%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM483+1 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n018.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 146.57s 102.61s
% Output : CNFRefutation 147.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 28
% Syntax : Number of formulae : 202 ( 45 unt; 0 def)
% Number of atoms : 770 ( 260 equ)
% Maximal formula atoms : 32 ( 3 avg)
% Number of connectives : 960 ( 392 ~; 459 |; 70 &)
% ( 5 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-2 aty)
% Number of variables : 254 ( 1 sgn 93 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
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/benchmark/theBenchmark.p',mDefQuot) ).
fof(mDefDiv,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( doDivides0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& X2 = sdtasdt0(X1,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiv) ).
fof(m_MulUnit,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( sdtasdt0(X1,sz10) = X1
& X1 = sdtasdt0(sz10,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulUnit) ).
fof(m__1716,hypothesis,
aNaturalNumber0(xk),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1716) ).
fof(mSortsC_01,axiom,
( aNaturalNumber0(sz10)
& sz10 != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
fof(m_MulZero,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( sdtasdt0(X1,sz00) = sz00
& sz00 = sdtasdt0(sz00,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulZero) ).
fof(m_AddZero,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_AddZero) ).
fof(mDivMin,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( doDivides0(X1,X2)
& doDivides0(X1,sdtpldt0(X2,X3)) )
=> doDivides0(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivMin) ).
fof(m__1716_04,hypothesis,
( xk != sz00
& xk != sz10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1716_04) ).
fof(mSortsC,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(mSortsB_02,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(mDefPrime,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( isPrime0(X1)
<=> ( X1 != sz00
& X1 != sz10
& ! [X2] :
( ( aNaturalNumber0(X2)
& doDivides0(X2,X1) )
=> ( X2 = sz10
| X2 = X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefPrime) ).
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/benchmark/theBenchmark.p',mDivTrans) ).
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/benchmark/theBenchmark.p',mDefDiff) ).
fof(mDefLE,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& sdtpldt0(X1,X3) = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefLE) ).
fof(m__,conjecture,
? [X1] :
( aNaturalNumber0(X1)
& doDivides0(X1,xk)
& isPrime0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(mAddComm,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
fof(m__1725,hypothesis,
~ isPrime0(xk),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1725) ).
fof(mSortsB,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(mAddAsso,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddAsso) ).
fof(mDivLE,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( doDivides0(X1,X2)
& X2 != sz00 )
=> sdtlseqdt0(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivLE) ).
fof(mLENTr,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( X1 = sz00
| X1 = sz10
| ( sz10 != X1
& sdtlseqdt0(sz10,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLENTr) ).
fof(mIH_03,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( X1 != X2
& sdtlseqdt0(X1,X2) )
=> iLess0(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIH_03) ).
fof(mLEAsym,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEAsym) ).
fof(mMonMul2,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( X1 != sz00
=> sdtlseqdt0(X2,sdtasdt0(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonMul2) ).
fof(mZeroAdd,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtpldt0(X1,X2) = sz00
=> ( X1 = sz00
& X2 = sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroAdd) ).
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/sandbox/benchmark/theBenchmark.p',mAddCanc) ).
fof(m__1700,hypothesis,
! [X1] :
( ( aNaturalNumber0(X1)
& X1 != sz00
& X1 != sz10 )
=> ( iLess0(X1,xk)
=> ? [X2] :
( aNaturalNumber0(X2)
& doDivides0(X2,X1)
& isPrime0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1700) ).
fof(c_0_28,plain,
! [X147,X148,X149] :
( ( aNaturalNumber0(X149)
| X149 != sdtsldt0(X148,X147)
| X147 = sz00
| ~ doDivides0(X147,X148)
| ~ aNaturalNumber0(X147)
| ~ aNaturalNumber0(X148) )
& ( X148 = sdtasdt0(X147,X149)
| X149 != sdtsldt0(X148,X147)
| X147 = sz00
| ~ doDivides0(X147,X148)
| ~ aNaturalNumber0(X147)
| ~ aNaturalNumber0(X148) )
& ( ~ aNaturalNumber0(X149)
| X148 != sdtasdt0(X147,X149)
| X149 = sdtsldt0(X148,X147)
| X147 = sz00
| ~ doDivides0(X147,X148)
| ~ aNaturalNumber0(X147)
| ~ aNaturalNumber0(X148) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefQuot])])])]) ).
fof(c_0_29,plain,
! [X143,X144,X146] :
( ( aNaturalNumber0(esk2_2(X143,X144))
| ~ doDivides0(X143,X144)
| ~ aNaturalNumber0(X143)
| ~ aNaturalNumber0(X144) )
& ( X144 = sdtasdt0(X143,esk2_2(X143,X144))
| ~ doDivides0(X143,X144)
| ~ aNaturalNumber0(X143)
| ~ aNaturalNumber0(X144) )
& ( ~ aNaturalNumber0(X146)
| X144 != sdtasdt0(X143,X146)
| doDivides0(X143,X144)
| ~ aNaturalNumber0(X143)
| ~ aNaturalNumber0(X144) ) ),
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_30,plain,
! [X102] :
( ( sdtasdt0(X102,sz10) = X102
| ~ aNaturalNumber0(X102) )
& ( X102 = sdtasdt0(sz10,X102)
| ~ aNaturalNumber0(X102) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_MulUnit])])]) ).
