%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM450+6 : 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 : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:24:30 PM UTC 2026
% Result : Theorem 4.69s 1.76s
% Output : CNFRefutation 4.69s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f134ERROR: Could not build tree for root c_20352ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f43,axiom,
( stldt0(sbsmnsldt0(xS)) = cS2076
& ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
<=> ( X0 = smndt0(sz10)
| X0 = sz10 ) )
& ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X0,sbsmnsldt0(xS))
& aInteger0(X0) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X0] :
( aElementOf0(X0,sbsmnsldt0(xS))
<=> ( ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) )
& aInteger0(X0) ) )
& aSet0(sbsmnsldt0(xS)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2079) ).
fof(f55,plain,
( stldt0(sbsmnsldt0(xS)) = cS2076
& ! [X3] :
( aElementOf0(X3,stldt0(sbsmnsldt0(xS)))
<=> ( smndt0(sz10) = X3
| sz10 = X3 ) )
& ! [X2] :
( aElementOf0(X2,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X2,sbsmnsldt0(xS))
& aInteger0(X2) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X0] :
( aElementOf0(X0,sbsmnsldt0(xS))
<=> ( ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) )
& aInteger0(X0) ) )
& aSet0(sbsmnsldt0(xS)) ),
inference(rectify,[],[f43]) ).
fof(f191,plain,
( xS = cS2043
& ! [X0] :
( ( ! [X2] :
( ( sP6(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
& sP7(X1)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
& isPrime0(X1)
& X1 != sz00
& aInteger0(X1) ) ) )
& aSet0(xS) ),
inference(rectify,[],[f131]) ).
fof(f192,plain,
( xS = cS2043
& ! [X0] :
( ( ! [X2] :
( ( sP6(X2)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X2))
& szAzrzSzezqlpdtcmdtrp0(sz00,X2) != X0 )
| ~ isPrime0(X2)
| sz00 = X2
| ~ aInteger0(X2) )
| aElementOf0(X0,xS) )
& ( ~ aElementOf0(X0,xS)
| ( szAzrzSzezqlpdtcmdtrp0(sz00,sK30(X0)) = X0
& sP7(sK30(X0))
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,sK30(X0)))
& isPrime0(sK30(X0))
& sz00 != sK30(X0)
& aInteger0(sK30(X0)) ) ) )
& aSet0(xS) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK30]),skolemize(X1,sK30(X0))],[f191]) ).
fof(f193,plain,
( stldt0(sbsmnsldt0(xS)) = cS2076
& ! [X3] :
( ( ~ aElementOf0(X3,stldt0(sbsmnsldt0(xS)))
| smndt0(sz10) = X3
| sz10 = X3 )
& ( ( smndt0(sz10) != X3
& sz10 != X3 )
| 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))) ) )
& aSet0(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,[],[f55]) ).
fof(f194,plain,
( stldt0(sbsmnsldt0(xS)) = cS2076
& ! [X3] :
( ( ~ aElementOf0(X3,stldt0(sbsmnsldt0(xS)))
| smndt0(sz10) = X3
| sz10 = X3 )
& ( ( smndt0(sz10) != X3
& sz10 != X3 )
| 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))) ) )
& aSet0(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,[],[f193]) ).
fof(f195,plain,
( stldt0(sbsmnsldt0(xS)) = cS2076
& ! [X4] :
( ( ~ aElementOf0(X4,stldt0(sbsmnsldt0(xS)))
| smndt0(sz10) = X4
| sz10 = X4 )
& ( ( smndt0(sz10) != X4
& sz10 != X4 )
| aElementOf0(X4,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))) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X0] :
( ( ~ aElementOf0(X0,sbsmnsldt0(xS))
| ( ? [X2] :
( aElementOf0(X0,X2)
& aElementOf0(X2,xS) )
& aInteger0(X0) ) )
& ( ! [X1] :
( ~ aElementOf0(X0,X1)
| ~ aElementOf0(X1,xS) )
| ~ aInteger0(X0)
| aElementOf0(X0,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS)) ),
inference(rectify,[],[f194]) ).
