%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GRP302-1 : TPTP v9.2.1. Released v2.5.0.
% 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 : n020.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 04:25:20 PM UTC 2026
% Result : Unsatisfiable 2.07s 1.98s
% Output : CNFRefutation 2.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 15
% Syntax : Number of clauses : 92 ( 30 unt; 43 nHn; 74 RR)
% Number of literals : 230 ( 229 equ; 102 neg)
% Maximal clause size : 11 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 72 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(left_inverse,axiom,
multiply(inverse(X1),X1) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(left_identity,axiom,
multiply(identity,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(prove_this_14,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c6
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
cnf(prove_this_1,negated_conjecture,
multiply(sk_c8,sk_c7) = sk_c6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(prove_this_20,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
cnf(prove_this_26,negated_conjecture,
( multiply(sk_c8,sk_c7) != sk_c6
| inverse(X1) != sk_c8
| multiply(X1,sk_c7) != sk_c8
| multiply(X2,sk_c8) != sk_c6
| inverse(X2) != sk_c8
| inverse(sk_c8) != sk_c7
| inverse(X3) != sk_c8
| multiply(X3,sk_c7) != sk_c8
| inverse(X4) != X5
| inverse(X5) != sk_c8
| multiply(X4,sk_c8) != X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
cnf(prove_this_4,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(prove_this_3,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
cnf(prove_this_7,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
cnf(prove_this_5,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c5) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
cnf(prove_this_6,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
cnf(prove_this_12,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(prove_this_11,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(prove_this_13,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_0_15,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
associativity ).
cnf(c_0_16,axiom,
multiply(inverse(X1),X1) = identity,
left_inverse ).
cnf(c_0_17,axiom,
multiply(identity,X1) = X1,
left_identity ).
cnf(c_0_18,plain,
multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).
cnf(c_0_19,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c6
| inverse(sk_c8) = sk_c7 ),
prove_this_14 ).
cnf(c_0_20,negated_conjecture,
multiply(sk_c8,sk_c7) = sk_c6,
prove_this_1 ).
cnf(c_0_21,negated_conjecture,
( multiply(inverse(sk_c2),sk_c6) = sk_c8
| inverse(sk_c8) = sk_c7 ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c8) = sk_c7 ),
prove_this_20 ).
cnf(c_0_23,negated_conjecture,
multiply(inverse(sk_c8),sk_c6) = sk_c7,
inference(spm,[status(thm)],[c_0_18,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c8
| inverse(sk_c8) = sk_c7 ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_25,negated_conjecture,
multiply(inverse(inverse(sk_c8)),sk_c7) = sk_c6,
inference(spm,[status(thm)],[c_0_18,c_0_23]) ).
cnf(c_0_26,negated_conjecture,
( inverse(sk_c8) = sk_c7
| identity = sk_c6 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_24]),c_0_16]) ).
cnf(c_0_27,plain,
multiply(inverse(inverse(X1)),identity) = X1,
inference(spm,[status(thm)],[c_0_18,c_0_16]) ).
cnf(c_0_28,negated_conjecture,
identity = sk_c6,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_16])]) ).
cnf(c_0_29,plain,
multiply(inverse(inverse(X1)),sk_c6) = X1,
inference(rw,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_30,plain,
multiply(inverse(inverse(X1)),X2) = multiply(X1,X2),
inference(spm,[status(thm)],[c_0_18,c_0_18]) ).
cnf(c_0_31,negated_conjecture,
( multiply(sk_c8,sk_c7) != sk_c6
| inverse(X1) != sk_c8
| multiply(X1,sk_c7) != sk_c8
| multiply(X2,sk_c8) != sk_c6
| inverse(X2) != sk_c8
| inverse(sk_c8) != sk_c7
| inverse(X3) != sk_c8
| multiply(X3,sk_c7) != sk_c8
| inverse(X4) != X5
| inverse(X5) != sk_c8
| multiply(X4,sk_c8) != X5 ),
prove_this_26 ).
cnf(c_0_32,plain,
multiply(X1,sk_c6) = X1,
inference(rw,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_33,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c3,sk_c7) = sk_c8 ),
prove_this_4 ).
