%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM483+3 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n031.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 : 300s
% DateTime : Tue May 5 04:57:30 PM UTC 2026
% Result : Theorem 1.39s 1.75s
% Output : CNFRefutation 1.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 61 ( 16 unt; 0 def)
% Number of atoms : 354 ( 142 equ)
% Maximal formula atoms : 73 ( 5 avg)
% Number of connectives : 456 ( 163 ~; 211 |; 66 &)
% ( 1 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 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 : 78 ( 0 sgn 36 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mDefDiv,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( doDivides0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& X2 = sdtasdt0(X1,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiv) ).
fof(mSortsB_02,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(m__,conjecture,
? [X1] :
( aNaturalNumber0(X1)
& ( ? [X2] :
( aNaturalNumber0(X2)
& xk = sdtasdt0(X1,X2) )
| doDivides0(X1,xk) )
& ( ( X1 != sz00
& X1 != sz10
& ! [X2] :
( ( aNaturalNumber0(X2)
& ? [X3] :
( aNaturalNumber0(X3)
& X1 = sdtasdt0(X2,X3) )
& doDivides0(X2,X1) )
=> ( X2 = sz10
| X2 = X1 ) ) )
| isPrime0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m_MulUnit,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( sdtasdt0(X1,sz10) = X1
& X1 = sdtasdt0(sz10,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulUnit) ).
fof(mSortsC_01,axiom,
( aNaturalNumber0(sz10)
& sz10 != sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
fof(mDivLE,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( doDivides0(X1,X2)
& X2 != sz00 )
=> sdtlseqdt0(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivLE) ).
fof(m__1716,hypothesis,
aNaturalNumber0(xk),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1716) ).
fof(m__1716_04,hypothesis,
( xk != sz00
& xk != sz10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1716_04) ).
fof(mIH_03,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( X1 != X2
& sdtlseqdt0(X1,X2) )
=> iLess0(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIH_03) ).
fof(m__1700,hypothesis,
! [X1] :
( ( aNaturalNumber0(X1)
& X1 != sz00
& X1 != sz10 )
=> ( iLess0(X1,xk)
=> ? [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/benchmark/theBenchmark.p',m__1700) ).
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/benchmark/theBenchmark.p',mDivTrans) ).
fof(m_MulZero,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( sdtasdt0(X1,sz00) = sz00
& sz00 = sdtasdt0(sz00,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulZero) ).
fof(c_0_12,plain,
! [X152,X153,X155] :
( ( aNaturalNumber0(esk2_2(X152,X153))
| ~ doDivides0(X152,X153)
| ~ aNaturalNumber0(X152)
| ~ aNaturalNumber0(X153) )
& ( X153 = sdtasdt0(X152,esk2_2(X152,X153))
| ~ doDivides0(X152,X153)
| ~ aNaturalNumber0(X152)
| ~ aNaturalNumber0(X153) )
& ( ~ aNaturalNumber0(X155)
| X153 != sdtasdt0(X152,X155)
| doDivides0(X152,X153)
| ~ aNaturalNumber0(X152)
| ~ aNaturalNumber0(X153) ) ),
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_13,plain,
! [X98,X99] :
( ~ aNaturalNumber0(X98)
| ~ aNaturalNumber0(X99)
| aNaturalNumber0(sdtasdt0(X98,X99)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])]) ).
fof(c_0_14,negated_conjecture,
~ ? [X1] :
( aNaturalNumber0(X1)
& ( ? [X2] :
( aNaturalNumber0(X2)
& xk = sdtasdt0(X1,X2) )
| doDivides0(X1,xk) )
& ( ( X1 != sz00
& X1 != sz10
& ! [X2] :
( ( aNaturalNumber0(X2)
& ? [X3] :
( aNaturalNumber0(X3)
& X1 = sdtasdt0(X2,X3) )
& doDivides0(X2,X1) )
=> ( X2 = sz10
| X2 = X1 ) ) )
| isPrime0(X1) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_15,plain,
( doDivides0(X3,X2)
| ~ aNaturalNumber0(X1)
| X2 != sdtasdt0(X3,X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_17,plain,
! [X111] :
( ( sdtasdt0(X111,sz10) = X111
| ~ aNaturalNumber0(X111) )
& ( X111 = sdtasdt0(sz10,X111)
| ~ aNaturalNumber0(X111) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_MulUnit])])]) ).
