TSTP Solution File: NUM453+6 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM453+6 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 09:32:35 EDT 2022
% Result : Theorem 0.23s 1.41s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 15
% Syntax : Number of formulae : 124 ( 35 unt; 0 def)
% Number of atoms : 516 ( 194 equ)
% Maximal formula atoms : 102 ( 4 avg)
% Number of connectives : 587 ( 195 ~; 229 |; 139 &)
% ( 5 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 8 con; 0-3 aty)
% Number of variables : 108 ( 9 sgn 61 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mZeroDiv,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> ( sdtasdt0(X1,X2) = sz00
=> ( X1 = sz00
| X2 = sz00 ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mZeroDiv) ).
fof(m__2232,hypothesis,
( ? [X1] :
( aInteger0(X1)
& sdtasdt0(xp,X1) = sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)) )
& aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,xp),sz10,xp)
& aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ? [X1] :
( aInteger0(X1)
& sdtasdt0(xp,X1) = sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)) )
& aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,smndt0(xp)),sz10,xp)
& aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2232) ).
fof(m__2171,hypothesis,
( aInteger0(xp)
& xp != sz00
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ! [X1] :
( ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
=> ( aInteger0(X1)
& ? [X2] :
( aInteger0(X2)
& sdtasdt0(xp,X2) = sdtpldt0(X1,smndt0(sz10)) )
& aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(X1,sz10,xp) ) )
& ( ( aInteger0(X1)
& ( ? [X2] :
( aInteger0(X2)
& sdtasdt0(xp,X2) = sdtpldt0(X1,smndt0(sz10)) )
| aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10)))
| sdteqdtlpzmzozddtrp0(X1,sz10,xp) ) )
=> aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X1] :
( aElementOf0(X1,sbsmnsldt0(xS))
<=> ( aInteger0(X1)
& ? [X2] :
( aElementOf0(X2,xS)
& aElementOf0(X1,X2) ) ) )
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,sbsmnsldt0(xS)) ) )
& ! [X1] :
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
=> aElementOf0(X1,stldt0(sbsmnsldt0(xS))) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2171) ).
fof(m__,conjecture,
( sdtpldt0(sz10,xp) != sz10
& sdtpldt0(sz10,smndt0(xp)) != sz10 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
fof(mAddNeg,axiom,
! [X1] :
( aInteger0(X1)
=> ( sdtpldt0(X1,smndt0(X1)) = sz00
& sz00 = sdtpldt0(smndt0(X1),X1) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mAddNeg) ).
fof(mIntOne,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mIntOne) ).
fof(m__2079,hypothesis,
( aSet0(sbsmnsldt0(xS))
& ! [X1] :
( aElementOf0(X1,sbsmnsldt0(xS))
<=> ( aInteger0(X1)
& ? [X2] :
( aElementOf0(X2,xS)
& aElementOf0(X1,X2) ) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,sbsmnsldt0(xS)) ) )
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
<=> ( X1 = sz10
| X1 = smndt0(sz10) ) )
& stldt0(sbsmnsldt0(xS)) = cS2076 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2079) ).
fof(m__2046,hypothesis,
( aSet0(xS)
& ! [X1] :
( ( aElementOf0(X1,xS)
=> ? [X2] :
( aInteger0(X2)
& X2 != sz00
& isPrime0(X2)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X2))
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2))
=> ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(sz00)) )
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X3,sz00,X2) ) )
& ( ( aInteger0(X3)
& ( ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(sz00)) )
| aDivisorOf0(X2,sdtpldt0(X3,smndt0(sz00)))
| sdteqdtlpzmzozddtrp0(X3,sz00,X2) ) )
=> aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2)) ) )
& szAzrzSzezqlpdtcmdtrp0(sz00,X2) = X1 ) )
& ( ? [X2] :
( aInteger0(X2)
& X2 != sz00
& isPrime0(X2)
& ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X2))
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2))
=> ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(sz00)) )
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X3,sz00,X2) ) )
& ( ( aInteger0(X3)
& ( ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(sz00)) )
| aDivisorOf0(X2,sdtpldt0(X3,smndt0(sz00)))
| sdteqdtlpzmzozddtrp0(X3,sz00,X2) ) )
=> aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2)) ) ) )
=> szAzrzSzezqlpdtcmdtrp0(sz00,X2) = X1 ) )
=> aElementOf0(X1,xS) ) )
& xS = cS2043 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2046) ).
