TSTP Solution File: NUM476+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM476+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n019.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 09:32:51 EDT 2022
% Result : Theorem 0.23s 1.42s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 13
% Syntax : Number of formulae : 76 ( 13 unt; 0 def)
% Number of atoms : 278 ( 101 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 324 ( 122 ~; 141 |; 42 &)
% ( 3 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 92 ( 2 sgn 41 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ( xl != sz00
=> ? [X1] :
( X1 = sdtsldt0(xm,xl)
& ? [X2] :
( X2 = sdtsldt0(sdtpldt0(xm,xn),xl)
& sdtlseqdt0(X1,X2)
& ? [X3] :
( X3 = sdtmndt0(X2,X1)
& sdtpldt0(sdtasdt0(xl,X1),sdtasdt0(xl,X3)) = sdtpldt0(sdtasdt0(xl,X1),xn)
& xn = sdtasdt0(xl,X3) ) ) ) )
=> doDivides0(xl,xn) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
fof(mAddComm,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mAddComm) ).
fof(mDefQuot,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( X1 != sz00
& doDivides0(X1,X2) )
=> ! [X3] :
( X3 = sdtsldt0(X2,X1)
<=> ( aNaturalNumber0(X3)
& X2 = sdtasdt0(X1,X3) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDefQuot) ).
fof(m__1324_04,hypothesis,
( doDivides0(xl,xm)
& doDivides0(xl,sdtpldt0(xm,xn)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1324_04) ).
fof(m__1324,hypothesis,
( aNaturalNumber0(xl)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1324) ).
fof(mDefDiff,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
=> ! [X3] :
( X3 = sdtmndt0(X2,X1)
<=> ( aNaturalNumber0(X3)
& sdtpldt0(X1,X3) = X2 ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDefDiff) ).
fof(mDefDiv,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( doDivides0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& X2 = sdtasdt0(X1,X3) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDefDiv) ).
fof(mSortsB_02,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mSortsB_02) ).
fof(mSortsB,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mSortsB) ).
fof(m_MulZero,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( sdtasdt0(X1,sz00) = sz00
& sz00 = sdtasdt0(sz00,X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m_MulZero) ).
fof(mSortsC,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mSortsC) ).
fof(mDivTrans,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( doDivides0(X1,X2)
& doDivides0(X2,X3) )
=> doDivides0(X1,X3) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDivTrans) ).
fof(m_AddZero,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m_AddZero) ).
fof(c_0_13,negated_conjecture,
~ ( ( xl != sz00
=> ? [X1] :
( X1 = sdtsldt0(xm,xl)
& ? [X2] :
( X2 = sdtsldt0(sdtpldt0(xm,xn),xl)
& sdtlseqdt0(X1,X2)
& ? [X3] :
( X3 = sdtmndt0(X2,X1)
& sdtpldt0(sdtasdt0(xl,X1),sdtasdt0(xl,X3)) = sdtpldt0(sdtasdt0(xl,X1),xn)
& xn = sdtasdt0(xl,X3) ) ) ) )
=> doDivides0(xl,xn) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_14,negated_conjecture,
( ( esk1_0 = sdtsldt0(xm,xl)
| xl = sz00 )
& ( esk2_0 = sdtsldt0(sdtpldt0(xm,xn),xl)
| xl = sz00 )
& ( sdtlseqdt0(esk1_0,esk2_0)
| xl = sz00 )
& ( esk3_0 = sdtmndt0(esk2_0,esk1_0)
| xl = sz00 )
& ( sdtpldt0(sdtasdt0(xl,esk1_0),sdtasdt0(xl,esk3_0)) = sdtpldt0(sdtasdt0(xl,esk1_0),xn)
| xl = sz00 )
& ( xn = sdtasdt0(xl,esk3_0)
| xl = sz00 )
& ~ doDivides0(xl,xn) ),
inference(distribute,[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_13])])])])])]) ).
