%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM440+6 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 2.46s 1.31s
% Output : Refutation 3.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 42
% Syntax : Number of formulae : 229 ( 34 unt; 40 def)
% Number of atoms : 1436 ( 45 equ)
% Maximal formula atoms : 64 ( 6 avg)
% Number of connectives : 1739 ( 532 ~; 484 |; 570 &)
% ( 100 <=>; 50 =>; 0 <=; 3 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 50 ( 48 usr; 39 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-2 aty)
% Number of variables : 266 ( 0 sgn 220 !; 46 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox2/benchmark/theBenchmark.p',m__1826) ).
fof(f40,conjecture,
( ( ( aSet0(stldt0(xA))
& ! [X0] :
( aElementOf0(X0,stldt0(xA))
<=> ( aInteger0(X0)
& ~ aElementOf0(X0,xA) ) ) )
=> ( ( aSet0(cS1395)
& ! [X0] :
( aElementOf0(X0,cS1395)
<=> aInteger0(X0) ) )
=> ( ! [X0] :
( aElementOf0(X0,stldt0(xA))
=> aElementOf0(X0,cS1395) )
| aSubsetOf0(stldt0(xA),cS1395) ) ) )
& ( ( aSet0(stldt0(xB))
& ! [X0] :
( aElementOf0(X0,stldt0(xB))
<=> ( aInteger0(X0)
& ~ aElementOf0(X0,xB) ) ) )
=> ( ( aSet0(cS1395)
& ! [X0] :
( aElementOf0(X0,cS1395)
<=> aInteger0(X0) ) )
=> ( ! [X0] :
( aElementOf0(X0,stldt0(xB))
=> aElementOf0(X0,cS1395) )
| aSubsetOf0(stldt0(xB),cS1395) ) ) )
& ( ( 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(xA))
<=> ( aInteger0(X0)
& ~ aElementOf0(X0,xA) ) )
=> ( ! [X0] :
( aElementOf0(X0,stldt0(xB))
<=> ( aInteger0(X0)
& ~ aElementOf0(X0,xB) ) )
=> ( ! [X0] :
( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( aInteger0(X0)
& aElementOf0(X0,stldt0(xA))
& aElementOf0(X0,stldt0(xB)) ) )
| stldt0(sdtbsmnsldt0(xA,xB)) = sdtslmnbsdt0(stldt0(xA),stldt0(xB)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f41,negated_conjecture,
~ ( ( ( aSet0(stldt0(xA))
& ! [X0] :
( aElementOf0(X0,stldt0(xA))
<=> ( aInteger0(X0)
& ~ aElementOf0(X0,xA) ) ) )
=> ( ( aSet0(cS1395)
& ! [X0] :
( aElementOf0(X0,cS1395)
<=> aInteger0(X0) ) )
=> ( ! [X0] :
( aElementOf0(X0,stldt0(xA))
=> aElementOf0(X0,cS1395) )
| aSubsetOf0(stldt0(xA),cS1395) ) ) )
& ( ( aSet0(stldt0(xB))
& ! [X0] :
( aElementOf0(X0,stldt0(xB))
<=> ( aInteger0(X0)
& ~ aElementOf0(X0,xB) ) ) )
=> ( ( aSet0(cS1395)
& ! [X0] :
( aElementOf0(X0,cS1395)
<=> aInteger0(X0) ) )
=> ( ! [X0] :
( aElementOf0(X0,stldt0(xB))
=> aElementOf0(X0,cS1395) )
| aSubsetOf0(stldt0(xB),cS1395) ) ) )
& ( ( 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(xA))
<=> ( aInteger0(X0)
& ~ aElementOf0(X0,xA) ) )
=> ( ! [X0] :
( aElementOf0(X0,stldt0(xB))
<=> ( aInteger0(X0)
& ~ aElementOf0(X0,xB) ) )
=> ( ! [X0] :
( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( aInteger0(X0)
& aElementOf0(X0,stldt0(xA))
& aElementOf0(X0,stldt0(xB)) ) )
| stldt0(sdtbsmnsldt0(xA,xB)) = sdtslmnbsdt0(stldt0(xA),stldt0(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(stldt0(xA))
& ! [X0] :
( aElementOf0(X0,stldt0(xA))
<=> ( aInteger0(X0)
& ~ aElementOf0(X0,xA) ) ) )
=> ( ( aSet0(cS1395)
& ! [X1] :
( aElementOf0(X1,cS1395)
<=> aInteger0(X1) ) )
=> ( ! [X2] :
( aElementOf0(X2,stldt0(xA))
=> aElementOf0(X2,cS1395) )
| aSubsetOf0(stldt0(xA),cS1395) ) ) )
& ( ( aSet0(stldt0(xB))
& ! [X3] :
( aElementOf0(X3,stldt0(xB))
<=> ( aInteger0(X3)
& ~ aElementOf0(X3,xB) ) ) )
=> ( ( aSet0(cS1395)
& ! [X4] :
( aElementOf0(X4,cS1395)
<=> aInteger0(X4) ) )
=> ( ! [X5] :
( aElementOf0(X5,stldt0(xB))
=> aElementOf0(X5,cS1395) )
| aSubsetOf0(stldt0(xB),cS1395) ) ) )
& ( ( aSet0(sdtbsmnsldt0(xA,xB))
& ! [X6] :
( aElementOf0(X6,sdtbsmnsldt0(xA,xB))
<=> ( aInteger0(X6)
& ( aElementOf0(X6,xA)
| aElementOf0(X6,xB) ) ) ) )
=> ( ( aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X7] :
( aElementOf0(X7,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( aInteger0(X7)
& ~ aElementOf0(X7,sdtbsmnsldt0(xA,xB)) ) ) )
=> ( ! [X8] :
( aElementOf0(X8,stldt0(xA))
<=> ( aInteger0(X8)
& ~ aElementOf0(X8,xA) ) )
=> ( ! [X9] :
( aElementOf0(X9,stldt0(xB))
<=> ( aInteger0(X9)
& ~ aElementOf0(X9,xB) ) )
=> ( ! [X10] :
( aElementOf0(X10,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( aInteger0(X10)
& aElementOf0(X10,stldt0(xA))
& aElementOf0(X10,stldt0(xB)) ) )
| stldt0(sdtbsmnsldt0(xA,xB)) = sdtslmnbsdt0(stldt0(xA),stldt0(xB)) ) ) ) ) ) ),
inference(rectify,[],[f41]) ).
