%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KLE028+3 : TPTP v9.2.1. Released v4.0.0.
% 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 : n025.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 04:35:32 PM UTC 2026
% Result : Theorem 3.99s 3.26s
% Output : CNFRefutation 3.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 78 ( 54 unt; 0 def)
% Number of atoms : 129 ( 75 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 91 ( 40 ~; 32 |; 12 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 94 ( 1 sgn 50 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(test_3,axiom,
! [X4,X5] :
( test(X4)
=> ( c(X4) = X5
<=> complement(X4,X5) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_3) ).
fof(goals,conjecture,
! [X4,X5,X6,X7,X8,X9] :
( ( test(X8)
& test(X9) )
=> addition(multiplication(X8,addition(multiplication(X9,X4),multiplication(c(X9),X5))),multiplication(c(X8),addition(multiplication(X9,X6),multiplication(c(X9),X7)))) = addition(multiplication(X9,addition(multiplication(X8,X4),multiplication(c(X8),X6))),multiplication(c(X9),addition(multiplication(X8,X5),multiplication(c(X8),X7)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(test_2,axiom,
! [X4,X5] :
( complement(X5,X4)
<=> ( multiplication(X4,X5) = zero
& multiplication(X5,X4) = zero
& addition(X4,X5) = one ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_2) ).
fof(additive_commutativity,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_commutativity) ).
fof(test_deMorgan1,axiom,
! [X4,X5] :
( ( test(X4)
& test(X5) )
=> c(addition(X4,X5)) = multiplication(c(X4),c(X5)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+2.ax',test_deMorgan1) ).
fof(test_1,axiom,
! [X4] :
( test(X4)
<=> ? [X5] : complement(X5,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_1) ).
fof(right_distributivity,axiom,
! [X1,X2,X3] : multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',right_distributivity) ).
fof(additive_associativity,axiom,
! [X3,X2,X1] : addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_associativity) ).
fof(multiplicative_associativity,axiom,
! [X1,X2,X3] : multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_associativity) ).
fof(c_0_9,plain,
! [X77,X78] :
( ( c(X77) != X78
| complement(X77,X78)
| ~ test(X77) )
& ( ~ complement(X77,X78)
| c(X77) = X78
| ~ test(X77) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[test_3])])]) ).
fof(c_0_10,negated_conjecture,
~ ! [X4,X5,X6,X7,X8,X9] :
( ( test(X8)
& test(X9) )
=> addition(multiplication(X8,addition(multiplication(X9,X4),multiplication(c(X9),X5))),multiplication(c(X8),addition(multiplication(X9,X6),multiplication(c(X9),X7)))) = addition(multiplication(X9,addition(multiplication(X8,X4),multiplication(c(X8),X6))),multiplication(c(X9),addition(multiplication(X8,X5),multiplication(c(X8),X7)))) ),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_0_11,plain,
( complement(X1,X2)
| c(X1) != X2
| ~ test(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_12,negated_conjecture,
( test(esk6_0)
& test(esk7_0)
& addition(multiplication(esk6_0,addition(multiplication(esk7_0,esk2_0),multiplication(c(esk7_0),esk3_0))),multiplication(c(esk6_0),addition(multiplication(esk7_0,esk4_0),multiplication(c(esk7_0),esk5_0)))) != addition(multiplication(esk7_0,addition(multiplication(esk6_0,esk2_0),multiplication(c(esk6_0),esk4_0))),multiplication(c(esk7_0),addition(multiplication(esk6_0,esk3_0),multiplication(c(esk6_0),esk5_0)))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
fof(c_0_13,plain,
! [X75,X76] :
( ( multiplication(X75,X76) = zero
| ~ complement(X76,X75) )
& ( multiplication(X76,X75) = zero
| ~ complement(X76,X75) )
& ( addition(X75,X76) = one
| ~ complement(X76,X75) )
& ( multiplication(X75,X76) != zero
| multiplication(X76,X75) != zero
| addition(X75,X76) != one
| complement(X76,X75) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[test_2])])]) ).
cnf(c_0_14,plain,
( complement(X1,c(X1))
| ~ test(X1) ),
inference(er,[status(thm)],[c_0_11]) ).
cnf(c_0_15,negated_conjecture,
test(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_16,plain,
! [X49,X50] : addition(X49,X50) = addition(X50,X49),
inference(variable_rename,[status(thm)],[additive_commutativity]) ).
