%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GRP239-1 : 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 : n022.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 04:24:54 PM UTC 2026
% Result : Unsatisfiable 28.31s 17.32s
% Output : CNFRefutation 28.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 20
% Syntax : Number of clauses : 113 ( 32 unt; 78 nHn; 91 RR)
% Number of literals : 225 ( 224 equ; 38 neg)
% Maximal clause size : 13 ( 1 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 : 52 ( 1 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_16,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| multiply(sk_c4,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
cnf(prove_this_15,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
cnf(prove_this_9,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c4,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
cnf(prove_this_8,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
cnf(prove_this_11,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(prove_this_39,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).
cnf(prove_this_4,negated_conjecture,
( inverse(sk_c9) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(prove_this_10,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
cnf(prove_this_38,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).
cnf(prove_this_17,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
cnf(prove_this_3,negated_conjecture,
( inverse(sk_c9) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
cnf(prove_this_26,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c6,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
cnf(prove_this_31,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
cnf(prove_this_27,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
cnf(prove_this_18,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
cnf(prove_this_32,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
cnf(prove_this_43,negated_conjecture,
( inverse(sk_c9) != sk_c8
| inverse(X1) != sk_c9
| multiply(X1,sk_c8) != sk_c9
| multiply(sk_c9,X2) != sk_c8
| multiply(X3,sk_c9) != X2
| inverse(X3) != sk_c9
| inverse(X4) != sk_c9
| multiply(X4,sk_c8) != sk_c9
| multiply(X5,sk_c8) != sk_c9
| inverse(X5) != sk_c8
| multiply(X6,X7) != sk_c8
| inverse(X6) != X7
| multiply(X7,sk_c9) != sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
cnf(c_0_20,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
associativity ).
cnf(c_0_21,axiom,
multiply(inverse(X1),X1) = identity,
left_inverse ).
cnf(c_0_22,axiom,
multiply(identity,X1) = X1,
left_identity ).
cnf(c_0_23,plain,
multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).
cnf(c_0_24,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| multiply(sk_c4,sk_c8) = sk_c9 ),
prove_this_16 ).
cnf(c_0_25,negated_conjecture,
( multiply(inverse(sk_c4),sk_c9) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c9 ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_26,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c4) = sk_c9 ),
prove_this_15 ).
cnf(c_0_27,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| multiply(sk_c9,sk_c9) = sk_c8 ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_28,negated_conjecture,
( multiply(inverse(sk_c1),sk_c9) = sk_c8
| multiply(sk_c9,sk_c9) = sk_c8 ),
inference(spm,[status(thm)],[c_0_23,c_0_27]) ).
cnf(c_0_29,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c4,sk_c8) = sk_c9 ),
prove_this_9 ).
cnf(c_0_30,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c9
| multiply(sk_c9,sk_c9) = sk_c8 ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_31,negated_conjecture,
( multiply(inverse(sk_c4),sk_c9) = sk_c8
| multiply(sk_c9,sk_c9) = sk_c8 ),
inference(spm,[status(thm)],[c_0_23,c_0_30]) ).
cnf(c_0_32,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c4) = sk_c9 ),
prove_this_8 ).
cnf(c_0_33,negated_conjecture,
( multiply(sk_c9,sk_c9) = sk_c8
| inverse(sk_c1) = sk_c9 ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_34,plain,
multiply(inverse(inverse(X1)),X2) = multiply(X1,X2),
inference(spm,[status(thm)],[c_0_23,c_0_23]) ).
cnf(c_0_35,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X3))) = X3,
inference(spm,[status(thm)],[c_0_23,c_0_20]) ).
cnf(c_0_36,negated_conjecture,
multiply(sk_c9,sk_c9) = sk_c8,
inference(spm,[status(thm)],[c_0_28,c_0_33]) ).
cnf(c_0_37,plain,
multiply(X1,identity) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_21]),c_0_34]) ).
cnf(c_0_38,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c5) = sk_c8 ),
prove_this_11 ).
cnf(c_0_39,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c5) = sk_c8 ),
prove_this_39 ).
cnf(c_0_40,negated_conjecture,
multiply(inverse(multiply(X1,sk_c9)),multiply(X1,sk_c8)) = sk_c9,
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_41,negated_conjecture,
( inverse(sk_c9) = sk_c8
| inverse(sk_c5) = sk_c8 ),
prove_this_4 ).
