1,rd(mult(X2,X3),X3)),X4) = ld(mult(X1,X2),X4),
inference(scs_inference,[],[i_0_356,i_0_19]) ).
cnf(i_0_387,plain,
ld(X1,mult(X2,rd(mult(X3,X4),X4))) = ld(X1,mult(X2,X3)),
inference(scs_inference,[],[i_0_356,i_0_19,i_0_20]) ).
cnf(i_0_388,plain,
rd(mult(X1,rd(mult(X2,X3),X3)),X4) = rd(mult(X1,X2),X4),
inference(scs_inference,[],[i_0_356,i_0_19,i_0_20,i_0_21]) ).
cnf(i_0_389,plain,
rd(X1,mult(X2,rd(mult(X3,X4),X4))) = rd(X1,mult(X2,X3)),
inference(scs_inference,[],[i_0_356,i_0_19,i_0_20,i_0_21,i_0_22]) ).
cnf(i_0_390,plain,
mult(X1,mult(X2,rd(mult(X3,X4),X4))) = mult(X1,mult(X2,X3)),
inference(scs_inference,[],[i_0_356,i_0_19,i_0_20,i_0_21,i_0_22,i_0_18]) ).
cnf(i_0_391,plain,
mult(mult(X1,rd(mult(X2,X3),X3)),X4) = mult(mult(X1,X2),X4),
inference(scs_inference,[],[i_0_356,i_0_19,i_0_20,i_0_21,i_0_22,i_0_18,i_0_17]) ).
cnf(i_0_393,plain,
mult(mult(X1,mult(X2,X3)),X4) = mult(mult(mult(rd(X1,X1),X2),mult(X1,X3)),X4),
inference(rename_variables,[],[i_0_264]) ).
cnf(i_0_395,plain,
ld(mult(rd(mult(X1,X2),X2),X3),X4) = ld(mult(X1,X3),X4),
inference(scs_inference,[],[i_0_357,i_0_19]) ).
cnf(i_0_396,plain,
ld(X1,mult(rd(mult(X2,X3),X3),X4)) = ld(X1,mult(X2,X4)),
inference(scs_inference,[],[i_0_357,i_0_19,i_0_20]) ).
cnf(i_0_397,plain,
rd(mult(rd(mult(X1,X2),X2),X3),X4) = rd(mult(X1,X3),X4),
inference(scs_inference,[],[i_0_357,i_0_19,i_0_20,i_0_21]) ).
cnf(i_0_398,plain,
rd(X1,mult(rd(mult(X2,X3),X3),X4)) = rd(X1,mult(X2,X4)),
inference(scs_inference,[],[i_0_357,i_0_19,i_0_20,i_0_21,i_0_22]) ).
cnf(i_0_399,plain,
mult(X1,mult(rd(mult(X2,X3),X3),X4)) = mult(X1,mult(X2,X4)),
inference(scs_inference,[],[i_0_357,i_0_19,i_0_20,i_0_21,i_0_22,i_0_18]) ).
cnf(i_0_400,plain,
mult(mult(rd(mult(X1,X2),X2),X3),X4) = mult(mult(X1,X3),X4),
inference(scs_inference,[],[i_0_357,i_0_19,i_0_20,i_0_21,i_0_22,i_0_18,i_0_17]) ).
cnf(i_0_402,plain,
mult(rd(mult(X1,X2),X2),X3) = mult(X1,X3),
inference(rename_variables,[],[i_0_357]) ).
cnf(i_0_411,plain,
mult(mult(mult(X1,X2),X3),X4) = mult(mult(mult(X1,X3),mult(X2,ld(X3,X3))),X4),
inference(rename_variables,[],[i_0_167]) ).
cnf(i_0_459,plain,
ld(ld(mult(rd(X1,X2),X2),X3),X4) = ld(ld(X1,X3),X4),
inference(scs_inference,[],[i_0_450,i_0_19]) ).
cnf(i_0_460,plain,
ld(X1,ld(mult(rd(X2,X3),X3),X4)) = ld(X1,ld(X2,X4)),
inference(scs_inference,[],[i_0_450,i_0_19,i_0_20]) ).
