%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUM502+3 : 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 : n026.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 01:49:20 PM UTC 2026
% Result : Theorem 13.55s 2.19s
% Output : CNFRefutation 13.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 23
% Syntax : Number of formulae : 127 ( 37 unt; 0 def)
% Number of atoms : 518 ( 194 equ)
% Maximal formula atoms : 28 ( 4 avg)
% Number of connectives : 611 ( 220 ~; 216 |; 140 &)
% ( 1 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 13 con; 0-2 aty)
% Number of variables : 145 ( 1 sgn 73 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mMulCanc,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( X1 != sz00
=> ! [X2,X3] :
( ( aNaturalNumber0(X3)
& aNaturalNumber0(X2) )
=> ( ( sdtasdt0(X2,X1) = sdtasdt0(X3,X1)
| sdtasdt0(X1,X2) = sdtasdt0(X1,X3) )
=> X2 = X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulCanc) ).
fof(m__2342,hypothesis,
( isPrime0(xr)
& ! [X1] :
( ( ( doDivides0(X1,xr)
| ? [X2] :
( xr = sdtasdt0(X1,X2)
& aNaturalNumber0(X2) ) )
& aNaturalNumber0(X1) )
=> ( X1 = xr
| X1 = sz10 ) )
& xr != sz10
& xr != sz00
& doDivides0(xr,xk)
& ? [X1] :
( xk = sdtasdt0(xr,X1)
& aNaturalNumber0(X1) )
& aNaturalNumber0(xr) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2342) ).
fof(mSortsC_01,axiom,
( sz10 != sz00
& aNaturalNumber0(sz10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
fof(mLETotal,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( ( sdtlseqdt0(X2,X1)
& X2 != X1 )
| sdtlseqdt0(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETotal) ).
fof(m_MulUnit,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( X1 = sdtasdt0(sz10,X1)
& sdtasdt0(X1,sz10) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulUnit) ).
fof(m__,conjecture,
( ( sdtlseqdt0(xk,xp)
| ? [X1] :
( sdtpldt0(xk,X1) = xp
& aNaturalNumber0(X1) ) )
& xk != xp ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m__1860,hypothesis,
( doDivides0(xp,sdtasdt0(xn,xm))
& ? [X1] :
( sdtasdt0(xn,xm) = sdtasdt0(xp,X1)
& aNaturalNumber0(X1) )
& isPrime0(xp)
& ! [X1] :
( ( ( doDivides0(X1,xp)
| ? [X2] :
( xp = sdtasdt0(X1,X2)
& aNaturalNumber0(X2) ) )
& aNaturalNumber0(X1) )
=> ( X1 = xp
| X1 = sz10 ) )
& xp != sz10
& xp != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1860) ).
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__2306,hypothesis,
( xk = sdtsldt0(sdtasdt0(xn,xm),xp)
& sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
& aNaturalNumber0(xk) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2306) ).
fof(m__1837,hypothesis,
( aNaturalNumber0(xp)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
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(m__2362,hypothesis,
( doDivides0(xr,sdtasdt0(xn,xm))
& ? [X1] :
( sdtasdt0(xn,xm) = sdtasdt0(xr,X1)
& aNaturalNumber0(X1) )
& ? [X1] :
( sdtpldt0(xr,X1) = xk
& aNaturalNumber0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2362) ).
fof(mMonMul,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X3)
& aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( ( sdtlseqdt0(X2,X3)
& X2 != X3
& X1 != sz00 )
=> ( sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1))
& sdtasdt0(X2,X1) != sdtasdt0(X3,X1)
& sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& sdtasdt0(X1,X2) != sdtasdt0(X1,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonMul) ).
