TSTP Solution File: NUM481+3 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM481+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n008.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 : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 09:32:54 EDT 2022
% Result : Theorem 0.23s 1.40s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 59 ( 14 unt; 0 def)
% Number of atoms : 393 ( 160 equ)
% Maximal formula atoms : 128 ( 6 avg)
% Number of connectives : 508 ( 174 ~; 227 |; 84 &)
% ( 1 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 36 ( 6 avg)
% Maximal term depth : 3 ( 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 : 85 ( 0 sgn 40 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
! [X1] :
( ( aNaturalNumber0(X1)
& X1 != sz00
& X1 != sz10 )
=> ( ! [X2] :
( ( aNaturalNumber0(X2)
& X2 != sz00
& X2 != sz10 )
=> ( iLess0(X2,X1)
=> ? [X3] :
( aNaturalNumber0(X3)
& ? [X4] :
( aNaturalNumber0(X4)
& X2 = sdtasdt0(X3,X4) )
& doDivides0(X3,X2)
& X3 != sz00
& X3 != sz10
& ! [X4] :
( ( aNaturalNumber0(X4)
& ( ? [X5] :
( aNaturalNumber0(X5)
& X3 = sdtasdt0(X4,X5) )
| doDivides0(X4,X3) ) )
=> ( X4 = sz10
| X4 = X3 ) )
& isPrime0(X3) ) ) )
=> ? [X2] :
( aNaturalNumber0(X2)
& ( ? [X3] :
( aNaturalNumber0(X3)
& X1 = sdtasdt0(X2,X3) )
| doDivides0(X2,X1) )
& ( ( X2 != sz00
& X2 != sz10
& ! [X3] :
( ( aNaturalNumber0(X3)
& ? [X4] :
( aNaturalNumber0(X4)
& X2 = sdtasdt0(X3,X4) )
& doDivides0(X3,X2) )
=> ( X3 = sz10
| X3 = X2 ) ) )
| isPrime0(X2) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
fof(mDefDiv,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( doDivides0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& X2 = sdtasdt0(X1,X3) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDefDiv) ).
fof(m_MulUnit,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( sdtasdt0(X1,sz10) = X1
& X1 = sdtasdt0(sz10,X1) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m_MulUnit) ).
fof(mSortsB_02,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mSortsB_02) ).
fof(mSortsC_01,axiom,
( aNaturalNumber0(sz10)
& sz10 != sz00 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mSortsC_01) ).
fof(mDivLE,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( doDivides0(X1,X2)
& X2 != sz00 )
=> sdtlseqdt0(X1,X2) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDivLE) ).
fof(mIH_03,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( X1 != X2
& sdtlseqdt0(X1,X2) )
=> iLess0(X1,X2) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mIH_03) ).
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDivTrans) ).
fof(m_MulZero,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( sdtasdt0(X1,sz00) = sz00
& sz00 = sdtasdt0(sz00,X1) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m_MulZero) ).
fof(c_0_9,negated_conjecture,
~ ! [X1] :
( ( aNaturalNumber0(X1)
& X1 != sz00
& X1 != sz10 )
=> ( ! [X2] :
( ( aNaturalNumber0(X2)
& X2 != sz00
& X2 != sz10 )
=> ( iLess0(X2,X1)
=> ? [X3] :
( aNaturalNumber0(X3)
& ? [X4] :
( aNaturalNumber0(X4)
& X2 = sdtasdt0(X3,X4) )
& doDivides0(X3,X2)
& X3 != sz00
& X3 != sz10
& ! [X4] :
( ( aNaturalNumber0(X4)
& ( ? [X5] :
( aNaturalNumber0(X5)
& X3 = sdtasdt0(X4,X5) )
| doDivides0(X4,X3) ) )
=> ( X4 = sz10
| X4 = X3 ) )
& isPrime0(X3) ) ) )
=> ? [X2] :
( aNaturalNumber0(X2)
& ( ? [X3] :
( aNaturalNumber0(X3)
& X1 = sdtasdt0(X2,X3) )
| doDivides0(X2,X1) )
& ( ( X2 != sz00
& X2 != sz10
& ! [X3] :
( ( aNaturalNumber0(X3)
& ? [X4] :
( aNaturalNumber0(X4)
& X2 = sdtasdt0(X3,X4) )
& doDivides0(X3,X2) )
=> ( X3 = sz10
| X3 = X2 ) ) )
| isPrime0(X2) ) ) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_10,plain,
! [X4,X5,X7] :
( ( aNaturalNumber0(esk2_2(X4,X5))
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( X5 = sdtasdt0(X4,esk2_2(X4,X5))
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( ~ aNaturalNumber0(X7)
| X5 != sdtasdt0(X4,X7)
| doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefDiv])])])])])])]) ).
