%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GRP355-1 : TPTP v9.2.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n011.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 04:25:41 PM UTC 2026
% Result : Unsatisfiable 1.47s 1.73s
% Output : CNFRefutation 1.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 14
% Syntax : Number of clauses : 86 ( 25 unt; 38 nHn; 73 RR)
% Number of literals : 262 ( 261 equ; 146 neg)
% Maximal clause size : 10 ( 3 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 : 89 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(left_inverse,axiom,
multiply(inverse(X1),X1) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(left_identity,axiom,
multiply(identity,X1) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(prove_this_8,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c2,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
cnf(prove_this_9,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
cnf(prove_this_15,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c2,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
cnf(prove_this_16,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
cnf(prove_this_22,negated_conjecture,
( multiply(sk_c7,sk_c6) != sk_c8
| multiply(X1,sk_c8) != sk_c7
| inverse(X1) != sk_c8
| multiply(X2,sk_c8) != sk_c7
| inverse(X2) != sk_c8
| multiply(X3,sk_c6) != sk_c7
| inverse(X3) != sk_c6
| multiply(sk_c8,X4) != sk_c6
| multiply(X5,sk_c8) != X4
| inverse(X5) != sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
cnf(prove_this_7,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
cnf(prove_this_14,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
cnf(prove_this_21,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
cnf(prove_this_6,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c8
| multiply(sk_c4,sk_c8) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
cnf(prove_this_5,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c8
| multiply(sk_c8,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
cnf(prove_this_2,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
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_c2,sk_c8) = sk_c7 ),
prove_this_8 ).
cnf(c_0_19,negated_conjecture,
( multiply(inverse(sk_c2),sk_c7) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c7 ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_20,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c2) = sk_c8 ),
prove_this_9 ).
cnf(c_0_21,negated_conjecture,
( multiply(sk_c1,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_c1),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,
( inverse(sk_c1) = sk_c8
| multiply(sk_c2,sk_c8) = sk_c7 ),
prove_this_15 ).
cnf(c_0_24,negated_conjecture,
( multiply(sk_c2,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_c2),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_c2) = sk_c8 ),
prove_this_16 ).
cnf(c_0_27,negated_conjecture,
( multiply(sk_c7,sk_c6) != sk_c8
| multiply(X1,sk_c8) != sk_c7
| inverse(X1) != sk_c8
| multiply(X2,sk_c8) != sk_c7
| inverse(X2) != sk_c8
| multiply(X3,sk_c6) != sk_c7
| inverse(X3) != sk_c6
| multiply(sk_c8,X4) != sk_c6
| multiply(X5,sk_c8) != X4
| inverse(X5) != sk_c8 ),
prove_this_22 ).
cnf(c_0_28,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c8
| inverse(sk_c4) = sk_c8 ),
prove_this_7 ).
cnf(c_0_29,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c8
| inverse(sk_c1) = sk_c8 ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,negated_conjecture,
( multiply(sk_c8,multiply(X1,sk_c8)) != sk_c6
| multiply(sk_c7,sk_c6) != sk_c8
| multiply(X2,sk_c6) != sk_c7
| multiply(X3,sk_c8) != sk_c7
| multiply(X4,sk_c8) != sk_c7
| inverse(X1) != sk_c8
| inverse(X2) != sk_c6
| inverse(X3) != sk_c8
| inverse(X4) != sk_c8 ),
inference(er,[status(thm)],[c_0_27]) ).
cnf(c_0_31,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c8
| multiply(sk_c8,sk_c4) = identity ),
inference(spm,[status(thm)],[c_0_15,c_0_28]) ).
cnf(c_0_32,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c4) = sk_c8 ),
prove_this_14 ).
cnf(c_0_33,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c4) = sk_c8 ),
prove_this_21 ).
cnf(c_0_34,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c8
| multiply(sk_c4,sk_c8) = sk_c5 ),
prove_this_6 ).
cnf(c_0_35,negated_conjecture,
multiply(sk_c8,sk_c7) = sk_c8,
inference(spm,[status(thm)],[c_0_22,c_0_29]) ).
