%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM439+6 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 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 : Tue Sep 29 12:15:11 PM UTC 2026
% Result : Theorem 14.43s 3.33s
% Output : Refutation 17.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 23
% Syntax : Number of formulae : 230 ( 25 unt; 16 def)
% Number of atoms : 1740 ( 220 equ)
% Maximal formula atoms : 64 ( 7 avg)
% Number of connectives : 2240 ( 730 ~; 788 |; 622 &)
% ( 52 <=>; 48 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 11 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 7 con; 0-3 aty)
% Number of variables : 423 ( 0 sgn 361 !; 62 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0,X1] :
( ( aInteger0(X0)
& aInteger0(X1) )
=> aInteger0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntMult) ).
fof(f17,axiom,
! [X0,X1] :
( ( aInteger0(X0)
& aInteger0(X1) )
=> ( sdtasdt0(X0,X1) = sz00
=> ( X0 = sz00
| X1 = sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroDiv) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( ( aInteger0(X0)
& aInteger0(X1)
& aInteger0(X2)
& X2 != sz00
& aInteger0(X3)
& X3 != sz00 )
=> ( sdteqdtlpzmzozddtrp0(X0,X1,sdtasdt0(X2,X3))
=> ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
& sdteqdtlpzmzozddtrp0(X0,X1,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEquModMul) ).
fof(f33,axiom,
! [X0] :
( aSubsetOf0(X0,cS1395)
=> ! [X1] :
( X1 = stldt0(X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
<=> ( aInteger0(X2)
& ~ aElementOf0(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mComplement) ).
fof(f34,axiom,
! [X0,X1] :
( ( aInteger0(X0)
& aInteger0(X1)
& X1 != sz00 )
=> ! [X2] :
( X2 = szAzrzSzezqlpdtcmdtrp0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aInteger0(X3)
& sdteqdtlpzmzozddtrp0(X3,X0,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mArSeq) ).
fof(f39,axiom,
( aSet0(cS1395)
& ! [X0] :
( aElementOf0(X0,cS1395)
<=> aInteger0(X0) )
& aSet0(xA)
& ! [X0] :
( aElementOf0(X0,xA)
=> aElementOf0(X0,cS1395) )
& aSubsetOf0(xA,cS1395)
& aSet0(cS1395)
& ! [X0] :
( aElementOf0(X0,cS1395)
<=> aInteger0(X0) )
& aSet0(xB)
& ! [X0] :
( aElementOf0(X0,xB)
=> aElementOf0(X0,cS1395) )
& aSubsetOf0(xB,cS1395)
& aSet0(stldt0(xA))
& ! [X0] :
( aElementOf0(X0,stldt0(xA))
<=> ( aInteger0(X0)
& ~ aElementOf0(X0,xA) ) )
& ! [X0] :
( aElementOf0(X0,stldt0(xA))
=> ? [X1] :
( aInteger0(X1)
& X1 != sz00
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> ( aInteger0(X2)
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0)) )
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
& sdteqdtlpzmzozddtrp0(X2,X0,X1) ) )
& ( ( aInteger0(X2)
& ( ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0)) )
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
| sdteqdtlpzmzozddtrp0(X2,X0,X1) ) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) )
& ! [X2] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> aElementOf0(X2,stldt0(xA)) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(xA)) ) )
& isOpen0(stldt0(xA))
& isClosed0(xA)
& aSet0(stldt0(xB))
& ! [X0] :
( aElementOf0(X0,stldt0(xB))
<=> ( aInteger0(X0)
& ~ aElementOf0(X0,xB) ) )
& ! [X0] :
( aElementOf0(X0,stldt0(xB))
=> ? [X1] :
( aInteger0(X1)
& X1 != sz00
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> ( aInteger0(X2)
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0)) )
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
& sdteqdtlpzmzozddtrp0(X2,X0,X1) ) )
& ( ( aInteger0(X2)
& ( ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0)) )
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
| sdteqdtlpzmzozddtrp0(X2,X0,X1) ) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) )
& ! [X2] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> aElementOf0(X2,stldt0(xB)) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(xB)) ) )
& isOpen0(stldt0(xB))
& isClosed0(xB) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1826) ).
fof(f40,conjecture,
( ( aSet0(sdtbsmnsldt0(xA,xB))
& ! [X0] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
<=> ( aInteger0(X0)
& ( aElementOf0(X0,xA)
| aElementOf0(X0,xB) ) ) ) )
=> ( ( ( aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X0] :
( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( aInteger0(X0)
& ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB)) ) ) )
=> ( ! [X0] :
( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
=> ? [X1] :
( aInteger0(X1)
& X1 != sz00
& ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> ( aInteger0(X2)
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0)) )
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
& sdteqdtlpzmzozddtrp0(X2,X0,X1) ) )
& ( ( aInteger0(X2)
& ( ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0)) )
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
| sdteqdtlpzmzozddtrp0(X2,X0,X1) ) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) ) )
=> ( ! [X2] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB))) )
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(sdtbsmnsldt0(xA,xB))) ) ) ) )
| isOpen0(stldt0(sdtbsmnsldt0(xA,xB))) ) )
| isClosed0(sdtbsmnsldt0(xA,xB)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f41,negated_conjecture,
~ ( ( aSet0(sdtbsmnsldt0(xA,xB))
& ! [X0] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
<=> ( aInteger0(X0)
& ( aElementOf0(X0,xA)
| aElementOf0(X0,xB) ) ) ) )
=> ( ( ( aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X0] :
( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( aInteger0(X0)
& ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB)) ) ) )
=> ( ! [X0] :
( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
=> ? [X1] :
( aInteger0(X1)
& X1 != sz00
& ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> ( aInteger0(X2)
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0)) )
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
& sdteqdtlpzmzozddtrp0(X2,X0,X1) ) )
& ( ( aInteger0(X2)
& ( ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0)) )
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
| sdteqdtlpzmzozddtrp0(X2,X0,X1) ) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) ) )
=> ( ! [X2] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB))) )
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(sdtbsmnsldt0(xA,xB))) ) ) ) )
| isOpen0(stldt0(sdtbsmnsldt0(xA,xB))) ) )
| isClosed0(sdtbsmnsldt0(xA,xB)) ) ),
inference(negated_conjecture,[status(cth)],[f40]) ).
fof(f48,plain,
( aSet0(cS1395)
& ! [X0] :
( aElementOf0(X0,cS1395)
<=> aInteger0(X0) )
& aSet0(xA)
& ! [X1] :
( aElementOf0(X1,xA)
=> aElementOf0(X1,cS1395) )
& aSubsetOf0(xA,cS1395)
& aSet0(cS1395)
& ! [X2] :
( aElementOf0(X2,cS1395)
<=> aInteger0(X2) )
& aSet0(xB)
& ! [X3] :
( aElementOf0(X3,xB)
=> aElementOf0(X3,cS1395) )
& aSubsetOf0(xB,cS1395)
& aSet0(stldt0(xA))
& ! [X4] :
( aElementOf0(X4,stldt0(xA))
<=> ( aInteger0(X4)
& ~ aElementOf0(X4,xA) ) )
& ! [X5] :
( aElementOf0(X5,stldt0(xA))
=> ? [X6] :
( aInteger0(X6)
& sz00 != X6
& aSet0(szAzrzSzezqlpdtcmdtrp0(X5,X6))
& ! [X7] :
( ( aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X5,X6))
=> ( aInteger0(X7)
& ? [X8] :
( aInteger0(X8)
& sdtasdt0(X6,X8) = sdtpldt0(X7,smndt0(X5)) )
& aDivisorOf0(X6,sdtpldt0(X7,smndt0(X5)))
& sdteqdtlpzmzozddtrp0(X7,X5,X6) ) )
& ( ( aInteger0(X7)
& ( ? [X9] :
( aInteger0(X9)
& sdtpldt0(X7,smndt0(X5)) = sdtasdt0(X6,X9) )
| aDivisorOf0(X6,sdtpldt0(X7,smndt0(X5)))
| sdteqdtlpzmzozddtrp0(X7,X5,X6) ) )
=> aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X5,X6)) ) )
& ! [X10] :
( aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(X5,X6))
=> aElementOf0(X10,stldt0(xA)) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X5,X6),stldt0(xA)) ) )
& isOpen0(stldt0(xA))
& isClosed0(xA)
& aSet0(stldt0(xB))
& ! [X11] :
( aElementOf0(X11,stldt0(xB))
<=> ( aInteger0(X11)
& ~ aElementOf0(X11,xB) ) )
& ! [X12] :
( aElementOf0(X12,stldt0(xB))
=> ? [X13] :
( aInteger0(X13)
& sz00 != X13
& aSet0(szAzrzSzezqlpdtcmdtrp0(X12,X13))
& ! [X14] :
( ( aElementOf0(X14,szAzrzSzezqlpdtcmdtrp0(X12,X13))
=> ( aInteger0(X14)
& ? [X15] :
( aInteger0(X15)
& sdtasdt0(X13,X15) = sdtpldt0(X14,smndt0(X12)) )
& aDivisorOf0(X13,sdtpldt0(X14,smndt0(X12)))
& sdteqdtlpzmzozddtrp0(X14,X12,X13) ) )
& ( ( aInteger0(X14)
& ( ? [X16] :
( aInteger0(X16)
& sdtpldt0(X14,smndt0(X12)) = sdtasdt0(X13,X16) )
| aDivisorOf0(X13,sdtpldt0(X14,smndt0(X12)))
| sdteqdtlpzmzozddtrp0(X14,X12,X13) ) )
=> aElementOf0(X14,szAzrzSzezqlpdtcmdtrp0(X12,X13)) ) )
& ! [X17] :
( aElementOf0(X17,szAzrzSzezqlpdtcmdtrp0(X12,X13))
=> aElementOf0(X17,stldt0(xB)) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X12,X13),stldt0(xB)) ) )
& isOpen0(stldt0(xB))
& isClosed0(xB) ),
inference(rectify,[],[f39]) ).
fof(f49,plain,
~ ( ( aSet0(sdtbsmnsldt0(xA,xB))
& ! [X0] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
<=> ( aInteger0(X0)
& ( aElementOf0(X0,xA)
| aElementOf0(X0,xB) ) ) ) )
=> ( ( ( aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X1] :
( aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB)) ) ) )
=> ( ! [X2] :
( aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB)))
=> ? [X3] :
( aInteger0(X3)
& sz00 != X3
& ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3))
& ! [X4] :
( ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3))
=> ( aInteger0(X4)
& ? [X5] :
( aInteger0(X5)
& sdtasdt0(X3,X5) = sdtpldt0(X4,smndt0(X2)) )
& aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& sdteqdtlpzmzozddtrp0(X4,X2,X3) ) )
& ( ( aInteger0(X4)
& ( ? [X6] :
( aInteger0(X6)
& sdtpldt0(X4,smndt0(X2)) = sdtasdt0(X3,X6) )
| aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
| sdteqdtlpzmzozddtrp0(X4,X2,X3) ) )
=> aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3)) ) ) )
=> ( ! [X7] :
( aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X2,X3))
=> aElementOf0(X7,stldt0(sdtbsmnsldt0(xA,xB))) )
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),stldt0(sdtbsmnsldt0(xA,xB))) ) ) ) )
| isOpen0(stldt0(sdtbsmnsldt0(xA,xB))) ) )
| isClosed0(sdtbsmnsldt0(xA,xB)) ) ),
inference(rectify,[],[f41]) ).
fof(f53,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f54,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(flattening,[],[f53]) ).
fof(f70,plain,
! [X0,X1] :
( X0 = sz00
| X1 = sz00
| sz00 != sdtasdt0(X0,X1)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f71,plain,
! [X0,X1] :
( X0 = sz00
| X1 = sz00
| sz00 != sdtasdt0(X0,X1)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(flattening,[],[f70]) ).
fof(f81,plain,
! [X0,X1,X2,X3] :
( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
& sdteqdtlpzmzozddtrp0(X0,X1,X3) )
| ~ sdteqdtlpzmzozddtrp0(X0,X1,sdtasdt0(X2,X3))
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sz00 = X2
| ~ aInteger0(X3)
| sz00 = X3 ),
inference(ennf_transformation,[],[f23]) ).
fof(f82,plain,
! [X0,X1,X2,X3] :
( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
& sdteqdtlpzmzozddtrp0(X0,X1,X3) )
| ~ sdteqdtlpzmzozddtrp0(X0,X1,sdtasdt0(X2,X3))
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sz00 = X2
| ~ aInteger0(X3)
| sz00 = X3 ),
inference(flattening,[],[f81]) ).
fof(f91,plain,
! [X0] :
( ! [X1] :
( X1 = stldt0(X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
<=> ( aInteger0(X2)
& ~ aElementOf0(X2,X0) ) ) ) )
| ~ aSubsetOf0(X0,cS1395) ),
inference(ennf_transformation,[],[f33]) ).
fof(f92,plain,
! [X0,X1] :
( ! [X2] :
( X2 = szAzrzSzezqlpdtcmdtrp0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aInteger0(X3)
& sdteqdtlpzmzozddtrp0(X3,X0,X1) ) ) ) )
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(ennf_transformation,[],[f34]) ).
fof(f93,plain,
! [X0,X1] :
( ! [X2] :
( X2 = szAzrzSzezqlpdtcmdtrp0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aInteger0(X3)
& sdteqdtlpzmzozddtrp0(X3,X0,X1) ) ) ) )
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(flattening,[],[f92]) ).
