%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GRP654-11 : 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 : n012.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 04:26:44 PM UTC 2026
% Result : Unsatisfiable 67.69s 51.68s
% Output : CNFRefutation 68.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of clauses : 209 ( 201 unt; 0 nHn; 45 RR)
% Number of literals : 218 ( 217 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 : 555 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(f05,axiom,
mult(X1,mult(X2,mult(X1,X3))) = mult(mult(mult(X1,X2),X1),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
cnf(goal,negated_conjecture,
mult(x0,rd(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(X1,X3))) = mult(mult(mult(X1,X2),X1),X3),
f05,
[final] ).
cnf(i_0_7,negated_conjecture,
mult(x0,rd(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
| rd(X1,X3) = rd(X2,X3) ) ).
cnf(i_0_18,axiom,
( X1 != X2
| rd(X3,X1) = rd(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,plain,
X1 = rd(mult(X1,X2),X2),
inference(scs_inference,[],[i_0_8,i_0_13]) ).
cnf(i_0_22,plain,
mult(X1,rd(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,rd(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,rd(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,rd(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,
rd(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,rd(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),X1),X3) = mult(X1,mult(X2,mult(X1,X3))),
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_78,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_80,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_82,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_134,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_137,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_140,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_143,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_146,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_148,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_150,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_152,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_155,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_157,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_159,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_160,plain,
rd(X1,mult(X2,mult(X3,mult(X2,X4)))) = rd(X1,mult(mult(mult(X2,X3),X2),X4)),
inference(scs_inference,[],[i_0_6,i_0_18]) ).
cnf(i_0_161,plain,
ld(mult(X1,mult(X2,mult(X1,X3))),X4) = ld(mult(mult(mult(X1,X2),X1),X3),X4),
inference(scs_inference,[],[i_0_6,i_0_18,i_0_19]) ).
cnf(i_0_162,plain,
ld(X1,mult(X2,mult(X3,mult(X2,X4)))) = ld(X1,mult(mult(mult(X2,X3),X2),X4)),
inference(scs_inference,[],[i_0_6,i_0_18,i_0_19,i_0_20]) ).
cnf(i_0_163,plain,
rd(mult(X1,mult(X2,mult(X1,X3))),X4) = rd(mult(mult(mult(X1,X2),X1),X3),X4),
inference(scs_inference,[],[i_0_6,i_0_18,i_0_19,i_0_20,i_0_17]) ).
cnf(i_0_164,plain,
mult(X1,mult(X2,mult(X3,mult(X2,X4)))) = mult(X1,mult(mult(mult(X2,X3),X2),X4)),
inference(scs_inference,[],[i_0_6,i_0_18,i_0_19,i_0_20,i_0_17,i_0_16]) ).
cnf(i_0_165,plain,
mult(mult(X1,mult(X2,mult(X1,X3))),X4) = mult(mult(mult(mult(X1,X2),X1),X3),X4),
inference(scs_inference,[],[i_0_6,i_0_18,i_0_19,i_0_20,i_0_17,i_0_16,i_0_15]) ).
cnf(i_0_214,plain,
mult(X1,mult(X2,mult(X1,X3))) = mult(mult(mult(X1,X2),X1),X3),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_233,plain,
mult(X1,mult(X2,mult(X1,X3))) = mult(mult(mult(X1,X2),X1),X3),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_246,plain,
mult(X1,mult(X2,mult(X1,X3))) = mult(mult(mult(X1,X2),X1),X3),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_255,plain,
rd(X1,rd(mult(X2,X3),X3)) = rd(X1,X2),
inference(scs_inference,[],[i_0_8,i_0_18]) ).
cnf(i_0_256,plain,
ld(rd(mult(X1,X2),X2),X3) = ld(X1,X3),
inference(scs_inference,[],[i_0_8,i_0_18,i_0_19]) ).
cnf(i_0_257,plain,
ld(X1,rd(mult(X2,X3),X3)) = ld(X1,X2),
inference(scs_inference,[],[i_0_8,i_0_18,i_0_19,i_0_20]) ).
