TSTP Solution File: NUM449+6 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM449+6 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n021.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 11:30:33 EDT 2023
% Result : Theorem 7.97s 1.67s
% Output : CNFRefutation 7.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 14
% Syntax : Number of formulae : 77 ( 18 unt; 0 def)
% Number of atoms : 685 ( 105 equ)
% Maximal formula atoms : 38 ( 8 avg)
% Number of connectives : 852 ( 244 ~; 210 |; 343 &)
% ( 12 <=>; 43 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 5 con; 0-2 aty)
% Number of variables : 182 ( 0 sgn; 107 !; 64 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntZero) ).
fof(f40,axiom,
! [X0] :
( ( ! [X1] :
( aElementOf0(X1,X0)
=> ( isClosed0(X1)
& aSubsetOf0(X1,cS1395) ) )
& isFinite0(X0)
& aSet0(X0) )
=> isClosed0(sbsmnsldt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mUnionSClosed) ).
fof(f41,axiom,
! [X0,X1] :
( ( sz00 != X1
& aInteger0(X1)
& aInteger0(X0) )
=> ( isClosed0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),cS1395) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mArSeqClosed) ).
fof(f42,axiom,
( xS = cS2043
& ! [X0] :
( ( ? [X1] :
( ( ( ! [X2] :
( ( ( ( sdteqdtlpzmzozddtrp0(X2,sz00,X1)
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
| ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00))
& aInteger0(X3) ) )
& aInteger0(X2) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
=> ( sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00))
& aInteger0(X3) )
& aInteger0(X2) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1)) )
=> szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0 )
& isPrime0(X1)
& sz00 != X1
& aInteger0(X1) )
=> aElementOf0(X0,xS) )
& ( aElementOf0(X0,xS)
=> ? [X1] :
( szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0
& ! [X2] :
( ( ( ( sdteqdtlpzmzozddtrp0(X2,sz00,X1)
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
| ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00))
& aInteger0(X3) ) )
& aInteger0(X2) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
=> ( sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00))
& aInteger0(X3) )
& aInteger0(X2) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
& isPrime0(X1)
& sz00 != X1
& aInteger0(X1) ) ) )
& aSet0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2046) ).
fof(f44,axiom,
isFinite0(xS),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2117) ).
fof(f45,conjecture,
( ( ! [X0] :
( aElementOf0(X0,sbsmnsldt0(xS))
<=> ( ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) )
& aInteger0(X0) ) )
& aSet0(sbsmnsldt0(xS)) )
=> ( isClosed0(sbsmnsldt0(xS))
| ( ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X0,sbsmnsldt0(xS))
& aInteger0(X0) ) )
=> ( isOpen0(stldt0(sbsmnsldt0(xS)))
| ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
=> ? [X1] :
( ( ( ! [X2] :
( ( ( ( sdteqdtlpzmzozddtrp0(X2,X0,X1)
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
| ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0))
& aInteger0(X3) ) )
& aInteger0(X2) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> ( sdteqdtlpzmzozddtrp0(X2,X0,X1)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
& ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0))
& aInteger0(X3) )
& aInteger0(X2) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(sbsmnsldt0(xS)))
| ! [X2] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> aElementOf0(X2,stldt0(sbsmnsldt0(xS))) ) ) )
& sz00 != X1
& aInteger0(X1) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f46,negated_conjecture,
~ ( ( ! [X0] :
( aElementOf0(X0,sbsmnsldt0(xS))
<=> ( ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) )
& aInteger0(X0) ) )
& aSet0(sbsmnsldt0(xS)) )
=> ( isClosed0(sbsmnsldt0(xS))
| ( ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X0,sbsmnsldt0(xS))
& aInteger0(X0) ) )
=> ( isOpen0(stldt0(sbsmnsldt0(xS)))
| ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
=> ? [X1] :
( ( ( ! [X2] :
( ( ( ( sdteqdtlpzmzozddtrp0(X2,X0,X1)
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
| ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0))
& aInteger0(X3) ) )
& aInteger0(X2) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> ( sdteqdtlpzmzozddtrp0(X2,X0,X1)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
& ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0))
& aInteger0(X3) )
& aInteger0(X2) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(sbsmnsldt0(xS)))
| ! [X2] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> aElementOf0(X2,stldt0(sbsmnsldt0(xS))) ) ) )
& sz00 != X1
& aInteger0(X1) ) ) ) ) ) ),
inference(negated_conjecture,[],[f45]) ).
