%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM440+6 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n026.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 02:24:28 PM UTC 2026
% Result : Theorem 8.05s 6.73s
% Output : CNFRefutation 8.05s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f115ERROR: Could not build tree for root c_18608ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f40,conjecture,
( ( ( ! [X0] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
<=> ( ( aElementOf0(X0,xB)
| aElementOf0(X0,xA) )
& aInteger0(X0) ) )
& aSet0(sdtbsmnsldt0(xA,xB)) )
=> ( ( ! [X0] :
( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB))
& aInteger0(X0) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB))) )
=> ( ! [X0] :
( aElementOf0(X0,stldt0(xA))
<=> ( ~ aElementOf0(X0,xA)
& aInteger0(X0) ) )
=> ( ! [X0] :
( aElementOf0(X0,stldt0(xB))
<=> ( ~ aElementOf0(X0,xB)
& aInteger0(X0) ) )
=> ( stldt0(sdtbsmnsldt0(xA,xB)) = sdtslmnbsdt0(stldt0(xA),stldt0(xB))
| ! [X0] :
( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( aElementOf0(X0,stldt0(xB))
& aElementOf0(X0,stldt0(xA))
& aInteger0(X0) ) ) ) ) ) ) )
& ( ( ! [X0] :
( aElementOf0(X0,stldt0(xB))
<=> ( ~ aElementOf0(X0,xB)
& aInteger0(X0) ) )
& aSet0(stldt0(xB)) )
=> ( ( ! [X0] :
( aElementOf0(X0,cS1395)
<=> aInteger0(X0) )
& aSet0(cS1395) )
=> ( aSubsetOf0(stldt0(xB),cS1395)
| ! [X0] :
( aElementOf0(X0,stldt0(xB))
=> aElementOf0(X0,cS1395) ) ) ) )
& ( ( ! [X0] :
( aElementOf0(X0,stldt0(xA))
<=> ( ~ aElementOf0(X0,xA)
& aInteger0(X0) ) )
& aSet0(stldt0(xA)) )
=> ( ( ! [X0] :
( aElementOf0(X0,cS1395)
<=> aInteger0(X0) )
& aSet0(cS1395) )
=> ( aSubsetOf0(stldt0(xA),cS1395)
| ! [X0] :
( aElementOf0(X0,stldt0(xA))
=> aElementOf0(X0,cS1395) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f41,negated_conjecture,
~ ( ( ( ! [X0] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
<=> ( ( aElementOf0(X0,xB)
| aElementOf0(X0,xA) )
& aInteger0(X0) ) )
& aSet0(sdtbsmnsldt0(xA,xB)) )
=> ( ( ! [X0] :
( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB))
& aInteger0(X0) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB))) )
=> ( ! [X0] :
( aElementOf0(X0,stldt0(xA))
<=> ( ~ aElementOf0(X0,xA)
& aInteger0(X0) ) )
=> ( ! [X0] :
( aElementOf0(X0,stldt0(xB))
<=> ( ~ aElementOf0(X0,xB)
& aInteger0(X0) ) )
=> ( stldt0(sdtbsmnsldt0(xA,xB)) = sdtslmnbsdt0(stldt0(xA),stldt0(xB))
| ! [X0] :
( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( aElementOf0(X0,stldt0(xB))
& aElementOf0(X0,stldt0(xA))
& aInteger0(X0) ) ) ) ) ) ) )
& ( ( ! [X0] :
( aElementOf0(X0,stldt0(xB))
<=> ( ~ aElementOf0(X0,xB)
& aInteger0(X0) ) )
& aSet0(stldt0(xB)) )
=> ( ( ! [X0] :
( aElementOf0(X0,cS1395)
<=> aInteger0(X0) )
& aSet0(cS1395) )
=> ( aSubsetOf0(stldt0(xB),cS1395)
| ! [X0] :
( aElementOf0(X0,stldt0(xB))
=> aElementOf0(X0,cS1395) ) ) ) )
& ( ( ! [X0] :
( aElementOf0(X0,stldt0(xA))
<=> ( ~ aElementOf0(X0,xA)
& aInteger0(X0) ) )
& aSet0(stldt0(xA)) )
=> ( ( ! [X0] :
( aElementOf0(X0,cS1395)
<=> aInteger0(X0) )
& aSet0(cS1395) )
=> ( aSubsetOf0(stldt0(xA),cS1395)
| ! [X0] :
( aElementOf0(X0,stldt0(xA))
=> aElementOf0(X0,cS1395) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f40]) ).
fof(f49,plain,
~ ( ( ( ! [X6] :
( aElementOf0(X6,sdtbsmnsldt0(xA,xB))
<=> ( ( aElementOf0(X6,xB)
| aElementOf0(X6,xA) )
& aInteger0(X6) ) )
& aSet0(sdtbsmnsldt0(xA,xB)) )
=> ( ( ! [X7] :
( aElementOf0(X7,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( ~ aElementOf0(X7,sdtbsmnsldt0(xA,xB))
& aInteger0(X7) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB))) )
=> ( ! [X8] :
( aElementOf0(X8,stldt0(xA))
<=> ( ~ aElementOf0(X8,xA)
& aInteger0(X8) ) )
=> ( ! [X9] :
( aElementOf0(X9,stldt0(xB))
<=> ( ~ aElementOf0(X9,xB)
& aInteger0(X9) ) )
=> ( stldt0(sdtbsmnsldt0(xA,xB)) = sdtslmnbsdt0(stldt0(xA),stldt0(xB))
| ! [X10] :
( aElementOf0(X10,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( aElementOf0(X10,stldt0(xB))
& aElementOf0(X10,stldt0(xA))
& aInteger0(X10) ) ) ) ) ) ) )
& ( ( ! [X3] :
( aElementOf0(X3,stldt0(xB))
<=> ( ~ aElementOf0(X3,xB)
& aInteger0(X3) ) )
& aSet0(stldt0(xB)) )
=> ( ( ! [X4] :
( aElementOf0(X4,cS1395)
<=> aInteger0(X4) )
& aSet0(cS1395) )
=> ( aSubsetOf0(stldt0(xB),cS1395)
| ! [X5] :
( aElementOf0(X5,stldt0(xB))
=> aElementOf0(X5,cS1395) ) ) ) )
& ( ( ! [X0] :
( aElementOf0(X0,stldt0(xA))
<=> ( ~ aElementOf0(X0,xA)
& aInteger0(X0) ) )
& aSet0(stldt0(xA)) )
=> ( ( ! [X1] :
( aElementOf0(X1,cS1395)
<=> aInteger0(X1) )
& aSet0(cS1395) )
=> ( aSubsetOf0(stldt0(xA),cS1395)
| ! [X2] :
( aElementOf0(X2,stldt0(xA))
=> aElementOf0(X2,cS1395) ) ) ) ) ),
inference(rectify,[],[f41]) ).