cnf(i_0_258,plain,
rd(rd(mult(X1,X2),X2),X3) = rd(X1,X3),
inference(scs_inference,[],[i_0_8,i_0_18,i_0_19,i_0_20,i_0_17]) ).
cnf(i_0_259,plain,
mult(X1,rd(mult(X2,X3),X3)) = mult(X1,X2),
inference(scs_inference,[],[i_0_8,i_0_18,i_0_19,i_0_20,i_0_17,i_0_16]) ).
cnf(i_0_260,plain,
mult(rd(mult(X1,X2),X2),X3) = mult(X1,X3),
inference(scs_inference,[],[i_0_8,i_0_18,i_0_19,i_0_20,i_0_17,i_0_16,i_0_15]) ).
cnf(i_0_263,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_378,plain,
mult(X1,mult(X2,ld(X2,X3))) = mult(X1,X3),
inference(scs_inference,[],[i_0_10,i_0_16]) ).
cnf(i_0_381,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_387,plain,
mult(mult(X1,ld(X1,X2)),X3) = mult(X2,X3),
inference(scs_inference,[],[i_0_10,i_0_15]) ).
cnf(i_0_390,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_425,plain,
mult(X1,ld(X1,X2)) = X2,
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_453,plain,
mult(ld(X1,mult(X1,X2)),X3) = mult(X2,X3),
inference(scs_inference,[],[i_0_11,i_0_15]) ).
cnf(i_0_496,plain,
ld(X1,mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_36,plain,
mult(X1,rd(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,rd(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),rd(X3,X3)),
inference(scs_inference,[],[i_0_22,i_0_9,i_0_14,i_0_15]) ).
cnf(i_0_41,plain,
mult(X1,rd(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,
rd(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,rd(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,rd(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,rd(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),rd(X3,X3)),
inference(scs_inference,[],[i_0_25,i_0_9,i_0_14,i_0_15]) ).
cnf(i_0_51,plain,
mult(X1,rd(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,
rd(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,rd(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,rd(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,rd(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,rd(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,rd(X3,X3)))),
inference(scs_inference,[],[i_0_27,i_0_11,i_0_14]) ).
cnf(i_0_64,plain,
mult(X1,rd(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,rd(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)),rd(X3,X3)),
inference(scs_inference,[],[i_0_29,i_0_9,i_0_14,i_0_15]) ).
cnf(i_0_69,plain,
mult(X1,rd(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,
rd(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,rd(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,
rd(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,
X1 != mult(ld(X2,X2),X1),
inference(scs_inference,[],[i_0_31,i_0_8,i_0_14,i_0_17]) ).
cnf(i_0_77,plain,
rd(X1,X1) != mult(rd(ld(X2,X2),X3),X3),
inference(scs_inference,[],[i_0_31,i_0_9,i_0_14]) ).
cnf(i_0_79,plain,
rd(X1,X1) != mult(X2,ld(X2,ld(X3,X3))),
inference(scs_inference,[],[i_0_31,i_0_10,i_0_14]) ).
cnf(i_0_81,plain,
rd(X1,X1) != ld(X2,mult(X2,ld(X3,X3))),
inference(scs_inference,[],[i_0_31,i_0_11,i_0_14]) ).
cnf(i_0_83,plain,
mult(X1,rd(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,rd(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)),rd(X3,X3)),
inference(scs_inference,[],[i_0_33,i_0_9,i_0_14,i_0_15]) ).
cnf(i_0_88,plain,
mult(X1,rd(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,
rd(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,rd(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_133,plain,
mult(rd(mult(mult(mult(X1,X2),X1),X3),X4),X4) = mult(X1,mult(X2,mult(X1,X3))),
inference(scs_inference,[],[i_0_9,i_0_35,i_0_14]) ).
cnf(i_0_135,plain,
mult(X1,mult(X2,mult(X1,X3))) = mult(rd(mult(mult(mult(X1,X2),X1),X3),X4),X4),
inference(scs_inference,[],[i_0_9,i_0_35,i_0_14,i_0_13]) ).
