%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUM512+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 01:49:22 PM UTC 2026
% Result : Theorem 0.13s 5.47s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 23
% Syntax : Number of formulae : 116 ( 22 unt; 0 def)
% Number of atoms : 459 ( 165 equ)
% Maximal formula atoms : 32 ( 3 avg)
% Number of connectives : 557 ( 214 ~; 226 |; 79 &)
% ( 6 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 126 ( 0 sgn 72 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mMonAdd,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( ( sdtlseqdt0(X1,X2)
& X1 != X2 )
=> ! [X3] :
( aNaturalNumber0(X3)
=> ( sdtlseqdt0(sdtpldt0(X1,X3),sdtpldt0(X2,X3))
& sdtpldt0(X1,X3) != sdtpldt0(X2,X3)
& sdtlseqdt0(sdtpldt0(X3,X1),sdtpldt0(X3,X2))
& sdtpldt0(X3,X1) != sdtpldt0(X3,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonAdd) ).
fof(m__2287,hypothesis,
( sdtlseqdt0(xm,xp)
& xm != xp
& sdtlseqdt0(xn,xp)
& xn != xp ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2287) ).
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/sandbox/benchmark/theBenchmark.p',mDefQuot) ).
fof(mDefDiv,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( doDivides0(X1,X2)
<=> ? [X3] :
( X2 = sdtasdt0(X1,X3)
& aNaturalNumber0(X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiv) ).
fof(mSortsB_02,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(mMonMul2,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( X1 != sz00
=> sdtlseqdt0(X2,sdtasdt0(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonMul2) ).
fof(m__1837,hypothesis,
( aNaturalNumber0(xp)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(m_AddZero,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( X1 = sdtpldt0(sz00,X1)
& sdtpldt0(X1,sz00) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_AddZero) ).
fof(m__2487,hypothesis,
doDivides0(xr,xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2487) ).
fof(m__2342,hypothesis,
( isPrime0(xr)
& doDivides0(xr,xk)
& aNaturalNumber0(xr) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2342) ).
fof(mDivLE,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( ( X2 != sz00
& doDivides0(X1,X2) )
=> sdtlseqdt0(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivLE) ).
fof(mLETran,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X3)
& aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( ( sdtlseqdt0(X2,X3)
& sdtlseqdt0(X1,X2) )
=> sdtlseqdt0(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETran) ).
fof(mSortsC,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(m__2504,hypothesis,
( sdtlseqdt0(sdtsldt0(xn,xr),xn)
& sdtsldt0(xn,xr) != xn ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2504) ).
fof(m__,conjecture,
( sdtasdt0(xn,xm) = sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr)
& sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr) = sdtasdt0(xn,xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(mMulComm,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
fof(m__1860,hypothesis,
( doDivides0(xp,sdtasdt0(xn,xm))
& isPrime0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1860) ).
fof(m__2306,hypothesis,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2306) ).
fof(m__2362,hypothesis,
( doDivides0(xr,sdtasdt0(xn,xm))
& sdtlseqdt0(xr,xk) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2362) ).
fof(mDefLE,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X1,X2)
<=> ? [X3] :
( sdtpldt0(X1,X3) = X2
& aNaturalNumber0(X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefLE) ).
fof(mZeroAdd,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( sdtpldt0(X1,X2) = sz00
=> ( X2 = sz00
& X1 = sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroAdd) ).
fof(mMulAsso,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X3)
& aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulAsso) ).
fof(mDefPrime,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( isPrime0(X1)
<=> ( ! [X2] :
( ( doDivides0(X2,X1)
& aNaturalNumber0(X2) )
=> ( X2 = X1
| X2 = sz10 ) )
& X1 != sz10
& X1 != sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefPrime) ).
fof(c_0_23,plain,
! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( ( sdtlseqdt0(X1,X2)
& X1 != X2 )
=> ! [X3] :
( aNaturalNumber0(X3)
=> ( sdtlseqdt0(sdtpldt0(X1,X3),sdtpldt0(X2,X3))
& sdtpldt0(X1,X3) != sdtpldt0(X2,X3)
& sdtlseqdt0(sdtpldt0(X3,X1),sdtpldt0(X3,X2))
& sdtpldt0(X3,X1) != sdtpldt0(X3,X2) ) ) ) ),
inference(fof_simplification,[status(thm)],[mMonAdd]) ).