fof(f102,plain,
( ( ! [X6] :
( aElementOf0(X6,sdtbsmnsldt0(xA,xB))
<=> ( ( aElementOf0(X6,xB)
| aElementOf0(X6,xA) )
& aInteger0(X6) ) )
& aSet0(sdtbsmnsldt0(xA,xB))
& ! [X7] :
( aElementOf0(X7,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( ~ aElementOf0(X7,sdtbsmnsldt0(xA,xB))
& aInteger0(X7) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X8] :
( aElementOf0(X8,stldt0(xA))
<=> ( ~ aElementOf0(X8,xA)
& aInteger0(X8) ) )
& ! [X9] :
( aElementOf0(X9,stldt0(xB))
<=> ( ~ aElementOf0(X9,xB)
& aInteger0(X9) ) )
& stldt0(sdtbsmnsldt0(xA,xB)) != sdtslmnbsdt0(stldt0(xA),stldt0(xB))
& ? [X10] :
( aElementOf0(X10,stldt0(sdtbsmnsldt0(xA,xB)))
<~> ( aElementOf0(X10,stldt0(xB))
& aElementOf0(X10,stldt0(xA))
& aInteger0(X10) ) ) )
| ( ! [X3] :
( aElementOf0(X3,stldt0(xB))
<=> ( ~ aElementOf0(X3,xB)
& aInteger0(X3) ) )
& aSet0(stldt0(xB))
& ! [X4] :
( aElementOf0(X4,cS1395)
<=> aInteger0(X4) )
& aSet0(cS1395)
& ~ aSubsetOf0(stldt0(xB),cS1395)
& ? [X5] :
( aElementOf0(X5,stldt0(xB))
& ~ aElementOf0(X5,cS1395) ) )
| ( ! [X0] :
( aElementOf0(X0,stldt0(xA))
<=> ( ~ aElementOf0(X0,xA)
& aInteger0(X0) ) )
& aSet0(stldt0(xA))
& ! [X1] :
( aElementOf0(X1,cS1395)
<=> aInteger0(X1) )
& aSet0(cS1395)
& ~ aSubsetOf0(stldt0(xA),cS1395)
& ? [X2] :
( aElementOf0(X2,stldt0(xA))
& ~ aElementOf0(X2,cS1395) ) ) ),
inference(ennf_transformation,[],[f49]) ).
fof(f103,plain,
( ( ! [X6] :
( aElementOf0(X6,sdtbsmnsldt0(xA,xB))
<=> ( ( aElementOf0(X6,xB)
| aElementOf0(X6,xA) )
& aInteger0(X6) ) )
& aSet0(sdtbsmnsldt0(xA,xB))
& ! [X7] :
( aElementOf0(X7,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( ~ aElementOf0(X7,sdtbsmnsldt0(xA,xB))
& aInteger0(X7) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X8] :
( aElementOf0(X8,stldt0(xA))
<=> ( ~ aElementOf0(X8,xA)
& aInteger0(X8) ) )
& ! [X9] :
( aElementOf0(X9,stldt0(xB))
<=> ( ~ aElementOf0(X9,xB)
& aInteger0(X9) ) )
& stldt0(sdtbsmnsldt0(xA,xB)) != sdtslmnbsdt0(stldt0(xA),stldt0(xB))
& ? [X10] :
( aElementOf0(X10,stldt0(sdtbsmnsldt0(xA,xB)))
<~> ( aElementOf0(X10,stldt0(xB))
& aElementOf0(X10,stldt0(xA))
& aInteger0(X10) ) ) )
| ( ! [X3] :
( aElementOf0(X3,stldt0(xB))
<=> ( ~ aElementOf0(X3,xB)
& aInteger0(X3) ) )
& aSet0(stldt0(xB))
& ! [X4] :
( aElementOf0(X4,cS1395)
<=> aInteger0(X4) )
& aSet0(cS1395)
& ~ aSubsetOf0(stldt0(xB),cS1395)
& ? [X5] :
( aElementOf0(X5,stldt0(xB))
& ~ aElementOf0(X5,cS1395) ) )
| ( ! [X0] :
( aElementOf0(X0,stldt0(xA))
<=> ( ~ aElementOf0(X0,xA)
& aInteger0(X0) ) )
& aSet0(stldt0(xA))
& ! [X1] :
( aElementOf0(X1,cS1395)
<=> aInteger0(X1) )
& aSet0(cS1395)
& ~ aSubsetOf0(stldt0(xA),cS1395)
& ? [X2] :
( aElementOf0(X2,stldt0(xA))
& ~ aElementOf0(X2,cS1395) ) ) ),
inference(flattening,[],[f102]) ).
fof(f177,plain,
( isClosed0(xB)
& isOpen0(stldt0(xB))
& ! [X12] :
( ~ aElementOf0(X12,stldt0(xB))
| ? [X13] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X12,X13),stldt0(xB))
& ! [X17] :
( ~ aElementOf0(X17,szAzrzSzezqlpdtcmdtrp0(X12,X13))
| aElementOf0(X17,stldt0(xB)) )
& sP6(X12,X13)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X12,X13))
& sz00 != X13
& aInteger0(X13) ) )
& ! [X11] :
( ( ~ aElementOf0(X11,stldt0(xB))
| ( ~ aElementOf0(X11,xB)
& aInteger0(X11) ) )
& ( aElementOf0(X11,xB)
| ~ aInteger0(X11)
| aElementOf0(X11,stldt0(xB)) ) )
& aSet0(stldt0(xB))
& isClosed0(xA)
& isOpen0(stldt0(xA))
& ! [X5] :
( ~ aElementOf0(X5,stldt0(xA))
| ? [X6] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X5,X6),stldt0(xA))
& ! [X10] :
( ~ aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(X5,X6))
| aElementOf0(X10,stldt0(xA)) )
& sP7(X5,X6)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X5,X6))
& sz00 != X6
& aInteger0(X6) ) )
& ! [X4] :
( ( ~ aElementOf0(X4,stldt0(xA))
| ( ~ aElementOf0(X4,xA)
& aInteger0(X4) ) )
& ( aElementOf0(X4,xA)
| ~ aInteger0(X4)
| aElementOf0(X4,stldt0(xA)) ) )
& aSet0(stldt0(xA))
& aSubsetOf0(xB,cS1395)
& ! [X3] :
( ~ aElementOf0(X3,xB)
| aElementOf0(X3,cS1395) )
& aSet0(xB)
& ! [X2] :
( ( ~ aElementOf0(X2,cS1395)
| aInteger0(X2) )
& ( ~ aInteger0(X2)
| aElementOf0(X2,cS1395) ) )
& aSet0(cS1395)
& aSubsetOf0(xA,cS1395)
& ! [X1] :
( ~ aElementOf0(X1,xA)
| aElementOf0(X1,cS1395) )
& aSet0(xA)
& ! [X0] :
( ( ~ aElementOf0(X0,cS1395)
| aInteger0(X0) )
& ( ~ aInteger0(X0)
| aElementOf0(X0,cS1395) ) )
& aSet0(cS1395) ),
inference(nnf_transformation,[],[f115]) ).