fof(mMulComm,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mMulComm) ).
fof(mMulZero,axiom,
! [X1] :
( aInteger0(X1)
=> ( sdtasdt0(X1,sz00) = sz00
& sz00 = sdtasdt0(sz00,X1) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mMulZero) ).
fof(mAddComm,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mAddComm) ).
fof(mAddAsso,axiom,
! [X1,X2,X3] :
( ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3) )
=> sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(X1,X2),X3) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mAddAsso) ).
fof(mIntNeg,axiom,
! [X1] :
( aInteger0(X1)
=> aInteger0(smndt0(X1)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mIntNeg) ).
fof(mAddZero,axiom,
! [X1] :
( aInteger0(X1)
=> ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mAddZero) ).
fof(mIntZero,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mIntZero) ).
fof(c_0_15,plain,
! [X3,X4] :
( ~ aInteger0(X3)
| ~ aInteger0(X4)
| sdtasdt0(X3,X4) != sz00
| X3 = sz00
| X4 = sz00 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroDiv])]) ).
fof(c_0_16,hypothesis,
( aInteger0(esk13_0)
& sdtasdt0(xp,esk13_0) = sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10))
& aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,xp),sz10,xp)
& aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& aInteger0(esk14_0)
& sdtasdt0(xp,esk14_0) = sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))
& aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,smndt0(xp)),sz10,xp)
& aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[m__2232])])])]) ).
fof(c_0_17,hypothesis,
! [X3,X3,X5,X6,X6,X8,X9,X9,X10] :
( aInteger0(xp)
& xp != sz00
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ( aInteger0(X3)
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( aInteger0(esk11_1(X3))
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( sdtasdt0(xp,esk11_1(X3)) = sdtpldt0(X3,smndt0(sz10))
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( aDivisorOf0(xp,sdtpldt0(X3,smndt0(sz10)))
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( sdteqdtlpzmzozddtrp0(X3,sz10,xp)
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( ~ aInteger0(X5)
| sdtasdt0(xp,X5) != sdtpldt0(X3,smndt0(sz10))
| ~ aInteger0(X3)
| aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( ~ aDivisorOf0(xp,sdtpldt0(X3,smndt0(sz10)))
| ~ aInteger0(X3)
| aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( ~ sdteqdtlpzmzozddtrp0(X3,sz10,xp)
| ~ aInteger0(X3)
| aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& aSet0(sbsmnsldt0(xS))
& ( aInteger0(X6)
| ~ aElementOf0(X6,sbsmnsldt0(xS)) )
& ( aElementOf0(esk12_1(X6),xS)
| ~ aElementOf0(X6,sbsmnsldt0(xS)) )
& ( aElementOf0(X6,esk12_1(X6))
| ~ aElementOf0(X6,sbsmnsldt0(xS)) )
& ( ~ aInteger0(X6)
| ~ aElementOf0(X8,xS)
| ~ aElementOf0(X6,X8)
| aElementOf0(X6,sbsmnsldt0(xS)) )
& ( aInteger0(X9)
| ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X9,sbsmnsldt0(xS))
| ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
& ( ~ aInteger0(X9)
| aElementOf0(X9,sbsmnsldt0(xS))
| aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| aElementOf0(X10,stldt0(sbsmnsldt0(xS))) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[m__2171])])])])])])])]) ).
fof(c_0_18,negated_conjecture,
~ ( sdtpldt0(sz10,xp) != sz10
& sdtpldt0(sz10,smndt0(xp)) != sz10 ),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_19,plain,
( X1 = sz00
| X2 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,hypothesis,
sdtasdt0(xp,esk14_0) = sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,hypothesis,
aInteger0(xp),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,hypothesis,
aInteger0(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,hypothesis,
xp != sz00,
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_24,negated_conjecture,
( sdtpldt0(sz10,xp) = sz10
| sdtpldt0(sz10,smndt0(xp)) = sz10 ),
inference(fof_nnf,[status(thm)],[c_0_18]) ).