fof(c_0_24,hypothesis,
( sdtlseqdt0(xm,xp)
& xm != xp
& sdtlseqdt0(xn,xp)
& xn != xp ),
inference(fof_simplification,[status(thm)],[m__2287]) ).
fof(c_0_25,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_26,plain,
! [X63,X64,X66] :
( ( ~ aNaturalNumber0(X64)
| ~ aNaturalNumber0(X63)
| doDivides0(X63,X64)
| X64 != sdtasdt0(X63,X66)
| ~ aNaturalNumber0(X66) )
& ( ~ aNaturalNumber0(X64)
| ~ aNaturalNumber0(X63)
| ~ doDivides0(X63,X64)
| X64 = sdtasdt0(X63,esk2_2(X63,X64)) )
& ( ~ aNaturalNumber0(X64)
| ~ aNaturalNumber0(X63)
| ~ doDivides0(X63,X64)
| aNaturalNumber0(esk2_2(X63,X64)) ) ),
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_27,plain,
! [X7,X8] :
( aNaturalNumber0(sdtasdt0(X7,X8))
| ~ aNaturalNumber0(X8)
| ~ aNaturalNumber0(X7) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])])]) ).
fof(c_0_28,plain,
! [X50,X51,X52] :
( ( ~ aNaturalNumber0(X51)
| ~ aNaturalNumber0(X50)
| ~ sdtlseqdt0(X50,X51)
| X50 = X51
| ~ aNaturalNumber0(X52)
| sdtlseqdt0(sdtpldt0(X50,X52),sdtpldt0(X51,X52)) )
& ( ~ aNaturalNumber0(X51)
| ~ aNaturalNumber0(X50)
| ~ sdtlseqdt0(X50,X51)
| X50 = X51
| ~ aNaturalNumber0(X52)
| sdtpldt0(X50,X52) != sdtpldt0(X51,X52) )
& ( ~ aNaturalNumber0(X51)
| ~ aNaturalNumber0(X50)
| ~ sdtlseqdt0(X50,X51)
| X50 = X51
| ~ aNaturalNumber0(X52)
| sdtlseqdt0(sdtpldt0(X52,X50),sdtpldt0(X52,X51)) )
& ( ~ aNaturalNumber0(X51)
| ~ aNaturalNumber0(X50)
| ~ sdtlseqdt0(X50,X51)
| X50 = X51
| ~ aNaturalNumber0(X52)
| sdtpldt0(X52,X50) != sdtpldt0(X52,X51) ) ),
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_29,hypothesis,
( sdtlseqdt0(xm,xp)
& xm != xp
& sdtlseqdt0(xn,xp)
& xn != xp ),
inference(fof_nnf,[status(thm)],[c_0_24]) ).
fof(c_0_30,plain,
! [X67,X68,X69] :
( ( ~ aNaturalNumber0(X68)
| ~ aNaturalNumber0(X67)
| ~ doDivides0(X67,X68)
| X67 = sz00
| X69 = sdtsldt0(X68,X67)
| X68 != sdtasdt0(X67,X69)
| ~ aNaturalNumber0(X69) )
& ( ~ aNaturalNumber0(X68)
| ~ aNaturalNumber0(X67)
| ~ doDivides0(X67,X68)
| X67 = sz00
| X69 != sdtsldt0(X68,X67)
| X68 = sdtasdt0(X67,X69) )
& ( ~ aNaturalNumber0(X68)
| ~ aNaturalNumber0(X67)
| ~ doDivides0(X67,X68)
| X67 = sz00
| X69 != sdtsldt0(X68,X67)
| aNaturalNumber0(X69) ) ),
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_25])])])])]) ).
cnf(c_0_31,plain,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| X2 != sdtasdt0(X3,X1)
| ~ aNaturalNumber0(X1)
| doDivides0(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_32,plain,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(sdtasdt0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_33,plain,
! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( X1 != sz00
=> sdtlseqdt0(X2,sdtasdt0(X2,X1)) ) ),
inference(fof_simplification,[status(thm)],[mMonMul2]) ).