fof(f178,plain,
( isClosed0(xB)
& isOpen0(stldt0(xB))
& ! [X12] :
( ~ aElementOf0(X12,stldt0(xB))
| ? [X13] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X12,X13),stldt0(xB))
& ! [X17] :
( ~ aElementOf0(X17,szAzrzSzezqlpdtcmdtrp0(X12,X13))
| aElementOf0(X17,stldt0(xB)) )
& sP6(X12,X13)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X12,X13))
& sz00 != X13
& aInteger0(X13) ) )
& ! [X11] :
( ( ~ aElementOf0(X11,stldt0(xB))
| ( ~ aElementOf0(X11,xB)
& aInteger0(X11) ) )
& ( aElementOf0(X11,xB)
| ~ aInteger0(X11)
| aElementOf0(X11,stldt0(xB)) ) )
& aSet0(stldt0(xB))
& isClosed0(xA)
& isOpen0(stldt0(xA))
& ! [X5] :
( ~ aElementOf0(X5,stldt0(xA))
| ? [X6] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X5,X6),stldt0(xA))
& ! [X10] :
( ~ aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(X5,X6))
| aElementOf0(X10,stldt0(xA)) )
& sP7(X5,X6)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X5,X6))
& sz00 != X6
& aInteger0(X6) ) )
& ! [X4] :
( ( ~ aElementOf0(X4,stldt0(xA))
| ( ~ aElementOf0(X4,xA)
& aInteger0(X4) ) )
& ( aElementOf0(X4,xA)
| ~ aInteger0(X4)
| aElementOf0(X4,stldt0(xA)) ) )
& aSet0(stldt0(xA))
& aSubsetOf0(xB,cS1395)
& ! [X3] :
( ~ aElementOf0(X3,xB)
| aElementOf0(X3,cS1395) )
& aSet0(xB)
& ! [X2] :
( ( ~ aElementOf0(X2,cS1395)
| aInteger0(X2) )
& ( ~ aInteger0(X2)
| aElementOf0(X2,cS1395) ) )
& aSet0(cS1395)
& aSubsetOf0(xA,cS1395)
& ! [X1] :
( ~ aElementOf0(X1,xA)
| aElementOf0(X1,cS1395) )
& aSet0(xA)
& ! [X0] :
( ( ~ aElementOf0(X0,cS1395)
| aInteger0(X0) )
& ( ~ aInteger0(X0)
| aElementOf0(X0,cS1395) ) )
& aSet0(cS1395) ),
inference(flattening,[],[f177]) ).
fof(f179,plain,
( isClosed0(xB)
& isOpen0(stldt0(xB))
& ! [X9] :
( ~ aElementOf0(X9,stldt0(xB))
| ? [X10] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X9,X10),stldt0(xB))
& ! [X11] :
( ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,X10))
| aElementOf0(X11,stldt0(xB)) )
& sP6(X9,X10)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X9,X10))
& sz00 != X10
& aInteger0(X10) ) )
& ! [X8] :
( ( ~ aElementOf0(X8,stldt0(xB))
| ( ~ aElementOf0(X8,xB)
& aInteger0(X8) ) )
& ( aElementOf0(X8,xB)
| ~ aInteger0(X8)
| aElementOf0(X8,stldt0(xB)) ) )
& aSet0(stldt0(xB))
& isClosed0(xA)
& isOpen0(stldt0(xA))
& ! [X5] :
( ~ aElementOf0(X5,stldt0(xA))
| ? [X6] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X5,X6),stldt0(xA))
& ! [X7] :
( ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X5,X6))
| aElementOf0(X7,stldt0(xA)) )
& sP7(X5,X6)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X5,X6))
& sz00 != X6
& aInteger0(X6) ) )
& ! [X4] :
( ( ~ aElementOf0(X4,stldt0(xA))
| ( ~ aElementOf0(X4,xA)
& aInteger0(X4) ) )
& ( aElementOf0(X4,xA)
| ~ aInteger0(X4)
| aElementOf0(X4,stldt0(xA)) ) )
& aSet0(stldt0(xA))
& aSubsetOf0(xB,cS1395)
& ! [X3] :
( ~ aElementOf0(X3,xB)
| aElementOf0(X3,cS1395) )
& aSet0(xB)
& ! [X2] :
( ( ~ aElementOf0(X2,cS1395)
| aInteger0(X2) )
& ( ~ aInteger0(X2)
| aElementOf0(X2,cS1395) ) )
& aSet0(cS1395)
& aSubsetOf0(xA,cS1395)
& ! [X1] :
( ~ aElementOf0(X1,xA)
| aElementOf0(X1,cS1395) )
& aSet0(xA)
& ! [X0] :
( ( ~ aElementOf0(X0,cS1395)
| aInteger0(X0) )
& ( ~ aInteger0(X0)
| aElementOf0(X0,cS1395) ) )
& aSet0(cS1395) ),
inference(rectify,[],[f178]) ).
fof(f180,plain,
( isClosed0(xB)
& isOpen0(stldt0(xB))
& ! [X9] :
( ~ aElementOf0(X9,stldt0(xB))
| ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X9,sK34(X9)),stldt0(xB))
& ! [X11] :
( ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,sK34(X9)))
| aElementOf0(X11,stldt0(xB)) )
& sP6(X9,sK34(X9))
& aSet0(szAzrzSzezqlpdtcmdtrp0(X9,sK34(X9)))
& sz00 != sK34(X9)
& aInteger0(sK34(X9)) ) )
& ! [X8] :
( ( ~ aElementOf0(X8,stldt0(xB))
| ( ~ aElementOf0(X8,xB)
& aInteger0(X8) ) )
& ( aElementOf0(X8,xB)
| ~ aInteger0(X8)
| aElementOf0(X8,stldt0(xB)) ) )
& aSet0(stldt0(xB))
& isClosed0(xA)
& isOpen0(stldt0(xA))
& ! [X5] :
( ~ aElementOf0(X5,stldt0(xA))
| ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X5,sK33(X5)),stldt0(xA))
& ! [X7] :
( ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X5,sK33(X5)))
| aElementOf0(X7,stldt0(xA)) )
& sP7(X5,sK33(X5))
& aSet0(szAzrzSzezqlpdtcmdtrp0(X5,sK33(X5)))
& sz00 != sK33(X5)
& aInteger0(sK33(X5)) ) )
& ! [X4] :
( ( ~ aElementOf0(X4,stldt0(xA))
| ( ~ aElementOf0(X4,xA)
& aInteger0(X4) ) )
& ( aElementOf0(X4,xA)
| ~ aInteger0(X4)
| aElementOf0(X4,stldt0(xA)) ) )
& aSet0(stldt0(xA))
& aSubsetOf0(xB,cS1395)
& ! [X3] :
( ~ aElementOf0(X3,xB)
| aElementOf0(X3,cS1395) )
& aSet0(xB)
& ! [X2] :
( ( ~ aElementOf0(X2,cS1395)
| aInteger0(X2) )
& ( ~ aInteger0(X2)
| aElementOf0(X2,cS1395) ) )
& aSet0(cS1395)
& aSubsetOf0(xA,cS1395)
& ! [X1] :
( ~ aElementOf0(X1,xA)
| aElementOf0(X1,cS1395) )
& aSet0(xA)
& ! [X0] :
( ( ~ aElementOf0(X0,cS1395)
| aInteger0(X0) )
& ( ~ aInteger0(X0)
| aElementOf0(X0,cS1395) ) )
& aSet0(cS1395) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK33,sK34]),skolemize(X6,sK33(X5)),skolemize(X10,sK34(X9))],[f179]) ).