fof(f100,plain,
( aSet0(cS1395)
& ! [X0] :
( aElementOf0(X0,cS1395)
<=> aInteger0(X0) )
& aSet0(xA)
& ! [X1] :
( aElementOf0(X1,cS1395)
| ~ aElementOf0(X1,xA) )
& aSubsetOf0(xA,cS1395)
& aSet0(cS1395)
& ! [X2] :
( aElementOf0(X2,cS1395)
<=> aInteger0(X2) )
& aSet0(xB)
& ! [X3] :
( aElementOf0(X3,cS1395)
| ~ aElementOf0(X3,xB) )
& aSubsetOf0(xB,cS1395)
& aSet0(stldt0(xA))
& ! [X4] :
( aElementOf0(X4,stldt0(xA))
<=> ( aInteger0(X4)
& ~ aElementOf0(X4,xA) ) )
& ! [X5] :
( ? [X6] :
( aInteger0(X6)
& sz00 != X6
& aSet0(szAzrzSzezqlpdtcmdtrp0(X5,X6))
& ! [X7] :
( ( ( aInteger0(X7)
& ? [X8] :
( aInteger0(X8)
& sdtasdt0(X6,X8) = sdtpldt0(X7,smndt0(X5)) )
& aDivisorOf0(X6,sdtpldt0(X7,smndt0(X5)))
& sdteqdtlpzmzozddtrp0(X7,X5,X6) )
| ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X5,X6)) )
& ( aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X5,X6))
| ~ aInteger0(X7)
| ( ! [X9] :
( ~ aInteger0(X9)
| sdtpldt0(X7,smndt0(X5)) != sdtasdt0(X6,X9) )
& ~ aDivisorOf0(X6,sdtpldt0(X7,smndt0(X5)))
& ~ sdteqdtlpzmzozddtrp0(X7,X5,X6) ) ) )
& ! [X10] :
( aElementOf0(X10,stldt0(xA))
| ~ aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(X5,X6)) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X5,X6),stldt0(xA)) )
| ~ aElementOf0(X5,stldt0(xA)) )
& isOpen0(stldt0(xA))
& isClosed0(xA)
& aSet0(stldt0(xB))
& ! [X11] :
( aElementOf0(X11,stldt0(xB))
<=> ( aInteger0(X11)
& ~ aElementOf0(X11,xB) ) )
& ! [X12] :
( ? [X13] :
( aInteger0(X13)
& sz00 != X13
& aSet0(szAzrzSzezqlpdtcmdtrp0(X12,X13))
& ! [X14] :
( ( ( aInteger0(X14)
& ? [X15] :
( aInteger0(X15)
& sdtasdt0(X13,X15) = sdtpldt0(X14,smndt0(X12)) )
& aDivisorOf0(X13,sdtpldt0(X14,smndt0(X12)))
& sdteqdtlpzmzozddtrp0(X14,X12,X13) )
| ~ aElementOf0(X14,szAzrzSzezqlpdtcmdtrp0(X12,X13)) )
& ( aElementOf0(X14,szAzrzSzezqlpdtcmdtrp0(X12,X13))
| ~ aInteger0(X14)
| ( ! [X16] :
( ~ aInteger0(X16)
| sdtpldt0(X14,smndt0(X12)) != sdtasdt0(X13,X16) )
& ~ aDivisorOf0(X13,sdtpldt0(X14,smndt0(X12)))
& ~ sdteqdtlpzmzozddtrp0(X14,X12,X13) ) ) )
& ! [X17] :
( aElementOf0(X17,stldt0(xB))
| ~ aElementOf0(X17,szAzrzSzezqlpdtcmdtrp0(X12,X13)) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X12,X13),stldt0(xB)) )
| ~ aElementOf0(X12,stldt0(xB)) )
& isOpen0(stldt0(xB))
& isClosed0(xB) ),
inference(ennf_transformation,[],[f48]) ).
fof(f101,plain,
( aSet0(cS1395)
& ! [X0] :
( aElementOf0(X0,cS1395)
<=> aInteger0(X0) )
& aSet0(xA)
& ! [X1] :
( aElementOf0(X1,cS1395)
| ~ aElementOf0(X1,xA) )
& aSubsetOf0(xA,cS1395)
& aSet0(cS1395)
& ! [X2] :
( aElementOf0(X2,cS1395)
<=> aInteger0(X2) )
& aSet0(xB)
& ! [X3] :
( aElementOf0(X3,cS1395)
| ~ aElementOf0(X3,xB) )
& aSubsetOf0(xB,cS1395)
& aSet0(stldt0(xA))
& ! [X4] :
( aElementOf0(X4,stldt0(xA))
<=> ( aInteger0(X4)
& ~ aElementOf0(X4,xA) ) )
& ! [X5] :
( ? [X6] :
( aInteger0(X6)
& sz00 != X6
& aSet0(szAzrzSzezqlpdtcmdtrp0(X5,X6))
& ! [X7] :
( ( ( aInteger0(X7)
& ? [X8] :
( aInteger0(X8)
& sdtasdt0(X6,X8) = sdtpldt0(X7,smndt0(X5)) )
& aDivisorOf0(X6,sdtpldt0(X7,smndt0(X5)))
& sdteqdtlpzmzozddtrp0(X7,X5,X6) )
| ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X5,X6)) )
& ( aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X5,X6))
| ~ aInteger0(X7)
| ( ! [X9] :
( ~ aInteger0(X9)
| sdtpldt0(X7,smndt0(X5)) != sdtasdt0(X6,X9) )
& ~ aDivisorOf0(X6,sdtpldt0(X7,smndt0(X5)))
& ~ sdteqdtlpzmzozddtrp0(X7,X5,X6) ) ) )
& ! [X10] :
( aElementOf0(X10,stldt0(xA))
| ~ aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(X5,X6)) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X5,X6),stldt0(xA)) )
| ~ aElementOf0(X5,stldt0(xA)) )
& isOpen0(stldt0(xA))
& isClosed0(xA)
& aSet0(stldt0(xB))
& ! [X11] :
( aElementOf0(X11,stldt0(xB))
<=> ( aInteger0(X11)
& ~ aElementOf0(X11,xB) ) )
& ! [X12] :
( ? [X13] :
( aInteger0(X13)
& sz00 != X13
& aSet0(szAzrzSzezqlpdtcmdtrp0(X12,X13))
& ! [X14] :
( ( ( aInteger0(X14)
& ? [X15] :
( aInteger0(X15)
& sdtasdt0(X13,X15) = sdtpldt0(X14,smndt0(X12)) )
& aDivisorOf0(X13,sdtpldt0(X14,smndt0(X12)))
& sdteqdtlpzmzozddtrp0(X14,X12,X13) )
| ~ aElementOf0(X14,szAzrzSzezqlpdtcmdtrp0(X12,X13)) )
& ( aElementOf0(X14,szAzrzSzezqlpdtcmdtrp0(X12,X13))
| ~ aInteger0(X14)
| ( ! [X16] :
( ~ aInteger0(X16)
| sdtpldt0(X14,smndt0(X12)) != sdtasdt0(X13,X16) )
& ~ aDivisorOf0(X13,sdtpldt0(X14,smndt0(X12)))
& ~ sdteqdtlpzmzozddtrp0(X14,X12,X13) ) ) )
& ! [X17] :
( aElementOf0(X17,stldt0(xB))
| ~ aElementOf0(X17,szAzrzSzezqlpdtcmdtrp0(X12,X13)) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X12,X13),stldt0(xB)) )
| ~ aElementOf0(X12,stldt0(xB)) )
& isOpen0(stldt0(xB))
& isClosed0(xB) ),
inference(flattening,[],[f100]) ).
fof(f102,plain,
( ? [X2] :
( ! [X3] :
( ~ aInteger0(X3)
| sz00 = X3
| ( ? [X7] :
( ~ aElementOf0(X7,stldt0(sdtbsmnsldt0(xA,xB)))
& aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),stldt0(sdtbsmnsldt0(xA,xB)))
& aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3))
& ! [X4] :
( ( ( aInteger0(X4)
& ? [X5] :
( aInteger0(X5)
& sdtasdt0(X3,X5) = sdtpldt0(X4,smndt0(X2)) )
& aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& sdteqdtlpzmzozddtrp0(X4,X2,X3) )
| ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
& ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3))
| ~ aInteger0(X4)
| ( ! [X6] :
( ~ aInteger0(X6)
| sdtpldt0(X4,smndt0(X2)) != sdtasdt0(X3,X6) )
& ~ aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& ~ sdteqdtlpzmzozddtrp0(X4,X2,X3) ) ) ) ) )
& aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB))) )
& ~ isOpen0(stldt0(sdtbsmnsldt0(xA,xB)))
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X1] :
( aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB)) ) )
& ~ isClosed0(sdtbsmnsldt0(xA,xB))
& aSet0(sdtbsmnsldt0(xA,xB))
& ! [X0] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
<=> ( aInteger0(X0)
& ( aElementOf0(X0,xA)
| aElementOf0(X0,xB) ) ) ) ),
inference(ennf_transformation,[],[f49]) ).
fof(f103,plain,
( ? [X2] :
( ! [X3] :
( ~ aInteger0(X3)
| sz00 = X3
| ( ? [X7] :
( ~ aElementOf0(X7,stldt0(sdtbsmnsldt0(xA,xB)))
& aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),stldt0(sdtbsmnsldt0(xA,xB)))
& aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3))
& ! [X4] :
( ( ( aInteger0(X4)
& ? [X5] :
( aInteger0(X5)
& sdtasdt0(X3,X5) = sdtpldt0(X4,smndt0(X2)) )
& aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& sdteqdtlpzmzozddtrp0(X4,X2,X3) )
| ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
& ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3))
| ~ aInteger0(X4)
| ( ! [X6] :
( ~ aInteger0(X6)
| sdtpldt0(X4,smndt0(X2)) != sdtasdt0(X3,X6) )
& ~ aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& ~ sdteqdtlpzmzozddtrp0(X4,X2,X3) ) ) ) ) )
& aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB))) )
& ~ isOpen0(stldt0(sdtbsmnsldt0(xA,xB)))
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X1] :
( aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB)) ) )
& ~ isClosed0(sdtbsmnsldt0(xA,xB))
& aSet0(sdtbsmnsldt0(xA,xB))
& ! [X0] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
<=> ( aInteger0(X0)
& ( aElementOf0(X0,xA)
| aElementOf0(X0,xB) ) ) ) ),
inference(flattening,[],[f102]) ).
fof(f113,definition,
! [X12,X13] :
( ! [X14] :
( ( ( aInteger0(X14)
& ? [X15] :
( aInteger0(X15)
& sdtasdt0(X13,X15) = sdtpldt0(X14,smndt0(X12)) )
& aDivisorOf0(X13,sdtpldt0(X14,smndt0(X12)))
& sdteqdtlpzmzozddtrp0(X14,X12,X13) )
| ~ aElementOf0(X14,szAzrzSzezqlpdtcmdtrp0(X12,X13)) )
& ( aElementOf0(X14,szAzrzSzezqlpdtcmdtrp0(X12,X13))
| ~ aInteger0(X14)
| ( ! [X16] :
( ~ aInteger0(X16)
| sdtpldt0(X14,smndt0(X12)) != sdtasdt0(X13,X16) )
& ~ aDivisorOf0(X13,sdtpldt0(X14,smndt0(X12)))
& ~ sdteqdtlpzmzozddtrp0(X14,X12,X13) ) ) )
| ~ sP6(X12,X13) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f114,definition,
! [X5,X6] :
( ! [X7] :
( ( ( aInteger0(X7)
& ? [X8] :
( aInteger0(X8)
& sdtasdt0(X6,X8) = sdtpldt0(X7,smndt0(X5)) )
& aDivisorOf0(X6,sdtpldt0(X7,smndt0(X5)))
& sdteqdtlpzmzozddtrp0(X7,X5,X6) )
| ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X5,X6)) )
& ( aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X5,X6))
| ~ aInteger0(X7)
| ( ! [X9] :
( ~ aInteger0(X9)
| sdtpldt0(X7,smndt0(X5)) != sdtasdt0(X6,X9) )
& ~ aDivisorOf0(X6,sdtpldt0(X7,smndt0(X5)))
& ~ sdteqdtlpzmzozddtrp0(X7,X5,X6) ) ) )
| ~ sP7(X5,X6) ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f115,plain,
( aSet0(cS1395)
& ! [X0] :
( aElementOf0(X0,cS1395)
<=> aInteger0(X0) )
& aSet0(xA)
& ! [X1] :
( aElementOf0(X1,cS1395)
| ~ aElementOf0(X1,xA) )
& aSubsetOf0(xA,cS1395)
& aSet0(cS1395)
& ! [X2] :
( aElementOf0(X2,cS1395)
<=> aInteger0(X2) )
& aSet0(xB)
& ! [X3] :
( aElementOf0(X3,cS1395)
| ~ aElementOf0(X3,xB) )
& aSubsetOf0(xB,cS1395)
& aSet0(stldt0(xA))
& ! [X4] :
( aElementOf0(X4,stldt0(xA))
<=> ( aInteger0(X4)
& ~ aElementOf0(X4,xA) ) )
& ! [X5] :
( ? [X6] :
( aInteger0(X6)
& sz00 != X6
& aSet0(szAzrzSzezqlpdtcmdtrp0(X5,X6))
& sP7(X5,X6)
& ! [X10] :
( aElementOf0(X10,stldt0(xA))
| ~ aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(X5,X6)) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X5,X6),stldt0(xA)) )
| ~ aElementOf0(X5,stldt0(xA)) )
& isOpen0(stldt0(xA))
& isClosed0(xA)
& aSet0(stldt0(xB))
& ! [X11] :
( aElementOf0(X11,stldt0(xB))
<=> ( aInteger0(X11)
& ~ aElementOf0(X11,xB) ) )
& ! [X12] :
( ? [X13] :
( aInteger0(X13)
& sz00 != X13
& aSet0(szAzrzSzezqlpdtcmdtrp0(X12,X13))
& sP6(X12,X13)
& ! [X17] :
( aElementOf0(X17,stldt0(xB))
| ~ aElementOf0(X17,szAzrzSzezqlpdtcmdtrp0(X12,X13)) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X12,X13),stldt0(xB)) )
| ~ aElementOf0(X12,stldt0(xB)) )
& isOpen0(stldt0(xB))
& isClosed0(xB) ),
inference(definition_folding,[],[f101,f114,f113]) ).
