%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM528+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 : n002.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 04:57:42 PM UTC 2026
% Result : Theorem 3.88s 3.15s
% Output : CNFRefutation 3.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 27
% Syntax : Number of formulae : 150 ( 42 unt; 0 def)
% Number of atoms : 541 ( 185 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 638 ( 247 ~; 277 |; 82 &)
% ( 3 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-2 aty)
% Number of variables : 162 ( 0 sgn 79 !; 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(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/sandbox2/benchmark/theBenchmark.p',mDefQuot) ).
fof(mLETotal,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
| ( X2 != X1
& sdtlseqdt0(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETotal) ).
fof(m__3082,hypothesis,
sdtasdt0(xm,xm) = sdtasdt0(xp,sdtasdt0(xq,xq)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3082) ).
fof(m__2987,hypothesis,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp)
& xn != sz00
& xm != sz00
& xp != sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2987) ).
fof(m__3046,hypothesis,
( ? [X1] :
( aNaturalNumber0(X1)
& sdtasdt0(xn,xn) = sdtasdt0(xp,X1) )
& doDivides0(xp,sdtasdt0(xn,xn))
& ? [X1] :
( aNaturalNumber0(X1)
& xn = sdtasdt0(xp,X1) )
& doDivides0(xp,xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3046) ).
fof(m__,conjecture,
( xm != xn
& ( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xm,X1) = xn )
| sdtlseqdt0(xm,xn) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m__3059,hypothesis,
( aNaturalNumber0(xq)
& xn = sdtasdt0(xp,xq)
& xq = sdtsldt0(xn,xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3059) ).
fof(mMonMul2,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( X1 != sz00
=> sdtlseqdt0(X2,sdtasdt0(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMonMul2) ).
fof(m__3152,hypothesis,
( ( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xn,X1) = xm )
| sdtlseqdt0(xn,xm) )
=> ( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(sdtasdt0(xn,xn),X1) = sdtasdt0(xm,xm) )
& sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3152) ).
fof(m_AddZero,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_AddZero) ).
fof(m__3014,hypothesis,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3014) ).
fof(mLEAsym,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEAsym) ).
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/benchmark/theBenchmark.p',mAddCanc) ).
fof(mSortsC,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(mMulComm,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(mDefLE,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& sdtpldt0(X1,X3) = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefLE) ).
fof(mSortsB,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
fof(mPDP,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( isPrime0(X3)
& doDivides0(X3,sdtasdt0(X1,X2)) )
=> ( doDivides0(X3,X1)
| doDivides0(X3,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPDP) ).
fof(m__3025,hypothesis,
( xp != sz10
& ! [X1] :
( ( aNaturalNumber0(X1)
& ( ? [X2] :
( aNaturalNumber0(X2)
& xp = sdtasdt0(X1,X2) )
| doDivides0(X1,xp) ) )
=> ( X1 = sz10
| X1 = xp ) )
& isPrime0(xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3025) ).
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(mPrimDiv,axiom,
! [X1] :
( ( aNaturalNumber0(X1)
& X1 != sz00
& X1 != sz10 )
=> ? [X2] :
( aNaturalNumber0(X2)
& doDivides0(X2,X1)
& isPrime0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPrimDiv) ).
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(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/benchmark/theBenchmark.p',mMulCanc) ).
fof(mZeroMul,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtasdt0(X1,X2) = sz00
=> ( X1 = sz00
| X2 = sz00 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroMul) ).
fof(c_0_27,plain,
! [X159,X160,X162] :
( ( aNaturalNumber0(esk2_2(X159,X160))
| ~ doDivides0(X159,X160)
| ~ aNaturalNumber0(X159)
| ~ aNaturalNumber0(X160) )
& ( X160 = sdtasdt0(X159,esk2_2(X159,X160))
| ~ doDivides0(X159,X160)
| ~ aNaturalNumber0(X159)
| ~ aNaturalNumber0(X160) )
& ( ~ aNaturalNumber0(X162)
| X160 != sdtasdt0(X159,X162)
| doDivides0(X159,X160)
| ~ aNaturalNumber0(X159)
| ~ aNaturalNumber0(X160) ) ),
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_28,plain,
! [X105,X106] :
( ~ aNaturalNumber0(X105)
| ~ aNaturalNumber0(X106)
| aNaturalNumber0(sdtasdt0(X105,X106)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])]) ).