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(m_MulZero,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( sz00 = sdtasdt0(sz00,X1)
& sdtasdt0(X1,sz00) = sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulZero) ).
fof(mZeroMul,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( sdtasdt0(X1,X2) = sz00
=> ( X2 = sz00
| X1 = sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroMul) ).
fof(mLEAsym,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( ( sdtlseqdt0(X2,X1)
& sdtlseqdt0(X1,X2) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEAsym) ).
fof(m__2287,hypothesis,
( sdtlseqdt0(xm,xp)
& ? [X1] :
( sdtpldt0(xm,X1) = xp
& aNaturalNumber0(X1) )
& xm != xp
& sdtlseqdt0(xn,xp)
& ? [X1] :
( sdtpldt0(xn,X1) = xp
& aNaturalNumber0(X1) )
& xn != xp ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2287) ).
fof(m__2075,hypothesis,
~ ( sdtlseqdt0(xp,xm)
| ? [X1] :
( sdtpldt0(xp,X1) = xm
& aNaturalNumber0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2075) ).
fof(mSortsC,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',mDivTrans) ).
fof(m__2315,hypothesis,
~ ( xk = sz10
| xk = sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2315) ).
fof(c_0_23,plain,
! [X1] :
( aNaturalNumber0(X1)
=> ( X1 != sz00
=> ! [X2,X3] :
( ( aNaturalNumber0(X3)
& aNaturalNumber0(X2) )
=> ( ( sdtasdt0(X2,X1) = sdtasdt0(X3,X1)
| sdtasdt0(X1,X2) = sdtasdt0(X1,X3) )
=> X2 = X3 ) ) ) ),
inference(fof_simplification,[status(thm)],[mMulCanc]) ).
fof(c_0_24,hypothesis,
( isPrime0(xr)
& ! [X1] :
( ( ( doDivides0(X1,xr)
| ? [X2] :
( xr = sdtasdt0(X1,X2)
& aNaturalNumber0(X2) ) )
& aNaturalNumber0(X1) )
=> ( X1 = xr
| X1 = sz10 ) )
& xr != sz10
& xr != sz00
& doDivides0(xr,xk)
& ? [X1] :
( xk = sdtasdt0(xr,X1)
& aNaturalNumber0(X1) )
& aNaturalNumber0(xr) ),
inference(fof_simplification,[status(thm)],[m__2342]) ).
fof(c_0_25,plain,
! [X54,X55,X56] :
( ( ~ aNaturalNumber0(X54)
| X54 = sz00
| ~ aNaturalNumber0(X56)
| ~ aNaturalNumber0(X55)
| X55 = X56
| sdtasdt0(X55,X54) != sdtasdt0(X56,X54) )
& ( ~ aNaturalNumber0(X54)
| X54 = sz00
| ~ aNaturalNumber0(X56)
| ~ aNaturalNumber0(X55)
| X55 = X56
| sdtasdt0(X54,X55) != sdtasdt0(X54,X56) ) ),
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_26,hypothesis,
! [X22,X23] :
( isPrime0(xr)
& ( X22 = xr
| X22 = sz10
| ~ aNaturalNumber0(X22)
| ~ doDivides0(X22,xr) )
& ( X22 = xr
| X22 = sz10
| ~ aNaturalNumber0(X22)
| xr != sdtasdt0(X22,X23)
| ~ aNaturalNumber0(X23) )
& xr != sz10
& xr != sz00
& doDivides0(xr,xk)
& xk = sdtasdt0(xr,esk8_0)
& aNaturalNumber0(esk8_0)
& aNaturalNumber0(xr) ),
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_24])])])])])]) ).
fof(c_0_27,plain,
( sz10 != sz00
& aNaturalNumber0(sz10) ),
inference(fof_simplification,[status(thm)],[mSortsC_01]) ).
fof(c_0_28,plain,
! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( ( sdtlseqdt0(X2,X1)
& X2 != X1 )
| sdtlseqdt0(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[mLETotal]) ).
