TSTP Solution File: NUM483+1 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : NUM483+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n022.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 18:55:58 EDT 2023
% Result : Theorem 8.29s 1.57s
% Output : CNFRefutation 8.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 26
% Syntax : Number of formulae : 142 ( 45 unt; 0 def)
% Number of atoms : 503 ( 162 equ)
% Maximal formula atoms : 32 ( 3 avg)
% Number of connectives : 600 ( 239 ~; 263 |; 63 &)
% ( 3 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 170 ( 0 sgn; 85 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mDefDiv,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( doDivides0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& X2 = sdtasdt0(X1,X3) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.J4X0haAZKZ/E---3.1_18549.p',mDefDiv) ).
fof(mSortsB_02,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.J4X0haAZKZ/E---3.1_18549.p',mSortsB_02) ).
fof(m_MulUnit,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( sdtasdt0(X1,sz10) = X1
& X1 = sdtasdt0(sz10,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.J4X0haAZKZ/E---3.1_18549.p',m_MulUnit) ).
fof(m__1716,hypothesis,
aNaturalNumber0(xk),
file('/export/starexec/sandbox2/tmp/tmp.J4X0haAZKZ/E---3.1_18549.p',m__1716) ).
fof(m__1725,hypothesis,
~ isPrime0(xk),
file('/export/starexec/sandbox2/tmp/tmp.J4X0haAZKZ/E---3.1_18549.p',m__1725) ).
fof(mDefPrime,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( isPrime0(X1)
<=> ( X1 != sz00
& X1 != sz10
& ! [X2] :
( ( aNaturalNumber0(X2)
& doDivides0(X2,X1) )
=> ( X2 = sz10
| X2 = X1 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.J4X0haAZKZ/E---3.1_18549.p',mDefPrime) ).
fof(mMulComm,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.J4X0haAZKZ/E---3.1_18549.p',mMulComm) ).
fof(mSortsC_01,axiom,
( aNaturalNumber0(sz10)
& sz10 != sz00 ),
file('/export/starexec/sandbox2/tmp/tmp.J4X0haAZKZ/E---3.1_18549.p',mSortsC_01) ).
fof(mIH_03,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( X1 != X2
& sdtlseqdt0(X1,X2) )
=> iLess0(X1,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.J4X0haAZKZ/E---3.1_18549.p',mIH_03) ).
fof(mDivLE,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( doDivides0(X1,X2)
& X2 != sz00 )
=> sdtlseqdt0(X1,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.J4X0haAZKZ/E---3.1_18549.p',mDivLE) ).
fof(m__1716_04,hypothesis,
( xk != sz00
& xk != sz10 ),
file('/export/starexec/sandbox2/tmp/tmp.J4X0haAZKZ/E---3.1_18549.p',m__1716_04) ).
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/sandbox2/tmp/tmp.J4X0haAZKZ/E---3.1_18549.p',mMulCanc) ).
fof(mAddComm,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.J4X0haAZKZ/E---3.1_18549.p',mAddComm) ).
fof(m_MulZero,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( sdtasdt0(X1,sz00) = sz00
& sz00 = sdtasdt0(sz00,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.J4X0haAZKZ/E---3.1_18549.p',m_MulZero) ).
fof(mSortsB,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.J4X0haAZKZ/E---3.1_18549.p',mSortsB) ).
fof(mAMDistr,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& sdtasdt0(sdtpldt0(X2,X3),X1) = sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.J4X0haAZKZ/E---3.1_18549.p',mAMDistr) ).
fof(mDefLE,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& sdtpldt0(X1,X3) = X2 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.J4X0haAZKZ/E---3.1_18549.p',mDefLE) ).
fof(mDivTrans,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( doDivides0(X1,X2)
& doDivides0(X2,X3) )
=> doDivides0(X1,X3) ) ),
file('/export/starexec/sandbox2/tmp/tmp.J4X0haAZKZ/E---3.1_18549.p',mDivTrans) ).
fof(m__1700,hypothesis,
! [X1] :
( ( aNaturalNumber0(X1)
& X1 != sz00
& X1 != sz10 )
=> ( iLess0(X1,xk)
=> ? [X2] :
( aNaturalNumber0(X2)
& doDivides0(X2,X1)
& isPrime0(X2) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.J4X0haAZKZ/E---3.1_18549.p',m__1700) ).
