%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GRP267-1 : 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 : n009.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 04:25:06 PM UTC 2026
% Result : Unsatisfiable 1.42s 1.78s
% Output : CNFRefutation 1.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 14
% Syntax : Number of clauses : 93 ( 26 unt; 46 nHn; 79 RR)
% Number of literals : 264 ( 263 equ; 133 neg)
% Maximal clause size : 10 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 81 ( 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_1,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(prove_this_4,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(prove_this_2,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
cnf(prove_this_5,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
cnf(prove_this_22,negated_conjecture,
( multiply(X1,sk_c8) != sk_c7
| inverse(X1) != sk_c8
| multiply(X2,sk_c6) != sk_c7
| inverse(X2) != sk_c6
| multiply(sk_c7,X3) != sk_c6
| multiply(X4,sk_c7) != X3
| inverse(X4) != sk_c7
| multiply(X5,sk_c8) != sk_c7
| inverse(X5) != sk_c8
| inverse(sk_c6) != sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
cnf(prove_this_15,negated_conjecture,
( multiply(sk_c7,sk_c4) = sk_c6
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
cnf(prove_this_13,negated_conjecture,
( multiply(sk_c7,sk_c4) = sk_c6
| multiply(sk_c5,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
cnf(prove_this_14,negated_conjecture,
( multiply(sk_c7,sk_c4) = sk_c6
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
cnf(prove_this_18,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c4
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
cnf(prove_this_6,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
cnf(prove_this_21,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_0_14,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
associativity ).
cnf(c_0_15,axiom,
multiply(inverse(X1),X1) = identity,
left_inverse ).
cnf(c_0_16,axiom,
multiply(identity,X1) = X1,
left_identity ).
cnf(c_0_17,plain,
multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).
cnf(c_0_18,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c7 ),
prove_this_1 ).
cnf(c_0_19,negated_conjecture,
( multiply(inverse(sk_c1),sk_c7) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c7 ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_20,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c7 ),
prove_this_4 ).
cnf(c_0_21,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| multiply(sk_c8,sk_c7) = sk_c8 ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_22,negated_conjecture,
( multiply(inverse(sk_c5),sk_c7) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c8 ),
inference(spm,[status(thm)],[c_0_17,c_0_21]) ).
cnf(c_0_23,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c5) = sk_c8 ),
prove_this_2 ).
cnf(c_0_24,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c8,sk_c7) = sk_c8 ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_25,negated_conjecture,
( multiply(inverse(sk_c1),sk_c7) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c8 ),
inference(spm,[status(thm)],[c_0_17,c_0_24]) ).
cnf(c_0_26,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c5) = sk_c8 ),
prove_this_5 ).
cnf(c_0_27,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c8 ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_28,negated_conjecture,
multiply(sk_c8,sk_c7) = sk_c8,
inference(spm,[status(thm)],[c_0_22,c_0_27]) ).
cnf(c_0_29,negated_conjecture,
( multiply(X1,sk_c8) != sk_c7
| inverse(X1) != sk_c8
| multiply(X2,sk_c6) != sk_c7
| inverse(X2) != sk_c6
| multiply(sk_c7,X3) != sk_c6
| multiply(X4,sk_c7) != X3
| inverse(X4) != sk_c7
| multiply(X5,sk_c8) != sk_c7
| inverse(X5) != sk_c8
| inverse(sk_c6) != sk_c7 ),
prove_this_22 ).
cnf(c_0_30,negated_conjecture,
identity = sk_c7,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_28]),c_0_15]) ).
cnf(c_0_31,negated_conjecture,
( multiply(sk_c7,multiply(X1,sk_c7)) != sk_c6
| multiply(X2,sk_c8) != sk_c7
| multiply(X3,sk_c6) != sk_c7
| multiply(X4,sk_c8) != sk_c7
| inverse(sk_c6) != sk_c7
| inverse(X2) != sk_c8
| inverse(X1) != sk_c7
| inverse(X3) != sk_c6
| inverse(X4) != sk_c8 ),
inference(er,[status(thm)],[c_0_29]) ).
cnf(c_0_32,negated_conjecture,
( multiply(sk_c7,sk_c4) = sk_c6
| inverse(sk_c6) = sk_c7 ),
prove_this_15 ).
cnf(c_0_33,plain,
multiply(sk_c7,X1) = X1,
inference(rw,[status(thm)],[c_0_16,c_0_30]) ).