cnf(c_0_29,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) != sdtasdt0(X1,X3)
| X1 = sz00
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_30,hypothesis,
xk = sdtasdt0(xr,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_31,hypothesis,
aNaturalNumber0(esk8_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_32,hypothesis,
aNaturalNumber0(xr),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_33,hypothesis,
xr != sz00,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_34,plain,
! [X93] :
( ( ~ aNaturalNumber0(X93)
| X93 = sdtasdt0(sz10,X93) )
& ( ~ aNaturalNumber0(X93)
| sdtasdt0(X93,sz10) = X93 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_MulUnit])])])]) ).
fof(c_0_35,plain,
( sz10 != sz00
& aNaturalNumber0(sz10) ),
inference(fof_nnf,[status(thm)],[c_0_27]) ).
fof(c_0_36,negated_conjecture,
~ ( ( sdtlseqdt0(xk,xp)
| ? [X1] :
( sdtpldt0(xk,X1) = xp
& aNaturalNumber0(X1) ) )
& xk != xp ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_37,plain,
! [X101,X102] :
( ( ~ aNaturalNumber0(X102)
| ~ aNaturalNumber0(X101)
| sdtlseqdt0(X101,X102)
| sdtlseqdt0(X102,X101) )
& ( ~ aNaturalNumber0(X102)
| ~ aNaturalNumber0(X101)
| sdtlseqdt0(X101,X102)
| X102 != X101 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])]) ).
fof(c_0_38,hypothesis,
( doDivides0(xp,sdtasdt0(xn,xm))
& ? [X1] :
( sdtasdt0(xn,xm) = sdtasdt0(xp,X1)
& aNaturalNumber0(X1) )
& isPrime0(xp)
& ! [X1] :
( ( ( doDivides0(X1,xp)
| ? [X2] :
( xp = sdtasdt0(X1,X2)
& aNaturalNumber0(X2) ) )
& aNaturalNumber0(X1) )
=> ( X1 = xp
| X1 = sz10 ) )
& xp != sz10
& xp != sz00 ),
inference(fof_simplification,[status(thm)],[m__1860]) ).
fof(c_0_39,plain,
! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( X1 != sz00
=> sdtlseqdt0(X2,sdtasdt0(X2,X1)) ) ),
inference(fof_simplification,[status(thm)],[mMonMul2]) ).
cnf(c_0_40,hypothesis,
( ~ aNaturalNumber0(X1)
| sdtasdt0(xr,X1) != xk
| X1 = esk8_0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]),c_0_32])]),c_0_33]) ).
cnf(c_0_41,plain,
( ~ aNaturalNumber0(X1)
| sdtasdt0(X1,sz10) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_42,plain,
aNaturalNumber0(sz10),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_43,negated_conjecture,
~ ( ( sdtlseqdt0(xk,xp)
| ? [X1] :
( sdtpldt0(xk,X1) = xp
& aNaturalNumber0(X1) ) )
& xk != xp ),
inference(fof_simplification,[status(thm)],[c_0_36]) ).
cnf(c_0_44,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_45,hypothesis,
aNaturalNumber0(xk),
inference(split_conjunct,[status(thm)],[m__2306]) ).
fof(c_0_46,hypothesis,
! [X14,X15] :
( doDivides0(xp,sdtasdt0(xn,xm))
& sdtasdt0(xn,xm) = sdtasdt0(xp,esk5_0)
& aNaturalNumber0(esk5_0)
& isPrime0(xp)
& ( X14 = xp
| X14 = sz10
| ~ aNaturalNumber0(X14)
| ~ doDivides0(X14,xp) )
& ( X14 = xp
| X14 = sz10
| ~ aNaturalNumber0(X14)
| xp != sdtasdt0(X14,X15)
| ~ aNaturalNumber0(X15) )
& xp != sz10
& xp != 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_38])])])])])]) ).
fof(c_0_47,plain,
! [X62,X63] :
( sdtlseqdt0(X63,sdtasdt0(X63,X62))
| X62 = sz00
| ~ aNaturalNumber0(X63)
| ~ aNaturalNumber0(X62) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])]) ).
cnf(c_0_48,hypothesis,
( xr != xk
| esk8_0 = sz10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]),c_0_32])]) ).
