%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GRP655-13 : TPTP v9.2.1. Released v8.1.0.
% 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 : n003.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 04:26:45 PM UTC 2026
% Result : Unsatisfiable 69.55s 53.18s
% Output : CNFRefutation 71.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 15
% Syntax : Number of clauses : 225 ( 217 unt; 0 nHn; 45 RR)
% Number of literals : 234 ( 233 equ; 51 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 604 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(f05,axiom,
mult(X1,mult(X2,mult(X3,X2))) = mult(mult(mult(X1,X2),X3),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
cnf(goal,negated_conjecture,
mult(x0,ld(x1,x1)) != x0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
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_6,axiom,
mult(X1,mult(X2,mult(X3,X2))) = mult(mult(mult(X1,X2),X3),X2),
f05,
[final] ).
cnf(i_0_7,negated_conjecture,
mult(x0,ld(x1,x1)) != x0,
goal,
[final] ).
cnf(i_0_8,axiom,
rd(mult(X1,X2),X2) = X1,
f04,
[final] ).
cnf(i_0_9,axiom,
mult(rd(X1,X2),X2) = X1,
f03,
[final] ).
cnf(i_0_10,axiom,
mult(X1,ld(X1,X2)) = X2,
f01,
[final] ).
cnf(i_0_11,axiom,
ld(X1,mult(X1,X2)) = X2,
f02,
[final] ).
cnf(i_0_12,axiom,
X1 = X1 ).
cnf(i_0_13,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_14,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_15,axiom,
( X1 != X2
| mult(X1,X3) = mult(X2,X3) ) ).
cnf(i_0_16,axiom,
( X1 != X2
| mult(X3,X1) = mult(X3,X2) ) ).
cnf(i_0_17,axiom,
( X1 != X2
| ld(X1,X3) = ld(X2,X3) ) ).
cnf(i_0_18,axiom,
( X1 != X2
| ld(X3,X1) = ld(X3,X2) ) ).
cnf(i_0_19,axiom,
( X1 != X2
| rd(X1,X3) = rd(X2,X3) ) ).
cnf(i_0_20,axiom,
( X1 != X2
| rd(X3,X1) = rd(X3,X2) ) ).
cnf(i_0_21,plain,
X1 = rd(mult(X1,X2),X2),
inference(scs_inference,[],[i_0_8,i_0_13]) ).
cnf(i_0_22,plain,
mult(X1,ld(X2,X2)) != rd(mult(X1,X3),X3),
inference(scs_inference,[],[i_0_7,i_0_8,i_0_13,i_0_14]) ).
cnf(i_0_23,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_24,plain,
X1 = mult(rd(X1,X2),X2),
inference(scs_inference,[],[i_0_9,i_0_13]) ).
cnf(i_0_25,plain,
mult(X1,ld(X2,X2)) != mult(rd(X1,X3),X3),
inference(scs_inference,[],[i_0_7,i_0_9,i_0_13,i_0_14]) ).
cnf(i_0_26,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_27,plain,
X1 != rd(X1,ld(X2,X2)),
inference(scs_inference,[],[i_0_7,i_0_9,i_0_13,i_0_14,i_0_15]) ).
cnf(i_0_28,plain,
X1 = mult(X2,ld(X2,X1)),
inference(scs_inference,[],[i_0_10,i_0_13]) ).
cnf(i_0_29,plain,
mult(X1,ld(X2,X2)) != mult(X3,ld(X3,X1)),
inference(scs_inference,[],[i_0_7,i_0_10,i_0_13,i_0_14]) ).
cnf(i_0_30,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_31,plain,
ld(X1,X1) != ld(X2,X2),
inference(scs_inference,[],[i_0_7,i_0_10,i_0_13,i_0_14,i_0_16]) ).
cnf(i_0_32,plain,
X1 = ld(X2,mult(X2,X1)),
inference(scs_inference,[],[i_0_11,i_0_13]) ).
cnf(i_0_33,plain,
mult(X1,ld(X2,X2)) != ld(X3,mult(X3,X1)),
inference(scs_inference,[],[i_0_7,i_0_11,i_0_13,i_0_14]) ).
cnf(i_0_34,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_35,plain,
mult(mult(mult(X1,X2),X3),X2) = mult(X1,mult(X2,mult(X3,X2))),
inference(scs_inference,[],[i_0_6,i_0_13]) ).
