%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM448+5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:24:29 PM UTC 2026
% Result : Theorem 16.26s 3.32s
% Output : CNFRefutation 16.26s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f104ERROR: Could not build tree for root c_30494ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntOne) ).
fof(f4,axiom,
! [X0] :
( aInteger0(X0)
=> aInteger0(smndt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntNeg) ).
fof(f13,axiom,
! [X0] :
( aInteger0(X0)
=> ( X0 = sdtasdt0(sz10,X0)
& sdtasdt0(X0,sz10) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulOne) ).
fof(f15,axiom,
! [X0] :
( aInteger0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sdtasdt0(X0,sz00) = sz00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulZero) ).
fof(f25,axiom,
! [X0] :
( aInteger0(X0)
=> ( ? [X1] :
( isPrime0(X1)
& aDivisorOf0(X1,X0) )
<=> ( X0 != smndt0(sz10)
& X0 != sz10 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPrimeDivisor) ).
fof(f43,conjecture,
( ! [X0] :
( aInteger0(X0)
=> ( ( ? [X1] :
( isPrime0(X1)
& ( aDivisorOf0(X1,X0)
| ( ? [X2] :
( sdtasdt0(X1,X2) = X0
& aInteger0(X2) )
& X1 != sz00
& aInteger0(X1) ) ) )
=> ( aElementOf0(X0,sbsmnsldt0(xS))
& ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) ) ) )
& ( ( aElementOf0(X0,sbsmnsldt0(xS))
| ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) ) )
=> ? [X1] :
( isPrime0(X1)
& aDivisorOf0(X1,X0)
& ? [X2] :
( sdtasdt0(X1,X2) = X0
& aInteger0(X2) )
& X1 != sz00
& aInteger0(X1) ) ) ) )
=> ( ( ! [X0] :
( aElementOf0(X0,sbsmnsldt0(xS))
<=> ( ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) )
& aInteger0(X0) ) )
& aSet0(sbsmnsldt0(xS)) )
=> ( ( ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X0,sbsmnsldt0(xS))
& aInteger0(X0) ) )
& aSet0(stldt0(sbsmnsldt0(xS))) )
=> ( stldt0(sbsmnsldt0(xS)) = cS2076
| ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
<=> ( X0 = smndt0(sz10)
| X0 = sz10 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f44,negated_conjecture,
~ ( ! [X0] :
( aInteger0(X0)
=> ( ( ? [X1] :
( isPrime0(X1)
& ( aDivisorOf0(X1,X0)
| ( ? [X2] :
( sdtasdt0(X1,X2) = X0
& aInteger0(X2) )
& X1 != sz00
& aInteger0(X1) ) ) )
=> ( aElementOf0(X0,sbsmnsldt0(xS))
& ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) ) ) )
& ( ( aElementOf0(X0,sbsmnsldt0(xS))
| ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) ) )
=> ? [X1] :
( isPrime0(X1)
& aDivisorOf0(X1,X0)
& ? [X2] :
( sdtasdt0(X1,X2) = X0
& aInteger0(X2) )
& X1 != sz00
& aInteger0(X1) ) ) ) )
=> ( ( ! [X0] :
( aElementOf0(X0,sbsmnsldt0(xS))
<=> ( ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) )
& aInteger0(X0) ) )
& aSet0(sbsmnsldt0(xS)) )
=> ( ( ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X0,sbsmnsldt0(xS))
& aInteger0(X0) ) )
& aSet0(stldt0(sbsmnsldt0(xS))) )
=> ( stldt0(sbsmnsldt0(xS)) = cS2076
| ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
<=> ( X0 = smndt0(sz10)
| X0 = sz10 ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f43]) ).
fof(f46,plain,
~ ( ! [X0] :
( aInteger0(X0)
=> ( ( ? [X4] :
( isPrime0(X4)
& ( aDivisorOf0(X4,X0)
| ( ? [X5] :
( sdtasdt0(X4,X5) = X0
& aInteger0(X5) )
& sz00 != X4
& aInteger0(X4) ) ) )
=> ( aElementOf0(X0,sbsmnsldt0(xS))
& ? [X6] :
( aElementOf0(X0,X6)
& aElementOf0(X6,xS) ) ) )
& ( ( aElementOf0(X0,sbsmnsldt0(xS))
| ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) ) )
=> ? [X2] :
( isPrime0(X2)
& aDivisorOf0(X2,X0)
& ? [X3] :
( sdtasdt0(X2,X3) = X0
& aInteger0(X3) )
& sz00 != X2
& aInteger0(X2) ) ) ) )
=> ( ( ! [X7] :
( aElementOf0(X7,sbsmnsldt0(xS))
<=> ( ? [X8] :
( aElementOf0(X7,X8)
& aElementOf0(X8,xS) )
& aInteger0(X7) ) )
& aSet0(sbsmnsldt0(xS)) )
=> ( ( ! [X9] :
( aElementOf0(X9,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X9,sbsmnsldt0(xS))
& aInteger0(X9) ) )
& aSet0(stldt0(sbsmnsldt0(xS))) )
=> ( stldt0(sbsmnsldt0(xS)) = cS2076
| ! [X10] :
( aElementOf0(X10,stldt0(sbsmnsldt0(xS)))
<=> ( smndt0(sz10) = X10
| sz10 = X10 ) ) ) ) ) ),
inference(rectify,[],[f44]) ).