fof(c_0_11,plain,
! [X2] :
( ( sdtasdt0(X2,sz10) = X2
| ~ aNaturalNumber0(X2) )
& ( X2 = sdtasdt0(sz10,X2)
| ~ aNaturalNumber0(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_MulUnit])])]) ).
fof(c_0_12,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| aNaturalNumber0(sdtasdt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])]) ).
fof(c_0_13,negated_conjecture,
! [X7,X10,X11,X12,X13] :
( aNaturalNumber0(esk4_0)
& esk4_0 != sz00
& esk4_0 != sz10
& ( aNaturalNumber0(esk5_1(X7))
| ~ iLess0(X7,esk4_0)
| ~ aNaturalNumber0(X7)
| X7 = sz00
| X7 = sz10 )
& ( aNaturalNumber0(esk6_1(X7))
| ~ iLess0(X7,esk4_0)
| ~ aNaturalNumber0(X7)
| X7 = sz00
| X7 = sz10 )
& ( X7 = sdtasdt0(esk5_1(X7),esk6_1(X7))
| ~ iLess0(X7,esk4_0)
| ~ aNaturalNumber0(X7)
| X7 = sz00
| X7 = sz10 )
& ( doDivides0(esk5_1(X7),X7)
| ~ iLess0(X7,esk4_0)
| ~ aNaturalNumber0(X7)
| X7 = sz00
| X7 = sz10 )
& ( esk5_1(X7) != sz00
| ~ iLess0(X7,esk4_0)
| ~ aNaturalNumber0(X7)
| X7 = sz00
| X7 = sz10 )
& ( esk5_1(X7) != sz10
| ~ iLess0(X7,esk4_0)
| ~ aNaturalNumber0(X7)
| X7 = sz00
| X7 = sz10 )
& ( ~ aNaturalNumber0(X11)
| esk5_1(X7) != sdtasdt0(X10,X11)
| ~ aNaturalNumber0(X10)
| X10 = sz10
| X10 = esk5_1(X7)
| ~ iLess0(X7,esk4_0)
| ~ aNaturalNumber0(X7)
| X7 = sz00
| X7 = sz10 )
& ( ~ doDivides0(X10,esk5_1(X7))
| ~ aNaturalNumber0(X10)
| X10 = sz10
| X10 = esk5_1(X7)
| ~ iLess0(X7,esk4_0)
| ~ aNaturalNumber0(X7)
| X7 = sz00
| X7 = sz10 )
& ( isPrime0(esk5_1(X7))
| ~ iLess0(X7,esk4_0)
| ~ aNaturalNumber0(X7)
| X7 = sz00
| X7 = sz10 )
& ( aNaturalNumber0(esk7_1(X12))
| X12 = sz00
| X12 = sz10
| ~ aNaturalNumber0(X13)
| esk4_0 != sdtasdt0(X12,X13)
| ~ aNaturalNumber0(X12) )
& ( aNaturalNumber0(esk8_1(X12))
| X12 = sz00
| X12 = sz10
| ~ aNaturalNumber0(X13)
| esk4_0 != sdtasdt0(X12,X13)
| ~ aNaturalNumber0(X12) )
& ( X12 = sdtasdt0(esk7_1(X12),esk8_1(X12))
| X12 = sz00
| X12 = sz10
| ~ aNaturalNumber0(X13)
| esk4_0 != sdtasdt0(X12,X13)
| ~ aNaturalNumber0(X12) )
& ( doDivides0(esk7_1(X12),X12)
| X12 = sz00
| X12 = sz10
| ~ aNaturalNumber0(X13)
| esk4_0 != sdtasdt0(X12,X13)
| ~ aNaturalNumber0(X12) )
& ( esk7_1(X12) != sz10
| X12 = sz00
| X12 = sz10
| ~ aNaturalNumber0(X13)
| esk4_0 != sdtasdt0(X12,X13)
| ~ aNaturalNumber0(X12) )
& ( esk7_1(X12) != X12
| X12 = sz00
| X12 = sz10
| ~ aNaturalNumber0(X13)
| esk4_0 != sdtasdt0(X12,X13)
| ~ aNaturalNumber0(X12) )
& ( ~ isPrime0(X12)
| ~ aNaturalNumber0(X13)
| esk4_0 != sdtasdt0(X12,X13)
| ~ aNaturalNumber0(X12) )
& ( aNaturalNumber0(esk7_1(X12))
| X12 = sz00
| X12 = sz10
| ~ doDivides0(X12,esk4_0)
| ~ aNaturalNumber0(X12) )
& ( aNaturalNumber0(esk8_1(X12))
| X12 = sz00
| X12 = sz10
| ~ doDivides0(X12,esk4_0)
| ~ aNaturalNumber0(X12) )
& ( X12 = sdtasdt0(esk7_1(X12),esk8_1(X12))
| X12 = sz00
| X12 = sz10
| ~ doDivides0(X12,esk4_0)
| ~ aNaturalNumber0(X12) )
