TSTP Solution File: NUM503+3 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : NUM503+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:07:26 EDT 2023
% Result : ContradictoryAxioms 10.61s 1.76s
% Output : CNFRefutation 10.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 23
% Syntax : Number of formulae : 131 ( 44 unt; 0 def)
% Number of atoms : 458 ( 148 equ)
% Maximal formula atoms : 28 ( 3 avg)
% Number of connectives : 531 ( 204 ~; 206 |; 99 &)
% ( 1 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 14 con; 0-2 aty)
% Number of variables : 138 ( 0 sgn; 63 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mDefLE,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& sdtpldt0(X1,X3) = X2 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Do6r0Sw67w/E---3.1_850.p',mDefLE) ).
fof(mSortsB,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/tmp/tmp.Do6r0Sw67w/E---3.1_850.p',mSortsB) ).
fof(mLETotal,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
| ( X2 != X1
& sdtlseqdt0(X2,X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Do6r0Sw67w/E---3.1_850.p',mLETotal) ).
fof(m__2362,hypothesis,
( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xr,X1) = xk )
& ? [X1] :
( aNaturalNumber0(X1)
& sdtasdt0(xn,xm) = sdtasdt0(xr,X1) )
& doDivides0(xr,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox/tmp/tmp.Do6r0Sw67w/E---3.1_850.p',m__2362) ).
fof(m__2342,hypothesis,
( aNaturalNumber0(xr)
& ? [X1] :
( aNaturalNumber0(X1)
& xk = sdtasdt0(xr,X1) )
& doDivides0(xr,xk)
& xr != sz00
& xr != sz10
& ! [X1] :
( ( aNaturalNumber0(X1)
& ( ? [X2] :
( aNaturalNumber0(X2)
& xr = sdtasdt0(X1,X2) )
| doDivides0(X1,xr) ) )
=> ( X1 = sz10
| X1 = xr ) )
& isPrime0(xr) ),
file('/export/starexec/sandbox/tmp/tmp.Do6r0Sw67w/E---3.1_850.p',m__2342) ).
fof(mLETran,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(X1,X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.Do6r0Sw67w/E---3.1_850.p',mLETran) ).
fof(m__2287,hypothesis,
( xn != xp
& ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xn,X1) = xp )
& sdtlseqdt0(xn,xp)
& xm != xp
& ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xm,X1) = xp )
& sdtlseqdt0(xm,xp) ),
file('/export/starexec/sandbox/tmp/tmp.Do6r0Sw67w/E---3.1_850.p',m__2287) ).
fof(m__2306,hypothesis,
( aNaturalNumber0(xk)
& sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
& xk = sdtsldt0(sdtasdt0(xn,xm),xp) ),
file('/export/starexec/sandbox/tmp/tmp.Do6r0Sw67w/E---3.1_850.p',m__2306) ).
fof(mMonMul2,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( X1 != sz00
=> sdtlseqdt0(X2,sdtasdt0(X2,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.Do6r0Sw67w/E---3.1_850.p',mMonMul2) ).
fof(mMulComm,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.Do6r0Sw67w/E---3.1_850.p',mMulComm) ).
fof(m__1837,hypothesis,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox/tmp/tmp.Do6r0Sw67w/E---3.1_850.p',m__1837) ).
fof(m_MulZero,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( sdtasdt0(X1,sz00) = sz00
& sz00 = sdtasdt0(sz00,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.Do6r0Sw67w/E---3.1_850.p',m_MulZero) ).
fof(mMulAsso,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3)) ),
file('/export/starexec/sandbox/tmp/tmp.Do6r0Sw67w/E---3.1_850.p',mMulAsso) ).
fof(mSortsB_02,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/tmp/tmp.Do6r0Sw67w/E---3.1_850.p',mSortsB_02) ).