fof(f116,definition,
! [X2,X3] :
( ! [X4] :
( ( ( aInteger0(X4)
& ? [X5] :
( aInteger0(X5)
& sdtasdt0(X3,X5) = sdtpldt0(X4,smndt0(X2)) )
& aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& sdteqdtlpzmzozddtrp0(X4,X2,X3) )
| ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
& ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3))
| ~ aInteger0(X4)
| ( ! [X6] :
( ~ aInteger0(X6)
| sdtpldt0(X4,smndt0(X2)) != sdtasdt0(X3,X6) )
& ~ aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& ~ sdteqdtlpzmzozddtrp0(X4,X2,X3) ) ) )
| ~ sP8(X2,X3) ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f117,plain,
( ? [X2] :
( ! [X3] :
( ~ aInteger0(X3)
| sz00 = X3
| ( ? [X7] :
( ~ aElementOf0(X7,stldt0(sdtbsmnsldt0(xA,xB)))
& aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),stldt0(sdtbsmnsldt0(xA,xB)))
& aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3))
& sP8(X2,X3) ) )
& aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB))) )
& ~ isOpen0(stldt0(sdtbsmnsldt0(xA,xB)))
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X1] :
( aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB)) ) )
& ~ isClosed0(sdtbsmnsldt0(xA,xB))
& aSet0(sdtbsmnsldt0(xA,xB))
& ! [X0] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
<=> ( aInteger0(X0)
& ( aElementOf0(X0,xA)
| aElementOf0(X0,xB) ) ) ) ),
inference(definition_folding,[],[f103,f116]) ).
fof(f150,plain,
! [X0] :
( ! [X1] :
( ( X1 = stldt0(X0)
| ~ aSet0(X1)
| ? [X2] :
( ( ~ aInteger0(X2)
| aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& ( ( aInteger0(X2)
& ~ aElementOf0(X2,X0) )
| aElementOf0(X2,X1) ) ) )
& ( ( aSet0(X1)
& ! [X2] :
( ( aElementOf0(X2,X1)
| ~ aInteger0(X2)
| aElementOf0(X2,X0) )
& ( ( aInteger0(X2)
& ~ aElementOf0(X2,X0) )
| ~ aElementOf0(X2,X1) ) ) )
| stldt0(X0) != X1 ) )
| ~ aSubsetOf0(X0,cS1395) ),
inference(nnf_transformation,[],[f91]) ).
fof(f151,plain,
! [X0] :
( ! [X1] :
( ( X1 = stldt0(X0)
| ~ aSet0(X1)
| ? [X2] :
( ( ~ aInteger0(X2)
| aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& ( ( aInteger0(X2)
& ~ aElementOf0(X2,X0) )
| aElementOf0(X2,X1) ) ) )
& ( ( aSet0(X1)
& ! [X2] :
( ( aElementOf0(X2,X1)
| ~ aInteger0(X2)
| aElementOf0(X2,X0) )
& ( ( aInteger0(X2)
& ~ aElementOf0(X2,X0) )
| ~ aElementOf0(X2,X1) ) ) )
| stldt0(X0) != X1 ) )
| ~ aSubsetOf0(X0,cS1395) ),
inference(flattening,[],[f150]) ).
fof(f152,plain,
! [X0] :
( ! [X1] :
( ( X1 = stldt0(X0)
| ~ aSet0(X1)
| ? [X2] :
( ( ~ aInteger0(X2)
| aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& ( ( aInteger0(X2)
& ~ aElementOf0(X2,X0) )
| aElementOf0(X2,X1) ) ) )
& ( ( aSet0(X1)
& ! [X3] :
( ( aElementOf0(X3,X1)
| ~ aInteger0(X3)
| aElementOf0(X3,X0) )
& ( ( aInteger0(X3)
& ~ aElementOf0(X3,X0) )
| ~ aElementOf0(X3,X1) ) ) )
| stldt0(X0) != X1 ) )
| ~ aSubsetOf0(X0,cS1395) ),
inference(rectify,[],[f151]) ).
fof(f153,plain,
! [X0] :
( ! [X1] :
( ( X1 = stldt0(X0)
| ~ aSet0(X1)
| ( ( ~ aInteger0(sK18(X0,X1))
| aElementOf0(sK18(X0,X1),X0)
| ~ aElementOf0(sK18(X0,X1),X1) )
& ( ( aInteger0(sK18(X0,X1))
& ~ aElementOf0(sK18(X0,X1),X0) )
| aElementOf0(sK18(X0,X1),X1) ) ) )
& ( ( aSet0(X1)
& ! [X3] :
( ( aElementOf0(X3,X1)
| ~ aInteger0(X3)
| aElementOf0(X3,X0) )
& ( ( aInteger0(X3)
& ~ aElementOf0(X3,X0) )
| ~ aElementOf0(X3,X1) ) ) )
| stldt0(X0) != X1 ) )
| ~ aSubsetOf0(X0,cS1395) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(X2,sK18(X0,X1))],[f152]) ).
fof(f154,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = szAzrzSzezqlpdtcmdtrp0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
| ~ aElementOf0(X3,X2) )
& ( ( aInteger0(X3)
& sdteqdtlpzmzozddtrp0(X3,X0,X1) )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X3,X0,X1) )
& ( ( aInteger0(X3)
& sdteqdtlpzmzozddtrp0(X3,X0,X1) )
| ~ aElementOf0(X3,X2) ) ) )
| szAzrzSzezqlpdtcmdtrp0(X0,X1) != X2 ) )
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(nnf_transformation,[],[f93]) ).
fof(f155,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = szAzrzSzezqlpdtcmdtrp0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
| ~ aElementOf0(X3,X2) )
& ( ( aInteger0(X3)
& sdteqdtlpzmzozddtrp0(X3,X0,X1) )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X3,X0,X1) )
& ( ( aInteger0(X3)
& sdteqdtlpzmzozddtrp0(X3,X0,X1) )
| ~ aElementOf0(X3,X2) ) ) )
| szAzrzSzezqlpdtcmdtrp0(X0,X1) != X2 ) )
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(flattening,[],[f154]) ).
fof(f156,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = szAzrzSzezqlpdtcmdtrp0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
| ~ aElementOf0(X3,X2) )
& ( ( aInteger0(X3)
& sdteqdtlpzmzozddtrp0(X3,X0,X1) )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aInteger0(X4)
| ~ sdteqdtlpzmzozddtrp0(X4,X0,X1) )
& ( ( aInteger0(X4)
& sdteqdtlpzmzozddtrp0(X4,X0,X1) )
| ~ aElementOf0(X4,X2) ) ) )
| szAzrzSzezqlpdtcmdtrp0(X0,X1) != X2 ) )
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(rectify,[],[f155]) ).
fof(f157,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = szAzrzSzezqlpdtcmdtrp0(X0,X1)
| ~ aSet0(X2)
| ( ( ~ aInteger0(sK19(X0,X1,X2))
| ~ sdteqdtlpzmzozddtrp0(sK19(X0,X1,X2),X0,X1)
| ~ aElementOf0(sK19(X0,X1,X2),X2) )
& ( ( aInteger0(sK19(X0,X1,X2))
& sdteqdtlpzmzozddtrp0(sK19(X0,X1,X2),X0,X1) )
| aElementOf0(sK19(X0,X1,X2),X2) ) ) )
& ( ( aSet0(X2)
& ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aInteger0(X4)
| ~ sdteqdtlpzmzozddtrp0(X4,X0,X1) )
& ( ( aInteger0(X4)
& sdteqdtlpzmzozddtrp0(X4,X0,X1) )
| ~ aElementOf0(X4,X2) ) ) )
| szAzrzSzezqlpdtcmdtrp0(X0,X1) != X2 ) )
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(X3,sK19(X0,X1,X2))],[f156]) ).
fof(f169,plain,
( aSet0(cS1395)
& ! [X0] :
( ( aElementOf0(X0,cS1395)
| ~ aInteger0(X0) )
& ( aInteger0(X0)
| ~ aElementOf0(X0,cS1395) ) )
& aSet0(xA)
& ! [X1] :
( aElementOf0(X1,cS1395)
| ~ aElementOf0(X1,xA) )
& aSubsetOf0(xA,cS1395)
& aSet0(cS1395)
& ! [X2] :
( ( aElementOf0(X2,cS1395)
| ~ aInteger0(X2) )
& ( aInteger0(X2)
| ~ aElementOf0(X2,cS1395) ) )
& aSet0(xB)
& ! [X3] :
( aElementOf0(X3,cS1395)
| ~ aElementOf0(X3,xB) )
& aSubsetOf0(xB,cS1395)
& aSet0(stldt0(xA))
& ! [X4] :
( ( aElementOf0(X4,stldt0(xA))
| ~ aInteger0(X4)
| aElementOf0(X4,xA) )
& ( ( aInteger0(X4)
& ~ aElementOf0(X4,xA) )
| ~ aElementOf0(X4,stldt0(xA)) ) )
& ! [X5] :
( ? [X6] :
( aInteger0(X6)
& sz00 != X6
& aSet0(szAzrzSzezqlpdtcmdtrp0(X5,X6))
& sP7(X5,X6)
& ! [X10] :
( aElementOf0(X10,stldt0(xA))
| ~ aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(X5,X6)) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X5,X6),stldt0(xA)) )
| ~ aElementOf0(X5,stldt0(xA)) )
& isOpen0(stldt0(xA))
& isClosed0(xA)
& aSet0(stldt0(xB))
& ! [X11] :
( ( aElementOf0(X11,stldt0(xB))
| ~ aInteger0(X11)
| aElementOf0(X11,xB) )
& ( ( aInteger0(X11)
& ~ aElementOf0(X11,xB) )
| ~ aElementOf0(X11,stldt0(xB)) ) )
& ! [X12] :
( ? [X13] :
( aInteger0(X13)
& sz00 != X13
& aSet0(szAzrzSzezqlpdtcmdtrp0(X12,X13))
& sP6(X12,X13)
& ! [X17] :
( aElementOf0(X17,stldt0(xB))
| ~ aElementOf0(X17,szAzrzSzezqlpdtcmdtrp0(X12,X13)) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X12,X13),stldt0(xB)) )
| ~ aElementOf0(X12,stldt0(xB)) )
& isOpen0(stldt0(xB))
& isClosed0(xB) ),
inference(nnf_transformation,[],[f115]) ).
fof(f170,plain,
( aSet0(cS1395)
& ! [X0] :
( ( aElementOf0(X0,cS1395)
| ~ aInteger0(X0) )
& ( aInteger0(X0)
| ~ aElementOf0(X0,cS1395) ) )
& aSet0(xA)
& ! [X1] :
( aElementOf0(X1,cS1395)
| ~ aElementOf0(X1,xA) )
& aSubsetOf0(xA,cS1395)
& aSet0(cS1395)
& ! [X2] :
( ( aElementOf0(X2,cS1395)
| ~ aInteger0(X2) )
& ( aInteger0(X2)
| ~ aElementOf0(X2,cS1395) ) )
& aSet0(xB)
& ! [X3] :
( aElementOf0(X3,cS1395)
| ~ aElementOf0(X3,xB) )
& aSubsetOf0(xB,cS1395)
& aSet0(stldt0(xA))
& ! [X4] :
( ( aElementOf0(X4,stldt0(xA))
| ~ aInteger0(X4)
| aElementOf0(X4,xA) )
& ( ( aInteger0(X4)
& ~ aElementOf0(X4,xA) )
| ~ aElementOf0(X4,stldt0(xA)) ) )
& ! [X5] :
( ? [X6] :
( aInteger0(X6)
& sz00 != X6
& aSet0(szAzrzSzezqlpdtcmdtrp0(X5,X6))
& sP7(X5,X6)
& ! [X10] :
( aElementOf0(X10,stldt0(xA))
| ~ aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(X5,X6)) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X5,X6),stldt0(xA)) )
| ~ aElementOf0(X5,stldt0(xA)) )
& isOpen0(stldt0(xA))
& isClosed0(xA)
& aSet0(stldt0(xB))
& ! [X11] :
( ( aElementOf0(X11,stldt0(xB))
| ~ aInteger0(X11)
| aElementOf0(X11,xB) )
& ( ( aInteger0(X11)
& ~ aElementOf0(X11,xB) )
| ~ aElementOf0(X11,stldt0(xB)) ) )
& ! [X12] :
( ? [X13] :
( aInteger0(X13)
& sz00 != X13
& aSet0(szAzrzSzezqlpdtcmdtrp0(X12,X13))
& sP6(X12,X13)
& ! [X17] :
( aElementOf0(X17,stldt0(xB))
| ~ aElementOf0(X17,szAzrzSzezqlpdtcmdtrp0(X12,X13)) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X12,X13),stldt0(xB)) )
| ~ aElementOf0(X12,stldt0(xB)) )
& isOpen0(stldt0(xB))
& isClosed0(xB) ),
inference(flattening,[],[f169]) ).