fof(f54,plain,
( ! [X0] :
( ~ aInteger0(X0)
| ( ( ! [X4] :
( ~ isPrime0(X4)
| ( ~ aDivisorOf0(X4,X0)
& ( ! [X5] :
( sdtasdt0(X4,X5) != X0
| ~ aInteger0(X5) )
| sz00 = X4
| ~ aInteger0(X4) ) ) )
| ( aElementOf0(X0,sbsmnsldt0(xS))
& ? [X6] :
( aElementOf0(X0,X6)
& aElementOf0(X6,xS) ) ) )
& ( ( ~ aElementOf0(X0,sbsmnsldt0(xS))
& ! [X1] :
( ~ aElementOf0(X0,X1)
| ~ aElementOf0(X1,xS) ) )
| ? [X2] :
( isPrime0(X2)
& aDivisorOf0(X2,X0)
& ? [X3] :
( sdtasdt0(X2,X3) = X0
& aInteger0(X3) )
& sz00 != X2
& aInteger0(X2) ) ) ) )
& ! [X7] :
( aElementOf0(X7,sbsmnsldt0(xS))
<=> ( ? [X8] :
( aElementOf0(X7,X8)
& aElementOf0(X8,xS) )
& aInteger0(X7) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X9] :
( aElementOf0(X9,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X9,sbsmnsldt0(xS))
& aInteger0(X9) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& stldt0(sbsmnsldt0(xS)) != cS2076
& ? [X10] :
( aElementOf0(X10,stldt0(sbsmnsldt0(xS)))
<~> ( smndt0(sz10) = X10
| sz10 = X10 ) ) ),
inference(ennf_transformation,[],[f46]) ).
fof(f55,plain,
( ! [X0] :
( ~ aInteger0(X0)
| ( ( ! [X4] :
( ~ isPrime0(X4)
| ( ~ aDivisorOf0(X4,X0)
& ( ! [X5] :
( sdtasdt0(X4,X5) != X0
| ~ aInteger0(X5) )
| sz00 = X4
| ~ aInteger0(X4) ) ) )
| ( aElementOf0(X0,sbsmnsldt0(xS))
& ? [X6] :
( aElementOf0(X0,X6)
& aElementOf0(X6,xS) ) ) )
& ( ( ~ aElementOf0(X0,sbsmnsldt0(xS))
& ! [X1] :
( ~ aElementOf0(X0,X1)
| ~ aElementOf0(X1,xS) ) )
| ? [X2] :
( isPrime0(X2)
& aDivisorOf0(X2,X0)
& ? [X3] :
( sdtasdt0(X2,X3) = X0
& aInteger0(X3) )
& sz00 != X2
& aInteger0(X2) ) ) ) )
& ! [X7] :
( aElementOf0(X7,sbsmnsldt0(xS))
<=> ( ? [X8] :
( aElementOf0(X7,X8)
& aElementOf0(X8,xS) )
& aInteger0(X7) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X9] :
( aElementOf0(X9,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X9,sbsmnsldt0(xS))
& aInteger0(X9) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& stldt0(sbsmnsldt0(xS)) != cS2076
& ? [X10] :
( aElementOf0(X10,stldt0(sbsmnsldt0(xS)))
<~> ( smndt0(sz10) = X10
| sz10 = X10 ) ) ),
inference(flattening,[],[f54]) ).
fof(f58,plain,
! [X0] :
( ~ aInteger0(X0)
| ( sz00 = sdtasdt0(sz00,X0)
& sdtasdt0(X0,sz00) = sz00 ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f59,plain,
! [X0] :
( ~ aInteger0(X0)
| ( ? [X1] :
( isPrime0(X1)
& aDivisorOf0(X1,X0) )
<=> ( X0 != smndt0(sz10)
& X0 != sz10 ) ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f65,plain,
! [X0] :
( ~ aInteger0(X0)
| aInteger0(smndt0(X0)) ),
inference(ennf_transformation,[],[f4]) ).
fof(f95,plain,
! [X0] :
( ~ aInteger0(X0)
| ( X0 = sdtasdt0(sz10,X0)
& sdtasdt0(X0,sz10) = X0 ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f116,plain,
( xS = cS2043
& ! [X0] :
( ( ! [X2] :
( ( sP0(X2)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X2))
& szAzrzSzezqlpdtcmdtrp0(sz00,X2) != X0 )
| ~ isPrime0(X2)
| sz00 = X2
| ~ aInteger0(X2) )
| aElementOf0(X0,xS) )
& ( ~ aElementOf0(X0,xS)
| ? [X1] :
( szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0
& sP1(X1)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
& isPrime0(X1)
& X1 != sz00
& aInteger0(X1) ) ) )
& aSet0(xS) ),
inference(rectify,[],[f104]) ).
fof(f117,plain,
( xS = cS2043
& ! [X0] :
( ( ! [X2] :
( ( sP0(X2)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X2))
& szAzrzSzezqlpdtcmdtrp0(sz00,X2) != X0 )
| ~ isPrime0(X2)
| sz00 = X2
| ~ aInteger0(X2) )
| aElementOf0(X0,xS) )
& ( ~ aElementOf0(X0,xS)
| ( szAzrzSzezqlpdtcmdtrp0(sz00,sK7(X0)) = X0
& sP1(sK7(X0))
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,sK7(X0)))
& isPrime0(sK7(X0))
& sz00 != sK7(X0)
& aInteger0(sK7(X0)) ) ) )
& aSet0(xS) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X1,sK7(X0))],[f116]) ).
