%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : KLE028+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:58:40 PM UTC 2026
% Result : Theorem 5.74s 16.29s
% Output : CNFRefutation 5.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 80 ( 56 unt; 0 def)
% Number of atoms : 131 ( 77 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 90 ( 39 ~; 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 : 102 ( 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(X9)
& test(X8) )
=> 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)
<=> ( addition(X4,X5) = one
& multiplication(X5,X4) = zero
& multiplication(X4,X5) = zero ) ),
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_1,axiom,
! [X4] :
( test(X4)
<=> ? [X5] : complement(X5,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_1) ).
fof(test_deMorgan1,axiom,
! [X4,X5] :
( ( test(X5)
& test(X4) )
=> c(addition(X4,X5)) = multiplication(c(X4),c(X5)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+2.ax',test_deMorgan1) ).
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,
! [X38,X39] :
( ( ~ test(X38)
| c(X38) = X39
| ~ complement(X38,X39) )
& ( ~ test(X38)
| complement(X38,X39)
| c(X38) != X39 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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(X9)
& test(X8) )
=> 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,
( ~ test(X1)
| c(X1) != X2
| complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_12,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))))
& test(esk7_0)
& test(esk6_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])]) ).
fof(c_0_13,plain,
! [X36,X37] :
( ( complement(X37,X36)
| addition(X36,X37) != one
| multiplication(X37,X36) != zero
| multiplication(X36,X37) != zero )
& ( ~ complement(X37,X36)
| addition(X36,X37) = one )
& ( ~ complement(X37,X36)
| multiplication(X37,X36) = zero )
& ( ~ complement(X37,X36)
| multiplication(X36,X37) = zero ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[test_2])])])]) ).
cnf(c_0_14,plain,
( ~ test(X1)
| complement(X1,c(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,
! [X10,X11] : addition(X10,X11) = addition(X11,X10),
inference(variable_rename,[status(thm)],[additive_commutativity]) ).
cnf(c_0_17,negated_conjecture,
test(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,plain,
( ~ complement(X2,X1)
| addition(X1,X2) = one ),
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,
( ~ complement(X1,X2)
| multiplication(X1,X2) = zero ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_22,plain,
( ~ complement(X2,X1)
| multiplication(X1,X2) = zero ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_23,plain,
! [X32,X34,X35] :
( ( test(X34)
| ~ complement(X35,X34) )
& ( complement(esk1_1(X32),X32)
| ~ test(X32) ) ),
inference(fof_nnf,[status(thm)],[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])])])])])]) ).
fof(c_0_24,plain,
! [X41,X42] :
( c(addition(X41,X42)) = multiplication(c(X41),c(X42))
| ~ test(X42)
| ~ test(X41) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[test_deMorgan1])])]) ).
cnf(c_0_25,negated_conjecture,
complement(esk6_0,c(esk6_0)),
inference(spm,[status(thm)],[c_0_14,c_0_17]) ).
cnf(c_0_26,plain,
( addition(X1,X2) != one
| multiplication(X2,X1) != zero
| multiplication(X1,X2) != zero
| complement(X2,X1) ),
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,
( ~ complement(X1,X2)
| test(X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_31,plain,
( ~ test(X2)
| ~ test(X1)
| c(addition(X1,X2)) = multiplication(c(X1),c(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_32,negated_conjecture,
addition(esk6_0,c(esk6_0)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_25]),c_0_20]) ).
cnf(c_0_33,negated_conjecture,
multiplication(esk6_0,c(esk6_0)) = zero,
inference(spm,[status(thm)],[c_0_21,c_0_25]) ).
cnf(c_0_34,negated_conjecture,
multiplication(c(esk6_0),esk6_0) = zero,
inference(spm,[status(thm)],[c_0_22,c_0_25]) ).
cnf(c_0_35,plain,
( ~ test(X1)
| ~ complement(X1,X2)
| c(X1) = X2 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_36,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_37,negated_conjecture,
test(c(esk7_0)),
inference(spm,[status(thm)],[c_0_30,c_0_19]) ).
fof(c_0_38,plain,
! [X22,X23,X24] : multiplication(X22,addition(X23,X24)) = addition(multiplication(X22,X23),multiplication(X22,X24)),
inference(variable_rename,[status(thm)],[right_distributivity]) ).