cnf(c_0_34,negated_conjecture,
( inverse(multiply(X1,sk_c8)) != sk_c8
| multiply(X1,sk_c8) != inverse(X1)
| multiply(X2,sk_c7) != sk_c8
| multiply(X3,sk_c8) != sk_c6
| multiply(X4,sk_c7) != sk_c8
| inverse(sk_c8) != sk_c7
| inverse(X2) != sk_c8
| inverse(X3) != sk_c8
| inverse(X4) != sk_c8 ),
inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_20])])]) ).
cnf(c_0_35,negated_conjecture,
inverse(sk_c8) = sk_c7,
inference(rw,[status(thm)],[c_0_23,c_0_32]) ).
cnf(c_0_36,negated_conjecture,
( multiply(inverse(sk_c3),sk_c8) = sk_c7
| inverse(sk_c1) = sk_c8 ),
inference(spm,[status(thm)],[c_0_18,c_0_33]) ).
cnf(c_0_37,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c3) = sk_c8 ),
prove_this_3 ).
cnf(c_0_38,plain,
multiply(inverse(X1),X1) = sk_c6,
inference(rw,[status(thm)],[c_0_16,c_0_28]) ).
cnf(c_0_39,negated_conjecture,
( inverse(multiply(X1,sk_c8)) != sk_c8
| multiply(X1,sk_c8) != inverse(X1)
| multiply(X2,sk_c7) != sk_c8
| multiply(X3,sk_c8) != sk_c6
| multiply(X4,sk_c7) != sk_c8
| inverse(X2) != sk_c8
| inverse(X3) != sk_c8
| inverse(X4) != sk_c8 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_35])]) ).
cnf(c_0_40,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c4 ),
prove_this_7 ).
cnf(c_0_41,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c5) = sk_c4 ),
prove_this_5 ).
cnf(c_0_42,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c4) = sk_c8 ),
prove_this_6 ).
cnf(c_0_43,negated_conjecture,
( multiply(sk_c8,sk_c8) = sk_c7
| inverse(sk_c1) = sk_c8 ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_44,negated_conjecture,
multiply(sk_c7,sk_c8) = sk_c6,
inference(spm,[status(thm)],[c_0_38,c_0_35]) ).
cnf(c_0_45,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(X1,sk_c7) != sk_c8
| multiply(X2,sk_c8) != sk_c6
| multiply(X3,sk_c7) != sk_c8
| inverse(X1) != sk_c8
| inverse(X2) != sk_c8
| inverse(X3) != sk_c8 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]),c_0_42]) ).
cnf(c_0_46,negated_conjecture,
( multiply(sk_c7,sk_c7) = sk_c8
| inverse(sk_c1) = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_43]),c_0_35]) ).
cnf(c_0_47,negated_conjecture,
inverse(sk_c7) = sk_c8,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_44]),c_0_32]) ).
cnf(c_0_48,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(X1,sk_c8) != sk_c6
| multiply(X2,sk_c7) != sk_c8
| inverse(X1) != sk_c8
| inverse(X2) != sk_c8 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47])]) ).
cnf(c_0_49,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c8 ),
prove_this_12 ).
cnf(c_0_50,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(X1,sk_c7) != sk_c8
| inverse(X1) != sk_c8 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_44]),c_0_47])]) ).
cnf(c_0_51,negated_conjecture,
( multiply(sk_c1,multiply(sk_c7,X1)) = multiply(sk_c8,X1)
| inverse(sk_c4) = sk_c8 ),
inference(spm,[status(thm)],[c_0_15,c_0_49]) ).
cnf(c_0_52,negated_conjecture,
( multiply(inverse(sk_c1),sk_c8) = sk_c7
| inverse(sk_c4) = sk_c8 ),
inference(spm,[status(thm)],[c_0_18,c_0_49]) ).
cnf(c_0_53,plain,
inverse(inverse(X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_32]),c_0_32]) ).
cnf(c_0_54,negated_conjecture,
inverse(sk_c1) = sk_c8,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_46]),c_0_47])]) ).