fof(mDivSum,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( doDivides0(X1,X2)
& doDivides0(X1,X3) )
=> doDivides0(X1,sdtpldt0(X2,X3)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.J4X0haAZKZ/E---3.1_18549.p',mDivSum) ).
fof(mZeroAdd,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtpldt0(X1,X2) = sz00
=> ( X1 = sz00
& X2 = sz00 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.J4X0haAZKZ/E---3.1_18549.p',mZeroAdd) ).
fof(m__,conjecture,
? [X1] :
( aNaturalNumber0(X1)
& doDivides0(X1,xk)
& isPrime0(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.J4X0haAZKZ/E---3.1_18549.p',m__) ).
fof(mAddCanc,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( sdtpldt0(X1,X2) = sdtpldt0(X1,X3)
| sdtpldt0(X2,X1) = sdtpldt0(X3,X1) )
=> X2 = X3 ) ),
file('/export/starexec/sandbox2/tmp/tmp.J4X0haAZKZ/E---3.1_18549.p',mAddCanc) ).
fof(m_AddZero,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.J4X0haAZKZ/E---3.1_18549.p',m_AddZero) ).
fof(mSortsC,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/tmp/tmp.J4X0haAZKZ/E---3.1_18549.p',mSortsC) ).
fof(mLEAsym,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/tmp/tmp.J4X0haAZKZ/E---3.1_18549.p',mLEAsym) ).
fof(c_0_26,plain,
! [X10,X11,X13] :
( ( aNaturalNumber0(esk3_2(X10,X11))
| ~ doDivides0(X10,X11)
| ~ aNaturalNumber0(X10)
| ~ aNaturalNumber0(X11) )
& ( X11 = sdtasdt0(X10,esk3_2(X10,X11))
| ~ doDivides0(X10,X11)
| ~ aNaturalNumber0(X10)
| ~ aNaturalNumber0(X11) )
& ( ~ aNaturalNumber0(X13)
| X11 != sdtasdt0(X10,X13)
| doDivides0(X10,X11)
| ~ aNaturalNumber0(X10)
| ~ aNaturalNumber0(X11) ) ),
inference(distribute,[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,
! [X43,X44] :
( ~ aNaturalNumber0(X43)
| ~ aNaturalNumber0(X44)
| aNaturalNumber0(sdtasdt0(X43,X44)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])]) ).
fof(c_0_28,plain,
! [X27] :
( ( sdtasdt0(X27,sz10) = X27
| ~ aNaturalNumber0(X27) )
& ( X27 = sdtasdt0(sz10,X27)
| ~ aNaturalNumber0(X27) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_MulUnit])])]) ).
cnf(c_0_29,plain,
( doDivides0(X3,X2)
| ~ aNaturalNumber0(X1)
| X2 != sdtasdt0(X3,X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_30,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_31,plain,
( X1 = sdtasdt0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_32,hypothesis,
aNaturalNumber0(xk),
inference(split_conjunct,[status(thm)],[m__1716]) ).
fof(c_0_33,hypothesis,
~ isPrime0(xk),
inference(fof_simplification,[status(thm)],[m__1725]) ).
fof(c_0_34,plain,
! [X7,X8] :
( ( X7 != sz00
| ~ isPrime0(X7)
| ~ aNaturalNumber0(X7) )
& ( X7 != sz10
| ~ isPrime0(X7)
| ~ aNaturalNumber0(X7) )
& ( ~ aNaturalNumber0(X8)
| ~ doDivides0(X8,X7)
| X8 = sz10
| X8 = X7
| ~ isPrime0(X7)
| ~ aNaturalNumber0(X7) )
& ( aNaturalNumber0(esk2_1(X7))
| X7 = sz00
| X7 = sz10
| isPrime0(X7)
| ~ aNaturalNumber0(X7) )
& ( doDivides0(esk2_1(X7),X7)
| X7 = sz00
| X7 = sz10
| isPrime0(X7)
| ~ aNaturalNumber0(X7) )
& ( esk2_1(X7) != sz10
| X7 = sz00
| X7 = sz10
| isPrime0(X7)
| ~ aNaturalNumber0(X7) )
& ( esk2_1(X7) != X7
| X7 = sz00
| X7 = sz10
| isPrime0(X7)
| ~ aNaturalNumber0(X7) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefPrime])])])])]) ).