fof(f171,plain,
( aSet0(cS1395)
& ! [X0] :
( ( aElementOf0(X0,cS1395)
| ~ aInteger0(X0) )
& ( aInteger0(X0)
| ~ aElementOf0(X0,cS1395) ) )
& aSet0(xA)
& ! [X1] :
( aElementOf0(X1,cS1395)
| ~ aElementOf0(X1,xA) )
& aSubsetOf0(xA,cS1395)
& aSet0(cS1395)
& ! [X2] :
( ( aElementOf0(X2,cS1395)
| ~ aInteger0(X2) )
& ( aInteger0(X2)
| ~ aElementOf0(X2,cS1395) ) )
& aSet0(xB)
& ! [X3] :
( aElementOf0(X3,cS1395)
| ~ aElementOf0(X3,xB) )
& aSubsetOf0(xB,cS1395)
& aSet0(stldt0(xA))
& ! [X4] :
( ( aElementOf0(X4,stldt0(xA))
| ~ aInteger0(X4)
| aElementOf0(X4,xA) )
& ( ( aInteger0(X4)
& ~ aElementOf0(X4,xA) )
| ~ aElementOf0(X4,stldt0(xA)) ) )
& ! [X5] :
( ? [X6] :
( aInteger0(X6)
& sz00 != X6
& aSet0(szAzrzSzezqlpdtcmdtrp0(X5,X6))
& sP7(X5,X6)
& ! [X7] :
( aElementOf0(X7,stldt0(xA))
| ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X5,X6)) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X5,X6),stldt0(xA)) )
| ~ aElementOf0(X5,stldt0(xA)) )
& isOpen0(stldt0(xA))
& isClosed0(xA)
& aSet0(stldt0(xB))
& ! [X8] :
( ( aElementOf0(X8,stldt0(xB))
| ~ aInteger0(X8)
| aElementOf0(X8,xB) )
& ( ( aInteger0(X8)
& ~ aElementOf0(X8,xB) )
| ~ aElementOf0(X8,stldt0(xB)) ) )
& ! [X9] :
( ? [X10] :
( aInteger0(X10)
& sz00 != X10
& aSet0(szAzrzSzezqlpdtcmdtrp0(X9,X10))
& sP6(X9,X10)
& ! [X11] :
( aElementOf0(X11,stldt0(xB))
| ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,X10)) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X9,X10),stldt0(xB)) )
| ~ aElementOf0(X9,stldt0(xB)) )
& isOpen0(stldt0(xB))
& isClosed0(xB) ),
inference(rectify,[],[f170]) ).
fof(f172,plain,
( aSet0(cS1395)
& ! [X0] :
( ( aElementOf0(X0,cS1395)
| ~ aInteger0(X0) )
& ( aInteger0(X0)
| ~ aElementOf0(X0,cS1395) ) )
& aSet0(xA)
& ! [X1] :
( aElementOf0(X1,cS1395)
| ~ aElementOf0(X1,xA) )
& aSubsetOf0(xA,cS1395)
& aSet0(cS1395)
& ! [X2] :
( ( aElementOf0(X2,cS1395)
| ~ aInteger0(X2) )
& ( aInteger0(X2)
| ~ aElementOf0(X2,cS1395) ) )
& aSet0(xB)
& ! [X3] :
( aElementOf0(X3,cS1395)
| ~ aElementOf0(X3,xB) )
& aSubsetOf0(xB,cS1395)
& aSet0(stldt0(xA))
& ! [X4] :
( ( aElementOf0(X4,stldt0(xA))
| ~ aInteger0(X4)
| aElementOf0(X4,xA) )
& ( ( aInteger0(X4)
& ~ aElementOf0(X4,xA) )
| ~ aElementOf0(X4,stldt0(xA)) ) )
& ! [X5] :
( ( aInteger0(sK25(X5))
& sz00 != sK25(X5)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X5,sK25(X5)))
& sP7(X5,sK25(X5))
& ! [X7] :
( aElementOf0(X7,stldt0(xA))
| ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X5,sK25(X5))) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X5,sK25(X5)),stldt0(xA)) )
| ~ aElementOf0(X5,stldt0(xA)) )
& isOpen0(stldt0(xA))
& isClosed0(xA)
& aSet0(stldt0(xB))
& ! [X8] :
( ( aElementOf0(X8,stldt0(xB))
| ~ aInteger0(X8)
| aElementOf0(X8,xB) )
& ( ( aInteger0(X8)
& ~ aElementOf0(X8,xB) )
| ~ aElementOf0(X8,stldt0(xB)) ) )
& ! [X9] :
( ( aInteger0(sK26(X9))
& sz00 != sK26(X9)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X9,sK26(X9)))
& sP6(X9,sK26(X9))
& ! [X11] :
( aElementOf0(X11,stldt0(xB))
| ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,sK26(X9))) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X9,sK26(X9)),stldt0(xB)) )
| ~ aElementOf0(X9,stldt0(xB)) )
& isOpen0(stldt0(xB))
& isClosed0(xB) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25,sK26]),skolemize(X6,sK25(X5)),skolemize(X10,sK26(X9))],[f171]) ).
fof(f173,plain,
! [X2,X3] :
( ! [X4] :
( ( ( aInteger0(X4)
& ? [X5] :
( aInteger0(X5)
& sdtasdt0(X3,X5) = sdtpldt0(X4,smndt0(X2)) )
& aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& sdteqdtlpzmzozddtrp0(X4,X2,X3) )
| ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
& ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3))
| ~ aInteger0(X4)
| ( ! [X6] :
( ~ aInteger0(X6)
| sdtpldt0(X4,smndt0(X2)) != sdtasdt0(X3,X6) )
& ~ aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& ~ sdteqdtlpzmzozddtrp0(X4,X2,X3) ) ) )
| ~ sP8(X2,X3) ),
inference(nnf_transformation,[],[f116]) ).
fof(f174,plain,
! [X0,X1] :
( ! [X2] :
( ( ( aInteger0(X2)
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0)) )
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
& sdteqdtlpzmzozddtrp0(X2,X0,X1) )
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ~ aInteger0(X2)
| ( ! [X4] :
( ~ aInteger0(X4)
| sdtpldt0(X2,smndt0(X0)) != sdtasdt0(X1,X4) )
& ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
& ~ sdteqdtlpzmzozddtrp0(X2,X0,X1) ) ) )
| ~ sP8(X0,X1) ),
inference(rectify,[],[f173]) ).
fof(f175,plain,
! [X0,X1] :
( ! [X2] :
( ( ( aInteger0(X2)
& aInteger0(sK27(X0,X1,X2))
& sdtpldt0(X2,smndt0(X0)) = sdtasdt0(X1,sK27(X0,X1,X2))
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
& sdteqdtlpzmzozddtrp0(X2,X0,X1) )
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ~ aInteger0(X2)
| ( ! [X4] :
( ~ aInteger0(X4)
| sdtpldt0(X2,smndt0(X0)) != sdtasdt0(X1,X4) )
& ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
& ~ sdteqdtlpzmzozddtrp0(X2,X0,X1) ) ) )
| ~ sP8(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27]),skolemize(X3,sK27(X0,X1,X2))],[f174]) ).
fof(f176,plain,
( ? [X2] :
( ! [X3] :
( ~ aInteger0(X3)
| sz00 = X3
| ( ? [X7] :
( ~ aElementOf0(X7,stldt0(sdtbsmnsldt0(xA,xB)))
& aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),stldt0(sdtbsmnsldt0(xA,xB)))
& aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3))
& sP8(X2,X3) ) )
& aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB))) )
& ~ isOpen0(stldt0(sdtbsmnsldt0(xA,xB)))
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X1] :
( ( aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aInteger0(X1)
| aElementOf0(X1,sdtbsmnsldt0(xA,xB)) )
& ( ( aInteger0(X1)
& ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB)) )
| ~ aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB))) ) )
& ~ isClosed0(sdtbsmnsldt0(xA,xB))
& aSet0(sdtbsmnsldt0(xA,xB))
& ! [X0] :
( ( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X0)
| ( ~ aElementOf0(X0,xA)
& ~ aElementOf0(X0,xB) ) )
& ( ( aInteger0(X0)
& ( aElementOf0(X0,xA)
| aElementOf0(X0,xB) ) )
| ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB)) ) ) ),
inference(nnf_transformation,[],[f117]) ).
fof(f177,plain,
( ? [X2] :
( ! [X3] :
( ~ aInteger0(X3)
| sz00 = X3
| ( ? [X7] :
( ~ aElementOf0(X7,stldt0(sdtbsmnsldt0(xA,xB)))
& aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),stldt0(sdtbsmnsldt0(xA,xB)))
& aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3))
& sP8(X2,X3) ) )
& aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB))) )
& ~ isOpen0(stldt0(sdtbsmnsldt0(xA,xB)))
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X1] :
( ( aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aInteger0(X1)
| aElementOf0(X1,sdtbsmnsldt0(xA,xB)) )
& ( ( aInteger0(X1)
& ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB)) )
| ~ aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB))) ) )
& ~ isClosed0(sdtbsmnsldt0(xA,xB))
& aSet0(sdtbsmnsldt0(xA,xB))
& ! [X0] :
( ( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X0)
| ( ~ aElementOf0(X0,xA)
& ~ aElementOf0(X0,xB) ) )
& ( ( aInteger0(X0)
& ( aElementOf0(X0,xA)
| aElementOf0(X0,xB) ) )
| ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB)) ) ) ),
inference(flattening,[],[f176]) ).
fof(f178,plain,
( ? [X0] :
( ! [X1] :
( ~ aInteger0(X1)
| sz00 = X1
| ( ? [X2] :
( ~ aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB)))
& aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(sdtbsmnsldt0(xA,xB)))
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sP8(X0,X1) ) )
& aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB))) )
& ~ isOpen0(stldt0(sdtbsmnsldt0(xA,xB)))
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X3] :
( ( aElementOf0(X3,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aInteger0(X3)
| aElementOf0(X3,sdtbsmnsldt0(xA,xB)) )
& ( ( aInteger0(X3)
& ~ aElementOf0(X3,sdtbsmnsldt0(xA,xB)) )
| ~ aElementOf0(X3,stldt0(sdtbsmnsldt0(xA,xB))) ) )
& ~ isClosed0(sdtbsmnsldt0(xA,xB))
& aSet0(sdtbsmnsldt0(xA,xB))
& ! [X4] :
( ( aElementOf0(X4,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X4)
| ( ~ aElementOf0(X4,xA)
& ~ aElementOf0(X4,xB) ) )
& ( ( aInteger0(X4)
& ( aElementOf0(X4,xA)
| aElementOf0(X4,xB) ) )
| ~ aElementOf0(X4,sdtbsmnsldt0(xA,xB)) ) ) ),
inference(rectify,[],[f177]) ).
fof(f179,plain,
( ! [X1] :
( ~ aInteger0(X1)
| sz00 = X1
| ( ~ aElementOf0(sK29(X1),stldt0(sdtbsmnsldt0(xA,xB)))
& aElementOf0(sK29(X1),szAzrzSzezqlpdtcmdtrp0(sK28,X1))
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sK28,X1),stldt0(sdtbsmnsldt0(xA,xB)))
& aSet0(szAzrzSzezqlpdtcmdtrp0(sK28,X1))
& sP8(sK28,X1) ) )
& aElementOf0(sK28,stldt0(sdtbsmnsldt0(xA,xB)))
& ~ isOpen0(stldt0(sdtbsmnsldt0(xA,xB)))
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X3] :
( ( aElementOf0(X3,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aInteger0(X3)
| aElementOf0(X3,sdtbsmnsldt0(xA,xB)) )
& ( ( aInteger0(X3)
& ~ aElementOf0(X3,sdtbsmnsldt0(xA,xB)) )
| ~ aElementOf0(X3,stldt0(sdtbsmnsldt0(xA,xB))) ) )
& ~ isClosed0(sdtbsmnsldt0(xA,xB))
& aSet0(sdtbsmnsldt0(xA,xB))
& ! [X4] :
( ( aElementOf0(X4,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X4)
| ( ~ aElementOf0(X4,xA)
& ~ aElementOf0(X4,xB) ) )
& ( ( aInteger0(X4)
& ( aElementOf0(X4,xA)
| aElementOf0(X4,xB) ) )
| ~ aElementOf0(X4,sdtbsmnsldt0(xA,xB)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK28,sK29]),skolemize(X0,sK28),skolemize(X2,sK29(X1))],[f178]) ).
fof(f184,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f201,plain,
! [X0,X1] :
( sz00 != sdtasdt0(X0,X1)
| sz00 = X1
| sz00 = X0
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f212,plain,
! [X2,X3,X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X0,X1,sdtasdt0(X2,X3))
| sdteqdtlpzmzozddtrp0(X0,X1,X3)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sz00 = X2
| ~ aInteger0(X3)
| sz00 = X3 ),
inference(cnf_transformation,[],[f82]) ).