cnf(c_0_42,plain,
inverse(inverse(X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_37]),c_0_37]) ).
cnf(c_0_43,negated_conjecture,
( multiply(sk_c8,sk_c5) = identity
| inverse(sk_c1) = sk_c9 ),
inference(spm,[status(thm)],[c_0_21,c_0_38]) ).
cnf(c_0_44,negated_conjecture,
( multiply(sk_c8,sk_c5) = identity
| inverse(sk_c2) = sk_c9 ),
inference(spm,[status(thm)],[c_0_21,c_0_39]) ).
cnf(c_0_45,negated_conjecture,
inverse(multiply(inverse(sk_c8),sk_c9)) = sk_c9,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_21]),c_0_37]) ).
cnf(c_0_46,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c5,sk_c8) = sk_c9 ),
prove_this_10 ).
cnf(c_0_47,negated_conjecture,
( multiply(sk_c8,sk_c5) = identity
| inverse(sk_c9) = sk_c8 ),
inference(spm,[status(thm)],[c_0_21,c_0_41]) ).
cnf(c_0_48,negated_conjecture,
( multiply(sk_c8,sk_c5) = identity
| inverse(sk_c9) = sk_c1 ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_49,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c5,sk_c8) = sk_c9 ),
prove_this_38 ).
cnf(c_0_50,negated_conjecture,
( multiply(sk_c8,sk_c5) = identity
| inverse(sk_c9) = sk_c2 ),
inference(spm,[status(thm)],[c_0_42,c_0_44]) ).
cnf(c_0_51,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| multiply(sk_c5,sk_c8) = sk_c9 ),
prove_this_17 ).
cnf(c_0_52,negated_conjecture,
multiply(inverse(sk_c9),sk_c8) = sk_c9,
inference(spm,[status(thm)],[c_0_23,c_0_36]) ).
cnf(c_0_53,negated_conjecture,
multiply(inverse(sk_c8),sk_c9) = inverse(sk_c9),
inference(spm,[status(thm)],[c_0_42,c_0_45]) ).
cnf(c_0_54,negated_conjecture,
( inverse(sk_c9) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c9 ),
prove_this_3 ).
cnf(c_0_55,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| inverse(sk_c9) = sk_c1 ),
inference(spm,[status(thm)],[c_0_42,c_0_46]) ).
cnf(c_0_56,negated_conjecture,
( multiply(sk_c8,sk_c5) = identity
| sk_c1 = sk_c8 ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_57,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c6,sk_c7) = sk_c8 ),
prove_this_26 ).
cnf(c_0_58,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| multiply(sk_c5,sk_c8) = sk_c9 ),
prove_this_31 ).
cnf(c_0_59,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| inverse(sk_c9) = sk_c2 ),
inference(spm,[status(thm)],[c_0_42,c_0_49]) ).
cnf(c_0_60,negated_conjecture,
( multiply(sk_c8,sk_c5) = identity
| sk_c2 = sk_c8 ),
inference(spm,[status(thm)],[c_0_47,c_0_50]) ).
cnf(c_0_61,negated_conjecture,
( multiply(inverse(sk_c5),sk_c9) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c9 ),
inference(spm,[status(thm)],[c_0_23,c_0_51]) ).
cnf(c_0_62,negated_conjecture,
multiply(inverse(sk_c9),multiply(sk_c8,X1)) = multiply(sk_c9,X1),
inference(spm,[status(thm)],[c_0_20,c_0_52]) ).
cnf(c_0_63,negated_conjecture,
multiply(sk_c8,inverse(sk_c9)) = sk_c9,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_53]),c_0_42]) ).
cnf(c_0_64,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| sk_c1 = sk_c8 ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_65,negated_conjecture,
( inverse(sk_c8) = sk_c5
| sk_c1 = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_56]),c_0_37]) ).
cnf(c_0_66,negated_conjecture,
multiply(sk_c9,multiply(sk_c9,X1)) = multiply(sk_c8,X1),
inference(spm,[status(thm)],[c_0_20,c_0_36]) ).