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] :
( ~ aElementOf0(X2,cS1395)
& aElementOf0(X2,stldt0(xA)) )
& ~ aSubsetOf0(stldt0(xA),cS1395)
& aSet0(cS1395)
& ! [X1] :
( aElementOf0(X1,cS1395)
<=> aInteger0(X1) )
& aSet0(stldt0(xA))
& ! [X0] :
( aElementOf0(X0,stldt0(xA))
<=> ( aInteger0(X0)
& ~ aElementOf0(X0,xA) ) ) )
| ( ? [X5] :
( ~ aElementOf0(X5,cS1395)
& aElementOf0(X5,stldt0(xB)) )
& ~ aSubsetOf0(stldt0(xB),cS1395)
& aSet0(cS1395)
& ! [X4] :
( aElementOf0(X4,cS1395)
<=> aInteger0(X4) )
& aSet0(stldt0(xB))
& ! [X3] :
( aElementOf0(X3,stldt0(xB))
<=> ( aInteger0(X3)
& ~ aElementOf0(X3,xB) ) ) )
| ( ? [X10] :
( aElementOf0(X10,stldt0(sdtbsmnsldt0(xA,xB)))
<~> ( aInteger0(X10)
& aElementOf0(X10,stldt0(xA))
& aElementOf0(X10,stldt0(xB)) ) )
& stldt0(sdtbsmnsldt0(xA,xB)) != sdtslmnbsdt0(stldt0(xA),stldt0(xB))
& ! [X9] :
( aElementOf0(X9,stldt0(xB))
<=> ( aInteger0(X9)
& ~ aElementOf0(X9,xB) ) )
& ! [X8] :
( aElementOf0(X8,stldt0(xA))
<=> ( aInteger0(X8)
& ~ aElementOf0(X8,xA) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X7] :
( aElementOf0(X7,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( aInteger0(X7)
& ~ aElementOf0(X7,sdtbsmnsldt0(xA,xB)) ) )
& aSet0(sdtbsmnsldt0(xA,xB))
& ! [X6] :
( aElementOf0(X6,sdtbsmnsldt0(xA,xB))
<=> ( aInteger0(X6)
& ( aElementOf0(X6,xA)
| aElementOf0(X6,xB) ) ) ) ) ),
inference(ennf_transformation,[],[f49]) ).
fof(f103,plain,
( ( ? [X2] :
( ~ aElementOf0(X2,cS1395)
& aElementOf0(X2,stldt0(xA)) )
& ~ aSubsetOf0(stldt0(xA),cS1395)
& aSet0(cS1395)
& ! [X1] :
( aElementOf0(X1,cS1395)
<=> aInteger0(X1) )
& aSet0(stldt0(xA))
& ! [X0] :
( aElementOf0(X0,stldt0(xA))
<=> ( aInteger0(X0)
& ~ aElementOf0(X0,xA) ) ) )
| ( ? [X5] :
( ~ aElementOf0(X5,cS1395)
& aElementOf0(X5,stldt0(xB)) )
& ~ aSubsetOf0(stldt0(xB),cS1395)
& aSet0(cS1395)
& ! [X4] :
( aElementOf0(X4,cS1395)
<=> aInteger0(X4) )
& aSet0(stldt0(xB))
& ! [X3] :
( aElementOf0(X3,stldt0(xB))
<=> ( aInteger0(X3)
& ~ aElementOf0(X3,xB) ) ) )
| ( ? [X10] :
( aElementOf0(X10,stldt0(sdtbsmnsldt0(xA,xB)))
<~> ( aInteger0(X10)
& aElementOf0(X10,stldt0(xA))
& aElementOf0(X10,stldt0(xB)) ) )
& stldt0(sdtbsmnsldt0(xA,xB)) != sdtslmnbsdt0(stldt0(xA),stldt0(xB))
& ! [X9] :
( aElementOf0(X9,stldt0(xB))
<=> ( aInteger0(X9)
& ~ aElementOf0(X9,xB) ) )
& ! [X8] :
( aElementOf0(X8,stldt0(xA))
<=> ( aInteger0(X8)
& ~ aElementOf0(X8,xA) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X7] :
( aElementOf0(X7,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( aInteger0(X7)
& ~ aElementOf0(X7,sdtbsmnsldt0(xA,xB)) ) )
& aSet0(sdtbsmnsldt0(xA,xB))
& ! [X6] :
( aElementOf0(X6,sdtbsmnsldt0(xA,xB))
<=> ( aInteger0(X6)
& ( aElementOf0(X6,xA)
| aElementOf0(X6,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,
( ! [X6] :
( aElementOf0(X6,sdtbsmnsldt0(xA,xB))
<=> ( aInteger0(X6)
& ( aElementOf0(X6,xA)
| aElementOf0(X6,xB) ) ) )
| ~ sP8 ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f117,definition,
( ? [X10] :
( aElementOf0(X10,stldt0(sdtbsmnsldt0(xA,xB)))
<~> ( aInteger0(X10)
& aElementOf0(X10,stldt0(xA))
& aElementOf0(X10,stldt0(xB)) ) )
| ~ sP9 ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f118,definition,
( ! [X7] :
( aElementOf0(X7,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( aInteger0(X7)
& ~ aElementOf0(X7,sdtbsmnsldt0(xA,xB)) ) )
| ~ sP10 ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f119,definition,
( ! [X8] :
( aElementOf0(X8,stldt0(xA))
<=> ( aInteger0(X8)
& ~ aElementOf0(X8,xA) ) )
| ~ sP11 ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f120,definition,
( ! [X9] :
( aElementOf0(X9,stldt0(xB))
<=> ( aInteger0(X9)
& ~ aElementOf0(X9,xB) ) )
| ~ sP12 ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f121,definition,
( ! [X3] :
( aElementOf0(X3,stldt0(xB))
<=> ( aInteger0(X3)
& ~ aElementOf0(X3,xB) ) )
| ~ sP13 ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f122,definition,
( ! [X0] :
( aElementOf0(X0,stldt0(xA))
<=> ( aInteger0(X0)
& ~ aElementOf0(X0,xA) ) )
| ~ sP14 ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f123,definition,
( ( sP9
& stldt0(sdtbsmnsldt0(xA,xB)) != sdtslmnbsdt0(stldt0(xA),stldt0(xB))
& sP12
& sP11
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& sP10
& aSet0(sdtbsmnsldt0(xA,xB))
& sP8 )
| ~ sP15 ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f124,definition,
( ( ? [X5] :
( ~ aElementOf0(X5,cS1395)
& aElementOf0(X5,stldt0(xB)) )
& ~ aSubsetOf0(stldt0(xB),cS1395)
& aSet0(cS1395)
& ! [X4] :
( aElementOf0(X4,cS1395)
<=> aInteger0(X4) )
& aSet0(stldt0(xB))
& sP13 )
| ~ sP16 ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f125,plain,
( ( ? [X2] :
( ~ aElementOf0(X2,cS1395)
& aElementOf0(X2,stldt0(xA)) )
& ~ aSubsetOf0(stldt0(xA),cS1395)
& aSet0(cS1395)
& ! [X1] :
( aElementOf0(X1,cS1395)
<=> aInteger0(X1) )
& aSet0(stldt0(xA))
& sP14 )
| sP16
| sP15 ),
inference(definition_folding,[],[f103,f124,f123,f122,f121,f120,f119,f118,f117,f116]) ).
fof(f177,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(f178,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,[],[f177]) ).
fof(f179,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,[],[f178]) ).
fof(f180,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(sK33(X5))
& sz00 != sK33(X5)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X5,sK33(X5)))
& sP7(X5,sK33(X5))
& ! [X7] :
( aElementOf0(X7,stldt0(xA))
| ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X5,sK33(X5))) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X5,sK33(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(sK34(X9))
& sz00 != sK34(X9)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X9,sK34(X9)))
& sP6(X9,sK34(X9))
& ! [X11] :
( aElementOf0(X11,stldt0(xB))
| ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,sK34(X9))) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X9,sK34(X9)),stldt0(xB)) )
| ~ aElementOf0(X9,stldt0(xB)) )
& isOpen0(stldt0(xB))
& isClosed0(xB) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK33,sK34]),skolemize(X6,sK33(X5)),skolemize(X10,sK34(X9))],[f179]) ).