fof(f53,plain,
( xS = cS2043
& ! [X0] :
( ( ? [X1] :
( ( ( ! [X2] :
( ( ( ( sdteqdtlpzmzozddtrp0(X2,sz00,X1)
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
| ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00))
& aInteger0(X3) ) )
& aInteger0(X2) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
=> ( sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& ? [X4] :
( sdtpldt0(X2,smndt0(sz00)) = sdtasdt0(X1,X4)
& aInteger0(X4) )
& aInteger0(X2) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1)) )
=> szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0 )
& isPrime0(X1)
& sz00 != X1
& aInteger0(X1) )
=> aElementOf0(X0,xS) )
& ( aElementOf0(X0,xS)
=> ? [X5] :
( szAzrzSzezqlpdtcmdtrp0(sz00,X5) = X0
& ! [X6] :
( ( ( ( sdteqdtlpzmzozddtrp0(X6,sz00,X5)
| aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
| ? [X7] :
( sdtpldt0(X6,smndt0(sz00)) = sdtasdt0(X5,X7)
& aInteger0(X7) ) )
& aInteger0(X6) )
=> aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5)) )
& ( aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
=> ( sdteqdtlpzmzozddtrp0(X6,sz00,X5)
& aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& ? [X8] :
( sdtpldt0(X6,smndt0(sz00)) = sdtasdt0(X5,X8)
& aInteger0(X8) )
& aInteger0(X6) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X5))
& isPrime0(X5)
& sz00 != X5
& aInteger0(X5) ) ) )
& aSet0(xS) ),
inference(rectify,[],[f42]) ).
fof(f55,plain,
~ ( ( ! [X0] :
( aElementOf0(X0,sbsmnsldt0(xS))
<=> ( ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) )
& aInteger0(X0) ) )
& aSet0(sbsmnsldt0(xS)) )
=> ( isClosed0(sbsmnsldt0(xS))
| ( ! [X2] :
( aElementOf0(X2,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X2,sbsmnsldt0(xS))
& aInteger0(X2) ) )
=> ( isOpen0(stldt0(sbsmnsldt0(xS)))
| ! [X3] :
( aElementOf0(X3,stldt0(sbsmnsldt0(xS)))
=> ? [X4] :
( ( ( ! [X5] :
( ( ( ( sdteqdtlpzmzozddtrp0(X5,X3,X4)
| aDivisorOf0(X4,sdtpldt0(X5,smndt0(X3)))
| ? [X6] :
( sdtpldt0(X5,smndt0(X3)) = sdtasdt0(X4,X6)
& aInteger0(X6) ) )
& aInteger0(X5) )
=> aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(X3,X4)) )
& ( aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(X3,X4))
=> ( sdteqdtlpzmzozddtrp0(X5,X3,X4)
& aDivisorOf0(X4,sdtpldt0(X5,smndt0(X3)))
& ? [X7] :
( sdtpldt0(X5,smndt0(X3)) = sdtasdt0(X4,X7)
& aInteger0(X7) )
& aInteger0(X5) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X3,X4)) )
=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X3,X4),stldt0(sbsmnsldt0(xS)))
| ! [X8] :
( aElementOf0(X8,szAzrzSzezqlpdtcmdtrp0(X3,X4))
=> aElementOf0(X8,stldt0(sbsmnsldt0(xS))) ) ) )
& sz00 != X4
& aInteger0(X4) ) ) ) ) ) ),
inference(rectify,[],[f46]) ).
fof(f108,plain,
! [X0] :
( isClosed0(sbsmnsldt0(X0))
| ? [X1] :
( ( ~ isClosed0(X1)
| ~ aSubsetOf0(X1,cS1395) )
& aElementOf0(X1,X0) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f109,plain,
! [X0] :
( isClosed0(sbsmnsldt0(X0))
| ? [X1] :
( ( ~ isClosed0(X1)
| ~ aSubsetOf0(X1,cS1395) )
& aElementOf0(X1,X0) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f108]) ).
fof(f110,plain,
! [X0,X1] :
( ( isClosed0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),cS1395) )
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f111,plain,
! [X0,X1] :
( ( isClosed0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),cS1395) )
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f110]) ).
fof(f112,plain,
( xS = cS2043
& ! [X0] :
( ( aElementOf0(X0,xS)
| ! [X1] :
( ( szAzrzSzezqlpdtcmdtrp0(sz00,X1) != X0
& ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| ( ~ sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& ! [X3] :
( sdtasdt0(X1,X3) != sdtpldt0(X2,smndt0(sz00))
| ~ aInteger0(X3) ) )
| ~ aInteger0(X2) )
& ( ( sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& ? [X4] :
( sdtpldt0(X2,smndt0(sz00)) = sdtasdt0(X1,X4)
& aInteger0(X4) )
& aInteger0(X2) )
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1)) )
| ~ isPrime0(X1)
| sz00 = X1
| ~ aInteger0(X1) ) )
& ( ? [X5] :
( szAzrzSzezqlpdtcmdtrp0(sz00,X5) = X0
& ! [X6] :
( ( aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| ( ~ sdteqdtlpzmzozddtrp0(X6,sz00,X5)
& ~ aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& ! [X7] :
( sdtpldt0(X6,smndt0(sz00)) != sdtasdt0(X5,X7)
| ~ aInteger0(X7) ) )
| ~ aInteger0(X6) )
& ( ( sdteqdtlpzmzozddtrp0(X6,sz00,X5)
& aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& ? [X8] :
( sdtpldt0(X6,smndt0(sz00)) = sdtasdt0(X5,X8)
& aInteger0(X8) )
& aInteger0(X6) )
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X5))
& isPrime0(X5)
& sz00 != X5
& aInteger0(X5) )
| ~ aElementOf0(X0,xS) ) )
& aSet0(xS) ),
inference(ennf_transformation,[],[f53]) ).