cnf(c_0_31,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_28]) ).
cnf(c_0_32,plain,
( doDivides0(X3,X2)
| ~ aNaturalNumber0(X1)
| X2 != sdtasdt0(X3,X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_33,plain,
( X1 = sdtasdt0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_34,hypothesis,
aNaturalNumber0(xk),
inference(split_conjunct,[status(thm)],[m__1716]) ).
cnf(c_0_35,plain,
( X1 = sdtsldt0(X2,X3)
| X3 = sz00
| X2 != sdtasdt0(X3,X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_36,hypothesis,
sdtasdt0(sz10,xk) = xk,
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_37,plain,
aNaturalNumber0(sz10),
inference(split_conjunct,[status(thm)],[mSortsC_01]) ).
cnf(c_0_38,plain,
sz10 != sz00,
inference(split_conjunct,[status(thm)],[mSortsC_01]) ).
cnf(c_0_39,hypothesis,
( sdtsldt0(X1,sz10) = xk
| X1 != xk
| ~ aNaturalNumber0(X1) ),
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_37]),c_0_34])]),c_0_38]) ).
cnf(c_0_40,plain,
( aNaturalNumber0(X1)
| X3 = sz00
| X1 != sdtsldt0(X2,X3)
| ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_41,hypothesis,
sdtsldt0(xk,sz10) = xk,
inference(spm,[status(thm)],[c_0_39,c_0_34]) ).
fof(c_0_42,plain,
! [X103] :
( ( sdtasdt0(X103,sz00) = sz00
| ~ aNaturalNumber0(X103) )
& ( sz00 = sdtasdt0(sz00,X103)
| ~ aNaturalNumber0(X103) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_MulZero])])]) ).
fof(c_0_43,plain,
! [X96] :
( ( sdtpldt0(X96,sz00) = X96
| ~ aNaturalNumber0(X96) )
& ( X96 = sdtpldt0(sz00,X96)
| ~ aNaturalNumber0(X96) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_AddZero])])]) ).
cnf(c_0_44,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_45,hypothesis,
( aNaturalNumber0(X1)
| X1 != xk
| ~ doDivides0(sz10,xk) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_37]),c_0_34])]),c_0_38]) ).
cnf(c_0_46,hypothesis,
( doDivides0(sz10,X1)
| X1 != xk
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_36]),c_0_37]),c_0_34])]) ).
cnf(c_0_47,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
fof(c_0_48,plain,
! [X156,X157,X158] :
( ~ aNaturalNumber0(X156)
| ~ aNaturalNumber0(X157)
| ~ aNaturalNumber0(X158)
| ~ doDivides0(X156,X157)
| ~ doDivides0(X156,sdtpldt0(X157,X158))
| doDivides0(X156,X158) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivMin])]) ).
cnf(c_0_49,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_50,hypothesis,
sdtasdt0(xk,sz10) = xk,
inference(spm,[status(thm)],[c_0_44,c_0_34]) ).
cnf(c_0_51,hypothesis,
xk != sz00,
inference(split_conjunct,[status(thm)],[m__1716_04]) ).
cnf(c_0_52,hypothesis,
( aNaturalNumber0(X1)
| X1 != xk ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_34])]) ).
cnf(c_0_53,hypothesis,
sdtasdt0(xk,sz00) = sz00,
inference(spm,[status(thm)],[c_0_47,c_0_34]) ).
cnf(c_0_54,plain,
aNaturalNumber0(sz00),
inference(split_conjunct,[status(thm)],[mSortsC]) ).
cnf(c_0_55,plain,
( doDivides0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X1,sdtpldt0(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_56,hypothesis,
sdtpldt0(xk,sz00) = xk,
inference(spm,[status(thm)],[c_0_49,c_0_34]) ).
cnf(c_0_57,hypothesis,
( sdtsldt0(X1,xk) = sz10
| X1 != xk ),
inference(csr,[status(thm)],[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_50]),c_0_34]),c_0_37])]),c_0_51]),c_0_52]) ).
cnf(c_0_58,hypothesis,
( doDivides0(xk,X1)
| X1 != xk ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_50]),c_0_34]),c_0_37])]),c_0_52]) ).
cnf(c_0_59,hypothesis,
( sdtsldt0(X1,xk) = sz00
| X1 != sz00
| ~ aNaturalNumber0(X1) ),
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_53]),c_0_34]),c_0_54])]),c_0_51]) ).
