%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SWV486+1 : 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 : n004.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 03:02:35 PM UTC 2026
% Result : Theorem 0.16s 6.04s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 83 ( 20 unt; 0 def)
% Number of atoms : 251 ( 57 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 267 ( 99 ~; 106 |; 37 &)
% ( 4 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 160 ( 0 sgn 75 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(plus_and_order1,axiom,
! [X4,X5,X6,X7] :
( ( int_leq(X6,X7)
& int_less(X4,X5) )
=> int_leq(plus(X4,X6),plus(X5,X7)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus_and_order1) ).
fof(plus_and_inverse,axiom,
! [X1,X2] :
( int_less(X1,X2)
<=> ? [X3] :
( int_less(int_zero,X3)
& plus(X1,X3) = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus_and_inverse) ).
fof(int_leq,axiom,
! [X1,X2] :
( int_leq(X1,X2)
<=> ( X1 = X2
| int_less(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',int_leq) ).
fof(one_successor_of_zero,axiom,
! [X1] :
( int_less(int_zero,X1)
<=> int_leq(int_one,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',one_successor_of_zero) ).
fof(plus_zero,axiom,
! [X1] : plus(X1,int_zero) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus_zero) ).
fof(plus_commutative,axiom,
! [X1,X2] : plus(X1,X2) = plus(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus_commutative) ).
fof(int_less_total,axiom,
! [X1,X2] :
( int_leq(X2,X1)
| int_less(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',int_less_total) ).
fof(lt,conjecture,
! [X1,X2] :
( ( int_leq(X2,n)
& int_less(X1,X2)
& int_leq(int_one,X1) )
=> a(X1,X2) = real_zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lt) ).
fof(int_less_irreflexive,axiom,
! [X1,X2] :
( int_less(X1,X2)
=> X1 != X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',int_less_irreflexive) ).
fof(int_less_transitive,axiom,
! [X1,X2,X3] :
( ( int_less(X2,X3)
& int_less(X1,X2) )
=> int_less(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',int_less_transitive) ).
fof(qih,hypothesis,
! [X1,X2] :
( ( int_leq(X2,n)
& int_leq(int_one,X2)
& int_leq(X1,n)
& int_leq(int_one,X1) )
=> ( ! [X8] :
( ( X2 = plus(X1,X8)
& int_less(int_zero,X8) )
=> ! [X3] :
( ( int_leq(X3,X1)
& int_leq(int_one,X3) )
=> a(X3,plus(X3,X8)) = real_zero ) )
& ! [X8] :
( ( X1 = plus(X2,X8)
& int_less(int_zero,X8) )
=> ! [X3] :
( ( int_leq(X3,X2)
& int_leq(int_one,X3) )
=> a(plus(X3,X8),X3) = qr(plus(X3,X8),X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qih) ).
fof(c_0_11,plain,
! [X2,X1] :
( epred1_2(X1,X2)
<=> ( ! [X8] :
( ( X2 = plus(X1,X8)
& int_less(int_zero,X8) )
=> ! [X3] :
( ( int_leq(X3,X1)
& int_leq(int_one,X3) )
=> a(X3,plus(X3,X8)) = real_zero ) )
& ! [X8] :
( ( X1 = plus(X2,X8)
& int_less(int_zero,X8) )
=> ! [X3] :
( ( int_leq(X3,X2)
& int_leq(int_one,X3) )
=> a(plus(X3,X8),X3) = qr(plus(X3,X8),X3) ) ) ) ),
introduced(definition) ).
fof(c_0_12,plain,
! [X21,X22,X23,X24] :
( int_leq(plus(X21,X23),plus(X22,X24))
| ~ int_leq(X23,X24)
| ~ int_less(X21,X22) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[plus_and_order1])])]) ).
fof(c_0_13,plain,
! [X25,X26,X28,X29,X30] :
( ( int_less(X28,X29)
| ~ int_less(int_zero,X30)
| plus(X28,X30) != X29 )
& ( ~ int_less(X25,X26)
| int_less(int_zero,esk1_2(X25,X26)) )
& ( ~ int_less(X25,X26)
| plus(X25,esk1_2(X25,X26)) = X26 ) ),
inference(distribute,[status(thm)],[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)],[plus_and_inverse])])])])])])]) ).
fof(c_0_14,plain,
! [X9,X10] :
( ( int_leq(X9,X10)
| X9 != X10 )
& ( int_leq(X9,X10)
| ~ int_less(X9,X10) )
& ( X9 = X10
| int_less(X9,X10)
| ~ int_leq(X9,X10) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[int_leq])])])]) ).