fof(f113,plain,
( xS = cS2043
& ! [X0] :
( ( aElementOf0(X0,xS)
| ! [X1] :
( ( szAzrzSzezqlpdtcmdtrp0(sz00,X1) != X0
& ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| ( ~ sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& ! [X3] :
( sdtasdt0(X1,X3) != sdtpldt0(X2,smndt0(sz00))
| ~ aInteger0(X3) ) )
| ~ aInteger0(X2) )
& ( ( sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& ? [X4] :
( sdtpldt0(X2,smndt0(sz00)) = sdtasdt0(X1,X4)
& aInteger0(X4) )
& aInteger0(X2) )
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1)) )
| ~ isPrime0(X1)
| sz00 = X1
| ~ aInteger0(X1) ) )
& ( ? [X5] :
( szAzrzSzezqlpdtcmdtrp0(sz00,X5) = X0
& ! [X6] :
( ( aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| ( ~ sdteqdtlpzmzozddtrp0(X6,sz00,X5)
& ~ aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& ! [X7] :
( sdtpldt0(X6,smndt0(sz00)) != sdtasdt0(X5,X7)
| ~ aInteger0(X7) ) )
| ~ aInteger0(X6) )
& ( ( sdteqdtlpzmzozddtrp0(X6,sz00,X5)
& aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& ? [X8] :
( sdtpldt0(X6,smndt0(sz00)) = sdtasdt0(X5,X8)
& aInteger0(X8) )
& aInteger0(X6) )
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X5))
& isPrime0(X5)
& sz00 != X5
& aInteger0(X5) )
| ~ aElementOf0(X0,xS) ) )
& aSet0(xS) ),
inference(flattening,[],[f112]) ).
fof(f114,plain,
( ~ isClosed0(sbsmnsldt0(xS))
& ~ isOpen0(stldt0(sbsmnsldt0(xS)))
& ? [X3] :
( ! [X4] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X3,X4),stldt0(sbsmnsldt0(xS)))
& ? [X8] :
( ~ aElementOf0(X8,stldt0(sbsmnsldt0(xS)))
& aElementOf0(X8,szAzrzSzezqlpdtcmdtrp0(X3,X4)) )
& ! [X5] :
( ( aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(X3,X4))
| ( ~ sdteqdtlpzmzozddtrp0(X5,X3,X4)
& ~ aDivisorOf0(X4,sdtpldt0(X5,smndt0(X3)))
& ! [X6] :
( sdtpldt0(X5,smndt0(X3)) != sdtasdt0(X4,X6)
| ~ aInteger0(X6) ) )
| ~ aInteger0(X5) )
& ( ( sdteqdtlpzmzozddtrp0(X5,X3,X4)
& aDivisorOf0(X4,sdtpldt0(X5,smndt0(X3)))
& ? [X7] :
( sdtpldt0(X5,smndt0(X3)) = sdtasdt0(X4,X7)
& aInteger0(X7) )
& aInteger0(X5) )
| ~ aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(X3,X4)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X3,X4)) )
| sz00 = X4
| ~ aInteger0(X4) )
& aElementOf0(X3,stldt0(sbsmnsldt0(xS))) )
& ! [X2] :
( aElementOf0(X2,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X2,sbsmnsldt0(xS))
& aInteger0(X2) ) )
& ! [X0] :
( aElementOf0(X0,sbsmnsldt0(xS))
<=> ( ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) )
& aInteger0(X0) ) )
& aSet0(sbsmnsldt0(xS)) ),
inference(ennf_transformation,[],[f55]) ).
