%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GRP378-1 : 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 04:25:58 PM UTC 2026
% Result : Unsatisfiable 63.60s 37.69s
% Output : CNFRefutation 63.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 17
% Syntax : Number of clauses : 105 ( 24 unt; 63 nHn; 82 RR)
% Number of literals : 241 ( 240 equ; 81 neg)
% Maximal clause size : 15 ( 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 : 68 ( 6 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_25,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c11
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
cnf(prove_this_13,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
cnf(prove_this_17,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(sk_c8,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
cnf(prove_this_14,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
cnf(prove_this_26,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c11
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
cnf(prove_this_35,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
cnf(prove_this_36,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
cnf(prove_this_45,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c11
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_45) ).
cnf(prove_this_46,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c11
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).
cnf(prove_this_41,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c11
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
cnf(prove_this_2,negated_conjecture,
( inverse(sk_c11) = sk_c10
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
cnf(prove_this_42,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c11
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
cnf(prove_this_51,negated_conjecture,
( inverse(sk_c11) != sk_c10
| multiply(sk_c11,sk_c9) != sk_c10
| multiply(X1,X2) != sk_c11
| inverse(X1) != X2
| multiply(X2,sk_c10) != sk_c11
| multiply(X3,sk_c11) != sk_c10
| inverse(X3) != sk_c11
| multiply(X4,sk_c10) != sk_c9
| inverse(X4) != sk_c10
| multiply(X5,X6) != sk_c11
| inverse(X5) != X6
| multiply(X6,sk_c10) != sk_c11
| inverse(X7) != X8
| inverse(X8) != X6
| multiply(X7,X6) != X8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_51) ).
cnf(prove_this_1,negated_conjecture,
( inverse(sk_c11) = sk_c10
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_0_17,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
associativity ).
cnf(c_0_18,axiom,
multiply(inverse(X1),X1) = identity,
left_inverse ).
cnf(c_0_19,axiom,
multiply(identity,X1) = X1,
left_identity ).
cnf(c_0_20,plain,
multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).
cnf(c_0_21,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c11
| multiply(sk_c5,sk_c8) = sk_c11 ),
prove_this_25 ).
cnf(c_0_22,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(sk_c4,sk_c10) = sk_c9 ),
prove_this_13 ).
cnf(c_0_23,negated_conjecture,
( multiply(inverse(sk_c5),sk_c11) = sk_c8
| multiply(sk_c1,sk_c2) = sk_c11 ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(sk_c8,sk_c10) = sk_c11 ),
prove_this_17 ).
cnf(c_0_25,negated_conjecture,
( multiply(inverse(sk_c4),sk_c9) = sk_c10
| multiply(sk_c11,sk_c9) = sk_c10 ),
inference(spm,[status(thm)],[c_0_20,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| inverse(sk_c4) = sk_c10 ),
prove_this_14 ).
cnf(c_0_27,negated_conjecture,
( multiply(inverse(inverse(sk_c5)),sk_c8) = sk_c11
| multiply(sk_c1,sk_c2) = sk_c11 ),
inference(spm,[status(thm)],[c_0_20,c_0_23]) ).
cnf(c_0_28,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c11
| inverse(sk_c5) = sk_c8 ),
prove_this_26 ).
cnf(c_0_29,negated_conjecture,
( multiply(sk_c8,multiply(sk_c10,X1)) = multiply(sk_c11,X1)
| multiply(sk_c11,sk_c9) = sk_c10 ),
inference(spm,[status(thm)],[c_0_17,c_0_24]) ).
cnf(c_0_30,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(sk_c10,sk_c9) = sk_c10 ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c11
| identity = sk_c11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_18]) ).
cnf(c_0_32,plain,
multiply(inverse(inverse(X1)),X2) = multiply(X1,X2),
inference(spm,[status(thm)],[c_0_20,c_0_20]) ).
cnf(c_0_33,negated_conjecture,
( multiply(sk_c8,sk_c10) = multiply(sk_c11,sk_c9)
| multiply(sk_c11,sk_c9) = sk_c10 ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_34,negated_conjecture,
( multiply(inverse(sk_c1),sk_c11) = sk_c2
| identity = sk_c11 ),
inference(spm,[status(thm)],[c_0_20,c_0_31]) ).
cnf(c_0_35,plain,
multiply(X1,identity) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_18]),c_0_32]) ).
cnf(c_0_36,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c11
| multiply(sk_c11,sk_c9) = sk_c10 ),
inference(spm,[status(thm)],[c_0_24,c_0_33]) ).
cnf(c_0_37,negated_conjecture,
( multiply(inverse(inverse(sk_c1)),sk_c2) = sk_c11
| identity = sk_c11 ),
inference(spm,[status(thm)],[c_0_20,c_0_34]) ).