fof(c_0_15,plain,
! [X31] :
( ( int_less(int_zero,X31)
| ~ int_leq(int_one,X31) )
& ( int_leq(int_one,X31)
| ~ int_less(int_zero,X31) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[one_successor_of_zero])])]) ).
fof(c_0_16,plain,
! [X2,X1] :
( epred1_2(X1,X2)
=> ( ! [X8] :
( ( X2 = plus(X1,X8)
& int_less(int_zero,X8) )
=> ! [X3] :
( ( int_leq(X3,X1)
& int_leq(int_one,X3) )
=> a(X3,plus(X3,X8)) = real_zero ) )
& ! [X8] :
( ( X1 = plus(X2,X8)
& int_less(int_zero,X8) )
=> ! [X3] :
( ( int_leq(X3,X2)
& int_leq(int_one,X3) )
=> a(plus(X3,X8),X3) = qr(plus(X3,X8),X3) ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_11]) ).
fof(c_0_17,plain,
! [X20] : plus(X20,int_zero) = X20,
inference(variable_rename,[status(thm)],[plus_zero]) ).
fof(c_0_18,plain,
! [X18,X19] : plus(X18,X19) = plus(X19,X18),
inference(variable_rename,[status(thm)],[plus_commutative]) ).
cnf(c_0_19,plain,
( ~ int_leq(X3,X4)
| ~ int_less(X1,X2)
| int_leq(plus(X1,X3),plus(X2,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,plain,
( ~ int_less(X1,X2)
| plus(X1,esk1_2(X1,X2)) = X2 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_21,plain,
! [X16,X17] :
( int_leq(X17,X16)
| int_less(X16,X17) ),
inference(variable_rename,[status(thm)],[int_less_total]) ).
cnf(c_0_22,plain,
( ~ int_leq(X1,X2)
| X1 = X2
| int_less(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_23,plain,
( ~ int_less(int_zero,X1)
| int_leq(int_one,X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_24,negated_conjecture,
~ ! [X1,X2] :
( ( int_leq(X2,n)
& int_less(X1,X2)
& int_leq(int_one,X1) )
=> a(X1,X2) = real_zero ),
inference(assume_negation,[status(cth)],[lt]) ).
fof(c_0_25,plain,
! [X1,X2] :
( int_less(X1,X2)
=> X1 != X2 ),
inference(fof_simplification,[status(thm)],[int_less_irreflexive]) ).
fof(c_0_26,plain,
! [X36,X37,X38,X39,X40,X41] :
( ( ~ epred1_2(X37,X36)
| a(X41,plus(X41,X40)) = real_zero
| ~ int_leq(X41,X37)
| ~ int_leq(int_one,X41)
| X36 != plus(X37,X40)
| ~ int_less(int_zero,X40) )
& ( ~ epred1_2(X37,X36)
| a(plus(X39,X38),X39) = qr(plus(X39,X38),X39)
| ~ int_leq(X39,X36)
| ~ int_leq(int_one,X39)
| X37 != plus(X36,X38)
| ~ int_less(int_zero,X38) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])])]) ).
cnf(c_0_27,plain,
plus(X1,int_zero) = X1,
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_28,plain,
plus(X1,X2) = plus(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_29,plain,
( ~ int_leq(X2,esk1_2(X4,X3))
| ~ int_less(X4,X3)
| ~ int_less(X1,X4)
| int_leq(plus(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_30,plain,
( ~ int_less(X1,X2)
| int_less(int_zero,esk1_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_31,plain,
( ~ int_leq(int_one,X1)
| int_less(int_zero,X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_32,plain,
( int_leq(X2,X1)
| int_less(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_33,plain,
( ~ int_less(int_zero,X1)
| int_less(int_one,X1)
| int_one = X1 ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
fof(c_0_34,negated_conjecture,
( a(esk2_0,esk3_0) != real_zero
& int_leq(esk3_0,n)
& int_less(esk2_0,esk3_0)
& int_leq(int_one,esk2_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])]) ).
fof(c_0_35,plain,
! [X14,X15] :
( X14 != X15
| ~ int_less(X14,X15) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])]) ).
cnf(c_0_36,plain,
( ~ epred1_2(X3,X2)
| ~ int_leq(X4,X3)
| ~ int_leq(int_one,X4)
| X2 != plus(X3,X1)
| ~ int_less(int_zero,X1)
| a(X4,plus(X4,X1)) = real_zero ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_37,plain,
( ~ int_less(int_zero,X2)
| plus(X1,X2) != X3
| int_less(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_38,plain,
plus(int_zero,X1) = X1,
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_39,plain,
( ~ int_less(X3,X2)
| ~ int_less(X1,X3)
| int_leq(plus(X1,int_one),X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_23]),c_0_30]) ).