fof(f115,plain,
( ~ isClosed0(sbsmnsldt0(xS))
& ~ isOpen0(stldt0(sbsmnsldt0(xS)))
& ? [X3] :
( ! [X4] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X3,X4),stldt0(sbsmnsldt0(xS)))
& ? [X8] :
( ~ aElementOf0(X8,stldt0(sbsmnsldt0(xS)))
& aElementOf0(X8,szAzrzSzezqlpdtcmdtrp0(X3,X4)) )
& ! [X5] :
( ( aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(X3,X4))
| ( ~ sdteqdtlpzmzozddtrp0(X5,X3,X4)
& ~ aDivisorOf0(X4,sdtpldt0(X5,smndt0(X3)))
& ! [X6] :
( sdtpldt0(X5,smndt0(X3)) != sdtasdt0(X4,X6)
| ~ aInteger0(X6) ) )
| ~ aInteger0(X5) )
& ( ( sdteqdtlpzmzozddtrp0(X5,X3,X4)
& aDivisorOf0(X4,sdtpldt0(X5,smndt0(X3)))
& ? [X7] :
( sdtpldt0(X5,smndt0(X3)) = sdtasdt0(X4,X7)
& aInteger0(X7) )
& aInteger0(X5) )
| ~ aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(X3,X4)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X3,X4)) )
| sz00 = X4
| ~ aInteger0(X4) )
& aElementOf0(X3,stldt0(sbsmnsldt0(xS))) )
& ! [X2] :
( aElementOf0(X2,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X2,sbsmnsldt0(xS))
& aInteger0(X2) ) )
& ! [X0] :
( aElementOf0(X0,sbsmnsldt0(xS))
<=> ( ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) )
& aInteger0(X0) ) )
& aSet0(sbsmnsldt0(xS)) ),
inference(flattening,[],[f114]) ).
fof(f125,plain,
! [X5] :
( ! [X6] :
( ( aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| ( ~ sdteqdtlpzmzozddtrp0(X6,sz00,X5)
& ~ aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& ! [X7] :
( sdtpldt0(X6,smndt0(sz00)) != sdtasdt0(X5,X7)
| ~ aInteger0(X7) ) )
| ~ aInteger0(X6) )
& ( ( sdteqdtlpzmzozddtrp0(X6,sz00,X5)
& aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& ? [X8] :
( sdtpldt0(X6,smndt0(sz00)) = sdtasdt0(X5,X8)
& aInteger0(X8) )
& aInteger0(X6) )
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5)) ) )
| ~ sP6(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f126,plain,
! [X1] :
( ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| ( ~ sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& ! [X3] :
( sdtasdt0(X1,X3) != sdtpldt0(X2,smndt0(sz00))
| ~ aInteger0(X3) ) )
| ~ aInteger0(X2) )
& ( ( sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& ? [X4] :
( sdtpldt0(X2,smndt0(sz00)) = sdtasdt0(X1,X4)
& aInteger0(X4) )
& aInteger0(X2) )
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) ) )
| ~ sP7(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f127,plain,
( xS = cS2043
& ! [X0] :
( ( aElementOf0(X0,xS)
| ! [X1] :
( ( szAzrzSzezqlpdtcmdtrp0(sz00,X1) != X0
& sP7(X1)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1)) )
| ~ isPrime0(X1)
| sz00 = X1
| ~ aInteger0(X1) ) )
& ( ? [X5] :
( szAzrzSzezqlpdtcmdtrp0(sz00,X5) = X0
& sP6(X5)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X5))
& isPrime0(X5)
& sz00 != X5
& aInteger0(X5) )
| ~ aElementOf0(X0,xS) ) )
& aSet0(xS) ),
inference(definition_folding,[],[f113,f126,f125]) ).
fof(f128,plain,
! [X4,X3] :
( ! [X5] :
( ( aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(X3,X4))
| ( ~ sdteqdtlpzmzozddtrp0(X5,X3,X4)
& ~ aDivisorOf0(X4,sdtpldt0(X5,smndt0(X3)))
& ! [X6] :
( sdtpldt0(X5,smndt0(X3)) != sdtasdt0(X4,X6)
| ~ aInteger0(X6) ) )
| ~ aInteger0(X5) )
& ( ( sdteqdtlpzmzozddtrp0(X5,X3,X4)
& aDivisorOf0(X4,sdtpldt0(X5,smndt0(X3)))
& ? [X7] :
( sdtpldt0(X5,smndt0(X3)) = sdtasdt0(X4,X7)
& aInteger0(X7) )
& aInteger0(X5) )
| ~ aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(X3,X4)) ) )
| ~ sP8(X4,X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f129,plain,
( ~ isClosed0(sbsmnsldt0(xS))
& ~ isOpen0(stldt0(sbsmnsldt0(xS)))
& ? [X3] :
( ! [X4] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X3,X4),stldt0(sbsmnsldt0(xS)))
& ? [X8] :
( ~ aElementOf0(X8,stldt0(sbsmnsldt0(xS)))
& aElementOf0(X8,szAzrzSzezqlpdtcmdtrp0(X3,X4)) )
& sP8(X4,X3)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X3,X4)) )
| sz00 = X4
| ~ aInteger0(X4) )
& aElementOf0(X3,stldt0(sbsmnsldt0(xS))) )
& ! [X2] :
( aElementOf0(X2,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X2,sbsmnsldt0(xS))
& aInteger0(X2) ) )
& ! [X0] :
( aElementOf0(X0,sbsmnsldt0(xS))
<=> ( ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) )
& aInteger0(X0) ) )
& aSet0(sbsmnsldt0(xS)) ),
inference(definition_folding,[],[f115,f128]) ).