cnf(c_0_60,hypothesis,
( doDivides0(X1,sz00)
| ~ doDivides0(X1,xk)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_54]),c_0_34])]) ).
fof(c_0_61,plain,
! [X89,X90] :
( ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90)
| aNaturalNumber0(sdtasdt0(X89,X90)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])]) ).
cnf(c_0_62,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_28]) ).
cnf(c_0_63,plain,
sdtasdt0(sz10,sz10) = sz10,
inference(spm,[status(thm)],[c_0_33,c_0_37]) ).
cnf(c_0_64,hypothesis,
( aNaturalNumber0(X1)
| X1 != sz10
| X2 != xk ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_57]),c_0_34])]),c_0_51]),c_0_52]),c_0_58]) ).
fof(c_0_65,plain,
! [X164,X165] :
( ( X164 != sz00
| ~ isPrime0(X164)
| ~ aNaturalNumber0(X164) )
& ( X164 != sz10
| ~ isPrime0(X164)
| ~ aNaturalNumber0(X164) )
& ( ~ aNaturalNumber0(X165)
| ~ doDivides0(X165,X164)
| X165 = sz10
| X165 = X164
| ~ isPrime0(X164)
| ~ aNaturalNumber0(X164) )
& ( aNaturalNumber0(esk3_1(X164))
| X164 = sz00
| X164 = sz10
| isPrime0(X164)
| ~ aNaturalNumber0(X164) )
& ( doDivides0(esk3_1(X164),X164)
| X164 = sz00
| X164 = sz10
| isPrime0(X164)
| ~ aNaturalNumber0(X164) )
& ( esk3_1(X164) != sz10
| X164 = sz00
| X164 = sz10
| isPrime0(X164)
| ~ aNaturalNumber0(X164) )
& ( esk3_1(X164) != X164
| X164 = sz00
| X164 = sz10
| isPrime0(X164)
| ~ aNaturalNumber0(X164) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefPrime])])])])]) ).
fof(c_0_66,plain,
! [X150,X151,X152] :
( ~ aNaturalNumber0(X150)
| ~ aNaturalNumber0(X151)
| ~ aNaturalNumber0(X152)
| ~ doDivides0(X150,X151)
| ~ doDivides0(X151,X152)
| doDivides0(X150,X152) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivTrans])]) ).
cnf(c_0_67,hypothesis,
sdtsldt0(sz00,xk) = sz00,
inference(spm,[status(thm)],[c_0_59,c_0_54]) ).
cnf(c_0_68,hypothesis,
doDivides0(xk,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_58]),c_0_34])]) ).
cnf(c_0_69,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_70,plain,
( sdtasdt0(X1,sdtsldt0(X2,X1)) = X2
| X1 = sz00
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(er,[status(thm)],[c_0_62]) ).
cnf(c_0_71,plain,
( doDivides0(sz10,X1)
| X1 != sz10
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_63]),c_0_37])]) ).
cnf(c_0_72,hypothesis,
( aNaturalNumber0(X1)
| X1 != sz10 ),
inference(er,[status(thm)],[c_0_64]) ).
cnf(c_0_73,plain,
( aNaturalNumber0(esk3_1(X1))
| X1 = sz00
| X1 = sz10
| isPrime0(X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_74,plain,
( doDivides0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_75,hypothesis,
( doDivides0(xk,X1)
| X1 != sz00
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_53]),c_0_34]),c_0_54])]) ).
cnf(c_0_76,hypothesis,
( aNaturalNumber0(X1)
| X1 != sz00 ),
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_40,c_0_67]),c_0_68]),c_0_34]),c_0_54])]),c_0_51]) ).
cnf(c_0_77,plain,
( doDivides0(X1,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_32]),c_0_69]) ).
cnf(c_0_78,plain,
( sdtasdt0(sz10,sdtsldt0(X1,sz10)) = X1
| X1 != sz10 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_37])]),c_0_38]),c_0_72]) ).
fof(c_0_79,plain,
! [X121,X122,X123] :
( ( aNaturalNumber0(X123)
| X123 != sdtmndt0(X122,X121)
| ~ sdtlseqdt0(X121,X122)
| ~ aNaturalNumber0(X121)
| ~ aNaturalNumber0(X122) )
& ( sdtpldt0(X121,X123) = X122
| X123 != sdtmndt0(X122,X121)
| ~ sdtlseqdt0(X121,X122)
| ~ aNaturalNumber0(X121)
| ~ aNaturalNumber0(X122) )
& ( ~ aNaturalNumber0(X123)
| sdtpldt0(X121,X123) != X122
| X123 = sdtmndt0(X122,X121)
| ~ sdtlseqdt0(X121,X122)
| ~ aNaturalNumber0(X121)
| ~ aNaturalNumber0(X122) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefDiff])])])]) ).