cnf(c_0_25,hypothesis,
( sz00 = esk14_0
| sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)) != sz00 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22])]),c_0_23]) ).
cnf(c_0_26,negated_conjecture,
( sdtpldt0(sz10,smndt0(xp)) = sz10
| sdtpldt0(sz10,xp) = sz10 ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_27,plain,
! [X2] :
( ( sdtpldt0(X2,smndt0(X2)) = sz00
| ~ aInteger0(X2) )
& ( sz00 = sdtpldt0(smndt0(X2),X2)
| ~ aInteger0(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddNeg])])]) ).
cnf(c_0_28,hypothesis,
sdtasdt0(xp,esk13_0) = sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_29,hypothesis,
aInteger0(esk13_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_30,negated_conjecture,
( sdtpldt0(sz10,xp) = sz10
| sz00 = esk14_0
| sdtpldt0(sz10,smndt0(sz10)) != sz00 ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,plain,
( sdtpldt0(X1,smndt0(X1)) = sz00
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_32,plain,
aInteger0(sz10),
inference(split_conjunct,[status(thm)],[mIntOne]) ).
cnf(c_0_33,hypothesis,
( sz00 = esk13_0
| sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)) != sz00 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_28]),c_0_21]),c_0_29])]),c_0_23]) ).
cnf(c_0_34,negated_conjecture,
( sdtpldt0(sz10,xp) = sz10
| sz00 = esk14_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]) ).
cnf(c_0_35,hypothesis,
( sz00 = esk14_0
| sz00 = esk13_0
| sdtpldt0(sz10,smndt0(sz10)) != sz00 ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
fof(c_0_36,hypothesis,
! [X3,X3,X5,X6,X6,X7,X7] :
( aSet0(sbsmnsldt0(xS))
& ( aInteger0(X3)
| ~ aElementOf0(X3,sbsmnsldt0(xS)) )
& ( aElementOf0(esk4_1(X3),xS)
| ~ aElementOf0(X3,sbsmnsldt0(xS)) )
& ( aElementOf0(X3,esk4_1(X3))
| ~ aElementOf0(X3,sbsmnsldt0(xS)) )
& ( ~ aInteger0(X3)
| ~ aElementOf0(X5,xS)
| ~ aElementOf0(X3,X5)
| aElementOf0(X3,sbsmnsldt0(xS)) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ( aInteger0(X6)
| ~ aElementOf0(X6,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X6,sbsmnsldt0(xS))
| ~ aElementOf0(X6,stldt0(sbsmnsldt0(xS))) )
& ( ~ aInteger0(X6)
| aElementOf0(X6,sbsmnsldt0(xS))
| aElementOf0(X6,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X7,stldt0(sbsmnsldt0(xS)))
| X7 = sz10
| X7 = smndt0(sz10) )
& ( X7 != sz10
| aElementOf0(X7,stldt0(sbsmnsldt0(xS))) )
& ( X7 != smndt0(sz10)
| aElementOf0(X7,stldt0(sbsmnsldt0(xS))) )
& stldt0(sbsmnsldt0(xS)) = cS2076 ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[m__2079])])])])])])])]) ).