fof(f196,plain,
( stldt0(sbsmnsldt0(xS)) = cS2076
& ! [X4] :
( ( ~ aElementOf0(X4,stldt0(sbsmnsldt0(xS)))
| smndt0(sz10) = X4
| sz10 = X4 )
& ( ( smndt0(sz10) != X4
& sz10 != X4 )
| aElementOf0(X4,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))) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X0] :
( ( ~ aElementOf0(X0,sbsmnsldt0(xS))
| ( aElementOf0(X0,sK31(X0))
& aElementOf0(sK31(X0),xS)
& aInteger0(X0) ) )
& ( ! [X1] :
( ~ aElementOf0(X0,X1)
| ~ aElementOf0(X1,xS) )
| ~ aInteger0(X0)
| aElementOf0(X0,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31]),skolemize(X2,sK31(X0))],[f195]) ).
fof(f203,plain,
( ! [X12] :
( ~ aElementOf0(X12,stldt0(sbsmnsldt0(xS)))
| ? [X13] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X12,X13),stldt0(sbsmnsldt0(xS)))
& ! [X17] :
( ~ aElementOf0(X17,szAzrzSzezqlpdtcmdtrp0(X12,X13))
| aElementOf0(X17,stldt0(sbsmnsldt0(xS))) )
& sP8(X12,X13)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X12,X13))
& sz00 != X13
& aInteger0(X13) ) )
& ! [X11] :
( ( ~ aElementOf0(X11,stldt0(sbsmnsldt0(xS)))
| ( ~ aElementOf0(X11,sbsmnsldt0(xS))
& aInteger0(X11) ) )
& ( aElementOf0(X11,sbsmnsldt0(xS))
| ~ aInteger0(X11)
| aElementOf0(X11,stldt0(sbsmnsldt0(xS))) ) )
& ! [X9] :
( ( ~ aElementOf0(X9,sbsmnsldt0(xS))
| ( ? [X10] :
( aElementOf0(X9,X10)
& aElementOf0(X10,xS) )
& aInteger0(X9) ) )
& ( ! [X10] :
( ~ aElementOf0(X9,X10)
| ~ aElementOf0(X10,xS) )
| ~ aInteger0(X9)
| aElementOf0(X9,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS))
& isClosed0(sbsmnsldt0(xS))
& isOpen0(stldt0(sbsmnsldt0(xS)))
& ! [X3] :
( ~ aElementOf0(X3,stldt0(sbsmnsldt0(xS)))
| ? [X4] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X3,X4),stldt0(sbsmnsldt0(xS)))
& ! [X8] :
( ~ aElementOf0(X8,szAzrzSzezqlpdtcmdtrp0(X3,X4))
| aElementOf0(X8,stldt0(sbsmnsldt0(xS))) )
& sP9(X3,X4)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X3,X4))
& sz00 != X4
& aInteger0(X4) ) )
& ! [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,[],[f134]) ).
fof(f204,plain,
( ! [X12] :
( ~ aElementOf0(X12,stldt0(sbsmnsldt0(xS)))
| ? [X13] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X12,X13),stldt0(sbsmnsldt0(xS)))
& ! [X17] :
( ~ aElementOf0(X17,szAzrzSzezqlpdtcmdtrp0(X12,X13))
| aElementOf0(X17,stldt0(sbsmnsldt0(xS))) )
& sP8(X12,X13)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X12,X13))
& sz00 != X13
& aInteger0(X13) ) )
& ! [X11] :
( ( ~ aElementOf0(X11,stldt0(sbsmnsldt0(xS)))
| ( ~ aElementOf0(X11,sbsmnsldt0(xS))
& aInteger0(X11) ) )
& ( aElementOf0(X11,sbsmnsldt0(xS))
| ~ aInteger0(X11)
| aElementOf0(X11,stldt0(sbsmnsldt0(xS))) ) )
& ! [X9] :
( ( ~ aElementOf0(X9,sbsmnsldt0(xS))
| ( ? [X10] :
( aElementOf0(X9,X10)
& aElementOf0(X10,xS) )
& aInteger0(X9) ) )
& ( ! [X10] :
( ~ aElementOf0(X9,X10)
| ~ aElementOf0(X10,xS) )
| ~ aInteger0(X9)
| aElementOf0(X9,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS))
& isClosed0(sbsmnsldt0(xS))
& isOpen0(stldt0(sbsmnsldt0(xS)))
& ! [X3] :
( ~ aElementOf0(X3,stldt0(sbsmnsldt0(xS)))
| ? [X4] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X3,X4),stldt0(sbsmnsldt0(xS)))
& ! [X8] :
( ~ aElementOf0(X8,szAzrzSzezqlpdtcmdtrp0(X3,X4))
| aElementOf0(X8,stldt0(sbsmnsldt0(xS))) )
& sP9(X3,X4)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X3,X4))
& sz00 != X4
& aInteger0(X4) ) )
& ! [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,[],[f203]) ).