cnf(c_0_34,plain,
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X1)
| X2 = X3
| sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_35,hypothesis,
sdtlseqdt0(xn,xp),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_36,hypothesis,
aNaturalNumber0(xp),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_37,hypothesis,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_38,hypothesis,
xn != xp,
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_39,plain,
! [X14] :
( ( ~ aNaturalNumber0(X14)
| X14 = sdtpldt0(sz00,X14) )
& ( ~ aNaturalNumber0(X14)
| sdtpldt0(X14,sz00) = X14 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_AddZero])])])]) ).
cnf(c_0_40,plain,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X3,X2)
| X2 != sdtasdt0(X3,X1)
| ~ aNaturalNumber0(X1)
| X3 = sz00
| X1 = sdtsldt0(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_41,plain,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| doDivides0(X1,sdtasdt0(X1,X2)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_31]),c_0_32]) ).
cnf(c_0_42,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X1 = sdtasdt0(X2,esk2_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_43,hypothesis,
doDivides0(xr,xn),
inference(split_conjunct,[status(thm)],[m__2487]) ).
cnf(c_0_44,hypothesis,
aNaturalNumber0(xr),
inference(split_conjunct,[status(thm)],[m__2342]) ).
cnf(c_0_45,plain,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X2)
| aNaturalNumber0(esk2_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_46,plain,
! [X57,X58] :
( sdtlseqdt0(X58,sdtasdt0(X58,X57))
| X57 = sz00
| ~ aNaturalNumber0(X58)
| ~ aNaturalNumber0(X57) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])]) ).
fof(c_0_47,plain,
! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( ( X2 != sz00
& doDivides0(X1,X2) )
=> sdtlseqdt0(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[mDivLE]) ).
fof(c_0_48,plain,
! [X45,X46,X47] :
( sdtlseqdt0(X45,X47)
| ~ sdtlseqdt0(X46,X47)
| ~ sdtlseqdt0(X45,X46)
| ~ aNaturalNumber0(X47)
| ~ aNaturalNumber0(X46)
| ~ aNaturalNumber0(X45) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETran])])]) ).
cnf(c_0_49,hypothesis,
( ~ aNaturalNumber0(X1)
| sdtlseqdt0(sdtpldt0(X1,xn),sdtpldt0(X1,xp)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]),c_0_37])]),c_0_38]) ).
cnf(c_0_50,plain,
( ~ aNaturalNumber0(X1)
| X1 = sdtpldt0(sz00,X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_51,plain,
aNaturalNumber0(sz00),
inference(split_conjunct,[status(thm)],[mSortsC]) ).
fof(c_0_52,hypothesis,
( sdtlseqdt0(sdtsldt0(xn,xr),xn)
& sdtsldt0(xn,xr) != xn ),
inference(fof_simplification,[status(thm)],[m__2504]) ).
cnf(c_0_53,plain,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X1 = sz00
| sdtsldt0(sdtasdt0(X1,X2),X1) = X2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_40]),c_0_32]),c_0_41]) ).
cnf(c_0_54,hypothesis,
sdtasdt0(xr,esk2_2(xr,xn)) = xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]),c_0_37])]) ).
cnf(c_0_55,hypothesis,
aNaturalNumber0(esk2_2(xr,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_43]),c_0_37]),c_0_44])]) ).
cnf(c_0_56,plain,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X2,sdtasdt0(X2,X1))
| X1 = sz00 ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
fof(c_0_57,plain,
! [X79,X80] :
( sdtlseqdt0(X79,X80)
| X80 = sz00
| ~ doDivides0(X79,X80)
| ~ aNaturalNumber0(X80)
| ~ aNaturalNumber0(X79) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])])]) ).
fof(c_0_58,negated_conjecture,
~ ( sdtasdt0(xn,xm) = sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr)
& sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr) = sdtasdt0(xn,xm) ),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_59,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X3 != sdtsldt0(X1,X2)
| X2 = sz00
| X1 = sdtasdt0(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_60,plain,
( ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_61,hypothesis,
sdtlseqdt0(sdtpldt0(sz00,xn),xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]),c_0_36])]) ).
