TSTP Solution File: NUM447+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM447+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 11:30:32 EDT 2023
% Result : CounterSatisfiable 2.08s 1.05s
% Output : Saturation 2.08s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% 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(f5,axiom,
! [X0,X1] :
( ( aInteger0(X1)
& aInteger0(X0) )
=> aInteger0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntPlus) ).
fof(f6,axiom,
! [X0,X1] :
( ( aInteger0(X1)
& aInteger0(X0) )
=> aInteger0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntMult) ).
fof(f7,axiom,
! [X0,X1,X2] :
( ( aInteger0(X2)
& aInteger0(X1)
& aInteger0(X0) )
=> sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddAsso) ).
fof(f8,axiom,
! [X0,X1] :
( ( aInteger0(X1)
& aInteger0(X0) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
fof(f9,axiom,
! [X0] :
( aInteger0(X0)
=> ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddZero) ).
fof(f10,axiom,
! [X0] :
( aInteger0(X0)
=> ( sz00 = sdtpldt0(smndt0(X0),X0)
& sz00 = sdtpldt0(X0,smndt0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddNeg) ).
fof(f11,axiom,
! [X0,X1,X2] :
( ( aInteger0(X2)
& aInteger0(X1)
& aInteger0(X0) )
=> sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulAsso) ).
fof(f12,axiom,
! [X0,X1] :
( ( aInteger0(X1)
& aInteger0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
fof(f13,axiom,
! [X0] :
( aInteger0(X0)
=> ( sdtasdt0(sz10,X0) = X0
& sdtasdt0(X0,sz10) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulOne) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aInteger0(X2)
& aInteger0(X1)
& aInteger0(X0) )
=> ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDistrib) ).
fof(f15,axiom,
! [X0] :
( aInteger0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulZero) ).
fof(f16,axiom,
! [X0] :
( aInteger0(X0)
=> ( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
& smndt0(X0) = sdtasdt0(smndt0(sz10),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulMinOne) ).
fof(f17,axiom,
! [X0,X1] :
( ( aInteger0(X1)
& aInteger0(X0) )
=> ( sz00 = sdtasdt0(X0,X1)
=> ( sz00 = X1
| sz00 = X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroDiv) ).
fof(f18,axiom,
! [X0] :
( aInteger0(X0)
=> ! [X1] :
( aDivisorOf0(X1,X0)
<=> ( ? [X2] :
( sdtasdt0(X1,X2) = X0
& aInteger0(X2) )
& sz00 != X1
& aInteger0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivisor) ).
fof(f19,axiom,
! [X0,X1,X2] :
( ( sz00 != X2
& aInteger0(X2)
& aInteger0(X1)
& aInteger0(X0) )
=> ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
<=> aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEquMod) ).
fof(f20,axiom,
! [X0,X1] :
( ( sz00 != X1
& aInteger0(X1)
& aInteger0(X0) )
=> sdteqdtlpzmzozddtrp0(X0,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEquModRef) ).
fof(f21,axiom,
! [X0,X1,X2] :
( ( sz00 != X2
& aInteger0(X2)
& aInteger0(X1)
& aInteger0(X0) )
=> ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
=> sdteqdtlpzmzozddtrp0(X1,X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEquModSym) ).
fof(f22,axiom,
! [X0,X1,X2,X3] :
( ( aInteger0(X3)
& sz00 != X2
& aInteger0(X2)
& aInteger0(X1)
& aInteger0(X0) )
=> ( ( sdteqdtlpzmzozddtrp0(X1,X3,X2)
& sdteqdtlpzmzozddtrp0(X0,X1,X2) )
=> sdteqdtlpzmzozddtrp0(X0,X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEquModTrn) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( ( sz00 != X3
& aInteger0(X3)
& sz00 != X2
& aInteger0(X2)
& aInteger0(X1)
& aInteger0(X0) )
=> ( sdteqdtlpzmzozddtrp0(X0,X1,sdtasdt0(X2,X3))
=> ( sdteqdtlpzmzozddtrp0(X0,X1,X3)
& sdteqdtlpzmzozddtrp0(X0,X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEquModMul) ).
fof(f25,axiom,
! [X0] :
( aInteger0(X0)
=> ( ? [X1] :
( isPrime0(X1)
& aDivisorOf0(X1,X0) )
<=> ( smndt0(sz10) != X0
& sz10 != X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mPrimeDivisor) ).
fof(f28,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubset) ).
fof(f30,axiom,
! [X0,X1] :
( ( aSubsetOf0(X1,cS1395)
& aSubsetOf0(X0,cS1395) )
=> ! [X2] :
( sdtbsmnsldt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( aElementOf0(X3,X1)
| aElementOf0(X3,X0) )
& aInteger0(X3) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mUnion) ).
fof(f31,axiom,
! [X0,X1] :
( ( aSubsetOf0(X1,cS1395)
& aSubsetOf0(X0,cS1395) )
=> ! [X2] :
( sdtslmnbsdt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,X1)
& aElementOf0(X3,X0)
& aInteger0(X3) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntersection) ).
fof(f32,axiom,
! [X0] :
( ( ! [X1] :
( aElementOf0(X1,X0)
=> aSubsetOf0(X1,cS1395) )
& aSet0(X0) )
=> ! [X1] :
( sbsmnsldt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( ? [X3] :
( aElementOf0(X2,X3)
& aElementOf0(X3,X0) )
& aInteger0(X2) ) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mUnionSet) ).
fof(f33,axiom,
! [X0] :
( aSubsetOf0(X0,cS1395)
=> ! [X1] :
( stldt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( ~ aElementOf0(X2,X0)
& aInteger0(X2) ) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mComplement) ).
fof(f34,axiom,
! [X0,X1] :
( ( sz00 != X1
& aInteger0(X1)
& aInteger0(X0) )
=> ! [X2] :
( szAzrzSzezqlpdtcmdtrp0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aInteger0(X3) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mArSeq) ).
fof(f35,axiom,
! [X0] :
( aSubsetOf0(X0,cS1395)
=> ( isOpen0(X0)
<=> ! [X1] :
( aElementOf0(X1,X0)
=> ? [X2] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),X0)
& sz00 != X2
& aInteger0(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mOpen) ).
fof(f36,axiom,
! [X0] :
( aSubsetOf0(X0,cS1395)
=> ( isClosed0(X0)
<=> isOpen0(stldt0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mClosed) ).
fof(f37,axiom,
! [X0] :
( ( ! [X1] :
( aElementOf0(X1,X0)
=> ( isOpen0(X1)
& aSubsetOf0(X1,cS1395) ) )
& aSet0(X0) )
=> isOpen0(sbsmnsldt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mUnionOpen) ).
fof(f38,axiom,
! [X0,X1] :
( ( isOpen0(X1)
& isOpen0(X0)
& aSubsetOf0(X1,cS1395)
& aSubsetOf0(X0,cS1395) )
=> isOpen0(sdtslmnbsdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mInterOpen) ).
fof(f39,axiom,
! [X0,X1] :
( ( isClosed0(X1)
& isClosed0(X0)
& aSubsetOf0(X1,cS1395)
& aSubsetOf0(X0,cS1395) )
=> isClosed0(sdtbsmnsldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mUnionClosed) ).
fof(f41,axiom,
! [X0,X1] :
( ( sz00 != X1
& aInteger0(X1)
& aInteger0(X0) )
=> ( isClosed0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),cS1395) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mArSeqClosed) ).
fof(f42,axiom,
xS = cS2043,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2046) ).
fof(f43,axiom,
aInteger0(xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2106) ).
fof(f44,conjecture,
( aElementOf0(xn,sbsmnsldt0(xS))
<=> ? [X0] :
( isPrime0(X0)
& aDivisorOf0(X0,xn) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f45,negated_conjecture,
~ ( aElementOf0(xn,sbsmnsldt0(xS))
<=> ? [X0] :
( isPrime0(X0)
& aDivisorOf0(X0,xn) ) ),
inference(negated_conjecture,[],[f44]) ).
fof(f51,plain,
! [X0] :
( ( ! [X1] :
( aElementOf0(X1,X0)
=> aSubsetOf0(X1,cS1395) )
& aSet0(X0) )
=> ! [X2] :
( sbsmnsldt0(X0) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ? [X4] :
( aElementOf0(X3,X4)
& aElementOf0(X4,X0) )
& aInteger0(X3) ) )
& aSet0(X2) ) ) ),
inference(rectify,[],[f32]) ).
fof(f53,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f54,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f55,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f54]) ).
fof(f56,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f57,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f56]) ).
fof(f58,plain,
! [X0,X1,X2] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f59,plain,
! [X0,X1,X2] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f58]) ).
fof(f60,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f61,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f60]) ).
fof(f62,plain,
! [X0] :
( ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f63,plain,
! [X0] :
( ( sz00 = sdtpldt0(smndt0(X0),X0)
& sz00 = sdtpldt0(X0,smndt0(X0)) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f64,plain,
! [X0,X1,X2] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f65,plain,
! [X0,X1,X2] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f64]) ).
fof(f66,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f67,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f66]) ).
fof(f68,plain,
! [X0] :
( ( sdtasdt0(sz10,X0) = X0
& sdtasdt0(X0,sz10) = X0 )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f69]) ).
fof(f71,plain,
! [X0] :
( ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f72,plain,
! [X0] :
( ( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
& smndt0(X0) = sdtasdt0(smndt0(sz10),X0) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f73,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f74,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f73]) ).
fof(f75,plain,
! [X0] :
( ! [X1] :
( aDivisorOf0(X1,X0)
<=> ( ? [X2] :
( sdtasdt0(X1,X2) = X0
& aInteger0(X2) )
& sz00 != X1
& aInteger0(X1) ) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f76,plain,
! [X0,X1,X2] :
( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
<=> aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) )
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f77,plain,
! [X0,X1,X2] :
( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
<=> aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) )
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f76]) ).
fof(f78,plain,
! [X0,X1] :
( sdteqdtlpzmzozddtrp0(X0,X0,X1)
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f79,plain,
! [X0,X1] :
( sdteqdtlpzmzozddtrp0(X0,X0,X1)
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f78]) ).
fof(f80,plain,
! [X0,X1,X2] :
( sdteqdtlpzmzozddtrp0(X1,X0,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f81,plain,
! [X0,X1,X2] :
( sdteqdtlpzmzozddtrp0(X1,X0,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f80]) ).
fof(f82,plain,
! [X0,X1,X2,X3] :
( sdteqdtlpzmzozddtrp0(X0,X3,X2)
| ~ sdteqdtlpzmzozddtrp0(X1,X3,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aInteger0(X3)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f83,plain,
! [X0,X1,X2,X3] :
( sdteqdtlpzmzozddtrp0(X0,X3,X2)
| ~ sdteqdtlpzmzozddtrp0(X1,X3,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aInteger0(X3)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f82]) ).
fof(f84,plain,
! [X0,X1,X2,X3] :
( ( sdteqdtlpzmzozddtrp0(X0,X1,X3)
& sdteqdtlpzmzozddtrp0(X0,X1,X2) )
| ~ sdteqdtlpzmzozddtrp0(X0,X1,sdtasdt0(X2,X3))
| sz00 = X3
| ~ aInteger0(X3)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f85,plain,
! [X0,X1,X2,X3] :
( ( sdteqdtlpzmzozddtrp0(X0,X1,X3)
& sdteqdtlpzmzozddtrp0(X0,X1,X2) )
| ~ sdteqdtlpzmzozddtrp0(X0,X1,sdtasdt0(X2,X3))
| sz00 = X3
| ~ aInteger0(X3)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f84]) ).