fof(f213,plain,
! [X2,X3,X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X0,X1,sdtasdt0(X2,X3))
| sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sz00 = X2
| ~ aInteger0(X3)
| sz00 = X3 ),
inference(cnf_transformation,[],[f82]) ).
fof(f261,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X1)
| ~ aInteger0(X3)
| aElementOf0(X3,X0)
| stldt0(X0) != X1
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f153]) ).
fof(f266,plain,
! [X2,X0,X1,X4] :
( sdteqdtlpzmzozddtrp0(X4,X0,X1)
| ~ aElementOf0(X4,X2)
| szAzrzSzezqlpdtcmdtrp0(X0,X1) != X2
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(cnf_transformation,[],[f157]) ).
fof(f268,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aInteger0(X4)
| ~ sdteqdtlpzmzozddtrp0(X4,X0,X1)
| szAzrzSzezqlpdtcmdtrp0(X0,X1) != X2
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(cnf_transformation,[],[f157]) ).
fof(f302,plain,
! [X11,X9] :
( ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,sK26(X9)))
| aElementOf0(X11,stldt0(xB))
| ~ aElementOf0(X9,stldt0(xB)) ),
inference(cnf_transformation,[],[f172]) ).
fof(f305,plain,
! [X9] :
( sz00 != sK26(X9)
| ~ aElementOf0(X9,stldt0(xB)) ),
inference(cnf_transformation,[],[f172]) ).
fof(f306,plain,
! [X9] :
( ~ aElementOf0(X9,stldt0(xB))
| aInteger0(sK26(X9)) ),
inference(cnf_transformation,[],[f172]) ).
fof(f307,plain,
! [X8] :
( ~ aElementOf0(X8,stldt0(xB))
| ~ aElementOf0(X8,xB) ),
inference(cnf_transformation,[],[f172]) ).
fof(f308,plain,
! [X8] :
( ~ aElementOf0(X8,stldt0(xB))
| aInteger0(X8) ),
inference(cnf_transformation,[],[f172]) ).
fof(f309,plain,
! [X8] :
( aElementOf0(X8,stldt0(xB))
| ~ aInteger0(X8)
| aElementOf0(X8,xB) ),
inference(cnf_transformation,[],[f172]) ).
fof(f314,plain,
! [X7,X5] :
( ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X5,sK25(X5)))
| aElementOf0(X7,stldt0(xA))
| ~ aElementOf0(X5,stldt0(xA)) ),
inference(cnf_transformation,[],[f172]) ).
fof(f317,plain,
! [X5] :
( sz00 != sK25(X5)
| ~ aElementOf0(X5,stldt0(xA)) ),
inference(cnf_transformation,[],[f172]) ).
fof(f318,plain,
! [X5] :
( ~ aElementOf0(X5,stldt0(xA))
| aInteger0(sK25(X5)) ),
inference(cnf_transformation,[],[f172]) ).
fof(f319,plain,
! [X4] :
( ~ aElementOf0(X4,stldt0(xA))
| ~ aElementOf0(X4,xA) ),
inference(cnf_transformation,[],[f172]) ).
fof(f329,plain,
aSubsetOf0(xA,cS1395),
inference(cnf_transformation,[],[f172]) ).
fof(f342,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| aInteger0(X2)
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f175]) ).
fof(f343,plain,
! [X4] :
( aElementOf0(X4,xA)
| aElementOf0(X4,xB)
| ~ aElementOf0(X4,sdtbsmnsldt0(xA,xB)) ),
inference(cnf_transformation,[],[f179]) ).
fof(f345,plain,
! [X4] :
( aElementOf0(X4,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X4)
| ~ aElementOf0(X4,xB) ),
inference(cnf_transformation,[],[f179]) ).
fof(f346,plain,
! [X4] :
( aElementOf0(X4,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X4)
| ~ aElementOf0(X4,xA) ),
inference(cnf_transformation,[],[f179]) ).
fof(f349,plain,
! [X3] :
( ~ aElementOf0(X3,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(X3,stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(cnf_transformation,[],[f179]) ).
fof(f350,plain,
! [X3] :
( aInteger0(X3)
| ~ aElementOf0(X3,stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(cnf_transformation,[],[f179]) ).
fof(f351,plain,
! [X3] :
( aElementOf0(X3,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aInteger0(X3)
| aElementOf0(X3,sdtbsmnsldt0(xA,xB)) ),
inference(cnf_transformation,[],[f179]) ).
fof(f354,plain,
aElementOf0(sK28,stldt0(sdtbsmnsldt0(xA,xB))),
inference(cnf_transformation,[],[f179]) ).
fof(f355,plain,
! [X1] :
( sP8(sK28,X1)
| sz00 = X1
| ~ aInteger0(X1) ),
inference(cnf_transformation,[],[f179]) ).
fof(f358,plain,
! [X1] :
( ~ aInteger0(X1)
| sz00 = X1
| aElementOf0(sK29(X1),szAzrzSzezqlpdtcmdtrp0(sK28,X1)) ),
inference(cnf_transformation,[],[f179]) ).
fof(f359,plain,
! [X1] :
( ~ aInteger0(X1)
| sz00 = X1
| ~ aElementOf0(sK29(X1),stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(cnf_transformation,[],[f179]) ).
fof(f368,plain,
! [X3,X0] :
( aElementOf0(X3,stldt0(X0))
| ~ aInteger0(X3)
| aElementOf0(X3,X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(equality_resolution,[],[f261]) ).
fof(f372,plain,
! [X0,X1,X4] :
( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ~ aInteger0(X4)
| ~ sdteqdtlpzmzozddtrp0(X4,X0,X1)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(equality_resolution,[],[f268]) ).
fof(f374,plain,
! [X0,X1,X4] :
( ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| sdteqdtlpzmzozddtrp0(X4,X0,X1)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(equality_resolution,[],[f266]) ).
fof(f375,definition,
sF30 = sdtbsmnsldt0(xA,xB),
introduced(definition,[new_symbols(definition,[sF30])],[function_definition]) ).
fof(f376,plain,
sdtbsmnsldt0(xA,xB) = sF30,
inference(reorient_equations,[],[f375]) ).
fof(f377,definition,
sF31 = stldt0(sF30),
introduced(definition,[new_symbols(definition,[sF31])],[function_definition]) ).
fof(f378,plain,
stldt0(sF30) = sF31,
inference(reorient_equations,[],[f377]) ).
fof(f379,plain,
! [X1] :
( ~ aElementOf0(sK29(X1),sF31)
| sz00 = X1
| ~ aInteger0(X1) ),
inference(definition_folding,[],[f359,f378,f376]) ).
fof(f380,definition,
! [X1] : sF32(X1) = szAzrzSzezqlpdtcmdtrp0(sK28,X1),
introduced(definition,[new_symbols(definition,[sF32])],[function_definition]) ).
fof(f381,plain,
! [X1] : szAzrzSzezqlpdtcmdtrp0(sK28,X1) = sF32(X1),
inference(reorient_equations,[],[f380]) ).
fof(f382,plain,
! [X1] :
( aElementOf0(sK29(X1),sF32(X1))
| sz00 = X1
| ~ aInteger0(X1) ),
inference(definition_folding,[],[f358,f381]) ).
fof(f385,plain,
aElementOf0(sK28,sF31),
inference(definition_folding,[],[f354,f378,f376]) ).
fof(f388,plain,
! [X3] :
( aElementOf0(X3,sF31)
| ~ aInteger0(X3)
| aElementOf0(X3,sF30) ),
inference(definition_folding,[],[f351,f376,f378,f376]) ).
fof(f389,plain,
! [X3] :
( ~ aElementOf0(X3,sF31)
| aInteger0(X3) ),
inference(definition_folding,[],[f350,f378,f376]) ).
fof(f390,plain,
! [X3] :
( ~ aElementOf0(X3,sF31)
| ~ aElementOf0(X3,sF30) ),
inference(definition_folding,[],[f349,f378,f376,f376]) ).
fof(f393,plain,
! [X4] :
( ~ aElementOf0(X4,xA)
| ~ aInteger0(X4)
| aElementOf0(X4,sF30) ),
inference(definition_folding,[],[f346,f376]) ).
fof(f394,plain,
! [X4] :
( ~ aElementOf0(X4,xB)
| ~ aInteger0(X4)
| aElementOf0(X4,sF30) ),
inference(definition_folding,[],[f345,f376]) ).
fof(f396,plain,
! [X4] :
( ~ aElementOf0(X4,sF30)
| aElementOf0(X4,xB)
| aElementOf0(X4,xA) ),
inference(definition_folding,[],[f343,f376]) ).
fof(f414,plain,
~ aElementOf0(sK28,sF30),
inference(resolution,[],[f390,f385]) ).
fof(f416,plain,
aInteger0(sK28),
inference(resolution,[],[f389,f385]) ).
fof(f419,plain,
! [X0] :
( aElementOf0(sK29(X0),sF30)
| ~ aInteger0(X0)
| ~ aInteger0(sK29(X0))
| sz00 = X0 ),
inference(resolution,[],[f379,f388]) ).
fof(f421,plain,
! [X0,X1] :
( ~ aElementOf0(X1,sF32(X0))
| aInteger0(X1)
| ~ sP8(sK28,X0) ),
inference(superposition,[],[f342,f381]) ).
fof(f424,plain,
! [X0] :
( aElementOf0(sK29(X0),xB)
| aElementOf0(sK29(X0),xA)
| ~ aInteger0(X0)
| ~ aInteger0(sK29(X0))
| sz00 = X0 ),
inference(resolution,[],[f396,f419]) ).
fof(f435,plain,
! [X0] :
( aInteger0(sK29(X0))
| ~ sP8(sK28,X0)
| sz00 = X0
| ~ aInteger0(X0) ),
inference(resolution,[],[f421,f382]) ).
fof(f436,plain,
! [X0] :
( aInteger0(sK29(X0))
| sz00 = X0
| ~ aInteger0(X0) ),
inference(forward_subsumption_resolution,[],[f435,f355]) ).
fof(f439,plain,
! [X0,X1] :
( ~ aElementOf0(X1,sF32(X0))
| sdteqdtlpzmzozddtrp0(X1,sK28,X0)
| ~ aInteger0(sK28)
| ~ aInteger0(X0)
| sz00 = X0 ),
inference(superposition,[],[f374,f381]) ).
fof(f440,plain,
! [X0,X1] :
( ~ aElementOf0(X1,sF32(X0))
| sdteqdtlpzmzozddtrp0(X1,sK28,X0)
| ~ aInteger0(X0)
| sz00 = X0 ),
inference(forward_subsumption_resolution,[],[f439,f416]) ).
fof(f441,plain,
! [X0] :
( sdteqdtlpzmzozddtrp0(sK29(X0),sK28,X0)
| ~ aInteger0(X0)
| sz00 = X0
| sz00 = X0
| ~ aInteger0(X0) ),
inference(resolution,[],[f440,f382]) ).
fof(f442,plain,
! [X0] :
( sdteqdtlpzmzozddtrp0(sK29(X0),sK28,X0)
| ~ aInteger0(X0)
| sz00 = X0 ),
inference(duplicate_literal_removal,[],[f441]) ).
fof(f558,definition,
( spl33_26
<=> aElementOf0(sK28,stldt0(xB)) ),
introduced(definition,[new_symbols(definition,[spl33_26])],[avatar_definition]) ).
fof(f559,plain,
( aElementOf0(sK28,stldt0(xB))
| ~ spl33_26 ),
inference(avatar_component_clause,[],[f558]) ).
fof(f560,plain,
( ~ aElementOf0(sK28,stldt0(xB))
| spl33_26 ),
inference(avatar_component_clause,[],[f558]) ).
fof(f570,plain,
! [X0] :
( ~ aElementOf0(X0,sF32(sK25(sK28)))
| aElementOf0(X0,stldt0(xA))
| ~ aElementOf0(sK28,stldt0(xA)) ),
inference(superposition,[],[f314,f381]) ).
fof(f572,definition,
( spl33_28
<=> aElementOf0(sK28,stldt0(xA)) ),
introduced(definition,[new_symbols(definition,[spl33_28])],[avatar_definition]) ).
fof(f573,plain,
( aElementOf0(sK28,stldt0(xA))
| ~ spl33_28 ),
inference(avatar_component_clause,[],[f572]) ).
fof(f574,plain,
( ~ aElementOf0(sK28,stldt0(xA))
| spl33_28 ),
inference(avatar_component_clause,[],[f572]) ).
fof(f576,definition,
( spl33_29
<=> ! [X0] :
( ~ aElementOf0(X0,sF32(sK25(sK28)))
| aElementOf0(X0,stldt0(xA)) ) ),
introduced(definition,[new_symbols(definition,[spl33_29])],[avatar_definition]) ).
fof(f577,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF32(sK25(sK28)))
| aElementOf0(X0,stldt0(xA)) )
| ~ spl33_29 ),
inference(avatar_component_clause,[],[f576]) ).
fof(f578,plain,
( ~ spl33_28
| spl33_29 ),
inference(avatar_split_clause,[],[f570,f576,f572]) ).
fof(f579,plain,
( ~ aInteger0(sK28)
| aElementOf0(sK28,xA)
| ~ aSubsetOf0(xA,cS1395)
| spl33_28 ),
inference(resolution,[],[f574,f368]) ).