cnf(c_0_67,negated_conjecture,
( multiply(inverse(sk_c6),sk_c8) = sk_c7
| multiply(sk_c9,sk_c3) = sk_c8 ),
inference(spm,[status(thm)],[c_0_23,c_0_57]) ).
cnf(c_0_68,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| inverse(sk_c6) = sk_c7 ),
prove_this_27 ).
cnf(c_0_69,negated_conjecture,
( multiply(inverse(sk_c5),sk_c9) = sk_c8
| multiply(sk_c2,sk_c9) = sk_c3 ),
inference(spm,[status(thm)],[c_0_23,c_0_58]) ).
cnf(c_0_70,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| sk_c2 = sk_c8 ),
inference(spm,[status(thm)],[c_0_54,c_0_59]) ).
cnf(c_0_71,negated_conjecture,
( inverse(sk_c8) = sk_c5
| sk_c2 = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_60]),c_0_37]) ).
cnf(c_0_72,negated_conjecture,
( multiply(inverse(sk_c5),multiply(sk_c9,X1)) = multiply(sk_c8,X1)
| multiply(sk_c1,sk_c8) = sk_c9 ),
inference(spm,[status(thm)],[c_0_20,c_0_61]) ).
cnf(c_0_73,negated_conjecture,
multiply(sk_c9,inverse(sk_c9)) = identity,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_21]) ).
cnf(c_0_74,negated_conjecture,
( multiply(inverse(sk_c5),sk_c9) = sk_c8
| sk_c1 = sk_c8 ),
inference(spm,[status(thm)],[c_0_23,c_0_64]) ).
cnf(c_0_75,negated_conjecture,
( inverse(sk_c5) = sk_c8
| sk_c1 = sk_c8 ),
inference(spm,[status(thm)],[c_0_42,c_0_65]) ).
cnf(c_0_76,negated_conjecture,
multiply(sk_c8,sk_c9) = multiply(sk_c9,sk_c8),
inference(spm,[status(thm)],[c_0_66,c_0_36]) ).
cnf(c_0_77,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c7,sk_c8) = sk_c7 ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_78,negated_conjecture,
( multiply(inverse(sk_c5),multiply(sk_c9,X1)) = multiply(sk_c8,X1)
| multiply(sk_c2,sk_c9) = sk_c3 ),
inference(spm,[status(thm)],[c_0_20,c_0_69]) ).
cnf(c_0_79,negated_conjecture,
( multiply(inverse(sk_c5),sk_c9) = sk_c8
| sk_c2 = sk_c8 ),
inference(spm,[status(thm)],[c_0_23,c_0_70]) ).
cnf(c_0_80,negated_conjecture,
( inverse(sk_c5) = sk_c8
| sk_c2 = sk_c8 ),
inference(spm,[status(thm)],[c_0_42,c_0_71]) ).
cnf(c_0_81,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c5) = sk_c8 ),
prove_this_18 ).
cnf(c_0_82,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c5) = sk_c9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_37]),c_0_63]) ).
cnf(c_0_83,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c8
| sk_c1 = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]) ).
cnf(c_0_84,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| identity = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_77]),c_0_21]) ).
cnf(c_0_85,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| inverse(sk_c5) = sk_c8 ),
prove_this_32 ).
cnf(c_0_86,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| inverse(sk_c5) = sk_c9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_73]),c_0_37]),c_0_63]) ).
cnf(c_0_87,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c8
| sk_c2 = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_76]) ).
cnf(c_0_88,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| sk_c8 = sk_c9 ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_89,negated_conjecture,
( sk_c1 = sk_c8
| sk_c8 = sk_c9 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_83]),c_0_52]) ).
cnf(c_0_90,negated_conjecture,
( multiply(inverse(sk_c9),sk_c8) = sk_c3
| identity = sk_c8 ),
inference(spm,[status(thm)],[c_0_23,c_0_84]) ).
cnf(c_0_91,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| sk_c8 = sk_c9 ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_92,negated_conjecture,
( sk_c2 = sk_c8
| sk_c8 = sk_c9 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_87]),c_0_52]) ).
cnf(c_0_93,negated_conjecture,
( multiply(sk_c8,sk_c8) = sk_c9
| sk_c8 = sk_c9 ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_94,negated_conjecture,
( multiply(inverse(sk_c3),multiply(sk_c9,X1)) = X1
| identity = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_90]),c_0_62]) ).