cnf(c_0_34,negated_conjecture,
( multiply(sk_c7,sk_c4) = sk_c6
| multiply(sk_c7,multiply(X1,sk_c7)) != sk_c6
| multiply(X2,sk_c8) != sk_c7
| multiply(X3,sk_c6) != sk_c7
| multiply(X4,sk_c8) != sk_c7
| inverse(X2) != sk_c8
| inverse(X1) != sk_c7
| inverse(X3) != sk_c6
| inverse(X4) != sk_c8 ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_35,negated_conjecture,
( inverse(sk_c6) = sk_c7
| sk_c4 = sk_c6 ),
inference(rw,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_36,negated_conjecture,
( multiply(sk_c7,sk_c4) = sk_c6
| multiply(sk_c7,sk_c6) = identity ),
inference(spm,[status(thm)],[c_0_15,c_0_32]) ).
cnf(c_0_37,negated_conjecture,
( sk_c4 = sk_c6
| multiply(X1,sk_c7) != sk_c6
| multiply(X2,sk_c8) != sk_c7
| multiply(X3,sk_c6) != sk_c7
| multiply(X4,sk_c8) != sk_c7
| inverse(X2) != sk_c8
| inverse(X1) != sk_c7
| inverse(X3) != sk_c6
| inverse(X4) != sk_c8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_33]),c_0_33]) ).
cnf(c_0_38,negated_conjecture,
( multiply(sk_c6,X1) = X1
| sk_c4 = sk_c6 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_35]),c_0_33]) ).
cnf(c_0_39,negated_conjecture,
( sk_c6 = sk_c7
| sk_c4 = sk_c6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_30]),c_0_33]),c_0_33]) ).
cnf(c_0_40,negated_conjecture,
( multiply(sk_c7,sk_c4) = sk_c6
| multiply(sk_c5,sk_c8) = sk_c7 ),
prove_this_13 ).
cnf(c_0_41,negated_conjecture,
( multiply(sk_c7,sk_c4) = sk_c6
| inverse(sk_c5) = sk_c8 ),
prove_this_14 ).
cnf(c_0_42,negated_conjecture,
( sk_c4 = sk_c6
| multiply(X1,sk_c8) != sk_c7
| multiply(X2,sk_c6) != sk_c7
| multiply(X3,sk_c8) != sk_c7
| inverse(X1) != sk_c8
| inverse(X2) != sk_c6
| inverse(X3) != sk_c8 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]),c_0_35]) ).
cnf(c_0_43,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| sk_c4 = sk_c6 ),
inference(rw,[status(thm)],[c_0_40,c_0_33]) ).
cnf(c_0_44,negated_conjecture,
( inverse(sk_c5) = sk_c8
| sk_c4 = sk_c6 ),
inference(rw,[status(thm)],[c_0_41,c_0_33]) ).
cnf(c_0_45,negated_conjecture,
( sk_c4 = sk_c6
| multiply(X1,sk_c6) != sk_c7
| multiply(X2,sk_c8) != sk_c7
| inverse(X1) != sk_c6
| inverse(X2) != sk_c8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]) ).
cnf(c_0_46,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c4
| inverse(sk_c6) = sk_c7 ),
prove_this_18 ).
cnf(c_0_47,negated_conjecture,
( sk_c4 = sk_c6
| multiply(X1,sk_c8) != sk_c7
| inverse(sk_c6) != sk_c6
| inverse(X1) != sk_c8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_38]),c_0_39]) ).
cnf(c_0_48,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c4
| multiply(sk_c7,sk_c6) = identity ),
inference(spm,[status(thm)],[c_0_15,c_0_46]) ).
cnf(c_0_49,negated_conjecture,
( sk_c4 = sk_c6
| multiply(X1,sk_c8) != sk_c7
| inverse(X1) != sk_c8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_35]),c_0_39]) ).
cnf(c_0_50,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c6) = sk_c7 ),
prove_this_6 ).
cnf(c_0_51,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c4
| sk_c6 = sk_c7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_30]),c_0_33]) ).
cnf(c_0_52,negated_conjecture,
sk_c4 = sk_c6,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_44]),c_0_43]) ).
cnf(c_0_53,negated_conjecture,
( multiply(sk_c8,sk_c1) = identity
| inverse(sk_c6) = sk_c7 ),
inference(spm,[status(thm)],[c_0_15,c_0_50]) ).
cnf(c_0_54,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c6
| sk_c6 = sk_c7 ),
inference(rw,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_55,negated_conjecture,
( multiply(sk_c8,sk_c1) = identity
| multiply(sk_c7,multiply(X1,sk_c7)) != sk_c6
| multiply(X2,sk_c8) != sk_c7
| multiply(X3,sk_c6) != sk_c7
| multiply(X4,sk_c8) != sk_c7
| inverse(X2) != sk_c8
| inverse(X1) != sk_c7
| inverse(X3) != sk_c6
| inverse(X4) != sk_c8 ),
inference(spm,[status(thm)],[c_0_31,c_0_53]) ).
cnf(c_0_56,negated_conjecture,
( multiply(sk_c3,X1) = multiply(sk_c6,X1)
| sk_c6 = sk_c7 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_54]),c_0_33]) ).