cnf(i_0_37,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_39,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_42,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_45,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_47,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_49,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_52,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_55,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_57,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_59,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_61,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_63,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_65,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_67,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_70,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_73,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_75,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_77,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_79,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_81,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_84,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_86,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_89,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_92,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_94,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_96,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_98,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_100,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_102,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_104,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_106,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_108,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_110,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_112,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_114,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_116,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_118,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_120,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_122,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_124,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_126,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_128,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_130,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_132,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_133,plain,
rd(mult(mult(X1,mult(X2,mult(X3,X2))),X4),X4) = mult(mult(mult(X1,X2),X3),X2),
inference(scs_inference,[],[i_0_8,i_0_6,i_0_14]) ).
cnf(i_0_134,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_135,plain,
mult(mult(mult(X1,X2),X3),X2) = rd(mult(mult(X1,mult(X2,mult(X3,X2))),X4),X4),
inference(scs_inference,[],[i_0_8,i_0_6,i_0_14,i_0_13]) ).
cnf(i_0_136,plain,
mult(rd(mult(X1,mult(X2,mult(X3,X2))),X4),X4) = mult(mult(mult(X1,X2),X3),X2),
inference(scs_inference,[],[i_0_9,i_0_6,i_0_14]) ).
cnf(i_0_137,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_138,plain,
mult(mult(mult(X1,X2),X3),X2) = mult(rd(mult(X1,mult(X2,mult(X3,X2))),X4),X4),
inference(scs_inference,[],[i_0_9,i_0_6,i_0_14,i_0_13]) ).
cnf(i_0_139,plain,
mult(X1,ld(X1,mult(X2,mult(X3,mult(X4,X3))))) = mult(mult(mult(X2,X3),X4),X3),
inference(scs_inference,[],[i_0_10,i_0_6,i_0_14]) ).
cnf(i_0_140,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_141,plain,
mult(mult(mult(X1,X2),X3),X2) = mult(X4,ld(X4,mult(X1,mult(X2,mult(X3,X2))))),
inference(scs_inference,[],[i_0_10,i_0_6,i_0_14,i_0_13]) ).
cnf(i_0_142,plain,
ld(X1,mult(X1,mult(X2,mult(X3,mult(X4,X3))))) = mult(mult(mult(X2,X3),X4),X3),
inference(scs_inference,[],[i_0_11,i_0_6,i_0_14]) ).
cnf(i_0_143,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_144,plain,
mult(mult(mult(X1,X2),X3),X2) = ld(X4,mult(X4,mult(X1,mult(X2,mult(X3,X2))))),
inference(scs_inference,[],[i_0_11,i_0_6,i_0_14,i_0_13]) ).
cnf(i_0_146,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_148,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_150,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_152,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_154,plain,
ld(mult(X1,mult(X2,mult(X3,X2))),X4) = ld(mult(mult(mult(X1,X2),X3),X2),X4),
inference(scs_inference,[],[i_0_6,i_0_17]) ).
cnf(i_0_155,plain,
rd(mult(X1,mult(X2,mult(X3,X2))),X4) = rd(mult(mult(mult(X1,X2),X3),X2),X4),
inference(scs_inference,[],[i_0_6,i_0_17,i_0_19]) ).
cnf(i_0_156,plain,
rd(X1,mult(X2,mult(X3,mult(X4,X3)))) = rd(X1,mult(mult(mult(X2,X3),X4),X3)),
inference(scs_inference,[],[i_0_6,i_0_17,i_0_19,i_0_20]) ).
cnf(i_0_157,plain,
ld(X1,mult(X2,mult(X3,mult(X4,X3)))) = ld(X1,mult(mult(mult(X2,X3),X4),X3)),
inference(scs_inference,[],[i_0_6,i_0_17,i_0_19,i_0_20,i_0_18]) ).
cnf(i_0_158,plain,
mult(X1,mult(X2,mult(X3,mult(X4,X3)))) = mult(X1,mult(mult(mult(X2,X3),X4),X3)),
inference(scs_inference,[],[i_0_6,i_0_17,i_0_19,i_0_20,i_0_18,i_0_16]) ).
cnf(i_0_159,plain,
mult(mult(X1,mult(X2,mult(X3,X2))),X4) = mult(mult(mult(mult(X1,X2),X3),X2),X4),
inference(scs_inference,[],[i_0_6,i_0_17,i_0_19,i_0_20,i_0_18,i_0_16,i_0_15]) ).