fof(c_0_39,plain,
! [X12,X13,X14] : addition(X14,addition(X13,X12)) = addition(addition(X14,X13),X12),
inference(variable_rename,[status(thm)],[additive_associativity]) ).
fof(c_0_40,plain,
! [X17,X18,X19] : multiplication(X17,multiplication(X18,X19)) = multiplication(multiplication(X17,X18),X19),
inference(variable_rename,[status(thm)],[multiplicative_associativity]) ).
cnf(c_0_41,negated_conjecture,
( ~ test(X1)
| multiplication(c(X1),c(esk7_0)) = c(addition(X1,esk7_0)) ),
inference(spm,[status(thm)],[c_0_31,c_0_15]) ).
cnf(c_0_42,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_32]),c_0_33])]),c_0_34])]) ).
cnf(c_0_43,negated_conjecture,
test(c(esk6_0)),
inference(spm,[status(thm)],[c_0_30,c_0_25]) ).
cnf(c_0_44,negated_conjecture,
c(c(esk7_0)) = esk7_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]) ).
cnf(c_0_45,negated_conjecture,
( ~ test(X1)
| multiplication(c(X1),c(esk6_0)) = c(addition(X1,esk6_0)) ),
inference(spm,[status(thm)],[c_0_31,c_0_17]) ).
cnf(c_0_46,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_47,plain,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_48,plain,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_49,plain,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_50,negated_conjecture,
multiplication(c(esk6_0),c(esk7_0)) = c(addition(esk6_0,esk7_0)),
inference(spm,[status(thm)],[c_0_41,c_0_17]) ).
cnf(c_0_51,negated_conjecture,
c(c(esk6_0)) = esk6_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_42]),c_0_43])]) ).
cnf(c_0_52,negated_conjecture,
( ~ test(X1)
| multiplication(c(X1),esk7_0) = c(addition(X1,c(esk7_0))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_37]),c_0_44]) ).
cnf(c_0_53,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_45,c_0_37]),c_0_20]) ).
cnf(c_0_54,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_46,c_0_47]),c_0_47]),c_0_48]),c_0_47]),c_0_47]),c_0_48]) ).
cnf(c_0_55,plain,
addition(X1,addition(X2,X3)) = addition(X2,addition(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_20]),c_0_48]) ).
cnf(c_0_56,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_45,c_0_15]),c_0_20]) ).
cnf(c_0_57,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_49,c_0_50]) ).
cnf(c_0_58,negated_conjecture,
( ~ test(X1)
| multiplication(c(X1),esk6_0) = c(addition(X1,c(esk6_0))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_43]),c_0_51]) ).
cnf(c_0_59,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_52,c_0_43]),c_0_51]) ).
cnf(c_0_60,negated_conjecture,
multiplication(esk7_0,c(esk6_0)) = c(addition(esk6_0,c(esk7_0))),
inference(rw,[status(thm)],[c_0_53,c_0_44]) ).
cnf(c_0_61,negated_conjecture,
multiplication(c(c(esk6_0)),c(esk7_0)) = c(addition(esk7_0,c(esk6_0))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_43]),c_0_20]) ).
cnf(c_0_62,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_54,c_0_55]) ).
cnf(c_0_63,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_49,c_0_56]),c_0_57]) ).
cnf(c_0_64,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_58,c_0_37]),c_0_44]),c_0_20]) ).
cnf(c_0_65,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_49,c_0_59]) ).
cnf(c_0_66,negated_conjecture,
multiplication(c(esk6_0),esk7_0) = c(addition(esk6_0,c(esk7_0))),
inference(spm,[status(thm)],[c_0_52,c_0_17]) ).
cnf(c_0_67,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_49,c_0_60]) ).
cnf(c_0_68,negated_conjecture,
multiplication(esk6_0,c(esk7_0)) = c(addition(esk7_0,c(esk6_0))),
inference(rw,[status(thm)],[c_0_61,c_0_51]) ).
cnf(c_0_69,negated_conjecture,
addition(multiplication(esk7_0,multiplication(esk6_0,esk2_0)),addition(multiplication(esk7_0,multiplication(c(esk6_0),esk4_0)),addition(multiplication(c(esk6_0),multiplication(c(esk7_0),esk5_0)),multiplication(c(esk7_0),multiplication(esk6_0,esk3_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)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_20]) ).