cnf(i_0_461,plain,
rd(ld(mult(rd(X1,X2),X2),X3),X4) = rd(ld(X1,X3),X4),
inference(scs_inference,[],[i_0_450,i_0_19,i_0_20,i_0_21]) ).
cnf(i_0_462,plain,
rd(X1,ld(mult(rd(X2,X3),X3),X4)) = rd(X1,ld(X2,X4)),
inference(scs_inference,[],[i_0_450,i_0_19,i_0_20,i_0_21,i_0_22]) ).
cnf(i_0_463,plain,
mult(X1,ld(mult(rd(X2,X3),X3),X4)) = mult(X1,ld(X2,X4)),
inference(scs_inference,[],[i_0_450,i_0_19,i_0_20,i_0_21,i_0_22,i_0_18]) ).
cnf(i_0_464,plain,
mult(ld(mult(rd(X1,X2),X2),X3),X4) = mult(ld(X1,X3),X4),
inference(scs_inference,[],[i_0_450,i_0_19,i_0_20,i_0_21,i_0_22,i_0_18,i_0_17]) ).
cnf(i_0_466,plain,
mult(mult(rd(X1,X1),X2),mult(X1,X3)) = mult(X1,mult(X2,X3)),
inference(rename_variables,[],[i_0_23]) ).
cnf(i_0_468,plain,
ld(ld(X1,mult(rd(X2,X3),X3)),X4) = ld(ld(X1,X2),X4),
inference(scs_inference,[],[i_0_451,i_0_19]) ).
cnf(i_0_469,plain,
ld(X1,ld(X2,mult(rd(X3,X4),X4))) = ld(X1,ld(X2,X3)),
inference(scs_inference,[],[i_0_451,i_0_19,i_0_20]) ).
cnf(i_0_470,plain,
rd(ld(X1,mult(rd(X2,X3),X3)),X4) = rd(ld(X1,X2),X4),
inference(scs_inference,[],[i_0_451,i_0_19,i_0_20,i_0_21]) ).
cnf(i_0_471,plain,
rd(X1,ld(X2,mult(rd(X3,X4),X4))) = rd(X1,ld(X2,X3)),
inference(scs_inference,[],[i_0_451,i_0_19,i_0_20,i_0_21,i_0_22]) ).
cnf(i_0_472,plain,
mult(X1,ld(X2,mult(rd(X3,X4),X4))) = mult(X1,ld(X2,X3)),
inference(scs_inference,[],[i_0_451,i_0_19,i_0_20,i_0_21,i_0_22,i_0_18]) ).
cnf(i_0_473,plain,
mult(ld(X1,mult(rd(X2,X3),X3)),X4) = mult(ld(X1,X2),X4),
inference(scs_inference,[],[i_0_451,i_0_19,i_0_20,i_0_21,i_0_22,i_0_18,i_0_17]) ).
cnf(i_0_474,plain,
rd(mult(rd(X1,X2),X2),mult(rd(X3,X4),X4)) = rd(X1,X3),
inference(scs_inference,[],[i_0_451,i_0_452,i_0_453,i_0_19,i_0_20,i_0_21,i_0_22,i_0_18,i_0_17,i_0_16]) ).
cnf(i_0_475,plain,
rd(mult(rd(X1,X2),X2),X3) = rd(X1,X3),
inference(rename_variables,[],[i_0_452]) ).
cnf(i_0_476,plain,
ld(mult(X1,mult(rd(X2,X3),X3)),X4) = ld(mult(X1,X2),X4),
inference(scs_inference,[],[i_0_454,i_0_19]) ).
cnf(i_0_477,plain,
ld(X1,mult(X2,mult(rd(X3,X4),X4))) = ld(X1,mult(X2,X3)),
inference(scs_inference,[],[i_0_454,i_0_19,i_0_20]) ).