fof(f187,plain,
! [X0] :
( ? [X1] :
( ( ~ isClosed0(X1)
| ~ aSubsetOf0(X1,cS1395) )
& aElementOf0(X1,X0) )
=> ( ( ~ isClosed0(sK23(X0))
| ~ aSubsetOf0(sK23(X0),cS1395) )
& aElementOf0(sK23(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f188,plain,
! [X0] :
( isClosed0(sbsmnsldt0(X0))
| ( ( ~ isClosed0(sK23(X0))
| ~ aSubsetOf0(sK23(X0),cS1395) )
& aElementOf0(sK23(X0),X0) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f109,f187]) ).
fof(f197,plain,
( xS = cS2043
& ! [X0] :
( ( aElementOf0(X0,xS)
| ! [X1] :
( ( szAzrzSzezqlpdtcmdtrp0(sz00,X1) != X0
& sP7(X1)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1)) )
| ~ isPrime0(X1)
| sz00 = X1
| ~ aInteger0(X1) ) )
& ( ? [X2] :
( szAzrzSzezqlpdtcmdtrp0(sz00,X2) = X0
& sP6(X2)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X2))
& isPrime0(X2)
& sz00 != X2
& aInteger0(X2) )
| ~ aElementOf0(X0,xS) ) )
& aSet0(xS) ),
inference(rectify,[],[f127]) ).
fof(f198,plain,
! [X0] :
( ? [X2] :
( szAzrzSzezqlpdtcmdtrp0(sz00,X2) = X0
& sP6(X2)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X2))
& isPrime0(X2)
& sz00 != X2
& aInteger0(X2) )
=> ( szAzrzSzezqlpdtcmdtrp0(sz00,sK26(X0)) = X0
& sP6(sK26(X0))
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,sK26(X0)))
& isPrime0(sK26(X0))
& sz00 != sK26(X0)
& aInteger0(sK26(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f199,plain,
( xS = cS2043
& ! [X0] :
( ( aElementOf0(X0,xS)
| ! [X1] :
( ( szAzrzSzezqlpdtcmdtrp0(sz00,X1) != X0
& sP7(X1)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1)) )
| ~ isPrime0(X1)
| sz00 = X1
| ~ aInteger0(X1) ) )
& ( ( szAzrzSzezqlpdtcmdtrp0(sz00,sK26(X0)) = X0
& sP6(sK26(X0))
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,sK26(X0)))
& isPrime0(sK26(X0))
& sz00 != sK26(X0)
& aInteger0(sK26(X0)) )
| ~ aElementOf0(X0,xS) ) )
& aSet0(xS) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f197,f198]) ).
fof(f209,plain,
( ~ isClosed0(sbsmnsldt0(xS))
& ~ isOpen0(stldt0(sbsmnsldt0(xS)))
& ? [X3] :
( ! [X4] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X3,X4),stldt0(sbsmnsldt0(xS)))
& ? [X8] :
( ~ aElementOf0(X8,stldt0(sbsmnsldt0(xS)))
& aElementOf0(X8,szAzrzSzezqlpdtcmdtrp0(X3,X4)) )
& sP8(X4,X3)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X3,X4)) )
| sz00 = X4
| ~ aInteger0(X4) )
& aElementOf0(X3,stldt0(sbsmnsldt0(xS))) )
& ! [X2] :
( ( aElementOf0(X2,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X2,sbsmnsldt0(xS))
| ~ aInteger0(X2) )
& ( ( ~ aElementOf0(X2,sbsmnsldt0(xS))
& aInteger0(X2) )
| ~ aElementOf0(X2,stldt0(sbsmnsldt0(xS))) ) )
& ! [X0] :
( ( aElementOf0(X0,sbsmnsldt0(xS))
| ! [X1] :
( ~ aElementOf0(X0,X1)
| ~ aElementOf0(X1,xS) )
| ~ aInteger0(X0) )
& ( ( ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) )
& aInteger0(X0) )
| ~ aElementOf0(X0,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS)) ),
inference(nnf_transformation,[],[f129]) ).
fof(f210,plain,
( ~ isClosed0(sbsmnsldt0(xS))
& ~ isOpen0(stldt0(sbsmnsldt0(xS)))
& ? [X3] :
( ! [X4] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X3,X4),stldt0(sbsmnsldt0(xS)))
& ? [X8] :
( ~ aElementOf0(X8,stldt0(sbsmnsldt0(xS)))
& aElementOf0(X8,szAzrzSzezqlpdtcmdtrp0(X3,X4)) )
& sP8(X4,X3)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X3,X4)) )
| sz00 = X4
| ~ aInteger0(X4) )
& aElementOf0(X3,stldt0(sbsmnsldt0(xS))) )
& ! [X2] :
( ( aElementOf0(X2,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X2,sbsmnsldt0(xS))
| ~ aInteger0(X2) )
& ( ( ~ aElementOf0(X2,sbsmnsldt0(xS))
& aInteger0(X2) )
| ~ aElementOf0(X2,stldt0(sbsmnsldt0(xS))) ) )
& ! [X0] :
( ( aElementOf0(X0,sbsmnsldt0(xS))
| ! [X1] :
( ~ aElementOf0(X0,X1)
| ~ aElementOf0(X1,xS) )
| ~ aInteger0(X0) )
& ( ( ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) )
& aInteger0(X0) )
| ~ aElementOf0(X0,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS)) ),
inference(flattening,[],[f209]) ).