fof(c_0_17,plain,
! [X80,X81] :
( ~ test(X80)
| ~ test(X81)
| c(addition(X80,X81)) = multiplication(c(X80),c(X81)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[test_deMorgan1])]) ).
cnf(c_0_18,plain,
( addition(X1,X2) = one
| ~ complement(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,negated_conjecture,
complement(esk7_0,c(esk7_0)),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,plain,
addition(X1,X2) = addition(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,plain,
( multiplication(X1,X2) = zero
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_22,plain,
( multiplication(X1,X2) = zero
| ~ complement(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_23,plain,
! [X71,X73,X74] :
( ( ~ test(X71)
| complement(esk1_1(X71),X71) )
& ( ~ complement(X74,X73)
| test(X73) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[test_1])])])])]) ).
cnf(c_0_24,negated_conjecture,
test(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_25,plain,
( c(addition(X1,X2)) = multiplication(c(X1),c(X2))
| ~ test(X1)
| ~ test(X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_26,plain,
( complement(X2,X1)
| multiplication(X1,X2) != zero
| multiplication(X2,X1) != zero
| addition(X1,X2) != one ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_27,negated_conjecture,
addition(esk7_0,c(esk7_0)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).
cnf(c_0_28,negated_conjecture,
multiplication(esk7_0,c(esk7_0)) = zero,
inference(spm,[status(thm)],[c_0_21,c_0_19]) ).
cnf(c_0_29,negated_conjecture,
multiplication(c(esk7_0),esk7_0) = zero,
inference(spm,[status(thm)],[c_0_22,c_0_19]) ).
cnf(c_0_30,plain,
( test(X2)
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_31,negated_conjecture,
complement(esk6_0,c(esk6_0)),
inference(spm,[status(thm)],[c_0_14,c_0_24]) ).
fof(c_0_32,plain,
! [X61,X62,X63] : multiplication(X61,addition(X62,X63)) = addition(multiplication(X61,X62),multiplication(X61,X63)),
inference(variable_rename,[status(thm)],[right_distributivity]) ).
fof(c_0_33,plain,
! [X51,X52,X53] : addition(X53,addition(X52,X51)) = addition(addition(X53,X52),X51),
inference(variable_rename,[status(thm)],[additive_associativity]) ).
fof(c_0_34,plain,
! [X56,X57,X58] : multiplication(X56,multiplication(X57,X58)) = multiplication(multiplication(X56,X57),X58),
inference(variable_rename,[status(thm)],[multiplicative_associativity]) ).
cnf(c_0_35,negated_conjecture,
( multiplication(c(X1),c(esk7_0)) = c(addition(X1,esk7_0))
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_15]) ).
cnf(c_0_36,plain,
( c(X1) = X2
| ~ complement(X1,X2)
| ~ test(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_37,negated_conjecture,
complement(c(esk7_0),esk7_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]),c_0_29])]) ).
cnf(c_0_38,negated_conjecture,
test(c(esk7_0)),
inference(spm,[status(thm)],[c_0_30,c_0_19]) ).
cnf(c_0_39,negated_conjecture,
( multiplication(c(X1),c(esk6_0)) = c(addition(X1,esk6_0))
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_24]) ).
cnf(c_0_40,negated_conjecture,
addition(esk6_0,c(esk6_0)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_31]),c_0_20]) ).
cnf(c_0_41,negated_conjecture,
multiplication(esk6_0,c(esk6_0)) = zero,
inference(spm,[status(thm)],[c_0_21,c_0_31]) ).
cnf(c_0_42,negated_conjecture,
multiplication(c(esk6_0),esk6_0) = zero,
inference(spm,[status(thm)],[c_0_22,c_0_31]) ).
cnf(c_0_43,negated_conjecture,
addition(multiplication(esk6_0,addition(multiplication(esk7_0,esk2_0),multiplication(c(esk7_0),esk3_0))),multiplication(c(esk6_0),addition(multiplication(esk7_0,esk4_0),multiplication(c(esk7_0),esk5_0)))) != addition(multiplication(esk7_0,addition(multiplication(esk6_0,esk2_0),multiplication(c(esk6_0),esk4_0))),multiplication(c(esk7_0),addition(multiplication(esk6_0,esk3_0),multiplication(c(esk6_0),esk5_0)))),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_44,plain,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_45,plain,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_46,plain,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_47,negated_conjecture,
multiplication(c(esk6_0),c(esk7_0)) = c(addition(esk6_0,esk7_0)),
inference(spm,[status(thm)],[c_0_35,c_0_24]) ).