fof(c_0_37,hypothesis,
! [X5,X7,X7,X9,X5,X10,X11,X11,X13] :
( aSet0(xS)
& ( aInteger0(esk1_1(X5))
| ~ aElementOf0(X5,xS) )
& ( esk1_1(X5) != sz00
| ~ aElementOf0(X5,xS) )
& ( isPrime0(esk1_1(X5))
| ~ aElementOf0(X5,xS) )
& ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X5)))
| ~ aElementOf0(X5,xS) )
& ( aInteger0(X7)
| ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X5)))
| ~ aElementOf0(X5,xS) )
& ( aInteger0(esk2_2(X5,X7))
| ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X5)))
| ~ aElementOf0(X5,xS) )
& ( sdtasdt0(esk1_1(X5),esk2_2(X5,X7)) = sdtpldt0(X7,smndt0(sz00))
| ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X5)))
| ~ aElementOf0(X5,xS) )
& ( aDivisorOf0(esk1_1(X5),sdtpldt0(X7,smndt0(sz00)))
| ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X5)))
| ~ aElementOf0(X5,xS) )
& ( sdteqdtlpzmzozddtrp0(X7,sz00,esk1_1(X5))
| ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X5)))
| ~ aElementOf0(X5,xS) )
& ( ~ aInteger0(X9)
| sdtasdt0(esk1_1(X5),X9) != sdtpldt0(X7,smndt0(sz00))
| ~ aInteger0(X7)
| aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X5)))
| ~ aElementOf0(X5,xS) )
& ( ~ aDivisorOf0(esk1_1(X5),sdtpldt0(X7,smndt0(sz00)))
| ~ aInteger0(X7)
| aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X5)))
| ~ aElementOf0(X5,xS) )
& ( ~ sdteqdtlpzmzozddtrp0(X7,sz00,esk1_1(X5))
| ~ aInteger0(X7)
| aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X5)))
| ~ aElementOf0(X5,xS) )
& ( szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X5)) = X5
| ~ aElementOf0(X5,xS) )
& ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X10))
| ~ aInteger0(X10)
| X10 = sz00
| ~ isPrime0(X10)
| aElementOf0(X5,xS) )
& ( aInteger0(X11)
| ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10))
| ~ aInteger0(X10)
| X10 = sz00
| ~ isPrime0(X10)
| aElementOf0(X5,xS) )
& ( aInteger0(esk3_3(X5,X10,X11))
| ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10))
| ~ aInteger0(X10)
| X10 = sz00
| ~ isPrime0(X10)
| aElementOf0(X5,xS) )
& ( sdtasdt0(X10,esk3_3(X5,X10,X11)) = sdtpldt0(X11,smndt0(sz00))
| ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10))
| ~ aInteger0(X10)
| X10 = sz00
| ~ isPrime0(X10)
| aElementOf0(X5,xS) )
& ( aDivisorOf0(X10,sdtpldt0(X11,smndt0(sz00)))
| ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10))
| ~ aInteger0(X10)
| X10 = sz00
| ~ isPrime0(X10)
| aElementOf0(X5,xS) )
& ( sdteqdtlpzmzozddtrp0(X11,sz00,X10)
| ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10))
| ~ aInteger0(X10)
| X10 = sz00
| ~ isPrime0(X10)
| aElementOf0(X5,xS) )
& ( ~ aInteger0(X13)
| sdtasdt0(X10,X13) != sdtpldt0(X11,smndt0(sz00))
| ~ aInteger0(X11)
| aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10))
| ~ aInteger0(X10)
| X10 = sz00
| ~ isPrime0(X10)
| aElementOf0(X5,xS) )
& ( ~ aDivisorOf0(X10,sdtpldt0(X11,smndt0(sz00)))
| ~ aInteger0(X11)
| aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10))
| ~ aInteger0(X10)
| X10 = sz00
| ~ isPrime0(X10)
| aElementOf0(X5,xS) )
& ( ~ sdteqdtlpzmzozddtrp0(X11,sz00,X10)
| ~ aInteger0(X11)
| aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10))
| ~ aInteger0(X10)
| X10 = sz00
| ~ isPrime0(X10)
| aElementOf0(X5,xS) )
& ( szAzrzSzezqlpdtcmdtrp0(sz00,X10) != X5
| ~ aInteger0(X10)
| X10 = sz00
| ~ isPrime0(X10)
| aElementOf0(X5,xS) )
& xS = cS2043 ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2046])])])])])])]) ).
fof(c_0_38,plain,
! [X3,X4] :
( ~ aInteger0(X3)
| ~ aInteger0(X4)
| sdtasdt0(X3,X4) = sdtasdt0(X4,X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])]) ).