fof(f86,plain,
! [X0] :
( ( ? [X1] :
( isPrime0(X1)
& aDivisorOf0(X1,X0) )
<=> ( smndt0(sz10) != X0
& sz10 != X0 ) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f87,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f88,plain,
! [X0,X1] :
( ! [X2] :
( sdtbsmnsldt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( aElementOf0(X3,X1)
| aElementOf0(X3,X0) )
& aInteger0(X3) ) )
& aSet0(X2) ) )
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(ennf_transformation,[],[f30]) ).
fof(f89,plain,
! [X0,X1] :
( ! [X2] :
( sdtbsmnsldt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( aElementOf0(X3,X1)
| aElementOf0(X3,X0) )
& aInteger0(X3) ) )
& aSet0(X2) ) )
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(flattening,[],[f88]) ).
fof(f90,plain,
! [X0,X1] :
( ! [X2] :
( sdtslmnbsdt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,X1)
& aElementOf0(X3,X0)
& aInteger0(X3) ) )
& aSet0(X2) ) )
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(ennf_transformation,[],[f31]) ).
fof(f91,plain,
! [X0,X1] :
( ! [X2] :
( sdtslmnbsdt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,X1)
& aElementOf0(X3,X0)
& aInteger0(X3) ) )
& aSet0(X2) ) )
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(flattening,[],[f90]) ).
fof(f92,plain,
! [X0] :
( ! [X2] :
( sbsmnsldt0(X0) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ? [X4] :
( aElementOf0(X3,X4)
& aElementOf0(X4,X0) )
& aInteger0(X3) ) )
& aSet0(X2) ) )
| ? [X1] :
( ~ aSubsetOf0(X1,cS1395)
& aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f93,plain,
! [X0] :
( ! [X2] :
( sbsmnsldt0(X0) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ? [X4] :
( aElementOf0(X3,X4)
& aElementOf0(X4,X0) )
& aInteger0(X3) ) )
& aSet0(X2) ) )
| ? [X1] :
( ~ aSubsetOf0(X1,cS1395)
& aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(flattening,[],[f92]) ).
fof(f94,plain,
! [X0] :
( ! [X1] :
( stldt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( ~ aElementOf0(X2,X0)
& aInteger0(X2) ) )
& aSet0(X1) ) )
| ~ aSubsetOf0(X0,cS1395) ),
inference(ennf_transformation,[],[f33]) ).
fof(f95,plain,
! [X0,X1] :
( ! [X2] :
( szAzrzSzezqlpdtcmdtrp0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aInteger0(X3) ) )
& aSet0(X2) ) )
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f96,plain,
! [X0,X1] :
( ! [X2] :
( szAzrzSzezqlpdtcmdtrp0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aInteger0(X3) ) )
& aSet0(X2) ) )
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f95]) ).
fof(f97,plain,
! [X0] :
( ( isOpen0(X0)
<=> ! [X1] :
( ? [X2] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),X0)
& sz00 != X2
& aInteger0(X2) )
| ~ aElementOf0(X1,X0) ) )
| ~ aSubsetOf0(X0,cS1395) ),
inference(ennf_transformation,[],[f35]) ).
fof(f98,plain,
! [X0] :
( ( isClosed0(X0)
<=> isOpen0(stldt0(X0)) )
| ~ aSubsetOf0(X0,cS1395) ),
inference(ennf_transformation,[],[f36]) ).
fof(f99,plain,
! [X0] :
( isOpen0(sbsmnsldt0(X0))
| ? [X1] :
( ( ~ isOpen0(X1)
| ~ aSubsetOf0(X1,cS1395) )
& aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f100,plain,
! [X0] :
( isOpen0(sbsmnsldt0(X0))
| ? [X1] :
( ( ~ isOpen0(X1)
| ~ aSubsetOf0(X1,cS1395) )
& aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(flattening,[],[f99]) ).
fof(f101,plain,
! [X0,X1] :
( isOpen0(sdtslmnbsdt0(X0,X1))
| ~ isOpen0(X1)
| ~ isOpen0(X0)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(ennf_transformation,[],[f38]) ).
fof(f102,plain,
! [X0,X1] :
( isOpen0(sdtslmnbsdt0(X0,X1))
| ~ isOpen0(X1)
| ~ isOpen0(X0)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(flattening,[],[f101]) ).
fof(f103,plain,
! [X0,X1] :
( isClosed0(sdtbsmnsldt0(X0,X1))
| ~ isClosed0(X1)
| ~ isClosed0(X0)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(ennf_transformation,[],[f39]) ).
fof(f104,plain,
! [X0,X1] :
( isClosed0(sdtbsmnsldt0(X0,X1))
| ~ isClosed0(X1)
| ~ isClosed0(X0)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(flattening,[],[f103]) ).
fof(f105,plain,
! [X0,X1] :
( ( isClosed0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),cS1395) )
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f106,plain,
! [X0,X1] :
( ( isClosed0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),cS1395) )
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f105]) ).
fof(f107,plain,
( aElementOf0(xn,sbsmnsldt0(xS))
<~> ? [X0] :
( isPrime0(X0)
& aDivisorOf0(X0,xn) ) ),
inference(ennf_transformation,[],[f45]) ).
fof(f108,plain,
! [X1,X0,X2] :
( sP0(X1,X0,X2)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( aElementOf0(X3,X1)
| aElementOf0(X3,X0) )
& aInteger0(X3) ) )
& aSet0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f109,plain,
! [X0,X1] :
( ! [X2] :
( sdtbsmnsldt0(X0,X1) = X2
<=> sP0(X1,X0,X2) )
| ~ sP1(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f110,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(definition_folding,[],[f89,f109,f108]) ).
fof(f111,plain,
! [X1,X0,X2] :
( sP2(X1,X0,X2)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,X1)
& aElementOf0(X3,X0)
& aInteger0(X3) ) )
& aSet0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f112,plain,
! [X0,X1] :
( ! [X2] :
( sdtslmnbsdt0(X0,X1) = X2
<=> sP2(X1,X0,X2) )
| ~ sP3(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f113,plain,
! [X0,X1] :
( sP3(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(definition_folding,[],[f91,f112,f111]) ).
fof(f114,plain,
! [X0,X2] :
( sP4(X0,X2)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ? [X4] :
( aElementOf0(X3,X4)
& aElementOf0(X4,X0) )
& aInteger0(X3) ) )
& aSet0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f115,plain,
! [X0] :
( ! [X2] :
( sbsmnsldt0(X0) = X2
<=> sP4(X0,X2) )
| ~ sP5(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f116,plain,
! [X0] :
( sP5(X0)
| ? [X1] :
( ~ aSubsetOf0(X1,cS1395)
& aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(definition_folding,[],[f93,f115,f114]) ).
fof(f117,plain,
! [X0] :
( ! [X1] :
( ( aDivisorOf0(X1,X0)
| ! [X2] :
( sdtasdt0(X1,X2) != X0
| ~ aInteger0(X2) )
| sz00 = X1
| ~ aInteger0(X1) )
& ( ( ? [X2] :
( sdtasdt0(X1,X2) = X0
& aInteger0(X2) )
& sz00 != X1
& aInteger0(X1) )
| ~ aDivisorOf0(X1,X0) ) )
| ~ aInteger0(X0) ),
inference(nnf_transformation,[],[f75]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( ( aDivisorOf0(X1,X0)
| ! [X2] :
( sdtasdt0(X1,X2) != X0
| ~ aInteger0(X2) )
| sz00 = X1
| ~ aInteger0(X1) )
& ( ( ? [X2] :
( sdtasdt0(X1,X2) = X0
& aInteger0(X2) )
& sz00 != X1
& aInteger0(X1) )
| ~ aDivisorOf0(X1,X0) ) )
| ~ aInteger0(X0) ),
inference(flattening,[],[f117]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( ( aDivisorOf0(X1,X0)
| ! [X2] :
( sdtasdt0(X1,X2) != X0
| ~ aInteger0(X2) )
| sz00 = X1
| ~ aInteger0(X1) )
& ( ( ? [X3] :
( sdtasdt0(X1,X3) = X0
& aInteger0(X3) )
& sz00 != X1
& aInteger0(X1) )
| ~ aDivisorOf0(X1,X0) ) )
| ~ aInteger0(X0) ),
inference(rectify,[],[f118]) ).
fof(f120,plain,
! [X0,X1] :
( ? [X3] :
( sdtasdt0(X1,X3) = X0
& aInteger0(X3) )
=> ( sdtasdt0(X1,sK6(X0,X1)) = X0
& aInteger0(sK6(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f121,plain,
! [X0] :
( ! [X1] :
( ( aDivisorOf0(X1,X0)
| ! [X2] :
( sdtasdt0(X1,X2) != X0
| ~ aInteger0(X2) )
| sz00 = X1
| ~ aInteger0(X1) )
& ( ( sdtasdt0(X1,sK6(X0,X1)) = X0
& aInteger0(sK6(X0,X1))
& sz00 != X1
& aInteger0(X1) )
| ~ aDivisorOf0(X1,X0) ) )
| ~ aInteger0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f119,f120]) ).
fof(f122,plain,
! [X0,X1,X2] :
( ( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) )
& ( aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1)))
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2) ) )
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(nnf_transformation,[],[f77]) ).
fof(f123,plain,
! [X0] :
( ( ( ? [X1] :
( isPrime0(X1)
& aDivisorOf0(X1,X0) )
| smndt0(sz10) = X0
| sz10 = X0 )
& ( ( smndt0(sz10) != X0
& sz10 != X0 )
| ! [X1] :
( ~ isPrime0(X1)
| ~ aDivisorOf0(X1,X0) ) ) )
| ~ aInteger0(X0) ),
inference(nnf_transformation,[],[f86]) ).
fof(f124,plain,
! [X0] :
( ( ( ? [X1] :
( isPrime0(X1)
& aDivisorOf0(X1,X0) )
| smndt0(sz10) = X0
| sz10 = X0 )
& ( ( smndt0(sz10) != X0
& sz10 != X0 )
| ! [X1] :
( ~ isPrime0(X1)
| ~ aDivisorOf0(X1,X0) ) ) )
| ~ aInteger0(X0) ),
inference(flattening,[],[f123]) ).
fof(f125,plain,
! [X0] :
( ( ( ? [X1] :
( isPrime0(X1)
& aDivisorOf0(X1,X0) )
| smndt0(sz10) = X0
| sz10 = X0 )
& ( ( smndt0(sz10) != X0
& sz10 != X0 )
| ! [X2] :
( ~ isPrime0(X2)
| ~ aDivisorOf0(X2,X0) ) ) )
| ~ aInteger0(X0) ),
inference(rectify,[],[f124]) ).
fof(f126,plain,
! [X0] :
( ? [X1] :
( isPrime0(X1)
& aDivisorOf0(X1,X0) )
=> ( isPrime0(sK7(X0))
& aDivisorOf0(sK7(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f127,plain,
! [X0] :
( ( ( ( isPrime0(sK7(X0))
& aDivisorOf0(sK7(X0),X0) )
| smndt0(sz10) = X0
| sz10 = X0 )
& ( ( smndt0(sz10) != X0
& sz10 != X0 )
| ! [X2] :
( ~ isPrime0(X2)
| ~ aDivisorOf0(X2,X0) ) ) )
| ~ aInteger0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f125,f126]) ).
fof(f128,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f87]) ).
fof(f129,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(flattening,[],[f128]) ).
fof(f130,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(rectify,[],[f129]) ).
fof(f131,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK8(X0,X1),X0)
& aElementOf0(sK8(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ( ~ aElementOf0(sK8(X0,X1),X0)
& aElementOf0(sK8(X0,X1),X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f130,f131]) ).
fof(f133,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtbsmnsldt0(X0,X1) = X2
| ~ sP0(X1,X0,X2) )
& ( sP0(X1,X0,X2)
| sdtbsmnsldt0(X0,X1) != X2 ) )
| ~ sP1(X0,X1) ),
inference(nnf_transformation,[],[f109]) ).