fof(f205,plain,
( ! [X11] :
( ~ aElementOf0(X11,stldt0(sbsmnsldt0(xS)))
| ? [X12] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X11,X12),stldt0(sbsmnsldt0(xS)))
& ! [X13] :
( ~ aElementOf0(X13,szAzrzSzezqlpdtcmdtrp0(X11,X12))
| aElementOf0(X13,stldt0(sbsmnsldt0(xS))) )
& sP8(X11,X12)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X11,X12))
& sz00 != X12
& aInteger0(X12) ) )
& ! [X10] :
( ( ~ aElementOf0(X10,stldt0(sbsmnsldt0(xS)))
| ( ~ aElementOf0(X10,sbsmnsldt0(xS))
& aInteger0(X10) ) )
& ( aElementOf0(X10,sbsmnsldt0(xS))
| ~ aInteger0(X10)
| aElementOf0(X10,stldt0(sbsmnsldt0(xS))) ) )
& ! [X7] :
( ( ~ aElementOf0(X7,sbsmnsldt0(xS))
| ( ? [X9] :
( aElementOf0(X7,X9)
& aElementOf0(X9,xS) )
& aInteger0(X7) ) )
& ( ! [X8] :
( ~ aElementOf0(X7,X8)
| ~ aElementOf0(X8,xS) )
| ~ aInteger0(X7)
| aElementOf0(X7,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS))
& isClosed0(sbsmnsldt0(xS))
& isOpen0(stldt0(sbsmnsldt0(xS)))
& ! [X4] :
( ~ aElementOf0(X4,stldt0(sbsmnsldt0(xS)))
| ? [X5] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X4,X5),stldt0(sbsmnsldt0(xS)))
& ! [X6] :
( ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(X4,X5))
| aElementOf0(X6,stldt0(sbsmnsldt0(xS))) )
& sP9(X4,X5)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X4,X5))
& sz00 != X5
& aInteger0(X5) ) )
& ! [X3] :
( ( ~ aElementOf0(X3,stldt0(sbsmnsldt0(xS)))
| ( ~ aElementOf0(X3,sbsmnsldt0(xS))
& aInteger0(X3) ) )
& ( aElementOf0(X3,sbsmnsldt0(xS))
| ~ aInteger0(X3)
| aElementOf0(X3,stldt0(sbsmnsldt0(xS))) ) )
& ! [X0] :
( ( ~ aElementOf0(X0,sbsmnsldt0(xS))
| ( ? [X2] :
( aElementOf0(X0,X2)
& aElementOf0(X2,xS) )
& aInteger0(X0) ) )
& ( ! [X1] :
( ~ aElementOf0(X0,X1)
| ~ aElementOf0(X1,xS) )
| ~ aInteger0(X0)
| aElementOf0(X0,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS)) ),
inference(rectify,[],[f204]) ).