cnf(c_0_40,plain,
( int_less(int_zero,X1)
| int_less(X1,int_one) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_41,plain,
( ~ int_less(X1,X2)
| int_less(int_one,esk1_2(X1,X2))
| esk1_2(X1,X2) = int_one ),
inference(spm,[status(thm)],[c_0_33,c_0_30]) ).
cnf(c_0_42,negated_conjecture,
int_less(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_43,plain,
( X1 != X2
| ~ int_less(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_44,plain,
! [X11,X12,X13] :
( int_less(X11,X13)
| ~ int_less(X12,X13)
| ~ int_less(X11,X12) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[int_less_transitive])])]) ).
cnf(c_0_45,negated_conjecture,
int_leq(esk3_0,n),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_46,plain,
( ~ int_leq(X1,X3)
| ~ int_leq(int_one,X1)
| ~ int_less(int_zero,X2)
| ~ epred1_2(X3,plus(X3,X2))
| a(X1,plus(X1,X2)) = real_zero ),
inference(er,[status(thm)],[c_0_36]) ).
cnf(c_0_47,plain,
( X1 != X2
| int_leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_48,plain,
( ~ int_less(int_zero,X2)
| int_less(X1,plus(X1,X2)) ),
inference(er,[status(thm)],[c_0_37]) ).
cnf(c_0_49,plain,
( ~ int_leq(X1,X3)
| ~ int_less(int_zero,X2)
| int_leq(X1,plus(X2,X3)) ),
inference(spm,[status(thm)],[c_0_19,c_0_38]) ).
cnf(c_0_50,plain,
( ~ int_less(X1,X2)
| int_leq(int_one,X2)
| int_less(X1,int_one) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_38]) ).
cnf(c_0_51,negated_conjecture,
( int_less(int_one,esk1_2(esk2_0,esk3_0))
| esk1_2(esk2_0,esk3_0) = int_one ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_52,plain,
~ int_less(X1,X1),
inference(er,[status(thm)],[c_0_43]) ).
cnf(c_0_53,negated_conjecture,
int_leq(int_one,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_54,plain,
( ~ int_leq(X2,X3)
| ~ int_less(X1,X4)
| int_leq(plus(X1,X2),plus(X3,X4)) ),
inference(spm,[status(thm)],[c_0_19,c_0_28]) ).
cnf(c_0_55,plain,
( ~ int_less(X2,X3)
| ~ int_less(X1,X2)
| int_less(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_56,negated_conjecture,
( int_less(esk3_0,n)
| n = esk3_0 ),
inference(spm,[status(thm)],[c_0_22,c_0_45]) ).
cnf(c_0_57,plain,
( ~ int_leq(X1,X2)
| ~ int_leq(int_one,X1)
| ~ int_less(X2,X3)
| ~ epred1_2(X2,X3)
| a(X1,plus(X1,esk1_2(X2,X3))) = real_zero ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_20]),c_0_30]) ).
cnf(c_0_58,plain,
int_leq(X1,X1),
inference(er,[status(thm)],[c_0_47]) ).
fof(c_0_59,hypothesis,
! [X1,X2] :
( ( int_leq(X2,n)
& int_leq(int_one,X2)
& int_leq(X1,n)
& int_leq(int_one,X1) )
=> epred1_2(X1,X2) ),
inference(apply_def,[status(thm)],[qih,c_0_11]) ).
cnf(c_0_60,plain,
( ~ int_less(int_zero,X2)
| int_less(X1,plus(X2,X1)) ),
inference(spm,[status(thm)],[c_0_48,c_0_28]) ).
cnf(c_0_61,plain,
( ~ int_leq(X1,esk1_2(X3,X2))
| ~ int_less(X3,X2)
| ~ int_less(int_zero,X3)
| int_leq(X1,X2) ),
inference(spm,[status(thm)],[c_0_49,c_0_20]) ).
cnf(c_0_62,negated_conjecture,
( int_leq(int_one,esk1_2(esk2_0,esk3_0))
| esk1_2(esk2_0,esk3_0) = int_one ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]) ).
cnf(c_0_63,negated_conjecture,
int_less(int_zero,esk2_0),
inference(spm,[status(thm)],[c_0_31,c_0_53]) ).
cnf(c_0_64,plain,
( ~ int_leq(X2,X4)
| ~ int_less(X4,X3)
| ~ int_less(X1,esk1_2(X4,X3))
| int_leq(plus(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_54,c_0_20]) ).