fof(c_0_29,plain,
! [X163,X164,X165] :
( ( aNaturalNumber0(X165)
| X165 != sdtsldt0(X164,X163)
| X163 = sz00
| ~ doDivides0(X163,X164)
| ~ aNaturalNumber0(X163)
| ~ aNaturalNumber0(X164) )
& ( X164 = sdtasdt0(X163,X165)
| X165 != sdtsldt0(X164,X163)
| X163 = sz00
| ~ doDivides0(X163,X164)
| ~ aNaturalNumber0(X163)
| ~ aNaturalNumber0(X164) )
& ( ~ aNaturalNumber0(X165)
| X164 != sdtasdt0(X163,X165)
| X165 = sdtsldt0(X164,X163)
| X163 = sz00
| ~ doDivides0(X163,X164)
| ~ aNaturalNumber0(X163)
| ~ aNaturalNumber0(X164) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefQuot])])])]) ).
cnf(c_0_30,plain,
( doDivides0(X3,X2)
| ~ aNaturalNumber0(X1)
| X2 != sdtasdt0(X3,X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_31,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_32,plain,
( X1 = sdtsldt0(X2,X3)
| X3 = sz00
| ~ aNaturalNumber0(X1)
| X2 != sdtasdt0(X3,X1)
| ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_33,plain,
( doDivides0(X1,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_30]),c_0_31]) ).
fof(c_0_34,plain,
! [X146,X147] :
( ( X147 != X146
| sdtlseqdt0(X146,X147)
| ~ aNaturalNumber0(X146)
| ~ aNaturalNumber0(X147) )
& ( sdtlseqdt0(X147,X146)
| sdtlseqdt0(X146,X147)
| ~ aNaturalNumber0(X146)
| ~ aNaturalNumber0(X147) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETotal])])]) ).
cnf(c_0_35,hypothesis,
sdtasdt0(xm,xm) = sdtasdt0(xp,sdtasdt0(xq,xq)),
inference(split_conjunct,[status(thm)],[m__3082]) ).
cnf(c_0_36,hypothesis,
aNaturalNumber0(xp),
inference(split_conjunct,[status(thm)],[m__2987]) ).
cnf(c_0_37,plain,
( sdtsldt0(sdtasdt0(X1,X2),X1) = X2
| X1 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_32]),c_0_31]),c_0_33]) ).
cnf(c_0_38,hypothesis,
xp != sz00,
inference(split_conjunct,[status(thm)],[m__2987]) ).
fof(c_0_39,hypothesis,
( aNaturalNumber0(esk7_0)
& sdtasdt0(xn,xn) = sdtasdt0(xp,esk7_0)
& doDivides0(xp,sdtasdt0(xn,xn))
& aNaturalNumber0(esk8_0)
& xn = sdtasdt0(xp,esk8_0)
& doDivides0(xp,xn) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__3046])]) ).
fof(c_0_40,negated_conjecture,
~ ( xm != xn
& ( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xm,X1) = xn )
| sdtlseqdt0(xm,xn) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_41,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_42,hypothesis,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[m__2987]) ).
cnf(c_0_43,hypothesis,
( aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_35]),c_0_36])]) ).
cnf(c_0_44,hypothesis,
aNaturalNumber0(xq),
inference(split_conjunct,[status(thm)],[m__3059]) ).
cnf(c_0_45,hypothesis,
( sdtsldt0(sdtasdt0(xp,X1),xp) = X1
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_36]),c_0_38]) ).
cnf(c_0_46,hypothesis,
sdtasdt0(xn,xn) = sdtasdt0(xp,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_47,hypothesis,
aNaturalNumber0(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_48,plain,
! [X155,X156] :
( ~ aNaturalNumber0(X155)
| ~ aNaturalNumber0(X156)
| X155 = sz00
| sdtlseqdt0(X156,sdtasdt0(X156,X155)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMonMul2])]) ).
fof(c_0_49,negated_conjecture,
! [X199] :
( ( ~ aNaturalNumber0(X199)
| sdtpldt0(xm,X199) != xn
| xm = xn )
& ( ~ sdtlseqdt0(xm,xn)
| xm = xn ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])])]) ).
cnf(c_0_50,hypothesis,
( sdtlseqdt0(X1,xm)
| sdtlseqdt0(xm,X1)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_51,hypothesis,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[m__2987]) ).