fof(c_0_15,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| sdtpldt0(X3,X4) = sdtpldt0(X4,X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddComm])]) ).
fof(c_0_16,plain,
! [X4,X5,X6,X6] :
( ( aNaturalNumber0(X6)
| X6 != sdtsldt0(X5,X4)
| X4 = sz00
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( X5 = sdtasdt0(X4,X6)
| X6 != sdtsldt0(X5,X4)
| X4 = sz00
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( ~ aNaturalNumber0(X6)
| X5 != sdtasdt0(X4,X6)
| X6 = sdtsldt0(X5,X4)
| X4 = sz00
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefQuot])])])])])]) ).
cnf(c_0_17,negated_conjecture,
( xl = sz00
| sdtpldt0(sdtasdt0(xl,esk1_0),sdtasdt0(xl,esk3_0)) = sdtpldt0(sdtasdt0(xl,esk1_0),xn) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_19,plain,
( X2 = sz00
| X1 = sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X3 != sdtsldt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_20,negated_conjecture,
( xl = sz00
| esk1_0 = sdtsldt0(xm,xl) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,hypothesis,
doDivides0(xl,xm),
inference(split_conjunct,[status(thm)],[m__1324_04]) ).
cnf(c_0_22,hypothesis,
aNaturalNumber0(xl),
inference(split_conjunct,[status(thm)],[m__1324]) ).
cnf(c_0_23,hypothesis,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[m__1324]) ).
fof(c_0_24,plain,
! [X4,X5,X6,X6] :
( ( aNaturalNumber0(X6)
| X6 != sdtmndt0(X5,X4)
| ~ sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( sdtpldt0(X4,X6) = X5
| X6 != sdtmndt0(X5,X4)
| ~ sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( ~ aNaturalNumber0(X6)
| sdtpldt0(X4,X6) != X5
| X6 = sdtmndt0(X5,X4)
| ~ sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefDiff])])])])])]) ).
fof(c_0_25,plain,
! [X4,X5,X7] :
( ( aNaturalNumber0(esk4_2(X4,X5))
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( X5 = sdtasdt0(X4,esk4_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_26,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| aNaturalNumber0(sdtasdt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])]) ).
cnf(c_0_27,negated_conjecture,
( sdtpldt0(sdtasdt0(xl,esk1_0),xn) = sdtpldt0(sdtasdt0(xl,esk3_0),sdtasdt0(xl,esk1_0))
| sz00 = xl
| ~ aNaturalNumber0(sdtasdt0(xl,esk1_0))
| ~ aNaturalNumber0(sdtasdt0(xl,esk3_0)) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_28,negated_conjecture,
( sdtasdt0(xl,X1) = xm
| sz00 = xl
| X1 != esk1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[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_29,plain,
( aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| X3 != sdtmndt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_30,plain,
( X2 = sz00
| aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X3 != sdtsldt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_31,plain,
( doDivides0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_32,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_33,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| aNaturalNumber0(sdtpldt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB])]) ).
cnf(c_0_34,negated_conjecture,
( sdtpldt0(sdtasdt0(xl,esk3_0),xm) = sdtpldt0(xm,xn)
| sz00 = xl
| ~ aNaturalNumber0(sdtasdt0(xl,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_23])]) ).
cnf(c_0_35,negated_conjecture,
( xl = sz00
| xn = sdtasdt0(xl,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_36,hypothesis,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[m__1324]) ).
cnf(c_0_37,plain,
( aNaturalNumber0(sdtmndt0(X1,X2))
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[c_0_29]) ).
cnf(c_0_38,negated_conjecture,
( xl = sz00
| esk3_0 = sdtmndt0(esk2_0,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_39,negated_conjecture,
( xl = sz00
| sdtlseqdt0(esk1_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_40,plain,
( X1 = sz00
| aNaturalNumber0(sdtsldt0(X2,X1))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(er,[status(thm)],[c_0_30]) ).
cnf(c_0_41,plain,
( doDivides0(X1,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_31]),c_0_32]) ).
