%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GRP249-1 : 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 : 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 04:24:55 PM UTC 2026
% Result : Unsatisfiable 33.31s 20.08s
% Output : CNFRefutation 33.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 16
% Syntax : Number of clauses : 97 ( 26 unt; 61 nHn; 80 RR)
% Number of literals : 217 ( 216 equ; 64 neg)
% Maximal clause size : 12 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 56 ( 4 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_4,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| multiply(sk_c5,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(prove_this_5,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
cnf(prove_this_16,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c7
| multiply(sk_c5,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
cnf(prove_this_11,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(prove_this_22,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c5,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
cnf(prove_this_7,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
cnf(prove_this_19,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
cnf(prove_this_33,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c9
| multiply(sk_c4,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
cnf(prove_this_27,negated_conjecture,
( inverse(sk_c3) = sk_c9
| multiply(sk_c4,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
cnf(prove_this_13,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c7
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
cnf(prove_this_26,negated_conjecture,
( inverse(sk_c3) = sk_c9
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
cnf(prove_this_32,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c9
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
cnf(prove_this_37,negated_conjecture,
( multiply(X1,sk_c9) != sk_c8
| inverse(X1) != sk_c9
| multiply(X2,sk_c8) != sk_c7
| inverse(X2) != sk_c8
| inverse(X3) != sk_c9
| multiply(X3,sk_c7) != sk_c9
| inverse(sk_c8) != sk_c7
| inverse(X4) != sk_c9
| multiply(X4,sk_c8) != sk_c9
| multiply(X5,X6) != sk_c8
| inverse(X5) != X6
| multiply(X6,sk_c7) != sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
cnf(c_0_16,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
associativity ).
cnf(c_0_17,axiom,
multiply(inverse(X1),X1) = identity,
left_inverse ).
cnf(c_0_18,axiom,
multiply(identity,X1) = X1,
left_identity ).
cnf(c_0_19,plain,
multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).
cnf(c_0_20,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| multiply(sk_c5,sk_c6) = sk_c8 ),
prove_this_4 ).
cnf(c_0_21,negated_conjecture,
( multiply(inverse(sk_c5),sk_c8) = sk_c6
| multiply(sk_c1,sk_c9) = sk_c8 ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_22,negated_conjecture,
( multiply(inverse(inverse(sk_c5)),sk_c6) = sk_c8
| multiply(sk_c1,sk_c9) = sk_c8 ),
inference(spm,[status(thm)],[c_0_19,c_0_21]) ).
cnf(c_0_23,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| inverse(sk_c5) = sk_c6 ),
prove_this_5 ).
cnf(c_0_24,plain,
multiply(inverse(inverse(X1)),X2) = multiply(X1,X2),
inference(spm,[status(thm)],[c_0_19,c_0_19]) ).
cnf(c_0_25,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| identity = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_17]) ).
cnf(c_0_26,plain,
multiply(X1,identity) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_17]),c_0_24]) ).
cnf(c_0_27,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c7
| multiply(sk_c5,sk_c6) = sk_c8 ),
prove_this_16 ).
cnf(c_0_28,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X3))) = X3,
inference(spm,[status(thm)],[c_0_19,c_0_16]) ).
cnf(c_0_29,negated_conjecture,
( multiply(inverse(sk_c1),sk_c8) = sk_c9
| identity = sk_c8 ),
inference(spm,[status(thm)],[c_0_19,c_0_25]) ).
cnf(c_0_30,plain,
inverse(inverse(X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_26]),c_0_26]) ).
cnf(c_0_31,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c5) = sk_c6 ),
prove_this_11 ).
cnf(c_0_32,negated_conjecture,
( multiply(inverse(sk_c2),sk_c7) = sk_c8
| multiply(sk_c5,sk_c6) = sk_c8 ),
inference(spm,[status(thm)],[c_0_19,c_0_27]) ).
cnf(c_0_33,negated_conjecture,
( multiply(inverse(multiply(X1,inverse(sk_c1))),multiply(X1,sk_c9)) = sk_c8
| identity = sk_c8 ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_34,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c6) = sk_c5 ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_35,negated_conjecture,
( multiply(inverse(inverse(sk_c2)),sk_c8) = sk_c7
| multiply(sk_c5,sk_c6) = sk_c8 ),
inference(spm,[status(thm)],[c_0_19,c_0_32]) ).
