%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUM469+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 : n005.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 01:49:12 PM UTC 2026
% Result : Theorem 0.19s 0.49s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 73 ( 18 unt; 0 def)
% Number of atoms : 252 ( 68 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 308 ( 129 ~; 128 |; 31 &)
% ( 4 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 86 ( 1 sgn 41 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
doDivides0(xl,sdtpldt0(xm,xn)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(mDefDiv,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( doDivides0(X1,X2)
<=> ? [X3] :
( X2 = sdtasdt0(X1,X3)
& aNaturalNumber0(X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiv) ).
fof(mSortsB_02,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(m__1298,hypothesis,
( xl != sz00
=> sdtpldt0(xm,xn) = sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1298) ).
fof(mDefQuot,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( ( doDivides0(X1,X2)
& X1 != sz00 )
=> ! [X3] :
( X3 = sdtsldt0(X2,X1)
<=> ( X2 = sdtasdt0(X1,X3)
& aNaturalNumber0(X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefQuot) ).
fof(m_MulZero,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( sz00 = sdtasdt0(sz00,X1)
& sdtasdt0(X1,sz00) = sz00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulZero) ).
fof(m__1240,hypothesis,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xl) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1240) ).
fof(mSortsB,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
fof(mZeroAdd,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( sdtpldt0(X1,X2) = sz00
=> ( X2 = sz00
& X1 = sz00 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroAdd) ).
fof(mDefLE,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X1,X2)
<=> ? [X3] :
( sdtpldt0(X1,X3) = X2
& aNaturalNumber0(X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefLE) ).
fof(mSortsC,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(mDivTrans,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X3)
& aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( ( doDivides0(X2,X3)
& doDivides0(X1,X2) )
=> doDivides0(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivTrans) ).
fof(m__1240_04,hypothesis,
( doDivides0(xl,xn)
& doDivides0(xl,xm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1240_04) ).
fof(m_AddZero,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( X1 = sdtpldt0(sz00,X1)
& sdtpldt0(X1,sz00) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_AddZero) ).
fof(c_0_14,negated_conjecture,
~ doDivides0(xl,sdtpldt0(xm,xn)),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_15,plain,
! [X5,X6,X8] :
( ( ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X5)
| doDivides0(X5,X6)
| X6 != sdtasdt0(X5,X8)
| ~ aNaturalNumber0(X8) )
& ( ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X5)
| ~ doDivides0(X5,X6)
| X6 = sdtasdt0(X5,esk1_2(X5,X6)) )
& ( ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X5)
| ~ doDivides0(X5,X6)
| aNaturalNumber0(esk1_2(X5,X6)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefDiv])])])])])]) ).
fof(c_0_16,plain,
! [X12,X13] :
( aNaturalNumber0(sdtasdt0(X12,X13))
| ~ aNaturalNumber0(X13)
| ~ aNaturalNumber0(X12) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])])]) ).
fof(c_0_17,hypothesis,
( xl != sz00
=> sdtpldt0(xm,xn) = sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) ),
inference(fof_simplification,[status(thm)],[m__1298]) ).
fof(c_0_18,negated_conjecture,
~ doDivides0(xl,sdtpldt0(xm,xn)),
inference(fof_simplification,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| X2 != sdtasdt0(X3,X1)
| ~ aNaturalNumber0(X1)
| doDivides0(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,plain,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(sdtasdt0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_21,hypothesis,
( sdtpldt0(xm,xn) = sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| xl = sz00 ),
inference(fof_nnf,[status(thm)],[c_0_17]) ).
fof(c_0_22,negated_conjecture,
~ doDivides0(xl,sdtpldt0(xm,xn)),
inference(fof_nnf,[status(thm)],[c_0_18]) ).
fof(c_0_23,plain,
! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( ( doDivides0(X1,X2)
& X1 != sz00 )
=> ! [X3] :
( X3 = sdtsldt0(X2,X1)
<=> ( X2 = sdtasdt0(X1,X3)
& aNaturalNumber0(X3) ) ) ) ),
inference(fof_simplification,[status(thm)],[mDefQuot]) ).
fof(c_0_24,plain,
! [X19] :
( ( ~ aNaturalNumber0(X19)
| sz00 = sdtasdt0(sz00,X19) )
& ( ~ aNaturalNumber0(X19)
| sdtasdt0(X19,sz00) = sz00 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_MulZero])])])]) ).