fof(f121,plain,
( ! [X0] :
( ~ aInteger0(X0)
| ( ( ! [X4] :
( ~ isPrime0(X4)
| ( ~ aDivisorOf0(X4,X0)
& ( ! [X5] :
( sdtasdt0(X4,X5) != X0
| ~ aInteger0(X5) )
| sz00 = X4
| ~ aInteger0(X4) ) ) )
| ( aElementOf0(X0,sbsmnsldt0(xS))
& ? [X6] :
( aElementOf0(X0,X6)
& aElementOf0(X6,xS) ) ) )
& ( ( ~ aElementOf0(X0,sbsmnsldt0(xS))
& ! [X1] :
( ~ aElementOf0(X0,X1)
| ~ aElementOf0(X1,xS) ) )
| sP2(X0) ) ) )
& ! [X7] :
( ( ~ aElementOf0(X7,sbsmnsldt0(xS))
| ( ? [X8] :
( aElementOf0(X7,X8)
& aElementOf0(X8,xS) )
& aInteger0(X7) ) )
& ( ! [X8] :
( ~ aElementOf0(X7,X8)
| ~ aElementOf0(X8,xS) )
| ~ aInteger0(X7)
| aElementOf0(X7,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X9] :
( ( ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS)))
| ( ~ aElementOf0(X9,sbsmnsldt0(xS))
& aInteger0(X9) ) )
& ( aElementOf0(X9,sbsmnsldt0(xS))
| ~ aInteger0(X9)
| aElementOf0(X9,stldt0(sbsmnsldt0(xS))) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& stldt0(sbsmnsldt0(xS)) != cS2076
& ? [X10] :
( ( aElementOf0(X10,stldt0(sbsmnsldt0(xS)))
| smndt0(sz10) = X10
| sz10 = X10 )
& ( ~ aElementOf0(X10,stldt0(sbsmnsldt0(xS)))
| ( smndt0(sz10) != X10
& sz10 != X10 ) ) ) ),
inference(nnf_transformation,[],[f106]) ).
fof(f122,plain,
( ! [X0] :
( ~ aInteger0(X0)
| ( ( ! [X4] :
( ~ isPrime0(X4)
| ( ~ aDivisorOf0(X4,X0)
& ( ! [X5] :
( sdtasdt0(X4,X5) != X0
| ~ aInteger0(X5) )
| sz00 = X4
| ~ aInteger0(X4) ) ) )
| ( aElementOf0(X0,sbsmnsldt0(xS))
& ? [X6] :
( aElementOf0(X0,X6)
& aElementOf0(X6,xS) ) ) )
& ( ( ~ aElementOf0(X0,sbsmnsldt0(xS))
& ! [X1] :
( ~ aElementOf0(X0,X1)
| ~ aElementOf0(X1,xS) ) )
| sP2(X0) ) ) )
& ! [X7] :
( ( ~ aElementOf0(X7,sbsmnsldt0(xS))
| ( ? [X8] :
( aElementOf0(X7,X8)
& aElementOf0(X8,xS) )
& aInteger0(X7) ) )
& ( ! [X8] :
( ~ aElementOf0(X7,X8)
| ~ aElementOf0(X8,xS) )
| ~ aInteger0(X7)
| aElementOf0(X7,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X9] :
( ( ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS)))
| ( ~ aElementOf0(X9,sbsmnsldt0(xS))
& aInteger0(X9) ) )
& ( aElementOf0(X9,sbsmnsldt0(xS))
| ~ aInteger0(X9)
| aElementOf0(X9,stldt0(sbsmnsldt0(xS))) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& stldt0(sbsmnsldt0(xS)) != cS2076
& ? [X10] :
( ( aElementOf0(X10,stldt0(sbsmnsldt0(xS)))
| smndt0(sz10) = X10
| sz10 = X10 )
& ( ~ aElementOf0(X10,stldt0(sbsmnsldt0(xS)))
| ( smndt0(sz10) != X10
& sz10 != X10 ) ) ) ),
inference(flattening,[],[f121]) ).
fof(f123,plain,
( ! [X5] :
( ~ aInteger0(X5)
| ( ( ! [X8] :
( ~ isPrime0(X8)
| ( ~ aDivisorOf0(X8,X5)
& ( ! [X9] :
( sdtasdt0(X8,X9) != X5
| ~ aInteger0(X9) )
| sz00 = X8
| ~ aInteger0(X8) ) ) )
| ( aElementOf0(X5,sbsmnsldt0(xS))
& ? [X7] :
( aElementOf0(X5,X7)
& aElementOf0(X7,xS) ) ) )
& ( ( ~ aElementOf0(X5,sbsmnsldt0(xS))
& ! [X6] :
( ~ aElementOf0(X5,X6)
| ~ aElementOf0(X6,xS) ) )
| sP2(X5) ) ) )
& ! [X2] :
( ( ~ aElementOf0(X2,sbsmnsldt0(xS))
| ( ? [X4] :
( aElementOf0(X2,X4)
& aElementOf0(X4,xS) )
& aInteger0(X2) ) )
& ( ! [X3] :
( ~ aElementOf0(X2,X3)
| ~ aElementOf0(X3,xS) )
| ~ aInteger0(X2)
| aElementOf0(X2,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X1] :
( ( ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ( ~ aElementOf0(X1,sbsmnsldt0(xS))
& aInteger0(X1) ) )
& ( aElementOf0(X1,sbsmnsldt0(xS))
| ~ aInteger0(X1)
| aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& stldt0(sbsmnsldt0(xS)) != cS2076
& ? [X0] :
( ( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| smndt0(sz10) = X0
| sz10 = X0 )
& ( ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| ( smndt0(sz10) != X0
& sz10 != X0 ) ) ) ),
inference(rectify,[],[f122]) ).