fof(m__1860,hypothesis,
( xp != sz00
& xp != sz10
& ! [X1] :
( ( aNaturalNumber0(X1)
& ( ? [X2] :
( aNaturalNumber0(X2)
& xp = sdtasdt0(X1,X2) )
| doDivides0(X1,xp) ) )
=> ( X1 = sz10
| X1 = xp ) )
& isPrime0(xp)
& ? [X1] :
( aNaturalNumber0(X1)
& sdtasdt0(xn,xm) = sdtasdt0(xp,X1) )
& doDivides0(xp,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox/tmp/tmp.Do6r0Sw67w/E---3.1_850.p',m__1860) ).
fof(mLEAsym,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/tmp/tmp.Do6r0Sw67w/E---3.1_850.p',mLEAsym) ).
fof(m__2389,hypothesis,
( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xp,X1) = xk )
& sdtlseqdt0(xp,xk) ),
file('/export/starexec/sandbox/tmp/tmp.Do6r0Sw67w/E---3.1_850.p',m__2389) ).
fof(m__1870,hypothesis,
~ ( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xp,X1) = xn )
| sdtlseqdt0(xp,xn) ),
file('/export/starexec/sandbox/tmp/tmp.Do6r0Sw67w/E---3.1_850.p',m__1870) ).
fof(mSortsC,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/tmp/tmp.Do6r0Sw67w/E---3.1_850.p',mSortsC) ).
fof(m__2315,hypothesis,
~ ( xk = sz00
| xk = sz10 ),
file('/export/starexec/sandbox/tmp/tmp.Do6r0Sw67w/E---3.1_850.p',m__2315) ).
fof(mMonMul,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( X1 != sz00
& X2 != X3
& sdtlseqdt0(X2,X3) )
=> ( sdtasdt0(X1,X2) != sdtasdt0(X1,X3)
& sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& sdtasdt0(X2,X1) != sdtasdt0(X3,X1)
& sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Do6r0Sw67w/E---3.1_850.p',mMonMul) ).
fof(mMulCanc,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( X1 != sz00
=> ! [X2,X3] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( sdtasdt0(X1,X2) = sdtasdt0(X1,X3)
| sdtasdt0(X2,X1) = sdtasdt0(X3,X1) )
=> X2 = X3 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Do6r0Sw67w/E---3.1_850.p',mMulCanc) ).
fof(m__2075,hypothesis,
~ ( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xp,X1) = xm )
| sdtlseqdt0(xp,xm) ),
file('/export/starexec/sandbox/tmp/tmp.Do6r0Sw67w/E---3.1_850.p',m__2075) ).
fof(c_0_23,plain,
! [X36,X37,X39] :
( ( aNaturalNumber0(esk1_2(X36,X37))
| ~ sdtlseqdt0(X36,X37)
| ~ aNaturalNumber0(X36)
| ~ aNaturalNumber0(X37) )
& ( sdtpldt0(X36,esk1_2(X36,X37)) = X37
| ~ sdtlseqdt0(X36,X37)
| ~ aNaturalNumber0(X36)
| ~ aNaturalNumber0(X37) )
& ( ~ aNaturalNumber0(X39)
| sdtpldt0(X36,X39) != X37
| sdtlseqdt0(X36,X37)
| ~ aNaturalNumber0(X36)
| ~ aNaturalNumber0(X37) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefLE])])])])]) ).
fof(c_0_24,plain,
! [X6,X7] :
( ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| aNaturalNumber0(sdtpldt0(X6,X7)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB])]) ).
fof(c_0_25,plain,
! [X49,X50] :
( ( X50 != X49
| sdtlseqdt0(X49,X50)
| ~ aNaturalNumber0(X49)
| ~ aNaturalNumber0(X50) )
& ( sdtlseqdt0(X50,X49)
| sdtlseqdt0(X49,X50)
| ~ aNaturalNumber0(X49)
| ~ aNaturalNumber0(X50) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETotal])])]) ).