fof(f134,plain,
! [X1,X0,X2] :
( ( sP0(X1,X0,X2)
| ? [X3] :
( ( ( ~ aElementOf0(X3,X1)
& ~ aElementOf0(X3,X0) )
| ~ aInteger0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ( aElementOf0(X3,X1)
| aElementOf0(X3,X0) )
& aInteger0(X3) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| ( ~ aElementOf0(X3,X1)
& ~ aElementOf0(X3,X0) )
| ~ aInteger0(X3) )
& ( ( ( aElementOf0(X3,X1)
| aElementOf0(X3,X0) )
& aInteger0(X3) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP0(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f108]) ).
fof(f135,plain,
! [X1,X0,X2] :
( ( sP0(X1,X0,X2)
| ? [X3] :
( ( ( ~ aElementOf0(X3,X1)
& ~ aElementOf0(X3,X0) )
| ~ aInteger0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ( aElementOf0(X3,X1)
| aElementOf0(X3,X0) )
& aInteger0(X3) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| ( ~ aElementOf0(X3,X1)
& ~ aElementOf0(X3,X0) )
| ~ aInteger0(X3) )
& ( ( ( aElementOf0(X3,X1)
| aElementOf0(X3,X0) )
& aInteger0(X3) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP0(X1,X0,X2) ) ),
inference(flattening,[],[f134]) ).
fof(f136,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ? [X3] :
( ( ( ~ aElementOf0(X3,X0)
& ~ aElementOf0(X3,X1) )
| ~ aInteger0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ( aElementOf0(X3,X0)
| aElementOf0(X3,X1) )
& aInteger0(X3) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| ( ~ aElementOf0(X4,X0)
& ~ aElementOf0(X4,X1) )
| ~ aInteger0(X4) )
& ( ( ( aElementOf0(X4,X0)
| aElementOf0(X4,X1) )
& aInteger0(X4) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f135]) ).
fof(f137,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ( ~ aElementOf0(X3,X0)
& ~ aElementOf0(X3,X1) )
| ~ aInteger0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ( aElementOf0(X3,X0)
| aElementOf0(X3,X1) )
& aInteger0(X3) )
| aElementOf0(X3,X2) ) )
=> ( ( ( ~ aElementOf0(sK9(X0,X1,X2),X0)
& ~ aElementOf0(sK9(X0,X1,X2),X1) )
| ~ aInteger0(sK9(X0,X1,X2))
| ~ aElementOf0(sK9(X0,X1,X2),X2) )
& ( ( ( aElementOf0(sK9(X0,X1,X2),X0)
| aElementOf0(sK9(X0,X1,X2),X1) )
& aInteger0(sK9(X0,X1,X2)) )
| aElementOf0(sK9(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f138,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ( ( ( ~ aElementOf0(sK9(X0,X1,X2),X0)
& ~ aElementOf0(sK9(X0,X1,X2),X1) )
| ~ aInteger0(sK9(X0,X1,X2))
| ~ aElementOf0(sK9(X0,X1,X2),X2) )
& ( ( ( aElementOf0(sK9(X0,X1,X2),X0)
| aElementOf0(sK9(X0,X1,X2),X1) )
& aInteger0(sK9(X0,X1,X2)) )
| aElementOf0(sK9(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| ( ~ aElementOf0(X4,X0)
& ~ aElementOf0(X4,X1) )
| ~ aInteger0(X4) )
& ( ( ( aElementOf0(X4,X0)
| aElementOf0(X4,X1) )
& aInteger0(X4) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f136,f137]) ).
fof(f139,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtslmnbsdt0(X0,X1) = X2
| ~ sP2(X1,X0,X2) )
& ( sP2(X1,X0,X2)
| sdtslmnbsdt0(X0,X1) != X2 ) )
| ~ sP3(X0,X1) ),
inference(nnf_transformation,[],[f112]) ).
fof(f140,plain,
! [X1,X0,X2] :
( ( sP2(X1,X0,X2)
| ? [X3] :
( ( ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X0)
| ~ aInteger0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( aElementOf0(X3,X1)
& aElementOf0(X3,X0)
& aInteger0(X3) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X0)
| ~ aInteger0(X3) )
& ( ( aElementOf0(X3,X1)
& aElementOf0(X3,X0)
& aInteger0(X3) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP2(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f111]) ).
fof(f141,plain,
! [X1,X0,X2] :
( ( sP2(X1,X0,X2)
| ? [X3] :
( ( ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X0)
| ~ aInteger0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( aElementOf0(X3,X1)
& aElementOf0(X3,X0)
& aInteger0(X3) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X0)
| ~ aInteger0(X3) )
& ( ( aElementOf0(X3,X1)
& aElementOf0(X3,X0)
& aInteger0(X3) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP2(X1,X0,X2) ) ),
inference(flattening,[],[f140]) ).
fof(f142,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ? [X3] :
( ( ~ aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aInteger0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( aElementOf0(X3,X0)
& aElementOf0(X3,X1)
& aInteger0(X3) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X0)
| ~ aElementOf0(X4,X1)
| ~ aInteger0(X4) )
& ( ( aElementOf0(X4,X0)
& aElementOf0(X4,X1)
& aInteger0(X4) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP2(X0,X1,X2) ) ),
inference(rectify,[],[f141]) ).
fof(f143,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aInteger0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( aElementOf0(X3,X0)
& aElementOf0(X3,X1)
& aInteger0(X3) )
| aElementOf0(X3,X2) ) )
=> ( ( ~ aElementOf0(sK10(X0,X1,X2),X0)
| ~ aElementOf0(sK10(X0,X1,X2),X1)
| ~ aInteger0(sK10(X0,X1,X2))
| ~ aElementOf0(sK10(X0,X1,X2),X2) )
& ( ( aElementOf0(sK10(X0,X1,X2),X0)
& aElementOf0(sK10(X0,X1,X2),X1)
& aInteger0(sK10(X0,X1,X2)) )
| aElementOf0(sK10(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f144,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ( ( ~ aElementOf0(sK10(X0,X1,X2),X0)
| ~ aElementOf0(sK10(X0,X1,X2),X1)
| ~ aInteger0(sK10(X0,X1,X2))
| ~ aElementOf0(sK10(X0,X1,X2),X2) )
& ( ( aElementOf0(sK10(X0,X1,X2),X0)
& aElementOf0(sK10(X0,X1,X2),X1)
& aInteger0(sK10(X0,X1,X2)) )
| aElementOf0(sK10(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X0)
| ~ aElementOf0(X4,X1)
| ~ aInteger0(X4) )
& ( ( aElementOf0(X4,X0)
& aElementOf0(X4,X1)
& aInteger0(X4) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP2(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f142,f143]) ).
fof(f145,plain,
! [X0] :
( ! [X2] :
( ( sbsmnsldt0(X0) = X2
| ~ sP4(X0,X2) )
& ( sP4(X0,X2)
| sbsmnsldt0(X0) != X2 ) )
| ~ sP5(X0) ),
inference(nnf_transformation,[],[f115]) ).
fof(f146,plain,
! [X0] :
( ! [X1] :
( ( sbsmnsldt0(X0) = X1
| ~ sP4(X0,X1) )
& ( sP4(X0,X1)
| sbsmnsldt0(X0) != X1 ) )
| ~ sP5(X0) ),
inference(rectify,[],[f145]) ).
fof(f147,plain,
! [X0,X2] :
( ( sP4(X0,X2)
| ? [X3] :
( ( ! [X4] :
( ~ aElementOf0(X3,X4)
| ~ aElementOf0(X4,X0) )
| ~ aInteger0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ? [X4] :
( aElementOf0(X3,X4)
& aElementOf0(X4,X0) )
& aInteger0(X3) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| ! [X4] :
( ~ aElementOf0(X3,X4)
| ~ aElementOf0(X4,X0) )
| ~ aInteger0(X3) )
& ( ( ? [X4] :
( aElementOf0(X3,X4)
& aElementOf0(X4,X0) )
& aInteger0(X3) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP4(X0,X2) ) ),
inference(nnf_transformation,[],[f114]) ).
fof(f148,plain,
! [X0,X2] :
( ( sP4(X0,X2)
| ? [X3] :
( ( ! [X4] :
( ~ aElementOf0(X3,X4)
| ~ aElementOf0(X4,X0) )
| ~ aInteger0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ? [X4] :
( aElementOf0(X3,X4)
& aElementOf0(X4,X0) )
& aInteger0(X3) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| ! [X4] :
( ~ aElementOf0(X3,X4)
| ~ aElementOf0(X4,X0) )
| ~ aInteger0(X3) )
& ( ( ? [X4] :
( aElementOf0(X3,X4)
& aElementOf0(X4,X0) )
& aInteger0(X3) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP4(X0,X2) ) ),
inference(flattening,[],[f147]) ).
fof(f149,plain,
! [X0,X1] :
( ( sP4(X0,X1)
| ? [X2] :
( ( ! [X3] :
( ~ aElementOf0(X2,X3)
| ~ aElementOf0(X3,X0) )
| ~ aInteger0(X2)
| ~ aElementOf0(X2,X1) )
& ( ( ? [X4] :
( aElementOf0(X2,X4)
& aElementOf0(X4,X0) )
& aInteger0(X2) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X5] :
( ( aElementOf0(X5,X1)
| ! [X6] :
( ~ aElementOf0(X5,X6)
| ~ aElementOf0(X6,X0) )
| ~ aInteger0(X5) )
& ( ( ? [X7] :
( aElementOf0(X5,X7)
& aElementOf0(X7,X0) )
& aInteger0(X5) )
| ~ aElementOf0(X5,X1) ) )
& aSet0(X1) )
| ~ sP4(X0,X1) ) ),
inference(rectify,[],[f148]) ).
fof(f150,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] :
( ~ aElementOf0(X2,X3)
| ~ aElementOf0(X3,X0) )
| ~ aInteger0(X2)
| ~ aElementOf0(X2,X1) )
& ( ( ? [X4] :
( aElementOf0(X2,X4)
& aElementOf0(X4,X0) )
& aInteger0(X2) )
| aElementOf0(X2,X1) ) )
=> ( ( ! [X3] :
( ~ aElementOf0(sK11(X0,X1),X3)
| ~ aElementOf0(X3,X0) )
| ~ aInteger0(sK11(X0,X1))
| ~ aElementOf0(sK11(X0,X1),X1) )
& ( ( ? [X4] :
( aElementOf0(sK11(X0,X1),X4)
& aElementOf0(X4,X0) )
& aInteger0(sK11(X0,X1)) )
| aElementOf0(sK11(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f151,plain,
! [X0,X1] :
( ? [X4] :
( aElementOf0(sK11(X0,X1),X4)
& aElementOf0(X4,X0) )
=> ( aElementOf0(sK11(X0,X1),sK12(X0,X1))
& aElementOf0(sK12(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f152,plain,
! [X0,X5] :
( ? [X7] :
( aElementOf0(X5,X7)
& aElementOf0(X7,X0) )
=> ( aElementOf0(X5,sK13(X0,X5))
& aElementOf0(sK13(X0,X5),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f153,plain,
! [X0,X1] :
( ( sP4(X0,X1)
| ( ( ! [X3] :
( ~ aElementOf0(sK11(X0,X1),X3)
| ~ aElementOf0(X3,X0) )
| ~ aInteger0(sK11(X0,X1))
| ~ aElementOf0(sK11(X0,X1),X1) )
& ( ( aElementOf0(sK11(X0,X1),sK12(X0,X1))
& aElementOf0(sK12(X0,X1),X0)
& aInteger0(sK11(X0,X1)) )
| aElementOf0(sK11(X0,X1),X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X5] :
( ( aElementOf0(X5,X1)
| ! [X6] :
( ~ aElementOf0(X5,X6)
| ~ aElementOf0(X6,X0) )
| ~ aInteger0(X5) )
& ( ( aElementOf0(X5,sK13(X0,X5))
& aElementOf0(sK13(X0,X5),X0)
& aInteger0(X5) )
| ~ aElementOf0(X5,X1) ) )
& aSet0(X1) )
| ~ sP4(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13])],[f149,f152,f151,f150]) ).