fof(c_0_62,hypothesis,
( sdtlseqdt0(sdtsldt0(xn,xr),xn)
& sdtsldt0(xn,xr) != xn ),
inference(fof_nnf,[status(thm)],[c_0_52]) ).
cnf(c_0_63,hypothesis,
( xr = sz00
| esk2_2(xr,xn) = sdtsldt0(xn,xr) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_44]),c_0_55])]) ).
cnf(c_0_64,hypothesis,
( sdtlseqdt0(xr,xn)
| esk2_2(xr,xn) = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_54]),c_0_44]),c_0_55])]) ).
cnf(c_0_65,plain,
( ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X1,X2)
| X2 = sz00 ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
fof(c_0_66,negated_conjecture,
( sdtasdt0(xn,xm) != sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr)
| sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr) != sdtasdt0(xn,xm) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_58])]) ).
fof(c_0_67,plain,
! [X15,X16] :
( sdtasdt0(X15,X16) = sdtasdt0(X16,X15)
| ~ aNaturalNumber0(X16)
| ~ aNaturalNumber0(X15) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])])]) ).
cnf(c_0_68,plain,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X2)
| X1 = sz00
| sdtasdt0(X1,sdtsldt0(X2,X1)) = X2 ),
inference(er,[status(thm)],[c_0_59]) ).
cnf(c_0_69,hypothesis,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(split_conjunct,[status(thm)],[m__1860]) ).
cnf(c_0_70,hypothesis,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
inference(split_conjunct,[status(thm)],[m__2306]) ).
cnf(c_0_71,hypothesis,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ~ sdtlseqdt0(X1,sdtpldt0(sz00,xn))
| sdtlseqdt0(X1,xp) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_36])]) ).
cnf(c_0_72,hypothesis,
sdtsldt0(xn,xr) != xn,
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_73,hypothesis,
( sdtlseqdt0(xr,xn)
| xr = sz00
| sdtsldt0(xn,xr) = sz00 ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_74,hypothesis,
( sdtlseqdt0(xr,xn)
| xn = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_43]),c_0_37]),c_0_44])]) ).
cnf(c_0_75,negated_conjecture,
( sdtasdt0(xn,xm) != sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr)
| sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr) != sdtasdt0(xn,xm) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_76,plain,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_77,hypothesis,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| xp = sz00
| sdtasdt0(xp,xk) = sdtasdt0(xn,xm) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]),c_0_36])]) ).
cnf(c_0_78,hypothesis,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_79,hypothesis,
doDivides0(xr,sdtasdt0(xn,xm)),
inference(split_conjunct,[status(thm)],[m__2362]) ).
cnf(c_0_80,plain,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X3,X2)
| X1 != sdtsldt0(X2,X3)
| X3 = sz00
| aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_81,plain,
! [X35,X36,X38] :
( ( ~ aNaturalNumber0(X36)
| ~ aNaturalNumber0(X35)
| sdtlseqdt0(X35,X36)
| sdtpldt0(X35,X38) != X36
| ~ aNaturalNumber0(X38) )
& ( ~ aNaturalNumber0(X36)
| ~ aNaturalNumber0(X35)
| ~ sdtlseqdt0(X35,X36)
| sdtpldt0(X35,esk1_2(X35,X36)) = X36 )
& ( ~ aNaturalNumber0(X36)
| ~ aNaturalNumber0(X35)
| ~ sdtlseqdt0(X35,X36)
| aNaturalNumber0(esk1_2(X35,X36)) ) ),
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_82,hypothesis,
( ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,xn)
| sdtlseqdt0(X1,xp) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_50]),c_0_37])]) ).
cnf(c_0_83,hypothesis,
( sdtlseqdt0(xr,xn)
| xr = sz00 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74]) ).
cnf(c_0_84,negated_conjecture,
( ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xp,xk),xr))
| sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr) != sdtasdt0(xn,xm)
| sdtasdt0(xr,sdtsldt0(sdtasdt0(xp,xk),xr)) != sdtasdt0(xn,xm) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_44])]) ).
cnf(c_0_85,hypothesis,
( xp = sz00
| sdtasdt0(xp,xk) = sdtasdt0(xn,xm) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_32]),c_0_78]),c_0_37])]) ).