cnf(c_0_38,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c5,sk_c8) = sk_c11 ),
prove_this_35 ).
cnf(c_0_39,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X3))) = X3,
inference(spm,[status(thm)],[c_0_20,c_0_17]) ).
cnf(c_0_40,plain,
inverse(inverse(X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_35]),c_0_35]) ).
cnf(c_0_41,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c5) = sk_c8 ),
prove_this_36 ).
cnf(c_0_42,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c11
| multiply(sk_c5,sk_c8) = sk_c11 ),
prove_this_45 ).
cnf(c_0_43,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c11
| sk_c10 != sk_c11 ),
inference(ef,[status(thm)],[c_0_36]) ).
cnf(c_0_44,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| identity = sk_c11 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_18])]) ).
cnf(c_0_45,negated_conjecture,
( multiply(inverse(multiply(X1,inverse(sk_c1))),multiply(X1,sk_c2)) = sk_c11
| identity = sk_c11 ),
inference(spm,[status(thm)],[c_0_39,c_0_34]) ).
cnf(c_0_46,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c8) = sk_c5 ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_47,negated_conjecture,
( multiply(inverse(sk_c5),sk_c11) = sk_c8
| multiply(sk_c2,sk_c10) = sk_c11 ),
inference(spm,[status(thm)],[c_0_20,c_0_42]) ).
cnf(c_0_48,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c11
| inverse(sk_c5) = sk_c8 ),
prove_this_46 ).
cnf(c_0_49,negated_conjecture,
( identity = sk_c9
| sk_c10 != sk_c11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_43]),c_0_18]) ).
cnf(c_0_50,negated_conjecture,
( multiply(inverse(sk_c5),sk_c11) = sk_c8
| identity = sk_c11 ),
inference(spm,[status(thm)],[c_0_20,c_0_44]) ).
cnf(c_0_51,negated_conjecture,
( inverse(sk_c8) = sk_c5
| identity = sk_c11 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_18])]) ).
cnf(c_0_52,negated_conjecture,
( multiply(sk_c5,multiply(sk_c8,X1)) = multiply(sk_c11,X1)
| multiply(sk_c2,sk_c10) = sk_c11 ),
inference(spm,[status(thm)],[c_0_17,c_0_42]) ).
cnf(c_0_53,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c11
| multiply(sk_c8,sk_c11) = sk_c8 ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_54,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c11
| multiply(sk_c3,sk_c11) = sk_c10 ),
prove_this_41 ).
cnf(c_0_55,negated_conjecture,
( multiply(sk_c9,X1) = X1
| sk_c10 != sk_c11 ),
inference(spm,[status(thm)],[c_0_19,c_0_49]) ).
cnf(c_0_56,plain,
multiply(inverse(identity),X1) = X1,
inference(spm,[status(thm)],[c_0_20,c_0_19]) ).
cnf(c_0_57,negated_conjecture,
( multiply(inverse(multiply(X1,inverse(sk_c5))),multiply(X1,sk_c8)) = sk_c11
| identity = sk_c11 ),
inference(spm,[status(thm)],[c_0_39,c_0_50]) ).
cnf(c_0_58,negated_conjecture,
( inverse(sk_c5) = sk_c8
| identity = sk_c11 ),
inference(spm,[status(thm)],[c_0_40,c_0_51]) ).
cnf(c_0_59,negated_conjecture,
( multiply(sk_c5,sk_c8) = multiply(sk_c11,sk_c11)
| multiply(sk_c2,sk_c10) = sk_c11 ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_60,negated_conjecture,
( multiply(inverse(sk_c3),sk_c10) = sk_c11
| multiply(sk_c2,sk_c10) = sk_c11 ),
inference(spm,[status(thm)],[c_0_20,c_0_54]) ).
cnf(c_0_61,negated_conjecture,
( multiply(inverse(sk_c9),X1) = X1
| sk_c10 != sk_c11 ),
inference(spm,[status(thm)],[c_0_20,c_0_55]) ).
cnf(c_0_62,negated_conjecture,
( inverse(sk_c11) = sk_c10
| inverse(sk_c3) = sk_c11 ),
prove_this_2 ).
cnf(c_0_63,plain,
inverse(identity) = identity,
inference(spm,[status(thm)],[c_0_56,c_0_35]) ).
cnf(c_0_64,negated_conjecture,
identity = sk_c11,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_18])]) ).
cnf(c_0_65,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c11
| multiply(sk_c11,sk_c11) = sk_c11 ),
inference(spm,[status(thm)],[c_0_42,c_0_59]) ).