cnf(i_0_478,plain,
rd(mult(X1,mult(rd(X2,X3),X3)),X4) = rd(mult(X1,X2),X4),
inference(scs_inference,[],[i_0_454,i_0_19,i_0_20,i_0_21]) ).
cnf(i_0_479,plain,
rd(X1,mult(X2,mult(rd(X3,X4),X4))) = rd(X1,mult(X2,X3)),
inference(scs_inference,[],[i_0_454,i_0_19,i_0_20,i_0_21,i_0_22]) ).
cnf(i_0_480,plain,
mult(X1,mult(X2,mult(rd(X3,X4),X4))) = mult(X1,mult(X2,X3)),
inference(scs_inference,[],[i_0_454,i_0_19,i_0_20,i_0_21,i_0_22,i_0_18]) ).
cnf(i_0_481,plain,
mult(mult(X1,mult(rd(X2,X3),X3)),X4) = mult(mult(X1,X2),X4),
inference(scs_inference,[],[i_0_454,i_0_19,i_0_20,i_0_21,i_0_22,i_0_18,i_0_17]) ).
cnf(i_0_485,plain,
ld(mult(mult(rd(X1,X2),X2),X3),X4) = ld(mult(X1,X3),X4),
inference(scs_inference,[],[i_0_455,i_0_19]) ).
cnf(i_0_486,plain,
ld(X1,mult(mult(rd(X2,X3),X3),X4)) = ld(X1,mult(X2,X4)),
inference(scs_inference,[],[i_0_455,i_0_19,i_0_20]) ).
cnf(i_0_487,plain,
rd(mult(mult(rd(X1,X2),X2),X3),X4) = rd(mult(X1,X3),X4),
inference(scs_inference,[],[i_0_455,i_0_19,i_0_20,i_0_21]) ).
cnf(c_0_35,axiom,
mult(mult(X1,X2),X3) = mult(mult(X1,X3),mult(X2,ld(X3,X3))),
i_0_8 ).
cnf(c_0_36,plain,
X1 = mult(rd(X1,X2),X2),
i_0_25 ).
cnf(c_0_37,plain,
X1 = ld(X2,mult(X2,X1)),
i_0_27 ).
cnf(c_0_38,plain,
mult(X1,mult(X2,ld(X3,X3))) = mult(mult(rd(X1,X3),X2),X3),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_39,axiom,
mult(X1,mult(X2,X3)) = mult(mult(rd(X1,X1),X2),mult(X1,X3)),
i_0_9 ).
cnf(c_0_40,plain,
ld(X1,mult(mult(rd(X1,X2),X3),X2)) = mult(X3,ld(X2,X2)),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_41,plain,
X1 = rd(mult(X1,X2),X2),
i_0_24 ).
cnf(c_0_42,plain,
ld(mult(rd(X1,X1),X2),mult(X1,mult(X2,X3))) = mult(X1,X3),
inference(spm,[status(thm)],[c_0_37,c_0_39]) ).
cnf(c_0_43,plain,
X1 = mult(X2,ld(X2,X1)),
i_0_26 ).
cnf(c_0_44,plain,
ld(mult(X1,X2),mult(mult(X1,X3),X2)) = mult(X3,ld(X2,X2)),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_45,plain,
mult(mult(rd(rd(X1,X2),rd(X1,X2)),X3),X1) = mult(rd(X1,X2),mult(X3,X2)),
inference(spm,[status(thm)],[c_0_39,c_0_36]) ).
cnf(c_0_46,plain,
ld(mult(rd(X1,X1),X2),mult(X1,X3)) = mult(X1,ld(X2,X3)),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_47,plain,
mult(rd(X1,X2),ld(X1,mult(X3,X2))) = mult(X3,ld(X1,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]) ).
cnf(c_0_48,plain,
mult(rd(X1,ld(X2,X3)),ld(X1,X3)) = mult(X2,ld(X1,X1)),
inference(spm,[status(thm)],[c_0_47,c_0_43]) ).
cnf(c_0_49,plain,
rd(mult(X1,mult(X2,X3)),mult(X1,X3)) = mult(rd(X1,X1),X2),
inference(spm,[status(thm)],[c_0_41,c_0_39]) ).