cnf(c_0_65,negated_conjecture,
( ~ int_less(X1,esk3_0)
| int_less(X1,n)
| n = esk3_0 ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_66,negated_conjecture,
a(esk2_0,esk3_0) != real_zero,
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_67,plain,
( ~ int_leq(int_one,X1)
| ~ int_less(X1,X2)
| ~ epred1_2(X1,X2)
| a(X1,X2) = real_zero ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_20]),c_0_58])]) ).
fof(c_0_68,hypothesis,
! [X32,X33] :
( epred1_2(X32,X33)
| ~ int_leq(X33,n)
| ~ int_leq(int_one,X33)
| ~ int_leq(X32,n)
| ~ int_leq(int_one,X32) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_59])])]) ).
cnf(c_0_69,plain,
( ~ int_less(X1,X2)
| ~ int_less(int_zero,X1)
| int_less(esk1_2(X1,X2),X2) ),
inference(spm,[status(thm)],[c_0_60,c_0_20]) ).
cnf(c_0_70,negated_conjecture,
( int_leq(int_one,esk3_0)
| esk1_2(esk2_0,esk3_0) = int_one ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]),c_0_42])]) ).
cnf(c_0_71,plain,
( ~ int_less(X1,X2)
| int_leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_72,plain,
( ~ int_leq(X1,X3)
| ~ int_less(X3,X2)
| int_leq(X1,X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_30]),c_0_38]) ).
cnf(c_0_73,negated_conjecture,
( int_less(esk2_0,n)
| n = esk3_0 ),
inference(spm,[status(thm)],[c_0_65,c_0_42]) ).
cnf(c_0_74,negated_conjecture,
~ epred1_2(esk2_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_42]),c_0_53])]) ).
cnf(c_0_75,hypothesis,
( ~ int_leq(X2,n)
| ~ int_leq(int_one,X2)
| ~ int_leq(X1,n)
| ~ int_leq(int_one,X1)
| epred1_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_76,negated_conjecture,
int_leq(int_one,esk3_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_63]),c_0_42])]),c_0_71]) ).
cnf(c_0_77,negated_conjecture,
( ~ int_leq(X1,esk2_0)
| int_leq(X1,n)
| n = esk3_0 ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_78,hypothesis,
~ int_leq(esk2_0,n),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_45]),c_0_76]),c_0_53])]) ).
cnf(c_0_79,negated_conjecture,
( int_leq(esk2_0,n)
| n = esk3_0 ),
inference(spm,[status(thm)],[c_0_77,c_0_58]) ).
cnf(c_0_80,hypothesis,
~ int_less(esk2_0,n),
inference(spm,[status(thm)],[c_0_78,c_0_71]) ).
cnf(c_0_81,negated_conjecture,
n = esk3_0,
inference(sr,[status(thm)],[c_0_79,c_0_78]) ).
cnf(c_0_82,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_81]),c_0_42])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV486+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/5.60 % Computer : n004.cluster.edu
% 0.12/5.60 % Model : x86_64 x86_64
% 0.12/5.60 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.60 % Memory : 8046.5625MB
% 0.12/5.60 % OS : Linux 6.8.0-71-generic
% 0.12/5.60 % CPULimit : 300
% 0.12/5.60 % WCLimit : 300
% 0.12/5.60 % DateTime : Mon Sep 21 08:53:56 UTC 2026
% 0.12/5.60 % CPUTime :
% 0.12/5.60 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/5.65 Running first-order theorem proving
% 0.12/5.65 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
% 0.16/6.04 % Version: 3.5.1
% 0.16/6.04 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/6.04 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/6.04 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/6.04 % Starting new_bool_3 with 300s (1) cores
% 0.16/6.04 % Starting new_bool_1 with 300s (1) cores
% 0.16/6.04 % Starting sh5l with 300s (1) cores
% 0.16/6.04 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2767071 completed with status 0
% 0.16/6.04 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.16/6.04 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/6.04 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/6.04 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/6.04 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/6.04 % No SInE strategy applied
% 0.16/6.04 % Search class: FGHSS-FFSS22-SFFFFFNN
% 0.16/6.04 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/6.04 % Starting SubtermCWHack with 136s (1) cores
% 0.16/6.04 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/6.04 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.16/6.04 % Starting new_bool_3 with 136s (1) cores
% 0.16/6.04 % Starting new_bool_1 with 136s (1) cores
% 0.16/6.04 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2767085 completed with status 0
% 0.16/6.04 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.16/6.04 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/6.04 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/6.04 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/6.04 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/6.04 % No SInE strategy applied
% 0.16/6.04 % Search class: FGHSS-FFSS22-SFFFFFNN
% 0.16/6.04 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/6.04 % Starting SubtermCWHack with 136s (1) cores
% 0.16/6.04 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/6.04 % Preprocessing time : 0.001 s
% 0.16/6.04 % Presaturation interreduction done
% 0.16/6.04
% 0.16/6.04 % Proof found!