cnf(c_0_25,plain,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| doDivides0(X1,sdtasdt0(X1,X2)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_19]),c_0_20]) ).
cnf(c_0_26,hypothesis,
( sdtpldt0(xm,xn) = sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| xl = sz00 ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_27,hypothesis,
aNaturalNumber0(xl),
inference(split_conjunct,[status(thm)],[m__1240]) ).
cnf(c_0_28,negated_conjecture,
~ doDivides0(xl,sdtpldt0(xm,xn)),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_29,plain,
! [X33,X34] :
( aNaturalNumber0(sdtpldt0(X33,X34))
| ~ aNaturalNumber0(X34)
| ~ aNaturalNumber0(X33) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB])])]) ).
fof(c_0_30,plain,
! [X53,X54,X55] :
( ( ~ aNaturalNumber0(X54)
| ~ aNaturalNumber0(X53)
| ~ doDivides0(X53,X54)
| X53 = sz00
| X55 = sdtsldt0(X54,X53)
| X54 != sdtasdt0(X53,X55)
| ~ aNaturalNumber0(X55) )
& ( ~ aNaturalNumber0(X54)
| ~ aNaturalNumber0(X53)
| ~ doDivides0(X53,X54)
| X53 = sz00
| X55 != sdtsldt0(X54,X53)
| X54 = sdtasdt0(X53,X55) )
& ( ~ aNaturalNumber0(X54)
| ~ aNaturalNumber0(X53)
| ~ doDivides0(X53,X54)
| X53 = sz00
| X55 != sdtsldt0(X54,X53)
| aNaturalNumber0(X55) ) ),
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_23])])])])]) ).
fof(c_0_31,plain,
! [X44,X45] :
( ( ~ aNaturalNumber0(X45)
| ~ aNaturalNumber0(X44)
| sdtpldt0(X44,X45) != sz00
| X45 = sz00 )
& ( ~ aNaturalNumber0(X45)
| ~ aNaturalNumber0(X44)
| sdtpldt0(X44,X45) != sz00
| X44 = sz00 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroAdd])])])]) ).
fof(c_0_32,plain,
! [X46,X47,X49] :
( ( ~ aNaturalNumber0(X47)
| ~ aNaturalNumber0(X46)
| sdtlseqdt0(X46,X47)
| sdtpldt0(X46,X49) != X47
| ~ aNaturalNumber0(X49) )
& ( ~ aNaturalNumber0(X47)
| ~ aNaturalNumber0(X46)
| ~ sdtlseqdt0(X46,X47)
| sdtpldt0(X46,esk2_2(X46,X47)) = X47 )
& ( ~ aNaturalNumber0(X47)
| ~ aNaturalNumber0(X46)
| ~ sdtlseqdt0(X46,X47)
| aNaturalNumber0(esk2_2(X46,X47)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefLE])])])])])]) ).
cnf(c_0_33,plain,
( ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sz00,X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_34,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X1 = sdtasdt0(X2,esk1_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_35,plain,
aNaturalNumber0(sz00),
inference(split_conjunct,[status(thm)],[mSortsC]) ).
fof(c_0_36,plain,
! [X9,X10,X11] :
( doDivides0(X9,X11)
| ~ doDivides0(X10,X11)
| ~ doDivides0(X9,X10)
| ~ aNaturalNumber0(X11)
| ~ aNaturalNumber0(X10)
| ~ aNaturalNumber0(X9) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivTrans])])]) ).
cnf(c_0_37,hypothesis,
( ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| xl = sz00 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]),c_0_28]) ).
cnf(c_0_38,plain,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(sdtpldt0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_39,plain,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X3,X2)
| X1 != sdtsldt0(X2,X3)
| X3 = sz00
| aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_40,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X1) != sz00
| X1 = sz00 ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_41,plain,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X2)
| sdtpldt0(X1,esk2_2(X1,X2)) = X2 ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_42,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(esk1_2(sz00,X1))
| ~ doDivides0(sz00,X1)
| X1 = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35])]) ).
cnf(c_0_43,plain,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X2)
| aNaturalNumber0(esk1_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_44,plain,
( ~ doDivides0(X2,X3)
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| doDivides0(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_45,hypothesis,
doDivides0(xl,xm),
inference(split_conjunct,[status(thm)],[m__1240_04]) ).
cnf(c_0_46,hypothesis,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[m__1240]) ).
cnf(c_0_47,hypothesis,
( ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| xl = sz00 ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_48,plain,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X2)
| aNaturalNumber0(sdtsldt0(X2,X1))
| X1 = sz00 ),
inference(er,[status(thm)],[c_0_39]) ).