& ( doDivides0(esk7_1(X12),X12)
| X12 = sz00
| X12 = sz10
| ~ doDivides0(X12,esk4_0)
| ~ aNaturalNumber0(X12) )
& ( esk7_1(X12) != sz10
| X12 = sz00
| X12 = sz10
| ~ doDivides0(X12,esk4_0)
| ~ aNaturalNumber0(X12) )
& ( esk7_1(X12) != X12
| X12 = sz00
| X12 = sz10
| ~ doDivides0(X12,esk4_0)
| ~ aNaturalNumber0(X12) )
& ( ~ isPrime0(X12)
| ~ doDivides0(X12,esk4_0)
| ~ aNaturalNumber0(X12) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])])])]) ).
cnf(c_0_14,plain,
( doDivides0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
aNaturalNumber0(sz10),
inference(split_conjunct,[status(thm)],[mSortsC_01]) ).
fof(c_0_17,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| ~ doDivides0(X3,X4)
| X4 = sz00
| sdtlseqdt0(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivLE])]) ).
cnf(c_0_18,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,negated_conjecture,
( X1 = sz10
| X1 = sz00
| X1 = sdtasdt0(esk7_1(X1),esk8_1(X1))
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,plain,
( doDivides0(X1,X1)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])])]) ).
cnf(c_0_21,negated_conjecture,
aNaturalNumber0(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_22,negated_conjecture,
esk4_0 != sz10,
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_23,negated_conjecture,
esk4_0 != sz00,
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_24,negated_conjecture,
( X1 = sz10
| X1 = sz00
| aNaturalNumber0(esk8_1(X1))
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_25,negated_conjecture,
( X1 = sz10
| X1 = sz00
| aNaturalNumber0(esk7_1(X1))
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_26,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| X3 = X4
| ~ sdtlseqdt0(X3,X4)
| iLess0(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIH_03])]) ).
cnf(c_0_27,plain,
( sdtlseqdt0(X1,X2)
| X2 = sz00
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_28,negated_conjecture,
( X1 = sz10
| X1 = sz00
| doDivides0(esk7_1(X1),X1)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_29,plain,
! [X4,X5,X6] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| ~ doDivides0(X4,X5)
| ~ doDivides0(X5,X6)
| doDivides0(X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivTrans])]) ).
cnf(c_0_30,plain,
( doDivides0(X1,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_14]),c_0_18]) ).
cnf(c_0_31,negated_conjecture,
sdtasdt0(esk7_1(esk4_0),esk8_1(esk4_0)) = esk4_0,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]),c_0_22]),c_0_23]) ).
cnf(c_0_32,negated_conjecture,
aNaturalNumber0(esk8_1(esk4_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_20]),c_0_21])]),c_0_22]),c_0_23]) ).
cnf(c_0_33,negated_conjecture,
aNaturalNumber0(esk7_1(esk4_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_20]),c_0_21])]),c_0_22]),c_0_23]) ).