cnf(c_0_48,negated_conjecture,
c(c(esk7_0)) = esk7_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38])]) ).
cnf(c_0_49,negated_conjecture,
multiplication(c(c(esk7_0)),c(esk6_0)) = c(addition(esk6_0,c(esk7_0))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_38]),c_0_20]) ).
cnf(c_0_50,negated_conjecture,
complement(c(esk6_0),esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_40]),c_0_41])]),c_0_42])]) ).
cnf(c_0_51,negated_conjecture,
test(c(esk6_0)),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_52,negated_conjecture,
addition(multiplication(esk7_0,multiplication(esk6_0,esk2_0)),addition(multiplication(esk7_0,multiplication(c(esk6_0),esk4_0)),addition(multiplication(c(esk7_0),multiplication(esk6_0,esk3_0)),multiplication(c(esk7_0),multiplication(c(esk6_0),esk5_0))))) != addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(esk6_0,multiplication(c(esk7_0),esk3_0)),addition(multiplication(c(esk6_0),multiplication(esk7_0,esk4_0)),multiplication(c(esk6_0),multiplication(c(esk7_0),esk5_0))))),
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_43,c_0_44]),c_0_44]),c_0_45]),c_0_44]),c_0_44]),c_0_45]) ).
cnf(c_0_53,plain,
addition(X1,addition(X2,X3)) = addition(X2,addition(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_20]),c_0_45]) ).
cnf(c_0_54,negated_conjecture,
multiplication(c(esk7_0),c(esk6_0)) = c(addition(esk6_0,esk7_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_15]),c_0_20]) ).
cnf(c_0_55,negated_conjecture,
multiplication(c(addition(esk6_0,esk7_0)),X1) = multiplication(c(esk6_0),multiplication(c(esk7_0),X1)),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_56,negated_conjecture,
( multiplication(c(X1),esk7_0) = c(addition(X1,c(esk7_0)))
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_38]),c_0_48]) ).
cnf(c_0_57,negated_conjecture,
multiplication(esk7_0,c(esk6_0)) = c(addition(esk6_0,c(esk7_0))),
inference(rw,[status(thm)],[c_0_49,c_0_48]) ).
cnf(c_0_58,negated_conjecture,
c(c(esk6_0)) = esk6_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_50]),c_0_51])]) ).
cnf(c_0_59,negated_conjecture,
addition(multiplication(esk7_0,multiplication(esk6_0,esk2_0)),addition(multiplication(esk7_0,multiplication(c(esk6_0),esk4_0)),addition(multiplication(c(esk7_0),multiplication(esk6_0,esk3_0)),multiplication(c(esk7_0),multiplication(c(esk6_0),esk5_0))))) != addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(c(esk6_0),multiplication(esk7_0,esk4_0)),addition(multiplication(esk6_0,multiplication(c(esk7_0),esk3_0)),multiplication(c(esk6_0),multiplication(c(esk7_0),esk5_0))))),
inference(rw,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_60,negated_conjecture,
multiplication(c(esk7_0),multiplication(c(esk6_0),X1)) = multiplication(c(esk6_0),multiplication(c(esk7_0),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_54]),c_0_55]) ).
cnf(c_0_61,negated_conjecture,
multiplication(c(esk6_0),esk7_0) = c(addition(esk6_0,c(esk7_0))),
inference(spm,[status(thm)],[c_0_56,c_0_24]) ).
cnf(c_0_62,negated_conjecture,
multiplication(c(addition(esk6_0,c(esk7_0))),X1) = multiplication(esk7_0,multiplication(c(esk6_0),X1)),
inference(spm,[status(thm)],[c_0_46,c_0_57]) ).
cnf(c_0_63,negated_conjecture,
( multiplication(c(X1),esk6_0) = c(addition(X1,c(esk6_0)))
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_51]),c_0_58]) ).
cnf(c_0_64,negated_conjecture,
multiplication(esk6_0,esk7_0) = c(addition(c(esk6_0),c(esk7_0))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_51]),c_0_58]) ).