fof(c_0_49,negated_conjecture,
! [X26] :
( ( xk = xp
| ~ sdtlseqdt0(xk,xp) )
& ( xk = xp
| sdtpldt0(xk,X26) != xp
| ~ aNaturalNumber0(X26) ) ),
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_43])])])])]) ).
cnf(c_0_50,hypothesis,
( ~ aNaturalNumber0(X1)
| sdtlseqdt0(X1,xk)
| sdtlseqdt0(xk,X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_51,hypothesis,
aNaturalNumber0(xp),
inference(split_conjunct,[status(thm)],[m__1837]) ).
fof(c_0_52,plain,
! [X28,X29,X31] :
( ( ~ aNaturalNumber0(X29)
| ~ aNaturalNumber0(X28)
| doDivides0(X28,X29)
| X29 != sdtasdt0(X28,X31)
| ~ aNaturalNumber0(X31) )
& ( ~ aNaturalNumber0(X29)
| ~ aNaturalNumber0(X28)
| ~ doDivides0(X28,X29)
| X29 = sdtasdt0(X28,esk11_2(X28,X29)) )
& ( ~ aNaturalNumber0(X29)
| ~ aNaturalNumber0(X28)
| ~ doDivides0(X28,X29)
| aNaturalNumber0(esk11_2(X28,X29)) ) ),
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_53,plain,
! [X43,X44] :
( aNaturalNumber0(sdtasdt0(X43,X44))
| ~ aNaturalNumber0(X44)
| ~ aNaturalNumber0(X43) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])])]) ).
fof(c_0_54,hypothesis,
( doDivides0(xr,sdtasdt0(xn,xm))
& sdtasdt0(xn,xm) = sdtasdt0(xr,esk10_0)
& aNaturalNumber0(esk10_0)
& sdtpldt0(xr,esk9_0) = xk
& aNaturalNumber0(esk9_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__2362])]) ).
cnf(c_0_55,hypothesis,
sdtasdt0(xn,xm) = sdtasdt0(xp,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_56,hypothesis,
sdtasdt0(xn,xm) = sdtasdt0(xp,xk),
inference(split_conjunct,[status(thm)],[m__2306]) ).
fof(c_0_57,plain,
! [X1,X2,X3] :
( ( aNaturalNumber0(X3)
& aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( ( sdtlseqdt0(X2,X3)
& X2 != X3
& X1 != sz00 )
=> ( sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1))
& sdtasdt0(X2,X1) != sdtasdt0(X3,X1)
& sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& sdtasdt0(X1,X2) != sdtasdt0(X1,X3) ) ) ),
inference(fof_simplification,[status(thm)],[mMonMul]) ).
fof(c_0_58,plain,
! [X98,X99,X100] :
( sdtlseqdt0(X98,X100)
| ~ sdtlseqdt0(X99,X100)
| ~ sdtlseqdt0(X98,X99)
| ~ aNaturalNumber0(X100)
| ~ aNaturalNumber0(X99)
| ~ aNaturalNumber0(X98) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETran])])]) ).
cnf(c_0_59,hypothesis,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_60,plain,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X2,sdtasdt0(X2,X1))
| X1 = sz00 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_61,hypothesis,
( xr != xk
| sdtasdt0(xr,sz10) = xk ),
inference(spm,[status(thm)],[c_0_30,c_0_48]) ).
cnf(c_0_62,plain,
sz10 != sz00,
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_63,hypothesis,
( ~ aNaturalNumber0(X2)
| xp != sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| X2 = xp
| X2 = sz10 ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_64,hypothesis,
xr != sz10,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_65,negated_conjecture,
( ~ sdtlseqdt0(xk,xp)
| xk = xp ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_66,hypothesis,
( sdtlseqdt0(xk,xp)
| sdtlseqdt0(xp,xk) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
fof(c_0_67,plain,
! [X50] :
( ( ~ aNaturalNumber0(X50)
| sz00 = sdtasdt0(sz00,X50) )
& ( ~ aNaturalNumber0(X50)
| sdtasdt0(X50,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_68,plain,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| X2 != sdtasdt0(X3,X1)
| ~ aNaturalNumber0(X1)
| doDivides0(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_69,plain,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(sdtasdt0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_70,hypothesis,
sdtasdt0(xn,xm) = sdtasdt0(xr,esk10_0),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
fof(c_0_71,plain,
! [X57,X58] :
( X58 = sz00
| X57 = sz00
| sdtasdt0(X57,X58) != sz00
| ~ aNaturalNumber0(X58)
| ~ aNaturalNumber0(X57) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroMul])])]) ).