fof(f211,plain,
( ~ isClosed0(sbsmnsldt0(xS))
& ~ isOpen0(stldt0(sbsmnsldt0(xS)))
& ? [X0] :
( ! [X1] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(sbsmnsldt0(xS)))
& ? [X2] :
( ~ aElementOf0(X2,stldt0(sbsmnsldt0(xS)))
& aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& sP8(X1,X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
| sz00 = X1
| ~ aInteger0(X1) )
& aElementOf0(X0,stldt0(sbsmnsldt0(xS))) )
& ! [X3] :
( ( aElementOf0(X3,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X3,sbsmnsldt0(xS))
| ~ aInteger0(X3) )
& ( ( ~ aElementOf0(X3,sbsmnsldt0(xS))
& aInteger0(X3) )
| ~ aElementOf0(X3,stldt0(sbsmnsldt0(xS))) ) )
& ! [X4] :
( ( aElementOf0(X4,sbsmnsldt0(xS))
| ! [X5] :
( ~ aElementOf0(X4,X5)
| ~ aElementOf0(X5,xS) )
| ~ aInteger0(X4) )
& ( ( ? [X6] :
( aElementOf0(X4,X6)
& aElementOf0(X6,xS) )
& aInteger0(X4) )
| ~ aElementOf0(X4,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS)) ),
inference(rectify,[],[f210]) ).
fof(f212,plain,
( ? [X0] :
( ! [X1] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(sbsmnsldt0(xS)))
& ? [X2] :
( ~ aElementOf0(X2,stldt0(sbsmnsldt0(xS)))
& aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& sP8(X1,X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
| sz00 = X1
| ~ aInteger0(X1) )
& aElementOf0(X0,stldt0(sbsmnsldt0(xS))) )
=> ( ! [X1] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sK29,X1),stldt0(sbsmnsldt0(xS)))
& ? [X2] :
( ~ aElementOf0(X2,stldt0(sbsmnsldt0(xS)))
& aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sK29,X1)) )
& sP8(X1,sK29)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sK29,X1)) )
| sz00 = X1
| ~ aInteger0(X1) )
& aElementOf0(sK29,stldt0(sbsmnsldt0(xS))) ) ),
introduced(choice_axiom,[]) ).
fof(f213,plain,
! [X1] :
( ? [X2] :
( ~ aElementOf0(X2,stldt0(sbsmnsldt0(xS)))
& aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sK29,X1)) )
=> ( ~ aElementOf0(sK30(X1),stldt0(sbsmnsldt0(xS)))
& aElementOf0(sK30(X1),szAzrzSzezqlpdtcmdtrp0(sK29,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f214,plain,
! [X4] :
( ? [X6] :
( aElementOf0(X4,X6)
& aElementOf0(X6,xS) )
=> ( aElementOf0(X4,sK31(X4))
& aElementOf0(sK31(X4),xS) ) ),
introduced(choice_axiom,[]) ).
fof(f215,plain,
( ~ isClosed0(sbsmnsldt0(xS))
& ~ isOpen0(stldt0(sbsmnsldt0(xS)))
& ! [X1] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sK29,X1),stldt0(sbsmnsldt0(xS)))
& ~ aElementOf0(sK30(X1),stldt0(sbsmnsldt0(xS)))
& aElementOf0(sK30(X1),szAzrzSzezqlpdtcmdtrp0(sK29,X1))
& sP8(X1,sK29)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sK29,X1)) )
| sz00 = X1
| ~ aInteger0(X1) )
& aElementOf0(sK29,stldt0(sbsmnsldt0(xS)))
& ! [X3] :
( ( aElementOf0(X3,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X3,sbsmnsldt0(xS))
| ~ aInteger0(X3) )
& ( ( ~ aElementOf0(X3,sbsmnsldt0(xS))
& aInteger0(X3) )
| ~ aElementOf0(X3,stldt0(sbsmnsldt0(xS))) ) )
& ! [X4] :
( ( aElementOf0(X4,sbsmnsldt0(xS))
| ! [X5] :
( ~ aElementOf0(X4,X5)
| ~ aElementOf0(X5,xS) )
| ~ aInteger0(X4) )
& ( ( aElementOf0(X4,sK31(X4))
& aElementOf0(sK31(X4),xS)
& aInteger0(X4) )
| ~ aElementOf0(X4,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29,sK30,sK31])],[f211,f214,f213,f212]) ).
fof(f216,plain,
aInteger0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f320,plain,
! [X0] :
( isClosed0(sbsmnsldt0(X0))
| aElementOf0(sK23(X0),X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f188]) ).