fof(c_0_18,negated_conjecture,
! [X183,X184] :
( ( aNaturalNumber0(esk8_1(X183))
| X183 = sz00
| X183 = sz10
| ~ aNaturalNumber0(X184)
| xk != sdtasdt0(X183,X184)
| ~ aNaturalNumber0(X183) )
& ( aNaturalNumber0(esk9_1(X183))
| X183 = sz00
| X183 = sz10
| ~ aNaturalNumber0(X184)
| xk != sdtasdt0(X183,X184)
| ~ aNaturalNumber0(X183) )
& ( X183 = sdtasdt0(esk8_1(X183),esk9_1(X183))
| X183 = sz00
| X183 = sz10
| ~ aNaturalNumber0(X184)
| xk != sdtasdt0(X183,X184)
| ~ aNaturalNumber0(X183) )
& ( doDivides0(esk8_1(X183),X183)
| X183 = sz00
| X183 = sz10
| ~ aNaturalNumber0(X184)
| xk != sdtasdt0(X183,X184)
| ~ aNaturalNumber0(X183) )
& ( esk8_1(X183) != sz10
| X183 = sz00
| X183 = sz10
| ~ aNaturalNumber0(X184)
| xk != sdtasdt0(X183,X184)
| ~ aNaturalNumber0(X183) )
& ( esk8_1(X183) != X183
| X183 = sz00
| X183 = sz10
| ~ aNaturalNumber0(X184)
| xk != sdtasdt0(X183,X184)
| ~ aNaturalNumber0(X183) )
& ( ~ isPrime0(X183)
| ~ aNaturalNumber0(X184)
| xk != sdtasdt0(X183,X184)
| ~ aNaturalNumber0(X183) )
& ( aNaturalNumber0(esk8_1(X183))
| X183 = sz00
| X183 = sz10
| ~ doDivides0(X183,xk)
| ~ aNaturalNumber0(X183) )
& ( aNaturalNumber0(esk9_1(X183))
| X183 = sz00
| X183 = sz10
| ~ doDivides0(X183,xk)
| ~ aNaturalNumber0(X183) )
& ( X183 = sdtasdt0(esk8_1(X183),esk9_1(X183))
| X183 = sz00
| X183 = sz10
| ~ doDivides0(X183,xk)
| ~ aNaturalNumber0(X183) )
& ( doDivides0(esk8_1(X183),X183)
| X183 = sz00
| X183 = sz10
| ~ doDivides0(X183,xk)
| ~ aNaturalNumber0(X183) )
& ( esk8_1(X183) != sz10
| X183 = sz00
| X183 = sz10
| ~ doDivides0(X183,xk)
| ~ aNaturalNumber0(X183) )
& ( esk8_1(X183) != X183
| X183 = sz00
| X183 = sz10
| ~ doDivides0(X183,xk)
| ~ aNaturalNumber0(X183) )
& ( ~ isPrime0(X183)
| ~ doDivides0(X183,xk)
| ~ aNaturalNumber0(X183) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])])]) ).
cnf(c_0_19,plain,
( doDivides0(X1,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_15]),c_0_16]) ).
cnf(c_0_20,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_21,plain,
aNaturalNumber0(sz10),
inference(split_conjunct,[status(thm)],[mSortsC_01]) ).
fof(c_0_22,plain,
! [X168,X169] :
( ~ aNaturalNumber0(X168)
| ~ aNaturalNumber0(X169)
| ~ doDivides0(X168,X169)
| X169 = sz00
| sdtlseqdt0(X168,X169) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivLE])]) ).
cnf(c_0_23,negated_conjecture,
( doDivides0(esk8_1(X1),X1)
| X1 = sz00
| X1 = sz10
| ~ doDivides0(X1,xk)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_24,plain,
( doDivides0(X1,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]) ).