cnf(i_0_136,plain,
mult(X1,ld(X1,mult(mult(mult(X2,X3),X2),X4))) = mult(X2,mult(X3,mult(X2,X4))),
inference(scs_inference,[],[i_0_10,i_0_35,i_0_14]) ).
cnf(i_0_138,plain,
mult(X1,mult(X2,mult(X1,X3))) = mult(X4,ld(X4,mult(mult(mult(X1,X2),X1),X3))),
inference(scs_inference,[],[i_0_10,i_0_35,i_0_14,i_0_13]) ).
cnf(i_0_139,plain,
ld(X1,mult(X1,mult(mult(mult(X2,X3),X2),X4))) = mult(X2,mult(X3,mult(X2,X4))),
inference(scs_inference,[],[i_0_11,i_0_35,i_0_14]) ).
cnf(i_0_141,plain,
mult(X1,mult(X2,mult(X1,X3))) = ld(X4,mult(X4,mult(mult(mult(X1,X2),X1),X3))),
inference(scs_inference,[],[i_0_11,i_0_35,i_0_14,i_0_13]) ).
cnf(i_0_168,plain,
X1 = rd(mult(X1,X2),X2),
inference(rename_variables,[],[i_0_21]) ).
cnf(i_0_169,plain,
rd(X1,X2) = rd(X1,mult(rd(X2,X3),X3)),
inference(scs_inference,[],[i_0_24,i_0_18]) ).
cnf(i_0_170,plain,
ld(X1,X2) = ld(mult(rd(X1,X3),X3),X2),
inference(scs_inference,[],[i_0_24,i_0_18,i_0_19]) ).
cnf(i_0_171,plain,
ld(X1,X2) = ld(X1,mult(rd(X2,X3),X3)),
inference(scs_inference,[],[i_0_24,i_0_18,i_0_19,i_0_20]) ).
cnf(i_0_172,plain,
rd(X1,X2) = rd(mult(rd(X1,X3),X3),X2),
inference(scs_inference,[],[i_0_24,i_0_18,i_0_19,i_0_20,i_0_17]) ).
cnf(i_0_173,plain,
mult(X1,X2) = mult(X1,mult(rd(X2,X3),X3)),
inference(scs_inference,[],[i_0_24,i_0_18,i_0_19,i_0_20,i_0_17,i_0_16]) ).
cnf(i_0_174,plain,
mult(X1,X2) = mult(mult(rd(X1,X3),X3),X2),
inference(scs_inference,[],[i_0_24,i_0_18,i_0_19,i_0_20,i_0_17,i_0_16,i_0_15]) ).
cnf(i_0_177,plain,
X1 = mult(rd(X1,X2),X2),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_178,plain,
rd(X1,X2) = rd(X1,mult(X3,ld(X3,X2))),
inference(scs_inference,[],[i_0_28,i_0_18]) ).
cnf(i_0_179,plain,
ld(X1,X2) = ld(mult(X3,ld(X3,X1)),X2),
inference(scs_inference,[],[i_0_28,i_0_18,i_0_19]) ).
cnf(i_0_180,plain,
ld(X1,X2) = ld(X1,mult(X3,ld(X3,X2))),
inference(scs_inference,[],[i_0_28,i_0_18,i_0_19,i_0_20]) ).
cnf(i_0_181,plain,
rd(X1,X2) = rd(mult(X3,ld(X3,X1)),X2),
inference(scs_inference,[],[i_0_28,i_0_18,i_0_19,i_0_20,i_0_17]) ).
cnf(i_0_182,plain,
mult(X1,X2) = mult(X1,mult(X3,ld(X3,X2))),
inference(scs_inference,[],[i_0_28,i_0_18,i_0_19,i_0_20,i_0_17,i_0_16]) ).
cnf(i_0_183,plain,
mult(X1,X2) = mult(mult(X3,ld(X3,X1)),X2),
inference(scs_inference,[],[i_0_28,i_0_18,i_0_19,i_0_20,i_0_17,i_0_16,i_0_15]) ).