fof(c_0_52,hypothesis,
! [X197] :
( ( aNaturalNumber0(esk9_0)
| ~ aNaturalNumber0(X197)
| sdtpldt0(xn,X197) != xm )
& ( sdtpldt0(sdtasdt0(xn,xn),esk9_0) = sdtasdt0(xm,xm)
| ~ aNaturalNumber0(X197)
| sdtpldt0(xn,X197) != xm )
& ( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
| ~ aNaturalNumber0(X197)
| sdtpldt0(xn,X197) != xm )
& ( aNaturalNumber0(esk9_0)
| ~ sdtlseqdt0(xn,xm) )
& ( sdtpldt0(sdtasdt0(xn,xn),esk9_0) = sdtasdt0(xm,xm)
| ~ sdtlseqdt0(xn,xm) )
& ( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
| ~ sdtlseqdt0(xn,xm) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3152])])])])]) ).
fof(c_0_53,plain,
! [X112] :
( ( sdtpldt0(X112,sz00) = X112
| ~ aNaturalNumber0(X112) )
& ( X112 = sdtpldt0(sz00,X112)
| ~ aNaturalNumber0(X112) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_AddZero])])]) ).
cnf(c_0_54,hypothesis,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
inference(split_conjunct,[status(thm)],[m__3014]) ).
cnf(c_0_55,hypothesis,
aNaturalNumber0(sdtasdt0(xm,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_31]),c_0_44])]) ).
cnf(c_0_56,hypothesis,
sdtsldt0(sdtasdt0(xn,xn),xp) = esk7_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47])]) ).
fof(c_0_57,plain,
! [X141,X142] :
( ~ aNaturalNumber0(X141)
| ~ aNaturalNumber0(X142)
| ~ sdtlseqdt0(X141,X142)
| ~ sdtlseqdt0(X142,X141)
| X141 = X142 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEAsym])]) ).
cnf(c_0_58,plain,
( X1 = sz00
| sdtlseqdt0(X2,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
fof(c_0_59,plain,
! [X123,X124,X125] :
( ( sdtpldt0(X123,X124) != sdtpldt0(X123,X125)
| X124 = X125
| ~ aNaturalNumber0(X123)
| ~ aNaturalNumber0(X124)
| ~ aNaturalNumber0(X125) )
& ( sdtpldt0(X124,X123) != sdtpldt0(X125,X123)
| X124 = X125
| ~ aNaturalNumber0(X123)
| ~ aNaturalNumber0(X124)
| ~ aNaturalNumber0(X125) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddCanc])])]) ).
cnf(c_0_60,negated_conjecture,
( xm = xn
| ~ sdtlseqdt0(xm,xn) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_61,hypothesis,
( sdtlseqdt0(xm,xn)
| sdtlseqdt0(xn,xm) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_62,hypothesis,
( aNaturalNumber0(esk9_0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(xn,X1) != xm ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_63,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_64,plain,
aNaturalNumber0(sz00),
inference(split_conjunct,[status(thm)],[mSortsC]) ).
cnf(c_0_65,hypothesis,
( sdtpldt0(sdtasdt0(xn,xn),esk9_0) = sdtasdt0(xm,xm)
| ~ aNaturalNumber0(X1)
| sdtpldt0(xn,X1) != xm ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_66,hypothesis,
sdtasdt0(xm,xm) = esk7_0,
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_54]),c_0_55])]),c_0_56]) ).
cnf(c_0_67,plain,
( X1 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_68,hypothesis,
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
| ~ sdtlseqdt0(xn,xm) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_69,hypothesis,
aNaturalNumber0(sdtasdt0(xn,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_46]),c_0_47]),c_0_36])]) ).
cnf(c_0_70,hypothesis,
( X1 = sz00
| sdtlseqdt0(esk7_0,sdtasdt0(esk7_0,X1))
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_58,c_0_47]) ).
fof(c_0_71,plain,
! [X113,X114] :
( ~ aNaturalNumber0(X113)
| ~ aNaturalNumber0(X114)
| sdtasdt0(X113,X114) = sdtasdt0(X114,X113) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])]) ).
cnf(c_0_72,plain,
( X2 = X3
| sdtpldt0(X1,X2) != sdtpldt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_73,hypothesis,
( sdtpldt0(sdtasdt0(xn,xn),esk9_0) = sdtasdt0(xm,xm)
| ~ sdtlseqdt0(xn,xm) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_74,hypothesis,
( aNaturalNumber0(esk9_0)
| ~ sdtlseqdt0(xn,xm) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_75,negated_conjecture,
( xm = xn
| sdtlseqdt0(xn,xm) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_76,hypothesis,
( aNaturalNumber0(esk9_0)
| xm != xn ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]),c_0_51])]) ).