fof(c_0_80,plain,
! [X117,X118,X120] :
( ( aNaturalNumber0(esk1_2(X117,X118))
| ~ sdtlseqdt0(X117,X118)
| ~ aNaturalNumber0(X117)
| ~ aNaturalNumber0(X118) )
& ( sdtpldt0(X117,esk1_2(X117,X118)) = X118
| ~ sdtlseqdt0(X117,X118)
| ~ aNaturalNumber0(X117)
| ~ aNaturalNumber0(X118) )
& ( ~ aNaturalNumber0(X120)
| sdtpldt0(X117,X120) != X118
| sdtlseqdt0(X117,X118)
| ~ aNaturalNumber0(X117)
| ~ aNaturalNumber0(X118) ) ),
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_81,negated_conjecture,
~ ? [X1] :
( aNaturalNumber0(X1)
& doDivides0(X1,xk)
& isPrime0(X1) ),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_82,plain,
( doDivides0(esk3_1(X1),X1)
| X1 = sz00
| X1 = sz10
| isPrime0(X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_83,plain,
( sdtasdt0(sz10,esk3_1(X1)) = esk3_1(X1)
| X1 = sz10
| X1 = sz00
| isPrime0(X1)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_73]) ).
cnf(c_0_84,hypothesis,
( doDivides0(X1,X2)
| X2 != sz00
| ~ doDivides0(X1,xk)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_34])]),c_0_76]) ).
cnf(c_0_85,plain,
( doDivides0(sz10,X1)
| X1 != sz10
| ~ aNaturalNumber0(sdtsldt0(X1,sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_37])]) ).
cnf(c_0_86,plain,
( sdtsldt0(X1,sz10) = sz10
| X1 != sz10 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_63]),c_0_37])]),c_0_38]),c_0_72]) ).
cnf(c_0_87,plain,
( X1 = sdtmndt0(X3,X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,X1) != X3
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_88,plain,
( sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,X1) != X3
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_89,plain,
( X1 = sdtpldt0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_90,plain,
( aNaturalNumber0(esk2_2(X1,X2))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_91,negated_conjecture,
! [X169] :
( ~ aNaturalNumber0(X169)
| ~ doDivides0(X169,xk)
| ~ isPrime0(X169) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_81])]) ).
cnf(c_0_92,plain,
( X1 = sz10
| X1 = sz00
| isPrime0(X1)
| doDivides0(X2,X1)
| ~ doDivides0(X2,esk3_1(X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_82]),c_0_73]) ).
cnf(c_0_93,plain,
( X1 = sz00
| X1 = sz10
| isPrime0(X1)
| doDivides0(sz10,esk3_1(X1))
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_83]),c_0_37])]),c_0_73]) ).
cnf(c_0_94,hypothesis,
( doDivides0(sz10,X1)
| X1 != sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_46]),c_0_37]),c_0_34])]) ).
cnf(c_0_95,plain,
( doDivides0(sz10,X1)
| X1 != sz10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_37])]) ).
fof(c_0_96,plain,
! [X91,X92] :
( ~ aNaturalNumber0(X91)
| ~ aNaturalNumber0(X92)
| sdtpldt0(X91,X92) = sdtpldt0(X92,X91) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddComm])]) ).
cnf(c_0_97,plain,
( X1 = sdtmndt0(X2,X3)
| sdtpldt0(X3,X1) != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_98,plain,
( sdtpldt0(sz00,esk2_2(X1,X2)) = esk2_2(X1,X2)
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_99,plain,
( X1 = sdtasdt0(X2,esk2_2(X2,X1))
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_100,plain,
( sdtasdt0(sz10,esk2_2(X1,X2)) = esk2_2(X1,X2)
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_90]) ).
cnf(c_0_101,negated_conjecture,
( ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,xk)
| ~ isPrime0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_102,plain,
( isPrime0(X1)
| doDivides0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_37])]),c_0_94]),c_0_95]) ).
fof(c_0_103,hypothesis,
~ isPrime0(xk),
inference(fof_simplification,[status(thm)],[m__1725]) ).
cnf(c_0_104,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_105,plain,
( esk2_2(X1,X2) = sdtmndt0(X3,sz00)
| esk2_2(X1,X2) != X3
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_54])]),c_0_90]) ).
cnf(c_0_106,plain,
( esk2_2(sz10,X1) = X1
| ~ doDivides0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_37])]) ).
cnf(c_0_107,negated_conjecture,
( doDivides0(sz10,X1)
| ~ doDivides0(X1,xk)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_108,hypothesis,
xk != sz10,
inference(split_conjunct,[status(thm)],[m__1716_04]) ).
cnf(c_0_109,hypothesis,
~ isPrime0(xk),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_110,plain,
( sdtlseqdt0(sz00,X1)
| esk2_2(X2,X3) != X1
| ~ doDivides0(X2,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_98]),c_0_54])]),c_0_90]) ).
fof(c_0_111,plain,
! [X87,X88] :
( ~ aNaturalNumber0(X87)
| ~ aNaturalNumber0(X88)
| aNaturalNumber0(sdtpldt0(X87,X88)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB])]) ).