cnf(i_0_186,plain,
X1 = mult(X2,ld(X2,X1)),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_187,plain,
rd(X1,X2) = rd(X1,ld(X3,mult(X3,X2))),
inference(scs_inference,[],[i_0_32,i_0_18]) ).
cnf(i_0_188,plain,
ld(X1,X2) = ld(ld(X3,mult(X3,X1)),X2),
inference(scs_inference,[],[i_0_32,i_0_18,i_0_19]) ).
cnf(i_0_189,plain,
ld(X1,X2) = ld(X1,ld(X3,mult(X3,X2))),
inference(scs_inference,[],[i_0_32,i_0_18,i_0_19,i_0_20]) ).
cnf(i_0_190,plain,
rd(X1,X2) = rd(ld(X3,mult(X3,X1)),X2),
inference(scs_inference,[],[i_0_32,i_0_18,i_0_19,i_0_20,i_0_17]) ).
cnf(i_0_191,plain,
mult(X1,X2) = mult(X1,ld(X3,mult(X3,X2))),
inference(scs_inference,[],[i_0_32,i_0_18,i_0_19,i_0_20,i_0_17,i_0_16]) ).
cnf(i_0_192,plain,
mult(X1,X2) = mult(ld(X3,mult(X3,X1)),X2),
inference(scs_inference,[],[i_0_32,i_0_18,i_0_19,i_0_20,i_0_17,i_0_16,i_0_15]) ).
cnf(i_0_195,plain,
X1 = ld(X2,mult(X2,X1)),
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_270,plain,
rd(rd(X1,rd(mult(X2,X3),X3)),X4) = rd(rd(X1,X2),X4),
inference(scs_inference,[],[i_0_255,i_0_17]) ).
cnf(i_0_271,plain,
mult(rd(X1,rd(mult(X2,X3),X3)),X4) = mult(rd(X1,X2),X4),
inference(scs_inference,[],[i_0_255,i_0_17,i_0_15]) ).
cnf(i_0_274,plain,
rd(X1,rd(mult(X2,X3),X3)) = rd(X1,X2),
inference(rename_variables,[],[i_0_255]) ).
cnf(i_0_281,plain,
mult(X1,ld(rd(mult(X2,X3),X3),X4)) = mult(X1,ld(X2,X4)),
inference(scs_inference,[],[i_0_256,i_0_16]) ).
cnf(i_0_282,plain,
rd(ld(rd(mult(X1,X2),X2),X3),X4) = rd(ld(X1,X3),X4),
inference(scs_inference,[],[i_0_256,i_0_16,i_0_17]) ).
cnf(i_0_285,plain,
ld(rd(mult(X1,X2),X2),X3) = ld(X1,X3),
inference(rename_variables,[],[i_0_256]) ).
cnf(i_0_293,plain,
mult(ld(X1,rd(mult(X2,X3),X3)),X4) = mult(ld(X1,X2),X4),
inference(scs_inference,[],[i_0_257,i_0_15]) ).
cnf(i_0_296,plain,
ld(X1,rd(mult(X2,X3),X3)) = ld(X1,X2),
inference(rename_variables,[],[i_0_257]) ).
cnf(i_0_301,plain,
mult(X1,rd(mult(X2,X3),X3)) = mult(X1,X2),
inference(rename_variables,[],[i_0_259]) ).
cnf(i_0_304,plain,
rd(rd(mult(X1,X2),X2),X3) = rd(X1,X3),
inference(rename_variables,[],[i_0_258]) ).
cnf(i_0_315,plain,
mult(rd(mult(X1,X2),X2),X3) = mult(X1,X3),
inference(rename_variables,[],[i_0_260]) ).
cnf(i_0_321,plain,
X1 = rd(mult(X1,X2),X2),
inference(rename_variables,[],[i_0_21]) ).
cnf(i_0_331,plain,
X1 = rd(mult(X1,X2),X2),
inference(rename_variables,[],[i_0_21]) ).