cnf(c_0_36,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c5,sk_c6) = sk_c8 ),
prove_this_22 ).
cnf(c_0_37,negated_conjecture,
( inverse(sk_c6) = sk_c5
| identity = sk_c8 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_17])]) ).
cnf(c_0_38,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c8) = sk_c7 ),
prove_this_7 ).
cnf(c_0_39,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c8
| identity = sk_c7 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_17]) ).
cnf(c_0_40,negated_conjecture,
( multiply(sk_c5,sk_c6) = identity
| identity = sk_c8 ),
inference(spm,[status(thm)],[c_0_17,c_0_37]) ).
cnf(c_0_41,negated_conjecture,
( inverse(sk_c8) = sk_c7
| identity = sk_c8 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_38]),c_0_17])]) ).
cnf(c_0_42,plain,
inverse(identity) = identity,
inference(spm,[status(thm)],[c_0_17,c_0_26]) ).
cnf(c_0_43,negated_conjecture,
( identity = sk_c7
| identity = sk_c8 ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_44,negated_conjecture,
( inverse(sk_c7) = sk_c8
| identity = sk_c8 ),
inference(spm,[status(thm)],[c_0_30,c_0_41]) ).
cnf(c_0_45,negated_conjecture,
( inverse(sk_c7) = sk_c7
| identity = sk_c8 ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_46,negated_conjecture,
( identity = sk_c8
| sk_c7 != sk_c8 ),
inference(ef,[status(thm)],[c_0_43]) ).
cnf(c_0_47,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c8) = sk_c7 ),
prove_this_19 ).
cnf(c_0_48,negated_conjecture,
identity = sk_c8,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]) ).
cnf(c_0_49,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c9
| multiply(sk_c4,sk_c8) = sk_c9 ),
prove_this_33 ).
cnf(c_0_50,negated_conjecture,
( inverse(sk_c8) = sk_c7
| inverse(sk_c8) = sk_c2 ),
inference(spm,[status(thm)],[c_0_30,c_0_47]) ).
cnf(c_0_51,plain,
inverse(sk_c8) = sk_c8,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_48]),c_0_48]) ).
cnf(c_0_52,negated_conjecture,
( multiply(inverse(sk_c3),sk_c9) = sk_c7
| multiply(sk_c4,sk_c8) = sk_c9 ),
inference(spm,[status(thm)],[c_0_19,c_0_49]) ).
cnf(c_0_53,negated_conjecture,
( inverse(sk_c3) = sk_c9
| multiply(sk_c4,sk_c8) = sk_c9 ),
prove_this_27 ).
cnf(c_0_54,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c7
| inverse(sk_c8) = sk_c7 ),
prove_this_13 ).
cnf(c_0_55,negated_conjecture,
( inverse(sk_c8) = sk_c2
| sk_c7 = sk_c8 ),
inference(rw,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_56,negated_conjecture,
( inverse(sk_c3) = sk_c9
| inverse(sk_c4) = sk_c9 ),
prove_this_26 ).
cnf(c_0_57,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c9
| multiply(sk_c9,sk_c9) = sk_c7 ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_58,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c7
| sk_c7 = sk_c8 ),
inference(spm,[status(thm)],[c_0_54,c_0_51]) ).
cnf(c_0_59,negated_conjecture,
( sk_c7 = sk_c8
| sk_c2 = sk_c8 ),
inference(spm,[status(thm)],[c_0_51,c_0_55]) ).
cnf(c_0_60,negated_conjecture,
( inverse(sk_c4) = sk_c9
| inverse(sk_c9) = sk_c3 ),
inference(spm,[status(thm)],[c_0_30,c_0_56]) ).
cnf(c_0_61,negated_conjecture,
( multiply(inverse(sk_c4),sk_c9) = sk_c8
| multiply(sk_c9,sk_c9) = sk_c7 ),
inference(spm,[status(thm)],[c_0_19,c_0_57]) ).
cnf(c_0_62,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c9
| inverse(sk_c4) = sk_c9 ),
prove_this_32 ).