fof(f181,plain,
( ( ? [X5] :
( ~ aElementOf0(X5,cS1395)
& aElementOf0(X5,stldt0(xB)) )
& ~ aSubsetOf0(stldt0(xB),cS1395)
& aSet0(cS1395)
& ! [X4] :
( ( aElementOf0(X4,cS1395)
| ~ aInteger0(X4) )
& ( aInteger0(X4)
| ~ aElementOf0(X4,cS1395) ) )
& aSet0(stldt0(xB))
& sP13 )
| ~ sP16 ),
inference(nnf_transformation,[],[f124]) ).
fof(f182,plain,
( ( ? [X0] :
( ~ aElementOf0(X0,cS1395)
& aElementOf0(X0,stldt0(xB)) )
& ~ aSubsetOf0(stldt0(xB),cS1395)
& aSet0(cS1395)
& ! [X1] :
( ( aElementOf0(X1,cS1395)
| ~ aInteger0(X1) )
& ( aInteger0(X1)
| ~ aElementOf0(X1,cS1395) ) )
& aSet0(stldt0(xB))
& sP13 )
| ~ sP16 ),
inference(rectify,[],[f181]) ).
fof(f183,plain,
( ( ~ aElementOf0(sK35,cS1395)
& aElementOf0(sK35,stldt0(xB))
& ~ aSubsetOf0(stldt0(xB),cS1395)
& aSet0(cS1395)
& ! [X1] :
( ( aElementOf0(X1,cS1395)
| ~ aInteger0(X1) )
& ( aInteger0(X1)
| ~ aElementOf0(X1,cS1395) ) )
& aSet0(stldt0(xB))
& sP13 )
| ~ sP16 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK35]),skolemize(X0,sK35)],[f182]) ).
fof(f184,plain,
( ( sP9
& stldt0(sdtbsmnsldt0(xA,xB)) != sdtslmnbsdt0(stldt0(xA),stldt0(xB))
& sP12
& sP11
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& sP10
& aSet0(sdtbsmnsldt0(xA,xB))
& sP8 )
| ~ sP15 ),
inference(nnf_transformation,[],[f123]) ).
fof(f196,plain,
( ! [X7] :
( ( aElementOf0(X7,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aInteger0(X7)
| aElementOf0(X7,sdtbsmnsldt0(xA,xB)) )
& ( ( aInteger0(X7)
& ~ aElementOf0(X7,sdtbsmnsldt0(xA,xB)) )
| ~ aElementOf0(X7,stldt0(sdtbsmnsldt0(xA,xB))) ) )
| ~ sP10 ),
inference(nnf_transformation,[],[f118]) ).
fof(f197,plain,
( ! [X7] :
( ( aElementOf0(X7,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aInteger0(X7)
| aElementOf0(X7,sdtbsmnsldt0(xA,xB)) )
& ( ( aInteger0(X7)
& ~ aElementOf0(X7,sdtbsmnsldt0(xA,xB)) )
| ~ aElementOf0(X7,stldt0(sdtbsmnsldt0(xA,xB))) ) )
| ~ sP10 ),
inference(flattening,[],[f196]) ).
fof(f198,plain,
( ! [X0] :
( ( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aInteger0(X0)
| aElementOf0(X0,sdtbsmnsldt0(xA,xB)) )
& ( ( aInteger0(X0)
& ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB)) )
| ~ aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB))) ) )
| ~ sP10 ),
inference(rectify,[],[f197]) ).
fof(f199,plain,
( ? [X10] :
( ( ~ aInteger0(X10)
| ~ aElementOf0(X10,stldt0(xA))
| ~ aElementOf0(X10,stldt0(xB))
| ~ aElementOf0(X10,stldt0(sdtbsmnsldt0(xA,xB))) )
& ( ( aInteger0(X10)
& aElementOf0(X10,stldt0(xA))
& aElementOf0(X10,stldt0(xB)) )
| aElementOf0(X10,stldt0(sdtbsmnsldt0(xA,xB))) ) )
| ~ sP9 ),
inference(nnf_transformation,[],[f117]) ).
fof(f200,plain,
( ? [X10] :
( ( ~ aInteger0(X10)
| ~ aElementOf0(X10,stldt0(xA))
| ~ aElementOf0(X10,stldt0(xB))
| ~ aElementOf0(X10,stldt0(sdtbsmnsldt0(xA,xB))) )
& ( ( aInteger0(X10)
& aElementOf0(X10,stldt0(xA))
& aElementOf0(X10,stldt0(xB)) )
| aElementOf0(X10,stldt0(sdtbsmnsldt0(xA,xB))) ) )
| ~ sP9 ),
inference(flattening,[],[f199]) ).
fof(f201,plain,
( ? [X0] :
( ( ~ aInteger0(X0)
| ~ aElementOf0(X0,stldt0(xA))
| ~ aElementOf0(X0,stldt0(xB))
| ~ aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB))) )
& ( ( aInteger0(X0)
& aElementOf0(X0,stldt0(xA))
& aElementOf0(X0,stldt0(xB)) )
| aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB))) ) )
| ~ sP9 ),
inference(rectify,[],[f200]) ).
fof(f202,plain,
( ( ( ~ aInteger0(sK36)
| ~ aElementOf0(sK36,stldt0(xA))
| ~ aElementOf0(sK36,stldt0(xB))
| ~ aElementOf0(sK36,stldt0(sdtbsmnsldt0(xA,xB))) )
& ( ( aInteger0(sK36)
& aElementOf0(sK36,stldt0(xA))
& aElementOf0(sK36,stldt0(xB)) )
| aElementOf0(sK36,stldt0(sdtbsmnsldt0(xA,xB))) ) )
| ~ sP9 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK36]),skolemize(X0,sK36)],[f201]) ).
fof(f203,plain,
( ! [X6] :
( ( aElementOf0(X6,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X6)
| ( ~ aElementOf0(X6,xA)
& ~ aElementOf0(X6,xB) ) )
& ( ( aInteger0(X6)
& ( aElementOf0(X6,xA)
| aElementOf0(X6,xB) ) )
| ~ aElementOf0(X6,sdtbsmnsldt0(xA,xB)) ) )
| ~ sP8 ),
inference(nnf_transformation,[],[f116]) ).
fof(f204,plain,
( ! [X6] :
( ( aElementOf0(X6,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X6)
| ( ~ aElementOf0(X6,xA)
& ~ aElementOf0(X6,xB) ) )
& ( ( aInteger0(X6)
& ( aElementOf0(X6,xA)
| aElementOf0(X6,xB) ) )
| ~ aElementOf0(X6,sdtbsmnsldt0(xA,xB)) ) )
| ~ sP8 ),
inference(flattening,[],[f203]) ).
fof(f205,plain,
( ! [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)) ) )
| ~ sP8 ),
inference(rectify,[],[f204]) ).