fof(c_0_35,plain,
! [X45,X46] :
( ~ aNaturalNumber0(X45)
| ~ aNaturalNumber0(X46)
| sdtasdt0(X45,X46) = sdtasdt0(X46,X45) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])]) ).
cnf(c_0_36,plain,
( doDivides0(X1,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_29]),c_0_30]) ).
cnf(c_0_37,hypothesis,
sdtasdt0(sz10,xk) = xk,
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_38,plain,
aNaturalNumber0(sz10),
inference(split_conjunct,[status(thm)],[mSortsC_01]) ).
cnf(c_0_39,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_40,plain,
! [X25,X26] :
( ~ aNaturalNumber0(X25)
| ~ aNaturalNumber0(X26)
| X25 = X26
| ~ sdtlseqdt0(X25,X26)
| iLess0(X25,X26) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIH_03])]) ).
fof(c_0_41,plain,
! [X23,X24] :
( ~ aNaturalNumber0(X23)
| ~ aNaturalNumber0(X24)
| ~ doDivides0(X23,X24)
| X24 = sz00
| sdtlseqdt0(X23,X24) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivLE])]) ).
cnf(c_0_42,hypothesis,
~ isPrime0(xk),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_43,plain,
( doDivides0(esk2_1(X1),X1)
| X1 = sz00
| X1 = sz10
| isPrime0(X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_44,hypothesis,
xk != sz00,
inference(split_conjunct,[status(thm)],[m__1716_04]) ).
cnf(c_0_45,hypothesis,
xk != sz10,
inference(split_conjunct,[status(thm)],[m__1716_04]) ).
cnf(c_0_46,plain,
( aNaturalNumber0(esk2_1(X1))
| X1 = sz00
| X1 = sz10
| isPrime0(X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_47,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_48,plain,
( aNaturalNumber0(esk3_2(X1,X2))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_49,hypothesis,
doDivides0(sz10,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_32])]) ).
cnf(c_0_50,plain,
( X1 = sdtasdt0(X2,esk3_2(X2,X1))
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_51,plain,
! [X31,X32,X33] :
( ( sdtasdt0(X31,X32) != sdtasdt0(X31,X33)
| X32 = X33
| ~ aNaturalNumber0(X32)
| ~ aNaturalNumber0(X33)
| X31 = sz00
| ~ aNaturalNumber0(X31) )
& ( sdtasdt0(X32,X31) != sdtasdt0(X33,X31)
| X32 = X33
| ~ aNaturalNumber0(X32)
| ~ aNaturalNumber0(X33)
| X31 = sz00
| ~ aNaturalNumber0(X31) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulCanc])])])]) ).
cnf(c_0_52,hypothesis,
sdtasdt0(xk,sz10) = xk,
inference(spm,[status(thm)],[c_0_39,c_0_32]) ).
fof(c_0_53,plain,
! [X55,X56] :
( ~ aNaturalNumber0(X55)
| ~ aNaturalNumber0(X56)
| sdtpldt0(X55,X56) = sdtpldt0(X56,X55) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddComm])]) ).
cnf(c_0_54,plain,
( X1 = X2
| iLess0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_55,plain,
( X2 = sz00
| sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_56,hypothesis,
doDivides0(esk2_1(xk),xk),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_32])]),c_0_44]),c_0_45]) ).
cnf(c_0_57,hypothesis,
aNaturalNumber0(esk2_1(xk)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_46]),c_0_32])]),c_0_44]),c_0_45]) ).
cnf(c_0_58,plain,
( X1 = sz00
| X1 = sz10
| isPrime0(X1)
| esk2_1(X1) != X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_59,plain,
! [X30] :
( ( sdtasdt0(X30,sz00) = sz00
| ~ aNaturalNumber0(X30) )
& ( sz00 = sdtasdt0(sz00,X30)
| ~ aNaturalNumber0(X30) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_MulZero])])]) ).
fof(c_0_60,plain,
! [X53,X54] :
( ~ aNaturalNumber0(X53)
| ~ aNaturalNumber0(X54)
| aNaturalNumber0(sdtpldt0(X53,X54)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB])]) ).