fof(f154,plain,
! [X0] :
( ? [X1] :
( ~ aSubsetOf0(X1,cS1395)
& aElementOf0(X1,X0) )
=> ( ~ aSubsetOf0(sK14(X0),cS1395)
& aElementOf0(sK14(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f155,plain,
! [X0] :
( sP5(X0)
| ( ~ aSubsetOf0(sK14(X0),cS1395)
& aElementOf0(sK14(X0),X0) )
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f116,f154]) ).
fof(f156,plain,
! [X0] :
( ! [X1] :
( ( stldt0(X0) = X1
| ? [X2] :
( ( aElementOf0(X2,X0)
| ~ aInteger0(X2)
| ~ aElementOf0(X2,X1) )
& ( ( ~ aElementOf0(X2,X0)
& aInteger0(X2) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( aElementOf0(X2,X1)
| aElementOf0(X2,X0)
| ~ aInteger0(X2) )
& ( ( ~ aElementOf0(X2,X0)
& aInteger0(X2) )
| ~ aElementOf0(X2,X1) ) )
& aSet0(X1) )
| stldt0(X0) != X1 ) )
| ~ aSubsetOf0(X0,cS1395) ),
inference(nnf_transformation,[],[f94]) ).
fof(f157,plain,
! [X0] :
( ! [X1] :
( ( stldt0(X0) = X1
| ? [X2] :
( ( aElementOf0(X2,X0)
| ~ aInteger0(X2)
| ~ aElementOf0(X2,X1) )
& ( ( ~ aElementOf0(X2,X0)
& aInteger0(X2) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( aElementOf0(X2,X1)
| aElementOf0(X2,X0)
| ~ aInteger0(X2) )
& ( ( ~ aElementOf0(X2,X0)
& aInteger0(X2) )
| ~ aElementOf0(X2,X1) ) )
& aSet0(X1) )
| stldt0(X0) != X1 ) )
| ~ aSubsetOf0(X0,cS1395) ),
inference(flattening,[],[f156]) ).
fof(f158,plain,
! [X0] :
( ! [X1] :
( ( stldt0(X0) = X1
| ? [X2] :
( ( aElementOf0(X2,X0)
| ~ aInteger0(X2)
| ~ aElementOf0(X2,X1) )
& ( ( ~ aElementOf0(X2,X0)
& aInteger0(X2) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aInteger0(X3) )
& ( ( ~ aElementOf0(X3,X0)
& aInteger0(X3) )
| ~ aElementOf0(X3,X1) ) )
& aSet0(X1) )
| stldt0(X0) != X1 ) )
| ~ aSubsetOf0(X0,cS1395) ),
inference(rectify,[],[f157]) ).
fof(f159,plain,
! [X0,X1] :
( ? [X2] :
( ( aElementOf0(X2,X0)
| ~ aInteger0(X2)
| ~ aElementOf0(X2,X1) )
& ( ( ~ aElementOf0(X2,X0)
& aInteger0(X2) )
| aElementOf0(X2,X1) ) )
=> ( ( aElementOf0(sK15(X0,X1),X0)
| ~ aInteger0(sK15(X0,X1))
| ~ aElementOf0(sK15(X0,X1),X1) )
& ( ( ~ aElementOf0(sK15(X0,X1),X0)
& aInteger0(sK15(X0,X1)) )
| aElementOf0(sK15(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f160,plain,
! [X0] :
( ! [X1] :
( ( stldt0(X0) = X1
| ( ( aElementOf0(sK15(X0,X1),X0)
| ~ aInteger0(sK15(X0,X1))
| ~ aElementOf0(sK15(X0,X1),X1) )
& ( ( ~ aElementOf0(sK15(X0,X1),X0)
& aInteger0(sK15(X0,X1)) )
| aElementOf0(sK15(X0,X1),X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aInteger0(X3) )
& ( ( ~ aElementOf0(X3,X0)
& aInteger0(X3) )
| ~ aElementOf0(X3,X1) ) )
& aSet0(X1) )
| stldt0(X0) != X1 ) )
| ~ aSubsetOf0(X0,cS1395) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f158,f159]) ).
fof(f161,plain,
! [X0,X1] :
( ! [X2] :
( ( szAzrzSzezqlpdtcmdtrp0(X0,X1) = X2
| ? [X3] :
( ( ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
| ~ aInteger0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aInteger0(X3) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
| ~ aInteger0(X3) )
& ( ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aInteger0(X3) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| szAzrzSzezqlpdtcmdtrp0(X0,X1) != X2 ) )
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(nnf_transformation,[],[f96]) ).
fof(f162,plain,
! [X0,X1] :
( ! [X2] :
( ( szAzrzSzezqlpdtcmdtrp0(X0,X1) = X2
| ? [X3] :
( ( ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
| ~ aInteger0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aInteger0(X3) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
| ~ aInteger0(X3) )
& ( ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aInteger0(X3) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| szAzrzSzezqlpdtcmdtrp0(X0,X1) != X2 ) )
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f161]) ).
fof(f163,plain,
! [X0,X1] :
( ! [X2] :
( ( szAzrzSzezqlpdtcmdtrp0(X0,X1) = X2
| ? [X3] :
( ( ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
| ~ aInteger0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aInteger0(X3) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| ~ sdteqdtlpzmzozddtrp0(X4,X0,X1)
| ~ aInteger0(X4) )
& ( ( sdteqdtlpzmzozddtrp0(X4,X0,X1)
& aInteger0(X4) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| szAzrzSzezqlpdtcmdtrp0(X0,X1) != X2 ) )
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(rectify,[],[f162]) ).
fof(f164,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
| ~ aInteger0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aInteger0(X3) )
| aElementOf0(X3,X2) ) )
=> ( ( ~ sdteqdtlpzmzozddtrp0(sK16(X0,X1,X2),X0,X1)
| ~ aInteger0(sK16(X0,X1,X2))
| ~ aElementOf0(sK16(X0,X1,X2),X2) )
& ( ( sdteqdtlpzmzozddtrp0(sK16(X0,X1,X2),X0,X1)
& aInteger0(sK16(X0,X1,X2)) )
| aElementOf0(sK16(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f165,plain,
! [X0,X1] :
( ! [X2] :
( ( szAzrzSzezqlpdtcmdtrp0(X0,X1) = X2
| ( ( ~ sdteqdtlpzmzozddtrp0(sK16(X0,X1,X2),X0,X1)
| ~ aInteger0(sK16(X0,X1,X2))
| ~ aElementOf0(sK16(X0,X1,X2),X2) )
& ( ( sdteqdtlpzmzozddtrp0(sK16(X0,X1,X2),X0,X1)
& aInteger0(sK16(X0,X1,X2)) )
| aElementOf0(sK16(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| ~ sdteqdtlpzmzozddtrp0(X4,X0,X1)
| ~ aInteger0(X4) )
& ( ( sdteqdtlpzmzozddtrp0(X4,X0,X1)
& aInteger0(X4) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| szAzrzSzezqlpdtcmdtrp0(X0,X1) != X2 ) )
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f163,f164]) ).
fof(f166,plain,
! [X0] :
( ( ( isOpen0(X0)
| ? [X1] :
( ! [X2] :
( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),X0)
| sz00 = X2
| ~ aInteger0(X2) )
& aElementOf0(X1,X0) ) )
& ( ! [X1] :
( ? [X2] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),X0)
& sz00 != X2
& aInteger0(X2) )
| ~ aElementOf0(X1,X0) )
| ~ isOpen0(X0) ) )
| ~ aSubsetOf0(X0,cS1395) ),
inference(nnf_transformation,[],[f97]) ).
fof(f167,plain,
! [X0] :
( ( ( isOpen0(X0)
| ? [X1] :
( ! [X2] :
( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),X0)
| sz00 = X2
| ~ aInteger0(X2) )
& aElementOf0(X1,X0) ) )
& ( ! [X3] :
( ? [X4] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X3,X4),X0)
& sz00 != X4
& aInteger0(X4) )
| ~ aElementOf0(X3,X0) )
| ~ isOpen0(X0) ) )
| ~ aSubsetOf0(X0,cS1395) ),
inference(rectify,[],[f166]) ).
fof(f168,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),X0)
| sz00 = X2
| ~ aInteger0(X2) )
& aElementOf0(X1,X0) )
=> ( ! [X2] :
( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sK17(X0),X2),X0)
| sz00 = X2
| ~ aInteger0(X2) )
& aElementOf0(sK17(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
! [X0,X3] :
( ? [X4] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X3,X4),X0)
& sz00 != X4
& aInteger0(X4) )
=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X3,sK18(X0,X3)),X0)
& sz00 != sK18(X0,X3)
& aInteger0(sK18(X0,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f170,plain,
! [X0] :
( ( ( isOpen0(X0)
| ( ! [X2] :
( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sK17(X0),X2),X0)
| sz00 = X2
| ~ aInteger0(X2) )
& aElementOf0(sK17(X0),X0) ) )
& ( ! [X3] :
( ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X3,sK18(X0,X3)),X0)
& sz00 != sK18(X0,X3)
& aInteger0(sK18(X0,X3)) )
| ~ aElementOf0(X3,X0) )
| ~ isOpen0(X0) ) )
| ~ aSubsetOf0(X0,cS1395) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18])],[f167,f169,f168]) ).
fof(f171,plain,
! [X0] :
( ( ( isClosed0(X0)
| ~ isOpen0(stldt0(X0)) )
& ( isOpen0(stldt0(X0))
| ~ isClosed0(X0) ) )
| ~ aSubsetOf0(X0,cS1395) ),
inference(nnf_transformation,[],[f98]) ).
fof(f172,plain,
! [X0] :
( ? [X1] :
( ( ~ isOpen0(X1)
| ~ aSubsetOf0(X1,cS1395) )
& aElementOf0(X1,X0) )
=> ( ( ~ isOpen0(sK19(X0))
| ~ aSubsetOf0(sK19(X0),cS1395) )
& aElementOf0(sK19(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f173,plain,
! [X0] :
( isOpen0(sbsmnsldt0(X0))
| ( ( ~ isOpen0(sK19(X0))
| ~ aSubsetOf0(sK19(X0),cS1395) )
& aElementOf0(sK19(X0),X0) )
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f100,f172]) ).
fof(f174,plain,
( ( ! [X0] :
( ~ isPrime0(X0)
| ~ aDivisorOf0(X0,xn) )
| ~ aElementOf0(xn,sbsmnsldt0(xS)) )
& ( ? [X0] :
( isPrime0(X0)
& aDivisorOf0(X0,xn) )
| aElementOf0(xn,sbsmnsldt0(xS)) ) ),
inference(nnf_transformation,[],[f107]) ).
fof(f175,plain,
( ( ! [X0] :
( ~ isPrime0(X0)
| ~ aDivisorOf0(X0,xn) )
| ~ aElementOf0(xn,sbsmnsldt0(xS)) )
& ( ? [X1] :
( isPrime0(X1)
& aDivisorOf0(X1,xn) )
| aElementOf0(xn,sbsmnsldt0(xS)) ) ),
inference(rectify,[],[f174]) ).
fof(f176,plain,
( ? [X1] :
( isPrime0(X1)
& aDivisorOf0(X1,xn) )
=> ( isPrime0(sK20)
& aDivisorOf0(sK20,xn) ) ),
introduced(choice_axiom,[]) ).
fof(f177,plain,
( ( ! [X0] :
( ~ isPrime0(X0)
| ~ aDivisorOf0(X0,xn) )
| ~ aElementOf0(xn,sbsmnsldt0(xS)) )
& ( ( isPrime0(sK20)
& aDivisorOf0(sK20,xn) )
| aElementOf0(xn,sbsmnsldt0(xS)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f175,f176]) ).