cnf(c_0_77,hypothesis,
( sdtpldt0(sdtasdt0(xn,xn),esk9_0) = esk7_0
| sdtpldt0(xn,X1) != xm
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_78,hypothesis,
( sdtasdt0(xm,xm) = sdtasdt0(xn,xn)
| ~ sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))
| ~ sdtlseqdt0(xn,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_69]),c_0_55])]) ).
cnf(c_0_79,hypothesis,
sdtlseqdt0(esk7_0,sdtasdt0(esk7_0,xp)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_36]),c_0_38]) ).
cnf(c_0_80,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_81,plain,
( X1 = sz00
| sdtpldt0(X2,X1) != X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_63]),c_0_64])]) ).
cnf(c_0_82,hypothesis,
( sdtpldt0(sdtasdt0(xn,xn),esk9_0) = esk7_0
| ~ sdtlseqdt0(xn,xm) ),
inference(rw,[status(thm)],[c_0_73,c_0_66]) ).
cnf(c_0_83,hypothesis,
aNaturalNumber0(esk9_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]) ).
cnf(c_0_84,hypothesis,
( sdtpldt0(sdtasdt0(xn,xn),esk9_0) = esk7_0
| xm != xn ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_63]),c_0_64]),c_0_51])]) ).
cnf(c_0_85,hypothesis,
( sdtasdt0(xn,xn) = esk7_0
| ~ sdtlseqdt0(esk7_0,sdtasdt0(xn,xn))
| ~ sdtlseqdt0(xn,xm) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_66]),c_0_66]) ).
cnf(c_0_86,hypothesis,
sdtlseqdt0(esk7_0,sdtasdt0(xn,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_46]),c_0_36]),c_0_47])]) ).
cnf(c_0_87,hypothesis,
( esk9_0 = sz00
| sdtasdt0(xn,xn) != esk7_0
| ~ sdtlseqdt0(xn,xm) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83]),c_0_69])]) ).
cnf(c_0_88,hypothesis,
( esk9_0 = sz00
| sdtasdt0(xn,xn) != esk7_0
| xm != xn ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_84]),c_0_83]),c_0_69])]) ).
cnf(c_0_89,hypothesis,
( sdtasdt0(xn,xn) = esk7_0
| ~ sdtlseqdt0(xn,xm) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_86])]) ).
fof(c_0_90,plain,
! [X133,X134,X136] :
( ( aNaturalNumber0(esk1_2(X133,X134))
| ~ sdtlseqdt0(X133,X134)
| ~ aNaturalNumber0(X133)
| ~ aNaturalNumber0(X134) )
& ( sdtpldt0(X133,esk1_2(X133,X134)) = X134
| ~ sdtlseqdt0(X133,X134)
| ~ aNaturalNumber0(X133)
| ~ aNaturalNumber0(X134) )
& ( ~ aNaturalNumber0(X136)
| sdtpldt0(X133,X136) != X134
| sdtlseqdt0(X133,X134)
| ~ aNaturalNumber0(X133)
| ~ aNaturalNumber0(X134) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefLE])])])])]) ).
fof(c_0_91,plain,
! [X103,X104] :
( ~ aNaturalNumber0(X103)
| ~ aNaturalNumber0(X104)
| aNaturalNumber0(sdtpldt0(X103,X104)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB])]) ).
cnf(c_0_92,negated_conjecture,
( esk9_0 = sz00
| sdtasdt0(xn,xn) != esk7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_75]),c_0_88]) ).
cnf(c_0_93,negated_conjecture,
( sdtasdt0(xn,xn) = esk7_0
| xm = xn ),
inference(spm,[status(thm)],[c_0_89,c_0_75]) ).
cnf(c_0_94,hypothesis,
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
| ~ aNaturalNumber0(X1)
| sdtpldt0(xn,X1) != xm ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_95,plain,
( sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,X1) != X3
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_96,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_97,negated_conjecture,
( xm = xn
| esk9_0 = sz00 ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_98,hypothesis,
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
| xm != xn ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_63]),c_0_64]),c_0_51])]) ).
fof(c_0_99,plain,
! [X185,X186,X187] :
( ~ aNaturalNumber0(X185)
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ isPrime0(X187)
| ~ doDivides0(X187,sdtasdt0(X185,X186))
| doDivides0(X187,X185)
| doDivides0(X187,X186) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mPDP])]) ).
cnf(c_0_100,plain,
( sdtlseqdt0(X1,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_95]),c_0_96]) ).