cnf(c_0_50,plain,
mult(rd(X1,ld(X2,mult(X1,X3))),X3) = mult(X2,ld(X1,X1)),
inference(spm,[status(thm)],[c_0_48,c_0_37]) ).
cnf(c_0_51,plain,
ld(rd(X1,X2),X1) = X2,
inference(spm,[status(thm)],[c_0_37,c_0_36]) ).
cnf(c_0_52,plain,
mult(rd(X1,X1),rd(X2,X3)) = rd(mult(X1,X2),mult(X1,X3)),
inference(spm,[status(thm)],[c_0_49,c_0_36]) ).
cnf(c_0_53,plain,
mult(X1,mult(X2,ld(X1,X3))) = mult(mult(rd(X1,X1),X2),X3),
inference(spm,[status(thm)],[c_0_39,c_0_43]) ).
cnf(c_0_54,plain,
mult(rd(mult(X1,X2),X3),ld(X1,X1)) = mult(rd(X1,X3),X2),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_55,plain,
mult(rd(mult(X1,X2),mult(X1,X3)),mult(X1,X4)) = mult(X1,mult(rd(X2,X3),X4)),
inference(spm,[status(thm)],[c_0_39,c_0_52]) ).
cnf(c_0_56,plain,
mult(rd(mult(X1,mult(X1,X2)),mult(X1,X3)),X1) = mult(X1,mult(rd(X1,X3),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_52]) ).
cnf(c_0_57,plain,
mult(X1,mult(rd(X2,ld(X1,X3)),X4)) = mult(rd(mult(X1,X2),X3),mult(X1,X4)),
inference(spm,[status(thm)],[c_0_55,c_0_43]) ).
cnf(c_0_58,plain,
rd(X1,ld(X2,X1)) = X2,
inference(spm,[status(thm)],[c_0_41,c_0_43]) ).
cnf(c_0_59,plain,
mult(rd(mult(X1,mult(X1,X2)),X3),X1) = mult(rd(mult(X1,X1),X3),mult(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_43]),c_0_57]) ).
cnf(c_0_60,plain,
rd(mult(mult(X1,X2),X3),mult(X2,ld(X3,X3))) = mult(X1,X3),
inference(spm,[status(thm)],[c_0_58,c_0_44]) ).
cnf(c_0_61,plain,
mult(rd(mult(X1,X2),X3),X1) = mult(rd(mult(X1,X1),X3),X2),
inference(spm,[status(thm)],[c_0_59,c_0_43]) ).
cnf(c_0_62,plain,
rd(mult(X1,X2),mult(X3,ld(X2,X2))) = mult(rd(X1,X3),X2),
inference(spm,[status(thm)],[c_0_60,c_0_36]) ).
cnf(c_0_63,plain,
mult(rd(mult(X1,X2),ld(X3,mult(X1,X1))),X1) = mult(X3,X2),
inference(spm,[status(thm)],[c_0_61,c_0_58]) ).
cnf(c_0_64,plain,
rd(X1,mult(X2,ld(X3,X3))) = mult(rd(rd(X1,X3),X2),X3),
inference(spm,[status(thm)],[c_0_62,c_0_36]) ).
cnf(c_0_65,plain,
rd(mult(rd(mult(X1,X2),X3),X1),X2) = rd(mult(X1,X1),X3),
inference(spm,[status(thm)],[c_0_41,c_0_61]) ).
cnf(c_0_66,plain,
rd(mult(X1,ld(X2,X2)),X3) = rd(X2,ld(X1,mult(X2,X3))),
inference(spm,[status(thm)],[c_0_41,c_0_50]) ).
cnf(c_0_67,plain,
rd(mult(rd(X1,X2),X3),ld(X1,X1)) = rd(mult(X1,X3),X2),
inference(spm,[status(thm)],[c_0_41,c_0_54]) ).