cnf(c_0_25,hypothesis,
aNaturalNumber0(xk),
inference(split_conjunct,[status(thm)],[m__1716]) ).
cnf(c_0_26,hypothesis,
xk != sz00,
inference(split_conjunct,[status(thm)],[m__1716_04]) ).
cnf(c_0_27,hypothesis,
xk != sz10,
inference(split_conjunct,[status(thm)],[m__1716_04]) ).
cnf(c_0_28,negated_conjecture,
( aNaturalNumber0(esk8_1(X1))
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X2)
| xk != sdtasdt0(X1,X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_29,plain,
! [X150,X151] :
( ~ aNaturalNumber0(X150)
| ~ aNaturalNumber0(X151)
| X150 = X151
| ~ sdtlseqdt0(X150,X151)
| iLess0(X150,X151) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIH_03])]) ).
cnf(c_0_30,plain,
( X2 = sz00
| sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_31,negated_conjecture,
doDivides0(esk8_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_23,c_0_24]),c_0_25])]),c_0_26]),c_0_27]) ).
cnf(c_0_32,negated_conjecture,
aNaturalNumber0(esk8_1(xk)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_20]),c_0_21])])]),c_0_25])]),c_0_26]),c_0_27]) ).
cnf(c_0_33,negated_conjecture,
( X1 = sz00
| X1 = sz10
| esk8_1(X1) != X1
| ~ aNaturalNumber0(X2)
| xk != sdtasdt0(X1,X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_34,hypothesis,
! [X176,X179,X180] :
( ( aNaturalNumber0(esk4_1(X176))
| ~ iLess0(X176,xk)
| ~ aNaturalNumber0(X176)
| X176 = sz00
| X176 = sz10 )
& ( aNaturalNumber0(esk5_1(X176))
| ~ iLess0(X176,xk)
| ~ aNaturalNumber0(X176)
| X176 = sz00
| X176 = sz10 )
& ( X176 = sdtasdt0(esk4_1(X176),esk5_1(X176))
| ~ iLess0(X176,xk)
| ~ aNaturalNumber0(X176)
| X176 = sz00
| X176 = sz10 )
& ( doDivides0(esk4_1(X176),X176)
| ~ iLess0(X176,xk)
| ~ aNaturalNumber0(X176)
| X176 = sz00
| X176 = sz10 )
& ( esk4_1(X176) != sz00
| ~ iLess0(X176,xk)
| ~ aNaturalNumber0(X176)
| X176 = sz00
| X176 = sz10 )
& ( esk4_1(X176) != sz10
| ~ iLess0(X176,xk)
| ~ aNaturalNumber0(X176)
| X176 = sz00
| X176 = sz10 )
& ( ~ aNaturalNumber0(X180)
| esk4_1(X176) != sdtasdt0(X179,X180)
| ~ aNaturalNumber0(X179)
| X179 = sz10
| X179 = esk4_1(X176)
| ~ iLess0(X176,xk)
| ~ aNaturalNumber0(X176)
| X176 = sz00
| X176 = sz10 )
& ( ~ doDivides0(X179,esk4_1(X176))
| ~ aNaturalNumber0(X179)
| X179 = sz10
| X179 = esk4_1(X176)
| ~ iLess0(X176,xk)
| ~ aNaturalNumber0(X176)
| X176 = sz00
| X176 = sz10 )
& ( isPrime0(esk4_1(X176))
| ~ iLess0(X176,xk)
| ~ aNaturalNumber0(X176)
| X176 = sz00
| X176 = sz10 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1700])])])])]) ).
cnf(c_0_35,plain,
( X1 = X2
| iLess0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_36,negated_conjecture,
sdtlseqdt0(esk8_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_30,c_0_31]),c_0_25]),c_0_32])]),c_0_26]) ).
cnf(c_0_37,negated_conjecture,
esk8_1(xk) != xk,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_20]),c_0_21])])]),c_0_25])]),c_0_26]),c_0_27]) ).