cnf(c_0_49,hypothesis,
doDivides0(xl,xn),
inference(split_conjunct,[status(thm)],[m__1240_04]) ).
cnf(c_0_50,hypothesis,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[m__1240]) ).
cnf(c_0_51,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(esk2_2(X1,sz00))
| ~ sdtlseqdt0(X1,sz00)
| esk2_2(X1,sz00) = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41])]),c_0_35])]) ).
cnf(c_0_52,plain,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X2)
| aNaturalNumber0(esk2_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_53,plain,
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X1) != X3
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_54,plain,
! [X40] :
( ( ~ aNaturalNumber0(X40)
| X40 = sdtpldt0(sz00,X40) )
& ( ~ aNaturalNumber0(X40)
| sdtpldt0(X40,sz00) = X40 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_AddZero])])])]) ).
cnf(c_0_55,plain,
( ~ aNaturalNumber0(X1)
| ~ doDivides0(sz00,X1)
| X1 = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_35])]) ).
cnf(c_0_56,hypothesis,
( ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,xl)
| doDivides0(X1,xm) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]),c_0_27])]) ).
cnf(c_0_57,hypothesis,
( ~ aNaturalNumber0(sdtsldt0(xm,xl))
| xl = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]),c_0_27]),c_0_50])]) ).
cnf(c_0_58,plain,
( ~ aNaturalNumber0(X1)
| doDivides0(sz00,sz00) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_33]),c_0_35])]) ).
cnf(c_0_59,hypothesis,
( ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,xl)
| doDivides0(X1,xn) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_49]),c_0_50]),c_0_27])]) ).
cnf(c_0_60,plain,
( ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,sz00)
| esk2_2(X1,sz00) = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_35])]) ).
cnf(c_0_61,plain,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X1,sdtpldt0(X1,X2)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_53]),c_0_38]) ).
cnf(c_0_62,plain,
( ~ aNaturalNumber0(X1)
| X1 = sdtpldt0(sz00,X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_63,hypothesis,
( ~ doDivides0(sz00,xl)
| xm = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_46]),c_0_35])]) ).
cnf(c_0_64,hypothesis,
xl = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_48]),c_0_45]),c_0_27]),c_0_46])]) ).
cnf(c_0_65,hypothesis,
doDivides0(sz00,sz00),
inference(spm,[status(thm)],[c_0_58,c_0_50]) ).
cnf(c_0_66,hypothesis,
( ~ doDivides0(sz00,xl)
| xn = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_59]),c_0_50]),c_0_35])]) ).
cnf(c_0_67,plain,
( ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,sz00)
| sdtpldt0(X1,sz00) = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_60]),c_0_35])]) ).
cnf(c_0_68,plain,
( ~ aNaturalNumber0(X1)
| sdtlseqdt0(sz00,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_35])]) ).
cnf(c_0_69,hypothesis,
xm = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_64]),c_0_65])]) ).
cnf(c_0_70,hypothesis,
xn = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_64]),c_0_65])]) ).
cnf(c_0_71,plain,
sdtpldt0(sz00,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_35])]) ).
cnf(c_0_72,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_64]),c_0_69]),c_0_70]),c_0_71]),c_0_65])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM469+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n005.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 02:32:33 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 0.19/0.49 % Version: 3.5.1
% 0.19/0.49 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.49 % Starting new_bool_3 with 300s (1) cores
% 0.19/0.49 % Starting new_bool_1 with 300s (1) cores
% 0.19/0.49 % Starting sh5l with 300s (1) cores
% 0.19/0.49 % new_bool_3 with pid 2360651 completed with status 0
% 0.19/0.49 % Result found by new_bool_3
% 0.19/0.49 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.49 % Starting new_bool_3 with 300s (1) cores
% 0.19/0.49 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.19/0.49 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.49 % Search class: FGUSF-FFMM22-MFFFFFNN
% 0.19/0.49 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.49 % Starting SubtermCWHack with 31s (1) cores
% 0.19/0.49 % SubtermCWHack with pid 2360655 completed with status 0
% 0.19/0.49 % Result found by SubtermCWHack
% 0.19/0.49 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.49 % Starting new_bool_3 with 300s (1) cores
% 0.19/0.49 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.19/0.49 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.49 % Search class: FGUSF-FFMM22-MFFFFFNN
% 0.19/0.49 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.49 % Starting SubtermCWHack with 31s (1) cores
% 0.19/0.49 % Preprocessing time : 0.002 s
% 0.19/0.49
% 0.19/0.49 % Proof found!