fof(c_0_61,plain,
! [X50,X51,X52] :
( ( sdtasdt0(X50,sdtpldt0(X51,X52)) = sdtpldt0(sdtasdt0(X50,X51),sdtasdt0(X50,X52))
| ~ aNaturalNumber0(X50)
| ~ aNaturalNumber0(X51)
| ~ aNaturalNumber0(X52) )
& ( sdtasdt0(sdtpldt0(X51,X52),X50) = sdtpldt0(sdtasdt0(X51,X50),sdtasdt0(X52,X50))
| ~ aNaturalNumber0(X50)
| ~ aNaturalNumber0(X51)
| ~ aNaturalNumber0(X52) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAMDistr])])]) ).
cnf(c_0_62,plain,
( sdtasdt0(X1,sz10) = sdtasdt0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_38]) ).
cnf(c_0_63,hypothesis,
aNaturalNumber0(esk3_2(sz10,xk)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_32]),c_0_38])]) ).
cnf(c_0_64,hypothesis,
sdtasdt0(sz10,esk3_2(sz10,xk)) = xk,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_49]),c_0_38]),c_0_32])]) ).
cnf(c_0_65,plain,
( X2 = X3
| X1 = sz00
| sdtasdt0(X1,X2) != sdtasdt0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_66,hypothesis,
doDivides0(xk,xk),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_52]),c_0_32]),c_0_38])]) ).
fof(c_0_67,plain,
! [X63,X64,X66] :
( ( aNaturalNumber0(esk4_2(X63,X64))
| ~ sdtlseqdt0(X63,X64)
| ~ aNaturalNumber0(X63)
| ~ aNaturalNumber0(X64) )
& ( sdtpldt0(X63,esk4_2(X63,X64)) = X64
| ~ sdtlseqdt0(X63,X64)
| ~ aNaturalNumber0(X63)
| ~ aNaturalNumber0(X64) )
& ( ~ aNaturalNumber0(X66)
| sdtpldt0(X63,X66) != X64
| sdtlseqdt0(X63,X64)
| ~ aNaturalNumber0(X63)
| ~ aNaturalNumber0(X64) ) ),
inference(distribute,[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_68,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
fof(c_0_69,plain,
! [X14,X15,X16] :
( ~ aNaturalNumber0(X14)
| ~ aNaturalNumber0(X15)
| ~ aNaturalNumber0(X16)
| ~ doDivides0(X14,X15)
| ~ doDivides0(X15,X16)
| doDivides0(X14,X16) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivTrans])]) ).
fof(c_0_70,hypothesis,
! [X4] :
( ( aNaturalNumber0(esk1_1(X4))
| ~ iLess0(X4,xk)
| ~ aNaturalNumber0(X4)
| X4 = sz00
| X4 = sz10 )
& ( doDivides0(esk1_1(X4),X4)
| ~ iLess0(X4,xk)
| ~ aNaturalNumber0(X4)
| X4 = sz00
| X4 = sz10 )
& ( isPrime0(esk1_1(X4))
| ~ iLess0(X4,xk)
| ~ aNaturalNumber0(X4)
| X4 = sz00
| X4 = sz10 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1700])])])]) ).
cnf(c_0_71,hypothesis,
( X1 = xk
| iLess0(X1,xk)
| ~ sdtlseqdt0(X1,xk)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_32]) ).
cnf(c_0_72,hypothesis,
sdtlseqdt0(esk2_1(xk),xk),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_32]),c_0_57])]),c_0_44]) ).
cnf(c_0_73,hypothesis,
esk2_1(xk) != xk,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_58]),c_0_32])]),c_0_44]),c_0_45]) ).
cnf(c_0_74,plain,
( X1 = sz00
| X1 = sz10
| isPrime0(X1)
| esk2_1(X1) != sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_75,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_76,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_77,plain,
( sdtasdt0(sdtpldt0(X1,X2),X3) = sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_78,plain,
( aNaturalNumber0(esk3_2(X1,sdtasdt0(X1,X2)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_36]),c_0_30]) ).
cnf(c_0_79,hypothesis,
sdtasdt0(esk3_2(sz10,xk),sz10) = xk,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]) ).