fof(f178,plain,
aInteger0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f179,plain,
aInteger0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f180,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f181,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f182,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f183,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f184,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f185,plain,
! [X0] :
( sdtpldt0(X0,sz00) = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f186,plain,
! [X0] :
( sdtpldt0(sz00,X0) = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f187,plain,
! [X0] :
( sz00 = sdtpldt0(X0,smndt0(X0))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f188,plain,
! [X0] :
( sz00 = sdtpldt0(smndt0(X0),X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f189,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f190,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f191,plain,
! [X0] :
( sdtasdt0(X0,sz10) = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f192,plain,
! [X0] :
( sdtasdt0(sz10,X0) = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f193,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f194,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f195,plain,
! [X0] :
( sz00 = sdtasdt0(X0,sz00)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f196,plain,
! [X0] :
( sz00 = sdtasdt0(sz00,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f197,plain,
! [X0] :
( smndt0(X0) = sdtasdt0(smndt0(sz10),X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f198,plain,
! [X0] :
( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f199,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f200,plain,
! [X0,X1] :
( aInteger0(X1)
| ~ aDivisorOf0(X1,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f201,plain,
! [X0,X1] :
( sz00 != X1
| ~ aDivisorOf0(X1,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f202,plain,
! [X0,X1] :
( aInteger0(sK6(X0,X1))
| ~ aDivisorOf0(X1,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f203,plain,
! [X0,X1] :
( sdtasdt0(X1,sK6(X0,X1)) = X0
| ~ aDivisorOf0(X1,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f204,plain,
! [X2,X0,X1] :
( aDivisorOf0(X1,X0)
| sdtasdt0(X1,X2) != X0
| ~ aInteger0(X2)
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f205,plain,
! [X2,X0,X1] :
( aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1)))
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f206,plain,
! [X2,X0,X1] :
( sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1)))
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f207,plain,
! [X0,X1] :
( sdteqdtlpzmzozddtrp0(X0,X0,X1)
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f208,plain,
! [X2,X0,X1] :
( sdteqdtlpzmzozddtrp0(X1,X0,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f209,plain,
! [X2,X3,X0,X1] :
( sdteqdtlpzmzozddtrp0(X0,X3,X2)
| ~ sdteqdtlpzmzozddtrp0(X1,X3,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aInteger0(X3)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f210,plain,
! [X2,X3,X0,X1] :
( sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,sdtasdt0(X2,X3))
| sz00 = X3
| ~ aInteger0(X3)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f211,plain,
! [X2,X3,X0,X1] :
( sdteqdtlpzmzozddtrp0(X0,X1,X3)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,sdtasdt0(X2,X3))
| sz00 = X3
| ~ aInteger0(X3)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f212,plain,
! [X2,X0] :
( sz10 != X0
| ~ isPrime0(X2)
| ~ aDivisorOf0(X2,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f213,plain,
! [X2,X0] :
( smndt0(sz10) != X0
| ~ isPrime0(X2)
| ~ aDivisorOf0(X2,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f214,plain,
! [X0] :
( aDivisorOf0(sK7(X0),X0)
| smndt0(sz10) = X0
| sz10 = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f215,plain,
! [X0] :
( isPrime0(sK7(X0))
| smndt0(sz10) = X0
| sz10 = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f216,plain,
! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f217,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f218,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| aElementOf0(sK8(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f219,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| ~ aElementOf0(sK8(X0,X1),X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f220,plain,
! [X2,X0,X1] :
( sP0(X1,X0,X2)
| sdtbsmnsldt0(X0,X1) != X2
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f133]) ).
fof(f221,plain,
! [X2,X0,X1] :
( sdtbsmnsldt0(X0,X1) = X2
| ~ sP0(X1,X0,X2)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f133]) ).
fof(f222,plain,
! [X2,X0,X1] :
( aSet0(X2)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f138]) ).
fof(f223,plain,
! [X2,X0,X1,X4] :
( aInteger0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f138]) ).
fof(f224,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X0)
| aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f138]) ).
fof(f225,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X1)
| ~ aInteger0(X4)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f138]) ).
fof(f226,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X0)
| ~ aInteger0(X4)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f138]) ).
fof(f227,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| aInteger0(sK9(X0,X1,X2))
| aElementOf0(sK9(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f138]) ).
fof(f228,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| aElementOf0(sK9(X0,X1,X2),X0)
| aElementOf0(sK9(X0,X1,X2),X1)
| aElementOf0(sK9(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f138]) ).
fof(f229,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ aElementOf0(sK9(X0,X1,X2),X1)
| ~ aInteger0(sK9(X0,X1,X2))
| ~ aElementOf0(sK9(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f138]) ).
fof(f230,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ aElementOf0(sK9(X0,X1,X2),X0)
| ~ aInteger0(sK9(X0,X1,X2))
| ~ aElementOf0(sK9(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f138]) ).
fof(f231,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f110]) ).
fof(f232,plain,
! [X2,X0,X1] :
( sP2(X1,X0,X2)
| sdtslmnbsdt0(X0,X1) != X2
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f139]) ).
fof(f233,plain,
! [X2,X0,X1] :
( sdtslmnbsdt0(X0,X1) = X2
| ~ sP2(X1,X0,X2)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f139]) ).
fof(f234,plain,
! [X2,X0,X1] :
( aSet0(X2)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f144]) ).
fof(f235,plain,
! [X2,X0,X1,X4] :
( aInteger0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f144]) ).
fof(f236,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f144]) ).
fof(f237,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X0)
| ~ aElementOf0(X4,X2)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f144]) ).
fof(f238,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X0)
| ~ aElementOf0(X4,X1)
| ~ aInteger0(X4)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f144]) ).
fof(f239,plain,
! [X2,X0,X1] :
( sP2(X0,X1,X2)
| aInteger0(sK10(X0,X1,X2))
| aElementOf0(sK10(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f144]) ).
fof(f240,plain,
! [X2,X0,X1] :
( sP2(X0,X1,X2)
| aElementOf0(sK10(X0,X1,X2),X1)
| aElementOf0(sK10(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f144]) ).
fof(f241,plain,
! [X2,X0,X1] :
( sP2(X0,X1,X2)
| aElementOf0(sK10(X0,X1,X2),X0)
| aElementOf0(sK10(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f144]) ).
fof(f242,plain,
! [X2,X0,X1] :
( sP2(X0,X1,X2)
| ~ aElementOf0(sK10(X0,X1,X2),X0)
| ~ aElementOf0(sK10(X0,X1,X2),X1)
| ~ aInteger0(sK10(X0,X1,X2))
| ~ aElementOf0(sK10(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f144]) ).
fof(f243,plain,
! [X0,X1] :
( sP3(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f113]) ).
fof(f244,plain,
! [X0,X1] :
( sP4(X0,X1)
| sbsmnsldt0(X0) != X1
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f245,plain,
! [X0,X1] :
( sbsmnsldt0(X0) = X1
| ~ sP4(X0,X1)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f246,plain,
! [X0,X1] :
( aSet0(X1)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f153]) ).
fof(f247,plain,
! [X0,X1,X5] :
( aInteger0(X5)
| ~ aElementOf0(X5,X1)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f153]) ).
fof(f248,plain,
! [X0,X1,X5] :
( aElementOf0(sK13(X0,X5),X0)
| ~ aElementOf0(X5,X1)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f153]) ).
fof(f249,plain,
! [X0,X1,X5] :
( aElementOf0(X5,sK13(X0,X5))
| ~ aElementOf0(X5,X1)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f153]) ).
fof(f250,plain,
! [X0,X1,X6,X5] :
( aElementOf0(X5,X1)
| ~ aElementOf0(X5,X6)
| ~ aElementOf0(X6,X0)
| ~ aInteger0(X5)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f153]) ).
fof(f251,plain,
! [X0,X1] :
( sP4(X0,X1)
| aInteger0(sK11(X0,X1))
| aElementOf0(sK11(X0,X1),X1)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f153]) ).
fof(f252,plain,
! [X0,X1] :
( sP4(X0,X1)
| aElementOf0(sK12(X0,X1),X0)
| aElementOf0(sK11(X0,X1),X1)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f153]) ).
fof(f253,plain,
! [X0,X1] :
( sP4(X0,X1)
| aElementOf0(sK11(X0,X1),sK12(X0,X1))
| aElementOf0(sK11(X0,X1),X1)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f153]) ).
fof(f254,plain,
! [X3,X0,X1] :
( sP4(X0,X1)
| ~ aElementOf0(sK11(X0,X1),X3)
| ~ aElementOf0(X3,X0)
| ~ aInteger0(sK11(X0,X1))
| ~ aElementOf0(sK11(X0,X1),X1)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f153]) ).
fof(f255,plain,
! [X0] :
( sP5(X0)
| aElementOf0(sK14(X0),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f256,plain,
! [X0] :
( sP5(X0)
| ~ aSubsetOf0(sK14(X0),cS1395)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f257,plain,
! [X0,X1] :
( aSet0(X1)
| stldt0(X0) != X1
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f160]) ).
fof(f258,plain,
! [X3,X0,X1] :
( aInteger0(X3)
| ~ aElementOf0(X3,X1)
| stldt0(X0) != X1
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f160]) ).
fof(f259,plain,
! [X3,X0,X1] :
( ~ aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| stldt0(X0) != X1
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f160]) ).
fof(f260,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aInteger0(X3)
| stldt0(X0) != X1
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f160]) ).
fof(f261,plain,
! [X0,X1] :
( stldt0(X0) = X1
| aInteger0(sK15(X0,X1))
| aElementOf0(sK15(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f160]) ).
fof(f262,plain,
! [X0,X1] :
( stldt0(X0) = X1
| ~ aElementOf0(sK15(X0,X1),X0)
| aElementOf0(sK15(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f160]) ).
fof(f263,plain,
! [X0,X1] :
( stldt0(X0) = X1
| aElementOf0(sK15(X0,X1),X0)
| ~ aInteger0(sK15(X0,X1))
| ~ aElementOf0(sK15(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f160]) ).
fof(f264,plain,
! [X2,X0,X1] :
( aSet0(X2)
| szAzrzSzezqlpdtcmdtrp0(X0,X1) != X2
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f265,plain,
! [X2,X0,X1,X4] :
( aInteger0(X4)
| ~ aElementOf0(X4,X2)
| szAzrzSzezqlpdtcmdtrp0(X0,X1) != X2
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f266,plain,
! [X2,X0,X1,X4] :
( sdteqdtlpzmzozddtrp0(X4,X0,X1)
| ~ aElementOf0(X4,X2)
| szAzrzSzezqlpdtcmdtrp0(X0,X1) != X2
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f267,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ sdteqdtlpzmzozddtrp0(X4,X0,X1)
| ~ aInteger0(X4)
| szAzrzSzezqlpdtcmdtrp0(X0,X1) != X2
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f268,plain,
! [X2,X0,X1] :
( szAzrzSzezqlpdtcmdtrp0(X0,X1) = X2
| aInteger0(sK16(X0,X1,X2))
| aElementOf0(sK16(X0,X1,X2),X2)
| ~ aSet0(X2)
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f269,plain,
! [X2,X0,X1] :
( szAzrzSzezqlpdtcmdtrp0(X0,X1) = X2
| sdteqdtlpzmzozddtrp0(sK16(X0,X1,X2),X0,X1)
| aElementOf0(sK16(X0,X1,X2),X2)
| ~ aSet0(X2)
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f270,plain,
! [X2,X0,X1] :
( szAzrzSzezqlpdtcmdtrp0(X0,X1) = X2
| ~ sdteqdtlpzmzozddtrp0(sK16(X0,X1,X2),X0,X1)
| ~ aInteger0(sK16(X0,X1,X2))
| ~ aElementOf0(sK16(X0,X1,X2),X2)
| ~ aSet0(X2)
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f271,plain,
! [X3,X0] :
( aInteger0(sK18(X0,X3))
| ~ aElementOf0(X3,X0)
| ~ isOpen0(X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f170]) ).
