%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM446+5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:15:13 PM UTC 2026
% Result : Theorem 67.02s 16.73s
% Output : Refutation 112.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 67
% Syntax : Number of formulae : 480 ( 59 unt; 53 def)
% Number of atoms : 2117 ( 314 equ)
% Maximal formula atoms : 38 ( 4 avg)
% Number of connectives : 2798 (1161 ~;1206 |; 316 &)
% ( 83 <=>; 30 =>; 0 <=; 2 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 63 ( 61 usr; 54 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 7 con; 0-3 aty)
% Number of variables : 460 ( 0 sgn 413 !; 47 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntZero) ).
fof(f3,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntOne) ).
fof(f4,axiom,
! [X0] :
( aInteger0(X0)
=> aInteger0(smndt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntNeg) ).
fof(f9,axiom,
! [X0] :
( aInteger0(X0)
=> ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddZero) ).
fof(f15,axiom,
! [X0] :
( aInteger0(X0)
=> ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulZero) ).
fof(f16,axiom,
! [X0] :
( aInteger0(X0)
=> ( sdtasdt0(smndt0(sz10),X0) = smndt0(X0)
& smndt0(X0) = sdtasdt0(X0,smndt0(sz10)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulMinOne) ).
fof(f18,axiom,
! [X0] :
( aInteger0(X0)
=> ! [X1] :
( aDivisorOf0(X1,X0)
<=> ( aInteger0(X1)
& X1 != sz00
& ? [X2] :
( aInteger0(X2)
& sdtasdt0(X1,X2) = X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivisor) ).
fof(f19,axiom,
! [X0,X1,X2] :
( ( aInteger0(X0)
& aInteger0(X1)
& aInteger0(X2)
& X2 != sz00 )
=> ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
<=> aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEquMod) ).
fof(f25,axiom,
! [X0] :
( aInteger0(X0)
=> ( ? [X1] :
( aDivisorOf0(X1,X0)
& isPrime0(X1) )
<=> ( X0 != sz10
& X0 != smndt0(sz10) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mPrimeDivisor) ).
fof(f33,axiom,
! [X0] :
( aSubsetOf0(X0,cS1395)
=> ! [X1] :
( X1 = stldt0(X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
<=> ( aInteger0(X2)
& ~ aElementOf0(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mComplement) ).
fof(f34,axiom,
! [X0,X1] :
( ( aInteger0(X0)
& aInteger0(X1)
& X1 != sz00 )
=> ! [X2] :
( X2 = szAzrzSzezqlpdtcmdtrp0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aInteger0(X3)
& sdteqdtlpzmzozddtrp0(X3,X0,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mArSeq) ).
fof(f41,axiom,
! [X0,X1] :
( ( aInteger0(X0)
& aInteger0(X1)
& X1 != sz00 )
=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),cS1395)
& isClosed0(szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mArSeqClosed) ).
fof(f42,axiom,
( aSet0(xS)
& ! [X0] :
( ( aElementOf0(X0,xS)
=> ? [X1] :
( aInteger0(X1)
& X1 != sz00
& isPrime0(X1)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
& ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
=> ( aInteger0(X2)
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00)) )
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X2,sz00,X1) ) )
& ( ( aInteger0(X2)
& ( ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00)) )
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
| sdteqdtlpzmzozddtrp0(X2,sz00,X1) ) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) ) )
& szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0 ) )
& ( ? [X1] :
( aInteger0(X1)
& X1 != sz00
& isPrime0(X1)
& ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
& ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
=> ( aInteger0(X2)
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00)) )
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X2,sz00,X1) ) )
& ( ( aInteger0(X2)
& ( ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00)) )
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
| sdteqdtlpzmzozddtrp0(X2,sz00,X1) ) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) ) ) )
=> szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0 ) )
=> aElementOf0(X0,xS) ) )
& xS = cS2043 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2046) ).
fof(f43,conjecture,
( ( aSet0(sbsmnsldt0(xS))
& ! [X0] :
( aElementOf0(X0,sbsmnsldt0(xS))
<=> ( aInteger0(X0)
& ? [X1] :
( aElementOf0(X1,xS)
& aElementOf0(X0,X1) ) ) ) )
=> ( ( aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(X0)
& ~ aElementOf0(X0,sbsmnsldt0(xS)) ) ) )
=> ( ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
<=> ( X0 = sz10
| X0 = smndt0(sz10) ) )
| stldt0(sbsmnsldt0(xS)) = cS2076 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f44,negated_conjecture,
~ ( ( aSet0(sbsmnsldt0(xS))
& ! [X0] :
( aElementOf0(X0,sbsmnsldt0(xS))
<=> ( aInteger0(X0)
& ? [X1] :
( aElementOf0(X1,xS)
& aElementOf0(X0,X1) ) ) ) )
=> ( ( aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(X0)
& ~ aElementOf0(X0,sbsmnsldt0(xS)) ) ) )
=> ( ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
<=> ( X0 = sz10
| X0 = smndt0(sz10) ) )
| stldt0(sbsmnsldt0(xS)) = cS2076 ) ) ),
inference(negated_conjecture,[status(cth)],[f43]) ).
fof(f51,plain,
( aSet0(xS)
& ! [X0] :
( ( aElementOf0(X0,xS)
=> ? [X1] :
( aInteger0(X1)
& X1 != sz00
& isPrime0(X1)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
& ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
=> ( aInteger0(X2)
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00)) )
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X2,sz00,X1) ) )
& ( ( aInteger0(X2)
& ( ? [X4] :
( aInteger0(X4)
& sdtpldt0(X2,smndt0(sz00)) = sdtasdt0(X1,X4) )
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
| sdteqdtlpzmzozddtrp0(X2,sz00,X1) ) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) ) )
& szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0 ) )
& ( ? [X5] :
( aInteger0(X5)
& sz00 != X5
& isPrime0(X5)
& ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X5))
& ! [X6] :
( ( aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
=> ( aInteger0(X6)
& ? [X7] :
( aInteger0(X7)
& sdtasdt0(X5,X7) = sdtpldt0(X6,smndt0(sz00)) )
& aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X6,sz00,X5) ) )
& ( ( aInteger0(X6)
& ( ? [X8] :
( aInteger0(X8)
& sdtpldt0(X6,smndt0(sz00)) = sdtasdt0(X5,X8) )
| aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
| sdteqdtlpzmzozddtrp0(X6,sz00,X5) ) )
=> aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5)) ) ) )
=> szAzrzSzezqlpdtcmdtrp0(sz00,X5) = X0 ) )
=> aElementOf0(X0,xS) ) )
& xS = cS2043 ),
inference(rectify,[],[f42]) ).
fof(f52,plain,
~ ( ( aSet0(sbsmnsldt0(xS))
& ! [X0] :
( aElementOf0(X0,sbsmnsldt0(xS))
<=> ( aInteger0(X0)
& ? [X1] :
( aElementOf0(X1,xS)
& aElementOf0(X0,X1) ) ) ) )
=> ( ( aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X2] :
( aElementOf0(X2,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(X2)
& ~ aElementOf0(X2,sbsmnsldt0(xS)) ) ) )
=> ( ! [X3] :
( aElementOf0(X3,stldt0(sbsmnsldt0(xS)))
<=> ( sz10 = X3
| smndt0(sz10) = X3 ) )
| stldt0(sbsmnsldt0(xS)) = cS2076 ) ) ),
inference(rectify,[],[f44]) ).
fof(f54,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f63,plain,
! [X0] :
( ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f72,plain,
! [X0] :
( ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f73,plain,
! [X0] :
( ( sdtasdt0(smndt0(sz10),X0) = smndt0(X0)
& smndt0(X0) = sdtasdt0(X0,smndt0(sz10)) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f76,plain,
! [X0] :
( ! [X1] :
( aDivisorOf0(X1,X0)
<=> ( aInteger0(X1)
& X1 != sz00
& ? [X2] :
( aInteger0(X2)
& sdtasdt0(X1,X2) = X0 ) ) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f77,plain,
! [X0,X1,X2] :
( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
<=> aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) )
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sz00 = X2 ),
inference(ennf_transformation,[],[f19]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
<=> aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) )
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sz00 = X2 ),
inference(flattening,[],[f77]) ).
fof(f87,plain,
! [X0] :
( ( ? [X1] :
( aDivisorOf0(X1,X0)
& isPrime0(X1) )
<=> ( X0 != sz10
& X0 != smndt0(sz10) ) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f95,plain,
! [X0] :
( ! [X1] :
( X1 = stldt0(X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
<=> ( aInteger0(X2)
& ~ aElementOf0(X2,X0) ) ) ) )
| ~ aSubsetOf0(X0,cS1395) ),
inference(ennf_transformation,[],[f33]) ).
fof(f96,plain,
! [X0,X1] :
( ! [X2] :
( X2 = szAzrzSzezqlpdtcmdtrp0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aInteger0(X3)
& sdteqdtlpzmzozddtrp0(X3,X0,X1) ) ) ) )
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(ennf_transformation,[],[f34]) ).
fof(f97,plain,
! [X0,X1] :
( ! [X2] :
( X2 = szAzrzSzezqlpdtcmdtrp0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aInteger0(X3)
& sdteqdtlpzmzozddtrp0(X3,X0,X1) ) ) ) )
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(flattening,[],[f96]) ).
fof(f106,plain,
! [X0,X1] :
( ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),cS1395)
& isClosed0(szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(ennf_transformation,[],[f41]) ).
fof(f107,plain,
! [X0,X1] :
( ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),cS1395)
& isClosed0(szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(flattening,[],[f106]) ).
fof(f108,plain,
( aSet0(xS)
& ! [X0] :
( ( ? [X1] :
( aInteger0(X1)
& X1 != sz00
& isPrime0(X1)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
& ! [X2] :
( ( ( aInteger0(X2)
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00)) )
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X2,sz00,X1) )
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| ~ aInteger0(X2)
| ( ! [X4] :
( ~ aInteger0(X4)
| sdtpldt0(X2,smndt0(sz00)) != sdtasdt0(X1,X4) )
& ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& ~ sdteqdtlpzmzozddtrp0(X2,sz00,X1) ) ) )
& szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0 )
| ~ aElementOf0(X0,xS) )
& ( aElementOf0(X0,xS)
| ! [X5] :
( ~ aInteger0(X5)
| sz00 = X5
| ~ isPrime0(X5)
| ( szAzrzSzezqlpdtcmdtrp0(sz00,X5) != X0
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X5))
& ! [X6] :
( ( ( aInteger0(X6)
& ? [X7] :
( aInteger0(X7)
& sdtasdt0(X5,X7) = sdtpldt0(X6,smndt0(sz00)) )
& aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X6,sz00,X5) )
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5)) )
& ( aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| ~ aInteger0(X6)
| ( ! [X8] :
( ~ aInteger0(X8)
| sdtpldt0(X6,smndt0(sz00)) != sdtasdt0(X5,X8) )
& ~ aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& ~ sdteqdtlpzmzozddtrp0(X6,sz00,X5) ) ) ) ) ) ) )
& xS = cS2043 ),
inference(ennf_transformation,[],[f51]) ).
fof(f109,plain,
( aSet0(xS)
& ! [X0] :
( ( ? [X1] :
( aInteger0(X1)
& X1 != sz00
& isPrime0(X1)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
& ! [X2] :
( ( ( aInteger0(X2)
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00)) )
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X2,sz00,X1) )
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| ~ aInteger0(X2)
| ( ! [X4] :
( ~ aInteger0(X4)
| sdtpldt0(X2,smndt0(sz00)) != sdtasdt0(X1,X4) )
& ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& ~ sdteqdtlpzmzozddtrp0(X2,sz00,X1) ) ) )
& szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0 )
| ~ aElementOf0(X0,xS) )
& ( aElementOf0(X0,xS)
| ! [X5] :
( ~ aInteger0(X5)
| sz00 = X5
| ~ isPrime0(X5)
| ( szAzrzSzezqlpdtcmdtrp0(sz00,X5) != X0
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X5))
& ! [X6] :
( ( ( aInteger0(X6)
& ? [X7] :
( aInteger0(X7)
& sdtasdt0(X5,X7) = sdtpldt0(X6,smndt0(sz00)) )
& aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X6,sz00,X5) )
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5)) )
& ( aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| ~ aInteger0(X6)
| ( ! [X8] :
( ~ aInteger0(X8)
| sdtpldt0(X6,smndt0(sz00)) != sdtasdt0(X5,X8) )
& ~ aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& ~ sdteqdtlpzmzozddtrp0(X6,sz00,X5) ) ) ) ) ) ) )
& xS = cS2043 ),
inference(flattening,[],[f108]) ).
fof(f110,plain,
( ? [X3] :
( aElementOf0(X3,stldt0(sbsmnsldt0(xS)))
<~> ( sz10 = X3
| smndt0(sz10) = X3 ) )
& stldt0(sbsmnsldt0(xS)) != cS2076
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X2] :
( aElementOf0(X2,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(X2)
& ~ aElementOf0(X2,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X0] :
( aElementOf0(X0,sbsmnsldt0(xS))
<=> ( aInteger0(X0)
& ? [X1] :
( aElementOf0(X1,xS)
& aElementOf0(X0,X1) ) ) ) ),
inference(ennf_transformation,[],[f52]) ).
fof(f111,plain,
( ? [X3] :
( aElementOf0(X3,stldt0(sbsmnsldt0(xS)))
<~> ( sz10 = X3
| smndt0(sz10) = X3 ) )
& stldt0(sbsmnsldt0(xS)) != cS2076
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X2] :
( aElementOf0(X2,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(X2)
& ~ aElementOf0(X2,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X0] :
( aElementOf0(X0,sbsmnsldt0(xS))
<=> ( aInteger0(X0)
& ? [X1] :
( aElementOf0(X1,xS)
& aElementOf0(X0,X1) ) ) ) ),
inference(flattening,[],[f110]) ).
fof(f112,plain,
! [X0] :
( ! [X1] :
( ( aDivisorOf0(X1,X0)
| ~ aInteger0(X1)
| sz00 = X1
| ! [X2] :
( ~ aInteger0(X2)
| sdtasdt0(X1,X2) != X0 ) )
& ( ( aInteger0(X1)
& X1 != sz00
& ? [X2] :
( aInteger0(X2)
& sdtasdt0(X1,X2) = X0 ) )
| ~ aDivisorOf0(X1,X0) ) )
| ~ aInteger0(X0) ),
inference(nnf_transformation,[],[f76]) ).
fof(f113,plain,
! [X0] :
( ! [X1] :
( ( aDivisorOf0(X1,X0)
| ~ aInteger0(X1)
| sz00 = X1
| ! [X2] :
( ~ aInteger0(X2)
| sdtasdt0(X1,X2) != X0 ) )
& ( ( aInteger0(X1)
& X1 != sz00
& ? [X2] :
( aInteger0(X2)
& sdtasdt0(X1,X2) = X0 ) )
| ~ aDivisorOf0(X1,X0) ) )
| ~ aInteger0(X0) ),
inference(flattening,[],[f112]) ).
fof(f114,plain,
! [X0] :
( ! [X1] :
( ( aDivisorOf0(X1,X0)
| ~ aInteger0(X1)
| sz00 = X1
| ! [X2] :
( ~ aInteger0(X2)
| sdtasdt0(X1,X2) != X0 ) )
& ( ( aInteger0(X1)
& X1 != sz00
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = X0 ) )
| ~ aDivisorOf0(X1,X0) ) )
| ~ aInteger0(X0) ),
inference(rectify,[],[f113]) ).
fof(f115,plain,
! [X0] :
( ! [X1] :
( ( aDivisorOf0(X1,X0)
| ~ aInteger0(X1)
| sz00 = X1
| ! [X2] :
( ~ aInteger0(X2)
| sdtasdt0(X1,X2) != X0 ) )
& ( ( aInteger0(X1)
& X1 != sz00
& aInteger0(sK0(X0,X1))
& sdtasdt0(X1,sK0(X0,X1)) = X0 )
| ~ aDivisorOf0(X1,X0) ) )
| ~ aInteger0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1))],[f114]) ).
fof(f116,plain,
! [X0,X1,X2] :
( ( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) )
& ( aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1)))
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2) ) )
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sz00 = X2 ),
inference(nnf_transformation,[],[f78]) ).
fof(f117,plain,
! [X0] :
( ( ( ? [X1] :
( aDivisorOf0(X1,X0)
& isPrime0(X1) )
| sz10 = X0
| smndt0(sz10) = X0 )
& ( ( X0 != sz10
& X0 != smndt0(sz10) )
| ! [X1] :
( ~ aDivisorOf0(X1,X0)
| ~ isPrime0(X1) ) ) )
| ~ aInteger0(X0) ),
inference(nnf_transformation,[],[f87]) ).
fof(f118,plain,
! [X0] :
( ( ( ? [X1] :
( aDivisorOf0(X1,X0)
& isPrime0(X1) )
| sz10 = X0
| smndt0(sz10) = X0 )
& ( ( X0 != sz10
& X0 != smndt0(sz10) )
| ! [X1] :
( ~ aDivisorOf0(X1,X0)
| ~ isPrime0(X1) ) ) )
| ~ aInteger0(X0) ),
inference(flattening,[],[f117]) ).
fof(f119,plain,
! [X0] :
( ( ( ? [X1] :
( aDivisorOf0(X1,X0)
& isPrime0(X1) )
| sz10 = X0
| smndt0(sz10) = X0 )
& ( ( X0 != sz10
& X0 != smndt0(sz10) )
| ! [X2] :
( ~ aDivisorOf0(X2,X0)
| ~ isPrime0(X2) ) ) )
| ~ aInteger0(X0) ),
inference(rectify,[],[f118]) ).
fof(f120,plain,
! [X0] :
( ( ( ( aDivisorOf0(sK1(X0),X0)
& isPrime0(sK1(X0)) )
| sz10 = X0
| smndt0(sz10) = X0 )
& ( ( X0 != sz10
& X0 != smndt0(sz10) )
| ! [X2] :
( ~ aDivisorOf0(X2,X0)
| ~ isPrime0(X2) ) ) )
| ~ aInteger0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X1,sK1(X0))],[f119]) ).