cnf(c_0_26,plain,
( sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,X1) != X3
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_27,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_28,hypothesis,
( aNaturalNumber0(esk13_0)
& sdtpldt0(xr,esk13_0) = xk
& aNaturalNumber0(esk14_0)
& sdtasdt0(xn,xm) = sdtasdt0(xr,esk14_0)
& doDivides0(xr,sdtasdt0(xn,xm)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__2362])]) ).
fof(c_0_29,hypothesis,
! [X104,X105] :
( aNaturalNumber0(xr)
& aNaturalNumber0(esk12_0)
& xk = sdtasdt0(xr,esk12_0)
& doDivides0(xr,xk)
& xr != sz00
& xr != sz10
& ( ~ aNaturalNumber0(X105)
| xr != sdtasdt0(X104,X105)
| ~ aNaturalNumber0(X104)
| X104 = sz10
| X104 = xr )
& ( ~ doDivides0(X104,xr)
| ~ aNaturalNumber0(X104)
| X104 = sz10
| X104 = xr )
& isPrime0(xr) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2342])])])])]) ).
fof(c_0_30,plain,
! [X46,X47,X48] :
( ~ aNaturalNumber0(X46)
| ~ aNaturalNumber0(X47)
| ~ aNaturalNumber0(X48)
| ~ sdtlseqdt0(X46,X47)
| ~ sdtlseqdt0(X47,X48)
| sdtlseqdt0(X46,X48) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETran])]) ).
fof(c_0_31,hypothesis,
( xn != xp
& aNaturalNumber0(esk10_0)
& sdtpldt0(xn,esk10_0) = xp
& sdtlseqdt0(xn,xp)
& xm != xp
& aNaturalNumber0(esk11_0)
& sdtpldt0(xm,esk11_0) = xp
& sdtlseqdt0(xm,xp) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__2287])]) ).
cnf(c_0_32,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_33,hypothesis,
aNaturalNumber0(xk),
inference(split_conjunct,[status(thm)],[m__2306]) ).
fof(c_0_34,plain,
! [X58,X59] :
( ~ aNaturalNumber0(X58)
| ~ aNaturalNumber0(X59)
| X58 = sz00
| sdtlseqdt0(X59,sdtasdt0(X59,X58)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMonMul2])]) ).
fof(c_0_35,plain,
! [X16,X17] :
( ~ aNaturalNumber0(X16)
| ~ aNaturalNumber0(X17)
| sdtasdt0(X16,X17) = sdtasdt0(X17,X16) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])]) ).
cnf(c_0_36,plain,
( sdtlseqdt0(X1,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_26]),c_0_27]) ).
cnf(c_0_37,hypothesis,
sdtpldt0(xr,esk13_0) = xk,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_38,hypothesis,
aNaturalNumber0(xr),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_39,hypothesis,
aNaturalNumber0(esk13_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_40,plain,
( sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_41,hypothesis,
sdtlseqdt0(xn,xp),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_42,hypothesis,
aNaturalNumber0(xp),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_43,hypothesis,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_44,hypothesis,
( sdtlseqdt0(xk,X1)
| sdtlseqdt0(X1,xk)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
fof(c_0_45,plain,
! [X22] :
( ( sdtasdt0(X22,sz00) = sz00
| ~ aNaturalNumber0(X22) )
& ( sz00 = sdtasdt0(sz00,X22)
| ~ aNaturalNumber0(X22) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_MulZero])])]) ).
fof(c_0_46,plain,
! [X18,X19,X20] :
( ~ aNaturalNumber0(X18)
| ~ aNaturalNumber0(X19)
| ~ aNaturalNumber0(X20)
| sdtasdt0(sdtasdt0(X18,X19),X20) = sdtasdt0(X18,sdtasdt0(X19,X20)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulAsso])]) ).
fof(c_0_47,plain,
! [X8,X9] :
( ~ aNaturalNumber0(X8)
| ~ aNaturalNumber0(X9)
| aNaturalNumber0(sdtasdt0(X8,X9)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])]) ).