cnf(c_0_66,negated_conjecture,
( multiply(inverse(inverse(sk_c3)),sk_c11) = sk_c10
| multiply(sk_c2,sk_c10) = sk_c11 ),
inference(spm,[status(thm)],[c_0_20,c_0_60]) ).
cnf(c_0_67,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c11
| inverse(sk_c3) = sk_c11 ),
prove_this_42 ).
cnf(c_0_68,negated_conjecture,
( multiply(sk_c11,multiply(sk_c9,X1)) = multiply(sk_c11,X1)
| sk_c10 != sk_c11 ),
inference(spm,[status(thm)],[c_0_17,c_0_43]) ).
cnf(c_0_69,plain,
multiply(X1,inverse(X1)) = identity,
inference(spm,[status(thm)],[c_0_18,c_0_40]) ).
cnf(c_0_70,negated_conjecture,
( inverse(sk_c9) = identity
| sk_c10 != sk_c11 ),
inference(spm,[status(thm)],[c_0_61,c_0_35]) ).
cnf(c_0_71,negated_conjecture,
( inverse(sk_c11) = sk_c10
| inverse(sk_c11) = sk_c3 ),
inference(spm,[status(thm)],[c_0_40,c_0_62]) ).
cnf(c_0_72,plain,
inverse(sk_c11) = sk_c11,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_64]),c_0_64]) ).
cnf(c_0_73,negated_conjecture,
( multiply(inverse(sk_c2),sk_c11) = sk_c10
| multiply(sk_c11,sk_c11) = sk_c11 ),
inference(spm,[status(thm)],[c_0_20,c_0_65]) ).
cnf(c_0_74,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c11
| identity = sk_c10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_18]) ).
cnf(c_0_75,negated_conjecture,
( multiply(sk_c11,inverse(sk_c9)) = sk_c11
| sk_c10 != sk_c11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_35]) ).
cnf(c_0_76,negated_conjecture,
( inverse(sk_c9) = sk_c11
| sk_c10 != sk_c11 ),
inference(rw,[status(thm)],[c_0_70,c_0_64]) ).
cnf(c_0_77,negated_conjecture,
( inverse(sk_c11) != sk_c10
| multiply(sk_c11,sk_c9) != sk_c10
| multiply(X1,X2) != sk_c11
| inverse(X1) != X2
| multiply(X2,sk_c10) != sk_c11
| multiply(X3,sk_c11) != sk_c10
| inverse(X3) != sk_c11
| multiply(X4,sk_c10) != sk_c9
| inverse(X4) != sk_c10
| multiply(X5,X6) != sk_c11
| inverse(X5) != X6
| multiply(X6,sk_c10) != sk_c11
| inverse(X7) != X8
| inverse(X8) != X6
| multiply(X7,X6) != X8 ),
prove_this_51 ).
cnf(c_0_78,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| identity = sk_c9 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_30]),c_0_18]) ).
cnf(c_0_79,negated_conjecture,
( inverse(sk_c11) = sk_c10
| multiply(sk_c3,sk_c11) = sk_c10 ),
prove_this_1 ).
cnf(c_0_80,negated_conjecture,
( inverse(sk_c11) = sk_c3
| sk_c10 = sk_c11 ),
inference(rw,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_81,negated_conjecture,
( multiply(inverse(multiply(X1,inverse(sk_c2))),multiply(X1,sk_c10)) = sk_c11
| multiply(sk_c11,sk_c11) = sk_c11 ),
inference(spm,[status(thm)],[c_0_39,c_0_73]) ).
cnf(c_0_82,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c11
| sk_c10 = sk_c11 ),
inference(rw,[status(thm)],[c_0_74,c_0_64]) ).
cnf(c_0_83,negated_conjecture,
( multiply(sk_c11,sk_c11) = sk_c11
| sk_c10 != sk_c11 ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_84,negated_conjecture,
( inverse(multiply(X1,inverse(X2))) != inverse(X2)
| multiply(inverse(X2),sk_c10) != sk_c11
| multiply(inverse(X3),sk_c10) != sk_c11
| multiply(X1,inverse(X2)) != inverse(X1)
| multiply(sk_c11,sk_c9) != sk_c10
| multiply(X2,inverse(X2)) != sk_c11
| multiply(X3,inverse(X3)) != sk_c11
| multiply(X4,sk_c10) != sk_c9
| multiply(X5,sk_c11) != sk_c10
| inverse(sk_c11) != sk_c10
| inverse(X4) != sk_c10
| inverse(X5) != sk_c11 ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_77])])]) ).
cnf(c_0_85,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| sk_c9 = sk_c11 ),
inference(rw,[status(thm)],[c_0_78,c_0_64]) ).