fof(f580,plain,
( aElementOf0(sK28,xA)
| ~ aSubsetOf0(xA,cS1395)
| spl33_28 ),
inference(forward_subsumption_resolution,[],[f579,f416]) ).
fof(f581,plain,
( aElementOf0(sK28,xA)
| spl33_28 ),
inference(forward_subsumption_resolution,[],[f580,f329]) ).
fof(f583,plain,
( ~ aInteger0(sK28)
| aElementOf0(sK28,sF30)
| spl33_28 ),
inference(resolution,[],[f581,f393]) ).
fof(f584,plain,
( aElementOf0(sK28,sF30)
| spl33_28 ),
inference(forward_subsumption_resolution,[],[f583,f416]) ).
fof(f585,plain,
( $false
| spl33_28 ),
inference(forward_subsumption_resolution,[],[f584,f414]) ).
fof(f586,plain,
spl33_28,
inference(avatar_contradiction_clause,[],[f585]) ).
fof(f603,definition,
( spl33_33
<=> aInteger0(sK25(sK28)) ),
introduced(definition,[new_symbols(definition,[spl33_33])],[avatar_definition]) ).
fof(f604,plain,
( aInteger0(sK25(sK28))
| ~ spl33_33 ),
inference(avatar_component_clause,[],[f603]) ).
fof(f605,plain,
( ~ aInteger0(sK25(sK28))
| spl33_33 ),
inference(avatar_component_clause,[],[f603]) ).
fof(f607,definition,
( spl33_34
<=> sz00 = sK25(sK28) ),
introduced(definition,[new_symbols(definition,[spl33_34])],[avatar_definition]) ).
fof(f608,plain,
( sz00 != sK25(sK28)
| spl33_34 ),
inference(avatar_component_clause,[],[f607]) ).
fof(f609,plain,
( sz00 = sK25(sK28)
| ~ spl33_34 ),
inference(avatar_component_clause,[],[f607]) ).
fof(f693,plain,
! [X0,X1] :
( ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,sK26(X1))
| ~ aInteger0(X1)
| ~ aInteger0(sK26(X1))
| sz00 = sK26(X1)
| aElementOf0(X0,stldt0(xB))
| ~ aElementOf0(X1,stldt0(xB)) ),
inference(resolution,[],[f372,f302]) ).
fof(f695,plain,
! [X0,X1] :
( aElementOf0(X1,sF32(X0))
| ~ aInteger0(X1)
| ~ sdteqdtlpzmzozddtrp0(X1,sK28,X0)
| ~ aInteger0(sK28)
| ~ aInteger0(X0)
| sz00 = X0 ),
inference(superposition,[],[f372,f381]) ).
fof(f698,plain,
! [X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X1,sK28,X0)
| ~ aInteger0(X1)
| aElementOf0(X1,sF32(X0))
| ~ aInteger0(X0)
| sz00 = X0 ),
inference(forward_subsumption_resolution,[],[f695,f416]) ).
fof(f700,plain,
! [X0,X1] :
( ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,sK26(X1))
| ~ aInteger0(sK26(X1))
| sz00 = sK26(X1)
| aElementOf0(X0,stldt0(xB))
| ~ aElementOf0(X1,stldt0(xB)) ),
inference(forward_subsumption_resolution,[],[f693,f308]) ).
fof(f702,plain,
! [X0,X1] :
( ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,sK26(X1))
| sz00 = sK26(X1)
| aElementOf0(X0,stldt0(xB))
| ~ aElementOf0(X1,stldt0(xB)) ),
inference(forward_subsumption_resolution,[],[f700,f306]) ).
fof(f704,plain,
! [X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X0,X1,sK26(X1))
| ~ aInteger0(X0)
| aElementOf0(X0,stldt0(xB))
| ~ aElementOf0(X1,stldt0(xB)) ),
inference(forward_subsumption_resolution,[],[f702,f305]) ).
fof(f757,plain,
( ~ aInteger0(sK28)
| aElementOf0(sK28,xB)
| spl33_26 ),
inference(resolution,[],[f560,f309]) ).
fof(f760,plain,
( aElementOf0(sK28,xB)
| spl33_26 ),
inference(forward_subsumption_resolution,[],[f757,f416]) ).
fof(f763,plain,
( ~ aInteger0(sK28)
| aElementOf0(sK28,sF30)
| spl33_26 ),
inference(resolution,[],[f760,f394]) ).
fof(f764,plain,
( aElementOf0(sK28,sF30)
| spl33_26 ),
inference(forward_subsumption_resolution,[],[f763,f416]) ).
fof(f765,plain,
( $false
| spl33_26 ),
inference(forward_subsumption_resolution,[],[f764,f414]) ).
fof(f766,plain,
spl33_26,
inference(avatar_contradiction_clause,[],[f765]) ).
fof(f799,definition,
( spl33_45
<=> aInteger0(sK26(sK28)) ),
introduced(definition,[new_symbols(definition,[spl33_45])],[avatar_definition]) ).
fof(f800,plain,
( aInteger0(sK26(sK28))
| ~ spl33_45 ),
inference(avatar_component_clause,[],[f799]) ).
fof(f801,plain,
( ~ aInteger0(sK26(sK28))
| spl33_45 ),
inference(avatar_component_clause,[],[f799]) ).
fof(f803,definition,
( spl33_46
<=> sz00 = sK26(sK28) ),
introduced(definition,[new_symbols(definition,[spl33_46])],[avatar_definition]) ).
fof(f804,plain,
( sz00 != sK26(sK28)
| spl33_46 ),
inference(avatar_component_clause,[],[f803]) ).
fof(f805,plain,
( sz00 = sK26(sK28)
| ~ spl33_46 ),
inference(avatar_component_clause,[],[f803]) ).
fof(f946,plain,
( aInteger0(sK26(sK28))
| ~ spl33_26 ),
inference(resolution,[],[f306,f559]) ).
fof(f950,plain,
( $false
| ~ spl33_26
| spl33_45 ),
inference(forward_subsumption_resolution,[],[f946,f801]) ).
fof(f951,plain,
( ~ spl33_26
| spl33_45 ),
inference(avatar_contradiction_clause,[],[f950]) ).
fof(f1009,plain,
! [X0,X1] :
( sdteqdtlpzmzozddtrp0(sK29(sdtasdt0(X0,X1)),sK28,X0)
| ~ aInteger0(sK29(sdtasdt0(X0,X1)))
| ~ aInteger0(sK28)
| ~ aInteger0(X0)
| sz00 = X0
| ~ aInteger0(X1)
| sz00 = X1
| ~ aInteger0(sdtasdt0(X0,X1))
| sz00 = sdtasdt0(X0,X1) ),
inference(resolution,[],[f213,f442]) ).
fof(f1016,plain,
! [X0,X1] :
( sdteqdtlpzmzozddtrp0(sK29(sdtasdt0(X0,X1)),sK28,X0)
| ~ aInteger0(sK29(sdtasdt0(X0,X1)))
| ~ aInteger0(sK28)
| ~ aInteger0(X0)
| sz00 = X0
| ~ aInteger0(X1)
| sz00 = X1
| ~ aInteger0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f1009,f201]) ).
fof(f1018,plain,
! [X0,X1] :
( sdteqdtlpzmzozddtrp0(sK29(sdtasdt0(X0,X1)),sK28,X0)
| ~ aInteger0(sK29(sdtasdt0(X0,X1)))
| ~ aInteger0(X0)
| sz00 = X0
| ~ aInteger0(X1)
| sz00 = X1
| ~ aInteger0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f1016,f416]) ).
fof(f1020,plain,
! [X0,X1] :
( sdteqdtlpzmzozddtrp0(sK29(sdtasdt0(X0,X1)),sK28,X0)
| ~ aInteger0(sK29(sdtasdt0(X0,X1)))
| ~ aInteger0(X0)
| sz00 = X0
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(forward_subsumption_resolution,[],[f1018,f184]) ).
fof(f1023,plain,
! [X0,X1] :
( sdteqdtlpzmzozddtrp0(sK29(sdtasdt0(X0,X1)),sK28,X1)
| ~ aInteger0(sK29(sdtasdt0(X0,X1)))
| ~ aInteger0(sK28)
| ~ aInteger0(X0)
| sz00 = X0
| ~ aInteger0(X1)
| sz00 = X1
| ~ aInteger0(sdtasdt0(X0,X1))
| sz00 = sdtasdt0(X0,X1) ),
inference(resolution,[],[f212,f442]) ).
fof(f1030,plain,
! [X0,X1] :
( sdteqdtlpzmzozddtrp0(sK29(sdtasdt0(X0,X1)),sK28,X1)
| ~ aInteger0(sK29(sdtasdt0(X0,X1)))
| ~ aInteger0(sK28)
| ~ aInteger0(X0)
| sz00 = X0
| ~ aInteger0(X1)
| sz00 = X1
| ~ aInteger0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f1023,f201]) ).
fof(f1032,plain,
! [X0,X1] :
( sdteqdtlpzmzozddtrp0(sK29(sdtasdt0(X0,X1)),sK28,X1)
| ~ aInteger0(sK29(sdtasdt0(X0,X1)))
| ~ aInteger0(X0)
| sz00 = X0
| ~ aInteger0(X1)
| sz00 = X1
| ~ aInteger0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f1030,f416]) ).
fof(f1034,plain,
! [X0,X1] :
( sdteqdtlpzmzozddtrp0(sK29(sdtasdt0(X0,X1)),sK28,X1)
| ~ aInteger0(sK29(sdtasdt0(X0,X1)))
| ~ aInteger0(X0)
| sz00 = X0
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(forward_subsumption_resolution,[],[f1032,f184]) ).
fof(f1043,plain,
( aInteger0(sK25(sK28))
| ~ spl33_28 ),
inference(resolution,[],[f318,f573]) ).
fof(f1047,plain,
( $false
| ~ spl33_28
| spl33_33 ),
inference(forward_subsumption_resolution,[],[f1043,f605]) ).
fof(f1048,plain,
( ~ spl33_28
| spl33_33 ),
inference(avatar_contradiction_clause,[],[f1047]) ).
fof(f2122,plain,
( sz00 != sz00
| ~ aElementOf0(sK28,stldt0(xB))
| ~ spl33_46 ),
inference(superposition,[],[f305,f805]) ).
fof(f2125,plain,
( ~ aElementOf0(sK28,stldt0(xB))
| ~ spl33_46 ),
inference(trivial_inequality_removal,[],[f2122]) ).
fof(f2128,plain,
( $false
| ~ spl33_26
| ~ spl33_46 ),
inference(forward_subsumption_resolution,[],[f2125,f559]) ).
fof(f2129,plain,
( ~ spl33_26
| ~ spl33_46 ),
inference(avatar_contradiction_clause,[],[f2128]) ).
fof(f2401,plain,
( sz00 != sz00
| ~ aElementOf0(sK28,stldt0(xA))
| ~ spl33_34 ),
inference(superposition,[],[f317,f609]) ).
fof(f2404,plain,
( ~ aElementOf0(sK28,stldt0(xA))
| ~ spl33_34 ),
inference(trivial_inequality_removal,[],[f2401]) ).
fof(f2407,plain,
( $false
| ~ spl33_28
| ~ spl33_34 ),
inference(forward_subsumption_resolution,[],[f2404,f573]) ).
fof(f2408,plain,
( ~ spl33_28
| ~ spl33_34 ),
inference(avatar_contradiction_clause,[],[f2407]) ).
fof(f2559,plain,
! [X0] :
( ~ aInteger0(sK29(sdtasdt0(sK26(sK28),X0)))
| ~ aInteger0(sK26(sK28))
| sz00 = sK26(sK28)
| ~ aInteger0(X0)
| sz00 = X0
| ~ aInteger0(sK29(sdtasdt0(sK26(sK28),X0)))
| aElementOf0(sK29(sdtasdt0(sK26(sK28),X0)),stldt0(xB))
| ~ aElementOf0(sK28,stldt0(xB)) ),
inference(resolution,[],[f1020,f704]) ).
fof(f2563,plain,
! [X0] :
( ~ aInteger0(sK29(sdtasdt0(sK26(sK28),X0)))
| ~ aInteger0(sK26(sK28))
| sz00 = sK26(sK28)
| ~ aInteger0(X0)
| sz00 = X0
| aElementOf0(sK29(sdtasdt0(sK26(sK28),X0)),stldt0(xB))
| ~ aElementOf0(sK28,stldt0(xB)) ),
inference(duplicate_literal_removal,[],[f2559]) ).
fof(f2570,plain,
! [X0] :
( ~ aInteger0(sK29(sdtasdt0(sK26(sK28),X0)))
| sz00 = sK26(sK28)
| ~ aInteger0(X0)
| sz00 = X0
| aElementOf0(sK29(sdtasdt0(sK26(sK28),X0)),stldt0(xB))
| ~ aElementOf0(sK28,stldt0(xB)) ),
inference(forward_subsumption_resolution,[],[f2563,f306]) ).
fof(f2574,plain,
! [X0] :
( ~ aInteger0(sK29(sdtasdt0(sK26(sK28),X0)))
| ~ aInteger0(X0)
| sz00 = X0
| aElementOf0(sK29(sdtasdt0(sK26(sK28),X0)),stldt0(xB))
| ~ aElementOf0(sK28,stldt0(xB)) ),
inference(forward_subsumption_resolution,[],[f2570,f305]) ).