cnf(c_0_101,hypothesis,
( sdtpldt0(sdtasdt0(xn,xn),sz00) = esk7_0
| xm = xn ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_97]),c_0_75]) ).
cnf(c_0_102,hypothesis,
( sdtlseqdt0(sdtasdt0(xn,xn),esk7_0)
| xm != xn ),
inference(rw,[status(thm)],[c_0_98,c_0_66]) ).
cnf(c_0_103,plain,
( doDivides0(X3,X1)
| doDivides0(X3,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X3)
| ~ doDivides0(X3,sdtasdt0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
fof(c_0_104,hypothesis,
! [X193,X194] :
( xp != sz10
& ( ~ aNaturalNumber0(X194)
| xp != sdtasdt0(X193,X194)
| ~ aNaturalNumber0(X193)
| X193 = sz10
| X193 = xp )
& ( ~ doDivides0(X193,xp)
| ~ aNaturalNumber0(X193)
| X193 = sz10
| X193 = xp )
& isPrime0(xp) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3025])])])]) ).
cnf(c_0_105,hypothesis,
sdtlseqdt0(sdtasdt0(xn,xn),esk7_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_69]),c_0_64])]),c_0_102]) ).
cnf(c_0_106,hypothesis,
( doDivides0(X1,xm)
| ~ isPrime0(X1)
| ~ doDivides0(X1,esk7_0)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_66]),c_0_42])]) ).
cnf(c_0_107,hypothesis,
isPrime0(xp),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_108,hypothesis,
doDivides0(xp,sdtasdt0(xn,xn)),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_109,hypothesis,
sdtasdt0(xn,xn) = esk7_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_105]),c_0_86]),c_0_69]),c_0_47])]) ).
fof(c_0_110,plain,
! [X166,X167,X168] :
( ~ aNaturalNumber0(X166)
| ~ aNaturalNumber0(X167)
| ~ aNaturalNumber0(X168)
| ~ doDivides0(X166,X167)
| ~ doDivides0(X167,X168)
| doDivides0(X166,X168) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivTrans])]) ).
cnf(c_0_111,hypothesis,
( doDivides0(xp,xm)
| ~ doDivides0(xp,esk7_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_36])]) ).
cnf(c_0_112,hypothesis,
doDivides0(xp,esk7_0),
inference(rw,[status(thm)],[c_0_108,c_0_109]) ).
fof(c_0_113,plain,
! [X183] :
( ( aNaturalNumber0(esk4_1(X183))
| ~ aNaturalNumber0(X183)
| X183 = sz00
| X183 = sz10 )
& ( doDivides0(esk4_1(X183),X183)
| ~ aNaturalNumber0(X183)
| X183 = sz00
| X183 = sz10 )
& ( isPrime0(esk4_1(X183))
| ~ aNaturalNumber0(X183)
| X183 = sz00
| X183 = sz10 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mPrimDiv])])])]) ).
cnf(c_0_114,plain,
( doDivides0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_110]) ).
cnf(c_0_115,hypothesis,
doDivides0(xm,esk7_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_66]),c_0_42])]) ).
cnf(c_0_116,hypothesis,
doDivides0(xp,xm),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_112])]) ).
cnf(c_0_117,plain,
( doDivides0(esk4_1(X1),X1)
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_118,hypothesis,
xp != sz10,
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_119,plain,
( aNaturalNumber0(esk4_1(X1))
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_120,hypothesis,
( doDivides0(X1,esk7_0)
| ~ doDivides0(X1,xm)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_47]),c_0_42])]) ).
cnf(c_0_121,hypothesis,
( doDivides0(X1,xm)
| ~ doDivides0(X1,xp)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_116]),c_0_42]),c_0_36])]) ).
cnf(c_0_122,hypothesis,
doDivides0(esk4_1(xp),xp),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_36]),c_0_38]),c_0_118]) ).
cnf(c_0_123,hypothesis,
aNaturalNumber0(esk4_1(xp)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_36]),c_0_38]),c_0_118]) ).
fof(c_0_124,plain,
! [X118] :
( ( sdtasdt0(X118,sz10) = X118
| ~ aNaturalNumber0(X118) )
& ( X118 = sdtasdt0(sz10,X118)
| ~ aNaturalNumber0(X118) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_MulUnit])])]) ).
cnf(c_0_125,hypothesis,
( doDivides0(X1,esk7_0)
| ~ doDivides0(X2,xm)
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_120]),c_0_47])]) ).
cnf(c_0_126,hypothesis,
doDivides0(esk4_1(xp),xm),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_123])]) ).