cnf(i_0_401,plain,
mult(X1,mult(X2,ld(X2,X3))) = mult(X1,X3),
inference(rename_variables,[],[i_0_378]) ).
cnf(i_0_409,plain,
mult(mult(mult(X1,ld(X1,X2)),X3),X4) = mult(mult(X2,X3),X4),
inference(scs_inference,[],[i_0_387,i_0_15]) ).
cnf(i_0_412,plain,
mult(mult(X1,ld(X1,X2)),X3) = mult(X2,X3),
inference(rename_variables,[],[i_0_387]) ).
cnf(i_0_467,plain,
mult(ld(X1,mult(X1,X2)),X3) = mult(X2,X3),
inference(rename_variables,[],[i_0_453]) ).
cnf(i_0_507,plain,
X1 = rd(mult(X1,X2),X2),
inference(rename_variables,[],[i_0_21]) ).
cnf(i_0_515,plain,
X1 = rd(mult(X1,X2),X2),
inference(rename_variables,[],[i_0_21]) ).
cnf(c_0_39,plain,
X1 = rd(mult(X1,X2),X2),
i_0_21 ).
cnf(c_0_40,axiom,
mult(X1,mult(X2,mult(X1,X3))) = mult(mult(mult(X1,X2),X1),X3),
i_0_6 ).
cnf(c_0_41,plain,
rd(mult(X1,mult(X2,mult(X1,X3))),X3) = mult(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_42,plain,
X1 = mult(rd(X1,X2),X2),
i_0_24 ).
cnf(c_0_43,plain,
mult(mult(X1,rd(X2,mult(X1,X3))),X1) = rd(mult(X1,X2),X3),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_44,plain,
X1 = ld(X2,mult(X2,X1)),
i_0_32 ).
cnf(c_0_45,plain,
rd(rd(mult(X1,X2),X3),X1) = mult(X1,rd(X2,mult(X1,X3))),
inference(spm,[status(thm)],[c_0_39,c_0_43]) ).
cnf(c_0_46,plain,
ld(mult(mult(X1,X2),X1),mult(X1,mult(X2,mult(X1,X3)))) = X3,
inference(spm,[status(thm)],[c_0_44,c_0_40]) ).
cnf(c_0_47,plain,
mult(X1,rd(X2,mult(X1,X2))) = rd(X1,X1),
inference(spm,[status(thm)],[c_0_45,c_0_39]) ).
cnf(c_0_48,plain,
mult(rd(X1,mult(X2,X1)),mult(X2,X3)) = X3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_42]),c_0_44]) ).
cnf(c_0_49,plain,
X1 = mult(X2,ld(X2,X1)),
i_0_28 ).
cnf(c_0_50,plain,
mult(rd(X1,mult(X2,X1)),X3) = ld(X2,X3),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_51,plain,
rd(X1,ld(X2,X1)) = X2,
inference(spm,[status(thm)],[c_0_39,c_0_49]) ).
cnf(c_0_52,plain,
rd(X1,X1) != ld(X2,X2),
i_0_31 ).
cnf(c_0_53,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_50]),c_0_50]),c_0_51]),c_0_52]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : GRP654-11 : TPTP v9.2.1. Released v8.1.0.
% 0.00/0.06 % 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
% 0.06/0.24 % Computer : n012.cluster.edu
% 0.06/0.24 % Model : x86_64 x86_64
% 0.06/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.24 % Memory : 8042.1875MB
% 0.06/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.24 % CPULimit : 300
% 0.06/0.24 % WCLimit : 300
% 0.06/0.24 % DateTime : Mon May 4 18:57:45 EDT 2026
% 0.06/0.24 % CPUTime :
% 0.06/0.25 % start to proof: theBenchmark
% 67.69/51.68 % Version : CSE_E---1.7
% 67.69/51.68 % Problem : theBenchmark.p
% 67.69/51.68 % SZS status Unsatisfiable for theBenchmark.p
% 67.69/51.68 % SZS output start CNFRefutation
% See solution above
% 68.99/53.01 % Total time : 51.426s
%------------------------------------------------------------------------------