fof(f206,plain,
( ! [X11] :
( ~ aElementOf0(X11,stldt0(sbsmnsldt0(xS)))
| ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X11,sK37(X11)),stldt0(sbsmnsldt0(xS)))
& ! [X13] :
( ~ aElementOf0(X13,szAzrzSzezqlpdtcmdtrp0(X11,sK37(X11)))
| aElementOf0(X13,stldt0(sbsmnsldt0(xS))) )
& sP8(X11,sK37(X11))
& aSet0(szAzrzSzezqlpdtcmdtrp0(X11,sK37(X11)))
& sz00 != sK37(X11)
& aInteger0(sK37(X11)) ) )
& ! [X10] :
( ( ~ aElementOf0(X10,stldt0(sbsmnsldt0(xS)))
| ( ~ aElementOf0(X10,sbsmnsldt0(xS))
& aInteger0(X10) ) )
& ( aElementOf0(X10,sbsmnsldt0(xS))
| ~ aInteger0(X10)
| aElementOf0(X10,stldt0(sbsmnsldt0(xS))) ) )
& ! [X7] :
( ( ~ aElementOf0(X7,sbsmnsldt0(xS))
| ( aElementOf0(X7,sK36(X7))
& aElementOf0(sK36(X7),xS)
& aInteger0(X7) ) )
& ( ! [X8] :
( ~ aElementOf0(X7,X8)
| ~ aElementOf0(X8,xS) )
| ~ aInteger0(X7)
| aElementOf0(X7,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS))
& isClosed0(sbsmnsldt0(xS))
& isOpen0(stldt0(sbsmnsldt0(xS)))
& ! [X4] :
( ~ aElementOf0(X4,stldt0(sbsmnsldt0(xS)))
| ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X4,sK35(X4)),stldt0(sbsmnsldt0(xS)))
& ! [X6] :
( ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(X4,sK35(X4)))
| aElementOf0(X6,stldt0(sbsmnsldt0(xS))) )
& sP9(X4,sK35(X4))
& aSet0(szAzrzSzezqlpdtcmdtrp0(X4,sK35(X4)))
& sz00 != sK35(X4)
& aInteger0(sK35(X4)) ) )
& ! [X3] :
( ( ~ aElementOf0(X3,stldt0(sbsmnsldt0(xS)))
| ( ~ aElementOf0(X3,sbsmnsldt0(xS))
& aInteger0(X3) ) )
& ( aElementOf0(X3,sbsmnsldt0(xS))
| ~ aInteger0(X3)
| aElementOf0(X3,stldt0(sbsmnsldt0(xS))) ) )
& ! [X0] :
( ( ~ aElementOf0(X0,sbsmnsldt0(xS))
| ( aElementOf0(X0,sK34(X0))
& aElementOf0(sK34(X0),xS)
& aInteger0(X0) ) )
& ( ! [X1] :
( ~ aElementOf0(X0,X1)
| ~ aElementOf0(X1,xS) )
| ~ aInteger0(X0)
| aElementOf0(X0,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK34,sK35,sK36,sK37]),skolemize(X2,sK34(X0)),skolemize(X5,sK35(X4)),skolemize(X9,sK36(X7)),skolemize(X12,sK37(X11))],[f205]) ).
fof(f216,plain,
! [X0] :
( ( sP10(X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,X0))
& sP11
& aSet0(sbsmnsldt0(xS))
& sP12
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X0),stldt0(sbsmnsldt0(xS)))
& ? [X1] :
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,X0))
& ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ) )
| sz00 = X0
| ~ aInteger0(X0) ),
inference(rectify,[],[f138]) ).
fof(f217,plain,
! [X0] :
( ( sP10(X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,X0))
& sP11
& aSet0(sbsmnsldt0(xS))
& sP12
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X0),stldt0(sbsmnsldt0(xS)))
& aElementOf0(sK40(X0),szAzrzSzezqlpdtcmdtrp0(sz10,X0))
& ~ aElementOf0(sK40(X0),stldt0(sbsmnsldt0(xS))) )
| sz00 = X0
| ~ aInteger0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK40]),skolemize(X1,sK40(X0))],[f216]) ).
fof(f342,plain,
xS = cS2043,
inference(cnf_transformation,[],[f192]) ).
fof(f353,plain,
stldt0(sbsmnsldt0(xS)) = cS2076,
inference(cnf_transformation,[],[f196]) ).