cnf(c_0_80,hypothesis,
( X1 = xk
| X2 = sz00
| sdtasdt0(X2,X1) != sdtasdt0(X2,xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(spm,[status(thm)],[c_0_65,c_0_32]) ).
cnf(c_0_81,plain,
sz10 != sz00,
inference(split_conjunct,[status(thm)],[mSortsC_01]) ).
cnf(c_0_82,plain,
( X1 = sz10
| X2 = sz00
| sdtasdt0(X2,X1) != sdtasdt0(X2,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(spm,[status(thm)],[c_0_65,c_0_38]) ).
cnf(c_0_83,hypothesis,
sdtasdt0(xk,esk3_2(xk,xk)) = xk,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_66]),c_0_32])]) ).
cnf(c_0_84,hypothesis,
aNaturalNumber0(esk3_2(xk,xk)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_66]),c_0_32])]) ).
cnf(c_0_85,plain,
( sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,X1) != X3
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
fof(c_0_86,plain,
! [X17,X18,X19] :
( ~ aNaturalNumber0(X17)
| ~ aNaturalNumber0(X18)
| ~ aNaturalNumber0(X19)
| ~ doDivides0(X17,X18)
| ~ doDivides0(X17,X19)
| doDivides0(X17,sdtpldt0(X18,X19)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivSum])]) ).
cnf(c_0_87,hypothesis,
( sdtpldt0(X1,esk2_1(xk)) = sdtpldt0(esk2_1(xk),X1)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_68,c_0_57]) ).
cnf(c_0_88,plain,
( doDivides0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
fof(c_0_89,plain,
! [X34,X35] :
( ( X34 = sz00
| sdtpldt0(X34,X35) != sz00
| ~ aNaturalNumber0(X34)
| ~ aNaturalNumber0(X35) )
& ( X35 = sz00
| sdtpldt0(X34,X35) != sz00
| ~ aNaturalNumber0(X34)
| ~ aNaturalNumber0(X35) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroAdd])])]) ).
fof(c_0_90,negated_conjecture,
~ ? [X1] :
( aNaturalNumber0(X1)
& doDivides0(X1,xk)
& isPrime0(X1) ),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_91,hypothesis,
( doDivides0(esk1_1(X1),X1)
| X1 = sz00
| X1 = sz10
| ~ iLess0(X1,xk)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_92,hypothesis,
iLess0(esk2_1(xk),xk),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_57]),c_0_72])]),c_0_73]) ).
cnf(c_0_93,hypothesis,
esk2_1(xk) != sz10,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_74]),c_0_32])]),c_0_44]),c_0_45]) ).
cnf(c_0_94,hypothesis,
( aNaturalNumber0(esk1_1(X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(X1,xk)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_95,plain,
( sdtasdt0(sdtpldt0(X1,X2),sz00) = sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_96,hypothesis,
( sdtpldt0(sdtasdt0(X1,xk),sdtasdt0(X2,xk)) = sdtasdt0(sdtpldt0(X1,X2),xk)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_77,c_0_32]) ).
cnf(c_0_97,hypothesis,
aNaturalNumber0(esk3_2(esk3_2(sz10,xk),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_63]),c_0_38])]) ).
cnf(c_0_98,hypothesis,
esk3_2(sz10,xk) = xk,
inference(sr,[status(thm)],[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_64]),c_0_37]),c_0_63]),c_0_38])]),c_0_81]) ).
cnf(c_0_99,hypothesis,
esk3_2(xk,xk) = sz10,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_52]),c_0_84]),c_0_32])]),c_0_44]) ).
cnf(c_0_100,plain,
( sdtlseqdt0(X1,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_85]),c_0_76]) ).
fof(c_0_101,plain,
! [X60,X61,X62] :
( ( sdtpldt0(X60,X61) != sdtpldt0(X60,X62)
| X61 = X62
| ~ aNaturalNumber0(X60)
| ~ aNaturalNumber0(X61)
| ~ aNaturalNumber0(X62) )
& ( sdtpldt0(X61,X60) != sdtpldt0(X62,X60)
| X61 = X62
| ~ aNaturalNumber0(X60)
| ~ aNaturalNumber0(X61)
| ~ aNaturalNumber0(X62) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddCanc])])]) ).