cnf(c_0_86,hypothesis,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| xr = sz00
| sdtasdt0(xr,sdtsldt0(sdtasdt0(xn,xm),xr)) = sdtasdt0(xn,xm) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_79]),c_0_44])]) ).
cnf(c_0_87,plain,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X2)
| aNaturalNumber0(sdtsldt0(X2,X1))
| X1 = sz00 ),
inference(er,[status(thm)],[c_0_80]) ).
fof(c_0_88,plain,
! [X31,X32] :
( ( ~ aNaturalNumber0(X32)
| ~ aNaturalNumber0(X31)
| sdtpldt0(X31,X32) != sz00
| X32 = sz00 )
& ( ~ aNaturalNumber0(X32)
| ~ aNaturalNumber0(X31)
| sdtpldt0(X31,X32) != sz00
| X31 = sz00 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroAdd])])])]) ).
cnf(c_0_89,plain,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X2)
| sdtpldt0(X1,esk1_2(X1,X2)) = X2 ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_90,hypothesis,
( sdtlseqdt0(xr,xp)
| xr = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_44])]) ).
cnf(c_0_91,plain,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X2)
| aNaturalNumber0(esk1_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_92,negated_conjecture,
( ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xr))
| sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr) != sdtasdt0(xn,xm)
| sdtasdt0(xr,sdtsldt0(sdtasdt0(xn,xm),xr)) != sdtasdt0(xn,xm)
| xp = sz00 ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_93,hypothesis,
( xr = sz00
| sdtasdt0(xr,sdtsldt0(sdtasdt0(xn,xm),xr)) = sdtasdt0(xn,xm) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_32]),c_0_78]),c_0_37])]) ).
cnf(c_0_94,hypothesis,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xr))
| xr = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_79]),c_0_44])]) ).
cnf(c_0_95,plain,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X2) != sz00
| X1 = sz00 ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_96,hypothesis,
( xr = sz00
| sdtpldt0(xr,esk1_2(xr,xp)) = xp ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_36]),c_0_44])]) ).
cnf(c_0_97,hypothesis,
( aNaturalNumber0(esk1_2(xr,xp))
| xr = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_90]),c_0_36]),c_0_44])]) ).
cnf(c_0_98,hypothesis,
( ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xr))
| sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr) != sdtasdt0(xn,xm)
| xp = sz00
| xr = sz00 ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_99,hypothesis,
( aNaturalNumber0(sdtsldt0(xn,xr))
| xr = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_43]),c_0_44]),c_0_37])]) ).
cnf(c_0_100,hypothesis,
( aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xr))
| xr = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_32]),c_0_78]),c_0_37])]) ).
cnf(c_0_101,hypothesis,
( xp != sz00
| xr = sz00 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_44])]),c_0_97]) ).
fof(c_0_102,plain,
! [X17,X18,X19] :
( sdtasdt0(sdtasdt0(X17,X18),X19) = sdtasdt0(X17,sdtasdt0(X18,X19))
| ~ aNaturalNumber0(X19)
| ~ aNaturalNumber0(X18)
| ~ aNaturalNumber0(X17) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulAsso])])]) ).
cnf(c_0_103,hypothesis,
( sdtasdt0(sdtasdt0(xm,sdtsldt0(xn,xr)),xr) != sdtasdt0(xn,xm)
| xr = sz00 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_76]),c_0_78])]),c_0_99]),c_0_100]),c_0_101]) ).
cnf(c_0_104,plain,
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_105,hypothesis,
( sdtasdt0(xm,sdtasdt0(sdtsldt0(xn,xr),xr)) != sdtasdt0(xn,xm)
| xr = sz00 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_44]),c_0_78])]),c_0_99]) ).
fof(c_0_106,plain,
! [X1] :
( aNaturalNumber0(X1)
=> ( isPrime0(X1)
<=> ( ! [X2] :
( ( doDivides0(X2,X1)
& aNaturalNumber0(X2) )
=> ( X2 = X1
| X2 = sz10 ) )
& X1 != sz10
& X1 != sz00 ) ) ),
inference(fof_simplification,[status(thm)],[mDefPrime]) ).