cnf(c_0_48,plain,
( X1 = sz00
| sdtlseqdt0(X2,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_49,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_50,hypothesis,
! [X96,X97] :
( xp != sz00
& xp != sz10
& ( ~ aNaturalNumber0(X97)
| xp != sdtasdt0(X96,X97)
| ~ aNaturalNumber0(X96)
| X96 = sz10
| X96 = xp )
& ( ~ doDivides0(X96,xp)
| ~ aNaturalNumber0(X96)
| X96 = sz10
| X96 = xp )
& isPrime0(xp)
& aNaturalNumber0(esk9_0)
& sdtasdt0(xn,xm) = sdtasdt0(xp,esk9_0)
& doDivides0(xp,sdtasdt0(xn,xm)) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1860])])])])]) ).
cnf(c_0_51,hypothesis,
sdtlseqdt0(xr,xk),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),c_0_39])]) ).
cnf(c_0_52,hypothesis,
sdtpldt0(xn,esk10_0) = xp,
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_53,hypothesis,
aNaturalNumber0(esk10_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_54,plain,
! [X44,X45] :
( ~ aNaturalNumber0(X44)
| ~ aNaturalNumber0(X45)
| ~ sdtlseqdt0(X44,X45)
| ~ sdtlseqdt0(X45,X44)
| X44 = X45 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEAsym])]) ).
cnf(c_0_55,hypothesis,
( sdtlseqdt0(X1,xp)
| ~ sdtlseqdt0(X1,xn)
| ~ aNaturalNumber0(X1) ),
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_43])]) ).
cnf(c_0_56,hypothesis,
( sdtlseqdt0(xn,xk)
| sdtlseqdt0(xk,xn) ),
inference(spm,[status(thm)],[c_0_44,c_0_43]) ).
fof(c_0_57,hypothesis,
( aNaturalNumber0(esk15_0)
& sdtpldt0(xp,esk15_0) = xk
& sdtlseqdt0(xp,xk) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__2389])]) ).
fof(c_0_58,hypothesis,
! [X99] :
( ( ~ aNaturalNumber0(X99)
| sdtpldt0(xp,X99) != xn )
& ~ sdtlseqdt0(xp,xn) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1870])])]) ).
cnf(c_0_59,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_60,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_61,plain,
aNaturalNumber0(sz00),
inference(split_conjunct,[status(thm)],[mSortsC]) ).
cnf(c_0_62,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_63,hypothesis,
xk = sdtasdt0(xr,esk12_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_64,hypothesis,
aNaturalNumber0(esk12_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_65,plain,
( X1 = sz00
| sdtlseqdt0(X2,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_66,hypothesis,
sdtasdt0(xn,xm) = sdtasdt0(xp,xk),
inference(split_conjunct,[status(thm)],[m__2306]) ).
cnf(c_0_67,hypothesis,
xp != sz00,
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_68,hypothesis,
( sdtlseqdt0(X1,xk)
| ~ sdtlseqdt0(X1,xr)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_51]),c_0_33]),c_0_38])]) ).
cnf(c_0_69,hypothesis,
( sdtlseqdt0(xn,X1)
| xp != X1
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_52]),c_0_43]),c_0_53])]) ).
cnf(c_0_70,hypothesis,
( X2 = sz10
| X2 = xp
| ~ aNaturalNumber0(X1)
| xp != sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_71,hypothesis,
xr != sz10,
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_72,plain,
( X1 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_73,hypothesis,
( sdtlseqdt0(xn,xk)
| sdtlseqdt0(xk,xp) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_33])]) ).
cnf(c_0_74,hypothesis,
sdtlseqdt0(xp,xk),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_75,hypothesis,
( ~ aNaturalNumber0(X1)
| sdtpldt0(xp,X1) != xn ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_76,plain,
( sdtpldt0(X1,esk1_2(X1,X2)) = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_77,hypothesis,
( xk != sz00
& xk != sz10 ),
inference(fof_nnf,[status(thm)],[m__2315]) ).