fof(f206,plain,
( ( ? [X2] :
( ~ aElementOf0(X2,cS1395)
& aElementOf0(X2,stldt0(xA)) )
& ~ aSubsetOf0(stldt0(xA),cS1395)
& aSet0(cS1395)
& ! [X1] :
( ( aElementOf0(X1,cS1395)
| ~ aInteger0(X1) )
& ( aInteger0(X1)
| ~ aElementOf0(X1,cS1395) ) )
& aSet0(stldt0(xA))
& sP14 )
| sP16
| sP15 ),
inference(nnf_transformation,[],[f125]) ).
fof(f207,plain,
( ( ? [X0] :
( ~ aElementOf0(X0,cS1395)
& aElementOf0(X0,stldt0(xA)) )
& ~ aSubsetOf0(stldt0(xA),cS1395)
& aSet0(cS1395)
& ! [X1] :
( ( aElementOf0(X1,cS1395)
| ~ aInteger0(X1) )
& ( aInteger0(X1)
| ~ aElementOf0(X1,cS1395) ) )
& aSet0(stldt0(xA))
& sP14 )
| sP16
| sP15 ),
inference(rectify,[],[f206]) ).
fof(f208,plain,
( ( ~ aElementOf0(sK37,cS1395)
& aElementOf0(sK37,stldt0(xA))
& ~ aSubsetOf0(stldt0(xA),cS1395)
& aSet0(cS1395)
& ! [X1] :
( ( aElementOf0(X1,cS1395)
| ~ aInteger0(X1) )
& ( aInteger0(X1)
| ~ aElementOf0(X1,cS1395) ) )
& aSet0(stldt0(xA))
& sP14 )
| sP16
| sP15 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK37]),skolemize(X0,sK37)],[f207]) ).
fof(f336,plain,
! [X8] :
( ~ aElementOf0(X8,xB)
| ~ aElementOf0(X8,stldt0(xB)) ),
inference(cnf_transformation,[],[f180]) ).
fof(f337,plain,
! [X8] :
( aInteger0(X8)
| ~ aElementOf0(X8,stldt0(xB)) ),
inference(cnf_transformation,[],[f180]) ).
fof(f338,plain,
! [X8] :
( aElementOf0(X8,stldt0(xB))
| ~ aInteger0(X8)
| aElementOf0(X8,xB) ),
inference(cnf_transformation,[],[f180]) ).
fof(f348,plain,
! [X4] :
( ~ aElementOf0(X4,xA)
| ~ aElementOf0(X4,stldt0(xA)) ),
inference(cnf_transformation,[],[f180]) ).
fof(f349,plain,
! [X4] :
( aInteger0(X4)
| ~ aElementOf0(X4,stldt0(xA)) ),
inference(cnf_transformation,[],[f180]) ).
fof(f350,plain,
! [X4] :
( aElementOf0(X4,stldt0(xA))
| ~ aInteger0(X4)
| aElementOf0(X4,xA) ),
inference(cnf_transformation,[],[f180]) ).
fof(f356,plain,
! [X2] :
( aElementOf0(X2,cS1395)
| ~ aInteger0(X2) ),
inference(cnf_transformation,[],[f180]) ).
fof(f370,plain,
( aElementOf0(sK35,stldt0(xB))
| ~ sP16 ),
inference(cnf_transformation,[],[f183]) ).
fof(f371,plain,
( ~ aElementOf0(sK35,cS1395)
| ~ sP16 ),
inference(cnf_transformation,[],[f183]) ).
fof(f372,plain,
( sP8
| ~ sP15 ),
inference(cnf_transformation,[],[f184]) ).
fof(f374,plain,
( sP10
| ~ sP15 ),
inference(cnf_transformation,[],[f184]) ).
fof(f379,plain,
( sP9
| ~ sP15 ),
inference(cnf_transformation,[],[f184]) ).
fof(f392,plain,
! [X0] :
( ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ sP10 ),
inference(cnf_transformation,[],[f198]) ).
fof(f393,plain,
! [X0] :
( aInteger0(X0)
| ~ aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ sP10 ),
inference(cnf_transformation,[],[f198]) ).
fof(f394,plain,
! [X0] :
( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aInteger0(X0)
| aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ sP10 ),
inference(cnf_transformation,[],[f198]) ).
fof(f395,plain,
( aElementOf0(sK36,stldt0(xB))
| aElementOf0(sK36,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ sP9 ),
inference(cnf_transformation,[],[f202]) ).
fof(f396,plain,
( aElementOf0(sK36,stldt0(xA))
| aElementOf0(sK36,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ sP9 ),
inference(cnf_transformation,[],[f202]) ).
fof(f397,plain,
( aInteger0(sK36)
| aElementOf0(sK36,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ sP9 ),
inference(cnf_transformation,[],[f202]) ).
fof(f398,plain,
( ~ aInteger0(sK36)
| ~ aElementOf0(sK36,stldt0(xA))
| ~ aElementOf0(sK36,stldt0(xB))
| ~ aElementOf0(sK36,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ sP9 ),
inference(cnf_transformation,[],[f202]) ).
fof(f399,plain,
! [X0] :
( aElementOf0(X0,xA)
| aElementOf0(X0,xB)
| ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ sP8 ),
inference(cnf_transformation,[],[f205]) ).
fof(f401,plain,
! [X0] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X0)
| ~ aElementOf0(X0,xB)
| ~ sP8 ),
inference(cnf_transformation,[],[f205]) ).
fof(f402,plain,
! [X0] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X0)
| ~ aElementOf0(X0,xA)
| ~ sP8 ),
inference(cnf_transformation,[],[f205]) ).
fof(f409,plain,
( aElementOf0(sK37,stldt0(xA))
| sP16
| sP15 ),
inference(cnf_transformation,[],[f208]) ).
fof(f410,plain,
( ~ aElementOf0(sK37,cS1395)
| sP16
| sP15 ),
inference(cnf_transformation,[],[f208]) ).
fof(f480,definition,
( spl39_1
<=> sP15 ),
introduced(definition,[new_symbols(definition,[spl39_1])],[avatar_definition]) ).
fof(f483,definition,
( spl39_2
<=> sP16 ),
introduced(definition,[new_symbols(definition,[spl39_2])],[avatar_definition]) ).
fof(f498,definition,
( spl39_6
<=> ! [X1] :
( aElementOf0(X1,cS1395)
| ~ aInteger0(X1) ) ),
introduced(definition,[new_symbols(definition,[spl39_6])],[avatar_definition]) ).
fof(f499,plain,
( ! [X1] :
( ~ aInteger0(X1)
| aElementOf0(X1,cS1395) )
| ~ spl39_6 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f510,definition,
( spl39_9
<=> aElementOf0(sK37,stldt0(xA)) ),
introduced(definition,[new_symbols(definition,[spl39_9])],[avatar_definition]) ).
fof(f511,plain,
( aElementOf0(sK37,stldt0(xA))
| ~ spl39_9 ),
inference(avatar_component_clause,[],[f510]) ).
fof(f512,plain,
( spl39_1
| spl39_2
| spl39_9 ),
inference(avatar_split_clause,[],[f409,f510,f483,f480]) ).