cnf(c_0_112,hypothesis,
( sdtpldt0(X1,xk) = sdtpldt0(xk,X1)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_104,c_0_34]) ).
fof(c_0_113,plain,
! [X93,X94,X95] :
( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X94)
| ~ aNaturalNumber0(X95)
| sdtpldt0(sdtpldt0(X93,X94),X95) = sdtpldt0(X93,sdtpldt0(X94,X95)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddAsso])]) ).
cnf(c_0_114,plain,
( sdtpldt0(X1,X2) = X3
| X2 != sdtmndt0(X3,X1)
| ~ sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_115,plain,
( sdtmndt0(X1,sz00) = X1
| ~ doDivides0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_37])])]) ).
cnf(c_0_116,negated_conjecture,
( doDivides0(sz10,esk3_1(xk))
| ~ aNaturalNumber0(esk3_1(xk)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_82]),c_0_34])]),c_0_51]),c_0_108]),c_0_109]) ).
cnf(c_0_117,plain,
( sdtlseqdt0(sz00,X1)
| ~ doDivides0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_106]),c_0_37])])]) ).
cnf(c_0_118,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
fof(c_0_119,plain,
! [X159,X160] :
( ~ aNaturalNumber0(X159)
| ~ aNaturalNumber0(X160)
| ~ doDivides0(X159,X160)
| X160 = sz00
| sdtlseqdt0(X159,X160) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivLE])]) ).
cnf(c_0_120,hypothesis,
sdtpldt0(xk,sz10) = sdtpldt0(sz10,xk),
inference(spm,[status(thm)],[c_0_112,c_0_37]) ).
fof(c_0_121,plain,
! [X138] :
( ( sz10 != X138
| X138 = sz00
| X138 = sz10
| ~ aNaturalNumber0(X138) )
& ( sdtlseqdt0(sz10,X138)
| X138 = sz00
| X138 = sz10
| ~ aNaturalNumber0(X138) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLENTr])])]) ).
cnf(c_0_122,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_123,plain,
( sdtpldt0(X1,sdtmndt0(X2,X1)) = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[c_0_114]) ).
cnf(c_0_124,negated_conjecture,
( sdtmndt0(esk3_1(xk),sz00) = esk3_1(xk)
| ~ aNaturalNumber0(esk3_1(xk)) ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_125,negated_conjecture,
( sdtlseqdt0(sz00,esk3_1(xk))
| ~ aNaturalNumber0(esk3_1(xk)) ),
inference(spm,[status(thm)],[c_0_117,c_0_116]) ).
fof(c_0_126,plain,
! [X141,X142] :
( ~ aNaturalNumber0(X141)
| ~ aNaturalNumber0(X142)
| X141 = X142
| ~ sdtlseqdt0(X141,X142)
| iLess0(X141,X142) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIH_03])]) ).
cnf(c_0_127,plain,
( esk2_2(X1,X2) = sdtsldt0(X2,X1)
| X1 = sz00
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_99])]),c_0_90]) ).
cnf(c_0_128,plain,
( sdtpldt0(X1,X2) = sz10
| sdtpldt0(X1,X2) = sz00
| isPrime0(sdtpldt0(X1,X2))
| doDivides0(esk3_1(sdtpldt0(X1,X2)),X2)
| ~ doDivides0(esk3_1(sdtpldt0(X1,X2)),X1)
| ~ aNaturalNumber0(esk3_1(sdtpldt0(X1,X2)))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_82]),c_0_118]) ).
cnf(c_0_129,hypothesis,
sdtpldt0(sz00,xk) = xk,
inference(spm,[status(thm)],[c_0_89,c_0_34]) ).
cnf(c_0_130,hypothesis,
( doDivides0(esk3_1(xk),sz00)
| ~ aNaturalNumber0(esk3_1(xk)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_82]),c_0_34])]),c_0_51]),c_0_108]),c_0_109]) ).
fof(c_0_131,plain,
! [X125,X126] :
( ~ aNaturalNumber0(X125)
| ~ aNaturalNumber0(X126)
| ~ sdtlseqdt0(X125,X126)
| ~ sdtlseqdt0(X126,X125)
| X125 = X126 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEAsym])]) ).
cnf(c_0_132,plain,
( X2 = sz00
| sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_133,hypothesis,
aNaturalNumber0(sdtpldt0(sz10,xk)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_120]),c_0_37]),c_0_34])]) ).
fof(c_0_134,plain,
! [X139,X140] :
( ~ aNaturalNumber0(X139)
| ~ aNaturalNumber0(X140)
| X139 = sz00
| sdtlseqdt0(X140,sdtasdt0(X140,X139)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMonMul2])]) ).