cnf(c_0_57,negated_conjecture,
( multiply(inverse(sk_c3),sk_c4) = sk_c7
| sk_c6 = sk_c7 ),
inference(spm,[status(thm)],[c_0_17,c_0_51]) ).
cnf(c_0_58,negated_conjecture,
( multiply(sk_c8,sk_c1) = identity
| multiply(sk_c7,sk_c7) != sk_c6
| multiply(X1,sk_c8) != sk_c7
| multiply(X2,sk_c6) != sk_c7
| multiply(X3,sk_c8) != sk_c7
| inverse(identity) != sk_c7
| inverse(X1) != sk_c8
| inverse(X2) != sk_c6
| inverse(X3) != sk_c8 ),
inference(spm,[status(thm)],[c_0_55,c_0_16]) ).
cnf(c_0_59,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c6
| sk_c6 = sk_c7 ),
inference(spm,[status(thm)],[c_0_54,c_0_56]) ).
cnf(c_0_60,negated_conjecture,
( multiply(inverse(sk_c3),sk_c6) = sk_c7
| sk_c6 = sk_c7 ),
inference(spm,[status(thm)],[c_0_57,c_0_39]) ).
cnf(c_0_61,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c6) = sk_c7 ),
prove_this_21 ).
cnf(c_0_62,plain,
multiply(inverse(sk_c7),X1) = X1,
inference(spm,[status(thm)],[c_0_17,c_0_33]) ).
cnf(c_0_63,negated_conjecture,
( multiply(sk_c8,sk_c1) = sk_c7
| multiply(sk_c7,sk_c7) != sk_c6
| multiply(X1,sk_c8) != sk_c7
| multiply(X2,sk_c6) != sk_c7
| multiply(X3,sk_c8) != sk_c7
| inverse(sk_c7) != sk_c7
| inverse(X1) != sk_c8
| inverse(X2) != sk_c6
| inverse(X3) != sk_c8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_30]),c_0_30]) ).
cnf(c_0_64,negated_conjecture,
( multiply(inverse(sk_c6),sk_c6) = sk_c7
| sk_c6 = sk_c7 ),
inference(spm,[status(thm)],[c_0_17,c_0_59]) ).
cnf(c_0_65,negated_conjecture,
( inverse(sk_c6) = sk_c7
| sk_c6 = sk_c7 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_33])]) ).
cnf(c_0_66,plain,
multiply(inverse(X1),X1) = sk_c7,
inference(rw,[status(thm)],[c_0_15,c_0_30]) ).
cnf(c_0_67,plain,
multiply(inverse(inverse(sk_c7)),X1) = X1,
inference(spm,[status(thm)],[c_0_17,c_0_62]) ).
cnf(c_0_68,negated_conjecture,
( multiply(sk_c8,sk_c1) = sk_c7
| multiply(X1,sk_c8) != sk_c7
| multiply(X2,sk_c6) != sk_c7
| multiply(X3,sk_c8) != sk_c7
| inverse(sk_c7) != sk_c7
| inverse(X1) != sk_c8
| inverse(X2) != sk_c6
| inverse(X3) != sk_c8
| sk_c6 != sk_c7 ),
inference(rw,[status(thm)],[c_0_63,c_0_33]) ).
cnf(c_0_69,negated_conjecture,
sk_c6 = sk_c7,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_33])]) ).
cnf(c_0_70,plain,
inverse(sk_c7) = sk_c7,
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_71,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| multiply(sk_c8,sk_c1) = identity ),
inference(spm,[status(thm)],[c_0_15,c_0_20]) ).
cnf(c_0_72,negated_conjecture,
( multiply(sk_c8,sk_c1) = identity
| inverse(sk_c5) = sk_c8 ),
inference(spm,[status(thm)],[c_0_15,c_0_26]) ).
cnf(c_0_73,negated_conjecture,
( multiply(sk_c8,sk_c1) = sk_c7
| multiply(X1,sk_c8) != sk_c7
| multiply(X2,sk_c7) != sk_c7
| multiply(X3,sk_c8) != sk_c7
| inverse(X1) != sk_c8
| inverse(X2) != sk_c7
| inverse(X3) != sk_c8 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_69]),c_0_69]),c_0_69])]),c_0_70])]) ).
cnf(c_0_74,negated_conjecture,
( multiply(sk_c8,sk_c1) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c7 ),
inference(rw,[status(thm)],[c_0_71,c_0_30]) ).
cnf(c_0_75,negated_conjecture,
( multiply(sk_c8,sk_c1) = sk_c7
| inverse(sk_c5) = sk_c8 ),
inference(rw,[status(thm)],[c_0_72,c_0_30]) ).