fof(f181,plain,
( ~ sP16
| ( sP13
& aSet0(stldt0(xB))
& ! [X4] :
( ( ~ aElementOf0(X4,cS1395)
| aInteger0(X4) )
& ( ~ aInteger0(X4)
| aElementOf0(X4,cS1395) ) )
& aSet0(cS1395)
& ~ aSubsetOf0(stldt0(xB),cS1395)
& ? [X5] :
( aElementOf0(X5,stldt0(xB))
& ~ aElementOf0(X5,cS1395) ) ) ),
inference(nnf_transformation,[],[f124]) ).
fof(f182,plain,
( ~ sP16
| ( sP13
& aSet0(stldt0(xB))
& ! [X1] :
( ( ~ aElementOf0(X1,cS1395)
| aInteger0(X1) )
& ( ~ aInteger0(X1)
| aElementOf0(X1,cS1395) ) )
& aSet0(cS1395)
& ~ aSubsetOf0(stldt0(xB),cS1395)
& ? [X0] :
( aElementOf0(X0,stldt0(xB))
& ~ aElementOf0(X0,cS1395) ) ) ),
inference(rectify,[],[f181]) ).
fof(f183,plain,
( ~ sP16
| ( sP13
& aSet0(stldt0(xB))
& ! [X1] :
( ( ~ aElementOf0(X1,cS1395)
| aInteger0(X1) )
& ( ~ aInteger0(X1)
| aElementOf0(X1,cS1395) ) )
& aSet0(cS1395)
& ~ aSubsetOf0(stldt0(xB),cS1395)
& aElementOf0(sK35,stldt0(xB))
& ~ aElementOf0(sK35,cS1395) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK35]),skolemize(X0,sK35)],[f182]) ).
fof(f184,plain,
( ~ sP15
| ( sP8
& aSet0(sdtbsmnsldt0(xA,xB))
& sP10
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& sP11
& sP12
& stldt0(sdtbsmnsldt0(xA,xB)) != sdtslmnbsdt0(stldt0(xA),stldt0(xB))
& sP9 ) ),
inference(nnf_transformation,[],[f123]) ).
fof(f196,plain,
( ~ sP10
| ! [X7] :
( ( ~ aElementOf0(X7,stldt0(sdtbsmnsldt0(xA,xB)))
| ( ~ aElementOf0(X7,sdtbsmnsldt0(xA,xB))
& aInteger0(X7) ) )
& ( aElementOf0(X7,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X7)
| aElementOf0(X7,stldt0(sdtbsmnsldt0(xA,xB))) ) ) ),
inference(nnf_transformation,[],[f118]) ).
fof(f197,plain,
( ~ sP10
| ! [X7] :
( ( ~ aElementOf0(X7,stldt0(sdtbsmnsldt0(xA,xB)))
| ( ~ aElementOf0(X7,sdtbsmnsldt0(xA,xB))
& aInteger0(X7) ) )
& ( aElementOf0(X7,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X7)
| aElementOf0(X7,stldt0(sdtbsmnsldt0(xA,xB))) ) ) ),
inference(flattening,[],[f196]) ).
fof(f198,plain,
( ~ sP10
| ! [X0] :
( ( ~ aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
| ( ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB))
& aInteger0(X0) ) )
& ( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X0)
| aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB))) ) ) ),
inference(rectify,[],[f197]) ).
fof(f199,plain,
( ~ sP9
| ? [X10] :
( ( aElementOf0(X10,stldt0(sdtbsmnsldt0(xA,xB)))
| ( aElementOf0(X10,stldt0(xB))
& aElementOf0(X10,stldt0(xA))
& aInteger0(X10) ) )
& ( ~ aElementOf0(X10,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aElementOf0(X10,stldt0(xB))
| ~ aElementOf0(X10,stldt0(xA))
| ~ aInteger0(X10) ) ) ),
inference(nnf_transformation,[],[f117]) ).
fof(f200,plain,
( ~ sP9
| ? [X10] :
( ( aElementOf0(X10,stldt0(sdtbsmnsldt0(xA,xB)))
| ( aElementOf0(X10,stldt0(xB))
& aElementOf0(X10,stldt0(xA))
& aInteger0(X10) ) )
& ( ~ aElementOf0(X10,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aElementOf0(X10,stldt0(xB))
| ~ aElementOf0(X10,stldt0(xA))
| ~ aInteger0(X10) ) ) ),
inference(flattening,[],[f199]) ).
fof(f201,plain,
( ~ sP9
| ? [X0] :
( ( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
| ( aElementOf0(X0,stldt0(xB))
& aElementOf0(X0,stldt0(xA))
& aInteger0(X0) ) )
& ( ~ aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aElementOf0(X0,stldt0(xB))
| ~ aElementOf0(X0,stldt0(xA))
| ~ aInteger0(X0) ) ) ),
inference(rectify,[],[f200]) ).
fof(f202,plain,
( ~ sP9
| ( ( aElementOf0(sK36,stldt0(sdtbsmnsldt0(xA,xB)))
| ( aElementOf0(sK36,stldt0(xB))
& aElementOf0(sK36,stldt0(xA))
& aInteger0(sK36) ) )
& ( ~ aElementOf0(sK36,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aElementOf0(sK36,stldt0(xB))
| ~ aElementOf0(sK36,stldt0(xA))
| ~ aInteger0(sK36) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK36]),skolemize(X0,sK36)],[f201]) ).
fof(f206,plain,
( sP15
| sP16
| ( sP14
& aSet0(stldt0(xA))
& ! [X1] :
( ( ~ aElementOf0(X1,cS1395)
| aInteger0(X1) )
& ( ~ aInteger0(X1)
| aElementOf0(X1,cS1395) ) )
& aSet0(cS1395)
& ~ aSubsetOf0(stldt0(xA),cS1395)
& ? [X2] :
( aElementOf0(X2,stldt0(xA))
& ~ aElementOf0(X2,cS1395) ) ) ),
inference(nnf_transformation,[],[f125]) ).
fof(f207,plain,
( sP15
| sP16
| ( sP14
& aSet0(stldt0(xA))
& ! [X1] :
( ( ~ aElementOf0(X1,cS1395)
| aInteger0(X1) )
& ( ~ aInteger0(X1)
| aElementOf0(X1,cS1395) ) )
& aSet0(cS1395)
& ~ aSubsetOf0(stldt0(xA),cS1395)
& ? [X0] :
( aElementOf0(X0,stldt0(xA))
& ~ aElementOf0(X0,cS1395) ) ) ),
inference(rectify,[],[f206]) ).
fof(f208,plain,
( sP15
| sP16
| ( sP14
& aSet0(stldt0(xA))
& ! [X1] :
( ( ~ aElementOf0(X1,cS1395)
| aInteger0(X1) )
& ( ~ aInteger0(X1)
| aElementOf0(X1,cS1395) ) )
& aSet0(cS1395)
& ~ aSubsetOf0(stldt0(xA),cS1395)
& aElementOf0(sK37,stldt0(xA))
& ~ aElementOf0(sK37,cS1395) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK37]),skolemize(X0,sK37)],[f207]) ).