fof(f137,plain,
! [X0] :
( ! [X1] :
( ( X1 = stldt0(X0)
| ~ aSet0(X1)
| ? [X2] :
( ( ~ aInteger0(X2)
| aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& ( ( aInteger0(X2)
& ~ aElementOf0(X2,X0) )
| aElementOf0(X2,X1) ) ) )
& ( ( aSet0(X1)
& ! [X2] :
( ( aElementOf0(X2,X1)
| ~ aInteger0(X2)
| aElementOf0(X2,X0) )
& ( ( aInteger0(X2)
& ~ aElementOf0(X2,X0) )
| ~ aElementOf0(X2,X1) ) ) )
| stldt0(X0) != X1 ) )
| ~ aSubsetOf0(X0,cS1395) ),
inference(nnf_transformation,[],[f95]) ).
fof(f138,plain,
! [X0] :
( ! [X1] :
( ( X1 = stldt0(X0)
| ~ aSet0(X1)
| ? [X2] :
( ( ~ aInteger0(X2)
| aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& ( ( aInteger0(X2)
& ~ aElementOf0(X2,X0) )
| aElementOf0(X2,X1) ) ) )
& ( ( aSet0(X1)
& ! [X2] :
( ( aElementOf0(X2,X1)
| ~ aInteger0(X2)
| aElementOf0(X2,X0) )
& ( ( aInteger0(X2)
& ~ aElementOf0(X2,X0) )
| ~ aElementOf0(X2,X1) ) ) )
| stldt0(X0) != X1 ) )
| ~ aSubsetOf0(X0,cS1395) ),
inference(flattening,[],[f137]) ).
fof(f139,plain,
! [X0] :
( ! [X1] :
( ( X1 = stldt0(X0)
| ~ aSet0(X1)
| ? [X2] :
( ( ~ aInteger0(X2)
| aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& ( ( aInteger0(X2)
& ~ aElementOf0(X2,X0) )
| aElementOf0(X2,X1) ) ) )
& ( ( aSet0(X1)
& ! [X3] :
( ( aElementOf0(X3,X1)
| ~ aInteger0(X3)
| aElementOf0(X3,X0) )
& ( ( aInteger0(X3)
& ~ aElementOf0(X3,X0) )
| ~ aElementOf0(X3,X1) ) ) )
| stldt0(X0) != X1 ) )
| ~ aSubsetOf0(X0,cS1395) ),
inference(rectify,[],[f138]) ).
fof(f140,plain,
! [X0] :
( ! [X1] :
( ( X1 = stldt0(X0)
| ~ aSet0(X1)
| ( ( ~ aInteger0(sK9(X0,X1))
| aElementOf0(sK9(X0,X1),X0)
| ~ aElementOf0(sK9(X0,X1),X1) )
& ( ( aInteger0(sK9(X0,X1))
& ~ aElementOf0(sK9(X0,X1),X0) )
| aElementOf0(sK9(X0,X1),X1) ) ) )
& ( ( aSet0(X1)
& ! [X3] :
( ( aElementOf0(X3,X1)
| ~ aInteger0(X3)
| aElementOf0(X3,X0) )
& ( ( aInteger0(X3)
& ~ aElementOf0(X3,X0) )
| ~ aElementOf0(X3,X1) ) ) )
| stldt0(X0) != X1 ) )
| ~ aSubsetOf0(X0,cS1395) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X2,sK9(X0,X1))],[f139]) ).
fof(f141,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = szAzrzSzezqlpdtcmdtrp0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
| ~ aElementOf0(X3,X2) )
& ( ( aInteger0(X3)
& sdteqdtlpzmzozddtrp0(X3,X0,X1) )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X3,X0,X1) )
& ( ( aInteger0(X3)
& sdteqdtlpzmzozddtrp0(X3,X0,X1) )
| ~ aElementOf0(X3,X2) ) ) )
| szAzrzSzezqlpdtcmdtrp0(X0,X1) != X2 ) )
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(nnf_transformation,[],[f97]) ).
fof(f142,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = szAzrzSzezqlpdtcmdtrp0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
| ~ aElementOf0(X3,X2) )
& ( ( aInteger0(X3)
& sdteqdtlpzmzozddtrp0(X3,X0,X1) )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X3,X0,X1) )
& ( ( aInteger0(X3)
& sdteqdtlpzmzozddtrp0(X3,X0,X1) )
| ~ aElementOf0(X3,X2) ) ) )
| szAzrzSzezqlpdtcmdtrp0(X0,X1) != X2 ) )
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(flattening,[],[f141]) ).
fof(f143,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = szAzrzSzezqlpdtcmdtrp0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
| ~ aElementOf0(X3,X2) )
& ( ( aInteger0(X3)
& sdteqdtlpzmzozddtrp0(X3,X0,X1) )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aInteger0(X4)
| ~ sdteqdtlpzmzozddtrp0(X4,X0,X1) )
& ( ( aInteger0(X4)
& sdteqdtlpzmzozddtrp0(X4,X0,X1) )
| ~ aElementOf0(X4,X2) ) ) )
| szAzrzSzezqlpdtcmdtrp0(X0,X1) != X2 ) )
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(rectify,[],[f142]) ).
fof(f144,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = szAzrzSzezqlpdtcmdtrp0(X0,X1)
| ~ aSet0(X2)
| ( ( ~ aInteger0(sK10(X0,X1,X2))
| ~ sdteqdtlpzmzozddtrp0(sK10(X0,X1,X2),X0,X1)
| ~ aElementOf0(sK10(X0,X1,X2),X2) )
& ( ( aInteger0(sK10(X0,X1,X2))
& sdteqdtlpzmzozddtrp0(sK10(X0,X1,X2),X0,X1) )
| aElementOf0(sK10(X0,X1,X2),X2) ) ) )
& ( ( aSet0(X2)
& ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aInteger0(X4)
| ~ sdteqdtlpzmzozddtrp0(X4,X0,X1) )
& ( ( aInteger0(X4)
& sdteqdtlpzmzozddtrp0(X4,X0,X1) )
| ~ aElementOf0(X4,X2) ) ) )
| szAzrzSzezqlpdtcmdtrp0(X0,X1) != X2 ) )
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X3,sK10(X0,X1,X2))],[f143]) ).
fof(f150,plain,
( aSet0(xS)
& ! [X0] :
( ( ( aInteger0(sK14(X0))
& sz00 != sK14(X0)
& isPrime0(sK14(X0))
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,sK14(X0)))
& ! [X2] :
( ( ( aInteger0(X2)
& aInteger0(sK15(X0,X2))
& sdtpldt0(X2,smndt0(sz00)) = sdtasdt0(sK14(X0),sK15(X0,X2))
& aDivisorOf0(sK14(X0),sdtpldt0(X2,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X2,sz00,sK14(X0)) )
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,sK14(X0))) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,sK14(X0)))
| ~ aInteger0(X2)
| ( ! [X4] :
( ~ aInteger0(X4)
| sdtpldt0(X2,smndt0(sz00)) != sdtasdt0(sK14(X0),X4) )
& ~ aDivisorOf0(sK14(X0),sdtpldt0(X2,smndt0(sz00)))
& ~ sdteqdtlpzmzozddtrp0(X2,sz00,sK14(X0)) ) ) )
& szAzrzSzezqlpdtcmdtrp0(sz00,sK14(X0)) = X0 )
| ~ aElementOf0(X0,xS) )
& ( aElementOf0(X0,xS)
| ! [X5] :
( ~ aInteger0(X5)
| sz00 = X5
| ~ isPrime0(X5)
| ( szAzrzSzezqlpdtcmdtrp0(sz00,X5) != X0
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X5))
& ! [X6] :
( ( ( aInteger0(X6)
& aInteger0(sK16(X5,X6))
& sdtpldt0(X6,smndt0(sz00)) = sdtasdt0(X5,sK16(X5,X6))
& aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X6,sz00,X5) )
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5)) )
& ( aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| ~ aInteger0(X6)
| ( ! [X8] :
( ~ aInteger0(X8)
| sdtpldt0(X6,smndt0(sz00)) != sdtasdt0(X5,X8) )
& ~ aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& ~ sdteqdtlpzmzozddtrp0(X6,sz00,X5) ) ) ) ) ) ) )
& xS = cS2043 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15,sK16]),skolemize(X1,sK14(X0)),skolemize(X3,sK15(X0,X2)),skolemize(X7,sK16(X5,X6))],[f109]) ).
fof(f151,plain,
( ? [X3] :
( ( ( sz10 != X3
& smndt0(sz10) != X3 )
| ~ aElementOf0(X3,stldt0(sbsmnsldt0(xS))) )
& ( sz10 = X3
| smndt0(sz10) = X3
| aElementOf0(X3,stldt0(sbsmnsldt0(xS))) ) )
& stldt0(sbsmnsldt0(xS)) != cS2076
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X2] :
( ( aElementOf0(X2,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X2)
| aElementOf0(X2,sbsmnsldt0(xS)) )
& ( ( aInteger0(X2)
& ~ aElementOf0(X2,sbsmnsldt0(xS)) )
| ~ aElementOf0(X2,stldt0(sbsmnsldt0(xS))) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X0] :
( ( aElementOf0(X0,sbsmnsldt0(xS))
| ~ aInteger0(X0)
| ! [X1] :
( ~ aElementOf0(X1,xS)
| ~ aElementOf0(X0,X1) ) )
& ( ( aInteger0(X0)
& ? [X1] :
( aElementOf0(X1,xS)
& aElementOf0(X0,X1) ) )
| ~ aElementOf0(X0,sbsmnsldt0(xS)) ) ) ),
inference(nnf_transformation,[],[f111]) ).
fof(f152,plain,
( ? [X3] :
( ( ( sz10 != X3
& smndt0(sz10) != X3 )
| ~ aElementOf0(X3,stldt0(sbsmnsldt0(xS))) )
& ( sz10 = X3
| smndt0(sz10) = X3
| aElementOf0(X3,stldt0(sbsmnsldt0(xS))) ) )
& stldt0(sbsmnsldt0(xS)) != cS2076
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X2] :
( ( aElementOf0(X2,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X2)
| aElementOf0(X2,sbsmnsldt0(xS)) )
& ( ( aInteger0(X2)
& ~ aElementOf0(X2,sbsmnsldt0(xS)) )
| ~ aElementOf0(X2,stldt0(sbsmnsldt0(xS))) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X0] :
( ( aElementOf0(X0,sbsmnsldt0(xS))
| ~ aInteger0(X0)
| ! [X1] :
( ~ aElementOf0(X1,xS)
| ~ aElementOf0(X0,X1) ) )
& ( ( aInteger0(X0)
& ? [X1] :
( aElementOf0(X1,xS)
& aElementOf0(X0,X1) ) )
| ~ aElementOf0(X0,sbsmnsldt0(xS)) ) ) ),
inference(flattening,[],[f151]) ).
fof(f153,plain,
( ? [X0] :
( ( ( sz10 != X0
& smndt0(sz10) != X0 )
| ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS))) )
& ( sz10 = X0
| smndt0(sz10) = X0
| aElementOf0(X0,stldt0(sbsmnsldt0(xS))) ) )
& stldt0(sbsmnsldt0(xS)) != cS2076
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X1] :
( ( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X1)
| aElementOf0(X1,sbsmnsldt0(xS)) )
& ( ( aInteger0(X1)
& ~ aElementOf0(X1,sbsmnsldt0(xS)) )
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X2] :
( ( aElementOf0(X2,sbsmnsldt0(xS))
| ~ aInteger0(X2)
| ! [X3] :
( ~ aElementOf0(X3,xS)
| ~ aElementOf0(X2,X3) ) )
& ( ( aInteger0(X2)
& ? [X4] :
( aElementOf0(X4,xS)
& aElementOf0(X2,X4) ) )
| ~ aElementOf0(X2,sbsmnsldt0(xS)) ) ) ),
inference(rectify,[],[f152]) ).
fof(f154,plain,
( ( ( sz10 != sK17
& smndt0(sz10) != sK17 )
| ~ aElementOf0(sK17,stldt0(sbsmnsldt0(xS))) )
& ( sz10 = sK17
| smndt0(sz10) = sK17
| aElementOf0(sK17,stldt0(sbsmnsldt0(xS))) )
& stldt0(sbsmnsldt0(xS)) != cS2076
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X1] :
( ( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X1)
| aElementOf0(X1,sbsmnsldt0(xS)) )
& ( ( aInteger0(X1)
& ~ aElementOf0(X1,sbsmnsldt0(xS)) )
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X2] :
( ( aElementOf0(X2,sbsmnsldt0(xS))
| ~ aInteger0(X2)
| ! [X3] :
( ~ aElementOf0(X3,xS)
| ~ aElementOf0(X2,X3) ) )
& ( ( aInteger0(X2)
& aElementOf0(sK18(X2),xS)
& aElementOf0(X2,sK18(X2)) )
| ~ aElementOf0(X2,sbsmnsldt0(xS)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17,sK18]),skolemize(X0,sK17),skolemize(X4,sK18(X2))],[f153]) ).
fof(f155,plain,
aInteger0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f156,plain,
aInteger0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f157,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f163,plain,
! [X0] :
( sdtpldt0(X0,sz00) = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f172,plain,
! [X0] :
( sz00 = sdtasdt0(sz00,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f173,plain,
! [X0] :
( sz00 = sdtasdt0(X0,sz00)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f174,plain,
! [X0] :
( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f179,plain,
! [X0,X1] :
( sz00 != X1
| ~ aDivisorOf0(X1,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f180,plain,
! [X0,X1] :
( aInteger0(X1)
| ~ aDivisorOf0(X1,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f183,plain,
! [X2,X0,X1] :
( sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1)))
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sz00 = X2 ),
inference(cnf_transformation,[],[f116]) ).
fof(f189,plain,
! [X2,X0] :
( smndt0(sz10) != X0
| ~ aDivisorOf0(X2,X0)
| ~ isPrime0(X2)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f190,plain,
! [X2,X0] :
( sz10 != X0
| ~ aDivisorOf0(X2,X0)
| ~ isPrime0(X2)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f191,plain,
! [X0] :
( isPrime0(sK1(X0))
| sz10 = X0
| smndt0(sz10) = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f192,plain,
! [X0] :
( aDivisorOf0(sK1(X0),X0)
| sz10 = X0
| smndt0(sz10) = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f233,plain,
! [X3,X0,X1] :
( ~ aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| stldt0(X0) != X1
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f140]) ).
fof(f240,plain,
! [X2,X0,X1,X4] :
( sdteqdtlpzmzozddtrp0(X4,X0,X1)
| ~ aElementOf0(X4,X2)
| szAzrzSzezqlpdtcmdtrp0(X0,X1) != X2
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(cnf_transformation,[],[f144]) ).
fof(f241,plain,
! [X2,X0,X1,X4] :
( aInteger0(X4)
| ~ aElementOf0(X4,X2)
| szAzrzSzezqlpdtcmdtrp0(X0,X1) != X2
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(cnf_transformation,[],[f144]) ).
fof(f242,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aInteger0(X4)
| ~ sdteqdtlpzmzozddtrp0(X4,X0,X1)
| szAzrzSzezqlpdtcmdtrp0(X0,X1) != X2
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(cnf_transformation,[],[f144]) ).
fof(f259,plain,
! [X0,X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),cS1395)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(cnf_transformation,[],[f107]) ).
fof(f260,plain,
xS = cS2043,
inference(cnf_transformation,[],[f150]) ).
fof(f261,plain,
! [X0,X6,X5] :
( aElementOf0(X0,xS)
| ~ aInteger0(X5)
| sz00 = X5
| ~ isPrime0(X5)
| aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| ~ aInteger0(X6)
| ~ sdteqdtlpzmzozddtrp0(X6,sz00,X5) ),
inference(cnf_transformation,[],[f150]) ).
fof(f265,plain,
! [X0,X6,X5] :
( aElementOf0(X0,xS)
| ~ aInteger0(X5)
| sz00 = X5
| ~ isPrime0(X5)
| aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5)) ),
inference(cnf_transformation,[],[f150]) ).
fof(f270,plain,
! [X0,X5] :
( aElementOf0(X0,xS)
| ~ aInteger0(X5)
| sz00 = X5
| ~ isPrime0(X5)
| szAzrzSzezqlpdtcmdtrp0(sz00,X5) != X0 ),
inference(cnf_transformation,[],[f150]) ).
fof(f271,plain,
! [X0] :
( szAzrzSzezqlpdtcmdtrp0(sz00,sK14(X0)) = X0
| ~ aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f150]) ).
fof(f274,plain,
! [X2,X0,X4] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,sK14(X0)))
| ~ aInteger0(X2)
| ~ aInteger0(X4)
| sdtpldt0(X2,smndt0(sz00)) != sdtasdt0(sK14(X0),X4)
| ~ aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f150]) ).
fof(f281,plain,
! [X0] :
( isPrime0(sK14(X0))
| ~ aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f150]) ).
fof(f282,plain,
! [X0] :
( sz00 != sK14(X0)
| ~ aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f150]) ).
fof(f283,plain,
! [X0] :
( aInteger0(sK14(X0))
| ~ aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f150]) ).
fof(f285,plain,
! [X2] :
( aElementOf0(X2,sK18(X2))
| ~ aElementOf0(X2,sbsmnsldt0(xS)) ),
inference(cnf_transformation,[],[f154]) ).
fof(f286,plain,
! [X2] :
( aElementOf0(sK18(X2),xS)
| ~ aElementOf0(X2,sbsmnsldt0(xS)) ),
inference(cnf_transformation,[],[f154]) ).
fof(f288,plain,
! [X2,X3] :
( aElementOf0(X2,sbsmnsldt0(xS))
| ~ aInteger0(X2)
| ~ aElementOf0(X3,xS)
| ~ aElementOf0(X2,X3) ),
inference(cnf_transformation,[],[f154]) ).
fof(f290,plain,
! [X1] :
( ~ aElementOf0(X1,sbsmnsldt0(xS))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(cnf_transformation,[],[f154]) ).
fof(f291,plain,
! [X1] :
( aInteger0(X1)
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(cnf_transformation,[],[f154]) ).
fof(f292,plain,
! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X1)
| aElementOf0(X1,sbsmnsldt0(xS)) ),
inference(cnf_transformation,[],[f154]) ).
fof(f295,plain,
( sz10 = sK17
| smndt0(sz10) = sK17
| aElementOf0(sK17,stldt0(sbsmnsldt0(xS))) ),
inference(cnf_transformation,[],[f154]) ).
fof(f296,plain,
( smndt0(sz10) != sK17
| ~ aElementOf0(sK17,stldt0(sbsmnsldt0(xS))) ),
inference(cnf_transformation,[],[f154]) ).
fof(f297,plain,
( sz10 != sK17
| ~ aElementOf0(sK17,stldt0(sbsmnsldt0(xS))) ),
inference(cnf_transformation,[],[f154]) ).