fof(f321,plain,
! [X0] :
( isClosed0(sbsmnsldt0(X0))
| ~ isClosed0(sK23(X0))
| ~ aSubsetOf0(sK23(X0),cS1395)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f188]) ).
fof(f322,plain,
! [X0,X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),cS1395)
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f323,plain,
! [X0,X1] :
( isClosed0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f340,plain,
aSet0(xS),
inference(cnf_transformation,[],[f199]) ).
fof(f341,plain,
! [X0] :
( aInteger0(sK26(X0))
| ~ aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f199]) ).
fof(f342,plain,
! [X0] :
( sz00 != sK26(X0)
| ~ aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f199]) ).
fof(f346,plain,
! [X0] :
( szAzrzSzezqlpdtcmdtrp0(sz00,sK26(X0)) = X0
| ~ aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f199]) ).
fof(f350,plain,
xS = cS2043,
inference(cnf_transformation,[],[f199]) ).
fof(f364,plain,
isFinite0(xS),
inference(cnf_transformation,[],[f44]) ).
fof(f388,plain,
~ isClosed0(sbsmnsldt0(xS)),
inference(cnf_transformation,[],[f215]) ).
fof(f392,plain,
! [X0] :
( szAzrzSzezqlpdtcmdtrp0(sz00,sK26(X0)) = X0
| ~ aElementOf0(X0,cS2043) ),
inference(definition_unfolding,[],[f346,f350]) ).
fof(f396,plain,
! [X0] :
( sz00 != sK26(X0)
| ~ aElementOf0(X0,cS2043) ),
inference(definition_unfolding,[],[f342,f350]) ).
fof(f397,plain,
! [X0] :
( aInteger0(sK26(X0))
| ~ aElementOf0(X0,cS2043) ),
inference(definition_unfolding,[],[f341,f350]) ).
fof(f398,plain,
aSet0(cS2043),
inference(definition_unfolding,[],[f340,f350]) ).
fof(f412,plain,
isFinite0(cS2043),
inference(definition_unfolding,[],[f364,f350]) ).
fof(f413,plain,
~ isClosed0(sbsmnsldt0(cS2043)),
inference(definition_unfolding,[],[f388,f350]) ).
cnf(c_49,plain,
aInteger0(sz00),
inference(cnf_transformation,[],[f216]) ).
cnf(c_153,plain,
( ~ aSubsetOf0(sK23(X0),cS1395)
| ~ isClosed0(sK23(X0))
| ~ aSet0(X0)
| ~ isFinite0(X0)
| isClosed0(sbsmnsldt0(X0)) ),
inference(cnf_transformation,[],[f321]) ).
cnf(c_154,plain,
( ~ aSet0(X0)
| ~ isFinite0(X0)
| aElementOf0(sK23(X0),X0)
| isClosed0(sbsmnsldt0(X0)) ),
inference(cnf_transformation,[],[f320]) ).
cnf(c_155,plain,
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| X1 = sz00
| isClosed0(szAzrzSzezqlpdtcmdtrp0(X0,X1)) ),
inference(cnf_transformation,[],[f323]) ).
cnf(c_156,plain,
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| X1 = sz00
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),cS1395) ),
inference(cnf_transformation,[],[f322]) ).
cnf(c_176,plain,
( ~ aElementOf0(X0,cS2043)
| szAzrzSzezqlpdtcmdtrp0(sz00,sK26(X0)) = X0 ),
inference(cnf_transformation,[],[f392]) ).
cnf(c_180,plain,
( sK26(X0) != sz00
| ~ aElementOf0(X0,cS2043) ),
inference(cnf_transformation,[],[f396]) ).
cnf(c_181,plain,
( ~ aElementOf0(X0,cS2043)
| aInteger0(sK26(X0)) ),
inference(cnf_transformation,[],[f397]) ).
cnf(c_182,plain,
aSet0(cS2043),
inference(cnf_transformation,[],[f398]) ).
cnf(c_196,plain,
isFinite0(cS2043),
inference(cnf_transformation,[],[f412]) ).
cnf(c_205,negated_conjecture,
~ isClosed0(sbsmnsldt0(cS2043)),
inference(cnf_transformation,[],[f413]) ).
cnf(c_2694,plain,
( X0 != cS2043
| ~ aSet0(X0)
| aElementOf0(sK23(X0),X0)
| isClosed0(sbsmnsldt0(X0)) ),
inference(resolution_lifted,[status(thm)],[c_154,c_196]) ).
cnf(c_2695,plain,
( ~ aSet0(cS2043)
| aElementOf0(sK23(cS2043),cS2043)
| isClosed0(sbsmnsldt0(cS2043)) ),
inference(unflattening,[status(thm)],[c_2694]) ).
cnf(c_2696,plain,
aElementOf0(sK23(cS2043),cS2043),
inference(global_subsumption_just,[status(thm)],[c_2695,c_182,c_205,c_2695]) ).