cnf(c_0_65,negated_conjecture,
multiplication(c(c(esk6_0)),c(esk7_0)) = c(addition(c(esk6_0),esk7_0)),
inference(spm,[status(thm)],[c_0_35,c_0_51]) ).
cnf(c_0_66,negated_conjecture,
addition(multiplication(esk7_0,multiplication(esk6_0,esk2_0)),addition(multiplication(esk7_0,multiplication(c(esk6_0),esk4_0)),addition(multiplication(c(esk7_0),multiplication(esk6_0,esk3_0)),multiplication(c(esk6_0),multiplication(c(esk7_0),esk5_0))))) != addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(c(esk6_0),multiplication(esk7_0,esk4_0)),addition(multiplication(esk6_0,multiplication(c(esk7_0),esk3_0)),multiplication(c(esk6_0),multiplication(c(esk7_0),esk5_0))))),
inference(rw,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_67,negated_conjecture,
multiplication(esk7_0,multiplication(c(esk6_0),X1)) = multiplication(c(esk6_0),multiplication(esk7_0,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_61]),c_0_62]) ).
cnf(c_0_68,negated_conjecture,
multiplication(esk7_0,esk6_0) = c(addition(c(esk6_0),c(esk7_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_38]),c_0_48]),c_0_20]) ).
cnf(c_0_69,negated_conjecture,
multiplication(c(addition(c(esk6_0),c(esk7_0))),X1) = multiplication(esk6_0,multiplication(esk7_0,X1)),
inference(spm,[status(thm)],[c_0_46,c_0_64]) ).
cnf(c_0_70,negated_conjecture,
multiplication(esk6_0,c(esk7_0)) = c(addition(c(esk6_0),esk7_0)),
inference(rw,[status(thm)],[c_0_65,c_0_58]) ).
cnf(c_0_71,negated_conjecture,
addition(multiplication(esk7_0,multiplication(esk6_0,esk2_0)),addition(multiplication(c(esk6_0),multiplication(esk7_0,esk4_0)),addition(multiplication(c(esk7_0),multiplication(esk6_0,esk3_0)),multiplication(c(esk6_0),multiplication(c(esk7_0),esk5_0))))) != addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(c(esk6_0),multiplication(esk7_0,esk4_0)),addition(multiplication(esk6_0,multiplication(c(esk7_0),esk3_0)),multiplication(c(esk6_0),multiplication(c(esk7_0),esk5_0))))),
inference(rw,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_72,negated_conjecture,
multiplication(esk7_0,multiplication(esk6_0,X1)) = multiplication(esk6_0,multiplication(esk7_0,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_68]),c_0_69]) ).
cnf(c_0_73,negated_conjecture,
multiplication(c(esk7_0),esk6_0) = c(addition(c(esk6_0),esk7_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_15]),c_0_20]) ).
cnf(c_0_74,negated_conjecture,
multiplication(c(addition(c(esk6_0),esk7_0)),X1) = multiplication(esk6_0,multiplication(c(esk7_0),X1)),
inference(spm,[status(thm)],[c_0_46,c_0_70]) ).
cnf(c_0_75,negated_conjecture,
addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(c(esk6_0),multiplication(esk7_0,esk4_0)),addition(multiplication(c(esk7_0),multiplication(esk6_0,esk3_0)),multiplication(c(esk6_0),multiplication(c(esk7_0),esk5_0))))) != addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(c(esk6_0),multiplication(esk7_0,esk4_0)),addition(multiplication(esk6_0,multiplication(c(esk7_0),esk3_0)),multiplication(c(esk6_0),multiplication(c(esk7_0),esk5_0))))),
inference(rw,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_76,negated_conjecture,
multiplication(c(esk7_0),multiplication(esk6_0,X1)) = multiplication(esk6_0,multiplication(c(esk7_0),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_73]),c_0_74]) ).
cnf(c_0_77,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_76])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KLE028+3 : TPTP v9.2.1. Released v4.0.0.
% 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 : n025.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 20:26:43 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 3.99/3.26 % Version : CSE_E---1.7
% 3.99/3.26 % Problem : theBenchmark.p
% 3.99/3.26 % SZS status Theorem for theBenchmark.p
% 3.99/3.26 % SZS output start CNFRefutation
% See solution above
% 3.99/3.27 % Total time : 2.372s
%------------------------------------------------------------------------------