% 0.16/6.04 % SZS status Theorem
% 0.16/6.04 % SZS output start CNFRefutation
% See solution above
% 0.16/6.04 % Parsed axioms : 13
% 0.16/6.04 % Removed by relevancy pruning/SinE : 0
% 0.16/6.04 % Initial clauses : 23
% 0.16/6.04 % Removed in clause preprocessing : 0
% 0.16/6.04 % Initial clauses in saturation : 23
% 0.16/6.04 % Processed clauses : 2487
% 0.16/6.04 % ...of these trivial : 6
% 0.16/6.04 % ...subsumed : 1861
% 0.16/6.04 % ...remaining for further processing : 620
% 0.16/6.04 % Other redundant clauses eliminated : 5
% 0.16/6.04 % Clauses deleted for lack of memory : 0
% 0.16/6.04 % Backward-subsumed : 25
% 0.16/6.04 % Backward-rewritten : 140
% 0.16/6.04 % Generated clauses : 10777
% 0.16/6.04 % ...of the previous two non-redundant : 9758
% 0.16/6.04 % ...aggressively subsumed : 0
% 0.16/6.04 % Contextual simplify-reflections : 11
% 0.16/6.04 % Paramodulations : 10766
% 0.16/6.04 % Factorizations : 2
% 0.16/6.04 % NegExts : 0
% 0.16/6.04 % Equation resolutions : 5
% 0.16/6.04 % Disequality decompositions : 0
% 0.16/6.04 % Total rewrite steps : 2164
% 0.16/6.04 % ...of those cached : 2132
% 0.16/6.04 % Propositional unsat checks : 0
% 0.16/6.04 % Propositional check models : 0
% 0.16/6.04 % Propositional check unsatisfiable : 0
% 0.16/6.04 % Propositional clauses : 0
% 0.16/6.04 % Propositional clauses after purity: 0
% 0.16/6.04 % Propositional unsat core size : 0
% 0.16/6.04 % Propositional preprocessing time : 0.000
% 0.16/6.04 % Propositional encoding time : 0.000
% 0.16/6.04 % Propositional solver time : 0.000
% 0.16/6.04 % Success case prop preproc time : 0.000
% 0.16/6.04 % Success case prop encoding time : 0.000
% 0.16/6.04 % Success case prop solver time : 0.000
% 0.16/6.04 % Current number of processed clauses : 423
% 0.16/6.04 % Positive orientable unit clauses : 11
% 0.16/6.04 % Positive unorientable unit clauses: 1
% 0.16/6.04 % Negative unit clauses : 9
% 0.16/6.04 % Non-unit-clauses : 402
% 0.16/6.04 % Current number of unprocessed clauses: 7280
% 0.16/6.04 % ...number of literals in the above : 32205
% 0.16/6.04 % Current number of archived formulas : 0
% 0.16/6.04 % Current number of archived clauses : 192
% 0.16/6.04 % Clause-clause subsumption calls (NU) : 24381
% 0.16/6.04 % Rec. Clause-clause subsumption calls : 12666
% 0.16/6.04 % Non-unit clause-clause subsumptions : 1418
% 0.16/6.04 % Unit Clause-clause subsumption calls : 581
% 0.16/6.04 % Rewrite failures with RHS unbound : 0
% 0.16/6.04 % BW rewrite match attempts : 10
% 0.16/6.04 % BW rewrite match successes : 7
% 0.16/6.04 % Condensation attempts : 0
% 0.16/6.04 % Condensation successes : 0
% 0.16/6.04 % Termbank termtop insertions : 134490
% 0.16/6.04 % Search garbage collected termcells : 356
% 0.16/6.04
% 0.16/6.04 % -------------------------------------------------
% 0.16/6.04 % User time : 0.343 s
% 0.16/6.04 % System time : 0.018 s
% 0.16/6.04 % Total time : 0.360 s
% 0.16/6.04 % Maximum resident set size: 3388 pages
% 0.16/6.04
% 0.16/6.04 % -------------------------------------------------
% 0.16/6.04 % User time : 1.365 s
% 0.16/6.04 % System time : 0.081 s
% 0.16/6.04 % Total time : 1.446 s
% 0.16/6.04 % Maximum resident set size: 4608 pages
% 0.16/6.04 % E exiting
%------------------------------------------------------------------------------