cnf(c_0_68,plain,
rd(mult(X1,X2),ld(X3,mult(X1,X1))) = rd(mult(X3,X2),X1),
inference(spm,[status(thm)],[c_0_41,c_0_63]) ).
cnf(c_0_69,plain,
mult(ld(X1,X2),ld(X3,X3)) = ld(mult(X1,X3),mult(X2,X3)),
inference(spm,[status(thm)],[c_0_44,c_0_43]) ).
cnf(c_0_70,plain,
mult(rd(mult(rd(X1,X2),X3),X1),X2) = mult(rd(X1,X1),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_64]),c_0_38]),c_0_41]) ).
cnf(c_0_71,plain,
rd(mult(X1,X2),ld(X2,mult(X1,X3))) = rd(mult(X2,X2),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]) ).
cnf(c_0_72,plain,
ld(rd(mult(X1,X2),X3),mult(X3,X2)) = ld(X1,mult(X3,X3)),
inference(spm,[status(thm)],[c_0_51,c_0_68]) ).
cnf(c_0_73,plain,
mult(mult(rd(X1,X2),ld(X3,X4)),X2) = mult(X1,ld(mult(X3,X2),mult(X4,X2))),
inference(spm,[status(thm)],[c_0_38,c_0_69]) ).
cnf(c_0_74,plain,
mult(rd(mult(X1,X2),X3),ld(X1,X3)) = mult(rd(X3,X3),X2),
inference(spm,[status(thm)],[c_0_70,c_0_58]) ).
cnf(c_0_75,plain,
ld(rd(mult(X1,X1),X2),mult(X3,X1)) = ld(X1,mult(X3,X2)),
inference(spm,[status(thm)],[c_0_51,c_0_71]) ).
cnf(c_0_76,plain,
ld(rd(X1,X2),mult(X2,ld(X3,X1))) = ld(X3,mult(X2,X2)),
inference(spm,[status(thm)],[c_0_72,c_0_43]) ).
cnf(c_0_77,plain,
mult(mult(X1,X2),ld(mult(X1,X3),mult(X3,X3))) = mult(mult(rd(X3,X3),X2),X3),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_78,plain,
ld(rd(mult(X1,X1),X2),X3) = ld(X1,mult(rd(X3,X1),X2)),
inference(spm,[status(thm)],[c_0_75,c_0_36]) ).
cnf(c_0_79,plain,
ld(X1,mult(mult(rd(X1,X1),X2),X3)) = mult(X2,ld(X1,X3)),
inference(spm,[status(thm)],[c_0_37,c_0_53]) ).
cnf(c_0_80,plain,
mult(X1,mult(ld(rd(X1,X1),X2),X3)) = mult(X2,mult(X1,X3)),
inference(spm,[status(thm)],[c_0_39,c_0_43]) ).
cnf(c_0_81,plain,
ld(mult(X1,X2),mult(mult(X1,X3),mult(X1,X3))) = mult(X3,ld(X2,mult(X1,X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]),c_0_41]),c_0_79]) ).
cnf(c_0_82,plain,
mult(ld(rd(X1,X1),X2),X3) = ld(X1,mult(X2,mult(X1,X3))),
inference(spm,[status(thm)],[c_0_37,c_0_80]) ).
cnf(c_0_83,plain,
ld(mult(rd(X1,X2),X3),mult(X1,X1)) = mult(X2,ld(X3,X1)),
inference(spm,[status(thm)],[c_0_81,c_0_36]) ).
cnf(c_0_84,plain,
mult(mult(rd(X1,X2),rd(X3,ld(X2,X2))),X2) = mult(X1,X3),
inference(spm,[status(thm)],[c_0_38,c_0_36]) ).
cnf(c_0_85,plain,
rd(ld(X1,mult(X2,mult(X1,X3))),X3) = ld(rd(X1,X1),X2),
inference(spm,[status(thm)],[c_0_41,c_0_82]) ).
cnf(c_0_86,plain,
rd(mult(X1,X1),mult(X2,ld(X3,X1))) = mult(rd(X1,X2),X3),
inference(spm,[status(thm)],[c_0_58,c_0_83]) ).