fof(f514,definition,
( spl39_10
<=> aElementOf0(sK37,cS1395) ),
introduced(definition,[new_symbols(definition,[spl39_10])],[avatar_definition]) ).
fof(f515,plain,
( ~ aElementOf0(sK37,cS1395)
| spl39_10 ),
inference(avatar_component_clause,[],[f514]) ).
fof(f516,plain,
( spl39_1
| spl39_2
| ~ spl39_10 ),
inference(avatar_split_clause,[],[f410,f514,f483,f480]) ).
fof(f518,definition,
( spl39_11
<=> sP8 ),
introduced(definition,[new_symbols(definition,[spl39_11])],[avatar_definition]) ).
fof(f521,definition,
( spl39_12
<=> ! [X0] :
( aElementOf0(X0,xA)
| ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| aElementOf0(X0,xB) ) ),
introduced(definition,[new_symbols(definition,[spl39_12])],[avatar_definition]) ).
fof(f522,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| aElementOf0(X0,xA)
| aElementOf0(X0,xB) )
| ~ spl39_12 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f523,plain,
( ~ spl39_11
| spl39_12 ),
inference(avatar_split_clause,[],[f399,f521,f518]) ).
fof(f529,definition,
( spl39_14
<=> ! [X0] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(X0,xB)
| ~ aInteger0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl39_14])],[avatar_definition]) ).
fof(f530,plain,
( ! [X0] :
( ~ aInteger0(X0)
| ~ aElementOf0(X0,xB)
| aElementOf0(X0,sdtbsmnsldt0(xA,xB)) )
| ~ spl39_14 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f531,plain,
( ~ spl39_11
| spl39_14 ),
inference(avatar_split_clause,[],[f401,f529,f518]) ).
fof(f533,definition,
( spl39_15
<=> ! [X0] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(X0,xA)
| ~ aInteger0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl39_15])],[avatar_definition]) ).
fof(f534,plain,
( ! [X0] :
( ~ aInteger0(X0)
| ~ aElementOf0(X0,xA)
| aElementOf0(X0,sdtbsmnsldt0(xA,xB)) )
| ~ spl39_15 ),
inference(avatar_component_clause,[],[f533]) ).
fof(f535,plain,
( ~ spl39_11
| spl39_15 ),
inference(avatar_split_clause,[],[f402,f533,f518]) ).
fof(f537,definition,
( spl39_16
<=> sP9 ),
introduced(definition,[new_symbols(definition,[spl39_16])],[avatar_definition]) ).
fof(f540,definition,
( spl39_17
<=> aElementOf0(sK36,stldt0(sdtbsmnsldt0(xA,xB))) ),
introduced(definition,[new_symbols(definition,[spl39_17])],[avatar_definition]) ).
fof(f541,plain,
( aElementOf0(sK36,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ spl39_17 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f543,definition,
( spl39_18
<=> aElementOf0(sK36,stldt0(xB)) ),
introduced(definition,[new_symbols(definition,[spl39_18])],[avatar_definition]) ).
fof(f544,plain,
( aElementOf0(sK36,stldt0(xB))
| ~ spl39_18 ),
inference(avatar_component_clause,[],[f543]) ).
fof(f545,plain,
( ~ spl39_16
| spl39_17
| spl39_18 ),
inference(avatar_split_clause,[],[f395,f543,f540,f537]) ).
fof(f547,definition,
( spl39_19
<=> aElementOf0(sK36,stldt0(xA)) ),
introduced(definition,[new_symbols(definition,[spl39_19])],[avatar_definition]) ).
fof(f548,plain,
( aElementOf0(sK36,stldt0(xA))
| ~ spl39_19 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f549,plain,
( ~ spl39_16
| spl39_17
| spl39_19 ),
inference(avatar_split_clause,[],[f396,f547,f540,f537]) ).
fof(f551,definition,
( spl39_20
<=> aInteger0(sK36) ),
introduced(definition,[new_symbols(definition,[spl39_20])],[avatar_definition]) ).
fof(f552,plain,
( aInteger0(sK36)
| ~ spl39_20 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f553,plain,
( ~ spl39_16
| spl39_17
| spl39_20 ),
inference(avatar_split_clause,[],[f397,f551,f540,f537]) ).
fof(f557,plain,
( ~ aInteger0(sK36)
| spl39_20 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f558,plain,
( ~ spl39_16
| ~ spl39_17
| ~ spl39_18
| ~ spl39_19
| ~ spl39_20 ),
inference(avatar_split_clause,[],[f398,f551,f547,f543,f540,f537]) ).
fof(f560,definition,
( spl39_21
<=> sP10 ),
introduced(definition,[new_symbols(definition,[spl39_21])],[avatar_definition]) ).
fof(f563,definition,
( spl39_22
<=> ! [X0] :
( ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB))) ) ),
introduced(definition,[new_symbols(definition,[spl39_22])],[avatar_definition]) ).
fof(f564,plain,
( ! [X0] :
( ~ aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB)) )
| ~ spl39_22 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f565,plain,
( ~ spl39_21
| spl39_22 ),
inference(avatar_split_clause,[],[f392,f563,f560]) ).
fof(f567,definition,
( spl39_23
<=> ! [X0] :
( aInteger0(X0)
| ~ aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB))) ) ),
introduced(definition,[new_symbols(definition,[spl39_23])],[avatar_definition]) ).
fof(f568,plain,
( ! [X0] :
( aInteger0(X0)
| ~ aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB))) )
| ~ spl39_23 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f569,plain,
( ~ spl39_21
| spl39_23 ),
inference(avatar_split_clause,[],[f393,f567,f560]) ).
fof(f571,definition,
( spl39_24
<=> ! [X0] :
( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl39_24])],[avatar_definition]) ).
fof(f572,plain,
( ! [X0] :
( ~ aInteger0(X0)
| aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB))) )
| ~ spl39_24 ),
inference(avatar_component_clause,[],[f571]) ).
fof(f573,plain,
( ~ spl39_21
| spl39_24 ),
inference(avatar_split_clause,[],[f394,f571,f560]) ).
fof(f578,definition,
( spl39_26
<=> ! [X0] :
( ~ aElementOf0(X0,xA)
| ~ aElementOf0(X0,stldt0(xA)) ) ),
introduced(definition,[new_symbols(definition,[spl39_26])],[avatar_definition]) ).
fof(f579,plain,
( ! [X0] :
( ~ aElementOf0(X0,stldt0(xA))
| ~ aElementOf0(X0,xA) )
| ~ spl39_26 ),
inference(avatar_component_clause,[],[f578]) ).
fof(f582,definition,
( spl39_27
<=> ! [X0] :
( aInteger0(X0)
| ~ aElementOf0(X0,stldt0(xA)) ) ),
introduced(definition,[new_symbols(definition,[spl39_27])],[avatar_definition]) ).
fof(f583,plain,
( ! [X0] :
( aInteger0(X0)
| ~ aElementOf0(X0,stldt0(xA)) )
| ~ spl39_27 ),
inference(avatar_component_clause,[],[f582]) ).
fof(f586,definition,
( spl39_28
<=> ! [X0] :
( aElementOf0(X0,stldt0(xA))
| aElementOf0(X0,xA)
| ~ aInteger0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl39_28])],[avatar_definition]) ).