fof(c_0_102,plain,
! [X29] :
( ( sdtpldt0(X29,sz00) = X29
| ~ aNaturalNumber0(X29) )
& ( X29 = sdtpldt0(sz00,X29)
| ~ aNaturalNumber0(X29) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_AddZero])])]) ).
cnf(c_0_103,plain,
( doDivides0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_104,hypothesis,
sdtpldt0(esk2_1(xk),xk) = sdtpldt0(xk,esk2_1(xk)),
inference(spm,[status(thm)],[c_0_87,c_0_32]) ).
cnf(c_0_105,hypothesis,
( doDivides0(X1,xk)
| ~ doDivides0(X1,esk2_1(xk))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_56]),c_0_32]),c_0_57])]) ).
cnf(c_0_106,plain,
( X1 = sz00
| sdtpldt0(X2,X1) != sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
fof(c_0_107,negated_conjecture,
! [X6] :
( ~ aNaturalNumber0(X6)
| ~ doDivides0(X6,xk)
| ~ isPrime0(X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_90])]) ).
cnf(c_0_108,hypothesis,
( esk2_1(xk) = sz00
| doDivides0(esk1_1(esk2_1(xk)),esk2_1(xk)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_57])]),c_0_93]) ).
cnf(c_0_109,hypothesis,
( esk2_1(xk) = sz00
| aNaturalNumber0(esk1_1(esk2_1(xk))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_92]),c_0_57])]),c_0_93]) ).
cnf(c_0_110,hypothesis,
( isPrime0(esk1_1(X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(X1,xk)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_111,hypothesis,
( sdtasdt0(sdtpldt0(X1,xk),sz00) = sz00
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_95,c_0_32]) ).
cnf(c_0_112,hypothesis,
( sdtpldt0(sdtasdt0(X1,xk),xk) = sdtasdt0(sdtpldt0(X1,sz10),xk)
| ~ aNaturalNumber0(X1) ),
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_96,c_0_97]),c_0_98]),c_0_99]),c_0_37]),c_0_98]),c_0_99]) ).
cnf(c_0_113,hypothesis,
( sdtlseqdt0(xk,sdtpldt0(xk,X1))
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_100,c_0_32]) ).
cnf(c_0_114,plain,
( X1 = X3
| sdtpldt0(X1,X2) != sdtpldt0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_115,plain,
aNaturalNumber0(sz00),
inference(split_conjunct,[status(thm)],[mSortsC]) ).
cnf(c_0_116,plain,
( X1 = sdtpldt0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_117,hypothesis,
( doDivides0(X1,sdtpldt0(xk,esk2_1(xk)))
| ~ doDivides0(X1,esk2_1(xk))
| ~ aNaturalNumber0(X1) ),
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_32]),c_0_57])]),c_0_105]) ).
cnf(c_0_118,hypothesis,
aNaturalNumber0(sdtpldt0(xk,esk2_1(xk))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_104]),c_0_32]),c_0_57])]) ).
cnf(c_0_119,hypothesis,
sdtpldt0(xk,esk2_1(xk)) != sz00,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_104]),c_0_57]),c_0_32])]),c_0_44]) ).
cnf(c_0_120,negated_conjecture,
( ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,xk)
| ~ isPrime0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_121,hypothesis,
( esk2_1(xk) = sz00
| doDivides0(esk1_1(esk2_1(xk)),xk) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_108]),c_0_109]) ).
cnf(c_0_122,hypothesis,
( esk2_1(xk) = sz00
| isPrime0(esk1_1(esk2_1(xk))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_92]),c_0_57])]),c_0_93]) ).
cnf(c_0_123,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_124,hypothesis,
sdtasdt0(sdtpldt0(xk,xk),sz00) = sz00,
inference(spm,[status(thm)],[c_0_111,c_0_32]) ).
cnf(c_0_125,hypothesis,
sdtpldt0(xk,xk) = sdtasdt0(sdtpldt0(sz10,sz10),xk),
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_112,c_0_97]),c_0_98]),c_0_99]),c_0_37]),c_0_98]),c_0_99]) ).
fof(c_0_126,plain,
! [X71,X72] :
( ~ aNaturalNumber0(X71)
| ~ aNaturalNumber0(X72)
| ~ sdtlseqdt0(X71,X72)
| ~ sdtlseqdt0(X72,X71)
| X71 = X72 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEAsym])]) ).