cnf(c_0_87,plain,
mult(mult(X1,rd(X2,ld(X3,X3))),X3) = mult(mult(X1,X3),X2),
inference(spm,[status(thm)],[c_0_84,c_0_41]) ).
cnf(c_0_88,plain,
rd(ld(X1,mult(X2,X3)),ld(X1,X3)) = ld(rd(X1,X1),X2),
inference(spm,[status(thm)],[c_0_85,c_0_43]) ).
cnf(c_0_89,plain,
mult(rd(X1,rd(X2,ld(X3,X1))),X3) = rd(mult(X1,X1),X2),
inference(spm,[status(thm)],[c_0_86,c_0_36]) ).
cnf(c_0_90,plain,
mult(X1,rd(X2,ld(X3,X3))) = rd(mult(mult(X1,X3),X2),X3),
inference(spm,[status(thm)],[c_0_41,c_0_87]) ).
cnf(c_0_91,plain,
rd(ld(X1,X2),ld(X1,X3)) = ld(rd(X1,X1),rd(X2,X3)),
inference(spm,[status(thm)],[c_0_88,c_0_36]) ).
cnf(c_0_92,plain,
rd(mult(X1,ld(X2,X3)),X2) = rd(X3,ld(X1,mult(X2,X2))),
inference(spm,[status(thm)],[c_0_68,c_0_43]) ).
cnf(c_0_93,plain,
rd(X1,rd(X2,ld(X3,X1))) = rd(rd(mult(X1,X1),X2),X3),
inference(spm,[status(thm)],[c_0_41,c_0_89]) ).
cnf(c_0_94,plain,
mult(X1,ld(rd(X2,X2),rd(X3,X2))) = rd(X3,ld(mult(X1,X2),mult(X2,X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92]) ).
cnf(c_0_95,plain,
mult(rd(X1,X2),rd(X1,X3)) = rd(mult(X1,X1),mult(X2,X3)),
inference(spm,[status(thm)],[c_0_86,c_0_51]) ).
cnf(c_0_96,plain,
rd(rd(mult(X1,X1),X2),rd(X1,X3)) = rd(X1,rd(X2,X3)),
inference(spm,[status(thm)],[c_0_93,c_0_51]) ).
cnf(c_0_97,plain,
rd(mult(X1,X1),ld(X2,mult(X1,X3))) = rd(mult(X2,X1),X3),
inference(spm,[status(thm)],[c_0_65,c_0_58]) ).
cnf(c_0_98,plain,
mult(ld(X1,X2),ld(X3,X2)) = ld(mult(X1,X3),mult(X2,X2)),
inference(spm,[status(thm)],[c_0_81,c_0_43]) ).
cnf(c_0_99,plain,
mult(rd(rd(X1,X2),X3),rd(X2,X2)) = rd(X1,mult(X3,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_94]),c_0_95]),c_0_96]),c_0_97]),c_0_41]) ).
cnf(c_0_100,plain,
mult(rd(X1,X1),ld(rd(X1,X2),X3)) = mult(rd(X3,X1),X2),
inference(spm,[status(thm)],[c_0_70,c_0_43]) ).
cnf(c_0_101,plain,
ld(mult(X1,rd(X2,X3)),mult(X2,X2)) = mult(ld(X1,X2),X3),
inference(spm,[status(thm)],[c_0_98,c_0_51]) ).
cnf(c_0_102,plain,
mult(rd(X1,X2),rd(X3,X3)) = rd(mult(X1,X3),mult(X2,X3)),
inference(spm,[status(thm)],[c_0_99,c_0_41]) ).
cnf(c_0_103,plain,
ld(rd(mult(X1,X2),X3),mult(X2,X2)) = ld(X1,mult(X2,X3)),
inference(spm,[status(thm)],[c_0_51,c_0_97]) ).
cnf(c_0_104,plain,
mult(X1,mult(ld(rd(X1,X2),X3),X4)) = mult(mult(rd(X3,X1),X2),mult(X1,X4)),
inference(spm,[status(thm)],[c_0_39,c_0_100]) ).