fof(f124,plain,
( ! [X5] :
( ~ aInteger0(X5)
| ( ( ! [X8] :
( ~ isPrime0(X8)
| ( ~ aDivisorOf0(X8,X5)
& ( ! [X9] :
( sdtasdt0(X8,X9) != X5
| ~ aInteger0(X9) )
| sz00 = X8
| ~ aInteger0(X8) ) ) )
| ( aElementOf0(X5,sbsmnsldt0(xS))
& aElementOf0(X5,sK12(X5))
& aElementOf0(sK12(X5),xS) ) )
& ( ( ~ aElementOf0(X5,sbsmnsldt0(xS))
& ! [X6] :
( ~ aElementOf0(X5,X6)
| ~ aElementOf0(X6,xS) ) )
| sP2(X5) ) ) )
& ! [X2] :
( ( ~ aElementOf0(X2,sbsmnsldt0(xS))
| ( aElementOf0(X2,sK11(X2))
& aElementOf0(sK11(X2),xS)
& aInteger0(X2) ) )
& ( ! [X3] :
( ~ aElementOf0(X2,X3)
| ~ aElementOf0(X3,xS) )
| ~ aInteger0(X2)
| aElementOf0(X2,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X1] :
( ( ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ( ~ aElementOf0(X1,sbsmnsldt0(xS))
& aInteger0(X1) ) )
& ( aElementOf0(X1,sbsmnsldt0(xS))
| ~ aInteger0(X1)
| aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& stldt0(sbsmnsldt0(xS)) != cS2076
& ( aElementOf0(sK10,stldt0(sbsmnsldt0(xS)))
| smndt0(sz10) = sK10
| sz10 = sK10 )
& ( ~ aElementOf0(sK10,stldt0(sbsmnsldt0(xS)))
| ( smndt0(sz10) != sK10
& sz10 != sK10 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11,sK12]),skolemize(X0,sK10),skolemize(X4,sK11(X2)),skolemize(X7,sK12(X5))],[f123]) ).
fof(f125,plain,
! [X0] :
( ~ aInteger0(X0)
| ( ( ! [X1] :
( ~ isPrime0(X1)
| ~ aDivisorOf0(X1,X0) )
| ( X0 != smndt0(sz10)
& X0 != sz10 ) )
& ( smndt0(sz10) = X0
| sz10 = X0
| ? [X1] :
( isPrime0(X1)
& aDivisorOf0(X1,X0) ) ) ) ),
inference(nnf_transformation,[],[f59]) ).
fof(f126,plain,
! [X0] :
( ~ aInteger0(X0)
| ( ( ! [X1] :
( ~ isPrime0(X1)
| ~ aDivisorOf0(X1,X0) )
| ( X0 != smndt0(sz10)
& X0 != sz10 ) )
& ( smndt0(sz10) = X0
| sz10 = X0
| ? [X1] :
( isPrime0(X1)
& aDivisorOf0(X1,X0) ) ) ) ),
inference(flattening,[],[f125]) ).
fof(f127,plain,
! [X0] :
( ~ aInteger0(X0)
| ( ( ! [X2] :
( ~ isPrime0(X2)
| ~ aDivisorOf0(X2,X0) )
| ( X0 != smndt0(sz10)
& X0 != sz10 ) )
& ( smndt0(sz10) = X0
| sz10 = X0
| ? [X1] :
( isPrime0(X1)
& aDivisorOf0(X1,X0) ) ) ) ),
inference(rectify,[],[f126]) ).
fof(f128,plain,
! [X0] :
( ~ aInteger0(X0)
| ( ( ! [X2] :
( ~ isPrime0(X2)
| ~ aDivisorOf0(X2,X0) )
| ( X0 != smndt0(sz10)
& X0 != sz10 ) )
& ( smndt0(sz10) = X0
| sz10 = X0
| ( isPrime0(sK13(X0))
& aDivisorOf0(sK13(X0),X0) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X1,sK13(X0))],[f127]) ).
fof(f174,plain,
xS = cS2043,
inference(cnf_transformation,[],[f117]) ).
fof(f191,plain,
! [X8,X5] :
( ~ aInteger0(X5)
| ~ isPrime0(X8)
| ~ aDivisorOf0(X8,X5)
| aElementOf0(X5,sbsmnsldt0(xS)) ),
inference(cnf_transformation,[],[f124]) ).
fof(f197,plain,
! [X5] :
( ~ aInteger0(X5)
| ~ aElementOf0(X5,sbsmnsldt0(xS))
| sP2(X5) ),
inference(cnf_transformation,[],[f124]) ).
fof(f201,plain,
! [X2] :
( ~ aElementOf0(X2,sbsmnsldt0(xS))
| aInteger0(X2) ),
inference(cnf_transformation,[],[f124]) ).
fof(f204,plain,
! [X1] :
( ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
inference(cnf_transformation,[],[f124]) ).
fof(f205,plain,
! [X1] :
( ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| aInteger0(X1) ),
inference(cnf_transformation,[],[f124]) ).
fof(f206,plain,
! [X1] :
( aElementOf0(X1,sbsmnsldt0(xS))
| ~ aInteger0(X1)
| aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(cnf_transformation,[],[f124]) ).
fof(f209,plain,
( aElementOf0(sK10,stldt0(sbsmnsldt0(xS)))
| smndt0(sz10) = sK10
| sz10 = sK10 ),
inference(cnf_transformation,[],[f124]) ).
fof(f210,plain,
( ~ aElementOf0(sK10,stldt0(sbsmnsldt0(xS)))
| smndt0(sz10) != sK10 ),
inference(cnf_transformation,[],[f124]) ).