cnf(c_0_107,hypothesis,
( sdtasdt0(xm,sdtasdt0(xr,sdtsldt0(xn,xr))) != sdtasdt0(xn,xm)
| xr = sz00 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_76]),c_0_44])]),c_0_99]) ).
cnf(c_0_108,hypothesis,
( xr = sz00
| sdtasdt0(xr,sdtsldt0(xn,xr)) = xn ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_43]),c_0_44]),c_0_37])]) ).
fof(c_0_109,plain,
! [X84,X85] :
( ( ~ aNaturalNumber0(X84)
| isPrime0(X84)
| X84 = sz10
| X84 = sz00
| esk3_1(X84) != X84 )
& ( ~ aNaturalNumber0(X84)
| isPrime0(X84)
| X84 = sz10
| X84 = sz00
| esk3_1(X84) != sz10 )
& ( ~ aNaturalNumber0(X84)
| isPrime0(X84)
| X84 = sz10
| X84 = sz00
| doDivides0(esk3_1(X84),X84) )
& ( ~ aNaturalNumber0(X84)
| isPrime0(X84)
| X84 = sz10
| X84 = sz00
| aNaturalNumber0(esk3_1(X84)) )
& ( ~ aNaturalNumber0(X84)
| ~ isPrime0(X84)
| X85 = X84
| X85 = sz10
| ~ doDivides0(X85,X84)
| ~ aNaturalNumber0(X85) )
& ( ~ aNaturalNumber0(X84)
| ~ isPrime0(X84)
| X84 != sz10 )
& ( ~ aNaturalNumber0(X84)
| ~ isPrime0(X84)
| X84 != sz00 ) ),
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)],[c_0_106])])])])])]) ).
cnf(c_0_110,hypothesis,
( sdtasdt0(xm,xn) != sdtasdt0(xn,xm)
| xr = sz00 ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_111,plain,
( ~ aNaturalNumber0(X1)
| ~ isPrime0(X1)
| X1 != sz00 ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_112,hypothesis,
isPrime0(xr),
inference(split_conjunct,[status(thm)],[m__2342]) ).
cnf(c_0_113,hypothesis,
xr = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_76]),c_0_37]),c_0_78])]) ).
cnf(c_0_114,plain,
~ isPrime0(sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_111]),c_0_51])]) ).
cnf(c_0_115,hypothesis,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_112,c_0_113]),c_0_114]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM512+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/5.37 % Computer : n019.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Mon Sep 21 02:36:41 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/5.41 Running first-order theorem proving
% 0.13/5.41 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.13/5.47 % Version: 3.5.1
% 0.13/5.47 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.13/5.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/5.47 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.13/5.47 % Starting new_bool_3 with 300s (1) cores
% 0.13/5.47 % Starting new_bool_1 with 300s (1) cores
% 0.13/5.47 % Starting sh5l with 300s (1) cores
% 0.13/5.47 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1505826 completed with status 0
% 0.13/5.47 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.13/5.47 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.13/5.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/5.47 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.13/5.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/5.47 % No SInE strategy applied
% 0.13/5.47 % Search class: FGHSF-FFMM21-MFFFFFNN
% 0.13/5.47 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/5.47 % Starting SubtermCWHack with 136s (1) cores
% 0.13/5.47 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.13/5.47 % Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.13/5.47 % Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 136s (1) cores
% 0.13/5.47 % Starting new_bool_3 with 136s (1) cores
% 0.13/5.47 % new_bool_3 with pid 1505834 completed with status 0
% 0.13/5.47 % Result found by new_bool_3
% 0.13/5.47 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.13/5.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/5.47 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.13/5.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/5.47 % No SInE strategy applied
% 0.13/5.47 % Search class: FGHSF-FFMM21-MFFFFFNN
% 0.13/5.47 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/5.47 % Starting SubtermCWHack with 136s (1) cores
% 0.13/5.47 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.13/5.47 % Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.13/5.47 % Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 136s (1) cores
% 0.13/5.47 % Starting new_bool_3 with 136s (1) cores
% 0.13/5.47 % Preprocessing time : 0.001 s
% 0.13/5.47 % Presaturation interreduction done
% 0.13/5.47
% 0.13/5.47 % Proof found!