cnf(c_0_38,negated_conjecture,
( X1 = sz00
| X1 = sz10
| esk8_1(X1) != sz10
| ~ aNaturalNumber0(X2)
| xk != sdtasdt0(X1,X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_39,plain,
! [X159,X160,X161] :
( ~ aNaturalNumber0(X159)
| ~ aNaturalNumber0(X160)
| ~ aNaturalNumber0(X161)
| ~ doDivides0(X159,X160)
| ~ doDivides0(X160,X161)
| doDivides0(X159,X161) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivTrans])]) ).
cnf(c_0_40,hypothesis,
( isPrime0(esk4_1(X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(X1,xk)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_41,negated_conjecture,
iLess0(esk8_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_35,c_0_36]),c_0_25]),c_0_32])]),c_0_37]) ).
cnf(c_0_42,negated_conjecture,
esk8_1(xk) != sz10,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[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_25])]),c_0_26]),c_0_27]) ).
cnf(c_0_43,hypothesis,
( aNaturalNumber0(esk4_1(X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(X1,xk)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_44,plain,
( doDivides0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_45,hypothesis,
( doDivides0(esk4_1(X1),X1)
| X1 = sz00
| X1 = sz10
| ~ iLess0(X1,xk)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_46,negated_conjecture,
( ~ isPrime0(X1)
| ~ doDivides0(X1,xk)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_47,hypothesis,
( esk8_1(xk) = sz00
| isPrime0(esk4_1(esk8_1(xk))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_32])]),c_0_42]) ).
cnf(c_0_48,hypothesis,
( esk8_1(xk) = sz00
| aNaturalNumber0(esk4_1(esk8_1(xk))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_41]),c_0_32])]),c_0_42]) ).
cnf(c_0_49,negated_conjecture,
( X1 = sdtasdt0(esk8_1(X1),esk9_1(X1))
| X1 = sz00
| X1 = sz10
| ~ doDivides0(X1,xk)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_50,negated_conjecture,
( doDivides0(X1,xk)
| ~ doDivides0(X1,esk8_1(xk))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_31]),c_0_25]),c_0_32])]) ).
cnf(c_0_51,hypothesis,
( esk8_1(xk) = sz00
| doDivides0(esk4_1(esk8_1(xk)),esk8_1(xk)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_41]),c_0_32])]),c_0_42]) ).
cnf(c_0_52,negated_conjecture,
( esk8_1(xk) = sz00
| ~ doDivides0(esk4_1(esk8_1(xk)),xk) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]) ).
fof(c_0_53,plain,
! [X112] :
( ( sdtasdt0(X112,sz00) = sz00
| ~ aNaturalNumber0(X112) )
& ( sz00 = sdtasdt0(sz00,X112)
| ~ aNaturalNumber0(X112) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_MulZero])])]) ).
cnf(c_0_54,negated_conjecture,
sdtasdt0(esk8_1(xk),esk9_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_49,c_0_24]),c_0_25])]),c_0_26]),c_0_27]) ).
cnf(c_0_55,negated_conjecture,
esk8_1(xk) = sz00,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_48]),c_0_52]) ).
cnf(c_0_56,negated_conjecture,
( aNaturalNumber0(esk9_1(X1))
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X2)
| xk != sdtasdt0(X1,X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_57,plain,
( sz00 = sdtasdt0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_58,negated_conjecture,
sdtasdt0(sz00,esk9_1(xk)) = xk,
inference(rw,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_59,negated_conjecture,
aNaturalNumber0(esk9_1(xk)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_20]),c_0_21])])]),c_0_25])]),c_0_26]),c_0_27]) ).
cnf(c_0_60,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59])]),c_0_26]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM483+3 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.13/0.32 % Computer : n031.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Tue May 5 00:39:53 EDT 2026
% 0.13/0.32 % CPUTime :
% 0.13/0.33 % start to proof: theBenchmark
% 1.39/1.75 % Version : CSE_E---1.7
% 1.39/1.75 % Problem : theBenchmark.p
% 1.39/1.75 % SZS status Theorem for theBenchmark.p
% 1.39/1.75 % SZS output start CNFRefutation
% See solution above
% 1.39/1.75 % Total time : 1.371s
%------------------------------------------------------------------------------