cnf(c_0_78,hypothesis,
sdtlseqdt0(xm,xp),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_79,hypothesis,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_80,plain,
( sdtasdt0(X1,sdtasdt0(X2,sz00)) = sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61])]),c_0_62]) ).
cnf(c_0_81,hypothesis,
( sdtasdt0(xr,sdtasdt0(esk12_0,X1)) = sdtasdt0(xk,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_63]),c_0_64]),c_0_38])]) ).
cnf(c_0_82,hypothesis,
sdtlseqdt0(xk,sdtasdt0(xn,xm)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_33]),c_0_42])]),c_0_67]) ).
cnf(c_0_83,hypothesis,
aNaturalNumber0(sdtasdt0(xn,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_66]),c_0_33]),c_0_42])]) ).
cnf(c_0_84,hypothesis,
( sdtlseqdt0(xn,xk)
| xr != xp ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_43]),c_0_38])]) ).
cnf(c_0_85,hypothesis,
( xr = xp
| xk != xp ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_63]),c_0_38]),c_0_64])]),c_0_71]) ).
cnf(c_0_86,hypothesis,
( xk = xp
| sdtlseqdt0(xn,xk) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74]),c_0_33]),c_0_42])]) ).
cnf(c_0_87,hypothesis,
( X1 != xn
| ~ sdtlseqdt0(xp,X1)
| ~ aNaturalNumber0(esk1_2(xp,X1))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_42])]) ).
cnf(c_0_88,plain,
( aNaturalNumber0(esk1_2(X1,X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_89,hypothesis,
xk != sz00,
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_90,hypothesis,
sdtpldt0(xm,esk11_0) = xp,
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_91,hypothesis,
aNaturalNumber0(esk11_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_92,hypothesis,
( sdtlseqdt0(X1,xp)
| ~ sdtlseqdt0(X1,xm)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_78]),c_0_42]),c_0_79])]) ).
cnf(c_0_93,hypothesis,
( sdtlseqdt0(xm,xk)
| sdtlseqdt0(xk,xm) ),
inference(spm,[status(thm)],[c_0_44,c_0_79]) ).
cnf(c_0_94,plain,
( sz00 = sdtasdt0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_95,hypothesis,
sdtasdt0(xk,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_64]),c_0_38]),c_0_61])]) ).
cnf(c_0_96,hypothesis,
( sdtlseqdt0(X1,sdtasdt0(xn,xm))
| ~ sdtlseqdt0(X1,xk)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_82]),c_0_83]),c_0_33])]) ).
cnf(c_0_97,hypothesis,
sdtlseqdt0(xn,xk),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86]) ).
cnf(c_0_98,hypothesis,
( X1 != xn
| ~ sdtlseqdt0(xp,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_42])]) ).
cnf(c_0_99,hypothesis,
sdtlseqdt0(xp,sdtasdt0(xn,xm)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_66]),c_0_42]),c_0_33])]),c_0_89]) ).
fof(c_0_100,plain,
! [X54,X55,X56] :
( ( sdtasdt0(X54,X55) != sdtasdt0(X54,X56)
| X54 = sz00
| X55 = X56
| ~ sdtlseqdt0(X55,X56)
| ~ aNaturalNumber0(X54)
| ~ aNaturalNumber0(X55)
| ~ aNaturalNumber0(X56) )
& ( sdtlseqdt0(sdtasdt0(X54,X55),sdtasdt0(X54,X56))
| X54 = sz00
| X55 = X56
| ~ sdtlseqdt0(X55,X56)
| ~ aNaturalNumber0(X54)
| ~ aNaturalNumber0(X55)
| ~ aNaturalNumber0(X56) )
& ( sdtasdt0(X55,X54) != sdtasdt0(X56,X54)
| X54 = sz00
| X55 = X56
| ~ sdtlseqdt0(X55,X56)
| ~ aNaturalNumber0(X54)
| ~ aNaturalNumber0(X55)
| ~ aNaturalNumber0(X56) )
& ( sdtlseqdt0(sdtasdt0(X55,X54),sdtasdt0(X56,X54))
| X54 = sz00
| X55 = X56
| ~ sdtlseqdt0(X55,X56)
| ~ aNaturalNumber0(X54)
| ~ aNaturalNumber0(X55)
| ~ aNaturalNumber0(X56) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMonMul])])]) ).