cnf(c_0_76,negated_conjecture,
( multiply(sk_c8,sk_c1) = sk_c7
| multiply(X1,sk_c7) != sk_c7
| multiply(X2,sk_c8) != sk_c7
| inverse(X1) != sk_c7
| inverse(X2) != sk_c8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75]) ).
cnf(c_0_77,negated_conjecture,
( multiply(sk_c8,sk_c1) = sk_c7
| multiply(X1,sk_c8) != sk_c7
| inverse(X1) != sk_c8 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_33]),c_0_70])]) ).
cnf(c_0_78,negated_conjecture,
multiply(sk_c8,sk_c1) = sk_c7,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_75]),c_0_74]) ).
cnf(c_0_79,negated_conjecture,
multiply(inverse(sk_c8),sk_c7) = sk_c1,
inference(spm,[status(thm)],[c_0_17,c_0_78]) ).
cnf(c_0_80,negated_conjecture,
multiply(inverse(inverse(sk_c8)),sk_c1) = sk_c7,
inference(spm,[status(thm)],[c_0_17,c_0_79]) ).
cnf(c_0_81,plain,
multiply(inverse(inverse(X1)),sk_c7) = X1,
inference(spm,[status(thm)],[c_0_17,c_0_66]) ).
cnf(c_0_82,negated_conjecture,
inverse(sk_c8) = sk_c1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_80]),c_0_81]) ).
cnf(c_0_83,negated_conjecture,
( multiply(X1,sk_c7) != sk_c6
| multiply(X2,sk_c8) != sk_c7
| multiply(X3,sk_c6) != sk_c7
| multiply(X4,sk_c8) != sk_c7
| inverse(sk_c6) != sk_c7
| inverse(X2) != sk_c8
| inverse(X1) != sk_c7
| inverse(X3) != sk_c6
| inverse(X4) != sk_c8 ),
inference(rw,[status(thm)],[c_0_31,c_0_33]) ).
cnf(c_0_84,negated_conjecture,
multiply(inverse(sk_c1),sk_c7) = sk_c8,
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_85,negated_conjecture,
( multiply(X1,sk_c7) != sk_c7
| multiply(X2,sk_c8) != sk_c7
| multiply(X3,sk_c7) != sk_c7
| multiply(X4,sk_c8) != sk_c7
| inverse(X2) != sk_c8
| inverse(X1) != sk_c7
| inverse(X3) != sk_c7
| inverse(X4) != sk_c8 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_69]),c_0_69]),c_0_69]),c_0_69]),c_0_70])]) ).
cnf(c_0_86,negated_conjecture,
multiply(inverse(inverse(sk_c1)),sk_c8) = sk_c7,
inference(spm,[status(thm)],[c_0_17,c_0_84]) ).
cnf(c_0_87,negated_conjecture,
( multiply(X1,sk_c8) != sk_c7
| multiply(X2,sk_c7) != sk_c7
| multiply(X3,sk_c8) != sk_c7
| inverse(X1) != sk_c8
| inverse(X2) != sk_c7
| inverse(X3) != sk_c8 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_33]),c_0_70])]) ).
cnf(c_0_88,negated_conjecture,
multiply(sk_c1,sk_c8) = sk_c7,
inference(spm,[status(thm)],[c_0_66,c_0_82]) ).
cnf(c_0_89,negated_conjecture,
inverse(sk_c1) = sk_c8,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_86]),c_0_81]) ).
cnf(c_0_90,negated_conjecture,
( multiply(X1,sk_c7) != sk_c7
| multiply(X2,sk_c8) != sk_c7
| inverse(X1) != sk_c7
| inverse(X2) != sk_c8 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89])]) ).
cnf(c_0_91,negated_conjecture,
( multiply(X1,sk_c8) != sk_c7
| inverse(X1) != sk_c8 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_33]),c_0_70])]) ).
cnf(c_0_92,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_89]),c_0_88])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : GRP267-1 : TPTP v9.2.1. Released v2.5.0.
% 0.13/0.13 % 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
% 0.18/0.34 % Computer : n009.cluster.edu
% 0.18/0.34 % Model : x86_64 x86_64
% 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34 % Memory : 8042.1875MB
% 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34 % CPULimit : 300
% 0.18/0.34 % WCLimit : 300
% 0.18/0.34 % DateTime : Mon May 4 18:30:56 EDT 2026
% 0.18/0.34 % CPUTime :
% 0.18/0.36 % start to proof: theBenchmark
% 1.42/1.78 % Version : CSE_E---1.7
% 1.42/1.78 % Problem : theBenchmark.p
% 1.42/1.78 % SZS status Unsatisfiable for theBenchmark.p
% 1.42/1.78 % SZS output start CNFRefutation
% See solution above
% 1.42/1.78 % Total time : 1.374s
%------------------------------------------------------------------------------