cnf(i_0_180,plain,
mult(X1,mult(X2,mult(X3,X2))) = mult(mult(mult(X1,X2),X3),X2),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_199,plain,
mult(X1,mult(X2,mult(X3,X2))) = mult(mult(mult(X1,X2),X3),X2),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_209,plain,
mult(X1,mult(X2,mult(X3,X2))) = mult(mult(mult(X1,X2),X3),X2),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_229,plain,
mult(X1,mult(X2,mult(X3,X2))) = mult(mult(mult(X1,X2),X3),X2),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_239,plain,
mult(X1,mult(X2,mult(X3,X2))) = mult(mult(mult(X1,X2),X3),X2),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_261,plain,
ld(rd(mult(X1,X2),X2),X3) = ld(X1,X3),
inference(scs_inference,[],[i_0_8,i_0_17]) ).
cnf(i_0_262,plain,
rd(rd(mult(X1,X2),X2),X3) = rd(X1,X3),
inference(scs_inference,[],[i_0_8,i_0_17,i_0_19]) ).
cnf(i_0_263,plain,
rd(X1,rd(mult(X2,X3),X3)) = rd(X1,X2),
inference(scs_inference,[],[i_0_8,i_0_17,i_0_19,i_0_20]) ).
cnf(i_0_264,plain,
ld(X1,rd(mult(X2,X3),X3)) = ld(X1,X2),
inference(scs_inference,[],[i_0_8,i_0_17,i_0_19,i_0_20,i_0_18]) ).
cnf(i_0_265,plain,
mult(X1,rd(mult(X2,X3),X3)) = mult(X1,X2),
inference(scs_inference,[],[i_0_8,i_0_17,i_0_19,i_0_20,i_0_18,i_0_16]) ).
cnf(i_0_266,plain,
mult(rd(mult(X1,X2),X2),X3) = mult(X1,X3),
inference(scs_inference,[],[i_0_8,i_0_17,i_0_19,i_0_20,i_0_18,i_0_16,i_0_15]) ).
cnf(i_0_269,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_287,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_296,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_314,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_323,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_333,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_342,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_362,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_363,plain,
ld(mult(rd(X1,X2),X2),X3) = ld(X1,X3),
inference(scs_inference,[],[i_0_9,i_0_17]) ).
cnf(i_0_364,plain,
rd(mult(rd(X1,X2),X2),X3) = rd(X1,X3),
inference(scs_inference,[],[i_0_9,i_0_17,i_0_19]) ).
cnf(i_0_365,plain,
rd(X1,mult(rd(X2,X3),X3)) = rd(X1,X2),
inference(scs_inference,[],[i_0_9,i_0_17,i_0_19,i_0_20]) ).
cnf(i_0_366,plain,
ld(X1,mult(rd(X2,X3),X3)) = ld(X1,X2),
inference(scs_inference,[],[i_0_9,i_0_17,i_0_19,i_0_20,i_0_18]) ).
cnf(i_0_367,plain,
mult(X1,mult(rd(X2,X3),X3)) = mult(X1,X2),
inference(scs_inference,[],[i_0_9,i_0_17,i_0_19,i_0_20,i_0_18,i_0_16]) ).
cnf(i_0_368,plain,
mult(mult(rd(X1,X2),X2),X3) = mult(X1,X3),
inference(scs_inference,[],[i_0_9,i_0_17,i_0_19,i_0_20,i_0_18,i_0_16,i_0_15]) ).
cnf(i_0_381,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_399,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_408,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_448,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_467,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_468,plain,
ld(mult(X1,ld(X1,X2)),X3) = ld(X2,X3),
inference(scs_inference,[],[i_0_10,i_0_17]) ).
cnf(i_0_469,plain,
rd(mult(X1,ld(X1,X2)),X3) = rd(X2,X3),
inference(scs_inference,[],[i_0_10,i_0_17,i_0_19]) ).
cnf(i_0_470,plain,
rd(X1,mult(X2,ld(X2,X3))) = rd(X1,X3),
inference(scs_inference,[],[i_0_10,i_0_17,i_0_19,i_0_20]) ).
cnf(i_0_471,plain,
ld(X1,mult(X2,ld(X2,X3))) = ld(X1,X3),
inference(scs_inference,[],[i_0_10,i_0_17,i_0_19,i_0_20,i_0_18]) ).