fof(c_0_101,plain,
! [X29,X30,X31] :
( ( sdtasdt0(X29,X30) != sdtasdt0(X29,X31)
| X30 = X31
| ~ aNaturalNumber0(X30)
| ~ aNaturalNumber0(X31)
| X29 = sz00
| ~ aNaturalNumber0(X29) )
& ( sdtasdt0(X30,X29) != sdtasdt0(X31,X29)
| X30 = X31
| ~ aNaturalNumber0(X30)
| ~ aNaturalNumber0(X31)
| X29 = sz00
| ~ aNaturalNumber0(X29) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulCanc])])])]) ).
cnf(c_0_102,hypothesis,
( sdtlseqdt0(xm,X1)
| xp != X1
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_90]),c_0_79]),c_0_91])]) ).
cnf(c_0_103,hypothesis,
( sdtlseqdt0(xm,xk)
| sdtlseqdt0(xk,xp) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_33])]) ).
fof(c_0_104,hypothesis,
! [X100] :
( ( ~ aNaturalNumber0(X100)
| sdtpldt0(xp,X100) != xm )
& ~ sdtlseqdt0(xp,xm) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2075])])]) ).
cnf(c_0_105,plain,
( sdtasdt0(sz00,sdtasdt0(X1,X2)) = sdtasdt0(sz00,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_94]),c_0_61])]) ).
cnf(c_0_106,hypothesis,
sdtasdt0(sz00,xk) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_95]),c_0_61]),c_0_33])]) ).
cnf(c_0_107,hypothesis,
sdtlseqdt0(xn,sdtasdt0(xn,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_43])]) ).
cnf(c_0_108,hypothesis,
sdtasdt0(xn,xm) != xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_83])]) ).
cnf(c_0_109,plain,
( sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
| X1 = sz00
| X2 = X3
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_110,plain,
( X2 = X3
| X1 = sz00
| sdtasdt0(X1,X2) != sdtasdt0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_111,plain,
( sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X3,X2))
| X2 = sz00
| X1 = X3
| ~ sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_112,hypothesis,
( sdtlseqdt0(xm,xk)
| xr != xp ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_102]),c_0_79]),c_0_38])]) ).
cnf(c_0_113,hypothesis,
( xk = xp
| sdtlseqdt0(xm,xk) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_103]),c_0_74]),c_0_33]),c_0_42])]) ).
cnf(c_0_114,hypothesis,
( ~ aNaturalNumber0(X1)
| sdtpldt0(xp,X1) != xm ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_115,hypothesis,
sdtpldt0(xp,esk15_0) = xk,
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_116,hypothesis,
aNaturalNumber0(esk15_0),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_117,hypothesis,
sdtasdt0(sz00,sdtasdt0(xn,xm)) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_66]),c_0_106]),c_0_33]),c_0_42])]) ).
cnf(c_0_118,hypothesis,
~ sdtlseqdt0(sdtasdt0(xn,xm),xn),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_107]),c_0_43]),c_0_83])]),c_0_108]) ).
cnf(c_0_119,plain,
( X1 = sz00
| X2 = X3
| ~ sdtlseqdt0(sdtasdt0(X1,X3),sdtasdt0(X1,X2))
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_109]),c_0_62]),c_0_62]),c_0_110]) ).