cnf(c_0_36,negated_conjecture,
( multiply(sk_c8,sk_c4) = identity
| multiply(sk_c8,multiply(X1,sk_c8)) != sk_c6
| multiply(X2,sk_c6) != sk_c7
| multiply(X3,sk_c8) != sk_c7
| multiply(X4,sk_c8) != sk_c7
| inverse(X1) != sk_c8
| inverse(X2) != sk_c6
| inverse(X3) != sk_c8
| inverse(X4) != sk_c8 ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_37,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c8,sk_c4) = identity ),
inference(spm,[status(thm)],[c_0_15,c_0_32]) ).
cnf(c_0_38,negated_conjecture,
( multiply(sk_c8,sk_c4) = identity
| inverse(sk_c1) = sk_c8 ),
inference(spm,[status(thm)],[c_0_15,c_0_33]) ).
cnf(c_0_39,negated_conjecture,
( multiply(inverse(sk_c4),sk_c5) = sk_c8
| multiply(sk_c7,sk_c6) = sk_c8 ),
inference(spm,[status(thm)],[c_0_17,c_0_34]) ).
cnf(c_0_40,negated_conjecture,
identity = sk_c7,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_35]),c_0_15]) ).
cnf(c_0_41,negated_conjecture,
( multiply(sk_c8,sk_c4) = identity
| multiply(sk_c8,sk_c7) != sk_c6
| multiply(X1,sk_c6) != sk_c7
| multiply(X2,sk_c8) != sk_c7
| multiply(X3,sk_c8) != sk_c7
| inverse(X1) != sk_c6
| inverse(X2) != sk_c8
| inverse(X3) != sk_c8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).
cnf(c_0_42,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c8
| multiply(sk_c8,sk_c5) = sk_c8 ),
inference(spm,[status(thm)],[c_0_39,c_0_28]) ).
cnf(c_0_43,plain,
multiply(sk_c7,X1) = X1,
inference(rw,[status(thm)],[c_0_16,c_0_40]) ).
cnf(c_0_44,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c8
| multiply(sk_c8,sk_c5) = sk_c6 ),
prove_this_5 ).
cnf(c_0_45,negated_conjecture,
( multiply(sk_c8,sk_c4) = identity
| multiply(X1,sk_c6) != sk_c7
| multiply(X2,sk_c8) != sk_c7
| multiply(X3,sk_c8) != sk_c7
| inverse(X1) != sk_c6
| inverse(X2) != sk_c8
| inverse(X3) != sk_c8
| sk_c6 != sk_c8 ),
inference(rw,[status(thm)],[c_0_41,c_0_35]) ).
cnf(c_0_46,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c8
| sk_c6 = sk_c8 ),
inference(rw,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_47,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c6
| sk_c6 = sk_c8 ),
inference(rw,[status(thm)],[c_0_44,c_0_43]) ).
cnf(c_0_48,plain,
multiply(inverse(X1),X1) = sk_c7,
inference(rw,[status(thm)],[c_0_15,c_0_40]) ).
cnf(c_0_49,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c8
| inverse(sk_c2) = sk_c8 ),
prove_this_2 ).
cnf(c_0_50,negated_conjecture,
( multiply(sk_c8,sk_c4) = sk_c7
| multiply(X1,sk_c6) != sk_c7
| multiply(X2,sk_c8) != sk_c7
| multiply(X3,sk_c8) != sk_c7
| inverse(X1) != sk_c6
| inverse(X2) != sk_c8
| inverse(X3) != sk_c8
| sk_c6 != sk_c8 ),
inference(rw,[status(thm)],[c_0_45,c_0_40]) ).
cnf(c_0_51,negated_conjecture,
sk_c6 = sk_c8,
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_52,plain,
multiply(inverse(inverse(X1)),sk_c7) = X1,
inference(spm,[status(thm)],[c_0_17,c_0_48]) ).
cnf(c_0_53,plain,
multiply(inverse(inverse(X1)),X2) = multiply(X1,X2),
inference(spm,[status(thm)],[c_0_17,c_0_17]) ).
cnf(c_0_54,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c8
| multiply(sk_c8,sk_c2) = identity ),
inference(spm,[status(thm)],[c_0_15,c_0_49]) ).
cnf(c_0_55,negated_conjecture,
( multiply(sk_c8,sk_c4) = sk_c7
| multiply(X1,sk_c8) != sk_c7
| multiply(X2,sk_c8) != sk_c7
| multiply(X3,sk_c8) != sk_c7
| 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(rw,[status(thm)],[c_0_50,c_0_51]),c_0_51]),c_0_51])]) ).