fof(f272,plain,
! [X3,X0] :
( sz00 != sK18(X0,X3)
| ~ aElementOf0(X3,X0)
| ~ isOpen0(X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f170]) ).
fof(f273,plain,
! [X3,X0] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X3,sK18(X0,X3)),X0)
| ~ aElementOf0(X3,X0)
| ~ isOpen0(X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f170]) ).
fof(f274,plain,
! [X0] :
( isOpen0(X0)
| aElementOf0(sK17(X0),X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f170]) ).
fof(f275,plain,
! [X2,X0] :
( isOpen0(X0)
| ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sK17(X0),X2),X0)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f170]) ).
fof(f276,plain,
! [X0] :
( isOpen0(stldt0(X0))
| ~ isClosed0(X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f171]) ).
fof(f277,plain,
! [X0] :
( isClosed0(X0)
| ~ isOpen0(stldt0(X0))
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f171]) ).
fof(f278,plain,
! [X0] :
( isOpen0(sbsmnsldt0(X0))
| aElementOf0(sK19(X0),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f173]) ).
fof(f279,plain,
! [X0] :
( isOpen0(sbsmnsldt0(X0))
| ~ isOpen0(sK19(X0))
| ~ aSubsetOf0(sK19(X0),cS1395)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f173]) ).
fof(f280,plain,
! [X0,X1] :
( isOpen0(sdtslmnbsdt0(X0,X1))
| ~ isOpen0(X1)
| ~ isOpen0(X0)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f102]) ).
fof(f281,plain,
! [X0,X1] :
( isClosed0(sdtbsmnsldt0(X0,X1))
| ~ isClosed0(X1)
| ~ isClosed0(X0)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f104]) ).
fof(f282,plain,
! [X0,X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),cS1395)
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f283,plain,
! [X0,X1] :
( isClosed0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f284,plain,
xS = cS2043,
inference(cnf_transformation,[],[f42]) ).
fof(f285,plain,
aInteger0(xn),
inference(cnf_transformation,[],[f43]) ).
fof(f286,plain,
( aDivisorOf0(sK20,xn)
| aElementOf0(xn,sbsmnsldt0(xS)) ),
inference(cnf_transformation,[],[f177]) ).
fof(f287,plain,
( isPrime0(sK20)
| aElementOf0(xn,sbsmnsldt0(xS)) ),
inference(cnf_transformation,[],[f177]) ).
fof(f288,plain,
! [X0] :
( ~ isPrime0(X0)
| ~ aDivisorOf0(X0,xn)
| ~ aElementOf0(xn,sbsmnsldt0(xS)) ),
inference(cnf_transformation,[],[f177]) ).
fof(f289,plain,
! [X0] :
( ~ isPrime0(X0)
| ~ aDivisorOf0(X0,xn)
| ~ aElementOf0(xn,sbsmnsldt0(cS2043)) ),
inference(definition_unfolding,[],[f288,f284]) ).
fof(f290,plain,
( isPrime0(sK20)
| aElementOf0(xn,sbsmnsldt0(cS2043)) ),
inference(definition_unfolding,[],[f287,f284]) ).
fof(f291,plain,
( aDivisorOf0(sK20,xn)
| aElementOf0(xn,sbsmnsldt0(cS2043)) ),
inference(definition_unfolding,[],[f286,f284]) ).
fof(f292,plain,
! [X2,X1] :
( aDivisorOf0(X1,sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(sdtasdt0(X1,X2)) ),
inference(equality_resolution,[],[f204]) ).
fof(f293,plain,
! [X0] :
( ~ aDivisorOf0(sz00,X0)
| ~ aInteger0(X0) ),
inference(equality_resolution,[],[f201]) ).
fof(f294,plain,
! [X2] :
( ~ isPrime0(X2)
| ~ aDivisorOf0(X2,smndt0(sz10))
| ~ aInteger0(smndt0(sz10)) ),
inference(equality_resolution,[],[f213]) ).
fof(f295,plain,
! [X2] :
( ~ isPrime0(X2)
| ~ aDivisorOf0(X2,sz10)
| ~ aInteger0(sz10) ),
inference(equality_resolution,[],[f212]) ).
fof(f296,plain,
! [X0,X1] :
( sP0(X1,X0,sdtbsmnsldt0(X0,X1))
| ~ sP1(X0,X1) ),
inference(equality_resolution,[],[f220]) ).
fof(f297,plain,
! [X0,X1] :
( sP2(X1,X0,sdtslmnbsdt0(X0,X1))
| ~ sP3(X0,X1) ),
inference(equality_resolution,[],[f232]) ).
fof(f298,plain,
! [X0] :
( sP4(X0,sbsmnsldt0(X0))
| ~ sP5(X0) ),
inference(equality_resolution,[],[f244]) ).
fof(f299,plain,
! [X3,X0] :
( aElementOf0(X3,stldt0(X0))
| aElementOf0(X3,X0)
| ~ aInteger0(X3)
| ~ aSubsetOf0(X0,cS1395) ),
inference(equality_resolution,[],[f260]) ).
fof(f300,plain,
! [X3,X0] :
( ~ aElementOf0(X3,X0)
| ~ aElementOf0(X3,stldt0(X0))
| ~ aSubsetOf0(X0,cS1395) ),
inference(equality_resolution,[],[f259]) ).
fof(f301,plain,
! [X3,X0] :
( aInteger0(X3)
| ~ aElementOf0(X3,stldt0(X0))
| ~ aSubsetOf0(X0,cS1395) ),
inference(equality_resolution,[],[f258]) ).
fof(f302,plain,
! [X0] :
( aSet0(stldt0(X0))
| ~ aSubsetOf0(X0,cS1395) ),
inference(equality_resolution,[],[f257]) ).
fof(f303,plain,
! [X0,X1,X4] :
( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ~ sdteqdtlpzmzozddtrp0(X4,X0,X1)
| ~ aInteger0(X4)
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(equality_resolution,[],[f267]) ).
fof(f304,plain,
! [X0,X1,X4] :
( sdteqdtlpzmzozddtrp0(X4,X0,X1)
| ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(equality_resolution,[],[f266]) ).
fof(f305,plain,
! [X0,X1,X4] :
( aInteger0(X4)
| ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(equality_resolution,[],[f265]) ).
fof(f306,plain,
! [X0,X1] :
( aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(equality_resolution,[],[f264]) ).
cnf(c_49,plain,
aInteger0(sz00),
inference(cnf_transformation,[],[f178]) ).
cnf(c_50,plain,
aInteger0(sz10),
inference(cnf_transformation,[],[f179]) ).
cnf(c_51,plain,
( ~ aInteger0(X0)
| aInteger0(smndt0(X0)) ),
inference(cnf_transformation,[],[f180]) ).
cnf(c_52,plain,
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| aInteger0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f181]) ).
cnf(c_53,plain,
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| aInteger0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f182]) ).
cnf(c_54,plain,
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f183]) ).
cnf(c_55,plain,
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[],[f184]) ).
cnf(c_56,plain,
( ~ aInteger0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f186]) ).
cnf(c_57,plain,
( ~ aInteger0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f185]) ).
cnf(c_58,plain,
( ~ aInteger0(X0)
| sdtpldt0(smndt0(X0),X0) = sz00 ),
inference(cnf_transformation,[],[f188]) ).
cnf(c_59,plain,
( ~ aInteger0(X0)
| sdtpldt0(X0,smndt0(X0)) = sz00 ),
inference(cnf_transformation,[],[f187]) ).
cnf(c_60,plain,
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f189]) ).
cnf(c_61,plain,
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f190]) ).
cnf(c_62,plain,
( ~ aInteger0(X0)
| sdtasdt0(sz10,X0) = X0 ),
inference(cnf_transformation,[],[f192]) ).
cnf(c_63,plain,
( ~ aInteger0(X0)
| sdtasdt0(X0,sz10) = X0 ),
inference(cnf_transformation,[],[f191]) ).
cnf(c_64,plain,
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)) = sdtasdt0(sdtpldt0(X0,X1),X2) ),
inference(cnf_transformation,[],[f194]) ).
cnf(c_65,plain,
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) = sdtasdt0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f193]) ).
cnf(c_66,plain,
( ~ aInteger0(X0)
| sdtasdt0(sz00,X0) = sz00 ),
inference(cnf_transformation,[],[f196]) ).
cnf(c_67,plain,
( ~ aInteger0(X0)
| sdtasdt0(X0,sz00) = sz00 ),
inference(cnf_transformation,[],[f195]) ).
cnf(c_68,plain,
( ~ aInteger0(X0)
| sdtasdt0(X0,smndt0(sz10)) = smndt0(X0) ),
inference(cnf_transformation,[],[f198]) ).
cnf(c_69,plain,
( ~ aInteger0(X0)
| sdtasdt0(smndt0(sz10),X0) = smndt0(X0) ),
inference(cnf_transformation,[],[f197]) ).
cnf(c_70,plain,
( sdtasdt0(X0,X1) != sz00
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| X0 = sz00
| X1 = sz00 ),
inference(cnf_transformation,[],[f199]) ).
cnf(c_71,plain,
( ~ aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| X0 = sz00
| aDivisorOf0(X0,sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f292]) ).
cnf(c_72,plain,
( ~ aDivisorOf0(X0,X1)
| ~ aInteger0(X1)
| sdtasdt0(X0,sK6(X1,X0)) = X1 ),
inference(cnf_transformation,[],[f203]) ).
cnf(c_73,plain,
( ~ aDivisorOf0(X0,X1)
| ~ aInteger0(X1)
| aInteger0(sK6(X1,X0)) ),
inference(cnf_transformation,[],[f202]) ).
cnf(c_74,plain,
( ~ aDivisorOf0(sz00,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f293]) ).
cnf(c_75,plain,
( ~ aDivisorOf0(X0,X1)
| ~ aInteger0(X1)
| aInteger0(X0) ),
inference(cnf_transformation,[],[f200]) ).
cnf(c_76,plain,
( ~ aDivisorOf0(X0,sdtpldt0(X1,smndt0(X2)))
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| X0 = sz00
| sdteqdtlpzmzozddtrp0(X1,X2,X0) ),
inference(cnf_transformation,[],[f206]) ).
cnf(c_77,plain,
( ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| X2 = sz00
| aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) ),
inference(cnf_transformation,[],[f205]) ).
cnf(c_78,plain,
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| X1 = sz00
| sdteqdtlpzmzozddtrp0(X0,X0,X1) ),
inference(cnf_transformation,[],[f207]) ).
cnf(c_79,plain,
( ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| X2 = sz00
| sdteqdtlpzmzozddtrp0(X1,X0,X2) ),
inference(cnf_transformation,[],[f208]) ).
cnf(c_80,plain,
( ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ sdteqdtlpzmzozddtrp0(X1,X3,X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| X2 = sz00
| sdteqdtlpzmzozddtrp0(X0,X3,X2) ),
inference(cnf_transformation,[],[f209]) ).
cnf(c_81,plain,
( ~ sdteqdtlpzmzozddtrp0(X0,X1,sdtasdt0(X2,X3))
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| X2 = sz00
| X3 = sz00
| sdteqdtlpzmzozddtrp0(X0,X1,X3) ),
inference(cnf_transformation,[],[f211]) ).
cnf(c_82,plain,
( ~ sdteqdtlpzmzozddtrp0(X0,X1,sdtasdt0(X2,X3))
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| X2 = sz00
| X3 = sz00
| sdteqdtlpzmzozddtrp0(X0,X1,X2) ),
inference(cnf_transformation,[],[f210]) ).
