%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GRP224-1 : 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 : n013.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 04:24:51 PM UTC 2026
% Result : Unsatisfiable 6.28s 4.54s
% Output : CNFRefutation 6.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 18
% Syntax : Number of clauses : 88 ( 18 unt; 61 nHn; 75 RR)
% Number of literals : 238 ( 237 equ; 96 neg)
% Maximal clause size : 15 ( 2 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 76 ( 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_15,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| multiply(sk_c6,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
cnf(prove_this_14,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| inverse(sk_c6) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
cnf(prove_this_5,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c6,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
cnf(prove_this_26,negated_conjecture,
( multiply(sk_c11,sk_c3) = sk_c10
| multiply(sk_c7,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
cnf(prove_this_31,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c3
| multiply(sk_c4,sk_c5) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
cnf(prove_this_4,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c6) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
cnf(prove_this_27,negated_conjecture,
( multiply(sk_c11,sk_c3) = sk_c10
| inverse(sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
cnf(prove_this_21,negated_conjecture,
( multiply(sk_c11,sk_c3) = sk_c10
| multiply(sk_c4,sk_c5) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
cnf(prove_this_32,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c3
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
cnf(prove_this_22,negated_conjecture,
( multiply(sk_c11,sk_c3) = sk_c10
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
cnf(prove_this_41,negated_conjecture,
( inverse(sk_c2) = sk_c11
| multiply(sk_c4,sk_c5) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
cnf(prove_this_46,negated_conjecture,
( inverse(sk_c2) = sk_c11
| multiply(sk_c7,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).
cnf(prove_this_42,negated_conjecture,
( inverse(sk_c2) = sk_c11
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
cnf(prove_this_47,negated_conjecture,
( inverse(sk_c2) = sk_c11
| inverse(sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_47) ).
cnf(prove_this_51,negated_conjecture,
( inverse(X1) != sk_c11
| multiply(X1,sk_c10) != sk_c11
| multiply(sk_c11,X2) != sk_c10
| multiply(X3,sk_c11) != X2
| inverse(X3) != sk_c11
| multiply(X4,X5) != sk_c11
| inverse(X4) != X5
| multiply(X5,sk_c10) != sk_c11
| inverse(X6) != sk_c11
| multiply(X6,sk_c10) != sk_c11
| multiply(X7,X8) != sk_c10
| inverse(X7) != X8
| multiply(X8,sk_c11) != sk_c10
| inverse(X9) != sk_c10
| multiply(X9,sk_c11) != sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_51) ).
cnf(c_0_18,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
associativity ).
cnf(c_0_19,axiom,
multiply(inverse(X1),X1) = identity,
left_inverse ).
cnf(c_0_20,axiom,
multiply(identity,X1) = X1,
left_identity ).
cnf(c_0_21,plain,
multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).
cnf(c_0_22,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| multiply(sk_c6,sk_c10) = sk_c11 ),
prove_this_15 ).
cnf(c_0_23,negated_conjecture,
( multiply(inverse(sk_c6),sk_c11) = sk_c10
| multiply(sk_c1,sk_c10) = sk_c11 ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_24,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| inverse(sk_c6) = sk_c11 ),
prove_this_14 ).
cnf(c_0_25,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| multiply(sk_c11,sk_c11) = sk_c10 ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_26,negated_conjecture,
( multiply(inverse(sk_c1),sk_c11) = sk_c10
| multiply(sk_c11,sk_c11) = sk_c10 ),
inference(spm,[status(thm)],[c_0_21,c_0_25]) ).
cnf(c_0_27,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c6,sk_c10) = sk_c11 ),
prove_this_5 ).
cnf(c_0_28,negated_conjecture,
( multiply(sk_c6,sk_c10) = sk_c11
| multiply(sk_c11,sk_c11) = sk_c10 ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_29,negated_conjecture,
( multiply(sk_c11,sk_c3) = sk_c10
| multiply(sk_c7,sk_c8) = sk_c10 ),
prove_this_26 ).
cnf(c_0_30,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c3
| multiply(sk_c4,sk_c5) = sk_c11 ),
prove_this_31 ).
cnf(c_0_31,negated_conjecture,
( multiply(inverse(sk_c6),sk_c11) = sk_c10
| multiply(sk_c11,sk_c11) = sk_c10 ),
inference(spm,[status(thm)],[c_0_21,c_0_28]) ).
cnf(c_0_32,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c6) = sk_c11 ),
prove_this_4 ).