fof(f587,plain,
( ! [X0] :
( ~ aInteger0(X0)
| aElementOf0(X0,xA)
| aElementOf0(X0,stldt0(xA)) )
| ~ spl39_28 ),
inference(avatar_component_clause,[],[f586]) ).
fof(f593,definition,
( spl39_30
<=> ! [X0] :
( ~ aElementOf0(X0,xB)
| ~ aElementOf0(X0,stldt0(xB)) ) ),
introduced(definition,[new_symbols(definition,[spl39_30])],[avatar_definition]) ).
fof(f594,plain,
( ! [X0] :
( ~ aElementOf0(X0,stldt0(xB))
| ~ aElementOf0(X0,xB) )
| ~ spl39_30 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f597,definition,
( spl39_31
<=> ! [X0] :
( aInteger0(X0)
| ~ aElementOf0(X0,stldt0(xB)) ) ),
introduced(definition,[new_symbols(definition,[spl39_31])],[avatar_definition]) ).
fof(f598,plain,
( ! [X0] :
( aInteger0(X0)
| ~ aElementOf0(X0,stldt0(xB)) )
| ~ spl39_31 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f601,definition,
( spl39_32
<=> ! [X0] :
( aElementOf0(X0,stldt0(xB))
| aElementOf0(X0,xB)
| ~ aInteger0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl39_32])],[avatar_definition]) ).
fof(f602,plain,
( ! [X0] :
( ~ aInteger0(X0)
| aElementOf0(X0,xB)
| aElementOf0(X0,stldt0(xB)) )
| ~ spl39_32 ),
inference(avatar_component_clause,[],[f601]) ).
fof(f616,plain,
( ~ spl39_1
| spl39_11 ),
inference(avatar_split_clause,[],[f372,f518,f480]) ).
fof(f622,plain,
( ~ spl39_1
| spl39_21 ),
inference(avatar_split_clause,[],[f374,f560,f480]) ).
fof(f636,plain,
( ~ spl39_1
| spl39_16 ),
inference(avatar_split_clause,[],[f379,f537,f480]) ).
fof(f652,definition,
( spl39_39
<=> aElementOf0(sK35,stldt0(xB)) ),
introduced(definition,[new_symbols(definition,[spl39_39])],[avatar_definition]) ).
fof(f653,plain,
( aElementOf0(sK35,stldt0(xB))
| ~ spl39_39 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f654,plain,
( ~ spl39_2
| spl39_39 ),
inference(avatar_split_clause,[],[f370,f652,f483]) ).
fof(f656,definition,
( spl39_40
<=> aElementOf0(sK35,cS1395) ),
introduced(definition,[new_symbols(definition,[spl39_40])],[avatar_definition]) ).
fof(f657,plain,
( ~ aElementOf0(sK35,cS1395)
| spl39_40 ),
inference(avatar_component_clause,[],[f656]) ).
fof(f658,plain,
( ~ spl39_2
| ~ spl39_40 ),
inference(avatar_split_clause,[],[f371,f656,f483]) ).
fof(f659,plain,
spl39_30,
inference(avatar_split_clause,[],[f336,f593]) ).
fof(f660,plain,
spl39_31,
inference(avatar_split_clause,[],[f337,f597]) ).
fof(f661,plain,
spl39_32,
inference(avatar_split_clause,[],[f338,f601]) ).
fof(f663,plain,
spl39_26,
inference(avatar_split_clause,[],[f348,f578]) ).
fof(f664,plain,
spl39_27,
inference(avatar_split_clause,[],[f349,f582]) ).
fof(f665,plain,
spl39_28,
inference(avatar_split_clause,[],[f350,f586]) ).
fof(f668,plain,
spl39_6,
inference(avatar_split_clause,[],[f356,f498]) ).
fof(f687,plain,
( ! [X0] :
( ~ aElementOf0(X0,stldt0(xA))
| aElementOf0(X0,cS1395) )
| ~ spl39_6
| ~ spl39_27 ),
inference(resolution,[],[f583,f499]) ).
fof(f690,plain,
( ! [X0] :
( ~ aElementOf0(X0,stldt0(xB))
| aElementOf0(X0,cS1395) )
| ~ spl39_6
| ~ spl39_31 ),
inference(resolution,[],[f598,f499]) ).
fof(f693,plain,
( aElementOf0(sK37,cS1395)
| ~ spl39_6
| ~ spl39_9
| ~ spl39_27 ),
inference(resolution,[],[f687,f511]) ).
fof(f695,plain,
( $false
| ~ spl39_6
| ~ spl39_9
| spl39_10
| ~ spl39_27 ),
inference(resolution,[],[f693,f515]) ).
fof(f696,plain,
( ~ spl39_6
| ~ spl39_9
| spl39_10
| ~ spl39_27 ),
inference(avatar_contradiction_clause,[],[f695]) ).
fof(f697,plain,
( aElementOf0(sK35,cS1395)
| ~ spl39_6
| ~ spl39_31
| ~ spl39_39 ),
inference(resolution,[],[f653,f690]) ).
fof(f702,plain,
( $false
| ~ spl39_6
| ~ spl39_31
| ~ spl39_39
| spl39_40 ),
inference(resolution,[],[f697,f657]) ).
fof(f703,plain,
( ~ spl39_6
| ~ spl39_31
| ~ spl39_39
| spl39_40 ),
inference(avatar_contradiction_clause,[],[f702]) ).
fof(f722,plain,
( ~ aElementOf0(sK36,stldt0(sdtbsmnsldt0(xA,xB)))
| spl39_20
| ~ spl39_23 ),
inference(resolution,[],[f568,f557]) ).
fof(f723,plain,
( ~ spl39_17
| spl39_20
| ~ spl39_23 ),
inference(avatar_split_clause,[],[f722,f567,f551,f540]) ).
fof(f728,definition,
( spl39_46
<=> aElementOf0(sK36,xA) ),
introduced(definition,[new_symbols(definition,[spl39_46])],[avatar_definition]) ).
fof(f731,plain,
( aElementOf0(sK36,xA)
| aElementOf0(sK36,stldt0(xA))
| ~ spl39_20
| ~ spl39_28 ),
inference(resolution,[],[f552,f587]) ).
fof(f733,plain,
( spl39_19
| spl39_46
| ~ spl39_20
| ~ spl39_28 ),
inference(avatar_split_clause,[],[f731,f586,f551,f728,f547]) ).
fof(f741,plain,
( aElementOf0(sK36,xB)
| aElementOf0(sK36,stldt0(xB))
| ~ spl39_20
| ~ spl39_32 ),
inference(resolution,[],[f602,f552]) ).
fof(f743,definition,
( spl39_47
<=> aElementOf0(sK36,xB) ),
introduced(definition,[new_symbols(definition,[spl39_47])],[avatar_definition]) ).
fof(f745,plain,
( spl39_18
| spl39_47
| ~ spl39_20
| ~ spl39_32 ),
inference(avatar_split_clause,[],[f741,f601,f551,f743,f543]) ).
fof(f751,plain,
( ~ aElementOf0(sK36,xB)
| aElementOf0(sK36,sdtbsmnsldt0(xA,xB))
| ~ spl39_14
| ~ spl39_20 ),
inference(resolution,[],[f530,f552]) ).