fof(f2577,plain,
( ! [X0] :
( aElementOf0(sK29(sdtasdt0(sK26(sK28),X0)),stldt0(xB))
| ~ aInteger0(X0)
| sz00 = X0
| ~ aInteger0(sK29(sdtasdt0(sK26(sK28),X0))) )
| ~ spl33_26 ),
inference(forward_subsumption_resolution,[],[f2574,f559]) ).
fof(f2583,plain,
( ! [X0] :
( ~ aElementOf0(sK29(sdtasdt0(sK26(sK28),X0)),xB)
| sz00 = X0
| ~ aInteger0(sK29(sdtasdt0(sK26(sK28),X0)))
| ~ aInteger0(X0) )
| ~ spl33_26 ),
inference(resolution,[],[f2577,f307]) ).
fof(f2588,plain,
( ! [X0] :
( sz00 = X0
| ~ aInteger0(sK29(sdtasdt0(sK26(sK28),X0)))
| ~ aInteger0(X0)
| aElementOf0(sK29(sdtasdt0(sK26(sK28),X0)),xA)
| ~ aInteger0(sdtasdt0(sK26(sK28),X0))
| ~ aInteger0(sK29(sdtasdt0(sK26(sK28),X0)))
| sz00 = sdtasdt0(sK26(sK28),X0) )
| ~ spl33_26 ),
inference(resolution,[],[f2583,f424]) ).
fof(f2590,plain,
( ! [X0] :
( sz00 = X0
| ~ aInteger0(sK29(sdtasdt0(sK26(sK28),X0)))
| ~ aInteger0(X0)
| aElementOf0(sK29(sdtasdt0(sK26(sK28),X0)),xA)
| ~ aInteger0(sdtasdt0(sK26(sK28),X0))
| sz00 = sdtasdt0(sK26(sK28),X0) )
| ~ spl33_26 ),
inference(duplicate_literal_removal,[],[f2588]) ).
fof(f2591,plain,
( ! [X0] :
( aElementOf0(sK29(sdtasdt0(sK26(sK28),X0)),xA)
| ~ aInteger0(X0)
| sz00 = X0
| ~ aInteger0(sdtasdt0(sK26(sK28),X0))
| sz00 = sdtasdt0(sK26(sK28),X0) )
| ~ spl33_26 ),
inference(forward_subsumption_resolution,[],[f2590,f436]) ).
fof(f2596,plain,
! [X0,X1] :
( ~ aInteger0(sK29(sdtasdt0(X0,X1)))
| ~ aInteger0(X0)
| sz00 = X0
| ~ aInteger0(X1)
| sz00 = X1
| ~ aInteger0(sK29(sdtasdt0(X0,X1)))
| aElementOf0(sK29(sdtasdt0(X0,X1)),sF32(X1))
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(resolution,[],[f1034,f698]) ).
fof(f2610,plain,
! [X0,X1] :
( aElementOf0(sK29(sdtasdt0(X0,X1)),sF32(X1))
| ~ aInteger0(X0)
| sz00 = X0
| ~ aInteger0(X1)
| sz00 = X1
| ~ aInteger0(sK29(sdtasdt0(X0,X1))) ),
inference(duplicate_literal_removal,[],[f2596]) ).
fof(f2676,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = X0
| ~ aInteger0(sK25(sK28))
| sz00 = sK25(sK28)
| ~ aInteger0(sK29(sdtasdt0(X0,sK25(sK28))))
| aElementOf0(sK29(sdtasdt0(X0,sK25(sK28))),stldt0(xA)) )
| ~ spl33_29 ),
inference(resolution,[],[f2610,f577]) ).
fof(f2683,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = X0
| sz00 = sK25(sK28)
| ~ aInteger0(sK29(sdtasdt0(X0,sK25(sK28))))
| aElementOf0(sK29(sdtasdt0(X0,sK25(sK28))),stldt0(xA)) )
| ~ spl33_29
| ~ spl33_33 ),
inference(forward_subsumption_resolution,[],[f2676,f604]) ).
fof(f2685,plain,
( ! [X0] :
( aElementOf0(sK29(sdtasdt0(X0,sK25(sK28))),stldt0(xA))
| sz00 = X0
| ~ aInteger0(sK29(sdtasdt0(X0,sK25(sK28))))
| ~ aInteger0(X0) )
| ~ spl33_29
| ~ spl33_33
| spl33_34 ),
inference(forward_subsumption_resolution,[],[f2683,f608]) ).
fof(f2689,plain,
( ! [X0] :
( ~ aElementOf0(sK29(sdtasdt0(X0,sK25(sK28))),xA)
| ~ aInteger0(sK29(sdtasdt0(X0,sK25(sK28))))
| ~ aInteger0(X0)
| sz00 = X0 )
| ~ spl33_29
| ~ spl33_33
| spl33_34 ),
inference(resolution,[],[f2685,f319]) ).
fof(f3433,plain,
( ~ aInteger0(sK25(sK28))
| sz00 = sK25(sK28)
| ~ aInteger0(sdtasdt0(sK26(sK28),sK25(sK28)))
| sz00 = sdtasdt0(sK26(sK28),sK25(sK28))
| ~ aInteger0(sK29(sdtasdt0(sK26(sK28),sK25(sK28))))
| ~ aInteger0(sK26(sK28))
| sz00 = sK26(sK28)
| ~ spl33_26
| ~ spl33_29
| ~ spl33_33
| spl33_34 ),
inference(resolution,[],[f2591,f2689]) ).
fof(f3436,plain,
( ~ aInteger0(sK25(sK28))
| sz00 = sK25(sK28)
| ~ aInteger0(sdtasdt0(sK26(sK28),sK25(sK28)))
| ~ aInteger0(sK29(sdtasdt0(sK26(sK28),sK25(sK28))))
| ~ aInteger0(sK26(sK28))
| sz00 = sK26(sK28)
| ~ spl33_26
| ~ spl33_29
| ~ spl33_33
| spl33_34 ),
inference(forward_subsumption_resolution,[],[f3433,f201]) ).
fof(f3437,plain,
( sz00 = sK25(sK28)
| ~ aInteger0(sdtasdt0(sK26(sK28),sK25(sK28)))
| ~ aInteger0(sK29(sdtasdt0(sK26(sK28),sK25(sK28))))
| ~ aInteger0(sK26(sK28))
| sz00 = sK26(sK28)
| ~ spl33_26
| ~ spl33_29
| ~ spl33_33
| spl33_34 ),
inference(forward_subsumption_resolution,[],[f3436,f604]) ).
fof(f3438,plain,
( ~ aInteger0(sdtasdt0(sK26(sK28),sK25(sK28)))
| ~ aInteger0(sK29(sdtasdt0(sK26(sK28),sK25(sK28))))
| ~ aInteger0(sK26(sK28))
| sz00 = sK26(sK28)
| ~ spl33_26
| ~ spl33_29
| ~ spl33_33
| spl33_34 ),
inference(forward_subsumption_resolution,[],[f3437,f608]) ).
fof(f3439,plain,
( ~ aInteger0(sdtasdt0(sK26(sK28),sK25(sK28)))
| ~ aInteger0(sK29(sdtasdt0(sK26(sK28),sK25(sK28))))
| sz00 = sK26(sK28)
| ~ spl33_26
| ~ spl33_29
| ~ spl33_33
| spl33_34
| ~ spl33_45 ),
inference(forward_subsumption_resolution,[],[f3438,f800]) ).
fof(f3440,plain,
( ~ aInteger0(sdtasdt0(sK26(sK28),sK25(sK28)))
| ~ aInteger0(sK29(sdtasdt0(sK26(sK28),sK25(sK28))))
| ~ spl33_26
| ~ spl33_29
| ~ spl33_33
| spl33_34
| ~ spl33_45
| spl33_46 ),
inference(forward_subsumption_resolution,[],[f3439,f804]) ).
fof(f3442,definition,
( spl33_169
<=> aInteger0(sK29(sdtasdt0(sK26(sK28),sK25(sK28)))) ),
introduced(definition,[new_symbols(definition,[spl33_169])],[avatar_definition]) ).
fof(f3444,plain,
( ~ aInteger0(sK29(sdtasdt0(sK26(sK28),sK25(sK28))))
| spl33_169 ),
inference(avatar_component_clause,[],[f3442]) ).
fof(f3446,definition,
( spl33_170
<=> aInteger0(sdtasdt0(sK26(sK28),sK25(sK28))) ),
introduced(definition,[new_symbols(definition,[spl33_170])],[avatar_definition]) ).
fof(f3448,plain,
( ~ aInteger0(sdtasdt0(sK26(sK28),sK25(sK28)))
| spl33_170 ),
inference(avatar_component_clause,[],[f3446]) ).
fof(f3449,plain,
( ~ spl33_169
| ~ spl33_170
| ~ spl33_26
| ~ spl33_29
| ~ spl33_33
| spl33_34
| ~ spl33_45
| spl33_46 ),
inference(avatar_split_clause,[],[f3440,f803,f799,f607,f603,f576,f558,f3446,f3442]) ).
fof(f3450,plain,
( sz00 = sdtasdt0(sK26(sK28),sK25(sK28))
| ~ aInteger0(sdtasdt0(sK26(sK28),sK25(sK28)))
| spl33_169 ),
inference(resolution,[],[f3444,f436]) ).
fof(f3452,definition,
( spl33_171
<=> sz00 = sdtasdt0(sK26(sK28),sK25(sK28)) ),
introduced(definition,[new_symbols(definition,[spl33_171])],[avatar_definition]) ).
fof(f3454,plain,
( sz00 = sdtasdt0(sK26(sK28),sK25(sK28))
| ~ spl33_171 ),
inference(avatar_component_clause,[],[f3452]) ).
fof(f3455,plain,
( ~ spl33_170
| spl33_171
| spl33_169 ),
inference(avatar_split_clause,[],[f3450,f3442,f3452,f3446]) ).
fof(f3456,plain,
( ~ aInteger0(sK26(sK28))
| ~ aInteger0(sK25(sK28))
| spl33_170 ),
inference(resolution,[],[f3448,f184]) ).
fof(f3457,plain,
( ~ aInteger0(sK25(sK28))
| ~ spl33_45
| spl33_170 ),
inference(forward_subsumption_resolution,[],[f3456,f800]) ).
fof(f3458,plain,
( $false
| ~ spl33_33
| ~ spl33_45
| spl33_170 ),
inference(forward_subsumption_resolution,[],[f3457,f604]) ).
fof(f3459,plain,
( ~ spl33_33
| ~ spl33_45
| spl33_170 ),
inference(avatar_contradiction_clause,[],[f3458]) ).
fof(f3466,plain,
( sz00 != sz00
| sz00 = sK25(sK28)
| sz00 = sK26(sK28)
| ~ aInteger0(sK26(sK28))
| ~ aInteger0(sK25(sK28))
| ~ spl33_171 ),
inference(superposition,[],[f201,f3454]) ).
fof(f3480,plain,
( sz00 = sK25(sK28)
| sz00 = sK26(sK28)
| ~ aInteger0(sK26(sK28))
| ~ aInteger0(sK25(sK28))
| ~ spl33_171 ),
inference(trivial_inequality_removal,[],[f3466]) ).
fof(f3485,plain,
( sz00 = sK26(sK28)
| ~ aInteger0(sK26(sK28))
| ~ aInteger0(sK25(sK28))
| spl33_34
| ~ spl33_171 ),
inference(forward_subsumption_resolution,[],[f3480,f608]) ).
fof(f3490,plain,
( ~ aInteger0(sK26(sK28))
| ~ aInteger0(sK25(sK28))
| spl33_34
| spl33_46
| ~ spl33_171 ),
inference(forward_subsumption_resolution,[],[f3485,f804]) ).
fof(f3495,plain,
( ~ aInteger0(sK25(sK28))
| spl33_34
| ~ spl33_45
| spl33_46
| ~ spl33_171 ),
inference(forward_subsumption_resolution,[],[f3490,f800]) ).
fof(f3500,plain,
( $false
| ~ spl33_33
| spl33_34
| ~ spl33_45
| spl33_46
| ~ spl33_171 ),
inference(forward_subsumption_resolution,[],[f3495,f604]) ).
fof(f3501,plain,
( ~ spl33_33
| spl33_34
| ~ spl33_45
| spl33_46
| ~ spl33_171 ),
inference(avatar_contradiction_clause,[],[f3500]) ).
cnf(s15,plain,
( ~ spl33_28
| spl33_29 ),
inference(sat_conversion,[],[f578]) ).
cnf(s16,plain,
spl33_28,
inference(sat_conversion,[],[f586]) ).
cnf(s21,plain,
spl33_26,
inference(sat_conversion,[],[f766]) ).
cnf(s27,plain,
( ~ spl33_26
| spl33_45 ),
inference(sat_conversion,[],[f951]) ).
cnf(s30,plain,
( ~ spl33_28
| spl33_33 ),
inference(sat_conversion,[],[f1048]) ).
cnf(s69,plain,
( ~ spl33_26
| ~ spl33_46 ),
inference(sat_conversion,[],[f2129]) ).
cnf(s87,plain,
( ~ spl33_28
| ~ spl33_34 ),
inference(sat_conversion,[],[f2408]) ).
cnf(s131,plain,
( ~ spl33_26
| ~ spl33_29
| ~ spl33_33
| spl33_34
| ~ spl33_45
| spl33_46
| ~ spl33_169
| ~ spl33_170 ),
inference(sat_conversion,[],[f3449]) ).
cnf(s132,plain,
( spl33_169
| ~ spl33_170
| spl33_171 ),
inference(sat_conversion,[],[f3455]) ).
cnf(s133,plain,
( ~ spl33_33
| ~ spl33_45
| spl33_170 ),
inference(sat_conversion,[],[f3459]) ).
cnf(s134,plain,
( ~ spl33_33
| spl33_34
| ~ spl33_45
| spl33_46
| ~ spl33_171 ),
inference(sat_conversion,[],[f3501]) ).
cnf(s137,plain,
~ spl33_46,
inference(rat,[],[s69,s21]) ).
cnf(s138,plain,
spl33_45,
inference(rat,[],[s27,s21]) ).
cnf(s145,plain,
~ spl33_34,
inference(rat,[],[s87,s16]) ).
cnf(s146,plain,
spl33_33,
inference(rat,[],[s30,s16]) ).
cnf(s147,plain,
~ spl33_171,
inference(rat,[],[s134,s145,s137,s138,s146]) ).
cnf(s148,plain,
spl33_170,
inference(rat,[],[s133,s138,s146]) ).
cnf(s151,plain,
spl33_169,
inference(rat,[],[s132,s147,s148]) ).
cnf(s153,plain,
~ spl33_29,
inference(rat,[],[s131,s148,s146,s137,s138,s145,s21,s151]) ).
cnf(s156,plain,
$false,
inference(rat,[],[s15,s153,s16]) ).
fof(f3504,plain,
$false,
inference(avatar_sat_refutation,[],[s156]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM439+6 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.42 % Computer : n008.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Sun Sep 27 19:55:54 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.48 Running first-order theorem proving
% 0.23/0.48 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.43/3.33 % (1563189)Detected formulas, will run a generic FOF schedule.