fof(c_0_39,plain,
! [X2] :
( ( sdtasdt0(X2,sz00) = sz00
| ~ aInteger0(X2) )
& ( sz00 = sdtasdt0(sz00,X2)
| ~ aInteger0(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulZero])])]) ).
cnf(c_0_40,hypothesis,
( sz00 = esk13_0
| sz00 = esk14_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_31]),c_0_32])]) ).
cnf(c_0_41,hypothesis,
stldt0(sbsmnsldt0(xS)) = cS2076,
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_42,hypothesis,
xS = cS2043,
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_43,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_44,plain,
( sz00 = sdtasdt0(sz00,X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_45,hypothesis,
( sz00 = esk13_0
| esk14_0 != esk13_0 ),
inference(ef,[status(thm)],[c_0_40]) ).
cnf(c_0_46,hypothesis,
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_47,hypothesis,
stldt0(sbsmnsldt0(cS2043)) = cS2076,
inference(rw,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_48,hypothesis,
sdtasdt0(esk13_0,xp) = sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_43]),c_0_21]),c_0_29])]) ).
cnf(c_0_49,hypothesis,
( sdtasdt0(esk13_0,X1) = esk13_0
| esk14_0 != esk13_0
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
fof(c_0_50,plain,
! [X3,X4] :
( ~ aInteger0(X3)
| ~ aInteger0(X4)
| sdtpldt0(X3,X4) = sdtpldt0(X4,X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddComm])]) ).
cnf(c_0_51,hypothesis,
( X1 = smndt0(sz10)
| X1 = sz10
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_52,hypothesis,
( aElementOf0(X1,cS2076)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_42]),c_0_47]) ).
cnf(c_0_53,hypothesis,
aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_54,hypothesis,
( sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)) = esk13_0
| esk14_0 != esk13_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_21])]) ).
cnf(c_0_55,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_56,hypothesis,
( X1 = smndt0(sz10)
| X1 = sz10
| ~ aElementOf0(X1,cS2076) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_42]),c_0_47]) ).
cnf(c_0_57,hypothesis,
aElementOf0(sdtpldt0(sz10,xp),cS2076),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
fof(c_0_58,plain,
! [X4,X5,X6] :
( ~ aInteger0(X4)
| ~ aInteger0(X5)
| ~ aInteger0(X6)
| sdtpldt0(X4,sdtpldt0(X5,X6)) = sdtpldt0(sdtpldt0(X4,X5),X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddAsso])]) ).
cnf(c_0_59,hypothesis,
( sdtpldt0(sdtpldt0(xp,sz10),smndt0(sz10)) = esk13_0
| esk14_0 != esk13_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_21]),c_0_32])]) ).
cnf(c_0_60,hypothesis,
( smndt0(sz10) = sdtpldt0(sz10,xp)
| sdtpldt0(sz10,xp) = sz10 ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_61,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_62,plain,
( sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(X1,X2),X3)
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_63,hypothesis,
( sdtpldt0(sdtpldt0(xp,sz10),sdtpldt0(sz10,xp)) = esk13_0
| sdtpldt0(sz10,xp) = sz10
| esk14_0 != esk13_0 ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_64,hypothesis,
aInteger0(sdtpldt0(sz10,xp)),
inference(spm,[status(thm)],[c_0_61,c_0_53]) ).
cnf(c_0_65,negated_conjecture,
( sdtpldt0(sz10,sdtpldt0(smndt0(xp),X1)) = sdtpldt0(sz10,X1)
| sdtpldt0(sz10,xp) = sz10
| ~ aInteger0(smndt0(xp))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_26]),c_0_32])]) ).
cnf(c_0_66,plain,
( sz00 = sdtpldt0(smndt0(X1),X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_67,plain,
! [X2] :
( ~ aInteger0(X2)
| aInteger0(smndt0(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntNeg])]) ).
cnf(c_0_68,hypothesis,
( sdtpldt0(xp,sdtpldt0(sz10,sdtpldt0(sz10,xp))) = esk13_0
| sdtpldt0(sz10,xp) = sz10
| esk14_0 != esk13_0 ),
inference(cn,[status(thm)],[inference(rw,[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_32]),c_0_21])]) ).