cnf(c_0_72,hypothesis,
sdtasdt0(xp,esk5_0) = sdtasdt0(xp,xk),
inference(rw,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_73,hypothesis,
aNaturalNumber0(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_74,hypothesis,
xp != sz00,
inference(split_conjunct,[status(thm)],[c_0_46]) ).
fof(c_0_75,plain,
! [X96,X97] :
( X96 = X97
| ~ sdtlseqdt0(X97,X96)
| ~ sdtlseqdt0(X96,X97)
| ~ aNaturalNumber0(X97)
| ~ aNaturalNumber0(X96) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEAsym])])]) ).
fof(c_0_76,plain,
! [X59,X60,X61] :
( ( ~ aNaturalNumber0(X61)
| ~ aNaturalNumber0(X60)
| ~ aNaturalNumber0(X59)
| ~ sdtlseqdt0(X60,X61)
| X60 = X61
| X59 = sz00
| sdtlseqdt0(sdtasdt0(X60,X59),sdtasdt0(X61,X59)) )
& ( ~ aNaturalNumber0(X61)
| ~ aNaturalNumber0(X60)
| ~ aNaturalNumber0(X59)
| ~ sdtlseqdt0(X60,X61)
| X60 = X61
| X59 = sz00
| sdtasdt0(X60,X59) != sdtasdt0(X61,X59) )
& ( ~ aNaturalNumber0(X61)
| ~ aNaturalNumber0(X60)
| ~ aNaturalNumber0(X59)
| ~ sdtlseqdt0(X60,X61)
| X60 = X61
| X59 = sz00
| sdtlseqdt0(sdtasdt0(X59,X60),sdtasdt0(X59,X61)) )
& ( ~ aNaturalNumber0(X61)
| ~ aNaturalNumber0(X60)
| ~ aNaturalNumber0(X59)
| ~ sdtlseqdt0(X60,X61)
| X60 = X61
| X59 = sz00
| sdtasdt0(X59,X60) != sdtasdt0(X59,X61) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_57])])])]) ).
fof(c_0_77,hypothesis,
( sdtlseqdt0(xm,xp)
& ? [X1] :
( sdtpldt0(xm,X1) = xp
& aNaturalNumber0(X1) )
& xm != xp
& sdtlseqdt0(xn,xp)
& ? [X1] :
( sdtpldt0(xn,X1) = xp
& aNaturalNumber0(X1) )
& xn != xp ),
inference(fof_simplification,[status(thm)],[m__2287]) ).
cnf(c_0_78,plain,
( ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_79,hypothesis,
( sdtlseqdt0(xk,xm)
| sdtlseqdt0(xm,xk) ),
inference(spm,[status(thm)],[c_0_50,c_0_59]) ).
cnf(c_0_80,hypothesis,
( xr != xk
| sdtlseqdt0(xr,xk) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_32]),c_0_42])]),c_0_62]) ).
cnf(c_0_81,hypothesis,
( xk != xp
| xr = xp ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_30]),c_0_32]),c_0_31])]),c_0_64]) ).
cnf(c_0_82,negated_conjecture,
( sdtlseqdt0(xp,xk)
| xk = xp ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
fof(c_0_83,hypothesis,
! [X18] :
( ~ sdtlseqdt0(xp,xm)
& ( sdtpldt0(xp,X18) != xm
| ~ aNaturalNumber0(X18) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2075])])])]) ).