% 14.43/3.33 % (1563198)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1321602736:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 14.43/3.33 % (1563198)Instruction limit reached!
% 14.43/3.33 % (1563198)------------------------------
% 14.43/3.33 % (1563198)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.43/3.33 % (1563198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.43/3.33 % (1563198)CaDiCaL version: 2.1.3
% 14.43/3.33 % (1563198)Termination reason: Instruction limit
% 14.43/3.33 % (1563198)Termination phase: Saturation
% 14.43/3.33 % (1563198)Time elapsed: 0.062 s
% 14.43/3.33 % (1563198)Peak memory usage: 89 MB
% 14.43/3.33 % (1563198)Instructions burned: 119 (million)
% 14.43/3.33 % (1563194)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=731755644:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 14.43/3.33 % (1563195)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3338587907:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 14.43/3.33 % (1563197)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2607520863:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 14.43/3.33 % (1563196)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=4006423728:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 14.43/3.33 % (1563200)dis-21_1_sil=8000:lcm=predicate:random_seed=4225237098:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 14.43/3.33 % (1563199)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3350163937:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 14.43/3.33 % (1563197)Instruction limit reached!
% 14.43/3.33 % (1563197)------------------------------
% 14.43/3.33 % (1563197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.43/3.33 % (1563197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.43/3.33 % (1563197)CaDiCaL version: 2.1.3
% 14.43/3.33 % (1563197)Termination reason: Instruction limit
% 14.43/3.33 % (1563197)Termination phase: Saturation
% 14.43/3.33 % (1563197)Time elapsed: 0.113 s
% 14.43/3.33 % (1563197)Peak memory usage: 89 MB
% 14.43/3.33 % (1563197)Instructions burned: 109 (million)
% 14.43/3.33 % (1563200)Instruction limit reached!
% 14.43/3.33 % (1563200)------------------------------
% 14.43/3.33 % (1563200)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.43/3.33 % (1563200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.43/3.33 % (1563200)CaDiCaL version: 2.1.3
% 14.43/3.33 % (1563200)Termination reason: Instruction limit
% 14.43/3.33 % (1563200)Termination phase: Saturation
% 14.43/3.33 % (1563200)Time elapsed: 0.127 s
% 14.43/3.33 % (1563200)Peak memory usage: 89 MB
% 14.43/3.33 % (1563200)Instructions burned: 130 (million)
% 14.43/3.33 % (1563199)Instruction limit reached!
% 14.43/3.33 % (1563199)------------------------------
% 14.43/3.33 % (1563199)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.43/3.33 % (1563199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.43/3.33 % (1563199)CaDiCaL version: 2.1.3
% 14.43/3.33 % (1563199)Termination reason: Instruction limit
% 14.43/3.33 % (1563199)Termination phase: Saturation
% 14.43/3.33 % (1563199)Time elapsed: 0.154 s
% 14.43/3.33 % (1563199)Peak memory usage: 90 MB
% 14.43/3.33 % (1563199)Instructions burned: 139 (million)
% 14.43/3.33 % (1563206)lrs+10_1_sil=8000:sp=occurrence:random_seed=1436441507:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 14.43/3.33 % (1563206)Instruction limit reached!
% 14.43/3.33 % (1563206)------------------------------
% 14.43/3.33 % (1563206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.43/3.33 % (1563206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.43/3.33 % (1563206)CaDiCaL version: 2.1.3
% 14.43/3.33 % (1563206)Termination reason: Instruction limit
% 14.43/3.33 % (1563206)Termination phase: Saturation
% 14.43/3.33 % (1563206)Time elapsed: 0.150 s
% 14.43/3.33 % (1563206)Peak memory usage: 92 MB
% 14.43/3.33 % (1563206)Instructions burned: 285 (million)
% 14.43/3.33 % (1563209)lrs+10_1_sil=32000:urr=on:br=off:random_seed=864426197:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 14.43/3.33 % (1563210)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1488183227:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 14.43/3.33 % (1563211)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3430817874:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 14.43/3.33 % (1563209)Instruction limit reached!
% 14.43/3.33 % (1563209)------------------------------
% 14.43/3.33 % (1563209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.43/3.33 % (1563209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.43/3.33 % (1563209)CaDiCaL version: 2.1.3
% 14.43/3.33 % (1563209)Termination reason: Instruction limit
% 14.43/3.33 % (1563209)Termination phase: Saturation
% 14.43/3.33 % (1563209)Time elapsed: 0.146 s
% 14.43/3.33 % (1563209)Peak memory usage: 93 MB
% 14.43/3.33 % (1563209)Instructions burned: 158 (million)
% 14.43/3.33 % (1563213)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=205787442:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 14.43/3.33 % (1563211)Instruction limit reached!
% 14.43/3.33 % (1563211)------------------------------
% 14.43/3.33 % (1563211)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.43/3.33 % (1563211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.43/3.33 % (1563211)CaDiCaL version: 2.1.3
% 14.43/3.33 % (1563211)Termination reason: Instruction limit
% 14.43/3.33 % (1563211)Termination phase: Saturation
% 14.43/3.33 % (1563211)Time elapsed: 0.208 s
% 14.43/3.33 % (1563211)Peak memory usage: 94 MB
% 14.43/3.33 % (1563211)Instructions burned: 249 (million)
% 14.43/3.33 % (1563210)Instruction limit reached!
% 14.43/3.33 % (1563210)------------------------------
% 14.43/3.33 % (1563210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.43/3.33 % (1563210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.43/3.33 % (1563210)CaDiCaL version: 2.1.3
% 14.43/3.33 % (1563210)Termination reason: Instruction limit
% 14.43/3.33 % (1563210)Termination phase: Saturation
% 14.43/3.33 % (1563210)Time elapsed: 0.346 s
% 14.43/3.33 % (1563210)Peak memory usage: 92 MB
% 14.43/3.33 % (1563210)Instructions burned: 326 (million)
% 14.43/3.33 % (1563213)Instruction limit reached!
% 14.43/3.33 % (1563213)------------------------------
% 14.43/3.33 % (1563213)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.43/3.33 % (1563213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.43/3.33 % (1563213)CaDiCaL version: 2.1.3
% 14.43/3.33 % (1563213)Termination reason: Instruction limit
% 14.43/3.33 % (1563213)Termination phase: Saturation
% 14.43/3.33 % (1563213)Time elapsed: 0.155 s
% 14.43/3.33 % (1563213)Peak memory usage: 91 MB
% 14.43/3.33 % (1563213)Instructions burned: 294 (million)
% 14.43/3.33 % (1563217)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=239791930:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 14.43/3.33 % (1563219)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4235840926:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 14.43/3.33 % (1563221)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4217903702:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 14.43/3.33 % (1563220)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3529195421:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 14.43/3.33 % (1563219)Instruction limit reached!
% 14.43/3.33 % (1563219)------------------------------
% 14.43/3.33 % (1563219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.43/3.33 % (1563219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.43/3.33 % (1563219)CaDiCaL version: 2.1.3
% 14.43/3.33 % (1563219)Termination reason: Instruction limit
% 14.43/3.33 % (1563219)Termination phase: Saturation
% 14.43/3.33 % (1563219)Time elapsed: 0.121 s
% 14.43/3.33 % (1563219)Peak memory usage: 90 MB
% 14.43/3.33 % (1563219)Instructions burned: 113 (million)
% 14.43/3.33 % (1563221)Instruction limit reached!
% 14.43/3.33 % (1563221)------------------------------
% 14.43/3.33 % (1563221)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.43/3.33 % (1563221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.43/3.33 % (1563221)CaDiCaL version: 2.1.3
% 14.43/3.33 % (1563221)Termination reason: Instruction limit
% 14.43/3.33 % (1563221)Termination phase: Saturation
% 14.43/3.33 % (1563221)Time elapsed: 0.052 s
% 14.43/3.33 % (1563221)Peak memory usage: 89 MB
% 14.43/3.33 % (1563221)Instructions burned: 115 (million)
% 14.43/3.33 % (1563220)Instruction limit reached!
% 14.43/3.33 % (1563220)------------------------------
% 14.43/3.33 % (1563220)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.43/3.33 % (1563220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.43/3.33 % (1563220)CaDiCaL version: 2.1.3
% 14.43/3.33 % (1563220)Termination reason: Instruction limit
% 14.43/3.33 % (1563220)Termination phase: Saturation
% 14.43/3.33 % (1563220)Time elapsed: 0.116 s
% 14.43/3.33 % (1563220)Peak memory usage: 89 MB
% 14.43/3.33 % (1563220)Instructions burned: 127 (million)
% 14.43/3.33 % (1563227)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1440673173:i=437:sd=1:aac=none:ss=included_2986 on theBenchmark for (2986ds/437Mi)
% 14.43/3.33 % (1563226)lrs+10_1_sil=8000:sp=occurrence:random_seed=2242122822:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2986 on theBenchmark for (2986ds/907Mi)
% 14.43/3.33 % (1563228)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=225794940:i=5202:ss=axioms:sgt=16_2985 on theBenchmark for (2985ds/5202Mi)
% 14.43/3.33 % (1563227)Instruction limit reached!
% 14.43/3.33 % (1563227)------------------------------
% 14.43/3.33 % (1563227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.43/3.33 % (1563227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.43/3.33 % (1563227)CaDiCaL version: 2.1.3
% 14.43/3.33 % (1563227)Termination reason: Instruction limit
% 14.43/3.33 % (1563227)Termination phase: Saturation
% 14.43/3.33 % (1563227)Time elapsed: 0.235 s
% 14.43/3.33 % (1563227)Peak memory usage: 93 MB
% 14.43/3.33 % (1563227)Instructions burned: 437 (million)
% 14.43/3.33 % (1563194)First to succeed.
% 14.43/3.33 % (1563194)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1563189"
% 14.43/3.33 % (1563234)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3388521405:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2981 on theBenchmark for (2981ds/134Mi)
% 14.43/3.33 % (1563234)Instruction limit reached!
% 14.43/3.33 % (1563234)------------------------------
% 14.43/3.33 % (1563234)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.43/3.33 % (1563234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.43/3.33 % (1563234)CaDiCaL version: 2.1.3
% 14.43/3.33 % (1563234)Termination reason: Instruction limit
% 14.43/3.33 % (1563234)Termination phase: Saturation
% 14.43/3.33 % (1563234)Time elapsed: 0.064 s
% 14.43/3.33 % (1563234)Peak memory usage: 92 MB
% 14.43/3.33 % (1563234)Instructions burned: 137 (million)
% 14.43/3.33 % (1563194)Refutation found. Thanks to Tanya!
% 14.43/3.33 % SZS status Theorem for theBenchmark
% 14.43/3.33 % SZS output start Proof for theBenchmark
% See solution above
% 17.38/3.54 % (1563194)------------------------------
% 17.38/3.54 % (1563194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.38/3.54 % (1563194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.38/3.54 % (1563194)CaDiCaL version: 2.1.3
% 17.38/3.54 % (1563194)Termination reason: Refutation
% 17.38/3.54 % (1563194)Time elapsed: 1.600 s
% 17.38/3.54 % (1563194)Peak memory usage: 133 MB
% 17.38/3.54 % (1563194)Instructions burned: 1467 (million)
% 17.38/3.54 % (1563194)------------------------------
% 17.38/3.54 % (1563194)------------------------------
% 17.38/3.54 % (1563189)Success in time 2.349 s
% 17.38/3.54 % Vampire exiting
%------------------------------------------------------------------------------