cnf(c_0_63,negated_conjecture,
( multiply(sk_c8,sk_c8) = sk_c7
| sk_c7 = sk_c8 ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_64,negated_conjecture,
( inverse(sk_c9) = sk_c3
| inverse(sk_c9) = sk_c4 ),
inference(spm,[status(thm)],[c_0_30,c_0_60]) ).
cnf(c_0_65,negated_conjecture,
( multiply(sk_c9,sk_c3) = identity
| inverse(sk_c4) = sk_c9 ),
inference(spm,[status(thm)],[c_0_17,c_0_56]) ).
cnf(c_0_66,negated_conjecture,
( multiply(sk_c9,multiply(sk_c3,X1)) = X1
| inverse(sk_c4) = sk_c9 ),
inference(spm,[status(thm)],[c_0_19,c_0_56]) ).
cnf(c_0_67,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c9
| multiply(sk_c9,sk_c9) = sk_c7
| multiply(sk_c9,sk_c9) = sk_c8 ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_68,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c8
| sk_c7 = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_63]),c_0_51]) ).
cnf(c_0_69,negated_conjecture,
( inverse(sk_c9) = sk_c4
| sk_c3 != sk_c4 ),
inference(ef,[status(thm)],[c_0_64]) ).
cnf(c_0_70,negated_conjecture,
( multiply(sk_c9,multiply(sk_c4,X1)) = X1
| multiply(sk_c9,sk_c3) = identity ),
inference(spm,[status(thm)],[c_0_19,c_0_65]) ).
cnf(c_0_71,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c9
| multiply(sk_c9,sk_c3) = identity ),
inference(spm,[status(thm)],[c_0_17,c_0_53]) ).
cnf(c_0_72,negated_conjecture,
( multiply(sk_c9,sk_c9) = sk_c8
| multiply(sk_c9,sk_c9) = sk_c7
| inverse(sk_c4) = sk_c9 ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_73,negated_conjecture,
sk_c7 = sk_c8,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_68]),c_0_17]),c_0_48])]) ).
cnf(c_0_74,negated_conjecture,
( inverse(sk_c4) = sk_c9
| sk_c3 != sk_c4 ),
inference(spm,[status(thm)],[c_0_30,c_0_69]) ).
cnf(c_0_75,negated_conjecture,
( multiply(sk_c9,sk_c3) = identity
| multiply(sk_c9,sk_c9) = sk_c8 ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_76,negated_conjecture,
( multiply(sk_c9,sk_c9) = sk_c8
| inverse(sk_c4) = sk_c9 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_73])]) ).
cnf(c_0_77,negated_conjecture,
( multiply(sk_c9,sk_c9) = sk_c7
| multiply(sk_c9,sk_c9) = sk_c8
| sk_c3 != sk_c4 ),
inference(spm,[status(thm)],[c_0_61,c_0_74]) ).
cnf(c_0_78,negated_conjecture,
( multiply(sk_c9,sk_c9) = sk_c8
| inverse(sk_c9) = sk_c3 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_75]),c_0_26]) ).
cnf(c_0_79,negated_conjecture,
( multiply(sk_c9,sk_c9) = sk_c8
| inverse(sk_c9) = sk_c4 ),
inference(spm,[status(thm)],[c_0_30,c_0_76]) ).
cnf(c_0_80,negated_conjecture,
( multiply(sk_c9,sk_c9) = sk_c8
| sk_c3 != sk_c4 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_73])]) ).
cnf(c_0_81,plain,
inverse(multiply(inverse(multiply(X1,X2)),X1)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_17]),c_0_26]) ).
cnf(c_0_82,negated_conjecture,
multiply(sk_c9,sk_c9) = sk_c8,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80]) ).
cnf(c_0_83,negated_conjecture,
( multiply(X1,sk_c9) != sk_c8
| inverse(X1) != sk_c9
| multiply(X2,sk_c8) != sk_c7
| inverse(X2) != sk_c8
| inverse(X3) != sk_c9
| multiply(X3,sk_c7) != sk_c9
| inverse(sk_c8) != sk_c7
| inverse(X4) != sk_c9
| multiply(X4,sk_c8) != sk_c9
| multiply(X5,X6) != sk_c8
| inverse(X5) != X6
| multiply(X6,sk_c7) != sk_c8 ),
prove_this_37 ).