cnf(i_0_472,plain,
mult(X1,mult(X2,ld(X2,X3))) = mult(X1,X3),
inference(scs_inference,[],[i_0_10,i_0_17,i_0_19,i_0_20,i_0_18,i_0_16]) ).
cnf(i_0_473,plain,
mult(mult(X1,ld(X1,X2)),X3) = mult(X2,X3),
inference(scs_inference,[],[i_0_10,i_0_17,i_0_19,i_0_20,i_0_18,i_0_16,i_0_15]) ).
cnf(i_0_485,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_494,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_513,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_522,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_550,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_560,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_571,plain,
ld(ld(X1,mult(X1,X2)),X3) = ld(X2,X3),
inference(scs_inference,[],[i_0_11,i_0_17]) ).
cnf(i_0_572,plain,
rd(ld(X1,mult(X1,X2)),X3) = rd(X2,X3),
inference(scs_inference,[],[i_0_11,i_0_17,i_0_19]) ).
cnf(i_0_573,plain,
rd(X1,ld(X2,mult(X2,X3))) = rd(X1,X3),
inference(scs_inference,[],[i_0_11,i_0_17,i_0_19,i_0_20]) ).
cnf(i_0_574,plain,
ld(X1,ld(X2,mult(X2,X3))) = ld(X1,X3),
inference(scs_inference,[],[i_0_11,i_0_17,i_0_19,i_0_20,i_0_18]) ).
cnf(i_0_575,plain,
mult(X1,ld(X2,mult(X2,X3))) = mult(X1,X3),
inference(scs_inference,[],[i_0_11,i_0_17,i_0_19,i_0_20,i_0_18,i_0_16]) ).
cnf(i_0_576,plain,
mult(ld(X1,mult(X1,X2)),X3) = mult(X2,X3),
inference(scs_inference,[],[i_0_11,i_0_17,i_0_19,i_0_20,i_0_18,i_0_16,i_0_15]) ).
cnf(i_0_579,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_598,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_607,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_626,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_635,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_664,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_674,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_36,plain,
mult(X1,ld(X2,X2)) != rd(mult(rd(mult(X1,X3),X3),X4),X4),
inference(scs_inference,[],[i_0_22,i_0_8,i_0_14]) ).
cnf(i_0_38,plain,
mult(X1,ld(X2,X2)) != mult(rd(rd(mult(X1,X3),X3),X4),X4),
inference(scs_inference,[],[i_0_22,i_0_9,i_0_14]) ).
cnf(i_0_40,plain,
X1 != rd(rd(mult(X1,X2),X2),ld(X3,X3)),
inference(scs_inference,[],[i_0_22,i_0_9,i_0_14,i_0_15]) ).
cnf(i_0_41,plain,
mult(X1,ld(X2,X2)) != mult(X3,ld(X3,rd(mult(X1,X4),X4))),
inference(scs_inference,[],[i_0_22,i_0_10,i_0_14]) ).
cnf(i_0_43,plain,
ld(X1,X1) != ld(X2,rd(mult(X2,X3),X3)),
inference(scs_inference,[],[i_0_22,i_0_10,i_0_14,i_0_16]) ).
cnf(i_0_44,plain,
mult(X1,ld(X2,X2)) != ld(X3,mult(X3,rd(mult(X1,X4),X4))),
inference(scs_inference,[],[i_0_22,i_0_11,i_0_14]) ).
cnf(i_0_46,plain,
mult(X1,ld(X2,X2)) != rd(mult(mult(rd(X1,X3),X3),X4),X4),
inference(scs_inference,[],[i_0_25,i_0_8,i_0_14]) ).
cnf(i_0_48,plain,
mult(X1,ld(X2,X2)) != mult(rd(mult(rd(X1,X3),X3),X4),X4),
inference(scs_inference,[],[i_0_25,i_0_9,i_0_14]) ).
cnf(i_0_50,plain,
X1 != rd(mult(rd(X1,X2),X2),ld(X3,X3)),
inference(scs_inference,[],[i_0_25,i_0_9,i_0_14,i_0_15]) ).
cnf(i_0_51,plain,
mult(X1,ld(X2,X2)) != mult(X3,ld(X3,mult(rd(X1,X4),X4))),
inference(scs_inference,[],[i_0_25,i_0_10,i_0_14]) ).
