%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GRP254-1 : 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 : n023.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 04:24:56 PM UTC 2026
% Result : Unsatisfiable 2.08s 1.94s
% Output : CNFRefutation 2.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 16
% Syntax : Number of clauses : 82 ( 21 unt; 53 nHn; 67 RR)
% Number of literals : 243 ( 242 equ; 113 neg)
% Maximal clause size : 16 ( 2 avg)
% Maximal term depth : 4 ( 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 : 72 ( 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_23,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c10
| multiply(sk_c5,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
cnf(prove_this_24,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c10
| inverse(sk_c5) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
cnf(prove_this_33,negated_conjecture,
( inverse(sk_c2) = sk_c11
| multiply(sk_c5,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
cnf(prove_this_34,negated_conjecture,
( inverse(sk_c2) = sk_c11
| inverse(sk_c5) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
cnf(prove_this_45,negated_conjecture,
( inverse(sk_c3) = sk_c10
| multiply(sk_c6,sk_c9) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_45) ).
cnf(prove_this_55,negated_conjecture,
( multiply(sk_c3,sk_c12) = sk_c10
| multiply(sk_c6,sk_c9) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_55) ).
cnf(prove_this_56,negated_conjecture,
( multiply(sk_c3,sk_c12) = sk_c10
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_56) ).
cnf(prove_this_46,negated_conjecture,
( inverse(sk_c3) = sk_c10
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).
cnf(prove_this_1,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| multiply(sk_c4,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
cnf(prove_this_12,negated_conjecture,
( inverse(sk_c1) = sk_c12
| inverse(sk_c4) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
cnf(prove_this_61,negated_conjecture,
( multiply(X1,sk_c12) != sk_c11
| inverse(X1) != sk_c12
| multiply(X2,sk_c11) != sk_c10
| inverse(X2) != sk_c11
| inverse(X3) != sk_c10
| multiply(X3,sk_c12) != sk_c10
| multiply(X4,sk_c12) != sk_c11
| inverse(X4) != sk_c12
| multiply(X5,sk_c11) != sk_c10
| inverse(X5) != sk_c11
| multiply(X6,X7) != sk_c12
| inverse(X6) != X7
| multiply(X7,sk_c11) != sk_c12
| inverse(X8) != X9
| inverse(X9) != X7
| multiply(X8,X7) != X9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_61) ).
cnf(prove_this_2,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| inverse(sk_c4) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
cnf(prove_this_11,negated_conjecture,
( inverse(sk_c1) = sk_c12
| multiply(sk_c4,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
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_c2,sk_c11) = sk_c10
| multiply(sk_c5,sk_c11) = sk_c10 ),
prove_this_23 ).
cnf(c_0_21,negated_conjecture,
( multiply(inverse(sk_c5),sk_c10) = sk_c11
| multiply(sk_c2,sk_c11) = sk_c10 ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_22,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c10
| inverse(sk_c5) = sk_c11 ),
prove_this_24 ).
cnf(c_0_23,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c10
| multiply(sk_c11,sk_c10) = sk_c11 ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_24,negated_conjecture,
( multiply(inverse(sk_c2),sk_c10) = sk_c11
| multiply(sk_c11,sk_c10) = sk_c11 ),
inference(spm,[status(thm)],[c_0_19,c_0_23]) ).
cnf(c_0_25,negated_conjecture,
( inverse(sk_c2) = sk_c11
| multiply(sk_c5,sk_c11) = sk_c10 ),
prove_this_33 ).
cnf(c_0_26,negated_conjecture,
( multiply(sk_c5,sk_c11) = sk_c10
| multiply(sk_c11,sk_c10) = sk_c11 ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_27,negated_conjecture,
( multiply(inverse(sk_c5),sk_c10) = sk_c11
| multiply(sk_c11,sk_c10) = sk_c11 ),
inference(spm,[status(thm)],[c_0_19,c_0_26]) ).
cnf(c_0_28,negated_conjecture,
( inverse(sk_c2) = sk_c11
| inverse(sk_c5) = sk_c11 ),
prove_this_34 ).
cnf(c_0_29,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c11
| inverse(sk_c2) = sk_c11 ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_30,negated_conjecture,
( inverse(sk_c3) = sk_c10
| multiply(sk_c6,sk_c9) = sk_c12 ),
prove_this_45 ).
cnf(c_0_31,negated_conjecture,
multiply(sk_c11,sk_c10) = sk_c11,
inference(spm,[status(thm)],[c_0_24,c_0_29]) ).
cnf(c_0_32,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c12
| multiply(sk_c10,sk_c3) = identity ),
inference(spm,[status(thm)],[c_0_17,c_0_30]) ).