cnf(c_0_55,negated_conjecture,
( multiply(inverse(sk_c1),multiply(sk_c8,X1)) = multiply(sk_c7,X1)
| inverse(sk_c4) = sk_c8 ),
inference(spm,[status(thm)],[c_0_18,c_0_51]) ).
cnf(c_0_56,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(X1,sk_c7) != sk_c8
| multiply(X2,sk_c8) != sk_c6
| multiply(X3,sk_c7) != sk_c8
| inverse(X1) != sk_c8
| inverse(X2) != sk_c8
| inverse(X3) != sk_c8
| sk_c1 != sk_c7 ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_52]),c_0_47])]),c_0_53]) ).
cnf(c_0_57,negated_conjecture,
sk_c1 = sk_c7,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_35]) ).
cnf(c_0_58,negated_conjecture,
( multiply(sk_c7,sk_c7) = inverse(sk_c1)
| inverse(sk_c4) = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_20]),c_0_32]) ).
cnf(c_0_59,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(X1,sk_c7) != sk_c8
| multiply(X2,sk_c8) != sk_c6
| multiply(X3,sk_c7) != sk_c8
| inverse(X1) != sk_c8
| inverse(X2) != sk_c8
| inverse(X3) != sk_c8 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_57])]) ).
cnf(c_0_60,negated_conjecture,
( multiply(sk_c7,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c8 ),
inference(rw,[status(thm)],[c_0_58,c_0_54]) ).
cnf(c_0_61,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c4 ),
prove_this_11 ).
cnf(c_0_62,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(X1,sk_c8) != sk_c6
| multiply(X2,sk_c7) != sk_c8
| inverse(X1) != sk_c8
| inverse(X2) != sk_c8 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_47])]) ).
cnf(c_0_63,negated_conjecture,
( multiply(sk_c1,multiply(sk_c7,X1)) = multiply(sk_c8,X1)
| inverse(sk_c5) = sk_c4 ),
inference(spm,[status(thm)],[c_0_15,c_0_61]) ).
cnf(c_0_64,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(X1,sk_c7) != sk_c8
| inverse(X1) != sk_c8 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_44]),c_0_47])]) ).
cnf(c_0_65,negated_conjecture,
( multiply(inverse(sk_c1),multiply(sk_c8,X1)) = multiply(sk_c7,X1)
| inverse(sk_c5) = sk_c4 ),
inference(spm,[status(thm)],[c_0_18,c_0_63]) ).
cnf(c_0_66,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c4 ),
prove_this_13 ).
cnf(c_0_67,negated_conjecture,
( multiply(inverse(sk_c1),sk_c8) = sk_c7
| inverse(sk_c5) = sk_c4 ),
inference(spm,[status(thm)],[c_0_18,c_0_61]) ).
cnf(c_0_68,negated_conjecture,
inverse(sk_c4) = sk_c8,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_60]),c_0_47])]) ).
cnf(c_0_69,negated_conjecture,
( multiply(sk_c7,sk_c7) = inverse(sk_c1)
| inverse(sk_c5) = sk_c4 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_20]),c_0_32]) ).
cnf(c_0_70,negated_conjecture,
( multiply(sk_c5,multiply(sk_c8,X1)) = multiply(sk_c4,X1)
| multiply(sk_c1,sk_c7) = sk_c8 ),
inference(spm,[status(thm)],[c_0_15,c_0_66]) ).
cnf(c_0_71,negated_conjecture,
( inverse(sk_c5) = sk_c4
| multiply(X1,sk_c7) != sk_c8
| multiply(X2,sk_c8) != sk_c6
| multiply(X3,sk_c7) != sk_c8
| inverse(X1) != sk_c8
| inverse(X2) != sk_c8
| inverse(X3) != sk_c8
| sk_c1 != sk_c7 ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_67]),c_0_47])]),c_0_53]) ).
cnf(c_0_72,negated_conjecture,
sk_c4 = sk_c7,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_68]),c_0_35]) ).
cnf(c_0_73,negated_conjecture,
( multiply(sk_c7,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c4 ),
inference(rw,[status(thm)],[c_0_69,c_0_54]) ).