cnf(c_0_127,hypothesis,
sdtlseqdt0(xk,sdtpldt0(xk,xk)),
inference(spm,[status(thm)],[c_0_113,c_0_32]) ).
cnf(c_0_128,plain,
( X1 = sz00
| sdtpldt0(X1,X2) != sdtpldt0(sz00,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_129,hypothesis,
sdtpldt0(sz00,xk) = xk,
inference(spm,[status(thm)],[c_0_116,c_0_32]) ).
cnf(c_0_130,hypothesis,
( sdtlseqdt0(X1,sdtpldt0(xk,esk2_1(xk)))
| ~ doDivides0(X1,esk2_1(xk))
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_117]),c_0_118])]),c_0_119]) ).
cnf(c_0_131,negated_conjecture,
esk2_1(xk) = sz00,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_109]),c_0_122]) ).
cnf(c_0_132,hypothesis,
sdtpldt0(xk,sz00) = xk,
inference(spm,[status(thm)],[c_0_123,c_0_32]) ).
cnf(c_0_133,hypothesis,
sdtasdt0(sdtasdt0(sdtpldt0(sz10,sz10),xk),sz00) = sz00,
inference(rw,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_134,hypothesis,
aNaturalNumber0(sdtasdt0(sdtpldt0(sz10,sz10),xk)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_125]),c_0_32])]) ).
cnf(c_0_135,plain,
( X1 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_136,hypothesis,
sdtlseqdt0(xk,sdtasdt0(sdtpldt0(sz10,sz10),xk)),
inference(rw,[status(thm)],[c_0_127,c_0_125]) ).
cnf(c_0_137,hypothesis,
sdtasdt0(sdtpldt0(sz10,sz10),xk) != xk,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_125]),c_0_129]),c_0_32])]),c_0_44]) ).
cnf(c_0_138,hypothesis,
( sdtlseqdt0(X1,xk)
| ~ doDivides0(X1,sz00)
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_131]),c_0_132]),c_0_131]) ).
cnf(c_0_139,hypothesis,
doDivides0(sdtasdt0(sdtpldt0(sz10,sz10),xk),sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_133]),c_0_134]),c_0_115])]) ).
cnf(c_0_140,hypothesis,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,sz10),xk),xk),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_32]),c_0_134])]),c_0_137]) ).
cnf(c_0_141,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_134])]),c_0_140]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : NUM483+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15 % Command : run_E %s %d THM
% 0.16/0.36 % Computer : n022.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 2400
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Mon Oct 2 13:21:09 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.37/0.53 Running first-order theorem proving
% 0.37/0.54 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.J4X0haAZKZ/E---3.1_18549.p
% 8.29/1.57 # Version: 3.1pre001
% 8.29/1.57 # Preprocessing class: FSLSSMSSSSSNFFN.
% 8.29/1.57 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.29/1.57 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 8.29/1.57 # Starting new_bool_3 with 300s (1) cores
% 8.29/1.57 # Starting new_bool_1 with 300s (1) cores
% 8.29/1.57 # Starting sh5l with 300s (1) cores
% 8.29/1.57 # new_bool_3 with pid 18668 completed with status 0
% 8.29/1.57 # Result found by new_bool_3
% 8.29/1.57 # Preprocessing class: FSLSSMSSSSSNFFN.
% 8.29/1.57 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.29/1.57 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 8.29/1.57 # Starting new_bool_3 with 300s (1) cores
% 8.29/1.57 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 8.29/1.57 # Search class: FGHSF-FFMS21-SFFFFFNN
% 8.29/1.57 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 8.29/1.57 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 181s (1) cores
% 8.29/1.57 # G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with pid 18672 completed with status 0
% 8.29/1.57 # Result found by G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y
% 8.29/1.57 # Preprocessing class: FSLSSMSSSSSNFFN.
% 8.29/1.57 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.29/1.57 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 8.29/1.57 # Starting new_bool_3 with 300s (1) cores
% 8.29/1.57 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 8.29/1.57 # Search class: FGHSF-FFMS21-SFFFFFNN
% 8.29/1.57 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 8.29/1.57 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 181s (1) cores
% 8.29/1.57 # Preprocessing time : 0.003 s
% 8.29/1.57 # Presaturation interreduction done
% 8.29/1.57
% 8.29/1.57 # Proof found!