cnf(c_0_84,plain,
( ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sz00,X1) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_85,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X1 = sdtasdt0(X2,esk11_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_86,plain,
aNaturalNumber0(sz00),
inference(split_conjunct,[status(thm)],[mSortsC]) ).
fof(c_0_87,plain,
! [X32,X33,X34] :
( doDivides0(X32,X34)
| ~ doDivides0(X33,X34)
| ~ doDivides0(X32,X33)
| ~ aNaturalNumber0(X34)
| ~ aNaturalNumber0(X33)
| ~ aNaturalNumber0(X32) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivTrans])])]) ).
cnf(c_0_88,plain,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| doDivides0(X1,sdtasdt0(X1,X2)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_68]),c_0_69]) ).
cnf(c_0_89,hypothesis,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_90,hypothesis,
sdtasdt0(xr,esk10_0) = sdtasdt0(xp,xk),
inference(rw,[status(thm)],[c_0_70,c_0_56]) ).
cnf(c_0_91,hypothesis,
aNaturalNumber0(esk10_0),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_92,plain,
( sdtasdt0(X1,X2) != sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = sz00
| X1 = sz00 ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_93,hypothesis,
( ~ aNaturalNumber0(X1)
| sdtasdt0(xp,X1) != sdtasdt0(xp,xk)
| X1 = esk5_0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_72]),c_0_73]),c_0_51])]),c_0_74]) ).
fof(c_0_94,hypothesis,
( xk != sz10
& xk != sz00 ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2315])]) ).
cnf(c_0_95,plain,
( ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_96,plain,
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X3)
| X1 = X3
| X2 = sz00
| sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_97,plain,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X2) != sdtasdt0(X3,X2)
| X2 = sz00
| X1 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_98,plain,
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X2,X3)
| X2 = X3
| X1 = sz00
| sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
fof(c_0_99,hypothesis,
( sdtlseqdt0(xm,xp)
& sdtpldt0(xm,esk7_0) = xp
& aNaturalNumber0(esk7_0)
& xm != xp
& sdtlseqdt0(xn,xp)
& sdtpldt0(xn,esk6_0) = xp
& aNaturalNumber0(esk6_0)
& xn != xp ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_77])])]) ).
cnf(c_0_100,hypothesis,
( ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,xk)
| sdtlseqdt0(X1,xm)
| sdtlseqdt0(xm,xk) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_59]),c_0_45])]) ).
cnf(c_0_101,hypothesis,
sdtlseqdt0(xp,xk),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82]) ).
cnf(c_0_102,hypothesis,
~ sdtlseqdt0(xp,xm),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_103,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(esk11_2(sz00,X1))
| ~ doDivides0(sz00,X1)
| X1 = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86])]) ).
cnf(c_0_104,plain,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X2)
| aNaturalNumber0(esk11_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_105,plain,
( ~ doDivides0(X2,X3)
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| doDivides0(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_106,hypothesis,
doDivides0(xn,sdtasdt0(xp,xk)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_56]),c_0_89]),c_0_59])]) ).
cnf(c_0_107,hypothesis,
aNaturalNumber0(sdtasdt0(xp,xk)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_90]),c_0_91]),c_0_32])]) ).
cnf(c_0_108,hypothesis,
( sdtasdt0(xp,xk) != sz00
| esk5_0 = sz00 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_72]),c_0_73]),c_0_51])]),c_0_74]) ).
cnf(c_0_109,hypothesis,
esk5_0 = xk,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_93]),c_0_45])]) ).
cnf(c_0_110,hypothesis,
xk != sz00,
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_111,plain,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(sdtasdt0(X3,X1),sdtasdt0(X2,X1))
| X2 = X3
| X1 = sz00 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_69]),c_0_69]),c_0_97]) ).
cnf(c_0_112,hypothesis,
( ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(xm,X1)
| sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xn,X1))
| xm = X1
| xn = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_56]),c_0_59]),c_0_89])]) ).