cnf(c_83,plain,
( ~ aInteger0(X0)
| smndt0(sz10) = X0
| X0 = sz10
| isPrime0(sK7(X0)) ),
inference(cnf_transformation,[],[f215]) ).
cnf(c_84,plain,
( ~ aInteger0(X0)
| smndt0(sz10) = X0
| X0 = sz10
| aDivisorOf0(sK7(X0),X0) ),
inference(cnf_transformation,[],[f214]) ).
cnf(c_85,plain,
( ~ aDivisorOf0(X0,smndt0(sz10))
| ~ aInteger0(smndt0(sz10))
| ~ isPrime0(X0) ),
inference(cnf_transformation,[],[f294]) ).
cnf(c_86,plain,
( ~ aDivisorOf0(X0,sz10)
| ~ isPrime0(X0)
| ~ aInteger0(sz10) ),
inference(cnf_transformation,[],[f295]) ).
cnf(c_87,plain,
( ~ aElementOf0(sK8(X0,X1),X0)
| ~ aSet0(X0)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0) ),
inference(cnf_transformation,[],[f219]) ).
cnf(c_88,plain,
( ~ aSet0(X0)
| ~ aSet0(X1)
| aElementOf0(sK8(X0,X1),X1)
| aSubsetOf0(X1,X0) ),
inference(cnf_transformation,[],[f218]) ).
cnf(c_89,plain,
( ~ aSubsetOf0(X0,X1)
| ~ aElementOf0(X2,X0)
| ~ aSet0(X1)
| aElementOf0(X2,X1) ),
inference(cnf_transformation,[],[f217]) ).
cnf(c_90,plain,
( ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| aSet0(X0) ),
inference(cnf_transformation,[],[f216]) ).
cnf(c_91,plain,
( ~ sP0(X0,X1,X2)
| ~ sP1(X1,X0)
| sdtbsmnsldt0(X1,X0) = X2 ),
inference(cnf_transformation,[],[f221]) ).
cnf(c_92,plain,
( ~ sP1(X0,X1)
| sP0(X1,X0,sdtbsmnsldt0(X0,X1)) ),
inference(cnf_transformation,[],[f296]) ).
cnf(c_93,plain,
( ~ aElementOf0(sK9(X0,X1,X2),X0)
| ~ aElementOf0(sK9(X0,X1,X2),X2)
| ~ aInteger0(sK9(X0,X1,X2))
| ~ aSet0(X2)
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f230]) ).
cnf(c_94,plain,
( ~ aElementOf0(sK9(X0,X1,X2),X1)
| ~ aElementOf0(sK9(X0,X1,X2),X2)
| ~ aInteger0(sK9(X0,X1,X2))
| ~ aSet0(X2)
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f229]) ).
cnf(c_95,plain,
( ~ aSet0(X0)
| aElementOf0(sK9(X1,X2,X0),X0)
| aElementOf0(sK9(X1,X2,X0),X1)
| aElementOf0(sK9(X1,X2,X0),X2)
| sP0(X1,X2,X0) ),
inference(cnf_transformation,[],[f228]) ).
cnf(c_96,plain,
( ~ aSet0(X0)
| aElementOf0(sK9(X1,X2,X0),X0)
| aInteger0(sK9(X1,X2,X0))
| sP0(X1,X2,X0) ),
inference(cnf_transformation,[],[f227]) ).
cnf(c_97,plain,
( ~ sP0(X0,X1,X2)
| ~ aElementOf0(X3,X0)
| ~ aInteger0(X3)
| aElementOf0(X3,X2) ),
inference(cnf_transformation,[],[f226]) ).
cnf(c_98,plain,
( ~ sP0(X0,X1,X2)
| ~ aElementOf0(X3,X1)
| ~ aInteger0(X3)
| aElementOf0(X3,X2) ),
inference(cnf_transformation,[],[f225]) ).
cnf(c_99,plain,
( ~ sP0(X0,X1,X2)
| ~ aElementOf0(X3,X2)
| aElementOf0(X3,X0)
| aElementOf0(X3,X1) ),
inference(cnf_transformation,[],[f224]) ).
cnf(c_100,plain,
( ~ sP0(X0,X1,X2)
| ~ aElementOf0(X3,X2)
| aInteger0(X3) ),
inference(cnf_transformation,[],[f223]) ).
cnf(c_101,plain,
( ~ sP0(X0,X1,X2)
| aSet0(X2) ),
inference(cnf_transformation,[],[f222]) ).
cnf(c_102,plain,
( ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| sP1(X0,X1) ),
inference(cnf_transformation,[],[f231]) ).
cnf(c_103,plain,
( ~ sP2(X0,X1,X2)
| ~ sP3(X1,X0)
| sdtslmnbsdt0(X1,X0) = X2 ),
inference(cnf_transformation,[],[f233]) ).
cnf(c_104,plain,
( ~ sP3(X0,X1)
| sP2(X1,X0,sdtslmnbsdt0(X0,X1)) ),
inference(cnf_transformation,[],[f297]) ).
cnf(c_105,plain,
( ~ aElementOf0(sK10(X0,X1,X2),X0)
| ~ aElementOf0(sK10(X0,X1,X2),X1)
| ~ aElementOf0(sK10(X0,X1,X2),X2)
| ~ aInteger0(sK10(X0,X1,X2))
| ~ aSet0(X2)
| sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f242]) ).
cnf(c_106,plain,
( ~ aSet0(X0)
| aElementOf0(sK10(X1,X2,X0),X0)
| aElementOf0(sK10(X1,X2,X0),X1)
| sP2(X1,X2,X0) ),
inference(cnf_transformation,[],[f241]) ).
cnf(c_107,plain,
( ~ aSet0(X0)
| aElementOf0(sK10(X1,X2,X0),X0)
| aElementOf0(sK10(X1,X2,X0),X2)
| sP2(X1,X2,X0) ),
inference(cnf_transformation,[],[f240]) ).
cnf(c_108,plain,
( ~ aSet0(X0)
| aElementOf0(sK10(X1,X2,X0),X0)
| aInteger0(sK10(X1,X2,X0))
| sP2(X1,X2,X0) ),
inference(cnf_transformation,[],[f239]) ).
cnf(c_109,plain,
( ~ sP2(X0,X1,X2)
| ~ aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aInteger0(X3)
| aElementOf0(X3,X2) ),
inference(cnf_transformation,[],[f238]) ).
cnf(c_110,plain,
( ~ sP2(X0,X1,X2)
| ~ aElementOf0(X3,X2)
| aElementOf0(X3,X0) ),
inference(cnf_transformation,[],[f237]) ).
cnf(c_111,plain,
( ~ sP2(X0,X1,X2)
| ~ aElementOf0(X3,X2)
| aElementOf0(X3,X1) ),
inference(cnf_transformation,[],[f236]) ).
cnf(c_112,plain,
( ~ sP2(X0,X1,X2)
| ~ aElementOf0(X3,X2)
| aInteger0(X3) ),
inference(cnf_transformation,[],[f235]) ).
cnf(c_113,plain,
( ~ sP2(X0,X1,X2)
| aSet0(X2) ),
inference(cnf_transformation,[],[f234]) ).
cnf(c_114,plain,
( ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| sP3(X0,X1) ),
inference(cnf_transformation,[],[f243]) ).
cnf(c_115,plain,
( ~ sP4(X0,X1)
| ~ sP5(X0)
| sbsmnsldt0(X0) = X1 ),
inference(cnf_transformation,[],[f245]) ).
cnf(c_116,plain,
( ~ sP5(X0)
| sP4(X0,sbsmnsldt0(X0)) ),
inference(cnf_transformation,[],[f298]) ).
cnf(c_117,plain,
( ~ aElementOf0(sK11(X0,X1),X1)
| ~ aElementOf0(sK11(X0,X1),X2)
| ~ aInteger0(sK11(X0,X1))
| ~ aElementOf0(X2,X0)
| ~ aSet0(X1)
| sP4(X0,X1) ),
inference(cnf_transformation,[],[f254]) ).
cnf(c_118,plain,
( ~ aSet0(X0)
| aElementOf0(sK11(X1,X0),sK12(X1,X0))
| aElementOf0(sK11(X1,X0),X0)
| sP4(X1,X0) ),
inference(cnf_transformation,[],[f253]) ).
cnf(c_119,plain,
( ~ aSet0(X0)
| aElementOf0(sK11(X1,X0),X0)
| aElementOf0(sK12(X1,X0),X1)
| sP4(X1,X0) ),
inference(cnf_transformation,[],[f252]) ).
cnf(c_120,plain,
( ~ aSet0(X0)
| aElementOf0(sK11(X1,X0),X0)
| aInteger0(sK11(X1,X0))
| sP4(X1,X0) ),
inference(cnf_transformation,[],[f251]) ).
cnf(c_121,plain,
( ~ aElementOf0(X0,X1)
| ~ aElementOf0(X1,X2)
| ~ sP4(X2,X3)
| ~ aInteger0(X0)
| aElementOf0(X0,X3) ),
inference(cnf_transformation,[],[f250]) ).
cnf(c_122,plain,
( ~ aElementOf0(X0,X1)
| ~ sP4(X2,X1)
| aElementOf0(X0,sK13(X2,X0)) ),
inference(cnf_transformation,[],[f249]) ).
cnf(c_123,plain,
( ~ aElementOf0(X0,X1)
| ~ sP4(X2,X1)
| aElementOf0(sK13(X2,X0),X2) ),
inference(cnf_transformation,[],[f248]) ).
cnf(c_124,plain,
( ~ aElementOf0(X0,X1)
| ~ sP4(X2,X1)
| aInteger0(X0) ),
inference(cnf_transformation,[],[f247]) ).
cnf(c_125,plain,
( ~ sP4(X0,X1)
| aSet0(X1) ),
inference(cnf_transformation,[],[f246]) ).
cnf(c_126,plain,
( ~ aSubsetOf0(sK14(X0),cS1395)
| ~ aSet0(X0)
| sP5(X0) ),
inference(cnf_transformation,[],[f256]) ).
cnf(c_127,plain,
( ~ aSet0(X0)
| aElementOf0(sK14(X0),X0)
| sP5(X0) ),
inference(cnf_transformation,[],[f255]) ).
cnf(c_128,plain,
( ~ aElementOf0(sK15(X0,X1),X1)
| ~ aInteger0(sK15(X0,X1))
| ~ aSubsetOf0(X0,cS1395)
| ~ aSet0(X1)
| stldt0(X0) = X1
| aElementOf0(sK15(X0,X1),X0) ),
inference(cnf_transformation,[],[f263]) ).
cnf(c_129,plain,
( ~ aElementOf0(sK15(X0,X1),X0)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSet0(X1)
| stldt0(X0) = X1
| aElementOf0(sK15(X0,X1),X1) ),
inference(cnf_transformation,[],[f262]) ).
cnf(c_130,plain,
( ~ aSubsetOf0(X0,cS1395)
| ~ aSet0(X1)
| stldt0(X0) = X1
| aElementOf0(sK15(X0,X1),X1)
| aInteger0(sK15(X0,X1)) ),
inference(cnf_transformation,[],[f261]) ).
cnf(c_131,plain,
( ~ aSubsetOf0(X0,cS1395)
| ~ aInteger0(X1)
| aElementOf0(X1,stldt0(X0))
| aElementOf0(X1,X0) ),
inference(cnf_transformation,[],[f299]) ).
cnf(c_132,plain,
( ~ aElementOf0(X0,stldt0(X1))
| ~ aElementOf0(X0,X1)
| ~ aSubsetOf0(X1,cS1395) ),
inference(cnf_transformation,[],[f300]) ).
cnf(c_133,plain,
( ~ aElementOf0(X0,stldt0(X1))
| ~ aSubsetOf0(X1,cS1395)
| aInteger0(X0) ),
inference(cnf_transformation,[],[f301]) ).