cnf(c_0_120,hypothesis,
( X1 = xp
| sdtlseqdt0(sdtasdt0(X1,xk),sdtasdt0(xn,xm))
| ~ sdtlseqdt0(X1,xp)
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_66]),c_0_42]),c_0_33])]),c_0_89]) ).
cnf(c_0_121,hypothesis,
sdtlseqdt0(xm,xk),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_85]),c_0_113]) ).
cnf(c_0_122,hypothesis,
xk != xm,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_116])]) ).
cnf(c_0_123,hypothesis,
xn != xp,
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_124,hypothesis,
sdtasdt0(sz00,xm) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_117]),c_0_79]),c_0_43])]) ).
cnf(c_0_125,plain,
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_61]) ).
cnf(c_0_126,hypothesis,
~ sdtlseqdt0(sdtasdt0(xm,xn),xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_49]),c_0_79]),c_0_43])]) ).
cnf(c_0_127,hypothesis,
xn = sz00,
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_119,c_0_120]),c_0_121]),c_0_33]),c_0_79]),c_0_43]),c_0_41])]),c_0_122]),c_0_123]) ).
cnf(c_0_128,hypothesis,
sdtasdt0(xm,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_124]),c_0_79]),c_0_61])]) ).
cnf(c_0_129,plain,
sdtlseqdt0(sz00,sz00),
inference(spm,[status(thm)],[c_0_125,c_0_61]) ).
cnf(c_0_130,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_126,c_0_127]),c_0_128]),c_0_127]),c_0_129])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : NUM503+3 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.10 % Command : run_E %s %d THM
% 0.09/0.30 % Computer : n024.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 2400
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Oct 2 13:41:27 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.15/0.40 Running first-order model finding
% 0.15/0.40 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.Do6r0Sw67w/E---3.1_850.p
% 10.61/1.76 # Version: 3.1pre001
% 10.61/1.76 # Preprocessing class: FSLSSMSSSSSNFFN.
% 10.61/1.76 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.61/1.76 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 10.61/1.76 # Starting new_bool_3 with 300s (1) cores
% 10.61/1.76 # Starting new_bool_1 with 300s (1) cores
% 10.61/1.76 # Starting sh5l with 300s (1) cores
% 10.61/1.76 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 940 completed with status 0
% 10.61/1.76 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 10.61/1.76 # Preprocessing class: FSLSSMSSSSSNFFN.
% 10.61/1.76 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.61/1.76 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 10.61/1.76 # No SInE strategy applied
% 10.61/1.76 # Search class: FGHSF-FSLM32-SFFFFFNN
% 10.61/1.76 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 10.61/1.76 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with 811s (1) cores
% 10.61/1.76 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 10.61/1.76 # Starting new_bool_3 with 136s (1) cores
% 10.61/1.76 # Starting U----_116_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN1 with 136s (1) cores
% 10.61/1.76 # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 136s (1) cores
% 10.61/1.76 # G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 952 completed with status 0
% 10.61/1.76 # Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 10.61/1.76 # Preprocessing class: FSLSSMSSSSSNFFN.
% 10.61/1.76 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.61/1.76 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 10.61/1.76 # No SInE strategy applied
% 10.61/1.76 # Search class: FGHSF-FSLM32-SFFFFFNN
% 10.61/1.76 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 10.61/1.76 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with 811s (1) cores
% 10.61/1.76 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 10.61/1.76 # Starting new_bool_3 with 136s (1) cores
% 10.61/1.76 # Starting U----_116_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN1 with 136s (1) cores
% 10.61/1.76 # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 136s (1) cores
% 10.61/1.76 # Preprocessing time : 0.003 s
% 10.61/1.76
% 10.61/1.76 # Proof found!