cnf(c_0_69,hypothesis,
( sdtpldt0(sz10,sdtpldt0(sz10,xp)) = sz00
| sdtpldt0(sz10,xp) = sz10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_60]),c_0_32])]) ).
fof(c_0_70,plain,
! [X2] :
( ( sdtpldt0(X2,sz00) = X2
| ~ aInteger0(X2) )
& ( X2 = sdtpldt0(sz00,X2)
| ~ aInteger0(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddZero])])]) ).
cnf(c_0_71,negated_conjecture,
( sdtpldt0(sz10,sz00) = sdtpldt0(sz10,xp)
| sdtpldt0(sz10,xp) = sz10
| ~ aInteger0(smndt0(xp)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_21])]) ).
cnf(c_0_72,plain,
( aInteger0(smndt0(X1))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_73,hypothesis,
( sdtpldt0(sz10,xp) = sz10
| sdtpldt0(xp,sz00) = esk13_0
| esk14_0 != esk13_0 ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_74,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_75,negated_conjecture,
( sdtpldt0(sz10,sz00) = sdtpldt0(sz10,xp)
| sdtpldt0(sz10,xp) = sz10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_21])]) ).
cnf(c_0_76,hypothesis,
( sdtpldt0(xp,sz00) = esk13_0
| sdtpldt0(xp,sz10) = sz10
| esk14_0 != esk13_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_73]),c_0_21]),c_0_32])]) ).
cnf(c_0_77,hypothesis,
( xp != esk13_0
| esk14_0 != esk13_0 ),
inference(spm,[status(thm)],[c_0_23,c_0_45]) ).
cnf(c_0_78,plain,
( X1 = sdtpldt0(sz00,X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_79,plain,
aInteger0(sz00),
inference(split_conjunct,[status(thm)],[mIntZero]) ).
cnf(c_0_80,negated_conjecture,
sdtpldt0(sz10,xp) = sz10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_32])]) ).
cnf(c_0_81,plain,
( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz00,X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_66]),c_0_72]) ).
cnf(c_0_82,hypothesis,
( sdtpldt0(xp,sz10) = sz10
| esk14_0 != esk13_0 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_76]),c_0_21])]),c_0_77]) ).
cnf(c_0_83,plain,
( sdtpldt0(sz00,sdtpldt0(X1,X2)) = sdtpldt0(X1,X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_78]),c_0_79])]) ).
cnf(c_0_84,plain,
( smndt0(sz00) = sz00
| ~ aInteger0(smndt0(sz00)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_66]),c_0_79])]) ).
cnf(c_0_85,negated_conjecture,
( sdtpldt0(xp,sz10) = sz10
| sz00 = esk14_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_34]),c_0_21]),c_0_32])]) ).
cnf(c_0_86,hypothesis,
( sz00 = esk13_0
| sdtpldt0(sz10,smndt0(sz10)) != sz00 ),
inference(rw,[status(thm)],[c_0_33,c_0_80]) ).
cnf(c_0_87,hypothesis,
( sdtpldt0(smndt0(xp),sz10) = sdtpldt0(sz00,sz10)
| esk14_0 != esk13_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_32]),c_0_21])]) ).
cnf(c_0_88,negated_conjecture,
sdtpldt0(sz00,sz10) = sz10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_80]),c_0_21]),c_0_32])]) ).
cnf(c_0_89,plain,
smndt0(sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_72]),c_0_79])]) ).
cnf(c_0_90,negated_conjecture,
( sdtpldt0(smndt0(xp),sz10) = sdtpldt0(sz00,sz10)
| sz00 = esk14_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_85]),c_0_32]),c_0_21])]) ).
cnf(c_0_91,hypothesis,
sz00 = esk13_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_31]),c_0_32])]) ).
cnf(c_0_92,hypothesis,
( sdtpldt0(smndt0(xp),sz10) = sz10
| esk14_0 != esk13_0 ),
inference(rw,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_93,negated_conjecture,
sdtpldt0(sz10,sz00) = sz10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_88]),c_0_32]),c_0_79])]) ).