cnf(c_134,plain,
( ~ aSubsetOf0(X0,cS1395)
| aSet0(stldt0(X0)) ),
inference(cnf_transformation,[],[f302]) ).
cnf(c_135,plain,
( ~ sdteqdtlpzmzozddtrp0(sK16(X0,X1,X2),X0,X1)
| ~ aElementOf0(sK16(X0,X1,X2),X2)
| ~ aInteger0(sK16(X0,X1,X2))
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aSet0(X2)
| szAzrzSzezqlpdtcmdtrp0(X0,X1) = X2
| X1 = sz00 ),
inference(cnf_transformation,[],[f270]) ).
cnf(c_136,plain,
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aSet0(X2)
| szAzrzSzezqlpdtcmdtrp0(X0,X1) = X2
| X1 = sz00
| sdteqdtlpzmzozddtrp0(sK16(X0,X1,X2),X0,X1)
| aElementOf0(sK16(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f269]) ).
cnf(c_137,plain,
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aSet0(X2)
| szAzrzSzezqlpdtcmdtrp0(X0,X1) = X2
| X1 = sz00
| aElementOf0(sK16(X0,X1,X2),X2)
| aInteger0(sK16(X0,X1,X2)) ),
inference(cnf_transformation,[],[f268]) ).
cnf(c_138,plain,
( ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| X2 = sz00
| aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(X1,X2)) ),
inference(cnf_transformation,[],[f303]) ).
cnf(c_139,plain,
( ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(X1,X2))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| X2 = sz00
| sdteqdtlpzmzozddtrp0(X0,X1,X2) ),
inference(cnf_transformation,[],[f304]) ).
cnf(c_140,plain,
( ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(X1,X2))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| X2 = sz00
| aInteger0(X0) ),
inference(cnf_transformation,[],[f305]) ).
cnf(c_141,plain,
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| X1 = sz00
| aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1)) ),
inference(cnf_transformation,[],[f306]) ).
cnf(c_142,plain,
( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sK17(X0),X1),X0)
| ~ aSubsetOf0(X0,cS1395)
| ~ aInteger0(X1)
| X1 = sz00
| isOpen0(X0) ),
inference(cnf_transformation,[],[f275]) ).
cnf(c_143,plain,
( ~ aSubsetOf0(X0,cS1395)
| aElementOf0(sK17(X0),X0)
| isOpen0(X0) ),
inference(cnf_transformation,[],[f274]) ).
cnf(c_144,plain,
( ~ aElementOf0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ isOpen0(X1)
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,sK18(X1,X0)),X1) ),
inference(cnf_transformation,[],[f273]) ).
cnf(c_145,plain,
( sK18(X0,X1) != sz00
| ~ aElementOf0(X1,X0)
| ~ aSubsetOf0(X0,cS1395)
| ~ isOpen0(X0) ),
inference(cnf_transformation,[],[f272]) ).
cnf(c_146,plain,
( ~ aElementOf0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ isOpen0(X1)
| aInteger0(sK18(X1,X0)) ),
inference(cnf_transformation,[],[f271]) ).
cnf(c_147,plain,
( ~ aSubsetOf0(X0,cS1395)
| ~ isOpen0(stldt0(X0))
| isClosed0(X0) ),
inference(cnf_transformation,[],[f277]) ).
cnf(c_148,plain,
( ~ aSubsetOf0(X0,cS1395)
| ~ isClosed0(X0)
| isOpen0(stldt0(X0)) ),
inference(cnf_transformation,[],[f276]) ).
cnf(c_149,plain,
( ~ aSubsetOf0(sK19(X0),cS1395)
| ~ isOpen0(sK19(X0))
| ~ aSet0(X0)
| isOpen0(sbsmnsldt0(X0)) ),
inference(cnf_transformation,[],[f279]) ).
cnf(c_150,plain,
( ~ aSet0(X0)
| aElementOf0(sK19(X0),X0)
| isOpen0(sbsmnsldt0(X0)) ),
inference(cnf_transformation,[],[f278]) ).
cnf(c_151,plain,
( ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ isOpen0(X0)
| ~ isOpen0(X1)
| isOpen0(sdtslmnbsdt0(X0,X1)) ),
inference(cnf_transformation,[],[f280]) ).
cnf(c_152,plain,
( ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ isClosed0(X0)
| ~ isClosed0(X1)
| isClosed0(sdtbsmnsldt0(X0,X1)) ),
inference(cnf_transformation,[],[f281]) ).
cnf(c_153,plain,
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| X1 = sz00
| isClosed0(szAzrzSzezqlpdtcmdtrp0(X0,X1)) ),
inference(cnf_transformation,[],[f283]) ).
cnf(c_154,plain,
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| X1 = sz00
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),cS1395) ),
inference(cnf_transformation,[],[f282]) ).
cnf(c_155,plain,
aInteger0(xn),
inference(cnf_transformation,[],[f285]) ).
cnf(c_156,negated_conjecture,
( ~ aElementOf0(xn,sbsmnsldt0(cS2043))
| ~ aDivisorOf0(X0,xn)
| ~ isPrime0(X0) ),
inference(cnf_transformation,[],[f289]) ).
cnf(c_157,negated_conjecture,
( aElementOf0(xn,sbsmnsldt0(cS2043))
| isPrime0(sK20) ),
inference(cnf_transformation,[],[f290]) ).
cnf(c_158,negated_conjecture,
( aElementOf0(xn,sbsmnsldt0(cS2043))
| aDivisorOf0(sK20,xn) ),
inference(cnf_transformation,[],[f291]) ).
cnf(c_235,plain,
( ~ isPrime0(X0)
| ~ aDivisorOf0(X0,sz10) ),
inference(global_subsumption_just,[status(thm)],[c_86,c_50,c_86]) ).
cnf(c_236,plain,
( ~ aDivisorOf0(X0,sz10)
| ~ isPrime0(X0) ),
inference(renaming,[status(thm)],[c_235]) ).
cnf(c_238,plain,
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| X0 = sz00
| aDivisorOf0(X0,sdtasdt0(X0,X1)) ),
inference(global_subsumption_just,[status(thm)],[c_71,c_53,c_71]) ).
cnf(c_1857,plain,
X0 = X0,
theory(equality) ).
cnf(c_1858,plain,
X0_1 = X0_1,
theory(equality) ).
cnf(c_1859,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_1860,plain,
( X0 != X1
| ~ aInteger0(X1)
| aInteger0(X0) ),
theory(equality) ).
cnf(c_1861,plain,
( X0 != X1
| smndt0(X0) = smndt0(X1) ),
theory(equality) ).
cnf(c_1862,plain,
( X0 != X1
| X2 != X3
| sdtpldt0(X0,X2) = sdtpldt0(X1,X3) ),
theory(equality) ).
cnf(c_1863,plain,
( X0 != X1
| X2 != X3
| sdtasdt0(X0,X2) = sdtasdt0(X1,X3) ),
theory(equality) ).
cnf(c_1864,plain,
( X0 != X1
| X2 != X3
| ~ aDivisorOf0(X1,X3)
| aDivisorOf0(X0,X2) ),
theory(equality) ).
cnf(c_1865,plain,
( X0 != X1
| X2 != X3
| ~ sdteqdtlpzmzozddtrp0(X1,X4,X3)
| sdteqdtlpzmzozddtrp0(X0,X4,X2) ),
theory(equality) ).
cnf(c_1866,plain,
( X0 != X1
| ~ isPrime0(X1)
| isPrime0(X0) ),
theory(equality) ).
cnf(c_1867,plain,
( X0 != X1
| X2 != X3
| ~ aSubsetOf0(X1,X3)
| aSubsetOf0(X0,X2) ),
theory(equality) ).
cnf(c_1868,plain,
( X0 != X1
| X2 != X3
| ~ aElementOf0(X1,X3)
| aElementOf0(X0,X2) ),
theory(equality) ).
cnf(c_1869,plain,
( X0 != X1
| ~ aSet0(X1)
| aSet0(X0) ),
theory(equality) ).
cnf(c_1870,plain,
( X0 != X1
| ~ sP0(X2,X3,X1)
| sP0(X2,X3,X0) ),
theory(equality) ).
cnf(c_1871,plain,
( X0 != X1
| ~ sP2(X2,X3,X1)
| sP2(X2,X3,X0) ),
theory(equality) ).
cnf(c_1872,plain,
( X0 != X1
| sbsmnsldt0(X0) = sbsmnsldt0(X1) ),
theory(equality) ).
cnf(c_1873,plain,
( X0 != X1
| ~ sP4(X2,X1)
| sP4(X2,X0) ),
theory(equality) ).
cnf(c_1874,plain,
( X0 != X1
| X2 != X3
| szAzrzSzezqlpdtcmdtrp0(X0,X2) = szAzrzSzezqlpdtcmdtrp0(X1,X3) ),
theory(equality) ).
cnf(c_1875,plain,
( X0 != X1
| ~ isOpen0(X1)
| isOpen0(X0) ),
theory(equality) ).
cnf(c_1876,plain,
( X0 != X1
| ~ isClosed0(X1)
| isClosed0(X0) ),
theory(equality) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM447+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.12/0.32 % Computer : n024.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Fri Aug 25 13:45:09 EDT 2023
% 0.12/0.32 % CPUTime :
% 0.17/0.43 Running first-order theorem proving
% 0.17/0.43 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.08/1.05 % SZS status Started for theBenchmark.p
% 2.08/1.05 % SZS status CounterSatisfiable for theBenchmark.p
% 2.08/1.05
% 2.08/1.05 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.08/1.05
% 2.08/1.05 ------ iProver source info
% 2.08/1.05
% 2.08/1.05 git: date: 2023-05-31 18:12:56 +0000
% 2.08/1.05 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.08/1.05 git: non_committed_changes: false
% 2.08/1.05 git: last_make_outside_of_git: false
% 2.08/1.05
% 2.08/1.05 ------ Parsing...
% 2.08/1.05 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.08/1.05
% 2.08/1.05 ------ Preprocessing... sup_sim: 0 sf_s rm: 130 0s sf_e pe_s pe_e sf_s rm: 20 0s sf_e pe_s pe_e
% 2.08/1.05
% 2.08/1.05 ------ Preprocessing...------ preprocesses with Option_epr_horn
% 2.08/1.05 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.08/1.05 ------ Proving...
% 2.08/1.05 ------ Problem Properties
% 2.08/1.05
% 2.08/1.05
% 2.08/1.05 clauses 0
% 2.08/1.05 conjectures 0
% 2.08/1.05 EPR 0
% 2.08/1.05 Horn 0
% 2.08/1.05 unary 0
% 2.08/1.05 binary 0
% 2.08/1.05 lits 0
% 2.08/1.05 lits eq 0
% 2.08/1.05 fd_pure 0
% 2.08/1.05 fd_pseudo 0
% 2.08/1.05 fd_cond 0
% 2.08/1.05 fd_pseudo_cond 0
% 2.08/1.05 AC symbols 0
% 2.08/1.05
% 2.08/1.05 ------ Schedule EPR Horn non eq is on
% 2.08/1.05
% 2.08/1.05 ------ no conjectures: strip conj schedule
% 2.08/1.05
% 2.08/1.05 ------ no equalities: superposition off
% 2.08/1.05
% 2.08/1.05 ------ Option_epr_horn stripped conjectures Time Limit: Unbounded
% 2.08/1.05
% 2.08/1.05
% 2.08/1.05
% 2.08/1.05
% 2.08/1.05 % SZS status CounterSatisfiable for theBenchmark.p
% 2.08/1.05
% 2.08/1.05 % SZS output start Saturation for theBenchmark.p
% See solution above
% 2.08/1.05
% 2.08/1.06
%------------------------------------------------------------------------------