fof(f753,definition,
( spl39_48
<=> aElementOf0(sK36,sdtbsmnsldt0(xA,xB)) ),
introduced(definition,[new_symbols(definition,[spl39_48])],[avatar_definition]) ).
fof(f754,plain,
( aElementOf0(sK36,sdtbsmnsldt0(xA,xB))
| ~ spl39_48 ),
inference(avatar_component_clause,[],[f753]) ).
fof(f756,plain,
( spl39_48
| ~ spl39_47
| ~ spl39_14
| ~ spl39_20 ),
inference(avatar_split_clause,[],[f751,f551,f529,f743,f753]) ).
fof(f759,plain,
( ~ aElementOf0(sK36,xB)
| ~ spl39_18
| ~ spl39_30 ),
inference(resolution,[],[f544,f594]) ).
fof(f760,plain,
( ~ spl39_47
| ~ spl39_18
| ~ spl39_30 ),
inference(avatar_split_clause,[],[f759,f593,f543,f743]) ).
fof(f769,plain,
( ~ aElementOf0(sK36,xA)
| aElementOf0(sK36,sdtbsmnsldt0(xA,xB))
| ~ spl39_15
| ~ spl39_20 ),
inference(resolution,[],[f534,f552]) ).
fof(f771,plain,
( spl39_48
| ~ spl39_46
| ~ spl39_15
| ~ spl39_20 ),
inference(avatar_split_clause,[],[f769,f551,f533,f728,f753]) ).
fof(f802,plain,
( ~ aElementOf0(sK36,sdtbsmnsldt0(xA,xB))
| ~ spl39_17
| ~ spl39_22 ),
inference(resolution,[],[f564,f541]) ).
fof(f808,plain,
( aElementOf0(sK36,sdtbsmnsldt0(xA,xB))
| aElementOf0(sK36,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ spl39_20
| ~ spl39_24 ),
inference(resolution,[],[f572,f552]) ).
fof(f860,plain,
( aElementOf0(sK36,xA)
| aElementOf0(sK36,xB)
| ~ spl39_12
| ~ spl39_48 ),
inference(resolution,[],[f754,f522]) ).
fof(f862,plain,
( $false
| ~ spl39_17
| ~ spl39_22
| ~ spl39_48 ),
inference(resolution,[],[f802,f754]) ).
fof(f865,plain,
( ~ spl39_17
| ~ spl39_22
| ~ spl39_48 ),
inference(avatar_contradiction_clause,[],[f862]) ).
fof(f867,plain,
( ~ aElementOf0(sK36,xA)
| ~ spl39_19
| ~ spl39_26 ),
inference(resolution,[],[f548,f579]) ).
fof(f869,plain,
( ~ spl39_46
| ~ spl39_19
| ~ spl39_26 ),
inference(avatar_split_clause,[],[f867,f578,f547,f728]) ).
fof(f870,plain,
( spl39_17
| spl39_48
| ~ spl39_20
| ~ spl39_24 ),
inference(avatar_split_clause,[],[f808,f571,f551,f753,f540]) ).
fof(f871,plain,
( spl39_47
| spl39_46
| ~ spl39_12
| ~ spl39_48 ),
inference(avatar_split_clause,[],[f860,f753,f521,f728,f743]) ).
cnf(s7,plain,
( spl39_1
| spl39_2
| spl39_9 ),
inference(sat_conversion,[],[f512]) ).
cnf(s8,plain,
( spl39_1
| spl39_2
| ~ spl39_10 ),
inference(sat_conversion,[],[f516]) ).
cnf(s9,plain,
( ~ spl39_11
| spl39_12 ),
inference(sat_conversion,[],[f523]) ).
cnf(s11,plain,
( ~ spl39_11
| spl39_14 ),
inference(sat_conversion,[],[f531]) ).
cnf(s12,plain,
( ~ spl39_11
| spl39_15 ),
inference(sat_conversion,[],[f535]) ).
cnf(s13,plain,
( ~ spl39_16
| spl39_17
| spl39_18 ),
inference(sat_conversion,[],[f545]) ).
cnf(s14,plain,
( ~ spl39_16
| spl39_17
| spl39_19 ),
inference(sat_conversion,[],[f549]) ).
cnf(s15,plain,
( ~ spl39_16
| spl39_17
| spl39_20 ),
inference(sat_conversion,[],[f553]) ).
cnf(s16,plain,
( ~ spl39_16
| ~ spl39_17
| ~ spl39_18
| ~ spl39_19
| ~ spl39_20 ),
inference(sat_conversion,[],[f558]) ).
cnf(s17,plain,
( ~ spl39_21
| spl39_22 ),
inference(sat_conversion,[],[f565]) ).
cnf(s18,plain,
( ~ spl39_21
| spl39_23 ),
inference(sat_conversion,[],[f569]) ).
cnf(s19,plain,
( ~ spl39_21
| spl39_24 ),
inference(sat_conversion,[],[f573]) ).
cnf(s32,plain,
( ~ spl39_1
| spl39_11 ),
inference(sat_conversion,[],[f616]) ).
cnf(s34,plain,
( ~ spl39_1
| spl39_21 ),
inference(sat_conversion,[],[f622]) ).
cnf(s39,plain,
( ~ spl39_1
| spl39_16 ),
inference(sat_conversion,[],[f636]) ).
cnf(s46,plain,
( ~ spl39_2
| spl39_39 ),
inference(sat_conversion,[],[f654]) ).
cnf(s47,plain,
( ~ spl39_2
| ~ spl39_40 ),
inference(sat_conversion,[],[f658]) ).
cnf(s48,plain,
spl39_30,
inference(sat_conversion,[],[f659]) ).
cnf(s49,plain,
spl39_31,
inference(sat_conversion,[],[f660]) ).
cnf(s50,plain,
spl39_32,
inference(sat_conversion,[],[f661]) ).
cnf(s52,plain,
spl39_26,
inference(sat_conversion,[],[f663]) ).
cnf(s53,plain,
spl39_27,
inference(sat_conversion,[],[f664]) ).
cnf(s54,plain,
spl39_28,
inference(sat_conversion,[],[f665]) ).
cnf(s57,plain,
spl39_6,
inference(sat_conversion,[],[f668]) ).
cnf(s64,plain,
( ~ spl39_6
| ~ spl39_9
| spl39_10
| ~ spl39_27 ),
inference(sat_conversion,[],[f696]) ).
cnf(s65,plain,
( ~ spl39_6
| ~ spl39_31
| ~ spl39_39
| spl39_40 ),
inference(sat_conversion,[],[f703]) ).
cnf(s68,plain,
( ~ spl39_17
| spl39_20
| ~ spl39_23 ),
inference(sat_conversion,[],[f723]) ).
cnf(s70,plain,
( spl39_19
| ~ spl39_20
| ~ spl39_28
| spl39_46 ),
inference(sat_conversion,[],[f733]) ).
cnf(s72,plain,
( spl39_18
| ~ spl39_20
| ~ spl39_32
| spl39_47 ),
inference(sat_conversion,[],[f745]) ).