cnf(c_0_56,plain,
multiply(X1,sk_c7) = X1,
inference(rw,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_57,negated_conjecture,
( multiply(sk_c8,sk_c2) = identity
| multiply(sk_c8,multiply(X1,sk_c8)) != sk_c6
| multiply(X2,sk_c6) != sk_c7
| multiply(X3,sk_c8) != sk_c7
| multiply(X4,sk_c8) != sk_c7
| inverse(X1) != sk_c8
| inverse(X2) != sk_c6
| inverse(X3) != sk_c8
| inverse(X4) != sk_c8 ),
inference(spm,[status(thm)],[c_0_30,c_0_54]) ).
cnf(c_0_58,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c8,sk_c2) = identity ),
inference(spm,[status(thm)],[c_0_15,c_0_20]) ).
cnf(c_0_59,negated_conjecture,
( multiply(sk_c8,sk_c2) = identity
| inverse(sk_c1) = sk_c8 ),
inference(spm,[status(thm)],[c_0_15,c_0_26]) ).
cnf(c_0_60,negated_conjecture,
( multiply(sk_c8,sk_c4) = sk_c7
| multiply(X1,multiply(X2,sk_c8)) != sk_c7
| inverse(multiply(X1,X2)) != sk_c8
| multiply(X3,sk_c8) != sk_c7
| multiply(X4,sk_c8) != sk_c7
| inverse(X3) != sk_c8
| inverse(X4) != sk_c8 ),
inference(spm,[status(thm)],[c_0_55,c_0_14]) ).
cnf(c_0_61,plain,
inverse(inverse(X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_56]),c_0_56]) ).
cnf(c_0_62,negated_conjecture,
( multiply(sk_c8,sk_c2) = identity
| multiply(sk_c8,sk_c7) != sk_c6
| multiply(X1,sk_c6) != sk_c7
| multiply(X2,sk_c8) != sk_c7
| multiply(X3,sk_c8) != sk_c7
| inverse(X1) != sk_c6
| inverse(X2) != sk_c8
| inverse(X3) != sk_c8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]) ).
cnf(c_0_63,negated_conjecture,
( multiply(sk_c8,sk_c4) = sk_c7
| multiply(X1,sk_c8) != sk_c7
| multiply(X2,sk_c8) != sk_c7
| inverse(X1) != sk_c8
| inverse(X2) != sk_c8 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_48]),c_0_56])]),c_0_43]),c_0_61])]) ).
cnf(c_0_64,negated_conjecture,
( multiply(sk_c8,sk_c2) = identity
| multiply(X1,sk_c6) != sk_c7
| multiply(X2,sk_c8) != sk_c7
| multiply(X3,sk_c8) != sk_c7
| inverse(X1) != sk_c6
| inverse(X2) != sk_c8
| inverse(X3) != sk_c8
| sk_c6 != sk_c8 ),
inference(rw,[status(thm)],[c_0_62,c_0_35]) ).
cnf(c_0_65,negated_conjecture,
( multiply(sk_c8,sk_c4) = 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_63,c_0_48]),c_0_61])]) ).
cnf(c_0_66,negated_conjecture,
( multiply(sk_c8,sk_c2) = sk_c7
| multiply(X1,sk_c6) != sk_c7
| multiply(X2,sk_c8) != sk_c7
| multiply(X3,sk_c8) != sk_c7
| inverse(X1) != sk_c6
| inverse(X2) != sk_c8
| inverse(X3) != sk_c8
| sk_c6 != sk_c8 ),
inference(rw,[status(thm)],[c_0_64,c_0_40]) ).
cnf(c_0_67,negated_conjecture,
multiply(sk_c8,sk_c4) = sk_c7,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_61])]),c_0_15]),c_0_40])]) ).
cnf(c_0_68,negated_conjecture,
( multiply(sk_c8,sk_c2) = sk_c7
| multiply(X1,sk_c8) != sk_c7
| multiply(X2,sk_c8) != sk_c7
| multiply(X3,sk_c8) != sk_c7
| 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(rw,[status(thm)],[c_0_66,c_0_51]),c_0_51]),c_0_51])]) ).
cnf(c_0_69,negated_conjecture,
( multiply(sk_c8,sk_c2) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c7 ),
inference(rw,[status(thm)],[c_0_58,c_0_40]) ).
cnf(c_0_70,negated_conjecture,
( multiply(sk_c8,sk_c2) = sk_c7
| inverse(sk_c1) = sk_c8 ),
inference(rw,[status(thm)],[c_0_59,c_0_40]) ).