cnf(i_0_53,plain,
ld(X1,X1) != ld(X2,mult(rd(X2,X3),X3)),
inference(scs_inference,[],[i_0_25,i_0_10,i_0_14,i_0_16]) ).
cnf(i_0_54,plain,
mult(X1,ld(X2,X2)) != ld(X3,mult(X3,mult(rd(X1,X4),X4))),
inference(scs_inference,[],[i_0_25,i_0_11,i_0_14]) ).
cnf(i_0_56,plain,
X1 != rd(mult(rd(X1,ld(X2,X2)),X3),X3),
inference(scs_inference,[],[i_0_27,i_0_8,i_0_14]) ).
cnf(i_0_58,plain,
X1 != mult(rd(rd(X1,ld(X2,X2)),X3),X3),
inference(scs_inference,[],[i_0_27,i_0_9,i_0_14]) ).
cnf(i_0_60,plain,
X1 != mult(X2,ld(X2,rd(X1,ld(X3,X3)))),
inference(scs_inference,[],[i_0_27,i_0_10,i_0_14]) ).
cnf(i_0_62,plain,
X1 != ld(X2,mult(X2,rd(X1,ld(X3,X3)))),
inference(scs_inference,[],[i_0_27,i_0_11,i_0_14]) ).
cnf(i_0_64,plain,
mult(X1,ld(X2,X2)) != rd(mult(mult(X3,ld(X3,X1)),X4),X4),
inference(scs_inference,[],[i_0_29,i_0_8,i_0_14]) ).
cnf(i_0_66,plain,
mult(X1,ld(X2,X2)) != mult(rd(mult(X3,ld(X3,X1)),X4),X4),
inference(scs_inference,[],[i_0_29,i_0_9,i_0_14]) ).
cnf(i_0_68,plain,
X1 != rd(mult(X2,ld(X2,X1)),ld(X3,X3)),
inference(scs_inference,[],[i_0_29,i_0_9,i_0_14,i_0_15]) ).
cnf(i_0_69,plain,
mult(X1,ld(X2,X2)) != mult(X3,ld(X3,mult(X4,ld(X4,X1)))),
inference(scs_inference,[],[i_0_29,i_0_10,i_0_14]) ).
cnf(i_0_71,plain,
ld(X1,X1) != ld(X2,mult(X3,ld(X3,X2))),
inference(scs_inference,[],[i_0_29,i_0_10,i_0_14,i_0_16]) ).
cnf(i_0_72,plain,
mult(X1,ld(X2,X2)) != ld(X3,mult(X3,mult(X4,ld(X4,X1)))),
inference(scs_inference,[],[i_0_29,i_0_11,i_0_14]) ).
cnf(i_0_74,plain,
ld(X1,X1) != rd(mult(ld(X2,X2),X3),X3),
inference(scs_inference,[],[i_0_31,i_0_8,i_0_14]) ).
cnf(i_0_76,plain,
ld(X1,X1) != mult(rd(ld(X2,X2),X3),X3),
inference(scs_inference,[],[i_0_31,i_0_9,i_0_14]) ).
cnf(i_0_78,plain,
ld(X1,X1) != mult(X2,ld(X2,ld(X3,X3))),
inference(scs_inference,[],[i_0_31,i_0_10,i_0_14]) ).
cnf(i_0_80,plain,
ld(X1,X1) != ld(X2,mult(X2,ld(X3,X3))),
inference(scs_inference,[],[i_0_31,i_0_11,i_0_14]) ).
cnf(i_0_82,plain,
X1 != mult(X1,ld(X2,X2)),
inference(scs_inference,[],[i_0_31,i_0_11,i_0_14,i_0_18]) ).
cnf(i_0_83,plain,
mult(X1,ld(X2,X2)) != rd(mult(ld(X3,mult(X3,X1)),X4),X4),
inference(scs_inference,[],[i_0_33,i_0_8,i_0_14]) ).
cnf(i_0_85,plain,
mult(X1,ld(X2,X2)) != mult(rd(ld(X3,mult(X3,X1)),X4),X4),
inference(scs_inference,[],[i_0_33,i_0_9,i_0_14]) ).
cnf(i_0_87,plain,
X1 != rd(ld(X2,mult(X2,X1)),ld(X3,X3)),
inference(scs_inference,[],[i_0_33,i_0_9,i_0_14,i_0_15]) ).