cnf(c_0_74,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c5 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_20]),c_0_32]) ).
cnf(c_0_75,negated_conjecture,
( inverse(sk_c5) = sk_c7
| multiply(X1,sk_c7) != sk_c8
| multiply(X2,sk_c8) != sk_c6
| multiply(X3,sk_c7) != sk_c8
| inverse(X1) != sk_c8
| inverse(X2) != sk_c8
| inverse(X3) != sk_c8 ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_57])]),c_0_72]) ).
cnf(c_0_76,negated_conjecture,
( multiply(sk_c7,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c7 ),
inference(rw,[status(thm)],[c_0_73,c_0_72]) ).
cnf(c_0_77,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c5
| multiply(sk_c7,sk_c7) = sk_c8 ),
inference(rw,[status(thm)],[c_0_74,c_0_57]) ).
cnf(c_0_78,negated_conjecture,
( inverse(sk_c5) = sk_c7
| multiply(X1,sk_c8) != sk_c6
| multiply(X2,sk_c7) != sk_c8
| inverse(X1) != sk_c8
| inverse(X2) != sk_c8 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_47])]) ).
cnf(c_0_79,negated_conjecture,
( multiply(sk_c7,sk_c7) = sk_c8
| multiply(sk_c7,sk_c7) = sk_c5 ),
inference(rw,[status(thm)],[c_0_77,c_0_72]) ).
cnf(c_0_80,negated_conjecture,
( inverse(sk_c5) = sk_c7
| multiply(X1,sk_c7) != sk_c8
| inverse(X1) != sk_c8 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_44]),c_0_47])]) ).
cnf(c_0_81,negated_conjecture,
( multiply(sk_c7,sk_c7) = sk_c8
| multiply(sk_c8,sk_c5) = sk_c7 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_79]),c_0_47]) ).
cnf(c_0_82,negated_conjecture,
inverse(sk_c5) = sk_c7,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_76]),c_0_47])]) ).
cnf(c_0_83,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| multiply(sk_c8,sk_c8) = sk_c7 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_81]),c_0_47]) ).
cnf(c_0_84,negated_conjecture,
sk_c5 = sk_c8,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_82]),c_0_47]) ).
cnf(c_0_85,negated_conjecture,
multiply(sk_c8,sk_c8) = sk_c7,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_84])]) ).
cnf(c_0_86,negated_conjecture,
( multiply(sk_c7,sk_c7) = sk_c8
| sk_c5 != sk_c8 ),
inference(ef,[status(thm)],[c_0_79]) ).
cnf(c_0_87,negated_conjecture,
( multiply(X1,sk_c7) != sk_c8
| multiply(X2,sk_c8) != sk_c6
| multiply(X3,sk_c7) != sk_c8
| inverse(X1) != sk_c8
| inverse(X2) != sk_c8
| inverse(X3) != sk_c8 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_85]),c_0_47]),c_0_35])]) ).
cnf(c_0_88,negated_conjecture,
multiply(sk_c7,sk_c7) = sk_c8,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_84])]) ).
cnf(c_0_89,negated_conjecture,
( multiply(X1,sk_c8) != sk_c6
| multiply(X2,sk_c7) != sk_c8
| inverse(X1) != sk_c8
| inverse(X2) != sk_c8 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_47])]) ).
cnf(c_0_90,negated_conjecture,
( multiply(X1,sk_c7) != sk_c8
| inverse(X1) != sk_c8 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_44]),c_0_47])]) ).
cnf(c_0_91,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_88]),c_0_47])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP302-1 : TPTP v9.2.1. Released v2.5.0.
% 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
% 0.16/0.33 % Computer : n020.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 18:31:50 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 2.07/1.98 % Version : CSE_E---1.7
% 2.07/1.98 % Problem : theBenchmark.p
% 2.07/1.98 % SZS status Unsatisfiable for theBenchmark.p
% 2.07/1.98 % SZS output start CNFRefutation
% See solution above
% 2.07/1.99 % Total time : 1.371s
%------------------------------------------------------------------------------