cnf(c_0_94,plain,
sdtpldt0(sz00,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_89]),c_0_79])]) ).
cnf(c_0_95,negated_conjecture,
sdtpldt0(smndt0(xp),sz10) = sz10,
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_88]),c_0_91]),c_0_92]) ).
cnf(c_0_96,negated_conjecture,
sdtpldt0(smndt0(sz10),sz10) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_93]),c_0_94]),c_0_79]),c_0_32])]) ).
cnf(c_0_97,hypothesis,
( esk14_0 = esk13_0
| sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)) != esk13_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_91]),c_0_91]) ).
cnf(c_0_98,negated_conjecture,
( sdtpldt0(sz10,smndt0(xp)) = sz10
| ~ aInteger0(smndt0(xp)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_95]),c_0_32])]) ).
cnf(c_0_99,negated_conjecture,
sdtpldt0(smndt0(sz10),sz10) = esk13_0,
inference(rw,[status(thm)],[c_0_96,c_0_91]) ).
cnf(c_0_100,hypothesis,
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| X1 != smndt0(sz10) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_101,negated_conjecture,
( esk14_0 = esk13_0
| sdtpldt0(sz10,smndt0(sz10)) != esk13_0
| ~ aInteger0(smndt0(xp)) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_102,negated_conjecture,
( sdtpldt0(sz10,smndt0(sz10)) = esk13_0
| ~ aInteger0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_99]),c_0_32])]) ).
cnf(c_0_103,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_104,hypothesis,
( aElementOf0(X1,cS2076)
| X1 != smndt0(sz10) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_42]),c_0_47]) ).
cnf(c_0_105,negated_conjecture,
( esk14_0 = esk13_0
| ~ aInteger0(smndt0(xp))
| ~ aInteger0(smndt0(sz10)) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_106,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X1,cS2076) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_42]),c_0_47]) ).
cnf(c_0_107,hypothesis,
aElementOf0(smndt0(sz10),cS2076),
inference(er,[status(thm)],[c_0_104]) ).
cnf(c_0_108,hypothesis,
( esk14_0 = esk13_0
| ~ aInteger0(smndt0(xp)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_107])]) ).
cnf(c_0_109,hypothesis,
( sdtpldt0(sz10,smndt0(sz10)) = esk13_0
| esk14_0 != esk13_0 ),
inference(spm,[status(thm)],[c_0_59,c_0_82]) ).
cnf(c_0_110,hypothesis,
esk14_0 = esk13_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_72]),c_0_21])]) ).
cnf(c_0_111,hypothesis,
sdtasdt0(esk14_0,xp) = sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_43]),c_0_21]),c_0_22])]) ).
cnf(c_0_112,hypothesis,
sdtpldt0(sz10,smndt0(sz10)) = esk13_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_110])]) ).
cnf(c_0_113,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X2,sdtpldt0(X1,X3))
| ~ aInteger0(X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(spm,[status(thm)],[c_0_62,c_0_55]) ).
cnf(c_0_114,hypothesis,
sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)) = esk13_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_110]),c_0_48]),c_0_80]),c_0_112]) ).
cnf(c_0_115,hypothesis,
( sdtpldt0(smndt0(xp),esk13_0) = esk13_0
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(smndt0(xp)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_112]),c_0_32])]) ).
cnf(c_0_116,plain,
( sdtpldt0(X1,esk13_0) = X1
| ~ aInteger0(X1) ),
inference(rw,[status(thm)],[c_0_74,c_0_91]) ).
cnf(c_0_117,hypothesis,
( sdtpldt0(smndt0(xp),esk13_0) = esk13_0
| ~ aInteger0(smndt0(xp)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_106]),c_0_107])]) ).
cnf(c_0_118,hypothesis,
( smndt0(xp) = esk13_0
| ~ aInteger0(smndt0(xp)) ),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_119,plain,
( sdtpldt0(X1,smndt0(X1)) = esk13_0
| ~ aInteger0(X1) ),
inference(rw,[status(thm)],[c_0_31,c_0_91]) ).
cnf(c_0_120,hypothesis,
smndt0(xp) = esk13_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_72]),c_0_21])]) ).
cnf(c_0_121,hypothesis,
sdtpldt0(xp,esk13_0) = esk13_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_21])]) ).
cnf(c_0_122,hypothesis,
xp != esk13_0,
inference(rw,[status(thm)],[c_0_23,c_0_91]) ).
cnf(c_0_123,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_121]),c_0_21])]),c_0_122]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM453+6 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jul 5 21:06:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.23/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.41 # Preprocessing time : 0.026 s
% 0.23/1.41
% 0.23/1.41 # Proof found!