cnf(c_0_33,negated_conjecture,
( multiply(inverse(sk_c7),sk_c10) = sk_c8
| multiply(sk_c11,sk_c3) = sk_c10 ),
inference(spm,[status(thm)],[c_0_21,c_0_29]) ).
cnf(c_0_34,negated_conjecture,
( multiply(sk_c11,sk_c3) = sk_c10
| inverse(sk_c7) = sk_c8 ),
prove_this_27 ).
cnf(c_0_35,negated_conjecture,
( multiply(sk_c11,sk_c3) = sk_c10
| multiply(sk_c4,sk_c5) = sk_c11 ),
prove_this_21 ).
cnf(c_0_36,negated_conjecture,
( multiply(inverse(sk_c4),sk_c11) = sk_c5
| multiply(sk_c2,sk_c11) = sk_c3 ),
inference(spm,[status(thm)],[c_0_21,c_0_30]) ).
cnf(c_0_37,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c3
| inverse(sk_c4) = sk_c5 ),
prove_this_32 ).
cnf(c_0_38,negated_conjecture,
( multiply(sk_c11,sk_c11) = sk_c10
| inverse(sk_c1) = sk_c11 ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_39,negated_conjecture,
( multiply(sk_c11,sk_c3) = sk_c10
| multiply(sk_c8,sk_c10) = sk_c8 ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_40,negated_conjecture,
( multiply(inverse(sk_c4),sk_c11) = sk_c5
| multiply(sk_c11,sk_c3) = sk_c10 ),
inference(spm,[status(thm)],[c_0_21,c_0_35]) ).
cnf(c_0_41,negated_conjecture,
( multiply(sk_c11,sk_c3) = sk_c10
| inverse(sk_c4) = sk_c5 ),
prove_this_22 ).
cnf(c_0_42,negated_conjecture,
( multiply(sk_c4,multiply(sk_c5,X1)) = multiply(sk_c11,X1)
| multiply(sk_c2,sk_c11) = sk_c3 ),
inference(spm,[status(thm)],[c_0_18,c_0_30]) ).
cnf(c_0_43,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c3
| multiply(sk_c5,sk_c11) = sk_c5 ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_44,negated_conjecture,
multiply(sk_c11,sk_c11) = sk_c10,
inference(spm,[status(thm)],[c_0_26,c_0_38]) ).
cnf(c_0_45,negated_conjecture,
( multiply(sk_c11,sk_c3) = sk_c10
| identity = sk_c10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_39]),c_0_19]) ).
cnf(c_0_46,negated_conjecture,
( multiply(sk_c11,sk_c3) = sk_c10
| multiply(sk_c5,sk_c11) = sk_c5 ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_47,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c3
| multiply(sk_c4,sk_c5) = sk_c10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]) ).
cnf(c_0_48,negated_conjecture,
( multiply(inverse(sk_c11),sk_c10) = sk_c3
| identity = sk_c10 ),
inference(spm,[status(thm)],[c_0_21,c_0_45]) ).
cnf(c_0_49,negated_conjecture,
multiply(inverse(sk_c11),sk_c10) = sk_c11,
inference(spm,[status(thm)],[c_0_21,c_0_44]) ).
cnf(c_0_50,negated_conjecture,
( multiply(sk_c11,sk_c3) = sk_c10
| identity = sk_c11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_46]),c_0_19]) ).
cnf(c_0_51,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c3
| sk_c10 = sk_c11 ),
inference(spm,[status(thm)],[c_0_30,c_0_47]) ).
cnf(c_0_52,negated_conjecture,
( identity = sk_c10
| sk_c3 = sk_c11 ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_53,negated_conjecture,
( identity = sk_c11
| sk_c3 = sk_c11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_50]),c_0_49]) ).
cnf(c_0_54,negated_conjecture,
( multiply(inverse(sk_c2),sk_c3) = sk_c11
| sk_c10 = sk_c11 ),
inference(spm,[status(thm)],[c_0_21,c_0_51]) ).
cnf(c_0_55,negated_conjecture,
( sk_c3 = sk_c11
| sk_c10 = sk_c11 ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_56,negated_conjecture,
( multiply(inverse(sk_c2),sk_c11) = sk_c11
| sk_c10 = sk_c11 ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_57,negated_conjecture,
( inverse(sk_c2) = sk_c11
| multiply(sk_c4,sk_c5) = sk_c11 ),
prove_this_41 ).