cnf(c_0_34,negated_conjecture,
( X1 = sz10
| X1 = sz00
| aNaturalNumber0(esk5_1(X1))
| ~ aNaturalNumber0(X1)
| ~ iLess0(X1,esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_35,plain,
( iLess0(X1,X2)
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_36,negated_conjecture,
( X1 = sz10
| X1 = sz00
| sdtlseqdt0(esk7_1(X1),X1)
| ~ doDivides0(X1,esk4_0)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_25]) ).
cnf(c_0_37,negated_conjecture,
( X1 = sz10
| X1 = sz00
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,esk4_0)
| esk7_1(X1) != X1 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_38,negated_conjecture,
( X1 = sz10
| X1 = sz00
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,esk4_0)
| esk7_1(X1) != sz10 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_39,plain,
( doDivides0(X1,X2)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_40,negated_conjecture,
doDivides0(esk7_1(esk4_0),esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]),c_0_33])]) ).
cnf(c_0_41,negated_conjecture,
( X1 = sz10
| X1 = sz00
| doDivides0(esk5_1(X1),X1)
| ~ aNaturalNumber0(X1)
| ~ iLess0(X1,esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_42,negated_conjecture,
( X1 = esk4_0
| X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk5_1(X1))
| ~ sdtlseqdt0(X1,esk4_0)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_21])]) ).
cnf(c_0_43,negated_conjecture,
sdtlseqdt0(esk7_1(esk4_0),esk4_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_20]),c_0_21])]),c_0_22]),c_0_23]) ).
cnf(c_0_44,negated_conjecture,
esk7_1(esk4_0) != esk4_0,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_20]),c_0_21])]),c_0_22]),c_0_23]) ).
cnf(c_0_45,negated_conjecture,
esk7_1(esk4_0) != sz10,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_20]),c_0_21])]),c_0_22]),c_0_23]) ).
cnf(c_0_46,negated_conjecture,
( X1 = sz10
| X1 = sz00
| isPrime0(esk5_1(X1))
| ~ aNaturalNumber0(X1)
| ~ iLess0(X1,esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_47,negated_conjecture,
( doDivides0(X1,esk4_0)
| ~ doDivides0(X1,esk7_1(esk4_0))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_33]),c_0_21])]) ).
cnf(c_0_48,negated_conjecture,
( X1 = esk4_0
| X1 = sz00
| X1 = sz10
| doDivides0(esk5_1(X1),X1)
| ~ sdtlseqdt0(X1,esk4_0)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_35]),c_0_21])]) ).
cnf(c_0_49,negated_conjecture,
( esk7_1(esk4_0) = sz00
| aNaturalNumber0(esk5_1(esk7_1(esk4_0))) ),
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_33])]),c_0_44]),c_0_45]) ).
cnf(c_0_50,negated_conjecture,
( X1 = esk4_0
| X1 = sz00
| X1 = sz10
| isPrime0(esk5_1(X1))
| ~ sdtlseqdt0(X1,esk4_0)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_35]),c_0_21])]) ).
cnf(c_0_51,negated_conjecture,
( ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,esk4_0)
| ~ isPrime0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_52,negated_conjecture,
( esk7_1(esk4_0) = sz00
| doDivides0(esk5_1(esk7_1(esk4_0)),esk4_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_43]),c_0_33])]),c_0_44]),c_0_45]),c_0_49]) ).
cnf(c_0_53,negated_conjecture,
( esk7_1(esk4_0) = sz00
| isPrime0(esk5_1(esk7_1(esk4_0))) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_43]),c_0_33])]),c_0_44]),c_0_45]) ).
fof(c_0_54,plain,
! [X2] :
( ( sdtasdt0(X2,sz00) = sz00
| ~ aNaturalNumber0(X2) )
& ( sz00 = sdtasdt0(sz00,X2)
| ~ aNaturalNumber0(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_MulZero])])]) ).
cnf(c_0_55,negated_conjecture,
esk7_1(esk4_0) = sz00,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_49]),c_0_53]) ).
cnf(c_0_56,plain,
( sz00 = sdtasdt0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_57,negated_conjecture,
sdtasdt0(sz00,esk8_1(esk4_0)) = esk4_0,
inference(rw,[status(thm)],[c_0_31,c_0_55]) ).
cnf(c_0_58,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_32])]),c_0_23]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM481+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : run_ET %s %d
% 0.13/0.33 % Computer : n008.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jul 5 03:59:53 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.23/1.40 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.23/1.40 # Preprocessing time : 0.019 s
% 0.23/1.40
% 0.23/1.40 # Proof found!