cnf(i_0_88,plain,
mult(X1,ld(X2,X2)) != mult(X3,ld(X3,ld(X4,mult(X4,X1)))),
inference(scs_inference,[],[i_0_33,i_0_10,i_0_14]) ).
cnf(i_0_90,plain,
ld(X1,X1) != ld(X2,ld(X3,mult(X3,X2))),
inference(scs_inference,[],[i_0_33,i_0_10,i_0_14,i_0_16]) ).
cnf(i_0_91,plain,
mult(X1,ld(X2,X2)) != ld(X3,mult(X3,ld(X4,mult(X4,X1)))),
inference(scs_inference,[],[i_0_33,i_0_11,i_0_14]) ).
cnf(i_0_162,plain,
X1 = rd(mult(X1,X2),X2),
inference(rename_variables,[],[i_0_21]) ).
cnf(i_0_163,plain,
ld(X1,X2) = ld(mult(rd(X1,X3),X3),X2),
inference(scs_inference,[],[i_0_24,i_0_17]) ).
cnf(i_0_164,plain,
rd(X1,X2) = rd(mult(rd(X1,X3),X3),X2),
inference(scs_inference,[],[i_0_24,i_0_17,i_0_19]) ).
cnf(i_0_165,plain,
rd(X1,X2) = rd(X1,mult(rd(X2,X3),X3)),
inference(scs_inference,[],[i_0_24,i_0_17,i_0_19,i_0_20]) ).
cnf(i_0_166,plain,
ld(X1,X2) = ld(X1,mult(rd(X2,X3),X3)),
inference(scs_inference,[],[i_0_24,i_0_17,i_0_19,i_0_20,i_0_18]) ).
cnf(i_0_167,plain,
mult(X1,X2) = mult(X1,mult(rd(X2,X3),X3)),
inference(scs_inference,[],[i_0_24,i_0_17,i_0_19,i_0_20,i_0_18,i_0_16]) ).
cnf(i_0_168,plain,
mult(X1,X2) = mult(mult(rd(X1,X3),X3),X2),
inference(scs_inference,[],[i_0_24,i_0_17,i_0_19,i_0_20,i_0_18,i_0_16,i_0_15]) ).
cnf(i_0_171,plain,
X1 = mult(rd(X1,X2),X2),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_172,plain,
ld(X1,X2) = ld(mult(X3,ld(X3,X1)),X2),
inference(scs_inference,[],[i_0_28,i_0_17]) ).
cnf(i_0_173,plain,
rd(X1,X2) = rd(mult(X3,ld(X3,X1)),X2),
inference(scs_inference,[],[i_0_28,i_0_17,i_0_19]) ).
cnf(i_0_174,plain,
rd(X1,X2) = rd(X1,mult(X3,ld(X3,X2))),
inference(scs_inference,[],[i_0_28,i_0_17,i_0_19,i_0_20]) ).
cnf(i_0_175,plain,
ld(X1,X2) = ld(X1,mult(X3,ld(X3,X2))),
inference(scs_inference,[],[i_0_28,i_0_17,i_0_19,i_0_20,i_0_18]) ).
cnf(i_0_176,plain,
mult(X1,X2) = mult(X1,mult(X3,ld(X3,X2))),
inference(scs_inference,[],[i_0_28,i_0_17,i_0_19,i_0_20,i_0_18,i_0_16]) ).
cnf(i_0_177,plain,
mult(X1,X2) = mult(mult(X3,ld(X3,X1)),X2),
inference(scs_inference,[],[i_0_28,i_0_17,i_0_19,i_0_20,i_0_18,i_0_16,i_0_15]) ).
cnf(i_0_182,plain,
ld(X1,X2) = ld(ld(X3,mult(X3,X1)),X2),
inference(scs_inference,[],[i_0_32,i_0_17]) ).
cnf(i_0_183,plain,
rd(X1,X2) = rd(ld(X3,mult(X3,X1)),X2),
inference(scs_inference,[],[i_0_32,i_0_17,i_0_19]) ).
cnf(i_0_184,plain,
rd(X1,X2) = rd(X1,ld(X3,mult(X3,X2))),
inference(scs_inference,[],[i_0_32,i_0_17,i_0_19,i_0_20]) ).
cnf(i_0_185,plain,
ld(X1,X2) = ld(X1,ld(X3,mult(X3,X2))),
inference(scs_inference,[],[i_0_32,i_0_17,i_0_19,i_0_20,i_0_18]) ).