cnf(c_0_84,negated_conjecture,
inverse(multiply(sk_c8,sk_c9)) = sk_c9,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_51]) ).
cnf(c_0_85,negated_conjecture,
( multiply(inverse(X1),sk_c7) != sk_c8
| multiply(X1,inverse(X1)) != sk_c8
| multiply(X2,sk_c8) != sk_c9
| multiply(X3,sk_c7) != sk_c9
| multiply(X4,sk_c8) != sk_c7
| multiply(X5,sk_c9) != sk_c8
| inverse(sk_c8) != sk_c7
| inverse(X2) != sk_c9
| inverse(X3) != sk_c9
| inverse(X4) != sk_c8
| inverse(X5) != sk_c9 ),
inference(er,[status(thm)],[c_0_83]) ).
cnf(c_0_86,plain,
multiply(X1,inverse(X1)) = identity,
inference(spm,[status(thm)],[c_0_17,c_0_30]) ).
cnf(c_0_87,negated_conjecture,
inverse(multiply(sk_c9,sk_c8)) = sk_c9,
inference(spm,[status(thm)],[c_0_81,c_0_84]) ).
cnf(c_0_88,negated_conjecture,
inverse(sk_c9) = multiply(sk_c8,sk_c9),
inference(spm,[status(thm)],[c_0_30,c_0_84]) ).
cnf(c_0_89,negated_conjecture,
( multiply(inverse(X1),sk_c7) != sk_c8
| multiply(X2,sk_c8) != sk_c9
| multiply(X3,sk_c7) != sk_c9
| multiply(X4,sk_c8) != sk_c7
| multiply(X5,sk_c9) != sk_c8
| inverse(sk_c8) != sk_c7
| inverse(X2) != sk_c9
| inverse(X3) != sk_c9
| inverse(X4) != sk_c8
| inverse(X5) != sk_c9
| identity != sk_c8 ),
inference(rw,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_90,negated_conjecture,
multiply(sk_c9,sk_c8) = multiply(sk_c8,sk_c9),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_87]),c_0_88]) ).
cnf(c_0_91,plain,
multiply(X1,sk_c8) = X1,
inference(rw,[status(thm)],[c_0_26,c_0_48]) ).
cnf(c_0_92,negated_conjecture,
( multiply(inverse(X1),sk_c8) != sk_c8
| multiply(X2,sk_c8) != sk_c9
| multiply(X3,sk_c8) != sk_c9
| multiply(X4,sk_c8) != sk_c8
| multiply(X5,sk_c9) != sk_c8
| inverse(X2) != sk_c9
| inverse(X3) != sk_c9
| inverse(X4) != sk_c8
| inverse(X5) != sk_c9 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_48])]),c_0_73]),c_0_73]),c_0_73]),c_0_51]),c_0_73])]) ).
cnf(c_0_93,negated_conjecture,
multiply(sk_c8,sk_c9) = sk_c9,
inference(rw,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_94,negated_conjecture,
( multiply(X1,sk_c9) != sk_c8
| inverse(X2) != sk_c8
| inverse(X1) != sk_c9 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[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)],[c_0_92,c_0_91]),c_0_91]),c_0_91]),c_0_91])])])]),c_0_88]),c_0_51])]),c_0_93])]) ).
cnf(c_0_95,negated_conjecture,
inverse(X1) != sk_c8,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_82]),c_0_88]),c_0_93])]) ).
cnf(c_0_96,plain,
$false,
inference(sr,[status(thm)],[c_0_51,c_0_95]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : GRP249-1 : TPTP v9.2.1. Released v2.5.0.
% 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 18:30:00 EDT 2026
% 0.06/0.24 % CPUTime :
% 0.06/0.25 % start to proof: theBenchmark
% 33.31/20.08 % Version : CSE_E---1.7
% 33.31/20.08 % Problem : theBenchmark.p
% 33.31/20.08 % SZS status Unsatisfiable for theBenchmark.p
% 33.31/20.08 % SZS output start CNFRefutation
% See solution above
% 33.48/20.24 % Total time : 14.374s
%------------------------------------------------------------------------------