cnf(c_0_71,negated_conjecture,
inverse(sk_c8) = sk_c4,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_67]),c_0_56]) ).
cnf(c_0_72,negated_conjecture,
( multiply(sk_c8,sk_c2) = sk_c7
| multiply(X1,sk_c8) != sk_c7
| multiply(X2,sk_c8) != sk_c7
| inverse(X1) != sk_c8
| inverse(X2) != sk_c8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]) ).
cnf(c_0_73,negated_conjecture,
multiply(sk_c4,sk_c8) = sk_c7,
inference(spm,[status(thm)],[c_0_48,c_0_71]) ).
cnf(c_0_74,negated_conjecture,
inverse(sk_c4) = sk_c8,
inference(spm,[status(thm)],[c_0_61,c_0_71]) ).
cnf(c_0_75,negated_conjecture,
( multiply(sk_c8,sk_c2) = 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_72,c_0_73]),c_0_74])]) ).
cnf(c_0_76,negated_conjecture,
( multiply(sk_c8,multiply(X1,sk_c8)) != sk_c6
| multiply(X2,sk_c6) != sk_c7
| multiply(X3,sk_c8) != sk_c7
| multiply(X4,sk_c8) != sk_c7
| inverse(X1) != sk_c8
| inverse(X2) != sk_c6
| inverse(X3) != sk_c8
| inverse(X4) != sk_c8
| sk_c6 != sk_c8 ),
inference(rw,[status(thm)],[c_0_30,c_0_43]) ).
cnf(c_0_77,negated_conjecture,
multiply(sk_c8,sk_c2) = sk_c7,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_74]),c_0_73])]) ).
cnf(c_0_78,negated_conjecture,
( multiply(sk_c8,multiply(X1,sk_c8)) != sk_c8
| multiply(X2,sk_c8) != sk_c7
| multiply(X3,sk_c8) != sk_c7
| multiply(X4,sk_c8) != sk_c7
| inverse(X1) != sk_c8
| inverse(X2) != sk_c8
| inverse(X3) != sk_c8
| inverse(X4) != sk_c8 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_51]),c_0_51]),c_0_51]),c_0_51])]) ).
cnf(c_0_79,negated_conjecture,
sk_c4 = sk_c2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_77]),c_0_56]),c_0_71]) ).
cnf(c_0_80,negated_conjecture,
( multiply(X1,sk_c8) != sk_c7
| multiply(X2,sk_c8) != sk_c7
| multiply(X3,sk_c8) != sk_c7
| inverse(X1) != sk_c8
| inverse(X2) != sk_c8
| inverse(X3) != sk_c8 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_48]),c_0_35])]),c_0_61])]) ).
cnf(c_0_81,negated_conjecture,
multiply(sk_c2,sk_c8) = sk_c7,
inference(rw,[status(thm)],[c_0_73,c_0_79]) ).
cnf(c_0_82,negated_conjecture,
inverse(sk_c2) = sk_c8,
inference(rw,[status(thm)],[c_0_74,c_0_79]) ).
cnf(c_0_83,negated_conjecture,
( multiply(X1,sk_c8) != sk_c7
| multiply(X2,sk_c8) != sk_c7
| inverse(X1) != sk_c8
| inverse(X2) != sk_c8 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82])]) ).
cnf(c_0_84,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_83,c_0_81]),c_0_82])]) ).
cnf(c_0_85,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_82]),c_0_81])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP355-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.09 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.10/0.28 % Computer : n011.cluster.edu
% 0.10/0.28 % Model : x86_64 x86_64
% 0.10/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.28 % Memory : 8042.1875MB
% 0.10/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.28 % CPULimit : 300
% 0.10/0.28 % WCLimit : 300
% 0.10/0.28 % DateTime : Mon May 4 18:40:32 EDT 2026
% 0.10/0.28 % CPUTime :
% 0.10/0.29 % start to proof: theBenchmark
% 1.47/1.73 % Version : CSE_E---1.7
% 1.47/1.73 % Problem : theBenchmark.p
% 1.47/1.73 % SZS status Unsatisfiable for theBenchmark.p
% 1.47/1.73 % SZS output start CNFRefutation
% See solution above
% 1.47/1.74 % Total time : 1.366s
%------------------------------------------------------------------------------