fof(f299,plain,
! [X0] :
( aInteger0(sK14(X0))
| ~ aElementOf0(X0,cS2043) ),
inference(definition_unfolding,[],[f283,f260]) ).
fof(f300,plain,
! [X0] :
( sz00 != sK14(X0)
| ~ aElementOf0(X0,cS2043) ),
inference(definition_unfolding,[],[f282,f260]) ).
fof(f301,plain,
! [X0] :
( isPrime0(sK14(X0))
| ~ aElementOf0(X0,cS2043) ),
inference(definition_unfolding,[],[f281,f260]) ).
fof(f308,plain,
! [X2,X0,X4] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,sK14(X0)))
| ~ aInteger0(X2)
| ~ aInteger0(X4)
| sdtpldt0(X2,smndt0(sz00)) != sdtasdt0(sK14(X0),X4)
| ~ aElementOf0(X0,cS2043) ),
inference(definition_unfolding,[],[f274,f260]) ).
fof(f311,plain,
! [X0] :
( szAzrzSzezqlpdtcmdtrp0(sz00,sK14(X0)) = X0
| ~ aElementOf0(X0,cS2043) ),
inference(definition_unfolding,[],[f271,f260]) ).
fof(f312,plain,
! [X0,X5] :
( aElementOf0(X0,cS2043)
| ~ aInteger0(X5)
| sz00 = X5
| ~ isPrime0(X5)
| szAzrzSzezqlpdtcmdtrp0(sz00,X5) != X0 ),
inference(definition_unfolding,[],[f270,f260]) ).
fof(f317,plain,
! [X0,X6,X5] :
( aElementOf0(X0,cS2043)
| ~ aInteger0(X5)
| sz00 = X5
| ~ isPrime0(X5)
| aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5)) ),
inference(definition_unfolding,[],[f265,f260]) ).
fof(f321,plain,
! [X0,X6,X5] :
( aElementOf0(X0,cS2043)
| ~ aInteger0(X5)
| sz00 = X5
| ~ isPrime0(X5)
| aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| ~ aInteger0(X6)
| ~ sdteqdtlpzmzozddtrp0(X6,sz00,X5) ),
inference(definition_unfolding,[],[f261,f260]) ).
fof(f322,plain,
( sz10 != sK17
| ~ aElementOf0(sK17,stldt0(sbsmnsldt0(cS2043))) ),
inference(definition_unfolding,[],[f297,f260]) ).
fof(f323,plain,
( smndt0(sz10) != sK17
| ~ aElementOf0(sK17,stldt0(sbsmnsldt0(cS2043))) ),
inference(definition_unfolding,[],[f296,f260]) ).
fof(f324,plain,
( sz10 = sK17
| smndt0(sz10) = sK17
| aElementOf0(sK17,stldt0(sbsmnsldt0(cS2043))) ),
inference(definition_unfolding,[],[f295,f260]) ).
fof(f327,plain,
! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(cS2043)))
| ~ aInteger0(X1)
| aElementOf0(X1,sbsmnsldt0(cS2043)) ),
inference(definition_unfolding,[],[f292,f260,f260]) ).
fof(f328,plain,
! [X1] :
( aInteger0(X1)
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(cS2043))) ),
inference(definition_unfolding,[],[f291,f260]) ).
fof(f329,plain,
! [X1] :
( ~ aElementOf0(X1,sbsmnsldt0(cS2043))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(cS2043))) ),
inference(definition_unfolding,[],[f290,f260,f260]) ).
fof(f331,plain,
! [X2,X3] :
( aElementOf0(X2,sbsmnsldt0(cS2043))
| ~ aInteger0(X2)
| ~ aElementOf0(X3,cS2043)
| ~ aElementOf0(X2,X3) ),
inference(definition_unfolding,[],[f288,f260,f260]) ).
fof(f333,plain,
! [X2] :
( aElementOf0(sK18(X2),cS2043)
| ~ aElementOf0(X2,sbsmnsldt0(cS2043)) ),
inference(definition_unfolding,[],[f286,f260,f260]) ).
fof(f334,plain,
! [X2] :
( aElementOf0(X2,sK18(X2))
| ~ aElementOf0(X2,sbsmnsldt0(cS2043)) ),
inference(definition_unfolding,[],[f285,f260]) ).
fof(f336,plain,
! [X0] :
( ~ aDivisorOf0(sz00,X0)
| ~ aInteger0(X0) ),
inference(equality_resolution,[],[f179]) ).
fof(f337,plain,
! [X2] :
( ~ aDivisorOf0(X2,sz10)
| ~ isPrime0(X2)
| ~ aInteger0(sz10) ),
inference(equality_resolution,[],[f190]) ).
fof(f338,plain,
! [X2] :
( ~ aDivisorOf0(X2,smndt0(sz10))
| ~ isPrime0(X2)
| ~ aInteger0(smndt0(sz10)) ),
inference(equality_resolution,[],[f189]) ).
fof(f362,plain,
! [X3,X0] :
( ~ aElementOf0(X3,X0)
| ~ aElementOf0(X3,stldt0(X0))
| ~ aSubsetOf0(X0,cS1395) ),
inference(equality_resolution,[],[f233]) ).
fof(f364,plain,
! [X0,X1,X4] :
( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ~ aInteger0(X4)
| ~ sdteqdtlpzmzozddtrp0(X4,X0,X1)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(equality_resolution,[],[f242]) ).
fof(f365,plain,
! [X0,X1,X4] :
( aInteger0(X4)
| ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(equality_resolution,[],[f241]) ).
fof(f366,plain,
! [X0,X1,X4] :
( sdteqdtlpzmzozddtrp0(X4,X0,X1)
| ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(equality_resolution,[],[f240]) ).
fof(f367,plain,
! [X5] :
( aElementOf0(szAzrzSzezqlpdtcmdtrp0(sz00,X5),cS2043)
| ~ aInteger0(X5)
| sz00 = X5
| ~ isPrime0(X5) ),
inference(equality_resolution,[],[f312]) ).
fof(f376,plain,
! [X0] :
( aElementOf0(X0,cS2043)
| sP23 ),
inference(cnf_transformation,[],[f376_D]) ).
fof(f376_D,definition,
( ! [X0] : aElementOf0(X0,cS2043)
<=> ~ sP23 ),
introduced(definition,[new_symbols(definition,[sP23])],[general_splitting_component_introduction]) ).
fof(f377,plain,
! [X6,X5] :
( ~ aInteger0(X5)
| sz00 = X5
| ~ isPrime0(X5)
| aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| ~ sP23 ),
inference(general_splitting,[],[f317,f376_D]) ).
fof(f384,plain,
! [X0] :
( aElementOf0(X0,cS2043)
| sP27 ),
inference(cnf_transformation,[],[f384_D]) ).
fof(f384_D,definition,
( ! [X0] : aElementOf0(X0,cS2043)
<=> ~ sP27 ),
introduced(definition,[new_symbols(definition,[sP27])],[general_splitting_component_introduction]) ).
fof(f385,plain,
! [X6,X5] :
( ~ aInteger0(X5)
| sz00 = X5
| ~ isPrime0(X5)
| aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| ~ aInteger0(X6)
| ~ sdteqdtlpzmzozddtrp0(X6,sz00,X5)
| ~ sP27 ),
inference(general_splitting,[],[f321,f384_D]) ).
fof(f387,definition,
( spl28_1
<=> ! [X1] :
( ~ aElementOf0(X1,sbsmnsldt0(cS2043))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(cS2043))) ) ),
introduced(definition,[new_symbols(definition,[spl28_1])],[avatar_definition]) ).
fof(f388,plain,
( ! [X1] :
( ~ aElementOf0(X1,stldt0(sbsmnsldt0(cS2043)))
| ~ aElementOf0(X1,sbsmnsldt0(cS2043)) )
| ~ spl28_1 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f389,plain,
spl28_1,
inference(avatar_split_clause,[],[f329,f387]) ).
fof(f480,definition,
( spl28_2
<=> aElementOf0(sK17,stldt0(sbsmnsldt0(cS2043))) ),
introduced(definition,[new_symbols(definition,[spl28_2])],[avatar_definition]) ).
fof(f481,plain,
( aElementOf0(sK17,stldt0(sbsmnsldt0(cS2043)))
| ~ spl28_2 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f482,plain,
( ~ aElementOf0(sK17,stldt0(sbsmnsldt0(cS2043)))
| spl28_2 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f484,definition,
( spl28_3
<=> smndt0(sz10) = sK17 ),
introduced(definition,[new_symbols(definition,[spl28_3])],[avatar_definition]) ).
fof(f485,plain,
( smndt0(sz10) = sK17
| ~ spl28_3 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f486,plain,
( smndt0(sz10) != sK17
| spl28_3 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f487,plain,
( ~ spl28_2
| ~ spl28_3 ),
inference(avatar_split_clause,[],[f323,f484,f480]) ).
fof(f488,plain,
( sz10 = sK17
| smndt0(sz10) = sK17
| spl28_2 ),
inference(backward_subsumption_resolution,[],[f324,f482]) ).
fof(f517,definition,
( spl28_4
<=> sz10 = sK17 ),
introduced(definition,[new_symbols(definition,[spl28_4])],[avatar_definition]) ).
fof(f518,plain,
( sz10 = sK17
| ~ spl28_4 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f519,plain,
( sz10 != sK17
| spl28_4 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f520,plain,
( ~ spl28_2
| ~ spl28_4 ),
inference(avatar_split_clause,[],[f322,f517,f480]) ).
fof(f705,definition,
( spl28_8
<=> ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(cS2043)))
| ~ aInteger0(X1)
| aElementOf0(X1,sbsmnsldt0(cS2043)) ) ),
introduced(definition,[new_symbols(definition,[spl28_8])],[avatar_definition]) ).
fof(f706,plain,
( ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(cS2043)))
| ~ aInteger0(X1)
| aElementOf0(X1,sbsmnsldt0(cS2043)) )
| ~ spl28_8 ),
inference(avatar_component_clause,[],[f705]) ).
fof(f707,plain,
spl28_8,
inference(avatar_split_clause,[],[f327,f705]) ).
fof(f741,plain,
( ~ aInteger0(sK17)
| aElementOf0(sK17,sbsmnsldt0(cS2043))
| spl28_2
| ~ spl28_8 ),
inference(resolution,[],[f706,f482]) ).
fof(f802,definition,
( spl28_9
<=> ! [X2] :
( aElementOf0(X2,sK18(X2))
| ~ aElementOf0(X2,sbsmnsldt0(cS2043)) ) ),
introduced(definition,[new_symbols(definition,[spl28_9])],[avatar_definition]) ).
fof(f803,plain,
( ! [X2] :
( ~ aElementOf0(X2,sbsmnsldt0(cS2043))
| aElementOf0(X2,sK18(X2)) )
| ~ spl28_9 ),
inference(avatar_component_clause,[],[f802]) ).
fof(f804,plain,
spl28_9,
inference(avatar_split_clause,[],[f334,f802]) ).
fof(f893,definition,
( spl28_10
<=> ! [X2,X3] :
( aElementOf0(X2,sbsmnsldt0(cS2043))
| ~ aInteger0(X2)
| ~ aElementOf0(X3,cS2043)
| ~ aElementOf0(X2,X3) ) ),
introduced(definition,[new_symbols(definition,[spl28_10])],[avatar_definition]) ).
fof(f894,plain,
( ! [X2,X3] :
( aElementOf0(X2,sbsmnsldt0(cS2043))
| ~ aInteger0(X2)
| ~ aElementOf0(X3,cS2043)
| ~ aElementOf0(X2,X3) )
| ~ spl28_10 ),
inference(avatar_component_clause,[],[f893]) ).
fof(f895,plain,
spl28_10,
inference(avatar_split_clause,[],[f331,f893]) ).
fof(f1080,plain,
( spl28_3
| spl28_4
| spl28_2 ),
inference(avatar_split_clause,[],[f488,f480,f517,f484]) ).
fof(f1081,plain,
( ~ aElementOf0(sz10,stldt0(sbsmnsldt0(cS2043)))
| spl28_2
| ~ spl28_4 ),
inference(superposition,[],[f482,f518]) ).
fof(f1083,definition,
( spl28_12
<=> ! [X1] :
( aInteger0(X1)
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(cS2043))) ) ),
introduced(definition,[new_symbols(definition,[spl28_12])],[avatar_definition]) ).
fof(f1084,plain,
( ! [X1] :
( ~ aElementOf0(X1,stldt0(sbsmnsldt0(cS2043)))
| aInteger0(X1) )
| ~ spl28_12 ),
inference(avatar_component_clause,[],[f1083]) ).
fof(f1085,plain,
spl28_12,
inference(avatar_split_clause,[],[f328,f1083]) ).
fof(f1172,definition,
( spl28_13
<=> ! [X2] :
( aElementOf0(sK18(X2),cS2043)
| ~ aElementOf0(X2,sbsmnsldt0(cS2043)) ) ),
introduced(definition,[new_symbols(definition,[spl28_13])],[avatar_definition]) ).
fof(f1173,plain,
( ! [X2] :
( ~ aElementOf0(X2,sbsmnsldt0(cS2043))
| aElementOf0(sK18(X2),cS2043) )
| ~ spl28_13 ),
inference(avatar_component_clause,[],[f1172]) ).
fof(f1174,plain,
spl28_13,
inference(avatar_split_clause,[],[f333,f1172]) ).
fof(f1268,definition,
( spl28_15
<=> aElementOf0(sz10,stldt0(sbsmnsldt0(cS2043))) ),
introduced(definition,[new_symbols(definition,[spl28_15])],[avatar_definition]) ).
fof(f1270,plain,
( ~ aElementOf0(sz10,stldt0(sbsmnsldt0(cS2043)))
| spl28_15 ),
inference(avatar_component_clause,[],[f1268]) ).
fof(f1271,plain,
( ~ spl28_15
| spl28_2
| ~ spl28_4 ),
inference(avatar_split_clause,[],[f1081,f517,f480,f1268]) ).
fof(f1272,plain,
( ~ aInteger0(sz10)
| aElementOf0(sz10,sbsmnsldt0(cS2043))
| ~ spl28_8
| spl28_15 ),
inference(resolution,[],[f1270,f706]) ).
fof(f1306,plain,
( aElementOf0(sz10,sbsmnsldt0(cS2043))
| ~ spl28_8
| spl28_15 ),
inference(forward_subsumption_resolution,[],[f1272,f156]) ).
fof(f1308,definition,
( spl28_16
<=> aElementOf0(sz10,sbsmnsldt0(cS2043)) ),
introduced(definition,[new_symbols(definition,[spl28_16])],[avatar_definition]) ).
fof(f1310,plain,
( aElementOf0(sz10,sbsmnsldt0(cS2043))
| ~ spl28_16 ),
inference(avatar_component_clause,[],[f1308]) ).
fof(f1311,plain,
( spl28_16
| ~ spl28_8
| spl28_15 ),
inference(avatar_split_clause,[],[f1306,f1268,f705,f1308]) ).
fof(f1312,plain,
( aElementOf0(sK18(sz10),cS2043)
| ~ spl28_13
| ~ spl28_16 ),
inference(resolution,[],[f1310,f1173]) ).
fof(f1314,plain,
( aElementOf0(sz10,sK18(sz10))
| ~ spl28_9
| ~ spl28_16 ),
inference(resolution,[],[f1310,f803]) ).
fof(f1369,definition,
( spl28_17
<=> aElementOf0(sz10,sK18(sz10)) ),
introduced(definition,[new_symbols(definition,[spl28_17])],[avatar_definition]) ).
fof(f1371,plain,
( aElementOf0(sz10,sK18(sz10))
| ~ spl28_17 ),
inference(avatar_component_clause,[],[f1369]) ).
fof(f1372,plain,
( spl28_17
| ~ spl28_9
| ~ spl28_16 ),
inference(avatar_split_clause,[],[f1314,f1308,f802,f1369]) ).
fof(f1373,plain,
( aInteger0(sK17)
| ~ spl28_2
| ~ spl28_12 ),
inference(resolution,[],[f481,f1084]) ).
fof(f1374,plain,
( ~ aElementOf0(sK17,sbsmnsldt0(cS2043))
| ~ spl28_1
| ~ spl28_2 ),
inference(resolution,[],[f481,f388]) ).
fof(f1426,definition,
( spl28_18
<=> aElementOf0(sK17,sbsmnsldt0(cS2043)) ),
introduced(definition,[new_symbols(definition,[spl28_18])],[avatar_definition]) ).
fof(f1427,plain,
( aElementOf0(sK17,sbsmnsldt0(cS2043))
| ~ spl28_18 ),
inference(avatar_component_clause,[],[f1426]) ).
fof(f1428,plain,
( ~ aElementOf0(sK17,sbsmnsldt0(cS2043))
| spl28_18 ),
inference(avatar_component_clause,[],[f1426]) ).
fof(f1429,plain,
( ~ spl28_18
| ~ spl28_1
| ~ spl28_2 ),
inference(avatar_split_clause,[],[f1374,f480,f387,f1426]) ).
fof(f1430,plain,
( ! [X0] :
( ~ aInteger0(sK17)
| ~ aElementOf0(X0,cS2043)
| ~ aElementOf0(sK17,X0) )
| ~ spl28_10
| spl28_18 ),
inference(resolution,[],[f1428,f894]) ).
fof(f1458,plain,
( ! [X0] :
( ~ aElementOf0(X0,cS2043)
| ~ aElementOf0(sK17,X0) )
| ~ spl28_2
| ~ spl28_10
| ~ spl28_12
| spl28_18 ),
inference(forward_subsumption_resolution,[],[f1430,f1373]) ).
fof(f1462,definition,
( spl28_19
<=> ! [X0] :
( ~ aElementOf0(X0,cS2043)
| ~ aElementOf0(sK17,X0) ) ),
introduced(definition,[new_symbols(definition,[spl28_19])],[avatar_definition]) ).
fof(f1463,plain,
( ! [X0] :
( ~ aElementOf0(sK17,X0)
| ~ aElementOf0(X0,cS2043) )
| ~ spl28_19 ),
inference(avatar_component_clause,[],[f1462]) ).
fof(f1464,plain,
( spl28_19
| ~ spl28_2
| ~ spl28_10
| ~ spl28_12
| spl28_18 ),
inference(avatar_split_clause,[],[f1458,f1426,f1083,f893,f480,f1462]) ).
fof(f1524,definition,
( spl28_21
<=> aInteger0(sK17) ),
introduced(definition,[new_symbols(definition,[spl28_21])],[avatar_definition]) ).