cnf(c_0_33,negated_conjecture,
identity = sk_c10,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_31]),c_0_17]) ).
cnf(c_0_34,negated_conjecture,
( multiply(sk_c3,sk_c12) = sk_c10
| multiply(sk_c6,sk_c9) = sk_c12 ),
prove_this_55 ).
cnf(c_0_35,negated_conjecture,
( multiply(sk_c10,sk_c3) = sk_c10
| multiply(sk_c6,sk_c9) = sk_c12 ),
inference(rw,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_36,plain,
multiply(sk_c10,X1) = X1,
inference(rw,[status(thm)],[c_0_18,c_0_33]) ).
cnf(c_0_37,negated_conjecture,
( multiply(inverse(sk_c6),sk_c12) = sk_c9
| multiply(sk_c3,sk_c12) = sk_c10 ),
inference(spm,[status(thm)],[c_0_19,c_0_34]) ).
cnf(c_0_38,negated_conjecture,
( multiply(sk_c3,sk_c12) = sk_c10
| inverse(sk_c6) = sk_c9 ),
prove_this_56 ).
cnf(c_0_39,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c12
| sk_c3 = sk_c10 ),
inference(rw,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_40,negated_conjecture,
( multiply(sk_c3,sk_c12) = sk_c10
| multiply(sk_c9,sk_c12) = sk_c9 ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_41,negated_conjecture,
( multiply(inverse(sk_c6),sk_c12) = sk_c9
| sk_c3 = sk_c10 ),
inference(spm,[status(thm)],[c_0_19,c_0_39]) ).
cnf(c_0_42,negated_conjecture,
( inverse(sk_c3) = sk_c10
| inverse(sk_c6) = sk_c9 ),
prove_this_46 ).
cnf(c_0_43,negated_conjecture,
( multiply(inverse(sk_c3),sk_c10) = sk_c12
| multiply(sk_c9,sk_c12) = sk_c9 ),
inference(spm,[status(thm)],[c_0_19,c_0_40]) ).
cnf(c_0_44,negated_conjecture,
( multiply(sk_c9,sk_c12) = sk_c9
| inverse(sk_c3) = sk_c10
| sk_c3 = sk_c10 ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_45,negated_conjecture,
( multiply(sk_c9,sk_c12) = sk_c9
| sk_c3 = sk_c10
| sk_c10 = sk_c12 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_36]) ).
cnf(c_0_46,negated_conjecture,
( multiply(inverse(sk_c9),sk_c9) = sk_c12
| sk_c10 = sk_c12
| sk_c3 = sk_c10 ),
inference(spm,[status(thm)],[c_0_19,c_0_45]) ).
cnf(c_0_47,plain,
multiply(inverse(X1),X1) = sk_c10,
inference(rw,[status(thm)],[c_0_17,c_0_33]) ).
cnf(c_0_48,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| multiply(sk_c4,sk_c12) = sk_c11 ),
prove_this_1 ).
cnf(c_0_49,negated_conjecture,
( sk_c3 = sk_c10
| sk_c10 = sk_c12 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_47])]) ).
cnf(c_0_50,negated_conjecture,
( inverse(sk_c1) = sk_c12
| inverse(sk_c4) = sk_c12 ),
prove_this_12 ).
cnf(c_0_51,negated_conjecture,
( multiply(X1,sk_c12) != sk_c11
| inverse(X1) != sk_c12
| multiply(X2,sk_c11) != sk_c10
| inverse(X2) != sk_c11
| inverse(X3) != sk_c10
| multiply(X3,sk_c12) != sk_c10
| multiply(X4,sk_c12) != sk_c11
| inverse(X4) != sk_c12
| multiply(X5,sk_c11) != sk_c10
| inverse(X5) != sk_c11
| multiply(X6,X7) != sk_c12
| inverse(X6) != X7
| multiply(X7,sk_c11) != sk_c12
| inverse(X8) != X9
| inverse(X9) != X7
| multiply(X8,X7) != X9 ),
prove_this_61 ).
cnf(c_0_52,negated_conjecture,
( multiply(inverse(sk_c4),sk_c11) = sk_c12
| multiply(sk_c1,sk_c12) = sk_c11 ),
inference(spm,[status(thm)],[c_0_19,c_0_48]) ).
cnf(c_0_53,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| inverse(sk_c4) = sk_c12 ),
prove_this_2 ).
cnf(c_0_54,negated_conjecture,
( multiply(sk_c9,sk_c12) = sk_c9
| sk_c10 = sk_c12 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_49]),c_0_36])]) ).