fof(f211,plain,
( ~ aElementOf0(sK10,stldt0(sbsmnsldt0(xS)))
| sz10 != sK10 ),
inference(cnf_transformation,[],[f124]) ).
fof(f214,plain,
! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f58]) ).
fof(f216,plain,
! [X2,X0] :
( ~ aInteger0(X0)
| ~ isPrime0(X2)
| ~ aDivisorOf0(X2,X0)
| smndt0(sz10) != X0 ),
inference(cnf_transformation,[],[f128]) ).
fof(f217,plain,
! [X2,X0] :
( ~ aInteger0(X0)
| ~ isPrime0(X2)
| ~ aDivisorOf0(X2,X0)
| sz10 != X0 ),
inference(cnf_transformation,[],[f128]) ).
fof(f218,plain,
! [X0] :
( ~ aInteger0(X0)
| smndt0(sz10) = X0
| sz10 = X0
| isPrime0(sK13(X0)) ),
inference(cnf_transformation,[],[f128]) ).
fof(f219,plain,
! [X0] :
( ~ aInteger0(X0)
| smndt0(sz10) = X0
| sz10 = X0
| aDivisorOf0(sK13(X0),X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f231,plain,
! [X0] :
( ~ aInteger0(X0)
| aInteger0(smndt0(X0)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f265,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz10,X0) = X0 ),
inference(cnf_transformation,[],[f95]) ).
fof(f266,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sz10) = X0 ),
inference(cnf_transformation,[],[f95]) ).
fof(f267,plain,
aInteger0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f302,plain,
( ~ aElementOf0(sK10,stldt0(sbsmnsldt0(cS2043)))
| sz10 != sK10 ),
inference(definition_unfolding,[],[f211,f174]) ).
fof(f303,plain,
( ~ aElementOf0(sK10,stldt0(sbsmnsldt0(cS2043)))
| smndt0(sz10) != sK10 ),
inference(definition_unfolding,[],[f210,f174]) ).
fof(f304,plain,
( aElementOf0(sK10,stldt0(sbsmnsldt0(cS2043)))
| smndt0(sz10) = sK10
| sz10 = sK10 ),
inference(definition_unfolding,[],[f209,f174]) ).
fof(f307,plain,
! [X1] :
( aElementOf0(X1,sbsmnsldt0(cS2043))
| ~ aInteger0(X1)
| aElementOf0(X1,stldt0(sbsmnsldt0(cS2043))) ),
inference(definition_unfolding,[],[f206,f174,f174]) ).
fof(f308,plain,
! [X1] :
( ~ aElementOf0(X1,stldt0(sbsmnsldt0(cS2043)))
| aInteger0(X1) ),
inference(definition_unfolding,[],[f205,f174]) ).
fof(f309,plain,
! [X1] :
( ~ aElementOf0(X1,stldt0(sbsmnsldt0(cS2043)))
| ~ aElementOf0(X1,sbsmnsldt0(cS2043)) ),
inference(definition_unfolding,[],[f204,f174,f174]) ).
fof(f312,plain,
! [X2] :
( ~ aElementOf0(X2,sbsmnsldt0(cS2043))
| aInteger0(X2) ),
inference(definition_unfolding,[],[f201,f174]) ).
fof(f316,plain,
! [X5] :
( ~ aInteger0(X5)
| ~ aElementOf0(X5,sbsmnsldt0(cS2043))
| sP2(X5) ),
inference(definition_unfolding,[],[f197,f174]) ).
fof(f320,plain,
! [X8,X5] :
( ~ aInteger0(X5)
| ~ isPrime0(X8)
| ~ aDivisorOf0(X8,X5)
| aElementOf0(X5,sbsmnsldt0(cS2043)) ),
inference(definition_unfolding,[],[f191,f174]) ).
fof(f325,plain,
! [X2] :
( ~ aInteger0(sz10)
| ~ isPrime0(X2)
| ~ aDivisorOf0(X2,sz10) ),
inference(equality_resolution,[],[f217]) ).
fof(f326,plain,
! [X2] :
( ~ aInteger0(smndt0(sz10))
| ~ isPrime0(X2)
| ~ aDivisorOf0(X2,smndt0(sz10)) ),
inference(equality_resolution,[],[f216]) ).
tcf(c_81,negated_conjecture,
( ~ aElementOf0(sK10,stldt0(sbsmnsldt0(cS2043)))
| ( sz10 != sK10 ) ),
inference(cnf_transformation,[],[f302]) ).
tcf(c_82,negated_conjecture,
( ~ aElementOf0(sK10,stldt0(sbsmnsldt0(cS2043)))
| ( smndt0(sz10) != sK10 ) ),
inference(cnf_transformation,[],[f303]) ).
tcf(c_83,negated_conjecture,
( aElementOf0(sK10,stldt0(sbsmnsldt0(cS2043)))
| ( sz10 = sK10 )
| ( smndt0(sz10) = sK10 ) ),
inference(cnf_transformation,[],[f304]) ).
tcf(c_86,negated_conjecture,
! [X0: $i] :
( aElementOf0(X0,sbsmnsldt0(cS2043))
| aElementOf0(X0,stldt0(sbsmnsldt0(cS2043)))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f307]) ).
tcf(c_87,negated_conjecture,
! [X0: $i] :
( aInteger0(X0)
| ~ aElementOf0(X0,stldt0(sbsmnsldt0(cS2043))) ),
inference(cnf_transformation,[],[f308]) ).