% 0.23/1.40 # SZS status Theorem
% 0.23/1.40 # SZS output start CNFRefutation
% See solution above
% 0.23/1.40 # Proof object total steps : 59
% 0.23/1.40 # Proof object clause steps : 41
% 0.23/1.40 # Proof object formula steps : 18
% 0.23/1.40 # Proof object conjectures : 34
% 0.23/1.40 # Proof object clause conjectures : 31
% 0.23/1.40 # Proof object formula conjectures : 3
% 0.23/1.40 # Proof object initial clauses used : 21
% 0.23/1.40 # Proof object initial formulas used : 9
% 0.23/1.40 # Proof object generating inferences : 19
% 0.23/1.40 # Proof object simplifying inferences : 61
% 0.23/1.40 # Training examples: 0 positive, 0 negative
% 0.23/1.40 # Parsed axioms : 38
% 0.23/1.40 # Removed by relevancy pruning/SinE : 0
% 0.23/1.40 # Initial clauses : 93
% 0.23/1.40 # Removed in clause preprocessing : 3
% 0.23/1.40 # Initial clauses in saturation : 90
% 0.23/1.40 # Processed clauses : 457
% 0.23/1.40 # ...of these trivial : 1
% 0.23/1.40 # ...subsumed : 195
% 0.23/1.40 # ...remaining for further processing : 261
% 0.23/1.40 # Other redundant clauses eliminated : 26
% 0.23/1.40 # Clauses deleted for lack of memory : 0
% 0.23/1.40 # Backward-subsumed : 4
% 0.23/1.40 # Backward-rewritten : 71
% 0.23/1.40 # Generated clauses : 1460
% 0.23/1.40 # ...of the previous two non-trivial : 1354
% 0.23/1.40 # Contextual simplify-reflections : 173
% 0.23/1.40 # Paramodulations : 1412
% 0.23/1.40 # Factorizations : 0
% 0.23/1.40 # Equation resolutions : 45
% 0.23/1.40 # Current number of processed clauses : 184
% 0.23/1.40 # Positive orientable unit clauses : 12
% 0.23/1.40 # Positive unorientable unit clauses: 0
% 0.23/1.40 # Negative unit clauses : 7
% 0.23/1.40 # Non-unit-clauses : 165
% 0.23/1.40 # Current number of unprocessed clauses: 691
% 0.23/1.40 # ...number of literals in the above : 4381
% 0.23/1.40 # Current number of archived formulas : 0
% 0.23/1.40 # Current number of archived clauses : 75
% 0.23/1.40 # Clause-clause subsumption calls (NU) : 10469
% 0.23/1.40 # Rec. Clause-clause subsumption calls : 1911
% 0.23/1.40 # Non-unit clause-clause subsumptions : 305
% 0.23/1.40 # Unit Clause-clause subsumption calls : 650
% 0.23/1.40 # Rewrite failures with RHS unbound : 0
% 0.23/1.40 # BW rewrite match attempts : 6
% 0.23/1.40 # BW rewrite match successes : 6
% 0.23/1.40 # Condensation attempts : 0
% 0.23/1.40 # Condensation successes : 0
% 0.23/1.40 # Termbank termtop insertions : 33899
% 0.23/1.40
% 0.23/1.40 # -------------------------------------------------
% 0.23/1.40 # User time : 0.067 s
% 0.23/1.40 # System time : 0.002 s
% 0.23/1.40 # Total time : 0.069 s
% 0.23/1.40 # Maximum resident set size: 4444 pages
% 0.23/23.40 eprover: CPU time limit exceeded, terminating
% 0.23/23.41 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.41 eprover: No such file or directory
% 0.23/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.42 eprover: No such file or directory
% 0.23/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.42 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.44 eprover: CPU time limit exceeded, terminating
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.49 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.49 eprover: No such file or directory
% 0.23/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.50 eprover: No such file or directory
% 0.23/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.50 eprover: No such file or directory
% 0.23/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.51 eprover: No such file or directory
%------------------------------------------------------------------------------