cnf(c_0_55,negated_conjecture,
( multiply(sk_c12,sk_c4) = identity
| inverse(sk_c1) = sk_c12 ),
inference(spm,[status(thm)],[c_0_17,c_0_50]) ).
cnf(c_0_56,negated_conjecture,
( inverse(multiply(X1,inverse(X2))) != inverse(X2)
| multiply(inverse(X2),sk_c11) != sk_c12
| multiply(X1,inverse(X2)) != inverse(X1)
| multiply(X2,inverse(X2)) != sk_c12
| multiply(X3,sk_c11) != sk_c10
| multiply(X4,sk_c12) != sk_c11
| multiply(X5,sk_c12) != sk_c10
| multiply(X6,sk_c11) != sk_c10
| multiply(X7,sk_c12) != sk_c11
| inverse(X3) != sk_c11
| inverse(X4) != sk_c12
| inverse(X5) != sk_c10
| inverse(X6) != sk_c11
| inverse(X7) != sk_c12 ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_51])]) ).
cnf(c_0_57,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| multiply(sk_c12,sk_c11) = sk_c12 ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_58,negated_conjecture,
sk_c10 = sk_c12,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_54]),c_0_47])]) ).
cnf(c_0_59,negated_conjecture,
( multiply(sk_c12,sk_c4) = sk_c10
| inverse(sk_c1) = sk_c12 ),
inference(rw,[status(thm)],[c_0_55,c_0_33]) ).
cnf(c_0_60,negated_conjecture,
( multiply(inverse(X1),sk_c11) != sk_c12
| inverse(inverse(X1)) != inverse(X1)
| multiply(X1,inverse(X1)) != sk_c12
| inverse(X1) != inverse(identity)
| multiply(X2,sk_c11) != sk_c10
| multiply(X3,sk_c12) != sk_c11
| multiply(X4,sk_c12) != sk_c10
| multiply(X5,sk_c11) != sk_c10
| multiply(X6,sk_c12) != sk_c11
| inverse(X2) != sk_c11
| inverse(X3) != sk_c12
| inverse(X4) != sk_c10
| inverse(X5) != sk_c11
| inverse(X6) != sk_c12 ),
inference(spm,[status(thm)],[c_0_56,c_0_18]) ).
cnf(c_0_61,negated_conjecture,
( multiply(inverse(sk_c1),sk_c11) = sk_c12
| multiply(sk_c12,sk_c11) = sk_c12 ),
inference(spm,[status(thm)],[c_0_19,c_0_57]) ).
cnf(c_0_62,negated_conjecture,
( inverse(sk_c1) = sk_c12
| multiply(sk_c4,sk_c12) = sk_c11 ),
prove_this_11 ).
cnf(c_0_63,plain,
multiply(sk_c12,X1) = X1,
inference(rw,[status(thm)],[c_0_36,c_0_58]) ).
cnf(c_0_64,negated_conjecture,
( multiply(sk_c12,sk_c4) = sk_c12
| inverse(sk_c1) = sk_c12 ),
inference(rw,[status(thm)],[c_0_59,c_0_58]) ).
cnf(c_0_65,negated_conjecture,
( inverse(inverse(sk_c11)) != inverse(sk_c11)
| multiply(sk_c11,inverse(sk_c11)) != sk_c12
| inverse(identity) != inverse(sk_c11)
| multiply(X1,sk_c11) != sk_c10
| multiply(X2,sk_c12) != sk_c11
| multiply(X3,sk_c12) != sk_c10
| multiply(X4,sk_c11) != sk_c10
| multiply(X5,sk_c12) != sk_c11
| inverse(X1) != sk_c11
| inverse(X2) != sk_c12
| inverse(X3) != sk_c10
| inverse(X4) != sk_c11
| inverse(X5) != sk_c12
| identity != sk_c12 ),
inference(spm,[status(thm)],[c_0_60,c_0_17]) ).
cnf(c_0_66,negated_conjecture,
( multiply(sk_c4,sk_c12) = sk_c11
| multiply(sk_c12,sk_c11) = sk_c12 ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_67,negated_conjecture,
( multiply(inverse(sk_c1),sk_c11) = sk_c12
| sk_c11 = sk_c12 ),
inference(rw,[status(thm)],[c_0_61,c_0_63]) ).
cnf(c_0_68,negated_conjecture,
( inverse(sk_c1) = sk_c12
| sk_c4 = sk_c12 ),
inference(rw,[status(thm)],[c_0_64,c_0_63]) ).