fof(f1525,plain,
( ~ aInteger0(sK17)
| spl28_21 ),
inference(avatar_component_clause,[],[f1524]) ).
fof(f1526,plain,
( aInteger0(sK17)
| ~ spl28_21 ),
inference(avatar_component_clause,[],[f1524]) ).
fof(f1527,plain,
( spl28_21
| ~ spl28_2
| ~ spl28_12 ),
inference(avatar_split_clause,[],[f1373,f1083,f480,f1524]) ).
fof(f1539,plain,
( sK17 = sdtpldt0(sK17,sz00)
| ~ spl28_21 ),
inference(resolution,[],[f1526,f163]) ).
fof(f1563,plain,
( ! [X0] :
( aInteger0(X0)
| ~ aDivisorOf0(X0,sK17) )
| ~ spl28_21 ),
inference(resolution,[],[f1526,f180]) ).
fof(f1587,plain,
( isPrime0(sK1(sK17))
| sz10 = sK17
| smndt0(sz10) = sK17
| ~ spl28_21 ),
inference(resolution,[],[f1526,f191]) ).
fof(f1588,plain,
( aDivisorOf0(sK1(sK17),sK17)
| sz10 = sK17
| smndt0(sz10) = sK17
| ~ spl28_21 ),
inference(resolution,[],[f1526,f192]) ).
fof(f1618,plain,
( aDivisorOf0(sK1(sK17),sK17)
| smndt0(sz10) = sK17
| spl28_4
| ~ spl28_21 ),
inference(forward_subsumption_resolution,[],[f1588,f519]) ).
fof(f1619,plain,
( isPrime0(sK1(sK17))
| smndt0(sz10) = sK17
| spl28_4
| ~ spl28_21 ),
inference(forward_subsumption_resolution,[],[f1587,f519]) ).
fof(f1620,plain,
( aDivisorOf0(sK1(sK17),sK17)
| spl28_3
| spl28_4
| ~ spl28_21 ),
inference(forward_subsumption_resolution,[],[f1618,f486]) ).
fof(f1621,plain,
( isPrime0(sK1(sK17))
| spl28_3
| spl28_4
| ~ spl28_21 ),
inference(forward_subsumption_resolution,[],[f1619,f486]) ).
fof(f1623,definition,
( spl28_22
<=> aDivisorOf0(sK1(sK17),sK17) ),
introduced(definition,[new_symbols(definition,[spl28_22])],[avatar_definition]) ).
fof(f1625,plain,
( aDivisorOf0(sK1(sK17),sK17)
| ~ spl28_22 ),
inference(avatar_component_clause,[],[f1623]) ).
fof(f1626,plain,
( spl28_22
| spl28_3
| spl28_4
| ~ spl28_21 ),
inference(avatar_split_clause,[],[f1620,f1524,f517,f484,f1623]) ).
fof(f1860,definition,
( spl28_28
<=> ! [X0] :
( ~ aElementOf0(X0,cS2043)
| ~ aElementOf0(sz10,X0) ) ),
introduced(definition,[new_symbols(definition,[spl28_28])],[avatar_definition]) ).
fof(f1861,plain,
( ! [X0] :
( ~ aElementOf0(sz10,X0)
| ~ aElementOf0(X0,cS2043) )
| ~ spl28_28 ),
inference(avatar_component_clause,[],[f1860]) ).
fof(f1894,plain,
( ~ aElementOf0(sK18(sz10),cS2043)
| ~ spl28_17
| ~ spl28_28 ),
inference(resolution,[],[f1371,f1861]) ).
fof(f1919,definition,
( spl28_29
<=> aElementOf0(sK18(sz10),cS2043) ),
introduced(definition,[new_symbols(definition,[spl28_29])],[avatar_definition]) ).
fof(f1922,plain,
( ~ spl28_29
| ~ spl28_17
| ~ spl28_28 ),
inference(avatar_split_clause,[],[f1894,f1860,f1369,f1919]) ).
fof(f2238,definition,
( spl28_38
<=> ! [X0] : aElementOf0(X0,cS2043) ),
introduced(definition,[new_symbols(definition,[spl28_38])],[avatar_definition]) ).
fof(f2239,plain,
( ! [X0] : aElementOf0(X0,cS2043)
| ~ spl28_38 ),
inference(avatar_component_clause,[],[f2238]) ).
fof(f2243,definition,
( spl28_39
<=> ! [X0] :
( szAzrzSzezqlpdtcmdtrp0(sz00,sK14(X0)) = X0
| ~ aElementOf0(X0,cS2043) ) ),
introduced(definition,[new_symbols(definition,[spl28_39])],[avatar_definition]) ).
fof(f2244,plain,
( ! [X0] :
( szAzrzSzezqlpdtcmdtrp0(sz00,sK14(X0)) = X0
| ~ aElementOf0(X0,cS2043) )
| ~ spl28_39 ),
inference(avatar_component_clause,[],[f2243]) ).
fof(f2245,plain,
spl28_39,
inference(avatar_split_clause,[],[f311,f2243]) ).
fof(f2275,plain,
( ! [X0] :
( aSubsetOf0(X0,cS1395)
| ~ aInteger0(sz00)
| ~ aInteger0(sK14(X0))
| sz00 = sK14(X0)
| ~ aElementOf0(X0,cS2043) )
| ~ spl28_39 ),
inference(superposition,[],[f259,f2244]) ).
fof(f2278,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aInteger0(X1)
| ~ aInteger0(sz00)
| ~ aInteger0(sK14(X0))
| sz00 = sK14(X0)
| ~ aElementOf0(X0,cS2043) )
| ~ spl28_39 ),
inference(superposition,[],[f365,f2244]) ).
fof(f2279,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,X0)
| sdteqdtlpzmzozddtrp0(X1,sz00,sK14(X0))
| ~ aInteger0(sz00)
| ~ aInteger0(sK14(X0))
| sz00 = sK14(X0)
| ~ aElementOf0(X0,cS2043) )
| ~ spl28_39 ),
inference(superposition,[],[f366,f2244]) ).
fof(f2280,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,X0)
| sdteqdtlpzmzozddtrp0(X1,sz00,sK14(X0))
| ~ aInteger0(sz00)
| sz00 = sK14(X0)
| ~ aElementOf0(X0,cS2043) )
| ~ spl28_39 ),
inference(forward_subsumption_resolution,[],[f2279,f299]) ).
fof(f2281,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aInteger0(X1)
| ~ aInteger0(sz00)
| sz00 = sK14(X0)
| ~ aElementOf0(X0,cS2043) )
| ~ spl28_39 ),
inference(forward_subsumption_resolution,[],[f2278,f299]) ).
fof(f2284,plain,
( ! [X0] :
( aSubsetOf0(X0,cS1395)
| ~ aInteger0(sz00)
| sz00 = sK14(X0)
| ~ aElementOf0(X0,cS2043) )
| ~ spl28_39 ),
inference(forward_subsumption_resolution,[],[f2275,f299]) ).
fof(f2293,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,X0)
| sdteqdtlpzmzozddtrp0(X1,sz00,sK14(X0))
| ~ aInteger0(sz00)
| ~ aElementOf0(X0,cS2043) )
| ~ spl28_39 ),
inference(forward_subsumption_resolution,[],[f2280,f300]) ).
fof(f2294,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aInteger0(X1)
| ~ aInteger0(sz00)
| ~ aElementOf0(X0,cS2043) )
| ~ spl28_39 ),
inference(forward_subsumption_resolution,[],[f2281,f300]) ).
fof(f2297,plain,
( ! [X0] :
( aSubsetOf0(X0,cS1395)
| ~ aInteger0(sz00)
| ~ aElementOf0(X0,cS2043) )
| ~ spl28_39 ),
inference(forward_subsumption_resolution,[],[f2284,f300]) ).
fof(f2305,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,X0)
| sdteqdtlpzmzozddtrp0(X1,sz00,sK14(X0))
| ~ aElementOf0(X0,cS2043) )
| ~ spl28_39 ),
inference(forward_subsumption_resolution,[],[f2293,f155]) ).
fof(f2306,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aInteger0(X1)
| ~ aElementOf0(X0,cS2043) )
| ~ spl28_39 ),
inference(forward_subsumption_resolution,[],[f2294,f155]) ).
fof(f2309,plain,
( ! [X0] :
( aSubsetOf0(X0,cS1395)
| ~ aElementOf0(X0,cS2043) )
| ~ spl28_39 ),
inference(forward_subsumption_resolution,[],[f2297,f155]) ).
fof(f2489,plain,
( ! [X0] : szAzrzSzezqlpdtcmdtrp0(sz00,sK14(X0)) = X0
| ~ spl28_38
| ~ spl28_39 ),
inference(backward_subsumption_resolution,[],[f2244,f2239]) ).
fof(f2513,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aInteger0(X1) )
| ~ spl28_38
| ~ spl28_39 ),
inference(backward_subsumption_resolution,[],[f2306,f2239]) ).
fof(f2516,plain,
( ! [X0] : aSubsetOf0(X0,cS1395)
| ~ spl28_38
| ~ spl28_39 ),
inference(backward_subsumption_resolution,[],[f2309,f2239]) ).
fof(f2981,plain,
( ! [X3,X0] :
( ~ aElementOf0(X3,X0)
| ~ aElementOf0(X3,stldt0(X0)) )
| ~ spl28_38
| ~ spl28_39 ),
inference(backward_subsumption_resolution,[],[f362,f2516]) ).
fof(f3969,definition,
( spl28_58
<=> isPrime0(sK1(sK17)) ),
introduced(definition,[new_symbols(definition,[spl28_58])],[avatar_definition]) ).
fof(f3971,plain,
( isPrime0(sK1(sK17))
| ~ spl28_58 ),
inference(avatar_component_clause,[],[f3969]) ).
fof(f3972,plain,
( spl28_58
| spl28_3
| spl28_4
| ~ spl28_21 ),
inference(avatar_split_clause,[],[f1621,f1524,f517,f484,f3969]) ).
fof(f4004,definition,
( spl28_64
<=> sP23 ),
introduced(definition,[new_symbols(definition,[spl28_64])],[avatar_definition]) ).
fof(f4006,plain,
( sP23
| ~ spl28_64 ),
inference(avatar_component_clause,[],[f4004]) ).
fof(f4007,plain,
( spl28_64
| spl28_38 ),
inference(avatar_split_clause,[],[f376,f2238,f4004]) ).
fof(f4008,plain,
( ! [X6,X5] :
( ~ aInteger0(X5)
| sz00 = X5
| ~ isPrime0(X5)
| aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5)) )
| ~ spl28_64 ),
inference(backward_subsumption_resolution,[],[f377,f4006]) ).
fof(f4016,definition,
( spl28_66
<=> ! [X0] :
( aInteger0(sK14(X0))
| ~ aElementOf0(X0,cS2043) ) ),
introduced(definition,[new_symbols(definition,[spl28_66])],[avatar_definition]) ).
fof(f4017,plain,
( ! [X0] :
( ~ aElementOf0(X0,cS2043)
| aInteger0(sK14(X0)) )
| ~ spl28_66 ),
inference(avatar_component_clause,[],[f4016]) ).
fof(f4018,plain,
spl28_66,
inference(avatar_split_clause,[],[f299,f4016]) ).
fof(f4117,definition,
( spl28_71
<=> sP27 ),
introduced(definition,[new_symbols(definition,[spl28_71])],[avatar_definition]) ).
fof(f4119,plain,
( sP27
| ~ spl28_71 ),
inference(avatar_component_clause,[],[f4117]) ).
fof(f4120,plain,
( spl28_71
| spl28_38 ),
inference(avatar_split_clause,[],[f384,f2238,f4117]) ).
fof(f4121,plain,
( ! [X6,X5] :
( ~ aInteger0(X5)
| sz00 = X5
| ~ isPrime0(X5)
| aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| ~ aInteger0(X6)
| ~ sdteqdtlpzmzozddtrp0(X6,sz00,X5) )
| ~ spl28_71 ),
inference(backward_subsumption_resolution,[],[f385,f4119]) ).
fof(f4131,definition,
( spl28_73
<=> sK17 = sdtpldt0(sK17,sz00) ),
introduced(definition,[new_symbols(definition,[spl28_73])],[avatar_definition]) ).
fof(f4133,plain,
( sK17 = sdtpldt0(sK17,sz00)
| ~ spl28_73 ),
inference(avatar_component_clause,[],[f4131]) ).
fof(f4134,plain,
( spl28_73
| ~ spl28_21 ),
inference(avatar_split_clause,[],[f1539,f1524,f4131]) ).
fof(f4223,definition,
( spl28_79
<=> ! [X0] :
( aInteger0(X0)
| ~ aDivisorOf0(X0,sK17) ) ),
introduced(definition,[new_symbols(definition,[spl28_79])],[avatar_definition]) ).
fof(f4224,plain,
( ! [X0] :
( ~ aDivisorOf0(X0,sK17)
| aInteger0(X0) )
| ~ spl28_79 ),
inference(avatar_component_clause,[],[f4223]) ).
fof(f4225,plain,
( spl28_79
| ~ spl28_21 ),
inference(avatar_split_clause,[],[f1563,f1524,f4223]) ).
fof(f4985,definition,
( spl28_113
<=> ! [X0] :
( isPrime0(sK14(X0))
| ~ aElementOf0(X0,cS2043) ) ),
introduced(definition,[new_symbols(definition,[spl28_113])],[avatar_definition]) ).
fof(f4986,plain,
( ! [X0] :
( ~ aElementOf0(X0,cS2043)
| isPrime0(sK14(X0)) )
| ~ spl28_113 ),
inference(avatar_component_clause,[],[f4985]) ).
fof(f4987,plain,
spl28_113,
inference(avatar_split_clause,[],[f301,f4985]) ).
fof(f5385,definition,
( spl28_140
<=> aInteger0(smndt0(sz10)) ),
introduced(definition,[new_symbols(definition,[spl28_140])],[avatar_definition]) ).
fof(f5386,plain,
( aInteger0(smndt0(sz10))
| ~ spl28_140 ),
inference(avatar_component_clause,[],[f5385]) ).
fof(f5387,plain,
( ~ aInteger0(smndt0(sz10))
| spl28_140 ),
inference(avatar_component_clause,[],[f5385]) ).
fof(f5392,plain,
( ~ aInteger0(sz10)
| spl28_140 ),
inference(resolution,[],[f5387,f157]) ).
fof(f5403,plain,
( $false
| spl28_140 ),
inference(forward_subsumption_resolution,[],[f5392,f156]) ).
fof(f5404,plain,
spl28_140,
inference(avatar_contradiction_clause,[],[f5403]) ).
fof(f5405,plain,
( ! [X2] :
( ~ aDivisorOf0(X2,smndt0(sz10))
| ~ isPrime0(X2) )
| ~ spl28_140 ),
inference(backward_subsumption_resolution,[],[f338,f5386]) ).
fof(f5463,plain,
( sz00 = sdtasdt0(sz00,smndt0(sz10))
| ~ spl28_140 ),
inference(resolution,[],[f5386,f172]) ).
fof(f5576,definition,
( spl28_145
<=> ! [X2] :
( ~ aDivisorOf0(X2,smndt0(sz10))
| ~ isPrime0(X2) ) ),
introduced(definition,[new_symbols(definition,[spl28_145])],[avatar_definition]) ).
fof(f5577,plain,
( ! [X2] :
( ~ aDivisorOf0(X2,smndt0(sz10))
| ~ isPrime0(X2) )
| ~ spl28_145 ),
inference(avatar_component_clause,[],[f5576]) ).
fof(f5578,plain,
( spl28_145
| ~ spl28_140 ),
inference(avatar_split_clause,[],[f5405,f5385,f5576]) ).
fof(f6109,definition,
( spl28_158
<=> ! [X0] :
( sz00 != sK14(X0)
| ~ aElementOf0(X0,cS2043) ) ),
introduced(definition,[new_symbols(definition,[spl28_158])],[avatar_definition]) ).
fof(f6110,plain,
( ! [X0] :
( sz00 != sK14(X0)
| ~ aElementOf0(X0,cS2043) )
| ~ spl28_158 ),
inference(avatar_component_clause,[],[f6109]) ).
fof(f6111,plain,
spl28_158,
inference(avatar_split_clause,[],[f300,f6109]) ).
fof(f7071,definition,
( spl28_202
<=> ! [X2,X0,X4] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,sK14(X0)))
| ~ aInteger0(X2)
| ~ aInteger0(X4)
| sdtpldt0(X2,smndt0(sz00)) != sdtasdt0(sK14(X0),X4)
| ~ aElementOf0(X0,cS2043) ) ),
introduced(definition,[new_symbols(definition,[spl28_202])],[avatar_definition]) ).
fof(f7072,plain,
( ! [X2,X0,X4] :
( sdtpldt0(X2,smndt0(sz00)) != sdtasdt0(sK14(X0),X4)
| ~ aInteger0(X2)
| ~ aInteger0(X4)
| aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,sK14(X0)))
| ~ aElementOf0(X0,cS2043) )
| ~ spl28_202 ),
inference(avatar_component_clause,[],[f7071]) ).
fof(f7073,plain,
spl28_202,
inference(avatar_split_clause,[],[f308,f7071]) ).
fof(f7101,plain,
( ! [X0,X1] :
( sz00 != sdtpldt0(X0,smndt0(sz00))
| ~ aInteger0(X0)
| ~ aInteger0(sz00)
| aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz00,sK14(X1)))
| ~ aElementOf0(X1,cS2043)
| ~ aInteger0(sK14(X1)) )
| ~ spl28_202 ),
inference(superposition,[],[f7072,f173]) ).
fof(f7115,plain,
( ! [X0,X1] :
( sz00 != sdtpldt0(X0,smndt0(sz00))
| ~ aInteger0(X0)
| ~ aInteger0(sz00)
| aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz00,sK14(X1)))
| ~ aElementOf0(X1,cS2043) )
| ~ spl28_66
| ~ spl28_202 ),
inference(forward_subsumption_resolution,[],[f7101,f4017]) ).
fof(f7127,plain,
( ! [X0,X1] :
( sz00 != sdtpldt0(X0,smndt0(sz00))
| ~ aInteger0(X0)
| aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz00,sK14(X1)))
| ~ aElementOf0(X1,cS2043) )
| ~ spl28_66
| ~ spl28_202 ),
inference(forward_subsumption_resolution,[],[f7115,f155]) ).
fof(f7175,definition,
( spl28_204
<=> sz00 = sdtasdt0(sz00,smndt0(sz10)) ),
introduced(definition,[new_symbols(definition,[spl28_204])],[avatar_definition]) ).