cnf(c_2701,plain,
( X0 != cS2043
| ~ aSubsetOf0(sK23(X0),cS1395)
| ~ isClosed0(sK23(X0))
| ~ aSet0(X0)
| isClosed0(sbsmnsldt0(X0)) ),
inference(resolution_lifted,[status(thm)],[c_153,c_196]) ).
cnf(c_2702,plain,
( ~ aSubsetOf0(sK23(cS2043),cS1395)
| ~ isClosed0(sK23(cS2043))
| ~ aSet0(cS2043)
| isClosed0(sbsmnsldt0(cS2043)) ),
inference(unflattening,[status(thm)],[c_2701]) ).
cnf(c_2703,plain,
( ~ aSubsetOf0(sK23(cS2043),cS1395)
| ~ isClosed0(sK23(cS2043)) ),
inference(global_subsumption_just,[status(thm)],[c_2702,c_182,c_205,c_2702]) ).
cnf(c_15460,plain,
aInteger0(sK26(sK23(cS2043))),
inference(superposition,[status(thm)],[c_2696,c_181]) ).
cnf(c_16334,plain,
( sK26(sK23(cS2043)) != sz00
| ~ aElementOf0(sK23(cS2043),cS2043) ),
inference(instantiation,[status(thm)],[c_180]) ).
cnf(c_18580,plain,
szAzrzSzezqlpdtcmdtrp0(sz00,sK26(sK23(cS2043))) = sK23(cS2043),
inference(superposition,[status(thm)],[c_2696,c_176]) ).
cnf(c_31189,plain,
( ~ aInteger0(sK26(sK23(cS2043)))
| ~ aInteger0(sz00)
| sK26(sK23(cS2043)) = sz00
| aSubsetOf0(sK23(cS2043),cS1395) ),
inference(superposition,[status(thm)],[c_18580,c_156]) ).
cnf(c_31190,plain,
( ~ aInteger0(sK26(sK23(cS2043)))
| ~ aInteger0(sz00)
| sK26(sK23(cS2043)) = sz00
| isClosed0(sK23(cS2043)) ),
inference(superposition,[status(thm)],[c_18580,c_155]) ).
cnf(c_31226,plain,
( sK26(sK23(cS2043)) = sz00
| isClosed0(sK23(cS2043)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31190,c_49,c_15460]) ).
cnf(c_31229,plain,
( sK26(sK23(cS2043)) = sz00
| aSubsetOf0(sK23(cS2043),cS1395) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31189,c_49,c_15460]) ).
cnf(c_31273,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_31229,c_31226,c_16334,c_2703,c_2695,c_205,c_182]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM449+6 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 17:55:11 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.97/1.67 % SZS status Started for theBenchmark.p
% 7.97/1.67 % SZS status Theorem for theBenchmark.p
% 7.97/1.67
% 7.97/1.67 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.97/1.67
% 7.97/1.67 ------ iProver source info
% 7.97/1.67
% 7.97/1.67 git: date: 2023-05-31 18:12:56 +0000
% 7.97/1.67 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.97/1.67 git: non_committed_changes: false
% 7.97/1.67 git: last_make_outside_of_git: false
% 7.97/1.67
% 7.97/1.67 ------ Parsing...
% 7.97/1.67 ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.97/1.67
% 7.97/1.67 ------ Preprocessing... sup_sim: 11 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe_e
% 7.97/1.67
% 7.97/1.67 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.97/1.67
% 7.97/1.67 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.97/1.67 ------ Proving...
% 7.97/1.67 ------ Problem Properties
% 7.97/1.67
% 7.97/1.67
% 7.97/1.67 clauses 164
% 7.97/1.67 conjectures 7
% 7.97/1.67 EPR 33
% 7.97/1.67 Horn 109
% 7.97/1.67 unary 12
% 7.97/1.67 binary 34
% 7.97/1.67 lits 566
% 7.97/1.67 lits eq 80
% 7.97/1.67 fd_pure 0
% 7.97/1.67 fd_pseudo 0
% 7.97/1.67 fd_cond 34
% 7.97/1.67 fd_pseudo_cond 9
% 7.97/1.67 AC symbols 0
% 7.97/1.67
% 7.97/1.67 ------ Schedule dynamic 5 is on
% 7.97/1.67
% 7.97/1.67 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.97/1.67
% 7.97/1.67
% 7.97/1.67 ------
% 7.97/1.67 Current options:
% 7.97/1.67 ------
% 7.97/1.67
% 7.97/1.67
% 7.97/1.67
% 7.97/1.67
% 7.97/1.67 ------ Proving...
% 7.97/1.67
% 7.97/1.67
% 7.97/1.67 % SZS status Theorem for theBenchmark.p
% 7.97/1.67
% 7.97/1.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.97/1.67
% 7.97/1.67
%------------------------------------------------------------------------------