fof(f336,plain,
! [X8] :
( ~ aElementOf0(X8,stldt0(xB))
| ~ aElementOf0(X8,xB) ),
inference(cnf_transformation,[],[f180]) ).
fof(f337,plain,
! [X8] :
( ~ aElementOf0(X8,stldt0(xB))
| aInteger0(X8) ),
inference(cnf_transformation,[],[f180]) ).
fof(f338,plain,
! [X8] :
( aElementOf0(X8,xB)
| ~ aInteger0(X8)
| aElementOf0(X8,stldt0(xB)) ),
inference(cnf_transformation,[],[f180]) ).
fof(f348,plain,
! [X4] :
( ~ aElementOf0(X4,stldt0(xA))
| ~ aElementOf0(X4,xA) ),
inference(cnf_transformation,[],[f180]) ).
fof(f349,plain,
! [X4] :
( ~ aElementOf0(X4,stldt0(xA))
| aInteger0(X4) ),
inference(cnf_transformation,[],[f180]) ).
fof(f350,plain,
! [X4] :
( aElementOf0(X4,xA)
| ~ aInteger0(X4)
| aElementOf0(X4,stldt0(xA)) ),
inference(cnf_transformation,[],[f180]) ).
fof(f353,plain,
! [X3] :
( ~ aElementOf0(X3,xB)
| aElementOf0(X3,cS1395) ),
inference(cnf_transformation,[],[f180]) ).
fof(f355,plain,
! [X2] :
( ~ aElementOf0(X2,cS1395)
| aInteger0(X2) ),
inference(cnf_transformation,[],[f180]) ).
fof(f356,plain,
! [X2] :
( ~ aInteger0(X2)
| aElementOf0(X2,cS1395) ),
inference(cnf_transformation,[],[f180]) ).
fof(f359,plain,
! [X1] :
( ~ aElementOf0(X1,xA)
| aElementOf0(X1,cS1395) ),
inference(cnf_transformation,[],[f180]) ).
fof(f370,plain,
( ~ sP16
| aElementOf0(sK35,stldt0(xB)) ),
inference(cnf_transformation,[],[f183]) ).
fof(f371,plain,
( ~ sP16
| ~ aElementOf0(sK35,cS1395) ),
inference(cnf_transformation,[],[f183]) ).
fof(f372,plain,
( ~ sP15
| sP8 ),
inference(cnf_transformation,[],[f184]) ).
fof(f374,plain,
( ~ sP15
| sP10 ),
inference(cnf_transformation,[],[f184]) ).
fof(f379,plain,
( ~ sP15
| sP9 ),
inference(cnf_transformation,[],[f184]) ).
fof(f392,plain,
! [X0] :
( ~ sP10
| ~ aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB)) ),
inference(cnf_transformation,[],[f198]) ).
fof(f393,plain,
! [X0] :
( ~ sP10
| ~ aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
| aInteger0(X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f394,plain,
! [X0] :
( ~ sP10
| aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X0)
| aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(cnf_transformation,[],[f198]) ).
fof(f395,plain,
( ~ sP9
| aElementOf0(sK36,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(sK36,stldt0(xB)) ),
inference(cnf_transformation,[],[f202]) ).
fof(f396,plain,
( ~ sP9
| aElementOf0(sK36,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(sK36,stldt0(xA)) ),
inference(cnf_transformation,[],[f202]) ).
fof(f397,plain,
( ~ sP9
| aElementOf0(sK36,stldt0(sdtbsmnsldt0(xA,xB)))
| aInteger0(sK36) ),
inference(cnf_transformation,[],[f202]) ).
fof(f398,plain,
( ~ sP9
| ~ aElementOf0(sK36,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aElementOf0(sK36,stldt0(xB))
| ~ aElementOf0(sK36,stldt0(xA))
| ~ aInteger0(sK36) ),
inference(cnf_transformation,[],[f202]) ).
fof(f409,plain,
( sP15
| sP16
| aElementOf0(sK37,stldt0(xA)) ),
inference(cnf_transformation,[],[f208]) ).
fof(f410,plain,
( sP15
| sP16
| ~ aElementOf0(sK37,cS1395) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_172,plain,
! [X0: $i] :
( aElementOf0(X0,cS1395)
| ~ aElementOf0(X0,xA) ),
inference(cnf_transformation,[],[f359]) ).
tcf(c_175,plain,
! [X0: $i] :
( aElementOf0(X0,cS1395)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f356]) ).
tcf(c_176,plain,
! [X0: $i] :
( aInteger0(X0)
| ~ aElementOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f355]) ).
tcf(c_178,plain,
! [X0: $i] :
( aElementOf0(X0,cS1395)
| ~ aElementOf0(X0,xB) ),
inference(cnf_transformation,[],[f353]) ).
tcf(c_181,plain,
! [X0: $i] :
( aElementOf0(X0,xA)
| aElementOf0(X0,stldt0(xA))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f350]) ).
tcf(c_182,plain,
! [X0: $i] :
( aInteger0(X0)
| ~ aElementOf0(X0,stldt0(xA)) ),
inference(cnf_transformation,[],[f349]) ).
tcf(c_183,plain,
! [X0: $i] :
( ~ aElementOf0(X0,xA)
| ~ aElementOf0(X0,stldt0(xA)) ),
inference(cnf_transformation,[],[f348]) ).
tcf(c_193,plain,
! [X0: $i] :
( aElementOf0(X0,xB)
| aElementOf0(X0,stldt0(xB))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f338]) ).
tcf(c_194,plain,
! [X0: $i] :
( aInteger0(X0)
| ~ aElementOf0(X0,stldt0(xB)) ),
inference(cnf_transformation,[],[f337]) ).
tcf(c_195,plain,
! [X0: $i] :
( ~ aElementOf0(X0,xB)
| ~ aElementOf0(X0,stldt0(xB)) ),
inference(cnf_transformation,[],[f336]) ).
tcf(c_204,plain,
( ~ sP16
| ~ aElementOf0(sK35,cS1395) ),
inference(cnf_transformation,[],[f371]) ).
tcf(c_205,plain,
( aElementOf0(sK35,stldt0(xB))
| ~ sP16 ),
inference(cnf_transformation,[],[f370]) ).
tcf(c_212,plain,
( sP9
| ~ sP15 ),
inference(cnf_transformation,[],[f379]) ).
tcf(c_217,plain,
( sP10
| ~ sP15 ),
inference(cnf_transformation,[],[f374]) ).
tcf(c_219,plain,
( sP8
| ~ sP15 ),
inference(cnf_transformation,[],[f372]) ).
tcf(c_232,plain,
! [X0: $i] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ sP10
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f394]) ).
tcf(c_233,plain,
! [X0: $i] :
( aInteger0(X0)
| ~ sP10
| ~ aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(cnf_transformation,[],[f393]) ).
tcf(c_234,plain,
! [X0: $i] :
( ~ sP10
| ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(cnf_transformation,[],[f392]) ).
tcf(c_235,plain,
( ~ sP9
| ~ aInteger0(sK36)
| ~ aElementOf0(sK36,stldt0(xB))
| ~ aElementOf0(sK36,stldt0(xA))
| ~ aElementOf0(sK36,stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(cnf_transformation,[],[f398]) ).