tcf(c_88,negated_conjecture,
! [X0: $i] :
( ~ aElementOf0(X0,sbsmnsldt0(cS2043))
| ~ aElementOf0(X0,stldt0(sbsmnsldt0(cS2043))) ),
inference(cnf_transformation,[],[f309]) ).
tcf(c_91,negated_conjecture,
! [X0: $i] :
( aInteger0(X0)
| ~ aElementOf0(X0,sbsmnsldt0(cS2043)) ),
inference(cnf_transformation,[],[f312]) ).
tcf(c_95,negated_conjecture,
! [X0: $i] :
( sP2(X0)
| ~ aInteger0(X0)
| ~ aElementOf0(X0,sbsmnsldt0(cS2043)) ),
inference(cnf_transformation,[],[f316]) ).
tcf(c_101,negated_conjecture,
! [X0: $i,X1: $i] :
( aElementOf0(X1,sbsmnsldt0(cS2043))
| ~ isPrime0(X0)
| ~ aInteger0(X1)
| ~ aDivisorOf0(X0,X1) ),
inference(cnf_transformation,[],[f320]) ).
tcf(c_103,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz00) = sz00 )
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f214]) ).
tcf(c_106,plain,
! [X0: $i] :
( aDivisorOf0(sK13(X0),X0)
| ( X0 = sz10 )
| ( smndt0(sz10) = X0 )
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_107,plain,
! [X0: $i] :
( isPrime0(sK13(X0))
| ( X0 = sz10 )
| ( smndt0(sz10) = X0 )
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f218]) ).
tcf(c_108,plain,
! [X0: $i] :
( ~ aInteger0(sz10)
| ~ isPrime0(X0)
| ~ aDivisorOf0(X0,sz10) ),
inference(cnf_transformation,[],[f325]) ).
tcf(c_109,plain,
! [X0: $i] :
( ~ isPrime0(X0)
| ~ aInteger0(smndt0(sz10))
| ~ aDivisorOf0(X0,smndt0(sz10)) ),
inference(cnf_transformation,[],[f326]) ).
tcf(c_121,plain,
! [X0: $i] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f231]) ).
tcf(c_155,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz10) = X0 )
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f266]) ).
tcf(c_156,plain,
! [X0: $i] :
( ( sdtasdt0(sz10,X0) = X0 )
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f265]) ).
tcf(c_157,plain,
aInteger0(sz10),
inference(cnf_transformation,[],[f267]) ).
tcf(c_282,negated_conjecture,
! [X0: $i] :
( sP2(X0)
| ~ aElementOf0(X0,sbsmnsldt0(cS2043)) ),
inference(global_subsumption_just,[status(thm)],[c_95,c_91,c_95]) ).
tcf(c_285,plain,
! [X0: $i] :
( ~ aDivisorOf0(X0,sz10)
| ~ isPrime0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_108,c_157,c_108]) ).
tcf(c_286,plain,
! [X0: $i] :
( ~ isPrime0(X0)
| ~ aDivisorOf0(X0,sz10) ),
inference(renaming,[status(thm)],[c_285]) ).
tcf(c_4501,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X2,sbsmnsldt0(cS2043))
| ( X0 = sz10 )
| ( smndt0(sz10) = X0 )
| ~ isPrime0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X0)
| ( X0 != X2 )
| ( sK13(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_101,c_106]) ).
tcf(c_4502,plain,
! [X0: $i] :
( aElementOf0(X0,sbsmnsldt0(cS2043))
| ( X0 = sz10 )
| ( smndt0(sz10) = X0 )
| ~ aInteger0(X0)
| ~ isPrime0(sK13(X0)) ),
inference(unflattening,[status(thm)],[c_4501]) ).
tcf(c_12359,plain,
( ( sz10 = sK10 )
| ( smndt0(sz10) = sK10 )
| ~ aElementOf0(sK10,sbsmnsldt0(cS2043)) ),
inference(superposition,[status(thm)],[c_83,c_88]) ).
tcf(c_12360,plain,
( aInteger0(sK10)
| ( sz10 = sK10 )
| ( smndt0(sz10) = sK10 ) ),
inference(superposition,[status(thm)],[c_83,c_87]) ).
tcf(c_12821,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(X0),sz00) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_121,c_103]) ).
tcf(c_13677,plain,
( aInteger0(smndt0(sz10))
| ~ aInteger0(sz10) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_15516,plain,
! [X0: $i] :
( ~ isPrime0(X0)
| ~ aDivisorOf0(X0,smndt0(sz10)) ),
inference(global_subsumption_just,[status(thm)],[c_109,c_157,c_109,c_13677]) ).
tcf(c_16084,plain,
( aInteger0(sK10)
| ( sz10 = sK10 )
| ( smndt0(sz10) = sK10 ) ),
inference(superposition,[status(thm)],[c_83,c_87]) ).
tcf(c_19009,plain,
( ( sz10 = sK10 )
| ( smndt0(sz10) = sK10 )
| ( sdtasdt0(smndt0(sK10),sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_12360,c_12821]) ).
tcf(c_19973,plain,
( ( sz10 = sK10 )
| ( smndt0(sz10) = sK10 )
| ( sdtasdt0(sK10,sz10) = sK10 ) ),
inference(superposition,[status(thm)],[c_16084,c_155]) ).
tcf(c_20240,plain,
( ( sz10 = sK10 )
| ( smndt0(sz10) = sK10 )
| ( sdtasdt0(sz10,sK10) = sK10 ) ),
inference(superposition,[status(thm)],[c_16084,c_156]) ).