cnf(c_0_86,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| sk_c10 = sk_c11 ),
inference(spm,[status(thm)],[c_0_79,c_0_72]) ).
cnf(c_0_87,negated_conjecture,
( sk_c10 = sk_c11
| sk_c3 = sk_c11 ),
inference(spm,[status(thm)],[c_0_72,c_0_80]) ).
cnf(c_0_88,negated_conjecture,
multiply(sk_c11,sk_c11) = sk_c11,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_69]),c_0_64]),c_0_72])]),c_0_83]) ).
cnf(c_0_89,negated_conjecture,
( inverse(multiply(X1,inverse(X2))) != inverse(X2)
| multiply(inverse(X2),sk_c10) != sk_c11
| multiply(inverse(X3),sk_c10) != sk_c11
| multiply(X1,inverse(X2)) != inverse(X1)
| multiply(sk_c11,sk_c9) != sk_c10
| multiply(X4,sk_c10) != sk_c9
| multiply(X5,sk_c11) != sk_c10
| inverse(sk_c11) != sk_c10
| inverse(X4) != sk_c10
| inverse(X5) != sk_c11
| identity != sk_c11 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_69]),c_0_69])]) ).
cnf(c_0_90,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c9
| sk_c9 = sk_c11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_85]),c_0_72]) ).
cnf(c_0_91,negated_conjecture,
sk_c10 = sk_c11,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88])]) ).
cnf(c_0_92,negated_conjecture,
( inverse(multiply(X1,inverse(X2))) != inverse(X2)
| multiply(inverse(X2),sk_c10) != sk_c11
| multiply(inverse(X3),sk_c10) != sk_c11
| multiply(X1,inverse(X2)) != inverse(X1)
| multiply(sk_c11,sk_c9) != sk_c10
| multiply(X4,sk_c10) != sk_c9
| multiply(X5,sk_c11) != sk_c10
| inverse(X4) != sk_c10
| inverse(X5) != sk_c11
| sk_c10 != sk_c11 ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_64])]),c_0_72]) ).
cnf(c_0_93,plain,
multiply(X1,sk_c11) = X1,
inference(rw,[status(thm)],[c_0_35,c_0_64]) ).
cnf(c_0_94,negated_conjecture,
sk_c9 = sk_c11,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_91]),c_0_88])]) ).
cnf(c_0_95,negated_conjecture,
( multiply(sk_c3,sk_c11) = identity
| inverse(sk_c11) = sk_c10 ),
inference(spm,[status(thm)],[c_0_18,c_0_71]) ).
cnf(c_0_96,negated_conjecture,
( inverse(sk_c11) = sk_c10
| sk_c3 != sk_c10 ),
inference(ef,[status(thm)],[c_0_71]) ).
cnf(c_0_97,negated_conjecture,
( inverse(multiply(X1,inverse(X2))) != inverse(X2)
| multiply(X1,inverse(X2)) != inverse(X1)
| inverse(X2) != sk_c11
| inverse(X3) != sk_c11 ),
inference(cn,[status(thm)],[inference(rw,[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(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)],[c_0_92,c_0_91]),c_0_91]),c_0_91]),c_0_91]),c_0_91]),c_0_91]),c_0_91])]),c_0_93]),c_0_93]),c_0_94]),c_0_93]),c_0_93]),c_0_94]),c_0_93])])])]),c_0_72])]) ).
cnf(c_0_98,plain,
multiply(inverse(X1),X1) = sk_c11,
inference(rw,[status(thm)],[c_0_18,c_0_64]) ).
cnf(c_0_99,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c11
| inverse(sk_c11) = sk_c11 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_64]),c_0_91]) ).
cnf(c_0_100,negated_conjecture,
( inverse(sk_c11) = sk_c11
| sk_c3 != sk_c11 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_91]),c_0_91]) ).
cnf(c_0_101,negated_conjecture,
( inverse(X1) != sk_c11
| inverse(X2) != sk_c11 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_72]),c_0_40])]) ).
cnf(c_0_102,negated_conjecture,
inverse(sk_c11) = sk_c11,
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_93]),c_0_100]) ).
cnf(c_0_103,negated_conjecture,
inverse(X1) != sk_c11,
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_104,plain,
$false,
inference(sr,[status(thm)],[c_0_72,c_0_103]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP378-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.11 % 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
% 0.15/0.32 % Computer : n011.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Mon May 4 18:32:47 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 63.60/37.69 % Version : CSE_E---1.7
% 63.60/37.69 % Problem : theBenchmark.p
% 63.60/37.69 % SZS status Unsatisfiable for theBenchmark.p
% 63.60/37.69 % SZS output start CNFRefutation
% See solution above
% 63.89/37.98 % Total time : 27.426s
%------------------------------------------------------------------------------