fof(c_0_135,plain,
! [X113,X114] :
( ( X113 = sz00
| sdtpldt0(X113,X114) != sz00
| ~ aNaturalNumber0(X113)
| ~ aNaturalNumber0(X114) )
& ( X114 = sz00
| sdtpldt0(X113,X114) != sz00
| ~ aNaturalNumber0(X113)
| ~ aNaturalNumber0(X114) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroAdd])])]) ).
cnf(c_0_136,plain,
( sdtlseqdt0(sz10,X1)
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_137,plain,
( sdtpldt0(sdtpldt0(X1,X2),esk3_1(X3)) = sdtpldt0(X1,sdtpldt0(X2,esk3_1(X3)))
| X3 = sz10
| X3 = sz00
| isPrime0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
inference(spm,[status(thm)],[c_0_122,c_0_73]) ).
cnf(c_0_138,plain,
( sdtpldt0(X1,sdtmndt0(esk3_1(X2),X1)) = esk3_1(X2)
| X2 = sz10
| X2 = sz00
| isPrime0(X2)
| ~ sdtlseqdt0(X1,esk3_1(X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(spm,[status(thm)],[c_0_123,c_0_73]) ).
cnf(c_0_139,negated_conjecture,
sdtmndt0(esk3_1(xk),sz00) = esk3_1(xk),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_73]),c_0_34])]),c_0_51]),c_0_108]),c_0_109]) ).
cnf(c_0_140,negated_conjecture,
sdtlseqdt0(sz00,esk3_1(xk)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_73]),c_0_34])]),c_0_51]),c_0_108]),c_0_109]) ).
cnf(c_0_141,plain,
( X1 = X2
| iLess0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_142,plain,
( sdtsldt0(X1,sz10) = X1
| ~ doDivides0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_127]),c_0_37])]),c_0_38]) ).
cnf(c_0_143,hypothesis,
( doDivides0(esk3_1(xk),xk)
| ~ aNaturalNumber0(esk3_1(xk)) ),
inference(csr,[status(thm)],[inference(sr,[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_128,c_0_129]),c_0_34]),c_0_54])]),c_0_108]),c_0_51]),c_0_109]),c_0_130]) ).
cnf(c_0_144,plain,
( X1 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_145,plain,
( X1 = sz10
| X1 = sz00
| isPrime0(X1)
| sdtlseqdt0(esk3_1(X1),X1)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_82]),c_0_73]) ).
cnf(c_0_146,plain,
( X1 = sz00
| X1 = sz10
| isPrime0(X1)
| esk3_1(X1) != X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_147,hypothesis,
sdtasdt0(sdtpldt0(sz10,xk),sz10) = sdtpldt0(sz10,xk),
inference(spm,[status(thm)],[c_0_44,c_0_133]) ).
cnf(c_0_148,hypothesis,
sdtasdt0(sdtpldt0(sz10,xk),sz00) = sz00,
inference(spm,[status(thm)],[c_0_47,c_0_133]) ).
cnf(c_0_149,plain,
( X1 = sz00
| sdtlseqdt0(X2,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_134]) ).
cnf(c_0_150,plain,
( X1 = sz00
| sdtpldt0(X1,X2) != sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_135]) ).
cnf(c_0_151,hypothesis,
sdtlseqdt0(sz10,xk),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_34]),c_0_51]),c_0_108]) ).
fof(c_0_152,plain,
! [X107,X108,X109] :
( ( sdtpldt0(X107,X108) != sdtpldt0(X107,X109)
| X108 = X109
| ~ aNaturalNumber0(X107)
| ~ aNaturalNumber0(X108)
| ~ aNaturalNumber0(X109) )
& ( sdtpldt0(X108,X107) != sdtpldt0(X109,X107)
| X108 = X109
| ~ aNaturalNumber0(X107)
| ~ aNaturalNumber0(X108)
| ~ aNaturalNumber0(X109) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddCanc])])]) ).
cnf(c_0_153,plain,
( X1 = sz00
| X1 = sz10
| isPrime0(X1)
| aNaturalNumber0(sdtpldt0(X2,sdtpldt0(X3,esk3_1(X1))))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_137]),c_0_73]),c_0_118]) ).
cnf(c_0_154,negated_conjecture,
sdtpldt0(sz00,esk3_1(xk)) = esk3_1(xk),
inference(sr,[status(thm)],[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_138,c_0_139]),c_0_140]),c_0_54]),c_0_34])]),c_0_108]),c_0_51]),c_0_109]) ).
cnf(c_0_155,hypothesis,
( X1 = xk
| iLess0(X1,xk)
| ~ sdtlseqdt0(X1,xk)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_141,c_0_34]) ).
cnf(c_0_156,plain,
( X1 = sz00
| aNaturalNumber0(sdtsldt0(X2,X1))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(er,[status(thm)],[c_0_40]) ).
cnf(c_0_157,negated_conjecture,
( sdtsldt0(esk3_1(xk),sz10) = esk3_1(xk)
| ~ aNaturalNumber0(esk3_1(xk)) ),
inference(spm,[status(thm)],[c_0_142,c_0_116]) ).