cnf(c_0_127,plain,
( X1 = sdtasdt0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_128,plain,
aNaturalNumber0(sz10),
inference(split_conjunct,[status(thm)],[mSortsC_01]) ).
cnf(c_0_129,plain,
( X1 = sdtasdt0(X2,X3)
| X2 = sz00
| X3 != sdtsldt0(X1,X2)
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_130,hypothesis,
( doDivides0(X1,esk7_0)
| ~ doDivides0(X1,esk4_1(xp))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_123])]) ).
cnf(c_0_131,plain,
( doDivides0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_127]),c_0_128])]) ).
cnf(c_0_132,plain,
( aNaturalNumber0(X1)
| X3 = sz00
| X1 != sdtsldt0(X2,X3)
| ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_133,plain,
( sdtasdt0(X1,sdtsldt0(X2,X1)) = X2
| X1 = sz00
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(er,[status(thm)],[c_0_129]) ).
cnf(c_0_134,hypothesis,
doDivides0(sz10,esk7_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_128]),c_0_123])]) ).
cnf(c_0_135,plain,
sz10 != sz00,
inference(split_conjunct,[status(thm)],[mSortsC_01]) ).
cnf(c_0_136,plain,
( X1 = sz00
| aNaturalNumber0(sdtsldt0(X2,X1))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(er,[status(thm)],[c_0_132]) ).
fof(c_0_137,plain,
! [X126,X127,X128] :
( ( sdtasdt0(X126,X127) != sdtasdt0(X126,X128)
| X127 = X128
| ~ aNaturalNumber0(X127)
| ~ aNaturalNumber0(X128)
| X126 = sz00
| ~ aNaturalNumber0(X126) )
& ( sdtasdt0(X127,X126) != sdtasdt0(X128,X126)
| X127 = X128
| ~ aNaturalNumber0(X127)
| ~ aNaturalNumber0(X128)
| X126 = sz00
| ~ aNaturalNumber0(X126) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulCanc])])])]) ).
cnf(c_0_138,hypothesis,
sdtasdt0(sz10,sdtsldt0(esk7_0,sz10)) = esk7_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_128]),c_0_47])]),c_0_135]) ).
cnf(c_0_139,hypothesis,
aNaturalNumber0(sdtsldt0(esk7_0,sz10)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_134]),c_0_128]),c_0_47])]),c_0_135]) ).
fof(c_0_140,plain,
! [X131,X132] :
( ~ aNaturalNumber0(X131)
| ~ aNaturalNumber0(X132)
| sdtasdt0(X131,X132) != sz00
| X131 = sz00
| X132 = sz00 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroMul])]) ).
cnf(c_0_141,plain,
( X1 = X3
| X2 = sz00
| sdtasdt0(X1,X2) != sdtasdt0(X3,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
cnf(c_0_142,hypothesis,
sdtsldt0(esk7_0,sz10) = esk7_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_138]),c_0_139])]) ).
cnf(c_0_143,plain,
( X1 = sz00
| X2 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) != sz00 ),
inference(split_conjunct,[status(thm)],[c_0_140]) ).
cnf(c_0_144,hypothesis,
xm != sz00,
inference(split_conjunct,[status(thm)],[m__2987]) ).
cnf(c_0_145,plain,
( X1 = sz10
| X2 = sz00
| sdtasdt0(X1,X2) != sdtasdt0(sz10,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_141,c_0_128]) ).
cnf(c_0_146,hypothesis,
sdtasdt0(xp,esk7_0) = esk7_0,
inference(rw,[status(thm)],[c_0_46,c_0_109]) ).
cnf(c_0_147,hypothesis,
sdtasdt0(sz10,esk7_0) = esk7_0,
inference(rw,[status(thm)],[c_0_138,c_0_142]) ).
cnf(c_0_148,hypothesis,
esk7_0 != sz00,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_66]),c_0_42])]),c_0_144]) ).
cnf(c_0_149,hypothesis,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_147]),c_0_47]),c_0_36])]),c_0_118]),c_0_148]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM528+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
% 0.14/0.32 % Computer : n002.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 5 00:42:31 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 3.88/3.15 % Version : CSE_E---1.7
% 3.88/3.15 % Problem : theBenchmark.p
% 3.88/3.15 % SZS status Theorem for theBenchmark.p
% 3.88/3.15 % SZS output start CNFRefutation
% See solution above
% 3.88/3.16 % Total time : 2.369s
%------------------------------------------------------------------------------