% 8.29/1.57 # SZS status Theorem
% 8.29/1.57 # SZS output start CNFRefutation
% See solution above
% 8.29/1.57 # Parsed axioms : 42
% 8.29/1.57 # Removed by relevancy pruning/SinE : 3
% 8.29/1.57 # Initial clauses : 68
% 8.29/1.57 # Removed in clause preprocessing : 3
% 8.29/1.57 # Initial clauses in saturation : 65
% 8.29/1.57 # Processed clauses : 3087
% 8.29/1.57 # ...of these trivial : 208
% 8.29/1.57 # ...subsumed : 908
% 8.29/1.57 # ...remaining for further processing : 1971
% 8.29/1.57 # Other redundant clauses eliminated : 5
% 8.29/1.57 # Clauses deleted for lack of memory : 0
% 8.29/1.57 # Backward-subsumed : 46
% 8.29/1.57 # Backward-rewritten : 441
% 8.29/1.57 # Generated clauses : 74516
% 8.29/1.57 # ...of the previous two non-redundant : 69768
% 8.29/1.57 # ...aggressively subsumed : 0
% 8.29/1.57 # Contextual simplify-reflections : 18
% 8.29/1.57 # Paramodulations : 74465
% 8.29/1.57 # Factorizations : 0
% 8.29/1.57 # NegExts : 0
% 8.29/1.57 # Equation resolutions : 51
% 8.29/1.57 # Total rewrite steps : 39645
% 8.29/1.57 # Propositional unsat checks : 0
% 8.29/1.57 # Propositional check models : 0
% 8.29/1.57 # Propositional check unsatisfiable : 0
% 8.29/1.57 # Propositional clauses : 0
% 8.29/1.57 # Propositional clauses after purity: 0
% 8.29/1.57 # Propositional unsat core size : 0
% 8.29/1.57 # Propositional preprocessing time : 0.000
% 8.29/1.57 # Propositional encoding time : 0.000
% 8.29/1.57 # Propositional solver time : 0.000
% 8.29/1.57 # Success case prop preproc time : 0.000
% 8.29/1.57 # Success case prop encoding time : 0.000
% 8.29/1.57 # Success case prop solver time : 0.000
% 8.29/1.57 # Current number of processed clauses : 1419
% 8.29/1.57 # Positive orientable unit clauses : 337
% 8.29/1.57 # Positive unorientable unit clauses: 0
% 8.29/1.57 # Negative unit clauses : 67
% 8.29/1.57 # Non-unit-clauses : 1015
% 8.29/1.57 # Current number of unprocessed clauses: 66416
% 8.29/1.57 # ...number of literals in the above : 144911
% 8.29/1.57 # Current number of archived formulas : 0
% 8.29/1.57 # Current number of archived clauses : 547
% 8.29/1.57 # Clause-clause subsumption calls (NU) : 57310
% 8.29/1.57 # Rec. Clause-clause subsumption calls : 35715
% 8.29/1.57 # Non-unit clause-clause subsumptions : 588
% 8.29/1.57 # Unit Clause-clause subsumption calls : 5505
% 8.29/1.57 # Rewrite failures with RHS unbound : 0
% 8.29/1.57 # BW rewrite match attempts : 681
% 8.29/1.57 # BW rewrite match successes : 54
% 8.29/1.57 # Condensation attempts : 0
% 8.29/1.57 # Condensation successes : 0
% 8.29/1.57 # Termbank termtop insertions : 1541375
% 8.29/1.57
% 8.29/1.57 # -------------------------------------------------
% 8.29/1.57 # User time : 0.937 s
% 8.29/1.57 # System time : 0.050 s
% 8.29/1.57 # Total time : 0.987 s
% 8.29/1.57 # Maximum resident set size: 1972 pages
% 8.29/1.57
% 8.29/1.57 # -------------------------------------------------
% 8.29/1.57 # User time : 0.940 s
% 8.29/1.57 # System time : 0.053 s
% 8.29/1.57 # Total time : 0.993 s
% 8.29/1.57 # Maximum resident set size: 1720 pages
% 8.29/1.57 % E---3.1 exiting
% 8.29/1.57 % E---3.1 exiting
%------------------------------------------------------------------------------