tcf(c_236,plain,
( aInteger0(sK36)
| aElementOf0(sK36,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ sP9 ),
inference(cnf_transformation,[],[f397]) ).
tcf(c_237,plain,
( aElementOf0(sK36,stldt0(xA))
| aElementOf0(sK36,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ sP9 ),
inference(cnf_transformation,[],[f396]) ).
tcf(c_238,plain,
( aElementOf0(sK36,stldt0(xB))
| aElementOf0(sK36,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ sP9 ),
inference(cnf_transformation,[],[f395]) ).
tcf(c_243,negated_conjecture,
( sP15
| sP16
| ~ aElementOf0(sK37,cS1395) ),
inference(cnf_transformation,[],[f410]) ).
tcf(c_244,negated_conjecture,
( sP15
| sP16
| aElementOf0(sK37,stldt0(xA)) ),
inference(cnf_transformation,[],[f409]) ).
tcf(c_450,plain,
! [X0: $i] :
( ~ aElementOf0(X0,stldt0(xA))
| aInteger0(X0) ),
inference(prop_impl_just,[status(thm)],[c_182]) ).
tcf(c_451,plain,
! [X0: $i] :
( aInteger0(X0)
| ~ aElementOf0(X0,stldt0(xA)) ),
inference(renaming,[status(thm)],[c_450]) ).
tcf(c_532,plain,
( sP9
| ~ sP15 ),
inference(prop_impl_just,[status(thm)],[c_212]) ).
tcf(c_542,plain,
( sP10
| ~ sP15 ),
inference(prop_impl_just,[status(thm)],[c_217]) ).
tcf(c_546,plain,
( sP8
| ~ sP15 ),
inference(prop_impl_just,[status(thm)],[c_219]) ).
tcf(c_959,plain,
( ~ sP9
| ~ aElementOf0(sK36,stldt0(xB))
| ~ aElementOf0(sK36,stldt0(xA))
| ~ aElementOf0(sK36,stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_235,c_451]) ).
tcf(c_3265,plain,
! [X0: $i] :
( ~ sP15
| ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(resolution,[status(thm)],[c_542,c_234]) ).
tcf(c_3276,plain,
! [X0: $i] :
( aInteger0(X0)
| ~ sP15
| ~ aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(resolution,[status(thm)],[c_542,c_233]) ).
tcf(c_3287,plain,
! [X0: $i] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ sP15
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[c_542,c_232]) ).
tcf(c_3311,plain,
( ~ sP15
| ~ aElementOf0(sK36,stldt0(xB))
| ~ aElementOf0(sK36,stldt0(xA))
| ~ aElementOf0(sK36,stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(resolution,[status(thm)],[c_532,c_959]) ).
tcf(c_3324,plain,
( aElementOf0(sK36,stldt0(xB))
| aElementOf0(sK36,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ sP15 ),
inference(resolution,[status(thm)],[c_532,c_238]) ).
tcf(c_3334,plain,
( aElementOf0(sK36,stldt0(xA))
| aElementOf0(sK36,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ sP15 ),
inference(resolution,[status(thm)],[c_532,c_237]) ).
tcf(c_3344,plain,
( aInteger0(sK36)
| aElementOf0(sK36,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ sP15 ),
inference(resolution,[status(thm)],[c_532,c_236]) ).
tcf(c_3351,plain,
( aInteger0(sK36)
| ~ sP15 ),
inference(forward_subsumption_resolution,[status(thm)],[c_3344,c_3276]) ).
tcf(c_7550,plain,
( aInteger0(sK36)
| ~ sP15 ),
inference(prop_impl_just,[status(thm)],[c_3351]) ).
tcf(c_13683,definition,
iPr_def_10 = stldt0(xA),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_13685,negated_conjecture,
( sP15
| sP16
| aElementOf0(sK37,iPr_def_10) ),
inference(demodulation,[status(thm)],[c_244]) ).
tcf(c_13686,negated_conjecture,
( sP15
| sP16
| ~ aElementOf0(sK37,cS1395) ),
inference(demodulation,[status(thm)],[c_243]) ).
tcf(c_17063,plain,
( sP15
| sP16
| ~ aInteger0(sK37) ),
inference(superposition,[status(thm)],[c_175,c_13686]) ).
tcf(c_17082,plain,
( ~ sP16
| ~ aInteger0(sK35) ),
inference(superposition,[status(thm)],[c_175,c_204]) ).
tcf(c_17140,plain,
! [X0: $i] :
( aInteger0(X0)
| ~ aElementOf0(X0,iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_182,c_13683]) ).
tcf(c_17147,plain,
( sP15
| sP16
| aInteger0(sK37) ),
inference(superposition,[status(thm)],[c_13685,c_17140]) ).
tcf(c_17151,plain,
( sP15
| sP16 ),
inference(global_subsumption_just,[status(thm)],[c_17147,c_17063,c_17147]) ).
tcf(c_17161,plain,
( aInteger0(sK35)
| ~ sP16 ),
inference(superposition,[status(thm)],[c_205,c_194]) ).
tcf(c_17164,plain,
~ sP16,
inference(global_subsumption_just,[status(thm)],[c_17161,c_17082,c_17161]) ).
tcf(c_17166,plain,
sP15,
inference(backward_subsumption_resolution,[status(thm)],[c_17151,c_17164]) ).
tcf(c_17167,plain,
aInteger0(sK36),
inference(backward_subsumption_resolution,[status(thm)],[c_7550,c_17166]) ).
tcf(c_17168,plain,
! [X0: $i] :
( ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3265,c_17166]) ).
tcf(c_17236,plain,
! [X0: $i] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aInteger0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_3287,c_217,c_232,c_17151,c_17164]) ).
tcf(c_17428,plain,
( ~ aElementOf0(sK36,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aElementOf0(sK36,stldt0(xA))
| ~ aElementOf0(sK36,stldt0(xB)) ),
inference(global_subsumption_just,[status(thm)],[c_3311,c_3311,c_17063,c_17082,c_17147,c_17161]) ).
tcf(c_17429,plain,
( ~ aElementOf0(sK36,stldt0(xB))
| ~ aElementOf0(sK36,stldt0(xA))
| ~ aElementOf0(sK36,stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(renaming,[status(thm)],[c_17428]) ).
tcf(c_17430,plain,
( ~ aElementOf0(sK36,iPr_def_10)
| ~ aElementOf0(sK36,stldt0(xB))
| ~ aElementOf0(sK36,stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(light_normalisation,[status(thm)],[c_17429,c_13683]) ).
tcf(c_17440,plain,
( aElementOf0(sK36,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(sK36)
| ~ aElementOf0(sK36,iPr_def_10)
| ~ aElementOf0(sK36,stldt0(xB)) ),
inference(superposition,[status(thm)],[c_17236,c_17430]) ).
tcf(c_17441,plain,
( aElementOf0(sK36,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(sK36,iPr_def_10)
| ~ aElementOf0(sK36,stldt0(xB)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17440,c_17167]) ).