% 10.61/1.76 # SZS status ContradictoryAxioms
% 10.61/1.76 # SZS output start CNFRefutation
% See solution above
% 10.61/1.76 # Parsed axioms : 51
% 10.61/1.76 # Removed by relevancy pruning/SinE : 0
% 10.61/1.76 # Initial clauses : 247
% 10.61/1.76 # Removed in clause preprocessing : 3
% 10.61/1.76 # Initial clauses in saturation : 244
% 10.61/1.76 # Processed clauses : 4473
% 10.61/1.76 # ...of these trivial : 308
% 10.61/1.76 # ...subsumed : 2331
% 10.61/1.76 # ...remaining for further processing : 1834
% 10.61/1.76 # Other redundant clauses eliminated : 0
% 10.61/1.76 # Clauses deleted for lack of memory : 0
% 10.61/1.76 # Backward-subsumed : 139
% 10.61/1.76 # Backward-rewritten : 498
% 10.61/1.76 # Generated clauses : 54902
% 10.61/1.76 # ...of the previous two non-redundant : 49092
% 10.61/1.76 # ...aggressively subsumed : 0
% 10.61/1.76 # Contextual simplify-reflections : 200
% 10.61/1.76 # Paramodulations : 54762
% 10.61/1.76 # Factorizations : 3
% 10.61/1.76 # NegExts : 0
% 10.61/1.76 # Equation resolutions : 129
% 10.61/1.76 # Total rewrite steps : 48616
% 10.61/1.76 # Propositional unsat checks : 0
% 10.61/1.76 # Propositional check models : 0
% 10.61/1.76 # Propositional check unsatisfiable : 0
% 10.61/1.76 # Propositional clauses : 0
% 10.61/1.76 # Propositional clauses after purity: 0
% 10.61/1.76 # Propositional unsat core size : 0
% 10.61/1.76 # Propositional preprocessing time : 0.000
% 10.61/1.76 # Propositional encoding time : 0.000
% 10.61/1.76 # Propositional solver time : 0.000
% 10.61/1.76 # Success case prop preproc time : 0.000
% 10.61/1.76 # Success case prop encoding time : 0.000
% 10.61/1.76 # Success case prop solver time : 0.000
% 10.61/1.76 # Current number of processed clauses : 1191
% 10.61/1.76 # Positive orientable unit clauses : 295
% 10.61/1.76 # Positive unorientable unit clauses: 0
% 10.61/1.76 # Negative unit clauses : 63
% 10.61/1.76 # Non-unit-clauses : 833
% 10.61/1.76 # Current number of unprocessed clauses: 44662
% 10.61/1.76 # ...number of literals in the above : 338247
% 10.61/1.76 # Current number of archived formulas : 0
% 10.61/1.76 # Current number of archived clauses : 642
% 10.61/1.76 # Clause-clause subsumption calls (NU) : 305756
% 10.61/1.76 # Rec. Clause-clause subsumption calls : 103783
% 10.61/1.76 # Non-unit clause-clause subsumptions : 1566
% 10.61/1.76 # Unit Clause-clause subsumption calls : 40515
% 10.61/1.76 # Rewrite failures with RHS unbound : 0
% 10.61/1.76 # BW rewrite match attempts : 258
% 10.61/1.76 # BW rewrite match successes : 60
% 10.61/1.76 # Condensation attempts : 4473
% 10.61/1.76 # Condensation successes : 13
% 10.61/1.76 # Termbank termtop insertions : 1261654
% 10.61/1.76
% 10.61/1.76 # -------------------------------------------------
% 10.61/1.76 # User time : 1.117 s
% 10.61/1.76 # System time : 0.024 s
% 10.61/1.76 # Total time : 1.141 s
% 10.61/1.76 # Maximum resident set size: 2412 pages
% 10.61/1.76
% 10.61/1.76 # -------------------------------------------------
% 10.61/1.76 # User time : 6.318 s
% 10.61/1.76 # System time : 0.127 s
% 10.61/1.76 # Total time : 6.444 s
% 10.61/1.76 # Maximum resident set size: 1748 pages
% 10.61/1.76 % E---3.1 exiting
%------------------------------------------------------------------------------