fof(f356,plain,
! [X4] :
( sz10 != X4
| aElementOf0(X4,stldt0(sbsmnsldt0(xS))) ),
inference(cnf_transformation,[],[f196]) ).
fof(f383,plain,
! [X11] :
( ~ aElementOf0(X11,stldt0(sbsmnsldt0(xS)))
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X11,sK37(X11)),stldt0(sbsmnsldt0(xS))) ),
inference(cnf_transformation,[],[f206]) ).
fof(f387,plain,
! [X11] :
( ~ aElementOf0(X11,stldt0(sbsmnsldt0(xS)))
| sz00 != sK37(X11) ),
inference(cnf_transformation,[],[f206]) ).
fof(f388,plain,
! [X11] :
( ~ aElementOf0(X11,stldt0(sbsmnsldt0(xS)))
| aInteger0(sK37(X11)) ),
inference(cnf_transformation,[],[f206]) ).
fof(f433,plain,
! [X0] :
( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X0),stldt0(sbsmnsldt0(xS)))
| sz00 = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f217]) ).
fof(f455,plain,
! [X4] :
( sz10 != X4
| aElementOf0(X4,stldt0(sbsmnsldt0(cS2043))) ),
inference(definition_unfolding,[],[f356,f342]) ).
fof(f458,plain,
cS2076 = stldt0(sbsmnsldt0(cS2043)),
inference(definition_unfolding,[],[f353,f342]) ).
fof(f484,plain,
! [X11] :
( ~ aElementOf0(X11,stldt0(sbsmnsldt0(cS2043)))
| aInteger0(sK37(X11)) ),
inference(definition_unfolding,[],[f388,f342]) ).
fof(f485,plain,
! [X11] :
( ~ aElementOf0(X11,stldt0(sbsmnsldt0(cS2043)))
| sz00 != sK37(X11) ),
inference(definition_unfolding,[],[f387,f342]) ).
fof(f489,plain,
! [X11] :
( ~ aElementOf0(X11,stldt0(sbsmnsldt0(cS2043)))
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X11,sK37(X11)),stldt0(sbsmnsldt0(cS2043))) ),
inference(definition_unfolding,[],[f383,f342,f342]) ).
fof(f498,plain,
! [X0] :
( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X0),stldt0(sbsmnsldt0(cS2043)))
| sz00 = X0
| ~ aInteger0(X0) ),
inference(definition_unfolding,[],[f433,f342]) ).
fof(f516,plain,
aElementOf0(sz10,stldt0(sbsmnsldt0(cS2043))),
inference(equality_resolution,[],[f455]) ).
tcf(c_192,plain,
aElementOf0(sz10,stldt0(sbsmnsldt0(cS2043))),
inference(cnf_transformation,[],[f516]) ).
tcf(c_195,plain,
stldt0(sbsmnsldt0(cS2043)) = cS2076,
inference(cnf_transformation,[],[f458]) ).
tcf(c_237,plain,
! [X0: $i] :
( aInteger0(sK37(X0))
| ~ aElementOf0(X0,stldt0(sbsmnsldt0(cS2043))) ),
inference(cnf_transformation,[],[f484]) ).
tcf(c_238,plain,
! [X0: $i] :
( ~ aElementOf0(X0,stldt0(sbsmnsldt0(cS2043)))
| ( sK37(X0) != sz00 ) ),
inference(cnf_transformation,[],[f485]) ).
tcf(c_242,plain,
! [X0: $i] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,sK37(X0)),stldt0(sbsmnsldt0(cS2043)))
| ~ aElementOf0(X0,stldt0(sbsmnsldt0(cS2043))) ),
inference(cnf_transformation,[],[f489]) ).
tcf(c_260,negated_conjecture,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aInteger0(X0)
| ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X0),stldt0(sbsmnsldt0(cS2043))) ),
inference(cnf_transformation,[],[f498]) ).
tcf(c_1771,plain,
aElementOf0(sz10,cS2076),
inference(demodulation,[status(thm)],[c_192,c_195]) ).