tcf(c_17445,plain,
! [X0: $i] :
( ~ aElementOf0(X0,iPr_def_10)
| ~ aElementOf0(X0,xA) ),
inference(light_normalisation,[status(thm)],[c_183,c_13683]) ).
tcf(c_17653,plain,
( aElementOf0(sK36,stldt0(xB))
| aElementOf0(sK36,stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(global_subsumption_just,[status(thm)],[c_3324,c_212,c_238,c_17063,c_17082,c_17147,c_17161]) ).
tcf(c_17660,plain,
( aElementOf0(sK36,stldt0(xB))
| ~ aElementOf0(sK36,sdtbsmnsldt0(xA,xB)) ),
inference(superposition,[status(thm)],[c_17653,c_17168]) ).
tcf(c_17862,plain,
( aElementOf0(sK36,stldt0(xA))
| aElementOf0(sK36,stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(global_subsumption_just,[status(thm)],[c_3334,c_212,c_237,c_17063,c_17082,c_17147,c_17161]) ).
tcf(c_17864,plain,
( aElementOf0(sK36,iPr_def_10)
| aElementOf0(sK36,stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(light_normalisation,[status(thm)],[c_17862,c_13683]) ).
tcf(c_17873,plain,
( aElementOf0(sK36,iPr_def_10)
| ~ aElementOf0(sK36,sdtbsmnsldt0(xA,xB)) ),
inference(superposition,[status(thm)],[c_17864,c_17168]) ).
tcf(c_17932,plain,
! [X0: $i] :
( aElementOf0(X0,iPr_def_10)
| aElementOf0(X0,xA)
| ~ aInteger0(X0) ),
inference(light_normalisation,[status(thm)],[c_181,c_13683]) ).
tcf(c_18323,plain,
( aElementOf0(sK36,xB)
| aElementOf0(sK36,stldt0(xB))
| ~ aInteger0(sK36) ),
inference(instantiation,[status(thm)],[c_193]) ).
fof(f116,definition,
( ~ sP8
| ! [X6] :
( aElementOf0(X6,sdtbsmnsldt0(xA,xB))
<=> ( ( aElementOf0(X6,xB)
| aElementOf0(X6,xA) )
& aInteger0(X6) ) ) ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f117,definition,
( ~ sP9
| ? [X10] :
( aElementOf0(X10,stldt0(sdtbsmnsldt0(xA,xB)))
<~> ( aElementOf0(X10,stldt0(xB))
& aElementOf0(X10,stldt0(xA))
& aInteger0(X10) ) ) ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f118,definition,
( ~ sP10
| ! [X7] :
( aElementOf0(X7,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( ~ aElementOf0(X7,sdtbsmnsldt0(xA,xB))
& aInteger0(X7) ) ) ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f119,definition,
( ~ sP11
| ! [X8] :
( aElementOf0(X8,stldt0(xA))
<=> ( ~ aElementOf0(X8,xA)
& aInteger0(X8) ) ) ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f120,definition,
( ~ sP12
| ! [X9] :
( aElementOf0(X9,stldt0(xB))
<=> ( ~ aElementOf0(X9,xB)
& aInteger0(X9) ) ) ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f121,definition,
( ~ sP13
| ! [X3] :
( aElementOf0(X3,stldt0(xB))
<=> ( ~ aElementOf0(X3,xB)
& aInteger0(X3) ) ) ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f122,definition,
( ~ sP14
| ! [X0] :
( aElementOf0(X0,stldt0(xA))
<=> ( ~ aElementOf0(X0,xA)
& aInteger0(X0) ) ) ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f123,definition,
( ~ sP15
| ( sP8
& aSet0(sdtbsmnsldt0(xA,xB))
& sP10
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& sP11
& sP12
& stldt0(sdtbsmnsldt0(xA,xB)) != sdtslmnbsdt0(stldt0(xA),stldt0(xB))
& sP9 ) ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f124,definition,
( ~ sP16
| ( sP13
& aSet0(stldt0(xB))
& ! [X4] :
( aElementOf0(X4,cS1395)
<=> aInteger0(X4) )
& aSet0(cS1395)
& ~ aSubsetOf0(stldt0(xB),cS1395)
& ? [X5] :
( aElementOf0(X5,stldt0(xB))
& ~ aElementOf0(X5,cS1395) ) ) ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f125,plain,
( sP15
| sP16
| ( sP14
& aSet0(stldt0(xA))
& ! [X1] :
( aElementOf0(X1,cS1395)
<=> aInteger0(X1) )
& aSet0(cS1395)
& ~ aSubsetOf0(stldt0(xA),cS1395)
& ? [X2] :
( aElementOf0(X2,stldt0(xA))
& ~ aElementOf0(X2,cS1395) ) ) ),
inference(definition_folding,[],[f103,f124,f123,f122,f121,f120,f119,f118,f117,f116]) ).
fof(f203,plain,
( ~ sP8
| ! [X6] :
( ( ~ aElementOf0(X6,sdtbsmnsldt0(xA,xB))
| ( ( aElementOf0(X6,xB)
| aElementOf0(X6,xA) )
& aInteger0(X6) ) )
& ( ( ~ aElementOf0(X6,xB)
& ~ aElementOf0(X6,xA) )
| ~ aInteger0(X6)
| aElementOf0(X6,sdtbsmnsldt0(xA,xB)) ) ) ),
inference(nnf_transformation,[],[f116]) ).
fof(f204,plain,
( ~ sP8
| ! [X6] :
( ( ~ aElementOf0(X6,sdtbsmnsldt0(xA,xB))
| ( ( aElementOf0(X6,xB)
| aElementOf0(X6,xA) )
& aInteger0(X6) ) )
& ( ( ~ aElementOf0(X6,xB)
& ~ aElementOf0(X6,xA) )
| ~ aInteger0(X6)
| aElementOf0(X6,sdtbsmnsldt0(xA,xB)) ) ) ),
inference(flattening,[],[f203]) ).
fof(f205,plain,
( ~ sP8
| ! [X0] :
( ( ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ( ( aElementOf0(X0,xB)
| aElementOf0(X0,xA) )
& aInteger0(X0) ) )
& ( ( ~ aElementOf0(X0,xB)
& ~ aElementOf0(X0,xA) )
| ~ aInteger0(X0)
| aElementOf0(X0,sdtbsmnsldt0(xA,xB)) ) ) ),
inference(rectify,[],[f204]) ).
fof(f399,plain,
! [X0] :
( ~ sP8
| ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| aElementOf0(X0,xB)
| aElementOf0(X0,xA) ),
inference(cnf_transformation,[],[f205]) ).
fof(f401,plain,
! [X0] :
( ~ sP8
| ~ aElementOf0(X0,xB)
| ~ aInteger0(X0)
| aElementOf0(X0,sdtbsmnsldt0(xA,xB)) ),
inference(cnf_transformation,[],[f205]) ).
fof(f402,plain,
! [X0] :
( ~ sP8
| ~ aElementOf0(X0,xA)
| ~ aInteger0(X0)
| aElementOf0(X0,sdtbsmnsldt0(xA,xB)) ),
inference(cnf_transformation,[],[f205]) ).