fof(f7177,plain,
( sz00 = sdtasdt0(sz00,smndt0(sz10))
| ~ spl28_204 ),
inference(avatar_component_clause,[],[f7175]) ).
fof(f7178,plain,
( spl28_204
| ~ spl28_140 ),
inference(avatar_split_clause,[],[f5463,f5385,f7175]) ).
fof(f7202,plain,
( sz00 = smndt0(sz00)
| ~ aInteger0(sz00)
| ~ spl28_204 ),
inference(superposition,[],[f174,f7177]) ).
fof(f7214,plain,
( sz00 = smndt0(sz00)
| ~ spl28_204 ),
inference(forward_subsumption_resolution,[],[f7202,f155]) ).
fof(f7223,definition,
( spl28_205
<=> sz00 = smndt0(sz00) ),
introduced(definition,[new_symbols(definition,[spl28_205])],[avatar_definition]) ).
fof(f7225,plain,
( sz00 = smndt0(sz00)
| ~ spl28_205 ),
inference(avatar_component_clause,[],[f7223]) ).
fof(f7226,plain,
( spl28_205
| ~ spl28_204 ),
inference(avatar_split_clause,[],[f7214,f7175,f7223]) ).
fof(f8340,definition,
( spl28_252
<=> ! [X6,X5] :
( ~ aInteger0(X5)
| sz00 = X5
| ~ isPrime0(X5)
| aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| ~ aInteger0(X6)
| ~ sdteqdtlpzmzozddtrp0(X6,sz00,X5) ) ),
introduced(definition,[new_symbols(definition,[spl28_252])],[avatar_definition]) ).
fof(f8341,plain,
( ! [X6,X5] :
( aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| sz00 = X5
| ~ isPrime0(X5)
| ~ aInteger0(X5)
| ~ aInteger0(X6)
| ~ sdteqdtlpzmzozddtrp0(X6,sz00,X5) )
| ~ spl28_252 ),
inference(avatar_component_clause,[],[f8340]) ).
fof(f8342,plain,
( spl28_252
| ~ spl28_71 ),
inference(avatar_split_clause,[],[f4121,f4117,f8340]) ).
fof(f8365,plain,
( ! [X0] :
( sz00 = X0
| ~ isPrime0(X0)
| ~ aInteger0(X0)
| ~ aInteger0(sK17)
| ~ sdteqdtlpzmzozddtrp0(sK17,sz00,X0)
| ~ aElementOf0(szAzrzSzezqlpdtcmdtrp0(sz00,X0),cS2043) )
| ~ spl28_19
| ~ spl28_252 ),
inference(resolution,[],[f8341,f1463]) ).
fof(f8391,plain,
( ! [X0] :
( sz00 = X0
| ~ isPrime0(X0)
| ~ aInteger0(X0)
| ~ aInteger0(sK17)
| ~ sdteqdtlpzmzozddtrp0(sK17,sz00,X0) )
| ~ spl28_19
| ~ spl28_252 ),
inference(forward_subsumption_resolution,[],[f8365,f367]) ).
fof(f8406,plain,
( ! [X0] :
( sz00 = X0
| ~ isPrime0(X0)
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(sK17,sz00,X0) )
| ~ spl28_19
| ~ spl28_21
| ~ spl28_252 ),
inference(forward_subsumption_resolution,[],[f8391,f1526]) ).
fof(f8688,definition,
( spl28_255
<=> ! [X0] :
( sz00 = X0
| ~ isPrime0(X0)
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(sK17,sz00,X0) ) ),
introduced(definition,[new_symbols(definition,[spl28_255])],[avatar_definition]) ).
fof(f8689,plain,
( ! [X0] :
( ~ sdteqdtlpzmzozddtrp0(sK17,sz00,X0)
| ~ isPrime0(X0)
| ~ aInteger0(X0)
| sz00 = X0 )
| ~ spl28_255 ),
inference(avatar_component_clause,[],[f8688]) ).
fof(f8690,plain,
( spl28_255
| ~ spl28_19
| ~ spl28_21
| ~ spl28_252 ),
inference(avatar_split_clause,[],[f8406,f8340,f1524,f1462,f8688]) ).
fof(f8696,plain,
( ! [X0] :
( ~ isPrime0(X0)
| ~ aInteger0(X0)
| sz00 = X0
| ~ aDivisorOf0(X0,sdtpldt0(sK17,smndt0(sz00)))
| ~ aInteger0(sK17)
| ~ aInteger0(sz00)
| ~ aInteger0(X0)
| sz00 = X0 )
| ~ spl28_255 ),
inference(resolution,[],[f8689,f183]) ).
fof(f8715,plain,
( ! [X0] :
( ~ isPrime0(X0)
| ~ aInteger0(X0)
| sz00 = X0
| ~ aDivisorOf0(X0,sdtpldt0(sK17,smndt0(sz00)))
| ~ aInteger0(sK17)
| ~ aInteger0(sz00) )
| ~ spl28_255 ),
inference(duplicate_literal_removal,[],[f8696]) ).
fof(f8722,plain,
( ! [X0] :
( ~ isPrime0(X0)
| ~ aInteger0(X0)
| sz00 = X0
| ~ aDivisorOf0(X0,sdtpldt0(sK17,smndt0(sz00)))
| ~ aInteger0(sz00) )
| ~ spl28_21
| ~ spl28_255 ),
inference(forward_subsumption_resolution,[],[f8715,f1526]) ).
fof(f8728,plain,
( ! [X0] :
( ~ isPrime0(X0)
| ~ aInteger0(X0)
| sz00 = X0
| ~ aDivisorOf0(X0,sdtpldt0(sK17,smndt0(sz00))) )
| ~ spl28_21
| ~ spl28_255 ),
inference(forward_subsumption_resolution,[],[f8722,f155]) ).
fof(f8733,plain,
( ! [X0] :
( ~ aDivisorOf0(X0,sdtpldt0(sK17,sz00))
| ~ isPrime0(X0)
| ~ aInteger0(X0)
| sz00 = X0 )
| ~ spl28_21
| ~ spl28_205
| ~ spl28_255 ),
inference(forward_demodulation,[],[f8728,f7225]) ).
fof(f8734,plain,
( ! [X0] :
( ~ aDivisorOf0(X0,sK17)
| ~ isPrime0(X0)
| ~ aInteger0(X0)
| sz00 = X0 )
| ~ spl28_21
| ~ spl28_73
| ~ spl28_205
| ~ spl28_255 ),
inference(forward_demodulation,[],[f8733,f4133]) ).
fof(f8735,plain,
( ! [X0] :
( ~ aDivisorOf0(X0,sK17)
| ~ isPrime0(X0)
| sz00 = X0 )
| ~ spl28_21
| ~ spl28_73
| ~ spl28_79
| ~ spl28_205
| ~ spl28_255 ),
inference(forward_subsumption_resolution,[],[f8734,f4224]) ).
fof(f9465,definition,
( spl28_265
<=> ! [X0] :
( ~ aDivisorOf0(X0,sK17)
| ~ isPrime0(X0)
| sz00 = X0 ) ),
introduced(definition,[new_symbols(definition,[spl28_265])],[avatar_definition]) ).
fof(f9466,plain,
( ! [X0] :
( ~ aDivisorOf0(X0,sK17)
| ~ isPrime0(X0)
| sz00 = X0 )
| ~ spl28_265 ),
inference(avatar_component_clause,[],[f9465]) ).
fof(f9467,plain,
( spl28_265
| ~ spl28_21
| ~ spl28_73
| ~ spl28_79
| ~ spl28_205
| ~ spl28_255 ),
inference(avatar_split_clause,[],[f8735,f8688,f7223,f4223,f4131,f1524,f9465]) ).
fof(f9469,plain,
( ~ isPrime0(sK1(sK17))
| sz00 = sK1(sK17)
| ~ spl28_22
| ~ spl28_265 ),
inference(resolution,[],[f9466,f1625]) ).
fof(f9474,plain,
( sz00 = sK1(sK17)
| ~ spl28_22
| ~ spl28_58
| ~ spl28_265 ),
inference(forward_subsumption_resolution,[],[f9469,f3971]) ).
fof(f9478,definition,
( spl28_266
<=> sz00 = sK1(sK17) ),
introduced(definition,[new_symbols(definition,[spl28_266])],[avatar_definition]) ).
fof(f9480,plain,
( sz00 = sK1(sK17)
| ~ spl28_266 ),
inference(avatar_component_clause,[],[f9478]) ).
fof(f9481,plain,
( spl28_266
| ~ spl28_22
| ~ spl28_58
| ~ spl28_265 ),
inference(avatar_split_clause,[],[f9474,f9465,f3969,f1623,f9478]) ).
fof(f9489,plain,
( aDivisorOf0(sz00,sK17)
| sz10 = sK17
| smndt0(sz10) = sK17
| ~ aInteger0(sK17)
| ~ spl28_266 ),
inference(superposition,[],[f192,f9480]) ).
fof(f9490,plain,
( sz10 = sK17
| smndt0(sz10) = sK17
| ~ aInteger0(sK17)
| ~ spl28_266 ),
inference(forward_subsumption_resolution,[],[f9489,f336]) ).
fof(f9494,plain,
( smndt0(sz10) = sK17
| ~ aInteger0(sK17)
| spl28_4
| ~ spl28_266 ),
inference(forward_subsumption_resolution,[],[f9490,f519]) ).
fof(f9495,plain,
( ~ aInteger0(sK17)
| spl28_3
| spl28_4
| ~ spl28_266 ),
inference(forward_subsumption_resolution,[],[f9494,f486]) ).
fof(f9496,plain,
( $false
| spl28_3
| spl28_4
| ~ spl28_21
| ~ spl28_266 ),
inference(forward_subsumption_resolution,[],[f9495,f1526]) ).
fof(f9497,plain,
( spl28_3
| spl28_4
| ~ spl28_21
| ~ spl28_266 ),
inference(avatar_contradiction_clause,[],[f9496]) ).
fof(f9498,plain,
( aElementOf0(sK17,sbsmnsldt0(cS2043))
| spl28_2
| ~ spl28_8
| ~ spl28_21 ),
inference(forward_subsumption_resolution,[],[f741,f1526]) ).
fof(f10019,plain,
( ! [X0,X1] :
( sz00 != sdtpldt0(X0,smndt0(sz00))
| ~ aInteger0(X0)
| aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz00,sK14(X1))) )
| ~ spl28_38
| ~ spl28_66
| ~ spl28_202 ),
inference(backward_subsumption_resolution,[],[f7127,f2239]) ).
fof(f10872,plain,
( $false
| spl28_2
| ~ spl28_8
| spl28_18
| ~ spl28_21 ),
inference(forward_subsumption_resolution,[],[f9498,f1428]) ).
fof(f10873,plain,
( spl28_2
| ~ spl28_8
| spl28_18
| ~ spl28_21 ),
inference(avatar_contradiction_clause,[],[f10872]) ).
fof(f11083,plain,
( ! [X0,X1] :
( sz00 != sdtpldt0(X0,sz00)
| ~ aInteger0(X0)
| aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz00,sK14(X1))) )
| ~ spl28_38
| ~ spl28_66
| ~ spl28_202
| ~ spl28_205 ),
inference(forward_demodulation,[],[f10019,f7225]) ).
fof(f11438,plain,
( ! [X0,X1] :
( aElementOf0(X0,X1)
| sz00 != sdtpldt0(X0,sz00)
| ~ aInteger0(X0) )
| ~ spl28_38
| ~ spl28_39
| ~ spl28_66
| ~ spl28_202
| ~ spl28_205 ),
inference(forward_demodulation,[],[f11083,f2489]) ).
fof(f11982,plain,
( ! [X0] :
( ~ aDivisorOf0(X0,sK17)
| ~ isPrime0(X0) )
| ~ spl28_3
| ~ spl28_145 ),
inference(superposition,[],[f5577,f485]) ).
fof(f11995,plain,
( aInteger0(sK17)
| ~ aInteger0(sz10)
| ~ spl28_3 ),
inference(superposition,[],[f157,f485]) ).
fof(f12010,plain,
( ~ aInteger0(sz10)
| ~ spl28_3
| spl28_21 ),
inference(forward_subsumption_resolution,[],[f11995,f1525]) ).
fof(f12026,plain,
( $false
| ~ spl28_3
| spl28_21 ),
inference(forward_subsumption_resolution,[],[f12010,f156]) ).
fof(f12027,plain,
( ~ spl28_3
| spl28_21 ),
inference(avatar_contradiction_clause,[],[f12026]) ).
fof(f12529,plain,
( aElementOf0(sK18(sK17),cS2043)
| ~ spl28_13
| ~ spl28_18 ),
inference(resolution,[],[f1427,f1173]) ).
fof(f12531,plain,
( aElementOf0(sK17,sK18(sK17))
| ~ spl28_9
| ~ spl28_18 ),
inference(resolution,[],[f1427,f803]) ).
fof(f12599,definition,
( spl28_272
<=> ! [X0,X3] :
( ~ aElementOf0(X3,X0)
| ~ aElementOf0(X3,stldt0(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl28_272])],[avatar_definition]) ).
fof(f12600,plain,
( ! [X3,X0] :
( ~ aElementOf0(X3,stldt0(X0))
| ~ aElementOf0(X3,X0) )
| ~ spl28_272 ),
inference(avatar_component_clause,[],[f12599]) ).
fof(f12601,plain,
( spl28_272
| ~ spl28_38
| ~ spl28_39 ),
inference(avatar_split_clause,[],[f2981,f2243,f2238,f12599]) ).
fof(f12678,plain,
( ! [X0,X1] :
( aElementOf0(sK17,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ~ sdteqdtlpzmzozddtrp0(sK17,X0,X1)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 )
| ~ spl28_21 ),
inference(resolution,[],[f1526,f364]) ).
fof(f13728,definition,
( spl28_330
<=> ! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aInteger0(X1) ) ),
introduced(definition,[new_symbols(definition,[spl28_330])],[avatar_definition]) ).
fof(f13729,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aInteger0(X1) )
| ~ spl28_330 ),
inference(avatar_component_clause,[],[f13728]) ).
fof(f13730,plain,
( spl28_330
| ~ spl28_38
| ~ spl28_39 ),
inference(avatar_split_clause,[],[f2513,f2243,f2238,f13728]) ).
fof(f13740,plain,
( ! [X0] : aInteger0(X0)
| ~ spl28_38
| ~ spl28_330 ),
inference(resolution,[],[f13729,f2239]) ).
fof(f13755,plain,
( ! [X0] : sdtpldt0(X0,sz00) = X0
| ~ spl28_38
| ~ spl28_330 ),
inference(backward_subsumption_resolution,[],[f163,f13740]) ).
fof(f15258,plain,
( ! [X0,X1] :
( aElementOf0(X0,X1)
| sz00 != sdtpldt0(X0,sz00) )
| ~ spl28_38
| ~ spl28_39
| ~ spl28_66
| ~ spl28_202
| ~ spl28_205
| ~ spl28_330 ),
inference(backward_subsumption_resolution,[],[f11438,f13740]) ).
fof(f16568,plain,
( ! [X0,X1] :
( sz00 != X0
| aElementOf0(X0,X1) )
| ~ spl28_38
| ~ spl28_39
| ~ spl28_66
| ~ spl28_202
| ~ spl28_205
| ~ spl28_330 ),
inference(forward_demodulation,[],[f15258,f13755]) ).
fof(f22715,definition,
( spl28_332
<=> aElementOf0(sK17,sK18(sK17)) ),
introduced(definition,[new_symbols(definition,[spl28_332])],[avatar_definition]) ).
fof(f22717,plain,
( aElementOf0(sK17,sK18(sK17))
| ~ spl28_332 ),
inference(avatar_component_clause,[],[f22715]) ).
fof(f22718,plain,
( spl28_332
| ~ spl28_9
| ~ spl28_18 ),
inference(avatar_split_clause,[],[f12531,f1426,f802,f22715]) ).
fof(f25668,definition,
( spl28_343
<=> ! [X0,X1] :
( sz00 != X0
| aElementOf0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl28_343])],[avatar_definition]) ).
fof(f25669,plain,
( ! [X0,X1] :
( sz00 != X0
| aElementOf0(X0,X1) )
| ~ spl28_343 ),
inference(avatar_component_clause,[],[f25668]) ).
fof(f25670,plain,
( spl28_343
| ~ spl28_38
| ~ spl28_39
| ~ spl28_66
| ~ spl28_202
| ~ spl28_205
| ~ spl28_330 ),
inference(avatar_split_clause,[],[f16568,f13728,f7223,f7071,f4016,f2243,f2238,f25668]) ).
fof(f25693,plain,
( ! [X0] : aElementOf0(sz00,X0)
| ~ spl28_343 ),
inference(equality_resolution,[],[f25669]) ).
fof(f25722,definition,
( spl28_350
<=> ! [X0] : aElementOf0(sz00,X0) ),
introduced(definition,[new_symbols(definition,[spl28_350])],[avatar_definition]) ).
fof(f25723,plain,
( ! [X0] : aElementOf0(sz00,X0)
| ~ spl28_350 ),
inference(avatar_component_clause,[],[f25722]) ).
fof(f25724,plain,
( spl28_350
| ~ spl28_343 ),
inference(avatar_split_clause,[],[f25693,f25668,f25722]) ).
fof(f25725,plain,
( ! [X0] : ~ aElementOf0(sz00,X0)
| ~ spl28_272
| ~ spl28_350 ),
inference(resolution,[],[f25723,f12600]) ).
fof(f25730,plain,
( $false
| ~ spl28_272
| ~ spl28_350 ),
inference(forward_subsumption_resolution,[],[f25725,f25723]) ).
fof(f25731,plain,
( ~ spl28_272
| ~ spl28_350 ),
inference(avatar_contradiction_clause,[],[f25730]) ).
fof(f26474,plain,
! [X2] :
( ~ aDivisorOf0(X2,sz10)
| ~ isPrime0(X2) ),
inference(forward_subsumption_resolution,[],[f337,f156]) ).
fof(f33712,plain,
( ! [X6,X5] :
( aDivisorOf0(X5,sdtpldt0(X6,sz00))
| ~ aInteger0(X5)
| sz00 = X5
| ~ isPrime0(X5)
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5)) )
| ~ spl28_64
| ~ spl28_205 ),
inference(forward_demodulation,[],[f4008,f7225]) ).
fof(f41975,definition,
( spl28_351
<=> aElementOf0(sK18(sK17),cS2043) ),
introduced(definition,[new_symbols(definition,[spl28_351])],[avatar_definition]) ).