cnf(c_0_58,negated_conjecture,
( inverse(sk_c2) = sk_c11
| multiply(sk_c7,sk_c8) = sk_c10 ),
prove_this_46 ).
cnf(c_0_59,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c11
| sk_c10 = sk_c11 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_44])]) ).
cnf(c_0_60,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c10
| sk_c10 = sk_c11 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_58]),c_0_44])]) ).
cnf(c_0_61,negated_conjecture,
( multiply(inverse(sk_c4),sk_c11) = sk_c5
| sk_c10 = sk_c11 ),
inference(spm,[status(thm)],[c_0_21,c_0_59]) ).
cnf(c_0_62,negated_conjecture,
( inverse(sk_c2) = sk_c11
| inverse(sk_c4) = sk_c5 ),
prove_this_42 ).
cnf(c_0_63,negated_conjecture,
( multiply(inverse(sk_c7),sk_c10) = sk_c8
| sk_c10 = sk_c11 ),
inference(spm,[status(thm)],[c_0_21,c_0_60]) ).
cnf(c_0_64,negated_conjecture,
( inverse(sk_c2) = sk_c11
| inverse(sk_c7) = sk_c8 ),
prove_this_47 ).
cnf(c_0_65,negated_conjecture,
( multiply(sk_c5,sk_c11) = sk_c5
| inverse(sk_c2) = sk_c11
| sk_c10 = sk_c11 ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_66,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c8
| inverse(sk_c2) = sk_c11
| sk_c10 = sk_c11 ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_67,negated_conjecture,
( multiply(sk_c5,sk_c11) = sk_c5
| sk_c10 = sk_c11 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_65]),c_0_44])]) ).
cnf(c_0_68,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c8
| sk_c10 = sk_c11 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_66]),c_0_44])]) ).
cnf(c_0_69,negated_conjecture,
( inverse(X1) != sk_c11
| multiply(X1,sk_c10) != sk_c11
| multiply(sk_c11,X2) != sk_c10
| multiply(X3,sk_c11) != X2
| inverse(X3) != sk_c11
| multiply(X4,X5) != sk_c11
| inverse(X4) != X5
| multiply(X5,sk_c10) != sk_c11
| inverse(X6) != sk_c11
| multiply(X6,sk_c10) != sk_c11
| multiply(X7,X8) != sk_c10
| inverse(X7) != X8
| multiply(X8,sk_c11) != sk_c10
| inverse(X9) != sk_c10
| multiply(X9,sk_c11) != sk_c10 ),
prove_this_51 ).
cnf(c_0_70,negated_conjecture,
( sk_c10 = sk_c11
| identity = sk_c11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_67]),c_0_19]) ).
cnf(c_0_71,negated_conjecture,
( sk_c10 = sk_c11
| identity = sk_c10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_68]),c_0_19]) ).
cnf(c_0_72,negated_conjecture,
( multiply(sk_c11,multiply(X1,sk_c11)) != sk_c10
| multiply(inverse(X2),sk_c11) != sk_c10
| multiply(inverse(X3),sk_c10) != sk_c11
| multiply(X2,inverse(X2)) != sk_c10
| multiply(X3,inverse(X3)) != sk_c11
| multiply(X4,sk_c11) != sk_c10
| multiply(X5,sk_c10) != sk_c11
| multiply(X6,sk_c10) != sk_c11
| inverse(X4) != sk_c10
| inverse(X5) != sk_c11
| inverse(X1) != sk_c11
| inverse(X6) != sk_c11 ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_69])])]) ).
cnf(c_0_73,negated_conjecture,
sk_c10 = sk_c11,
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_74,negated_conjecture,
( multiply(sk_c11,multiply(X1,multiply(X2,sk_c11))) != sk_c10
| multiply(inverse(X3),sk_c11) != sk_c10
| multiply(inverse(X4),sk_c10) != sk_c11
| multiply(X3,inverse(X3)) != sk_c10
| multiply(X4,inverse(X4)) != sk_c11
| inverse(multiply(X1,X2)) != sk_c11
| multiply(X5,sk_c11) != sk_c10
| multiply(X6,sk_c10) != sk_c11
| multiply(X7,sk_c10) != sk_c11
| inverse(X5) != sk_c10
| inverse(X6) != sk_c11
| inverse(X7) != sk_c11 ),
inference(spm,[status(thm)],[c_0_72,c_0_18]) ).
cnf(c_0_75,negated_conjecture,
identity = sk_c11,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_73]),c_0_19]) ).