% 0.19/0.49 % SZS status Theorem
% 0.19/0.49 % SZS output start CNFRefutation
% See solution above
% 0.19/0.49 % Parsed axioms : 36
% 0.19/0.49 % Removed by relevancy pruning/SinE : 6
% 0.19/0.49 % Initial clauses : 52
% 0.19/0.49 % Removed in clause preprocessing : 1
% 0.19/0.49 % Initial clauses in saturation : 51
% 0.19/0.49 % Processed clauses : 381
% 0.19/0.49 % ...of these trivial : 4
% 0.19/0.49 % ...subsumed : 222
% 0.19/0.49 % ...remaining for further processing : 154
% 0.19/0.49 % Other redundant clauses eliminated : 19
% 0.19/0.49 % Clauses deleted for lack of memory : 0
% 0.19/0.49 % Backward-subsumed : 9
% 0.19/0.49 % Backward-rewritten : 76
% 0.19/0.49 % Generated clauses : 864
% 0.19/0.49 % ...of the previous two non-redundant : 776
% 0.19/0.49 % ...aggressively subsumed : 0
% 0.19/0.49 % Contextual simplify-reflections : 4
% 0.19/0.49 % Paramodulations : 841
% 0.19/0.49 % Factorizations : 0
% 0.19/0.49 % NegExts : 0
% 0.19/0.49 % Equation resolutions : 23
% 0.19/0.49 % Disequality decompositions : 0
% 0.19/0.49 % Total rewrite steps : 860
% 0.19/0.49 % ...of those cached : 844
% 0.19/0.49 % Propositional unsat checks : 0
% 0.19/0.49 % Propositional check models : 0
% 0.19/0.49 % Propositional check unsatisfiable : 0
% 0.19/0.49 % Propositional clauses : 0
% 0.19/0.49 % Propositional clauses after purity: 0
% 0.19/0.49 % Propositional unsat core size : 0
% 0.19/0.49 % Propositional preprocessing time : 0.000
% 0.19/0.49 % Propositional encoding time : 0.000
% 0.19/0.49 % Propositional solver time : 0.000
% 0.19/0.49 % Success case prop preproc time : 0.000
% 0.19/0.49 % Success case prop encoding time : 0.000
% 0.19/0.49 % Success case prop solver time : 0.000
% 0.19/0.49 % Current number of processed clauses : 63
% 0.19/0.49 % Positive orientable unit clauses : 8
% 0.19/0.49 % Positive unorientable unit clauses: 0
% 0.19/0.49 % Negative unit clauses : 0
% 0.19/0.49 % Non-unit-clauses : 55
% 0.19/0.49 % Current number of unprocessed clauses: 437
% 0.19/0.49 % ...number of literals in the above : 2418
% 0.19/0.49 % Current number of archived formulas : 0
% 0.19/0.49 % Current number of archived clauses : 85
% 0.19/0.49 % Clause-clause subsumption calls (NU) : 1965
% 0.19/0.49 % Rec. Clause-clause subsumption calls : 932
% 0.19/0.49 % Non-unit clause-clause subsumptions : 235
% 0.19/0.49 % Unit Clause-clause subsumption calls : 24
% 0.19/0.49 % Rewrite failures with RHS unbound : 0
% 0.19/0.49 % BW rewrite match attempts : 5
% 0.19/0.49 % BW rewrite match successes : 5
% 0.19/0.49 % Condensation attempts : 0
% 0.19/0.49 % Condensation successes : 0
% 0.19/0.49 % Termbank termtop insertions : 17862
% 0.19/0.49 % Search garbage collected termcells : 903
% 0.19/0.49
% 0.19/0.49 % -------------------------------------------------
% 0.19/0.49 % User time : 0.028 s
% 0.19/0.49 % System time : 0.006 s
% 0.19/0.49 % Total time : 0.034 s
% 0.19/0.49 % Maximum resident set size: 3672 pages
% 0.19/0.49
% 0.19/0.49 % -------------------------------------------------
% 0.19/0.49 % User time : 0.033 s
% 0.19/0.49 % System time : 0.011 s
% 0.19/0.49 % Total time : 0.044 s
% 0.19/0.49 % Maximum resident set size: 4608 pages
% 0.19/0.49 % E exiting
%------------------------------------------------------------------------------