cnf(c_0_70,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_49,c_0_64]),c_0_65]) ).
cnf(c_0_71,negated_conjecture,
multiplication(c(esk6_0),multiplication(esk7_0,X1)) = multiplication(esk7_0,multiplication(c(esk6_0),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_66]),c_0_67]) ).
cnf(c_0_72,negated_conjecture,
multiplication(c(esk7_0),esk6_0) = c(addition(esk7_0,c(esk6_0))),
inference(spm,[status(thm)],[c_0_58,c_0_15]) ).
cnf(c_0_73,negated_conjecture,
multiplication(c(addition(esk7_0,c(esk6_0))),X1) = multiplication(esk6_0,multiplication(c(esk7_0),X1)),
inference(spm,[status(thm)],[c_0_49,c_0_68]) ).
cnf(c_0_74,negated_conjecture,
addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(esk7_0,multiplication(c(esk6_0),esk4_0)),addition(multiplication(c(esk6_0),multiplication(c(esk7_0),esk5_0)),multiplication(c(esk7_0),multiplication(esk6_0,esk3_0))))) != addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(esk7_0,multiplication(c(esk6_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)],[inference(rw,[status(thm)],[c_0_69,c_0_70]),c_0_71]) ).
cnf(c_0_75,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_49,c_0_72]),c_0_73]) ).
cnf(c_0_76,plain,
addition(X1,X2) = addition(X2,X1),
c_0_20 ).
cnf(c_0_77,plain,
addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)),
c_0_48 ).
cnf(c_0_78,plain,
multiplication(multiplication(X1,X2),X3) = multiplication(X1,multiplication(X2,X3)),
c_0_49 ).
cnf(c_0_79,negated_conjecture,
$false,
inference(ar,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76,c_0_77,c_0_78]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE028+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/15.39 % CPULimit : 300
% 0.08/15.39 % WCLimit : 300
% 0.08/15.39 % DateTime : Sun Sep 20 22:40:08 UTC 2026
% 0.08/15.40 % CPUTime :
% 0.08/15.40 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.31/15.43 Running first-order theorem proving
% 0.31/15.43 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.74/16.29 % Version: 3.5.1
% 5.74/16.29 % Preprocessing class: FSMSSMSSSSSNFFN.
% 5.74/16.29 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.74/16.29 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 5.74/16.29 % Starting new_bool_3 with 300s (1) cores
% 5.74/16.29 % Starting new_bool_1 with 300s (1) cores
% 5.74/16.29 % Starting sh5l with 300s (1) cores
% 5.74/16.29 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1014405 completed with status 0
% 5.74/16.29 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 5.74/16.29 % Preprocessing class: FSMSSMSSSSSNFFN.
% 5.74/16.29 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.74/16.29 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 5.74/16.29 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 5.74/16.29 % No SInE strategy applied
% 5.74/16.29 % Search class: FGUSM-FFMF21-MFFFFFNN
% 5.74/16.29 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 5.74/16.29 % Starting SubtermCWHack with 136s (1) cores
% 5.74/16.29 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 5.74/16.29 % Starting G-E--_200_B02_F1_AE_CS_SP_PI_S0S with 136s (1) cores
% 5.74/16.29 % Starting new_bool_3 with 136s (1) cores
% 5.74/16.29 % Starting new_bool_1 with 136s (1) cores
% 5.74/16.29 % G-E--_200_B02_F1_AE_CS_SP_PI_S0S with pid 1014413 completed with status 0
% 5.74/16.29 % Result found by G-E--_200_B02_F1_AE_CS_SP_PI_S0S
% 5.74/16.29 % Preprocessing class: FSMSSMSSSSSNFFN.
% 5.74/16.29 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.74/16.29 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 5.74/16.29 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 5.74/16.29 % No SInE strategy applied
% 5.74/16.29 % Search class: FGUSM-FFMF21-MFFFFFNN
% 5.74/16.29 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 5.74/16.29 % Starting SubtermCWHack with 136s (1) cores
% 5.74/16.29 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 5.74/16.29 % Starting G-E--_200_B02_F1_AE_CS_SP_PI_S0S with 136s (1) cores
% 5.74/16.29 % Preprocessing time : 0.001 s
% 5.74/16.29
% 5.74/16.29 % Proof found!