cnf(c_0_158,hypothesis,
( sdtlseqdt0(esk3_1(xk),xk)
| ~ aNaturalNumber0(esk3_1(xk)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_143]),c_0_34])]),c_0_51]) ).
cnf(c_0_159,plain,
( X1 = sz00
| X1 = sz10
| isPrime0(X1)
| ~ sdtlseqdt0(X1,esk3_1(X1))
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_73]),c_0_146]) ).
cnf(c_0_160,hypothesis,
( sdtlseqdt0(xk,X1)
| xk != X1 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_56]),c_0_34]),c_0_54])]),c_0_52]) ).
cnf(c_0_161,hypothesis,
( doDivides0(X1,sz10)
| ~ doDivides0(X1,sdtpldt0(sz10,xk))
| ~ doDivides0(X1,xk)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_120]),c_0_37]),c_0_34])]) ).
cnf(c_0_162,hypothesis,
doDivides0(sdtpldt0(sz10,xk),sdtpldt0(sz10,xk)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_147]),c_0_133]),c_0_37])]) ).
cnf(c_0_163,hypothesis,
( doDivides0(X1,xk)
| ~ doDivides0(X1,esk3_1(xk))
| ~ aNaturalNumber0(esk3_1(xk))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_143]),c_0_34])]) ).
cnf(c_0_164,hypothesis,
( doDivides0(sdtpldt0(sz10,xk),X1)
| X1 != sz00 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_148]),c_0_133]),c_0_54])]),c_0_76]) ).
cnf(c_0_165,plain,
( X1 = sz00
| sdtlseqdt0(sz10,sdtasdt0(sz10,X1))
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_149,c_0_37]) ).
cnf(c_0_166,hypothesis,
sdtasdt0(sz10,sdtpldt0(sz10,xk)) = sdtpldt0(sz10,xk),
inference(spm,[status(thm)],[c_0_33,c_0_133]) ).
cnf(c_0_167,hypothesis,
sdtpldt0(sz10,xk) != sz00,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_120]),c_0_37]),c_0_34])]),c_0_51]) ).
cnf(c_0_168,hypothesis,
( sdtlseqdt0(xk,X1)
| sdtpldt0(sz10,xk) != X1
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_120]),c_0_34]),c_0_37])]) ).
cnf(c_0_169,hypothesis,
~ sdtlseqdt0(xk,sz10),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_151]),c_0_37]),c_0_34])]),c_0_108]) ).
cnf(c_0_170,plain,
( X1 = X3
| sdtpldt0(X1,X2) != sdtpldt0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_152]) ).
cnf(c_0_171,negated_conjecture,
( aNaturalNumber0(sdtpldt0(X1,esk3_1(xk)))
| ~ aNaturalNumber0(X1) ),
inference(sr,[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_153,c_0_154]),c_0_54]),c_0_34])]),c_0_51]),c_0_108]),c_0_109]) ).
cnf(c_0_172,plain,
( sdtpldt0(sz00,esk3_1(X1)) = esk3_1(X1)
| X1 = sz10
| X1 = sz00
| isPrime0(X1)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_89,c_0_73]) ).
cnf(c_0_173,hypothesis,
( sdtsldt0(X1,X2) = xk
| X2 = sz00
| iLess0(sdtsldt0(X1,X2),xk)
| ~ doDivides0(X2,X1)
| ~ sdtlseqdt0(sdtsldt0(X1,X2),xk)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_174,negated_conjecture,
sdtsldt0(esk3_1(xk),sz10) = esk3_1(xk),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_73]),c_0_34])]),c_0_51]),c_0_108]),c_0_109]) ).
cnf(c_0_175,hypothesis,
sdtlseqdt0(esk3_1(xk),xk),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_73]),c_0_34])]),c_0_51]),c_0_108]),c_0_109]) ).
cnf(c_0_176,hypothesis,
esk3_1(xk) != xk,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_34])]),c_0_51]),c_0_108]),c_0_109]) ).
cnf(c_0_177,hypothesis,
( doDivides0(sdtpldt0(sz10,xk),sz10)
| ~ doDivides0(sdtpldt0(sz10,xk),xk) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_133])]) ).
cnf(c_0_178,hypothesis,
( doDivides0(sdtpldt0(sz10,xk),xk)
| esk3_1(xk) != sz00 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_133])]),c_0_76]) ).
cnf(c_0_179,hypothesis,
sdtlseqdt0(sz10,sdtpldt0(sz10,xk)),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_133]),c_0_166]),c_0_167]) ).
cnf(c_0_180,hypothesis,
sdtpldt0(sz10,xk) != sz10,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_37]),c_0_169]) ).
cnf(c_0_181,plain,
( X1 = sz10
| sdtpldt0(X1,X2) != sdtpldt0(sz10,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_170,c_0_37]) ).