tcf(c_1846,plain,
! [X0: $i] :
( aInteger0(sK37(X0))
| ~ aElementOf0(X0,cS2076) ),
inference(light_normalisation,[status(thm)],[c_237,c_195]) ).
tcf(c_2117,plain,
! [X0: $i] :
( ~ aElementOf0(X0,cS2076)
| ( sK37(X0) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_238,c_195]) ).
tcf(c_2255,plain,
! [X0: $i] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,sK37(X0)),cS2076)
| ~ aElementOf0(X0,cS2076) ),
inference(light_normalisation,[status(thm)],[c_242,c_195]) ).
tcf(c_2349,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aInteger0(X0)
| ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X0),cS2076) ),
inference(light_normalisation,[status(thm)],[c_260,c_195]) ).
tcf(c_15470,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aInteger0(X0)
| ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X0),cS2076) ),
inference(demodulation,[status(thm)],[c_2349]) ).
tcf(c_18740,plain,
aInteger0(sK37(sz10)),
inference(superposition,[status(thm)],[c_1771,c_1846]) ).
tcf(c_19753,plain,
( ~ aElementOf0(sz10,cS2076)
| ( sK37(sz10) != sz00 ) ),
inference(instantiation,[status(thm)],[c_2117]) ).
tcf(c_20344,plain,
( ( sK37(sz10) = sz00 )
| ~ aElementOf0(sz10,cS2076)
| ~ aInteger0(sK37(sz10)) ),
inference(superposition,[status(thm)],[c_2255,c_15470]) ).
tcf(c_20346,plain,
sK37(sz10) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_20344,c_1771,c_18740]) ).
tcf(c_20352,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_20346,c_19753,c_1771]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM450+6 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n002.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 04:05:20 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.43
% 0.11/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.45 % Proving...
% 4.69/1.76 % SZS status Started for theBenchmark.p
% 4.69/1.76 % SZS status Theorem for theBenchmark.p
% 4.69/1.76
% 4.69/1.76 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.69/1.76
% 4.69/1.76 % ------ iProver source info
% 4.69/1.76
% 4.69/1.76 % git: date: 2026-07-19 20:42:38 +0200
% 4.69/1.76 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.69/1.76 % git: non_committed_changes: false
% 4.69/1.76
% 4.69/1.76 % ------ Parsing...
% 4.69/1.76 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.69/1.76
% 4.69/1.76 % ------ Preprocessing... sup_sim: 22 sf_s rm: 2 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 5 0s sf_e pe_s pe_e %
% 4.69/1.76
% 4.69/1.76 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.69/1.76
% 4.69/1.76 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.69/1.76 % ------ Proving...
% 4.69/1.76 % ------ Problem Properties
% 4.69/1.76
% 4.69/1.76 %
% 4.69/1.76 % clauses 193
% 4.69/1.76 % conjectures 4
% 4.69/1.76 % EPR 34
% 4.69/1.76 % Horn 144
% 4.69/1.76 % unary 10
% 4.69/1.76 % binary 43
% 4.69/1.76 % lits 648
% 4.69/1.76 % lits eq 80
% 4.69/1.76 % fd_pure 0
% 4.69/1.76 % fd_pseudo 0
% 4.69/1.76 % fd_cond 28
% 4.69/1.76 % fd_pseudo_cond 9
% 4.69/1.76 % AC symbols 0
% 4.69/1.76
% 4.69/1.76 % ------ Schedule dynamic 5 is on
% 4.69/1.76
% 4.69/1.76 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.69/1.76
% 4.69/1.76
% 4.69/1.76 % ------
% 4.69/1.76 % Current options:
% 4.69/1.76 % ------
% 4.69/1.76
% 4.69/1.76
% 4.69/1.76 %
% 4.69/1.76
% 4.69/1.76 % ------ Proving...
% 4.69/1.76 %
% 4.69/1.76
% 4.69/1.76 % SZS status Theorem for theBenchmark.p
% 4.69/1.76
% 4.69/1.76 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.69/1.76
% 4.69/1.76
%------------------------------------------------------------------------------