cnf(c_0_42,negated_conjecture,
~ doDivides0(xl,xn),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_43,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_44,negated_conjecture,
( sdtpldt0(xn,xm) = sdtpldt0(xm,xn)
| sz00 = xl ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]) ).
cnf(c_0_45,negated_conjecture,
( sz00 = xl
| aNaturalNumber0(esk3_0)
| ~ aNaturalNumber0(esk1_0)
| ~ aNaturalNumber0(esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]) ).
cnf(c_0_46,negated_conjecture,
( sz00 = xl
| aNaturalNumber0(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_20]),c_0_21]),c_0_22]),c_0_23])]) ).
cnf(c_0_47,negated_conjecture,
( sz00 = xl
| ~ aNaturalNumber0(esk3_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_35]),c_0_22])]),c_0_42]) ).
cnf(c_0_48,negated_conjecture,
( xl = sz00
| esk2_0 = sdtsldt0(sdtpldt0(xm,xn),xl) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_49,hypothesis,
doDivides0(xl,sdtpldt0(xm,xn)),
inference(split_conjunct,[status(thm)],[m__1324_04]) ).
cnf(c_0_50,negated_conjecture,
( sz00 = xl
| aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_23]),c_0_36])]) ).
fof(c_0_51,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_52,negated_conjecture,
( sz00 = xl
| ~ aNaturalNumber0(esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]) ).
cnf(c_0_53,negated_conjecture,
( sz00 = xl
| aNaturalNumber0(X1)
| X1 != esk2_0 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_48]),c_0_49]),c_0_22])]),c_0_50]) ).
cnf(c_0_54,plain,
( sz00 = sdtasdt0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_55,negated_conjecture,
sz00 = xl,
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_56,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_57,plain,
aNaturalNumber0(sz00),
inference(split_conjunct,[status(thm)],[mSortsC]) ).
cnf(c_0_58,plain,
( X1 = sdtasdt0(X2,esk4_2(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_59,plain,
( sdtasdt0(xl,X1) = xl
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_55]),c_0_55]) ).
fof(c_0_60,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_61,plain,
( doDivides0(X1,sz00)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_56]),c_0_57])]) ).
cnf(c_0_62,plain,
( xl = X1
| ~ doDivides0(xl,X1)
| ~ aNaturalNumber0(esk4_2(xl,X1))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_22])]) ).
cnf(c_0_63,plain,
( aNaturalNumber0(esk4_2(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_64,plain,
( doDivides0(X1,X2)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_65,plain,
( doDivides0(X1,xl)
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[c_0_61,c_0_55]) ).
fof(c_0_66,plain,
! [X2] :
( ( sdtpldt0(X2,sz00) = X2
| ~ aNaturalNumber0(X2) )
& ( X2 = sdtpldt0(sz00,X2)
| ~ aNaturalNumber0(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_AddZero])])]) ).
cnf(c_0_67,plain,
( xl = X1
| ~ doDivides0(xl,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_22])]) ).
cnf(c_0_68,hypothesis,
( doDivides0(X1,xm)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_21]),c_0_22]),c_0_23])]),c_0_65]) ).
cnf(c_0_69,plain,
( X1 = sdtpldt0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_70,hypothesis,
xl = xm,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_23]),c_0_22])]) ).
cnf(c_0_71,plain,
( sdtpldt0(xl,X1) = X1
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[c_0_69,c_0_55]) ).
cnf(c_0_72,hypothesis,
doDivides0(xm,sdtpldt0(xm,xn)),
inference(rw,[status(thm)],[c_0_49,c_0_70]) ).
cnf(c_0_73,plain,
( sdtpldt0(xm,X1) = X1
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[c_0_71,c_0_70]) ).
cnf(c_0_74,negated_conjecture,
~ doDivides0(xm,xn),
inference(rw,[status(thm)],[c_0_42,c_0_70]) ).
cnf(c_0_75,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_36])]),c_0_74]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM476+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jul 5 12:32:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.23/1.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.42 # Preprocessing time : 0.019 s
% 0.23/1.42
% 0.23/1.42 # Proof found!