cnf(c_0_95,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c3
| sk_c8 = sk_c9 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_76]) ).
cnf(c_0_96,negated_conjecture,
( inverse(sk_c9) = sk_c8
| sk_c8 = sk_c9 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_93]),c_0_53]) ).
cnf(c_0_97,plain,
inverse(identity) = identity,
inference(spm,[status(thm)],[c_0_21,c_0_37]) ).
cnf(c_0_98,negated_conjecture,
( sk_c8 = sk_c9
| identity = sk_c8 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_21])]) ).
cnf(c_0_99,negated_conjecture,
( inverse(sk_c8) = sk_c9
| sk_c8 = sk_c9 ),
inference(spm,[status(thm)],[c_0_42,c_0_96]) ).
cnf(c_0_100,negated_conjecture,
( inverse(sk_c8) = sk_c8
| sk_c8 = sk_c9 ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_101,negated_conjecture,
sk_c8 = sk_c9,
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_102,negated_conjecture,
identity = sk_c9,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_101]),c_0_73]) ).
cnf(c_0_103,negated_conjecture,
( inverse(sk_c9) != sk_c8
| inverse(X1) != sk_c9
| multiply(X1,sk_c8) != sk_c9
| multiply(sk_c9,X2) != sk_c8
| multiply(X3,sk_c9) != X2
| inverse(X3) != sk_c9
| inverse(X4) != sk_c9
| multiply(X4,sk_c8) != sk_c9
| multiply(X5,sk_c8) != sk_c9
| inverse(X5) != sk_c8
| multiply(X6,X7) != sk_c8
| inverse(X6) != X7
| multiply(X7,sk_c9) != sk_c8 ),
prove_this_43 ).
cnf(c_0_104,plain,
multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3)) = multiply(X2,X3),
inference(spm,[status(thm)],[c_0_35,c_0_23]) ).
cnf(c_0_105,plain,
multiply(inverse(X1),X1) = sk_c9,
inference(rw,[status(thm)],[c_0_21,c_0_102]) ).
cnf(c_0_106,negated_conjecture,
( multiply(sk_c9,multiply(X1,sk_c9)) != sk_c8
| multiply(inverse(X2),sk_c9) != sk_c8
| multiply(X2,inverse(X2)) != sk_c8
| multiply(X3,sk_c8) != sk_c9
| multiply(X4,sk_c8) != sk_c9
| multiply(X5,sk_c8) != sk_c9
| inverse(sk_c9) != sk_c8
| inverse(X3) != sk_c8
| inverse(X4) != sk_c9
| inverse(X1) != sk_c9
| inverse(X5) != sk_c9 ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_103])]) ).
cnf(c_0_107,plain,
multiply(X1,sk_c9) = X1,
inference(rw,[status(thm)],[c_0_37,c_0_102]) ).
cnf(c_0_108,negated_conjecture,
multiply(sk_c9,X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_101]),c_0_23]) ).
cnf(c_0_109,plain,
multiply(X1,inverse(X1)) = sk_c9,
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_110,plain,
inverse(sk_c9) = sk_c9,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_102]),c_0_102]) ).
cnf(c_0_111,negated_conjecture,
inverse(X1) != sk_c9,
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(cn,[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)],[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_106,c_0_101]),c_0_101]),c_0_101]),c_0_101]),c_0_101]),c_0_101]),c_0_101]),c_0_101]),c_0_107]),c_0_108]),c_0_107]),c_0_109]),c_0_107]),c_0_107]),c_0_107]),c_0_110])])])])])]),c_0_110])]) ).
cnf(c_0_112,plain,
$false,
inference(sr,[status(thm)],[c_0_110,c_0_111]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP239-1 : 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
% 0.15/0.33 % Computer : n022.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 18:30:21 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 28.31/17.32 % Version : CSE_E---1.7
% 28.31/17.32 % Problem : theBenchmark.p
% 28.31/17.32 % SZS status Unsatisfiable for theBenchmark.p
% 28.31/17.32 % SZS output start CNFRefutation
% See solution above
% 28.41/17.45 % Total time : 12.394s
%------------------------------------------------------------------------------