tcf(c_239,plain,
! [X0: $i] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ sP8
| ~ aInteger0(X0)
| ~ aElementOf0(X0,xA) ),
inference(cnf_transformation,[],[f402]) ).
tcf(c_240,plain,
! [X0: $i] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ sP8
| ~ aInteger0(X0)
| ~ aElementOf0(X0,xB) ),
inference(cnf_transformation,[],[f401]) ).
tcf(c_242,plain,
! [X0: $i] :
( aElementOf0(X0,xB)
| aElementOf0(X0,xA)
| ~ sP8
| ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB)) ),
inference(cnf_transformation,[],[f399]) ).
tcf(c_409,plain,
! [X0: $i] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ sP8
| ~ aElementOf0(X0,xB) ),
inference(global_subsumption_just,[status(thm)],[c_240,c_176,c_178,c_240]) ).
tcf(c_412,plain,
! [X0: $i] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ sP8
| ~ aElementOf0(X0,xA) ),
inference(global_subsumption_just,[status(thm)],[c_239,c_176,c_172,c_239]) ).
tcf(c_3366,plain,
! [X0: $i] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ sP15
| ~ aElementOf0(X0,xA) ),
inference(resolution,[status(thm)],[c_546,c_412]) ).
tcf(c_3377,plain,
! [X0: $i] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ sP15
| ~ aElementOf0(X0,xB) ),
inference(resolution,[status(thm)],[c_546,c_409]) ).
tcf(c_3388,plain,
! [X0: $i] :
( aElementOf0(X0,xB)
| aElementOf0(X0,xA)
| ~ sP15
| ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB)) ),
inference(resolution,[status(thm)],[c_546,c_242]) ).
tcf(c_18071,plain,
! [X0: $i] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(X0,xA) ),
inference(global_subsumption_just,[status(thm)],[c_3366,c_219,c_412,c_17063,c_17082,c_17147,c_17161]) ).
tcf(c_18080,plain,
( aElementOf0(sK36,iPr_def_10)
| ~ aElementOf0(sK36,xA) ),
inference(superposition,[status(thm)],[c_18071,c_17873]) ).
tcf(c_18299,plain,
~ aElementOf0(sK36,xA),
inference(forward_subsumption_resolution,[status(thm)],[c_18080,c_17445]) ).
tcf(c_18300,plain,
( aElementOf0(sK36,iPr_def_10)
| ~ aInteger0(sK36) ),
inference(superposition,[status(thm)],[c_17932,c_18299]) ).
tcf(c_18301,plain,
aElementOf0(sK36,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_18300,c_17167]) ).
tcf(c_18302,plain,
( aElementOf0(sK36,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(sK36,stldt0(xB)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_17441,c_18301]) ).
tcf(c_18367,plain,
! [X0: $i] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(X0,xB) ),
inference(global_subsumption_just,[status(thm)],[c_3377,c_219,c_409,c_17063,c_17082,c_17147,c_17161]) ).
tcf(c_18376,plain,
( aElementOf0(sK36,stldt0(xB))
| ~ aElementOf0(sK36,xB) ),
inference(superposition,[status(thm)],[c_18367,c_17660]) ).
tcf(c_18480,plain,
aElementOf0(sK36,stldt0(xB)),
inference(global_subsumption_just,[status(thm)],[c_18376,c_3351,c_17063,c_17082,c_17147,c_17161,c_18323,c_18376]) ).
tcf(c_18484,plain,
~ aElementOf0(sK36,xB),
inference(superposition,[status(thm)],[c_18480,c_195]) ).
tcf(c_18489,plain,
aElementOf0(sK36,sdtbsmnsldt0(xA,xB)),
inference(global_subsumption_just,[status(thm)],[c_18302,c_17441,c_18301,c_18480]) ).
tcf(c_18593,plain,
! [X0: $i] :
( aElementOf0(X0,xB)
| aElementOf0(X0,xA)
| ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB)) ),
inference(global_subsumption_just,[status(thm)],[c_3388,c_3388,c_17063,c_17082,c_17147,c_17161]) ).
tcf(c_18607,plain,
( aElementOf0(sK36,xB)
| aElementOf0(sK36,xA) ),
inference(superposition,[status(thm)],[c_18489,c_18593]) ).
tcf(c_18608,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_18607,c_18484,c_18299]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM440+6 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/5.35 % Computer : n026.cluster.edu
% 0.09/5.35 % Model : x86_64 x86_64
% 0.09/5.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.35 % Memory : 8046.5625MB
% 0.09/5.35 % OS : Linux 6.8.0-71-generic
% 0.09/5.35 % CPULimit : 300
% 0.09/5.35 % WCLimit : 300
% 0.09/5.35 % DateTime : Thu Sep 24 04:02:59 UTC 2026
% 0.09/5.36 % CPUTime :
% 0.09/5.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/5.39 Running first-order theorem proving
% 0.09/5.39 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/5.40
% 0.13/5.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/5.40
% 0.13/5.40 % Detected problem language: tptp
% 0.13/5.41 % Proving...
% 8.05/6.73 % SZS status Started for theBenchmark.p
% 8.05/6.73 % SZS status Theorem for theBenchmark.p
% 8.05/6.73
% 8.05/6.73 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 8.05/6.73
% 8.05/6.73 % ------ iProver source info
% 8.05/6.73
% 8.05/6.73 % git: date: 2026-07-19 20:42:38 +0200
% 8.05/6.73 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 8.05/6.73 % git: non_committed_changes: false
% 8.05/6.73
% 8.05/6.73 % ------ Parsing...
% 8.05/6.73 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 8.05/6.73
% 8.05/6.73 % ------ Preprocessing... sup_sim: 0 sf_s rm: 5 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe_e %
% 8.05/6.73
% 8.05/6.73 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 8.05/6.73
% 8.05/6.73 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 8.05/6.73 % ------ Proving...
% 8.05/6.73 % ------ Problem Properties
% 8.05/6.73
% 8.05/6.73 %
% 8.05/6.73 % clauses 165
% 8.05/6.73 % conjectures 3
% 8.05/6.73 % EPR 37
% 8.05/6.73 % Horn 120
% 8.05/6.73 % unary 12
% 8.05/6.73 % binary 41
% 8.05/6.73 % lits 543
% 8.05/6.73 % lits eq 60
% 8.05/6.73 % fd_pure 0
% 8.05/6.73 % fd_pseudo 0
% 8.05/6.73 % fd_cond 16
% 8.05/6.73 % fd_pseudo_cond 9
% 8.05/6.73 % AC symbols 0
% 8.05/6.73
% 8.05/6.73 % ------ Schedule dynamic 5 is on
% 8.05/6.73
% 8.05/6.73 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.05/6.73
% 8.05/6.73
% 8.05/6.73 % ------
% 8.05/6.73 % Current options:
% 8.05/6.73 % ------
% 8.05/6.73
% 8.05/6.73
% 8.05/6.73 %
% 8.05/6.73
% 8.05/6.73 % ------ Proving...
% 8.05/6.73 %
% 8.05/6.73
% 8.05/6.73 % SZS status Theorem for theBenchmark.p
% 8.05/6.73
% 8.05/6.73 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.05/6.73
% 8.05/6.73
%------------------------------------------------------------------------------