tcf(c_20525,plain,
! [X0: $i] :
( aElementOf0(X0,sbsmnsldt0(cS2043))
| ( X0 = sz10 )
| ( smndt0(sz10) = X0 )
| ~ aInteger0(X0)
| ~ isPrime0(sK13(X0)) ),
inference(superposition,[status(thm)],[c_106,c_101]) ).
tcf(c_25104,plain,
! [X0: $i] :
( aElementOf0(X0,sbsmnsldt0(cS2043))
| ( X0 = sz10 )
| ( smndt0(sz10) = X0 )
| ~ aInteger0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_20525,c_107,c_4502]) ).
tcf(c_25123,plain,
( ( sz10 = sK10 )
| ( smndt0(sz10) = sK10 )
| ~ aInteger0(sK10) ),
inference(superposition,[status(thm)],[c_25104,c_12359]) ).
tcf(c_28130,plain,
( ( sz10 = sK10 )
| ( smndt0(sz10) = sK10 ) ),
inference(global_subsumption_just,[status(thm)],[c_19973,c_12360,c_25123]) ).
tcf(c_28138,plain,
( ( sz10 = sK10 )
| ~ aElementOf0(sK10,stldt0(sbsmnsldt0(cS2043))) ),
inference(superposition,[status(thm)],[c_28130,c_82]) ).
tcf(c_28139,plain,
( aInteger0(sK10)
| ( sz10 = sK10 )
| ~ aInteger0(sz10) ),
inference(superposition,[status(thm)],[c_28130,c_121]) ).
tcf(c_28140,plain,
( aInteger0(sK10)
| ( sz10 = sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28139,c_157]) ).
tcf(c_29635,plain,
~ aElementOf0(sK10,stldt0(sbsmnsldt0(cS2043))),
inference(global_subsumption_just,[status(thm)],[c_28138,c_81,c_28138]) ).
tcf(c_29637,plain,
( aElementOf0(sK10,sbsmnsldt0(cS2043))
| ~ aInteger0(sK10) ),
inference(superposition,[status(thm)],[c_86,c_29635]) ).
tcf(c_29646,plain,
( sP2(sK10)
| ~ aInteger0(sK10) ),
inference(superposition,[status(thm)],[c_29637,c_282]) ).
tcf(c_29681,plain,
( sP2(sK10)
| ( sz10 = sK10 ) ),
inference(superposition,[status(thm)],[c_28140,c_29646]) ).
tcf(c_30235,plain,
( ( sz10 = sK10 )
| ( smndt0(sz10) = sK10 ) ),
inference(global_subsumption_just,[status(thm)],[c_19009,c_12360,c_25123]) ).
fof(f105,definition,
! [X0] :
( ~ sP2(X0)
| ? [X2] :
( isPrime0(X2)
& aDivisorOf0(X2,X0)
& ? [X3] :
( sdtasdt0(X2,X3) = X0
& aInteger0(X3) )
& sz00 != X2
& aInteger0(X2) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f106,plain,
( ! [X0] :
( ~ aInteger0(X0)
| ( ( ! [X4] :
( ~ isPrime0(X4)
| ( ~ aDivisorOf0(X4,X0)
& ( ! [X5] :
( sdtasdt0(X4,X5) != X0
| ~ aInteger0(X5) )
| sz00 = X4
| ~ aInteger0(X4) ) ) )
| ( aElementOf0(X0,sbsmnsldt0(xS))
& ? [X6] :
( aElementOf0(X0,X6)
& aElementOf0(X6,xS) ) ) )
& ( ( ~ aElementOf0(X0,sbsmnsldt0(xS))
& ! [X1] :
( ~ aElementOf0(X0,X1)
| ~ aElementOf0(X1,xS) ) )
| sP2(X0) ) ) )
& ! [X7] :
( aElementOf0(X7,sbsmnsldt0(xS))
<=> ( ? [X8] :
( aElementOf0(X7,X8)
& aElementOf0(X8,xS) )
& aInteger0(X7) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X9] :
( aElementOf0(X9,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X9,sbsmnsldt0(xS))
& aInteger0(X9) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& stldt0(sbsmnsldt0(xS)) != cS2076
& ? [X10] :
( aElementOf0(X10,stldt0(sbsmnsldt0(xS)))
<~> ( smndt0(sz10) = X10
| sz10 = X10 ) ) ),
inference(definition_folding,[],[f55,f105]) ).
fof(f118,plain,
! [X0] :
( ~ sP2(X0)
| ? [X2] :
( isPrime0(X2)
& aDivisorOf0(X2,X0)
& ? [X3] :
( sdtasdt0(X2,X3) = X0
& aInteger0(X3) )
& sz00 != X2
& aInteger0(X2) ) ),
inference(nnf_transformation,[],[f105]) ).
fof(f119,plain,
! [X0] :
( ~ sP2(X0)
| ? [X1] :
( isPrime0(X1)
& aDivisorOf0(X1,X0)
& ? [X2] :
( sdtasdt0(X1,X2) = X0
& aInteger0(X2) )
& sz00 != X1
& aInteger0(X1) ) ),
inference(rectify,[],[f118]) ).
fof(f120,plain,
! [X0] :
( ~ sP2(X0)
| ( isPrime0(sK8(X0))
& aDivisorOf0(sK8(X0),X0)
& sdtasdt0(sK8(X0),sK9(X0)) = X0
& aInteger0(sK9(X0))
& sz00 != sK8(X0)
& aInteger0(sK8(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9]),skolemize(X1,sK8(X0)),skolemize(X2,sK9(X0))],[f119]) ).