cnf(c_0_69,negated_conjecture,
( inverse(inverse(sk_c11)) != inverse(sk_c11)
| multiply(sk_c11,inverse(sk_c11)) != sk_c12
| inverse(sk_c10) != inverse(sk_c11)
| multiply(X1,sk_c11) != sk_c10
| multiply(X2,sk_c12) != sk_c11
| multiply(X3,sk_c12) != sk_c10
| multiply(X4,sk_c11) != sk_c10
| multiply(X5,sk_c12) != sk_c11
| inverse(X1) != sk_c11
| inverse(X2) != sk_c12
| inverse(X3) != sk_c10
| inverse(X4) != sk_c11
| inverse(X5) != sk_c12
| sk_c10 != sk_c12 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_33]),c_0_33]) ).
cnf(c_0_70,negated_conjecture,
( multiply(sk_c4,sk_c12) = sk_c11
| sk_c11 = sk_c12 ),
inference(rw,[status(thm)],[c_0_66,c_0_63]) ).
cnf(c_0_71,negated_conjecture,
( sk_c4 = sk_c12
| sk_c11 = sk_c12 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_63])]) ).
cnf(c_0_72,plain,
multiply(inverse(sk_c10),X1) = X1,
inference(spm,[status(thm)],[c_0_19,c_0_36]) ).
cnf(c_0_73,plain,
multiply(inverse(X1),X1) = sk_c12,
inference(rw,[status(thm)],[c_0_47,c_0_58]) ).
cnf(c_0_74,plain,
multiply(inverse(inverse(X1)),X2) = multiply(X1,X2),
inference(spm,[status(thm)],[c_0_19,c_0_19]) ).
cnf(c_0_75,negated_conjecture,
( inverse(inverse(sk_c11)) != inverse(sk_c11)
| multiply(sk_c11,inverse(sk_c11)) != sk_c12
| inverse(sk_c11) != inverse(sk_c12)
| multiply(X1,sk_c11) != sk_c12
| multiply(X2,sk_c12) != sk_c11
| multiply(X3,sk_c12) != sk_c12
| multiply(X4,sk_c11) != sk_c12
| multiply(X5,sk_c12) != sk_c11
| inverse(X1) != sk_c11
| inverse(X2) != sk_c12
| inverse(X3) != sk_c12
| inverse(X4) != sk_c11
| inverse(X5) != sk_c12 ),
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)],[c_0_69,c_0_58]),c_0_58]),c_0_58]),c_0_58]),c_0_58]),c_0_58])]) ).
cnf(c_0_76,negated_conjecture,
sk_c11 = sk_c12,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_63])]) ).
cnf(c_0_77,plain,
multiply(inverse(sk_c12),X1) = X1,
inference(rw,[status(thm)],[c_0_72,c_0_58]) ).
cnf(c_0_78,plain,
multiply(X1,sk_c12) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_73]),c_0_74]) ).
cnf(c_0_79,negated_conjecture,
( inverse(inverse(sk_c12)) != inverse(sk_c12)
| multiply(X1,sk_c12) != sk_c12
| multiply(X2,sk_c12) != sk_c12
| multiply(X3,sk_c12) != sk_c12
| multiply(X4,sk_c12) != sk_c12
| multiply(X5,sk_c12) != sk_c12
| inverse(sk_c12) != sk_c12
| inverse(X1) != sk_c12
| inverse(X2) != sk_c12
| inverse(X3) != sk_c12
| inverse(X4) != sk_c12
| inverse(X5) != sk_c12 ),
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)],[c_0_75,c_0_76]),c_0_76]),c_0_76]),c_0_76]),c_0_63]),c_0_76]),c_0_76]),c_0_76]),c_0_76]),c_0_76]),c_0_76]),c_0_76])]) ).
cnf(c_0_80,plain,
inverse(sk_c12) = sk_c12,
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_81,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[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)],[c_0_79,c_0_78]),c_0_78]),c_0_78]),c_0_78]),c_0_78])])])])])]),c_0_80]),c_0_80]),c_0_80]),c_0_80])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP254-1 : 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
% 0.17/0.33 % Computer : n023.cluster.edu
% 0.17/0.33 % Model : x86_64 x86_64
% 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33 % Memory : 8042.1875MB
% 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33 % CPULimit : 300
% 0.17/0.33 % WCLimit : 300
% 0.17/0.33 % DateTime : Mon May 4 18:30:38 EDT 2026
% 0.17/0.33 % CPUTime :
% 0.17/0.35 % start to proof: theBenchmark
% 2.08/1.94 % Version : CSE_E---1.7
% 2.08/1.94 % Problem : theBenchmark.p
% 2.08/1.94 % SZS status Unsatisfiable for theBenchmark.p
% 2.08/1.94 % SZS output start CNFRefutation
% See solution above
% 2.08/1.94 % Total time : 1.372s
%------------------------------------------------------------------------------