cnf(c_0_113,hypothesis,
sdtlseqdt0(xn,xp),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_114,hypothesis,
sdtlseqdt0(xm,xk),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_51])]),c_0_102]) ).
cnf(c_0_115,hypothesis,
xn != xp,
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_116,plain,
( ~ aNaturalNumber0(X1)
| ~ doDivides0(sz00,X1)
| X1 = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_86])]) ).
cnf(c_0_117,hypothesis,
( ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,xn)
| doDivides0(X1,sdtasdt0(xp,xk)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_107]),c_0_89])]) ).
cnf(c_0_118,hypothesis,
sdtasdt0(xp,xk) != sz00,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_109]),c_0_110]) ).
cnf(c_0_119,hypothesis,
( xn = sz00
| xk = xm ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_113]),c_0_51]),c_0_45]),c_0_89]),c_0_114])]),c_0_110]),c_0_115]) ).
cnf(c_0_120,hypothesis,
sdtlseqdt0(xm,xp),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_121,hypothesis,
xm != xp,
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_122,plain,
( ~ aNaturalNumber0(X1)
| doDivides0(sz00,sz00) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_84]),c_0_86])]) ).
cnf(c_0_123,hypothesis,
~ doDivides0(sz00,xn),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_107]),c_0_86])]),c_0_118]) ).
cnf(c_0_124,negated_conjecture,
xn = sz00,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_119]),c_0_120])]),c_0_121]) ).
cnf(c_0_125,hypothesis,
doDivides0(sz00,sz00),
inference(spm,[status(thm)],[c_0_122,c_0_91]) ).
cnf(c_0_126,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_124]),c_0_125])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM502+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n026.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 02:38:53 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 13.55/2.19 % Version: 3.5.1
% 13.55/2.19 % Preprocessing class: FSLSSMSSSSSNFFN.
% 13.55/2.19 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 13.55/2.19 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 13.55/2.19 % Starting new_bool_3 with 300s (1) cores
% 13.55/2.19 % Starting new_bool_1 with 300s (1) cores
% 13.55/2.19 % Starting sh5l with 300s (1) cores
% 13.55/2.19 % new_bool_1 with pid 1186644 completed with status 0
% 13.55/2.19 % Result found by new_bool_1
% 13.55/2.19 % Preprocessing class: FSLSSMSSSSSNFFN.
% 13.55/2.19 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 13.55/2.19 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 13.55/2.19 % Starting new_bool_3 with 300s (1) cores
% 13.55/2.19 % Starting new_bool_1 with 300s (1) cores
% 13.55/2.19 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 13.55/2.19 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 13.55/2.19 % Search class: FGHSF-FSLM32-SFFFFFNN
% 13.55/2.19 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 13.55/2.19 % Starting SubtermCWHack with 28s (1) cores
% 13.55/2.19 % SubtermCWHack with pid 1186649 completed with status 0
% 13.55/2.19 % Result found by SubtermCWHack
% 13.55/2.19 % Preprocessing class: FSLSSMSSSSSNFFN.
% 13.55/2.19 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 13.55/2.19 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 13.55/2.19 % Starting new_bool_3 with 300s (1) cores
% 13.55/2.19 % Starting new_bool_1 with 300s (1) cores
% 13.55/2.19 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 13.55/2.19 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 13.55/2.19 % Search class: FGHSF-FSLM32-SFFFFFNN
% 13.55/2.19 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 13.55/2.19 % Starting SubtermCWHack with 28s (1) cores
% 13.55/2.19 % Preprocessing time : 0.004 s
% 13.55/2.19
% 13.55/2.19 % Proof found!