% 0.23/1.42 # SZS status Theorem
% 0.23/1.42 # SZS output start CNFRefutation
% See solution above
% 0.23/1.42 # Proof object total steps : 76
% 0.23/1.42 # Proof object clause steps : 52
% 0.23/1.42 # Proof object formula steps : 24
% 0.23/1.42 # Proof object conjectures : 22
% 0.23/1.42 # Proof object clause conjectures : 19
% 0.23/1.42 # Proof object formula conjectures : 3
% 0.23/1.42 # Proof object initial clauses used : 26
% 0.23/1.42 # Proof object initial formulas used : 13
% 0.23/1.42 # Proof object generating inferences : 20
% 0.23/1.42 # Proof object simplifying inferences : 48
% 0.23/1.42 # Training examples: 0 positive, 0 negative
% 0.23/1.42 # Parsed axioms : 36
% 0.23/1.42 # Removed by relevancy pruning/SinE : 5
% 0.23/1.42 # Initial clauses : 61
% 0.23/1.42 # Removed in clause preprocessing : 1
% 0.23/1.42 # Initial clauses in saturation : 60
% 0.23/1.42 # Processed clauses : 482
% 0.23/1.42 # ...of these trivial : 5
% 0.23/1.42 # ...subsumed : 220
% 0.23/1.42 # ...remaining for further processing : 257
% 0.23/1.42 # Other redundant clauses eliminated : 27
% 0.23/1.42 # Clauses deleted for lack of memory : 0
% 0.23/1.42 # Backward-subsumed : 64
% 0.23/1.42 # Backward-rewritten : 112
% 0.23/1.42 # Generated clauses : 3125
% 0.23/1.42 # ...of the previous two non-trivial : 3022
% 0.23/1.42 # Contextual simplify-reflections : 113
% 0.23/1.42 # Paramodulations : 3078
% 0.23/1.42 # Factorizations : 0
% 0.23/1.42 # Equation resolutions : 46
% 0.23/1.42 # Current number of processed clauses : 79
% 0.23/1.42 # Positive orientable unit clauses : 9
% 0.23/1.42 # Positive unorientable unit clauses: 0
% 0.23/1.42 # Negative unit clauses : 3
% 0.23/1.42 # Non-unit-clauses : 67
% 0.23/1.42 # Current number of unprocessed clauses: 1162
% 0.23/1.42 # ...number of literals in the above : 7612
% 0.23/1.42 # Current number of archived formulas : 0
% 0.23/1.42 # Current number of archived clauses : 177
% 0.23/1.42 # Clause-clause subsumption calls (NU) : 6474
% 0.23/1.42 # Rec. Clause-clause subsumption calls : 2583
% 0.23/1.42 # Non-unit clause-clause subsumptions : 387
% 0.23/1.42 # Unit Clause-clause subsumption calls : 290
% 0.23/1.42 # Rewrite failures with RHS unbound : 0
% 0.23/1.42 # BW rewrite match attempts : 7
% 0.23/1.42 # BW rewrite match successes : 7
% 0.23/1.42 # Condensation attempts : 0
% 0.23/1.42 # Condensation successes : 0
% 0.23/1.42 # Termbank termtop insertions : 56392
% 0.23/1.42
% 0.23/1.42 # -------------------------------------------------
% 0.23/1.42 # User time : 0.131 s
% 0.23/1.42 # System time : 0.003 s
% 0.23/1.42 # Total time : 0.134 s
% 0.23/1.42 # Maximum resident set size: 4668 pages
% 0.23/23.41 eprover: CPU time limit exceeded, terminating
% 0.23/23.42 eprover: Cannot stat file /export/starexec/sandbox/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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/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/sandbox/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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48 eprover: No such file or directory
%------------------------------------------------------------------------------