cnf(c_0_105,plain,
mult(ld(rd(X1,X2),X3),X3) = ld(X1,mult(X3,mult(X2,X3))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103]) ).
cnf(c_0_106,plain,
mult(mult(rd(X1,X2),X3),mult(X2,X1)) = mult(X1,mult(X3,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_43]) ).
cnf(c_0_107,plain,
mult(mult(rd(X1,X2),X3),mult(X2,X2)) = mult(X1,mult(X3,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_43]),c_0_104]) ).
cnf(c_0_108,plain,
mult(rd(mult(X1,X2),X3),ld(X1,mult(X3,X3))) = mult(X3,X2),
inference(spm,[status(thm)],[c_0_36,c_0_68]) ).
cnf(c_0_109,plain,
mult(mult(X1,X1),mult(X2,X3)) = mult(mult(X1,X2),mult(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_61]),c_0_107]) ).
cnf(c_0_110,plain,
mult(rd(X1,X2),ld(X3,mult(X2,X2))) = mult(X2,ld(X3,X1)),
inference(spm,[status(thm)],[c_0_108,c_0_43]) ).
cnf(c_0_111,plain,
mult(mult(X1,X2),mult(X1,ld(X2,X3))) = mult(mult(X1,X1),X3),
inference(spm,[status(thm)],[c_0_109,c_0_43]) ).
cnf(c_0_112,plain,
mult(X1,ld(X2,mult(X3,X3))) = mult(X3,ld(X2,mult(X1,X3))),
inference(spm,[status(thm)],[c_0_110,c_0_41]) ).
cnf(c_0_113,plain,
mult(X1,ld(X2,mult(X3,ld(X1,X2)))) = mult(X3,ld(X2,X2)),
inference(spm,[status(thm)],[c_0_47,c_0_58]) ).
cnf(c_0_114,plain,
mult(rd(mult(X1,X1),X2),ld(X1,X3)) = mult(rd(X3,X2),X1),
inference(spm,[status(thm)],[c_0_61,c_0_43]) ).
cnf(c_0_115,plain,
mult(mult(X1,X2),mult(X3,ld(X2,mult(X1,X1)))) = mult(mult(X1,X1),mult(X3,X1)),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_116,plain,
mult(rd(X1,ld(X2,X3)),ld(X3,X3)) = mult(X2,ld(X3,X1)),
inference(spm,[status(thm)],[c_0_113,c_0_36]) ).
cnf(c_0_117,plain,
mult(rd(X1,ld(X2,mult(X3,X3))),X3) = mult(X2,ld(X3,X1)),
inference(spm,[status(thm)],[c_0_114,c_0_58]) ).
cnf(c_0_118,plain,
mult(mult(X1,X1),mult(X2,ld(X1,X3))) = mult(mult(X1,X2),X3),
inference(spm,[status(thm)],[c_0_109,c_0_43]) ).
cnf(c_0_119,plain,
mult(mult(X1,mult(X1,X1)),mult(X2,ld(mult(X1,X1),X3))) = mult(mult(X1,X2),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_117]),c_0_118]) ).
cnf(c_0_120,negated_conjecture,
mult(mult(a,mult(a,a)),mult(b,c)) != mult(mult(a,b),mult(mult(a,a),c)),
i_0_7 ).
cnf(c_0_121,plain,
mult(mult(X1,mult(X1,X1)),mult(X2,X3)) = mult(mult(X1,X2),mult(mult(X1,X1),X3)),
inference(spm,[status(thm)],[c_0_119,c_0_37]) ).
cnf(c_0_122,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_121])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP753-1 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n006.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 19:05:01 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 174.11/78.48 % Version : CSE_E---1.7
% 174.11/78.48 % Problem : theBenchmark.p
% 174.11/78.48 % SZS status Unsatisfiable for theBenchmark.p
% 174.11/78.48 % SZS output start CNFRefutation
% See solution above
% 175.42/79.78 % Total time : 75.925s
%------------------------------------------------------------------------------