cnf(i_0_186,plain,
mult(X1,X2) = mult(X1,ld(X3,mult(X3,X2))),
inference(scs_inference,[],[i_0_32,i_0_17,i_0_19,i_0_20,i_0_18,i_0_16]) ).
cnf(i_0_187,plain,
mult(X1,X2) = mult(ld(X3,mult(X3,X1)),X2),
inference(scs_inference,[],[i_0_32,i_0_17,i_0_19,i_0_20,i_0_18,i_0_16,i_0_15]) ).
cnf(i_0_190,plain,
X1 = ld(X2,mult(X2,X1)),
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_270,plain,
ld(ld(rd(mult(X1,X2),X2),X3),X4) = ld(ld(X1,X3),X4),
inference(scs_inference,[],[i_0_261,i_0_17]) ).
cnf(i_0_271,plain,
rd(ld(rd(mult(X1,X2),X2),X3),X4) = rd(ld(X1,X3),X4),
inference(scs_inference,[],[i_0_261,i_0_17,i_0_19]) ).
cnf(i_0_272,plain,
rd(X1,ld(rd(mult(X2,X3),X3),X4)) = rd(X1,ld(X2,X4)),
inference(scs_inference,[],[i_0_261,i_0_17,i_0_19,i_0_20]) ).
cnf(i_0_273,plain,
ld(X1,ld(rd(mult(X2,X3),X3),X4)) = ld(X1,ld(X2,X4)),
inference(scs_inference,[],[i_0_261,i_0_17,i_0_19,i_0_20,i_0_18]) ).
cnf(i_0_274,plain,
mult(X1,ld(rd(mult(X2,X3),X3),X4)) = mult(X1,ld(X2,X4)),
inference(scs_inference,[],[i_0_261,i_0_17,i_0_19,i_0_20,i_0_18,i_0_16]) ).
cnf(i_0_275,plain,
mult(ld(rd(mult(X1,X2),X2),X3),X4) = mult(ld(X1,X3),X4),
inference(scs_inference,[],[i_0_261,i_0_17,i_0_19,i_0_20,i_0_18,i_0_16,i_0_15]) ).
cnf(i_0_279,plain,
ld(rd(rd(mult(X1,X2),X2),X3),X4) = ld(rd(X1,X3),X4),
inference(scs_inference,[],[i_0_262,i_0_17]) ).
cnf(i_0_280,plain,
rd(rd(rd(mult(X1,X2),X2),X3),X4) = rd(rd(X1,X3),X4),
inference(scs_inference,[],[i_0_262,i_0_17,i_0_19]) ).
cnf(i_0_281,plain,
rd(X1,rd(rd(mult(X2,X3),X3),X4)) = rd(X1,rd(X2,X4)),
inference(scs_inference,[],[i_0_262,i_0_17,i_0_19,i_0_20]) ).
cnf(i_0_282,plain,
ld(X1,rd(rd(mult(X2,X3),X3),X4)) = ld(X1,rd(X2,X4)),
inference(scs_inference,[],[i_0_262,i_0_17,i_0_19,i_0_20,i_0_18]) ).
cnf(i_0_283,plain,
mult(X1,rd(rd(mult(X2,X3),X3),X4)) = mult(X1,rd(X2,X4)),
inference(scs_inference,[],[i_0_262,i_0_17,i_0_19,i_0_20,i_0_18,i_0_16]) ).
cnf(i_0_284,plain,
mult(rd(rd(mult(X1,X2),X2),X3),X4) = mult(rd(X1,X3),X4),
inference(scs_inference,[],[i_0_262,i_0_17,i_0_19,i_0_20,i_0_18,i_0_16,i_0_15]) ).
cnf(c_0_33,plain,
ld(X1,X1) != ld(X2,X2),
i_0_31 ).
cnf(c_0_34,plain,
$false,
inference(er,[status(thm)],[c_0_33]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP655-13 : TPTP v9.2.1. Released v8.1.0.
% 0.00/0.11 % 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
% 0.15/0.32 % Computer : n003.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Mon May 4 18:58:41 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 69.55/53.18 % Version : CSE_E---1.7
% 69.55/53.18 % Problem : theBenchmark.p
% 69.55/53.18 % SZS status Unsatisfiable for theBenchmark.p
% 69.55/53.18 % SZS output start CNFRefutation
% See solution above
% 71.02/54.60 % Total time : 52.847s
%------------------------------------------------------------------------------