cnf(c_0_76,negated_conjecture,
( multiply(sk_c11,multiply(X1,multiply(X2,multiply(X3,sk_c11)))) != sk_c10
| inverse(multiply(X1,multiply(X2,X3))) != sk_c11
| multiply(inverse(X4),sk_c11) != sk_c10
| multiply(inverse(X5),sk_c10) != sk_c11
| multiply(X4,inverse(X4)) != sk_c10
| multiply(X5,inverse(X5)) != sk_c11
| multiply(X6,sk_c11) != sk_c10
| multiply(X7,sk_c10) != sk_c11
| multiply(X8,sk_c10) != sk_c11
| inverse(X6) != sk_c10
| inverse(X7) != sk_c11
| inverse(X8) != sk_c11 ),
inference(spm,[status(thm)],[c_0_74,c_0_18]) ).
cnf(c_0_77,plain,
multiply(sk_c11,X1) = X1,
inference(rw,[status(thm)],[c_0_20,c_0_75]) ).
cnf(c_0_78,plain,
multiply(inverse(X1),X1) = sk_c11,
inference(rw,[status(thm)],[c_0_19,c_0_75]) ).
cnf(c_0_79,plain,
multiply(inverse(inverse(X1)),X2) = multiply(X1,X2),
inference(spm,[status(thm)],[c_0_21,c_0_21]) ).
cnf(c_0_80,negated_conjecture,
( multiply(X1,multiply(X2,multiply(X3,sk_c11))) != sk_c11
| inverse(multiply(X1,multiply(X2,X3))) != sk_c11
| multiply(inverse(X4),sk_c11) != sk_c11
| multiply(inverse(X5),sk_c11) != sk_c11
| multiply(X4,inverse(X4)) != sk_c11
| multiply(X5,inverse(X5)) != sk_c11
| multiply(X6,sk_c11) != sk_c11
| multiply(X7,sk_c11) != sk_c11
| multiply(X8,sk_c11) != sk_c11
| inverse(X6) != sk_c11
| inverse(X7) != sk_c11
| inverse(X8) != sk_c11 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_73]),c_0_73]),c_0_73]),c_0_73]),c_0_73]),c_0_73]),c_0_73]),c_0_73]),c_0_77]) ).
cnf(c_0_81,plain,
multiply(inverse(sk_c11),X1) = X1,
inference(spm,[status(thm)],[c_0_21,c_0_77]) ).
cnf(c_0_82,plain,
multiply(X1,sk_c11) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_78]),c_0_79]) ).
cnf(c_0_83,negated_conjecture,
( inverse(multiply(X1,multiply(inverse(multiply(X2,sk_c11)),X2))) != sk_c11
| multiply(inverse(X3),sk_c11) != sk_c11
| multiply(inverse(X4),sk_c11) != sk_c11
| multiply(X3,inverse(X3)) != sk_c11
| multiply(X4,inverse(X4)) != sk_c11
| multiply(X1,sk_c11) != sk_c11
| multiply(X5,sk_c11) != sk_c11
| multiply(X6,sk_c11) != sk_c11
| multiply(X7,sk_c11) != sk_c11
| inverse(X5) != sk_c11
| inverse(X6) != sk_c11
| inverse(X7) != sk_c11 ),
inference(spm,[status(thm)],[c_0_80,c_0_78]) ).
cnf(c_0_84,plain,
inverse(sk_c11) = sk_c11,
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_85,negated_conjecture,
( multiply(X1,inverse(X1)) != sk_c11
| multiply(X2,inverse(X2)) != sk_c11
| inverse(X1) != sk_c11
| inverse(X2) != sk_c11 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[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_82]),c_0_19]),c_0_75]),c_0_82]),c_0_82]),c_0_82]),c_0_82]),c_0_82]),c_0_82]),c_0_82])])])])]),c_0_84])]) ).
cnf(c_0_86,negated_conjecture,
( multiply(X1,inverse(X1)) != sk_c11
| inverse(X1) != sk_c11 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_84]),c_0_77])]) ).
cnf(c_0_87,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_84]),c_0_77])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP224-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.12 % 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
% 0.16/0.33 % Computer : n013.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 18:28:26 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 6.28/4.54 % Version : CSE_E---1.7
% 6.28/4.54 % Problem : theBenchmark.p
% 6.28/4.54 % SZS status Unsatisfiable for theBenchmark.p
% 6.28/4.54 % SZS output start CNFRefutation
% See solution above
% 6.28/4.56 % Total time : 3.369s
%------------------------------------------------------------------------------