% 0.13/5.47 % SZS status Theorem
% 0.13/5.47 % SZS output start CNFRefutation
% See solution above
% 0.13/5.48 % Parsed axioms : 54
% 0.13/5.48 % Removed by relevancy pruning/SinE : 0
% 0.13/5.48 % Initial clauses : 99
% 0.13/5.48 % Removed in clause preprocessing : 3
% 0.13/5.48 % Initial clauses in saturation : 96
% 0.13/5.48 % Processed clauses : 679
% 0.13/5.48 % ...of these trivial : 5
% 0.13/5.48 % ...subsumed : 149
% 0.13/5.48 % ...remaining for further processing : 525
% 0.13/5.48 % Other redundant clauses eliminated : 23
% 0.13/5.48 % Clauses deleted for lack of memory : 0
% 0.13/5.48 % Backward-subsumed : 20
% 0.13/5.48 % Backward-rewritten : 152
% 0.13/5.48 % Generated clauses : 1867
% 0.13/5.48 % ...of the previous two non-redundant : 1621
% 0.13/5.48 % ...aggressively subsumed : 0
% 0.13/5.48 % Contextual simplify-reflections : 47
% 0.13/5.48 % Paramodulations : 1838
% 0.13/5.48 % Factorizations : 2
% 0.13/5.48 % NegExts : 0
% 0.13/5.48 % Equation resolutions : 27
% 0.13/5.48 % Disequality decompositions : 0
% 0.13/5.48 % Total rewrite steps : 2601
% 0.13/5.48 % ...of those cached : 2550
% 0.13/5.48 % Propositional unsat checks : 0
% 0.13/5.48 % Propositional check models : 0
% 0.13/5.48 % Propositional check unsatisfiable : 0
% 0.13/5.48 % Propositional clauses : 0
% 0.13/5.48 % Propositional clauses after purity: 0
% 0.13/5.48 % Propositional unsat core size : 0
% 0.13/5.48 % Propositional preprocessing time : 0.000
% 0.13/5.48 % Propositional encoding time : 0.000
% 0.13/5.48 % Propositional solver time : 0.000
% 0.13/5.48 % Success case prop preproc time : 0.000
% 0.13/5.48 % Success case prop encoding time : 0.000
% 0.13/5.48 % Success case prop solver time : 0.000
% 0.13/5.48 % Current number of processed clauses : 254
% 0.13/5.48 % Positive orientable unit clauses : 47
% 0.13/5.48 % Positive unorientable unit clauses: 0
% 0.13/5.48 % Negative unit clauses : 10
% 0.13/5.48 % Non-unit-clauses : 197
% 0.13/5.48 % Current number of unprocessed clauses: 1056
% 0.13/5.48 % ...number of literals in the above : 4836
% 0.13/5.48 % Current number of archived formulas : 0
% 0.13/5.48 % Current number of archived clauses : 260
% 0.13/5.48 % Clause-clause subsumption calls (NU) : 14519
% 0.13/5.48 % Rec. Clause-clause subsumption calls : 6661
% 0.13/5.48 % Non-unit clause-clause subsumptions : 204
% 0.13/5.48 % Unit Clause-clause subsumption calls : 472
% 0.13/5.48 % Rewrite failures with RHS unbound : 0
% 0.13/5.48 % BW rewrite match attempts : 20
% 0.13/5.48 % BW rewrite match successes : 18
% 0.13/5.48 % Condensation attempts : 0
% 0.13/5.48 % Condensation successes : 0
% 0.13/5.48 % Termbank termtop insertions : 39874
% 0.13/5.48 % Search garbage collected termcells : 1365
% 0.13/5.48
% 0.13/5.48 % -------------------------------------------------
% 0.13/5.48 % User time : 0.038 s
% 0.13/5.48 % System time : 0.008 s
% 0.13/5.48 % Total time : 0.046 s
% 0.13/5.48 % Maximum resident set size: 3948 pages
% 0.13/5.48
% 0.13/5.48 % -------------------------------------------------
% 0.13/5.48 % User time : 0.202 s
% 0.13/5.48 % System time : 0.022 s
% 0.13/5.48 % Total time : 0.224 s
% 0.13/5.48 % Maximum resident set size: 4864 pages
% 0.13/5.48 % E exiting
%------------------------------------------------------------------------------