% 5.74/16.29 % SZS status Theorem
% 5.74/16.29 % SZS output start CNFRefutation
% See solution above
% 5.74/16.29 % Parsed axioms : 19
% 5.74/16.29 % Removed by relevancy pruning/SinE : 0
% 5.74/16.29 % Initial clauses : 27
% 5.74/16.29 % Removed in clause preprocessing : 0
% 5.74/16.29 % Initial clauses in saturation : 27
% 5.74/16.29 % Processed clauses : 7730
% 5.74/16.29 % ...of these trivial : 532
% 5.74/16.29 % ...subsumed : 5821
% 5.74/16.29 % ...remaining for further processing : 1377
% 5.74/16.29 % Other redundant clauses eliminated : 0
% 5.74/16.29 % Clauses deleted for lack of memory : 0
% 5.74/16.29 % Backward-subsumed : 133
% 5.74/16.29 % Backward-rewritten : 264
% 5.74/16.29 % Generated clauses : 45074
% 5.74/16.29 % ...of the previous two non-redundant : 34315
% 5.74/16.29 % ...aggressively subsumed : 0
% 5.74/16.29 % Contextual simplify-reflections : 11
% 5.74/16.29 % Paramodulations : 45062
% 5.74/16.29 % Factorizations : 1
% 5.74/16.29 % NegExts : 0
% 5.74/16.29 % Equation resolutions : 11
% 5.74/16.29 % Disequality decompositions : 0
% 5.74/16.29 % Total rewrite steps : 94376
% 5.74/16.29 % ...of those cached : 88648
% 5.74/16.29 % Propositional unsat checks : 0
% 5.74/16.29 % Propositional check models : 0
% 5.74/16.29 % Propositional check unsatisfiable : 0
% 5.74/16.29 % Propositional clauses : 0
% 5.74/16.29 % Propositional clauses after purity: 0
% 5.74/16.29 % Propositional unsat core size : 0
% 5.74/16.29 % Propositional preprocessing time : 0.000
% 5.74/16.29 % Propositional encoding time : 0.000
% 5.74/16.29 % Propositional solver time : 0.000
% 5.74/16.29 % Success case prop preproc time : 0.000
% 5.74/16.29 % Success case prop encoding time : 0.000
% 5.74/16.29 % Success case prop solver time : 0.000
% 5.74/16.29 % Current number of processed clauses : 980
% 5.74/16.29 % Positive orientable unit clauses : 299
% 5.74/16.29 % Positive unorientable unit clauses: 5
% 5.74/16.29 % Negative unit clauses : 1
% 5.74/16.29 % Non-unit-clauses : 675
% 5.74/16.29 % Current number of unprocessed clauses: 25779
% 5.74/16.29 % ...number of literals in the above : 63849
% 5.74/16.29 % Current number of archived formulas : 0
% 5.74/16.29 % Current number of archived clauses : 397
% 5.74/16.29 % Clause-clause subsumption calls (NU) : 334417
% 5.74/16.29 % Rec. Clause-clause subsumption calls : 295702
% 5.74/16.29 % Non-unit clause-clause subsumptions : 5595
% 5.74/16.29 % Unit Clause-clause subsumption calls : 18168
% 5.74/16.29 % Rewrite failures with RHS unbound : 0
% 5.74/16.29 % BW rewrite match attempts : 788
% 5.74/16.29 % BW rewrite match successes : 220
% 5.74/16.29 % Condensation attempts : 0
% 5.74/16.29 % Condensation successes : 0
% 5.74/16.29 % Termbank termtop insertions : 837780
% 5.74/16.29 % Search garbage collected termcells : 235
% 5.74/16.29
% 5.74/16.29 % -------------------------------------------------
% 5.74/16.29 % User time : 0.768 s
% 5.74/16.29 % System time : 0.033 s
% 5.74/16.29 % Total time : 0.800 s
% 5.74/16.29 % Maximum resident set size: 3656 pages
% 5.74/16.29
% 5.74/16.29 % -------------------------------------------------
% 5.74/16.29 % User time : 3.528 s
% 5.74/16.29 % System time : 0.156 s
% 5.74/16.29 % Total time : 3.684 s
% 5.74/16.29 % Maximum resident set size: 4608 pages
% 5.74/16.29 % E exiting
%------------------------------------------------------------------------------