cnf(s73,plain,
( ~ spl39_14
| ~ spl39_20
| ~ spl39_47
| spl39_48 ),
inference(sat_conversion,[],[f756]) ).
cnf(s74,plain,
( ~ spl39_18
| ~ spl39_30
| ~ spl39_47 ),
inference(sat_conversion,[],[f760]) ).
cnf(s75,plain,
( ~ spl39_15
| ~ spl39_20
| ~ spl39_46
| spl39_48 ),
inference(sat_conversion,[],[f771]) ).
cnf(s88,plain,
( ~ spl39_17
| ~ spl39_22
| ~ spl39_48 ),
inference(sat_conversion,[],[f865]) ).
cnf(s90,plain,
( ~ spl39_19
| ~ spl39_26
| ~ spl39_46 ),
inference(sat_conversion,[],[f869]) ).
cnf(s91,plain,
( spl39_17
| ~ spl39_20
| ~ spl39_24
| spl39_48 ),
inference(sat_conversion,[],[f870]) ).
cnf(s92,plain,
( ~ spl39_12
| spl39_46
| spl39_47
| ~ spl39_48 ),
inference(sat_conversion,[],[f871]) ).
cnf(s94,plain,
( spl39_2
| spl39_1 ),
inference(rat,[],[s64,s7,s8,s53,s57]) ).
cnf(s95,plain,
~ spl39_2,
inference(rat,[],[s65,s46,s47,s57,s49]) ).
cnf(s96,plain,
spl39_1,
inference(rat,[],[s94,s95]) ).
cnf(s97,plain,
spl39_16,
inference(rat,[],[s39,s96]) ).
cnf(s102,plain,
spl39_21,
inference(rat,[],[s34,s96]) ).
cnf(s104,plain,
spl39_11,
inference(rat,[],[s32,s96]) ).
cnf(s105,plain,
spl39_24,
inference(rat,[],[s19,s102]) ).
cnf(s106,plain,
spl39_23,
inference(rat,[],[s18,s102]) ).
cnf(s107,plain,
spl39_22,
inference(rat,[],[s17,s102]) ).
cnf(s108,plain,
spl39_15,
inference(rat,[],[s12,s104]) ).
cnf(s109,plain,
spl39_14,
inference(rat,[],[s11,s104]) ).
cnf(s111,plain,
spl39_12,
inference(rat,[],[s9,s104]) ).
cnf(s112,plain,
spl39_17,
inference(rat,[],[s92,s74,s90,s91,s13,s14,s15,s111,s48,s52,s105,s97]) ).
cnf(s113,plain,
spl39_20,
inference(rat,[],[s68,s106,s112]) ).
cnf(s114,plain,
~ spl39_48,
inference(rat,[],[s88,s107,s112]) ).
cnf(s115,plain,
~ spl39_46,
inference(rat,[],[s75,s114,s108,s113]) ).
cnf(s116,plain,
~ spl39_47,
inference(rat,[],[s73,s114,s109,s113]) ).
cnf(s117,plain,
spl39_18,
inference(rat,[],[s72,s116,s50,s113]) ).
cnf(s119,plain,
spl39_19,
inference(rat,[],[s70,s115,s54,s113]) ).
cnf(s120,plain,
$false,
inference(rat,[],[s16,s113,s112,s97,s119,s117]) ).
fof(f872,plain,
$false,
inference(avatar_sat_refutation,[],[s120]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM440+6 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n007.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 19:53:40 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.46/1.31 % (1742217)Detected formulas, will run a generic FOF schedule.
% 2.46/1.31 % (1742226)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1306494429:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.46/1.31 % (1742226)Instruction limit reached!
% 2.46/1.31 % (1742226)------------------------------
% 2.46/1.31 % (1742226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.46/1.31 % (1742226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/1.31 % (1742226)CaDiCaL version: 2.1.3
% 2.46/1.31 % (1742226)Termination reason: Instruction limit
% 2.46/1.31 % (1742226)Termination phase: Saturation
% 2.46/1.31 % (1742226)Time elapsed: 0.039 s
% 2.46/1.31 % (1742226)Peak memory usage: 88 MB
% 2.46/1.31 % (1742226)Instructions burned: 119 (million)
% 2.46/1.31 % (1742228)dis-21_1_sil=8000:lcm=predicate:random_seed=79433623: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)
% 2.46/1.31 % (1742227)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3790105868:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.46/1.31 % (1742224)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=2985260712:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.46/1.31 % (1742223)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=2080073526:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.46/1.31 % (1742222)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=3050335337:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.46/1.31 % (1742225)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1928932896:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.46/1.31 % (1742228)First to succeed.
% 2.46/1.31 % (1742228)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1742217"
% 2.46/1.31 % (1742225)Instruction limit reached!
% 2.46/1.31 % (1742225)------------------------------
% 2.46/1.31 % (1742225)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.46/1.31 % (1742225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/1.31 % (1742225)CaDiCaL version: 2.1.3
% 2.46/1.31 % (1742225)Termination reason: Instruction limit
% 2.46/1.31 % (1742225)Termination phase: Saturation
% 2.46/1.31 % (1742225)Time elapsed: 0.071 s
% 2.46/1.31 % (1742225)Peak memory usage: 90 MB
% 2.46/1.31 % (1742225)Instructions burned: 110 (million)
% 2.46/1.31 % (1742227)Instruction limit reached!
% 2.46/1.31 % (1742227)------------------------------
% 2.46/1.31 % (1742227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.46/1.31 % (1742227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/1.31 % (1742227)CaDiCaL version: 2.1.3
% 2.46/1.31 % (1742227)Termination reason: Instruction limit
% 2.46/1.31 % (1742227)Termination phase: Saturation
% 2.46/1.31 % (1742227)Time elapsed: 0.095 s
% 2.46/1.31 % (1742227)Peak memory usage: 90 MB
% 2.46/1.31 % (1742227)Instructions burned: 139 (million)
% 2.46/1.31 % (1742236)lrs+10_1_sil=8000:sp=occurrence:random_seed=3877218890:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.46/1.31 % (1742236)Also succeeded, but the first one will report.
% 2.46/1.31 % (1742237)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2804569811:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.46/1.31 % (1742237)Also succeeded, but the first one will report.
% 2.46/1.31 % (1742238)lrs+1011_1_sil=32000:sp=occurrence:random_seed=895909585:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 2.46/1.31 % (1742228)Refutation found. Thanks to Tanya!
% 2.46/1.31 % SZS status Theorem for theBenchmark
% 2.46/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 3.79/1.51 % (1742228)------------------------------
% 3.79/1.51 % (1742228)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.79/1.51 % (1742228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/1.51 % (1742228)CaDiCaL version: 2.1.3
% 3.79/1.51 % (1742228)Termination reason: Refutation
% 3.79/1.51 % (1742228)Time elapsed: 0.013 s
% 3.79/1.51 % (1742228)Peak memory usage: 89 MB
% 3.79/1.51 % (1742228)Instructions burned: 20 (million)
% 3.79/1.51 % (1742228)------------------------------
% 3.79/1.51 % (1742228)------------------------------
% 3.79/1.51 % (1742217)Success in time 0.44 s
% 3.79/1.51 % Vampire exiting
%------------------------------------------------------------------------------