% 0.23/1.41 # SZS status Theorem
% 0.23/1.41 # SZS output start CNFRefutation
% See solution above
% 0.23/1.41 # Proof object total steps : 124
% 0.23/1.41 # Proof object clause steps : 95
% 0.23/1.41 # Proof object formula steps : 29
% 0.23/1.41 # Proof object conjectures : 21
% 0.23/1.41 # Proof object clause conjectures : 18
% 0.23/1.41 # Proof object formula conjectures : 3
% 0.23/1.41 # Proof object initial clauses used : 27
% 0.23/1.41 # Proof object initial formulas used : 15
% 0.23/1.41 # Proof object generating inferences : 53
% 0.23/1.41 # Proof object simplifying inferences : 119
% 0.23/1.41 # Training examples: 0 positive, 0 negative
% 0.23/1.41 # Parsed axioms : 48
% 0.23/1.41 # Removed by relevancy pruning/SinE : 4
% 0.23/1.41 # Initial clauses : 207
% 0.23/1.41 # Removed in clause preprocessing : 5
% 0.23/1.41 # Initial clauses in saturation : 202
% 0.23/1.41 # Processed clauses : 1258
% 0.23/1.41 # ...of these trivial : 46
% 0.23/1.41 # ...subsumed : 585
% 0.23/1.41 # ...remaining for further processing : 627
% 0.23/1.41 # Other redundant clauses eliminated : 7
% 0.23/1.41 # Clauses deleted for lack of memory : 0
% 0.23/1.41 # Backward-subsumed : 81
% 0.23/1.41 # Backward-rewritten : 297
% 0.23/1.41 # Generated clauses : 5204
% 0.23/1.41 # ...of the previous two non-trivial : 4755
% 0.23/1.41 # Contextual simplify-reflections : 302
% 0.23/1.41 # Paramodulations : 5165
% 0.23/1.41 # Factorizations : 8
% 0.23/1.41 # Equation resolutions : 31
% 0.23/1.41 # Current number of processed clauses : 249
% 0.23/1.41 # Positive orientable unit clauses : 32
% 0.23/1.41 # Positive unorientable unit clauses: 0
% 0.23/1.41 # Negative unit clauses : 4
% 0.23/1.41 # Non-unit-clauses : 213
% 0.23/1.41 # Current number of unprocessed clauses: 1133
% 0.23/1.41 # ...number of literals in the above : 5766
% 0.23/1.41 # Current number of archived formulas : 0
% 0.23/1.41 # Current number of archived clauses : 378
% 0.23/1.41 # Clause-clause subsumption calls (NU) : 38843
% 0.23/1.41 # Rec. Clause-clause subsumption calls : 21787
% 0.23/1.41 # Non-unit clause-clause subsumptions : 873
% 0.23/1.41 # Unit Clause-clause subsumption calls : 1278
% 0.23/1.41 # Rewrite failures with RHS unbound : 0
% 0.23/1.41 # BW rewrite match attempts : 26
% 0.23/1.41 # BW rewrite match successes : 19
% 0.23/1.41 # Condensation attempts : 0
% 0.23/1.41 # Condensation successes : 0
% 0.23/1.41 # Termbank termtop insertions : 99142
% 0.23/1.41
% 0.23/1.41 # -------------------------------------------------
% 0.23/1.41 # User time : 0.158 s
% 0.23/1.41 # System time : 0.008 s
% 0.23/1.41 # Total time : 0.166 s
% 0.23/1.41 # Maximum resident set size: 6880 pages
%------------------------------------------------------------------------------