fof(f41977,plain,
( aElementOf0(sK18(sK17),cS2043)
| ~ spl28_351 ),
inference(avatar_component_clause,[],[f41975]) ).
fof(f41978,plain,
( spl28_351
| ~ spl28_13
| ~ spl28_18 ),
inference(avatar_split_clause,[],[f12529,f1426,f1172,f41975]) ).
fof(f42369,plain,
( spl28_29
| ~ spl28_13
| ~ spl28_16 ),
inference(avatar_split_clause,[],[f1312,f1308,f1172,f1919]) ).
fof(f52132,definition,
( spl28_376
<=> ! [X2] :
( ~ aDivisorOf0(X2,sz10)
| ~ isPrime0(X2) ) ),
introduced(definition,[new_symbols(definition,[spl28_376])],[avatar_definition]) ).
fof(f52133,plain,
( ! [X2] :
( ~ aDivisorOf0(X2,sz10)
| ~ isPrime0(X2) )
| ~ spl28_376 ),
inference(avatar_component_clause,[],[f52132]) ).
fof(f52134,plain,
spl28_376,
inference(avatar_split_clause,[],[f26474,f52132]) ).
fof(f63251,definition,
( spl28_409
<=> aInteger0(sz10) ),
introduced(definition,[new_symbols(definition,[spl28_409])],[avatar_definition]) ).
fof(f63253,plain,
( aInteger0(sz10)
| ~ spl28_409 ),
inference(avatar_component_clause,[],[f63251]) ).
fof(f63254,plain,
spl28_409,
inference(avatar_split_clause,[],[f156,f63251]) ).
fof(f64857,definition,
( spl28_414
<=> aInteger0(sz00) ),
introduced(definition,[new_symbols(definition,[spl28_414])],[avatar_definition]) ).
fof(f64859,plain,
( aInteger0(sz00)
| ~ spl28_414 ),
inference(avatar_component_clause,[],[f64857]) ).
fof(f64860,plain,
spl28_414,
inference(avatar_split_clause,[],[f155,f64857]) ).
fof(f67733,definition,
( spl28_483
<=> ! [X0] :
( ~ aDivisorOf0(X0,sK17)
| ~ isPrime0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl28_483])],[avatar_definition]) ).
fof(f67734,plain,
( ! [X0] :
( ~ aDivisorOf0(X0,sK17)
| ~ isPrime0(X0) )
| ~ spl28_483 ),
inference(avatar_component_clause,[],[f67733]) ).
fof(f67735,plain,
( spl28_483
| ~ spl28_3
| ~ spl28_145 ),
inference(avatar_split_clause,[],[f11982,f5576,f484,f67733]) ).
fof(f78900,definition,
( spl28_681
<=> ! [X0,X1] :
( ~ aElementOf0(X1,X0)
| sdteqdtlpzmzozddtrp0(X1,sz00,sK14(X0))
| ~ aElementOf0(X0,cS2043) ) ),
introduced(definition,[new_symbols(definition,[spl28_681])],[avatar_definition]) ).
fof(f78901,plain,
( ! [X0,X1] :
( sdteqdtlpzmzozddtrp0(X1,sz00,sK14(X0))
| ~ aElementOf0(X1,X0)
| ~ aElementOf0(X0,cS2043) )
| ~ spl28_681 ),
inference(avatar_component_clause,[],[f78900]) ).
fof(f78902,plain,
( spl28_681
| ~ spl28_39 ),
inference(avatar_split_clause,[],[f2305,f2243,f78900]) ).
fof(f83176,definition,
( spl28_725
<=> ! [X0,X1] :
( aElementOf0(sK17,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ~ sdteqdtlpzmzozddtrp0(sK17,X0,X1)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ) ),
introduced(definition,[new_symbols(definition,[spl28_725])],[avatar_definition]) ).
fof(f83177,plain,
( ! [X0,X1] :
( aElementOf0(sK17,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ~ sdteqdtlpzmzozddtrp0(sK17,X0,X1)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 )
| ~ spl28_725 ),
inference(avatar_component_clause,[],[f83176]) ).
fof(f83178,plain,
( spl28_725
| ~ spl28_21 ),
inference(avatar_split_clause,[],[f12678,f1524,f83176]) ).
fof(f206273,definition,
( spl28_1657
<=> ! [X6,X5] :
( aDivisorOf0(X5,sdtpldt0(X6,sz00))
| ~ aInteger0(X5)
| sz00 = X5
| ~ isPrime0(X5)
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5)) ) ),
introduced(definition,[new_symbols(definition,[spl28_1657])],[avatar_definition]) ).
fof(f206274,plain,
( ! [X6,X5] :
( ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| ~ aInteger0(X5)
| sz00 = X5
| ~ isPrime0(X5)
| aDivisorOf0(X5,sdtpldt0(X6,sz00)) )
| ~ spl28_1657 ),
inference(avatar_component_clause,[],[f206273]) ).
fof(f206275,plain,
( spl28_1657
| ~ spl28_64
| ~ spl28_205 ),
inference(avatar_split_clause,[],[f33712,f7223,f4004,f206273]) ).
fof(f206277,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = X0
| ~ isPrime0(X0)
| aDivisorOf0(X0,sdtpldt0(sK17,sz00))
| ~ sdteqdtlpzmzozddtrp0(sK17,sz00,X0)
| ~ aInteger0(sz00)
| ~ aInteger0(X0)
| sz00 = X0 )
| ~ spl28_725
| ~ spl28_1657 ),
inference(resolution,[],[f206274,f83177]) ).
fof(f206313,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = X0
| ~ isPrime0(X0)
| aDivisorOf0(X0,sdtpldt0(sK17,sz00))
| ~ sdteqdtlpzmzozddtrp0(sK17,sz00,X0)
| ~ aInteger0(sz00) )
| ~ spl28_725
| ~ spl28_1657 ),
inference(duplicate_literal_removal,[],[f206277]) ).
fof(f206338,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = X0
| ~ isPrime0(X0)
| aDivisorOf0(X0,sdtpldt0(sK17,sz00))
| ~ sdteqdtlpzmzozddtrp0(sK17,sz00,X0) )
| ~ spl28_414
| ~ spl28_725
| ~ spl28_1657 ),
inference(forward_subsumption_resolution,[],[f206313,f64859]) ).
fof(f206347,plain,
( ! [X0] :
( aDivisorOf0(X0,sK17)
| ~ aInteger0(X0)
| sz00 = X0
| ~ isPrime0(X0)
| ~ sdteqdtlpzmzozddtrp0(sK17,sz00,X0) )
| ~ spl28_73
| ~ spl28_414
| ~ spl28_725
| ~ spl28_1657 ),
inference(forward_demodulation,[],[f206338,f4133]) ).
fof(f206354,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = X0
| ~ isPrime0(X0)
| ~ sdteqdtlpzmzozddtrp0(sK17,sz00,X0) )
| ~ spl28_73
| ~ spl28_414
| ~ spl28_483
| ~ spl28_725
| ~ spl28_1657 ),
inference(forward_subsumption_resolution,[],[f206347,f67734]) ).
fof(f206456,plain,
( spl28_255
| ~ spl28_73
| ~ spl28_414
| ~ spl28_483
| ~ spl28_725
| ~ spl28_1657 ),
inference(avatar_split_clause,[],[f206354,f206273,f83176,f67733,f64857,f4131,f8688]) ).
fof(f206462,plain,
( ! [X0] :
( ~ isPrime0(sK14(X0))
| ~ aInteger0(sK14(X0))
| sz00 = sK14(X0)
| ~ aElementOf0(sK17,X0)
| ~ aElementOf0(X0,cS2043) )
| ~ spl28_255
| ~ spl28_681 ),
inference(resolution,[],[f8689,f78901]) ).
fof(f206470,plain,
( ! [X0] :
( ~ aInteger0(sK14(X0))
| sz00 = sK14(X0)
| ~ aElementOf0(sK17,X0)
| ~ aElementOf0(X0,cS2043) )
| ~ spl28_113
| ~ spl28_255
| ~ spl28_681 ),
inference(forward_subsumption_resolution,[],[f206462,f4986]) ).
fof(f206472,plain,
( ! [X0] :
( sz00 = sK14(X0)
| ~ aElementOf0(sK17,X0)
| ~ aElementOf0(X0,cS2043) )
| ~ spl28_66
| ~ spl28_113
| ~ spl28_255
| ~ spl28_681 ),
inference(forward_subsumption_resolution,[],[f206470,f4017]) ).
fof(f206474,plain,
( ! [X0] :
( ~ aElementOf0(sK17,X0)
| ~ aElementOf0(X0,cS2043) )
| ~ spl28_66
| ~ spl28_113
| ~ spl28_158
| ~ spl28_255
| ~ spl28_681 ),
inference(forward_subsumption_resolution,[],[f206472,f6110]) ).
fof(f206476,plain,
( spl28_19
| ~ spl28_66
| ~ spl28_113
| ~ spl28_158
| ~ spl28_255
| ~ spl28_681 ),
inference(avatar_split_clause,[],[f206474,f78900,f8688,f6109,f4985,f4016,f1462]) ).
fof(f206508,plain,
( ~ aElementOf0(sK18(sK17),cS2043)
| ~ spl28_19
| ~ spl28_332 ),
inference(resolution,[],[f1463,f22717]) ).
fof(f206515,plain,
( $false
| ~ spl28_19
| ~ spl28_332
| ~ spl28_351 ),
inference(forward_subsumption_resolution,[],[f206508,f41977]) ).
fof(f206516,plain,
( ~ spl28_19
| ~ spl28_332
| ~ spl28_351 ),
inference(avatar_contradiction_clause,[],[f206515]) ).
fof(f206538,plain,
( ! [X0] :
( aDivisorOf0(X0,sz10)
| ~ aInteger0(X0)
| sz00 = X0
| ~ isPrime0(X0)
| ~ sdteqdtlpzmzozddtrp0(sK17,sz00,X0) )
| ~ spl28_4
| ~ spl28_73
| ~ spl28_414
| ~ spl28_725
| ~ spl28_1657 ),
inference(forward_demodulation,[],[f206347,f518]) ).
fof(f207253,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = X0
| ~ isPrime0(X0)
| ~ sdteqdtlpzmzozddtrp0(sK17,sz00,X0) )
| ~ spl28_4
| ~ spl28_73
| ~ spl28_376
| ~ spl28_414
| ~ spl28_725
| ~ spl28_1657 ),
inference(forward_subsumption_resolution,[],[f206538,f52133]) ).
fof(f207636,plain,
( ! [X0] :
( ~ sdteqdtlpzmzozddtrp0(sz10,sz00,X0)
| ~ aInteger0(X0)
| sz00 = X0
| ~ isPrime0(X0) )
| ~ spl28_4
| ~ spl28_73
| ~ spl28_376
| ~ spl28_414
| ~ spl28_725
| ~ spl28_1657 ),
inference(forward_demodulation,[],[f207253,f518]) ).
fof(f352248,definition,
( spl28_2096
<=> ! [X0] :
( ~ sdteqdtlpzmzozddtrp0(sz10,sz00,X0)
| ~ aInteger0(X0)
| sz00 = X0
| ~ isPrime0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl28_2096])],[avatar_definition]) ).
fof(f352249,plain,
( ! [X0] :
( ~ sdteqdtlpzmzozddtrp0(sz10,sz00,X0)
| ~ aInteger0(X0)
| sz00 = X0
| ~ isPrime0(X0) )
| ~ spl28_2096 ),
inference(avatar_component_clause,[],[f352248]) ).
fof(f352250,plain,
( spl28_2096
| ~ spl28_4
| ~ spl28_73
| ~ spl28_376
| ~ spl28_414
| ~ spl28_725
| ~ spl28_1657 ),
inference(avatar_split_clause,[],[f207636,f206273,f83176,f64857,f52132,f4131,f517,f352248]) ).
fof(f352254,plain,
( ! [X0] :
( ~ aInteger0(sK14(X0))
| sz00 = sK14(X0)
| ~ isPrime0(sK14(X0))
| ~ aElementOf0(sz10,X0)
| ~ aElementOf0(X0,cS2043) )
| ~ spl28_681
| ~ spl28_2096 ),
inference(resolution,[],[f352249,f78901]) ).
fof(f352261,plain,
( ! [X0] :
( sz00 = sK14(X0)
| ~ isPrime0(sK14(X0))
| ~ aElementOf0(sz10,X0)
| ~ aElementOf0(X0,cS2043) )
| ~ spl28_66
| ~ spl28_681
| ~ spl28_2096 ),
inference(forward_subsumption_resolution,[],[f352254,f4017]) ).
fof(f352263,plain,
( ! [X0] :
( ~ isPrime0(sK14(X0))
| ~ aElementOf0(sz10,X0)
| ~ aElementOf0(X0,cS2043) )
| ~ spl28_66
| ~ spl28_158
| ~ spl28_681
| ~ spl28_2096 ),
inference(forward_subsumption_resolution,[],[f352261,f6110]) ).
fof(f352265,plain,
( ! [X0] :
( ~ aElementOf0(sz10,X0)
| ~ aElementOf0(X0,cS2043) )
| ~ spl28_66
| ~ spl28_113
| ~ spl28_158
| ~ spl28_681
| ~ spl28_2096 ),
inference(forward_subsumption_resolution,[],[f352263,f4986]) ).
fof(f352267,plain,
( spl28_28
| ~ spl28_66
| ~ spl28_113
| ~ spl28_158
| ~ spl28_681
| ~ spl28_2096 ),
inference(avatar_split_clause,[],[f352265,f352248,f78900,f6109,f4985,f4016,f1860]) ).
fof(f352268,plain,
( ~ aInteger0(sz10)
| ~ spl28_4
| spl28_21 ),
inference(forward_demodulation,[],[f1525,f518]) ).
fof(f356508,plain,
( $false
| ~ spl28_4
| spl28_21
| ~ spl28_409 ),
inference(forward_subsumption_resolution,[],[f352268,f63253]) ).
fof(f356509,plain,
( ~ spl28_4
| spl28_21
| ~ spl28_409 ),
inference(avatar_contradiction_clause,[],[f356508]) ).
cnf(s1,plain,
spl28_1,
inference(sat_conversion,[],[f389]) ).
cnf(s2,plain,
( ~ spl28_2
| ~ spl28_3 ),
inference(sat_conversion,[],[f487]) ).
cnf(s3,plain,
( ~ spl28_2
| ~ spl28_4 ),
inference(sat_conversion,[],[f520]) ).
cnf(s7,plain,
spl28_8,
inference(sat_conversion,[],[f707]) ).
cnf(s8,plain,
spl28_9,
inference(sat_conversion,[],[f804]) ).
cnf(s9,plain,
spl28_10,
inference(sat_conversion,[],[f895]) ).
cnf(s11,plain,
( spl28_2
| spl28_3
| spl28_4 ),
inference(sat_conversion,[],[f1080]) ).
cnf(s12,plain,
spl28_12,
inference(sat_conversion,[],[f1085]) ).
cnf(s13,plain,
spl28_13,
inference(sat_conversion,[],[f1174]) ).
cnf(s15,plain,
( spl28_2
| ~ spl28_4
| ~ spl28_15 ),
inference(sat_conversion,[],[f1271]) ).
cnf(s16,plain,
( ~ spl28_8
| spl28_15
| spl28_16 ),
inference(sat_conversion,[],[f1311]) ).
cnf(s17,plain,
( ~ spl28_9
| ~ spl28_16
| spl28_17 ),
inference(sat_conversion,[],[f1372]) ).
cnf(s18,plain,
( ~ spl28_1
| ~ spl28_2
| ~ spl28_18 ),
inference(sat_conversion,[],[f1429]) ).
cnf(s19,plain,
( ~ spl28_2
| ~ spl28_10
| ~ spl28_12
| spl28_18
| spl28_19 ),
inference(sat_conversion,[],[f1464]) ).
cnf(s21,plain,
( ~ spl28_2
| ~ spl28_12
| spl28_21 ),
inference(sat_conversion,[],[f1527]) ).
cnf(s22,plain,
( spl28_3
| spl28_4
| ~ spl28_21
| spl28_22 ),
inference(sat_conversion,[],[f1626]) ).
cnf(s31,plain,
( ~ spl28_17
| ~ spl28_28
| ~ spl28_29 ),
inference(sat_conversion,[],[f1922]) ).
cnf(s40,plain,
spl28_39,
inference(sat_conversion,[],[f2245]) ).
cnf(s77,plain,
( spl28_3
| spl28_4
| ~ spl28_21
| spl28_58 ),
inference(sat_conversion,[],[f3972]) ).
cnf(s82,plain,
( spl28_38
| spl28_64 ),
inference(sat_conversion,[],[f4007]) ).
cnf(s84,plain,
spl28_66,
inference(sat_conversion,[],[f4018]) ).
cnf(s89,plain,
( spl28_38
| spl28_71 ),
inference(sat_conversion,[],[f4120]) ).
cnf(s91,plain,
( ~ spl28_21
| spl28_73 ),
inference(sat_conversion,[],[f4134]) ).
cnf(s97,plain,
( ~ spl28_21
| spl28_79 ),
inference(sat_conversion,[],[f4225]) ).
cnf(s128,plain,
spl28_113,
inference(sat_conversion,[],[f4987]) ).
cnf(s156,plain,
spl28_140,
inference(sat_conversion,[],[f5404]) ).
cnf(s160,plain,
( ~ spl28_140
| spl28_145 ),
inference(sat_conversion,[],[f5578]) ).
cnf(s173,plain,
spl28_158,
inference(sat_conversion,[],[f6111]) ).
cnf(s216,plain,
spl28_202,
inference(sat_conversion,[],[f7073]) ).
cnf(s218,plain,
( ~ spl28_140
| spl28_204 ),
inference(sat_conversion,[],[f7178]) ).
cnf(s219,plain,
( ~ spl28_204
| spl28_205 ),
inference(sat_conversion,[],[f7226]) ).
cnf(s265,plain,
( ~ spl28_71
| spl28_252 ),
inference(sat_conversion,[],[f8342]) ).
cnf(s269,plain,
( ~ spl28_19
| ~ spl28_21
| ~ spl28_252
| spl28_255 ),
inference(sat_conversion,[],[f8690]) ).
cnf(s278,plain,
( ~ spl28_21
| ~ spl28_73
| ~ spl28_79
| ~ spl28_205
| ~ spl28_255
| spl28_265 ),
inference(sat_conversion,[],[f9467]) ).
cnf(s279,plain,
( ~ spl28_22
| ~ spl28_58
| ~ spl28_265
| spl28_266 ),
inference(sat_conversion,[],[f9481]) ).