cnf(c_0_182,plain,
( sdtpldt0(X1,esk3_1(X2)) = sdtpldt0(esk3_1(X2),X1)
| X2 = sz10
| X2 = sz00
| isPrime0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(spm,[status(thm)],[c_0_104,c_0_73]) ).
cnf(c_0_183,plain,
( X1 = sz00
| X1 = sz10
| isPrime0(X1)
| esk3_1(X1) != sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
fof(c_0_184,hypothesis,
! [X167] :
( ( aNaturalNumber0(esk4_1(X167))
| ~ iLess0(X167,xk)
| ~ aNaturalNumber0(X167)
| X167 = sz00
| X167 = sz10 )
& ( doDivides0(esk4_1(X167),X167)
| ~ iLess0(X167,xk)
| ~ aNaturalNumber0(X167)
| X167 = sz00
| X167 = sz10 )
& ( isPrime0(esk4_1(X167))
| ~ iLess0(X167,xk)
| ~ aNaturalNumber0(X167)
| X167 = sz00
| X167 = sz10 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1700])])])]) ).
cnf(c_0_185,negated_conjecture,
aNaturalNumber0(esk3_1(xk)),
inference(sr,[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_171,c_0_172]),c_0_54]),c_0_34])]),c_0_108]),c_0_51]),c_0_109]) ).
cnf(c_0_186,negated_conjecture,
( iLess0(esk3_1(xk),xk)
| ~ aNaturalNumber0(esk3_1(xk)) ),
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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_116]),c_0_174]),c_0_174]),c_0_174]),c_0_175]),c_0_37])]),c_0_176]),c_0_38]) ).
cnf(c_0_187,hypothesis,
( doDivides0(sdtpldt0(sz10,xk),sz10)
| esk3_1(xk) != sz00 ),
inference(spm,[status(thm)],[c_0_177,c_0_178]) ).
cnf(c_0_188,hypothesis,
~ sdtlseqdt0(sdtpldt0(sz10,xk),sz10),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_179]),c_0_37]),c_0_133])]),c_0_180]) ).
cnf(c_0_189,plain,
( X1 = sz00
| X1 = sz10
| isPrime0(X1)
| sdtpldt0(X2,esk3_1(X1)) != sdtpldt0(sz10,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_73]),c_0_183]) ).
cnf(c_0_190,plain,
sdtpldt0(sz10,sz00) = sz10,
inference(spm,[status(thm)],[c_0_49,c_0_37]) ).
cnf(c_0_191,hypothesis,
( isPrime0(esk4_1(X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(X1,xk)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_184]) ).
cnf(c_0_192,hypothesis,
( aNaturalNumber0(esk4_1(X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(X1,xk)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_184]) ).
cnf(c_0_193,hypothesis,
( doDivides0(X1,xk)
| ~ doDivides0(X1,esk3_1(xk))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_163,c_0_185])]) ).
cnf(c_0_194,hypothesis,
( doDivides0(esk4_1(X1),X1)
| X1 = sz00
| X1 = sz10
| ~ iLess0(X1,xk)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_184]) ).
cnf(c_0_195,negated_conjecture,
iLess0(esk3_1(xk),xk),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_73]),c_0_34])]),c_0_51]),c_0_108]),c_0_109]) ).
cnf(c_0_196,hypothesis,
esk3_1(xk) != sz00,
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_132,c_0_187]),c_0_37]),c_0_133])]),c_0_38]),c_0_188]) ).
cnf(c_0_197,negated_conjecture,
esk3_1(xk) != sz10,
inference(sr,[status(thm)],[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_189,c_0_154]),c_0_190]),c_0_54]),c_0_34])]),c_0_51]),c_0_108]),c_0_109]) ).
cnf(c_0_198,negated_conjecture,
( X1 = sz10
| X1 = sz00
| ~ doDivides0(esk4_1(X1),xk)
| ~ iLess0(X1,xk)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_191]),c_0_192]) ).
cnf(c_0_199,hypothesis,
( doDivides0(esk4_1(esk3_1(xk)),xk)
| ~ aNaturalNumber0(esk4_1(esk3_1(xk))) ),
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_193,c_0_194]),c_0_195]),c_0_185])]),c_0_196]),c_0_197]) ).
cnf(c_0_200,negated_conjecture,
~ aNaturalNumber0(esk4_1(esk3_1(xk))),
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_198,c_0_199]),c_0_195]),c_0_185])]),c_0_197]),c_0_196]) ).
cnf(c_0_201,hypothesis,
$false,
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_200,c_0_192]),c_0_195]),c_0_185])]),c_0_196]),c_0_197]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM483+1 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n018.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 00:37:47 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 146.57/102.61 % Version : CSE_E---1.7
% 146.57/102.61 % Problem : theBenchmark.p
% 146.57/102.61 % SZS status Theorem for theBenchmark.p
% 146.57/102.61 % SZS output start CNFRefutation
% See solution above
% 147.17/103.27 % Total time : 78.237s
%------------------------------------------------------------------------------