fof(f185,plain,
! [X0] :
( ~ sP2(X0)
| isPrime0(sK8(X0)) ),
inference(cnf_transformation,[],[f120]) ).
fof(f186,plain,
! [X0] :
( ~ sP2(X0)
| aDivisorOf0(sK8(X0),X0) ),
inference(cnf_transformation,[],[f120]) ).
tcf(c_79,plain,
! [X0: $i] :
( aDivisorOf0(sK8(X0),X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_80,plain,
! [X0: $i] :
( isPrime0(sK8(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f185]) ).
tcf(c_4394,plain,
! [X0: $i,X1: $i] :
( ~ sP2(X0)
| ~ isPrime0(X1)
| ( X0 != sz10 )
| ( sK8(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_79,c_286]) ).
tcf(c_4395,plain,
( ~ sP2(sz10)
| ~ isPrime0(sK8(sz10)) ),
inference(unflattening,[status(thm)],[c_4394]) ).
tcf(c_4400,plain,
~ sP2(sz10),
inference(forward_subsumption_resolution,[status(thm)],[c_4395,c_80]) ).
tcf(c_4402,plain,
! [X0: $i,X1: $i] :
( ~ sP2(X0)
| ~ isPrime0(X1)
| ~ aInteger0(smndt0(sz10))
| ( smndt0(sz10) != X0 )
| ( sK8(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_79,c_109]) ).
tcf(c_4403,plain,
( ~ sP2(smndt0(sz10))
| ~ aInteger0(smndt0(sz10))
| ~ isPrime0(sK8(smndt0(sz10))) ),
inference(unflattening,[status(thm)],[c_4402]) ).
tcf(c_4410,plain,
( ~ sP2(smndt0(sz10))
| ~ aInteger0(smndt0(sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4403,c_80]) ).
tcf(c_15523,plain,
( ~ sP2(smndt0(sz10))
| ~ isPrime0(sK8(smndt0(sz10))) ),
inference(superposition,[status(thm)],[c_79,c_15516]) ).
tcf(c_17672,plain,
( ~ sP2(sz10)
| ~ isPrime0(sK8(sz10)) ),
inference(superposition,[status(thm)],[c_79,c_286]) ).
tcf(c_18130,plain,
~ sP2(smndt0(sz10)),
inference(global_subsumption_just,[status(thm)],[c_15523,c_157,c_4410,c_13677]) ).
tcf(c_24569,plain,
~ sP2(sz10),
inference(global_subsumption_just,[status(thm)],[c_17672,c_4400]) ).
tcf(c_30243,plain,
( ( sz10 = sK10 )
| ~ sP2(sK10) ),
inference(superposition,[status(thm)],[c_30235,c_18130]) ).
tcf(c_30485,plain,
sz10 = sK10,
inference(global_subsumption_just,[status(thm)],[c_20240,c_29681,c_30243]) ).
tcf(c_30490,plain,
( sP2(sz10)
| ~ aInteger0(sz10) ),
inference(demodulation,[status(thm)],[c_29646,c_30485]) ).
tcf(c_30494,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_30490,c_24569,c_157]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM448+5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.43 % Computer : n008.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Thu Sep 24 04:02:39 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.49 Running first-order theorem proving
% 0.17/0.49 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.51
% 0.17/0.51 % ======== iProver multi-core TPTP/SMT =========
% 0.17/0.51
% 0.17/0.51 % Detected problem language: tptp
% 0.26/0.53 % Proving...
% 16.26/3.32 % SZS status Started for theBenchmark.p
% 16.26/3.32 % SZS status Theorem for theBenchmark.p
% 16.26/3.32
% 16.26/3.32 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 16.26/3.32
% 16.26/3.32 % ------ iProver source info
% 16.26/3.32
% 16.26/3.32 % git: date: 2026-07-19 20:42:38 +0200
% 16.26/3.32 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 16.26/3.32 % git: non_committed_changes: false
% 16.26/3.32
% 16.26/3.32 % ------ Parsing...
% 16.26/3.32 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 16.26/3.32
% 16.26/3.32 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e %
% 16.26/3.32
% 16.26/3.32 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 16.26/3.32
% 16.26/3.32 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 16.26/3.32 % ------ Proving...
% 16.26/3.32 % ------ Problem Properties
% 16.26/3.32
% 16.26/3.32 %
% 16.26/3.32 % clauses 133
% 16.26/3.32 % conjectures 18
% 16.26/3.32 % EPR 19
% 16.26/3.32 % Horn 91
% 16.26/3.32 % unary 6
% 16.26/3.32 % binary 38
% 16.26/3.32 % lits 455
% 16.26/3.32 % lits eq 71
% 16.26/3.32 % fd_pure 0
% 16.26/3.32 % fd_pseudo 0
% 16.26/3.32 % fd_cond 24
% 16.26/3.32 % fd_pseudo_cond 7
% 16.26/3.32 % AC symbols 0
% 16.26/3.32
% 16.26/3.32 % ------ Schedule dynamic 5 is on
% 16.26/3.32
% 16.26/3.32 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 16.26/3.32
% 16.26/3.32
% 16.26/3.32 % ------
% 16.26/3.32 % Current options:
% 16.26/3.32 % ------
% 16.26/3.32
% 16.26/3.32
% 16.26/3.32 %
% 16.26/3.32
% 16.26/3.32 % ------ Proving...
% 16.26/3.32 %
% 16.26/3.32
% 16.26/3.32 % SZS status Theorem for theBenchmark.p
% 16.26/3.32
% 16.26/3.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 16.26/3.33
%------------------------------------------------------------------------------