cnf(s281,plain,
( spl28_3
| spl28_4
| ~ spl28_21
| ~ spl28_266 ),
inference(sat_conversion,[],[f9497]) ).
cnf(s290,plain,
( spl28_2
| ~ spl28_8
| spl28_18
| ~ spl28_21 ),
inference(sat_conversion,[],[f10873]) ).
cnf(s342,plain,
( ~ spl28_3
| spl28_21 ),
inference(sat_conversion,[],[f12027]) ).
cnf(s351,plain,
( ~ spl28_38
| ~ spl28_39
| spl28_272 ),
inference(sat_conversion,[],[f12601]) ).
cnf(s412,plain,
( ~ spl28_38
| ~ spl28_39
| spl28_330 ),
inference(sat_conversion,[],[f13730]) ).
cnf(s558,plain,
( ~ spl28_9
| ~ spl28_18
| spl28_332 ),
inference(sat_conversion,[],[f22718]) ).
cnf(s690,plain,
( ~ spl28_38
| ~ spl28_39
| ~ spl28_66
| ~ spl28_202
| ~ spl28_205
| ~ spl28_330
| spl28_343 ),
inference(sat_conversion,[],[f25670]) ).
cnf(s697,plain,
( ~ spl28_343
| spl28_350 ),
inference(sat_conversion,[],[f25724]) ).
cnf(s698,plain,
( ~ spl28_272
| ~ spl28_350 ),
inference(sat_conversion,[],[f25731]) ).
cnf(s983,plain,
( ~ spl28_13
| ~ spl28_18
| spl28_351 ),
inference(sat_conversion,[],[f41978]) ).
cnf(s985,plain,
( ~ spl28_13
| ~ spl28_16
| spl28_29 ),
inference(sat_conversion,[],[f42369]) ).
cnf(s1024,plain,
spl28_376,
inference(sat_conversion,[],[f52134]) ).
cnf(s1183,plain,
spl28_409,
inference(sat_conversion,[],[f63254]) ).
cnf(s1259,plain,
spl28_414,
inference(sat_conversion,[],[f64860]) ).
cnf(s1345,plain,
( ~ spl28_3
| ~ spl28_145
| spl28_483 ),
inference(sat_conversion,[],[f67735]) ).
cnf(s1557,plain,
( ~ spl28_39
| spl28_681 ),
inference(sat_conversion,[],[f78902]) ).
cnf(s1649,plain,
( ~ spl28_21
| spl28_725 ),
inference(sat_conversion,[],[f83178]) ).
cnf(s3397,plain,
( ~ spl28_64
| ~ spl28_205
| spl28_1657 ),
inference(sat_conversion,[],[f206275]) ).
cnf(s3402,plain,
( ~ spl28_73
| spl28_255
| ~ spl28_414
| ~ spl28_483
| ~ spl28_725
| ~ spl28_1657 ),
inference(sat_conversion,[],[f206456]) ).
cnf(s3403,plain,
( spl28_19
| ~ spl28_66
| ~ spl28_113
| ~ spl28_158
| ~ spl28_255
| ~ spl28_681 ),
inference(sat_conversion,[],[f206476]) ).
cnf(s3404,plain,
( ~ spl28_19
| ~ spl28_332
| ~ spl28_351 ),
inference(sat_conversion,[],[f206516]) ).
cnf(s4345,plain,
( ~ spl28_4
| ~ spl28_73
| ~ spl28_376
| ~ spl28_414
| ~ spl28_725
| ~ spl28_1657
| spl28_2096 ),
inference(sat_conversion,[],[f352250]) ).
cnf(s4346,plain,
( spl28_28
| ~ spl28_66
| ~ spl28_113
| ~ spl28_158
| ~ spl28_681
| ~ spl28_2096 ),
inference(sat_conversion,[],[f352267]) ).
cnf(s4347,plain,
( ~ spl28_4
| spl28_21
| ~ spl28_409 ),
inference(sat_conversion,[],[f356509]) ).
cnf(s4399,plain,
spl28_204,
inference(rat,[],[s218,s156]) ).
cnf(s4400,plain,
spl28_145,
inference(rat,[],[s160,s156]) ).
cnf(s4414,plain,
spl28_205,
inference(rat,[],[s219,s4399]) ).
cnf(s4438,plain,
spl28_681,
inference(rat,[],[s1557,s40]) ).
cnf(s4548,plain,
~ spl28_38,
inference(rat,[],[s697,s698,s690,s351,s412,s84,s216,s4414,s40]) ).
cnf(s4549,plain,
spl28_71,
inference(rat,[],[s89,s4548]) ).
cnf(s4551,plain,
spl28_64,
inference(rat,[],[s82,s4548]) ).
cnf(s4558,plain,
spl28_252,
inference(rat,[],[s265,s4549]) ).
cnf(s4560,plain,
spl28_1657,
inference(rat,[],[s3397,s4414,s4551]) ).
cnf(s4575,plain,
( ~ spl28_4
| spl28_2 ),
inference(rat,[],[s31,s4346,s17,s985,s4345,s16,s91,s1649,s15,s4347,s128,s173,s84,s4438,s8,s13,s1024,s1259,s4560,s7,s1183]) ).
cnf(s4576,plain,
( spl28_4
| spl28_2 ),
inference(rat,[],[s3404,s3403,s558,s983,s3402,s290,s91,s1649,s342,s1345,s11,s4400,s7,s4560,s1259,s13,s8,s4438,s84,s173,s128]) ).
cnf(s4577,plain,
spl28_2,
inference(rat,[],[s4576,s4575]) ).
cnf(s4581,plain,
spl28_21,
inference(rat,[],[s21,s12,s4577]) ).
cnf(s4582,plain,
~ spl28_18,
inference(rat,[],[s18,s1,s4577]) ).
cnf(s4583,plain,
~ spl28_4,
inference(rat,[],[s3,s4577]) ).
cnf(s4584,plain,
~ spl28_3,
inference(rat,[],[s2,s4577]) ).
cnf(s4614,plain,
spl28_79,
inference(rat,[],[s97,s4581]) ).
cnf(s4616,plain,
spl28_73,
inference(rat,[],[s91,s4581]) ).
cnf(s4625,plain,
~ spl28_266,
inference(rat,[],[s281,s4583,s4584,s4581]) ).
cnf(s4626,plain,
spl28_58,
inference(rat,[],[s77,s4583,s4584,s4581]) ).
cnf(s4627,plain,
spl28_22,
inference(rat,[],[s22,s4583,s4584,s4581]) ).
cnf(s4631,plain,
spl28_19,
inference(rat,[],[s19,s4577,s9,s12,s4582]) ).
cnf(s4682,plain,
~ spl28_265,
inference(rat,[],[s279,s4625,s4626,s4627]) ).
cnf(s4696,plain,
spl28_255,
inference(rat,[],[s269,s4558,s4581,s4631]) ).
cnf(s4732,plain,
$false,
inference(rat,[],[s278,s4616,s4614,s4414,s4581,s4682,s4696]) ).
fof(f362675,plain,
$false,
inference(avatar_sat_refutation,[],[s4732]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM446+5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n002.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 20:00:51 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.64/3.04 % (3841947)Detected formulas, will run a generic FOF schedule.
% 15.64/3.04 % (3842055)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2719769732:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 15.64/3.04 % (3842053)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=90086499:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 15.64/3.04 % (3842059)dis-21_1_sil=8000:lcm=predicate:random_seed=1787100416:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 15.64/3.04 % (3842058)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2604599676:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 15.64/3.04 % (3842057)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1539713652:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 15.64/3.04 % (3842054)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2412957735:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 15.64/3.04 % (3842056)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1352224908:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 15.64/3.04 % (3842057)Instruction limit reached!
% 15.64/3.04 % (3842057)------------------------------
% 15.64/3.04 % (3842057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.64/3.04 % (3842057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.64/3.04 % (3842057)CaDiCaL version: 2.1.3
% 15.64/3.04 % (3842057)Termination reason: Instruction limit
% 15.64/3.04 % (3842057)Termination phase: Saturation
% 15.64/3.04 % (3842057)Time elapsed: 0.076 s
% 15.64/3.04 % (3842057)Peak memory usage: 89 MB
% 15.64/3.04 % (3842057)Instructions burned: 120 (million)
% 15.64/3.04 % (3842059)Instruction limit reached!
% 15.64/3.04 % (3842059)------------------------------
% 15.64/3.04 % (3842059)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.64/3.04 % (3842059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.64/3.04 % (3842059)CaDiCaL version: 2.1.3
% 15.64/3.04 % (3842059)Termination reason: Instruction limit
% 15.64/3.04 % (3842059)Termination phase: Saturation
% 15.64/3.04 % (3842059)Time elapsed: 0.080 s
% 15.64/3.04 % (3842059)Peak memory usage: 90 MB
% 15.64/3.04 % (3842059)Instructions burned: 131 (million)
% 15.64/3.04 % (3842058)Instruction limit reached!
% 15.64/3.04 % (3842058)------------------------------
% 15.64/3.04 % (3842058)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.64/3.04 % (3842058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.64/3.04 % (3842058)CaDiCaL version: 2.1.3
% 15.64/3.04 % (3842058)Termination reason: Instruction limit
% 15.64/3.04 % (3842058)Termination phase: Saturation
% 15.64/3.04 % (3842058)Time elapsed: 0.092 s
% 15.64/3.04 % (3842058)Peak memory usage: 90 MB
% 15.64/3.04 % (3842058)Instructions burned: 139 (million)
% 15.64/3.04 % (3842056)Instruction limit reached!
% 15.64/3.04 % (3842056)------------------------------
% 15.64/3.04 % (3842056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.64/3.04 % (3842056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.64/3.04 % (3842056)CaDiCaL version: 2.1.3
% 15.64/3.04 % (3842056)Termination reason: Instruction limit
% 15.64/3.04 % (3842056)Termination phase: Saturation
% 15.64/3.04 % (3842056)Time elapsed: 0.087 s
% 15.64/3.04 % (3842056)Peak memory usage: 90 MB
% 15.64/3.04 % (3842056)Instructions burned: 109 (million)
% 15.64/3.04 % (3842074)lrs+10_1_sil=8000:sp=occurrence:random_seed=3471476257:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 15.64/3.04 % (3842076)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1462466858:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 15.64/3.04 % (3842081)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1766316372:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 15.64/3.04 % (3842091)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2573954415:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 15.64/3.04 % (3842076)Instruction limit reached!
% 21.10/3.97 % (3842076)------------------------------
% 21.10/3.97 % (3842076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.10/3.97 % (3842076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.10/3.97 % (3842076)CaDiCaL version: 2.1.3
% 21.10/3.97 % (3842076)Termination reason: Instruction limit
% 21.10/3.97 % (3842076)Termination phase: Saturation
% 21.10/3.97 % (3842076)Time elapsed: 0.092 s
% 21.10/3.97 % (3842076)Peak memory usage: 90 MB
% 21.10/3.97 % (3842076)Instructions burned: 158 (million)
% 21.10/3.97 % (3842091)Instruction limit reached!
% 21.10/3.97 % (3842091)------------------------------
% 21.10/3.97 % (3842091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.10/3.97 % (3842091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.10/3.97 % (3842091)CaDiCaL version: 2.1.3
% 21.10/3.97 % (3842091)Termination reason: Instruction limit
% 21.10/3.97 % (3842091)Termination phase: Saturation
% 21.10/3.97 % (3842091)Time elapsed: 0.125 s
% 21.10/3.97 % (3842091)Peak memory usage: 95 MB
% 21.10/3.97 % (3842091)Instructions burned: 250 (million)
% 21.10/3.97 % (3842074)Instruction limit reached!
% 21.10/3.97 % (3842074)------------------------------
% 21.10/3.97 % (3842074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.10/3.97 % (3842074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.10/3.97 % (3842074)CaDiCaL version: 2.1.3
% 21.10/3.97 % (3842074)Termination reason: Instruction limit
% 21.10/3.97 % (3842074)Termination phase: Saturation
% 21.10/3.97 % (3842074)Time elapsed: 0.172 s
% 21.10/3.97 % (3842074)Peak memory usage: 93 MB
% 21.10/3.97 % (3842074)Instructions burned: 286 (million)
% 21.10/3.97 % (3842081)Instruction limit reached!
% 21.10/3.97 % (3842081)------------------------------
% 21.10/3.97 % (3842081)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.10/3.97 % (3842081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.10/3.97 % (3842081)CaDiCaL version: 2.1.3
% 21.10/3.97 % (3842081)Termination reason: Instruction limit
% 21.10/3.97 % (3842081)Termination phase: Saturation
% 21.10/3.97 % (3842081)Time elapsed: 0.203 s
% 21.10/3.97 % (3842081)Peak memory usage: 92 MB
% 21.10/3.97 % (3842081)Instructions burned: 325 (million)
% 21.10/3.97 % (3842142)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2240474739:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 21.10/3.97 % (3842171)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2848810240:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 21.10/3.97 % (3842178)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2428898479:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 21.10/3.97 % (3842197)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1714875479:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 21.10/3.97 % (3842178)Instruction limit reached!
% 21.10/3.97 % (3842178)------------------------------
% 21.10/3.97 % (3842178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.10/3.97 % (3842178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.10/3.97 % (3842178)CaDiCaL version: 2.1.3
% 21.10/3.97 % (3842178)Termination reason: Instruction limit
% 21.10/3.97 % (3842178)Termination phase: Saturation
% 21.10/3.97 % (3842178)Time elapsed: 0.074 s
% 21.10/3.97 % (3842178)Peak memory usage: 90 MB
% 21.10/3.97 % (3842178)Instructions burned: 113 (million)
% 21.10/3.97 % (3842142)Instruction limit reached!
% 21.10/3.97 % (3842142)------------------------------
% 21.10/3.97 % (3842142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.10/3.97 % (3842142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.10/3.97 % (3842142)CaDiCaL version: 2.1.3
% 21.10/3.97 % (3842142)Termination reason: Instruction limit
% 21.10/3.97 % (3842142)Termination phase: Saturation
% 21.10/3.97 % (3842142)Time elapsed: 0.187 s
% 21.10/3.97 % (3842142)Peak memory usage: 91 MB
% 21.10/3.97 % (3842142)Instructions burned: 294 (million)
% 21.10/3.97 % (3842197)Instruction limit reached!
% 21.10/3.97 % (3842197)------------------------------
% 21.10/3.97 % (3842197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.10/3.97 % (3842197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.10/3.97 % (3842197)CaDiCaL version: 2.1.3
% 21.10/3.97 % (3842197)Termination reason: Instruction limit
% 21.10/3.97 % (3842197)Termination phase: Saturation
% 60.82/9.45 % (3842197)Time elapsed: 0.066 s
% 60.82/9.45 % (3842197)Peak memory usage: 89 MB
% 60.82/9.45 % (3842197)Instructions burned: 127 (million)
% 60.82/9.45 % (3842216)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1280332267:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 60.82/9.45 % (3842225)lrs+10_1_sil=8000:sp=occurrence:random_seed=2661856280:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 60.82/9.45 % (3842238)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=320962131:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 60.82/9.45 % (3842216)Instruction limit reached!
% 60.82/9.45 % (3842216)------------------------------
% 60.82/9.45 % (3842216)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 60.82/9.45 % (3842216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.82/9.45 % (3842216)CaDiCaL version: 2.1.3
% 60.82/9.45 % (3842216)Termination reason: Instruction limit
% 60.82/9.45 % (3842216)Termination phase: Saturation
% 60.82/9.45 % (3842216)Time elapsed: 0.061 s
% 60.82/9.45 % (3842216)Peak memory usage: 89 MB
% 60.82/9.45 % (3842216)Instructions burned: 114 (million)
% 60.82/9.45 % (3842269)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3163045898:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 60.82/9.45 % (3842238)Instruction limit reached!
% 60.82/9.45 % (3842238)------------------------------
% 60.82/9.45 % (3842238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 60.82/9.45 % (3842238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.82/9.45 % (3842238)CaDiCaL version: 2.1.3
% 60.82/9.45 % (3842238)Termination reason: Instruction limit
% 60.82/9.45 % (3842238)Termination phase: Saturation
% 60.82/9.45 % (3842238)Time elapsed: 0.273 s
% 60.82/9.45 % (3842238)Peak memory usage: 93 MB
% 60.82/9.45 % (3842238)Instructions burned: 438 (million)
% 60.82/9.45 % (3842271)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4002789176:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 60.82/9.45 % (3842271)Instruction limit reached!
% 60.82/9.45 % (3842271)------------------------------
% 60.82/9.45 % (3842271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 60.82/9.45 % (3842271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.82/9.45 % (3842271)CaDiCaL version: 2.1.3
% 60.82/9.45 % (3842271)Termination reason: Instruction limit
% 60.82/9.45 % (3842271)Termination phase: Saturation
% 60.82/9.45 % (3842271)Time elapsed: 0.062 s
% 60.82/9.45 % (3842271)Peak memory usage: 91 MB
% 60.82/9.45 % (3842271)Instructions burned: 135 (million)
% 60.82/9.45 % (3842225)Instruction limit reached!
% 60.82/9.45 % (3842225)------------------------------
% 60.82/9.45 % (3842225)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 60.82/9.45 % (3842225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.82/9.45 % (3842225)CaDiCaL version: 2.1.3
% 60.82/9.45 % (3842225)Termination reason: Instruction limit
% 60.82/9.45 % (3842225)Termination phase: Saturation
% 60.82/9.45 % (3842225)Time elapsed: 0.518 s
% 60.82/9.45 % (3842225)Peak memory usage: 100 MB
% 60.82/9.45 % (3842225)Instructions burned: 908 (million)
% 60.82/9.45 % (3842273)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3818905499:st=8:i=592:sd=3:ep=RST:ss=axioms_2984 on theBenchmark for (2984ds/592Mi)
% 60.82/9.45 % (3842274)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3269923589:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 60.82/9.45 % (3842273)Instruction limit reached!
% 60.82/9.45 % (3842273)------------------------------
% 60.82/9.45 % (3842273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 60.82/9.45 % (3842273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.82/9.45 % (3842273)CaDiCaL version: 2.1.3
% 60.82/9.45 % (3842273)Termination reason: Instruction limit
% 60.82/9.45 % (3842273)Termination phase: Saturation
% 60.82/9.45 % (3842273)Time elapsed: 0.357 s
% 60.82/9.45 % (3842273)Peak memory usage: 95 MB
% 60.82/9.45 % (3842273)Instructions burned: 593 (million)
% 60.82/9.45 % (3842277)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=2128827940:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/125Mi)
% 77.67/11.93 % (3842171)Instruction limit reached!