% 13.55/2.19 % SZS status Theorem
% 13.55/2.19 % SZS output start CNFRefutation
% See solution above
% 13.55/2.19 % Parsed axioms : 50
% 13.55/2.19 % Removed by relevancy pruning/SinE : 1
% 13.55/2.19 % Initial clauses : 239
% 13.55/2.19 % Removed in clause preprocessing : 3
% 13.55/2.19 % Initial clauses in saturation : 236
% 13.55/2.19 % Processed clauses : 6371
% 13.55/2.19 % ...of these trivial : 193
% 13.55/2.19 % ...subsumed : 3139
% 13.55/2.19 % ...remaining for further processing : 3039
% 13.55/2.19 % Other redundant clauses eliminated : 393
% 13.55/2.19 % Clauses deleted for lack of memory : 0
% 13.55/2.19 % Backward-subsumed : 673
% 13.55/2.19 % Backward-rewritten : 697
% 13.55/2.19 % Generated clauses : 46541
% 13.55/2.19 % ...of the previous two non-redundant : 40659
% 13.55/2.19 % ...aggressively subsumed : 0
% 13.55/2.19 % Contextual simplify-reflections : 99
% 13.55/2.19 % Paramodulations : 46112
% 13.55/2.19 % Factorizations : 3
% 13.55/2.19 % NegExts : 0
% 13.55/2.19 % Equation resolutions : 409
% 13.55/2.19 % Disequality decompositions : 0
% 13.55/2.19 % Total rewrite steps : 51499
% 13.55/2.19 % ...of those cached : 51307
% 13.55/2.19 % Propositional unsat checks : 0
% 13.55/2.19 % Propositional check models : 0
% 13.55/2.19 % Propositional check unsatisfiable : 0
% 13.55/2.19 % Propositional clauses : 0
% 13.55/2.19 % Propositional clauses after purity: 0
% 13.55/2.19 % Propositional unsat core size : 0
% 13.55/2.19 % Propositional preprocessing time : 0.000
% 13.55/2.19 % Propositional encoding time : 0.000
% 13.55/2.19 % Propositional solver time : 0.000
% 13.55/2.19 % Success case prop preproc time : 0.000
% 13.55/2.19 % Success case prop encoding time : 0.000
% 13.55/2.19 % Success case prop solver time : 0.000
% 13.55/2.19 % Current number of processed clauses : 1644
% 13.55/2.19 % Positive orientable unit clauses : 213
% 13.55/2.19 % Positive unorientable unit clauses: 0
% 13.55/2.19 % Negative unit clauses : 30
% 13.55/2.19 % Non-unit-clauses : 1401
% 13.55/2.19 % Current number of unprocessed clauses: 33853
% 13.55/2.19 % ...number of literals in the above : 211774
% 13.55/2.19 % Current number of archived formulas : 0
% 13.55/2.19 % Current number of archived clauses : 1387
% 13.55/2.19 % Clause-clause subsumption calls (NU) : 805409
% 13.55/2.19 % Rec. Clause-clause subsumption calls : 319360
% 13.55/2.19 % Non-unit clause-clause subsumptions : 3321
% 13.55/2.19 % Unit Clause-clause subsumption calls : 23568
% 13.55/2.19 % Rewrite failures with RHS unbound : 0
% 13.55/2.19 % BW rewrite match attempts : 777
% 13.55/2.19 % BW rewrite match successes : 71
% 13.55/2.19 % Condensation attempts : 0
% 13.55/2.19 % Condensation successes : 0
% 13.55/2.19 % Termbank termtop insertions : 917749
% 13.55/2.19 % Search garbage collected termcells : 2366
% 13.55/2.19
% 13.55/2.19 % -------------------------------------------------
% 13.55/2.19 % User time : 1.697 s
% 13.55/2.19 % System time : 0.042 s
% 13.55/2.19 % Total time : 1.739 s
% 13.55/2.19 % Maximum resident set size: 4216 pages
% 13.55/2.19
% 13.55/2.19 % -------------------------------------------------
% 13.55/2.19 % User time : 1.701 s
% 13.55/2.19 % System time : 0.046 s
% 13.55/2.19 % Total time : 1.747 s
% 13.55/2.19 % Maximum resident set size: 4864 pages
% 13.55/2.19 % E exiting
%------------------------------------------------------------------------------