% 77.67/11.93 % (3842171)------------------------------
% 77.67/11.93 % (3842171)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.67/11.93 % (3842171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.67/11.93 % (3842171)CaDiCaL version: 2.1.3
% 77.67/11.93 % (3842171)Termination reason: Instruction limit
% 77.67/11.93 % (3842171)Termination phase: Saturation
% 77.67/11.93 % (3842171)Time elapsed: 1.482 s
% 77.67/11.93 % (3842171)Peak memory usage: 144 MB
% 77.67/11.93 % (3842171)Instructions burned: 2350 (million)
% 77.67/11.93 % (3842277)Instruction limit reached!
% 77.67/11.93 % (3842277)------------------------------
% 77.67/11.93 % (3842277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.67/11.93 % (3842277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.67/11.93 % (3842277)CaDiCaL version: 2.1.3
% 77.67/11.93 % (3842277)Termination reason: Instruction limit
% 77.67/11.93 % (3842277)Termination phase: Saturation
% 77.67/11.93 % (3842277)Time elapsed: 0.075 s
% 77.67/11.93 % (3842277)Peak memory usage: 91 MB
% 77.67/11.93 % (3842277)Instructions burned: 126 (million)
% 77.67/11.93 % (3842279)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3053317290:i=134:gtgl=5:slsql=off:gtg=exists_sym_2977 on theBenchmark for (2977ds/134Mi)
% 77.67/11.93 % (3842280)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=4035647787:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/141Mi)
% 77.67/11.93 % (3842279)Instruction limit reached!
% 77.67/11.93 % (3842279)------------------------------
% 77.67/11.93 % (3842279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.67/11.93 % (3842279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.67/11.93 % (3842279)CaDiCaL version: 2.1.3
% 77.67/11.93 % (3842279)Termination reason: Instruction limit
% 77.67/11.93 % (3842279)Termination phase: Saturation
% 77.67/11.93 % (3842279)Time elapsed: 0.078 s
% 77.67/11.93 % (3842279)Peak memory usage: 91 MB
% 77.67/11.93 % (3842279)Instructions burned: 134 (million)
% 77.67/11.93 % (3842280)Instruction limit reached!
% 77.67/11.93 % (3842280)------------------------------
% 77.67/11.93 % (3842280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.67/11.93 % (3842280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.67/11.93 % (3842280)CaDiCaL version: 2.1.3
% 77.67/11.93 % (3842280)Termination reason: Instruction limit
% 77.67/11.93 % (3842280)Termination phase: Saturation
% 77.67/11.93 % (3842280)Time elapsed: 0.081 s
% 77.67/11.93 % (3842280)Peak memory usage: 91 MB
% 77.67/11.93 % (3842280)Instructions burned: 143 (million)
% 77.67/11.93 % (3842283)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3426775866:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2975 on theBenchmark for (2975ds/431Mi)
% 77.67/11.93 % (3842284)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=2117186818:i=6060:aac=none:ins=25_2975 on theBenchmark for (2975ds/6060Mi)
% 77.67/11.93 % (3842283)Instruction limit reached!
% 77.67/11.93 % (3842283)------------------------------
% 77.67/11.93 % (3842283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.67/11.93 % (3842283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.67/11.93 % (3842283)CaDiCaL version: 2.1.3
% 77.67/11.93 % (3842283)Termination reason: Instruction limit
% 77.67/11.93 % (3842283)Termination phase: Saturation
% 77.67/11.93 % (3842283)Time elapsed: 0.238 s
% 77.67/11.93 % (3842283)Peak memory usage: 92 MB
% 77.67/11.93 % (3842283)Instructions burned: 432 (million)
% 77.67/11.93 % (3842287)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=2829660393:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2971 on theBenchmark for (2971ds/150Mi)
% 77.67/11.93 % (3842287)Instruction limit reached!
% 77.67/11.93 % (3842287)------------------------------
% 77.67/11.93 % (3842287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.67/11.93 % (3842287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.67/11.93 % (3842287)CaDiCaL version: 2.1.3
% 77.67/11.93 % (3842287)Termination reason: Instruction limit
% 77.67/11.93 % (3842287)Termination phase: Saturation
% 77.67/11.93 % (3842287)Time elapsed: 0.085 s
% 77.67/11.93 % (3842287)Peak memory usage: 93 MB
% 67.02/16.73 % (3842287)Instructions burned: 152 (million)
% 67.02/16.73 % (3842289)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3234335997:i=14155:bd=all_2969 on theBenchmark for (2969ds/14155Mi)
% 67.02/16.73 % (3842269)Instruction limit reached!
% 67.02/16.73 % (3842269)------------------------------
% 67.02/16.73 % (3842269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.02/16.73 % (3842269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.02/16.73 % (3842269)CaDiCaL version: 2.1.3
% 67.02/16.73 % (3842269)Termination reason: Instruction limit
% 67.02/16.73 % (3842269)Termination phase: Saturation
% 67.02/16.73 % (3842269)Time elapsed: 3.417 s
% 67.02/16.73 % (3842269)Peak memory usage: 164 MB
% 67.02/16.73 % (3842269)Instructions burned: 5202 (million)
% 67.02/16.73 % (3842291)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3378623989:i=667:av=off:fsr=off_2953 on theBenchmark for (2953ds/667Mi)
% 67.02/16.73 % (3842291)Instruction limit reached!
% 67.02/16.73 % (3842291)------------------------------
% 67.02/16.73 % (3842291)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.02/16.73 % (3842291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.02/16.73 % (3842291)CaDiCaL version: 2.1.3
% 67.02/16.73 % (3842291)Termination reason: Instruction limit
% 67.02/16.73 % (3842291)Termination phase: Saturation
% 67.02/16.73 % (3842291)Time elapsed: 0.335 s
% 67.02/16.73 % (3842291)Peak memory usage: 101 MB
% 67.02/16.73 % (3842291)Instructions burned: 668 (million)
% 67.02/16.73 % (3842293)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=3735901067:s2a=on:i=185:s2at=1.8:fdi=4_2948 on theBenchmark for (2948ds/185Mi)
% 67.02/16.73 % (3842293)Instruction limit reached!
% 67.02/16.73 % (3842293)------------------------------
% 67.02/16.73 % (3842293)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.02/16.73 % (3842293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.02/16.73 % (3842293)CaDiCaL version: 2.1.3
% 67.02/16.73 % (3842293)Termination reason: Instruction limit
% 67.02/16.73 % (3842293)Termination phase: Saturation
% 67.02/16.73 % (3842293)Time elapsed: 0.108 s
% 67.02/16.73 % (3842293)Peak memory usage: 96 MB
% 67.02/16.73 % (3842293)Instructions burned: 185 (million)
% 67.02/16.73 % (3842295)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=2042648278:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2945 on theBenchmark for (2945ds/193Mi)
% 67.02/16.73 % (3842295)Instruction limit reached!
% 67.02/16.73 % (3842295)------------------------------
% 67.02/16.73 % (3842295)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.02/16.73 % (3842295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.02/16.73 % (3842295)CaDiCaL version: 2.1.3
% 67.02/16.73 % (3842295)Termination reason: Instruction limit
% 67.02/16.73 % (3842295)Termination phase: Saturation
% 67.02/16.73 % (3842295)Time elapsed: 0.126 s
% 67.02/16.73 % (3842295)Peak memory usage: 91 MB
% 67.02/16.73 % (3842295)Instructions burned: 194 (million)
% 67.02/16.73 % (3842297)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=1288072303:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2943 on theBenchmark for (2943ds/4850Mi)
% 67.02/16.73 % (3842284)Instruction limit reached!
% 67.02/16.73 % (3842284)------------------------------
% 67.02/16.73 % (3842284)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.02/16.73 % (3842284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.02/16.73 % (3842284)CaDiCaL version: 2.1.3
% 67.02/16.73 % (3842284)Termination reason: Instruction limit
% 67.02/16.73 % (3842284)Termination phase: Saturation
% 67.02/16.73 % (3842284)Time elapsed: 3.496 s
% 67.02/16.73 % (3842284)Peak memory usage: 150 MB
% 67.02/16.73 % (3842284)Instructions burned: 6061 (million)
% 67.02/16.73 % (3842299)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=1414262801:i=12111:sd=1:ss=included_2938 on theBenchmark for (2938ds/12111Mi)
% 67.02/16.73 % (3842297)Instruction limit reached!
% 67.02/16.73 % (3842297)------------------------------
% 67.02/16.73 % (3842297)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.02/16.73 % (3842297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.02/16.73 % (3842297)CaDiCaL version: 2.1.3
% 67.02/16.73 % (3842297)Termination reason: Instruction limit
% 67.02/16.73 % (3842297)Termination phase: Saturation
% 67.02/16.73 % (3842297)Time elapsed: 2.725 s
% 67.02/16.73 % (3842297)Peak memory usage: 144 MB
% 67.02/16.73 % (3842297)Instructions burned: 4851 (million)
% 67.02/16.73 % (3842301)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=504934017:i=319:kws=precedence:fsr=off_2914 on theBenchmark for (2914ds/319Mi)
% 67.02/16.73 % (3842301)Instruction limit reached!
% 67.02/16.73 % (3842301)------------------------------
% 67.02/16.73 % (3842301)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.02/16.73 % (3842301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.02/16.73 % (3842301)CaDiCaL version: 2.1.3
% 67.02/16.73 % (3842301)Termination reason: Instruction limit
% 67.02/16.73 % (3842301)Termination phase: Saturation
% 67.02/16.73 % (3842301)Time elapsed: 0.178 s
% 67.02/16.73 % (3842301)Peak memory usage: 93 MB
% 67.02/16.73 % (3842301)Instructions burned: 319 (million)
% 67.02/16.73 % (3842303)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=3332535962:i=2064:ep=RST_2910 on theBenchmark for (2910ds/2064Mi)
% 67.02/16.73 % (3842274)Instruction limit reached!
% 67.02/16.73 % (3842274)------------------------------
% 67.02/16.73 % (3842274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.02/16.73 % (3842274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.02/16.73 % (3842274)CaDiCaL version: 2.1.3
% 67.02/16.73 % (3842274)Termination reason: Instruction limit
% 67.02/16.73 % (3842274)Termination phase: Saturation
% 67.02/16.73 % (3842274)Time elapsed: 7.671 s
% 67.02/16.73 % (3842274)Peak memory usage: 241 MB
% 67.02/16.73 % (3842274)Instructions burned: 13193 (million)
% 67.02/16.73 % (3842305)dis-1011_128_sil=32000:random_seed=270757772:i=3706:ep=RST:av=off_2906 on theBenchmark for (2906ds/3706Mi)
% 67.02/16.73 % (3842303)Instruction limit reached!
% 67.02/16.73 % (3842303)------------------------------
% 67.02/16.73 % (3842303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.02/16.73 % (3842303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.02/16.73 % (3842303)CaDiCaL version: 2.1.3
% 67.02/16.73 % (3842303)Termination reason: Instruction limit
% 67.02/16.73 % (3842303)Termination phase: Saturation
% 67.02/16.73 % (3842303)Time elapsed: 1.203 s
% 67.02/16.73 % (3842303)Peak memory usage: 126 MB
% 67.02/16.73 % (3842303)Instructions burned: 2066 (million)
% 67.02/16.73 % (3842307)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=1143106389:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2896 on theBenchmark for (2896ds/757Mi)
% 67.02/16.73 % (3842305)Instruction limit reached!
% 67.02/16.73 % (3842305)------------------------------
% 67.02/16.73 % (3842305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.02/16.73 % (3842305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.02/16.73 % (3842305)CaDiCaL version: 2.1.3
% 67.02/16.73 % (3842305)Termination reason: Instruction limit
% 67.02/16.73 % (3842305)Termination phase: Saturation
% 67.02/16.73 % (3842305)Time elapsed: 1.272 s
% 67.02/16.73 % (3842305)Peak memory usage: 89 MB
% 67.02/16.73 % (3842305)Instructions burned: 3707 (million)
% 67.02/16.73 % (3842309)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=2897603848:i=13913:ss=axioms:sgt=8_2891 on theBenchmark for (2891ds/13913Mi)
% 67.02/16.73 % (3842289)Instruction limit reached!
% 67.02/16.73 % (3842289)------------------------------
% 67.02/16.73 % (3842289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.02/16.73 % (3842289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.02/16.73 % (3842289)CaDiCaL version: 2.1.3
% 67.02/16.73 % (3842289)Termination reason: Instruction limit
% 67.02/16.73 % (3842289)Termination phase: Saturation
% 67.02/16.73 % (3842289)Time elapsed: 7.782 s
% 67.02/16.73 % (3842289)Peak memory usage: 245 MB
% 67.02/16.73 % (3842289)Instructions burned: 14155 (million)
% 67.02/16.73 % (3842307)Instruction limit reached!
% 67.02/16.73 % (3842307)------------------------------
% 67.02/16.73 % (3842307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.02/16.73 % (3842307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.02/16.73 % (3842307)CaDiCaL version: 2.1.3
% 67.02/16.73 % (3842307)Termination reason: Instruction limit
% 67.02/16.73 % (3842307)Termination phase: Saturation
% 67.02/16.73 % (3842307)Time elapsed: 0.588 s
% 67.02/16.73 % (3842307)Peak memory usage: 97 MB
% 67.02/16.73 % (3842307)Instructions burned: 757 (million)
% 67.02/16.73 % (3842311)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=3661174787:i=9925:aac=none_2889 on theBenchmark for (2889ds/9925Mi)
% 67.02/16.73 % (3842312)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=4126464228:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2889 on theBenchmark for (2889ds/2479Mi)
% 67.02/16.73 % (3842299)Instruction limit reached!
% 67.02/16.73 % (3842299)------------------------------
% 67.02/16.73 % (3842299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.02/16.73 % (3842299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.02/16.73 % (3842299)CaDiCaL version: 2.1.3
% 67.02/16.73 % (3842299)Termination reason: Instruction limit
% 67.02/16.73 % (3842299)Termination phase: Saturation
% 67.02/16.73 % (3842299)Time elapsed: 6.277 s
% 67.02/16.73 % (3842299)Peak memory usage: 285 MB
% 67.02/16.73 % (3842299)Instructions burned: 12112 (million)
% 67.02/16.73 % (3842312)Instruction limit reached!
% 67.02/16.73 % (3842312)------------------------------
% 67.02/16.73 % (3842312)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.02/16.73 % (3842312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.02/16.73 % (3842312)CaDiCaL version: 2.1.3
% 67.02/16.73 % (3842312)Termination reason: Instruction limit
% 67.02/16.73 % (3842312)Termination phase: Saturation
% 67.02/16.73 % (3842312)Time elapsed: 1.401 s
% 67.02/16.73 % (3842312)Peak memory usage: 113 MB
% 67.02/16.73 % (3842312)Instructions burned: 2479 (million)
% 67.02/16.73 % (3842315)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=1033276443:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2873 on theBenchmark for (2873ds/440Mi)
% 67.02/16.73 % (3842316)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=3140584105:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2873 on theBenchmark for (2873ds/11145Mi)
% 67.02/16.73 % (3842315)Instruction limit reached!
% 67.02/16.73 % (3842315)------------------------------
% 67.02/16.73 % (3842315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.02/16.73 % (3842315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.02/16.73 % (3842315)CaDiCaL version: 2.1.3
% 67.02/16.73 % (3842315)Termination reason: Instruction limit
% 67.02/16.73 % (3842315)Termination phase: Saturation
% 67.02/16.73 % (3842315)Time elapsed: 0.240 s
% 67.02/16.73 % (3842315)Peak memory usage: 93 MB
% 67.02/16.73 % (3842315)Instructions burned: 442 (million)
% 67.02/16.73 % (3842319)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=2677480563:cts=off:i=3034:av=off:er=known:fsd=on_2869 on theBenchmark for (2869ds/3034Mi)
% 67.02/16.73 % (3842319)Instruction limit reached!
% 67.02/16.73 % (3842319)------------------------------
% 67.02/16.73 % (3842319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.02/16.73 % (3842319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.02/16.73 % (3842319)CaDiCaL version: 2.1.3
% 67.02/16.73 % (3842319)Termination reason: Instruction limit
% 67.02/16.73 % (3842319)Termination phase: Saturation
% 67.02/16.73 % (3842319)Time elapsed: 1.633 s
% 67.02/16.73 % (3842319)Peak memory usage: 133 MB
% 67.02/16.73 % (3842319)Instructions burned: 3036 (million)
% 67.02/16.73 % (3842580)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=3743431796:st=2:s2a=on:i=524:s2at=2:ss=axioms_2851 on theBenchmark for (2851ds/524Mi)
% 67.02/16.73 % (3842580)Instruction limit reached!
% 67.02/16.73 % (3842580)------------------------------
% 67.02/16.73 % (3842580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.02/16.73 % (3842580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.02/16.73 % (3842580)CaDiCaL version: 2.1.3
% 67.02/16.73 % (3842580)Termination reason: Instruction limit
% 67.02/16.73 % (3842580)Termination phase: Saturation
% 67.02/16.73 % (3842580)Time elapsed: 0.251 s
% 67.02/16.73 % (3842580)Peak memory usage: 94 MB
% 67.02/16.73 % (3842580)Instructions burned: 525 (million)
% 67.02/16.73 % (3842582)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=550258975:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2847 on theBenchmark for (2847ds/1016Mi)
% 67.02/16.73 % (3842055)First to succeed.
% 67.02/16.73 % (3842055)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3841947"
% 67.02/16.73 % (3842055)Refutation found. Thanks to Tanya!
% 67.02/16.73 % SZS status Theorem for theBenchmark
% 67.02/16.73 % SZS output start Proof for theBenchmark
% See solution above
% 112.99/16.93 % (3842055)------------------------------
% 112.99/16.93 % (3842055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 112.99/16.93 % (3842055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.99/16.93 % (3842055)CaDiCaL version: 2.1.3
% 112.99/16.93 % (3842055)Termination reason: Refutation
% 112.99/16.93 % (3842055)Time elapsed: 15.496 s
% 112.99/16.93 % (3842055)Peak memory usage: 426 MB
% 112.99/16.93 % (3842055)Instructions burned: 42813 (million)
% 112.99/16.93 % (3842055)------------------------------
% 112.99/16.93 % (3842055)------------------------------
% 112.99/16.93 % (3841947)Success in time 15.856 s
% 112.99/16.93 % Vampire exiting
%------------------------------------------------------------------------------