%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM441+6 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 12:24:19 PM UTC 2026
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 43 ( 8 unt; 3 def)
% Number of atoms : 1114 ( 66 equ)
% Maximal formula atoms : 67 ( 25 avg)
% Number of connectives : 1414 ( 343 ~; 277 |; 689 &)
% ( 59 <=>; 46 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 14 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 5 con; 0-2 aty)
% Number of variables : 271 ( 217 !; 54 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f38,axiom,
! [X0,X1] :
( ( aSubsetOf0(X0,cS1395)
& aSubsetOf0(X1,cS1395)
& isOpen0(X0)
& isOpen0(X1) )
=> isOpen0(sdtslmnbsdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mInterOpen) ).
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,axiom,
( 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/sandbox/benchmark/theBenchmark.p',m__1883) ).
fof(f41,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(f42,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)],[f41]) ).
fof(f49,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(f50,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,[],[f40]) ).
fof(f51,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,[],[f42]) ).
fof(f100,plain,
! [X0,X1] :
( isOpen0(sdtslmnbsdt0(X0,X1))
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ isOpen0(X0)
| ~ isOpen0(X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f101,plain,
! [X0,X1] :
( isOpen0(sdtslmnbsdt0(X0,X1))
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ isOpen0(X0)
| ~ isOpen0(X1) ),
inference(flattening,[],[f100]) ).
fof(f102,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,[],[f49]) ).
fof(f103,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,[],[f102]) ).
fof(f104,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,cS1395)
| ~ aElementOf0(X2,stldt0(xA)) )
& 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,cS1395)
| ~ aElementOf0(X5,stldt0(xB)) )
& 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(ennf_transformation,[],[f50]) ).
fof(f105,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,[],[f51]) ).
fof(f106,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,[],[f105]) ).
fof(f116,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(f117,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(f118,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,[],[f103,f117,f116]) ).
fof(f119,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(f120,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,[],[f106,f119]) ).
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] :
( ? [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,[],[f118]) ).
fof(f173,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,[],[f172]) ).
fof(f174,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,[],[f173]) ).
fof(f175,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))],[f174]) ).
fof(f176,plain,
( aSet0(stldt0(xA))
& ! [X0] :
( ( aElementOf0(X0,stldt0(xA))
| ~ aInteger0(X0)
| aElementOf0(X0,xA) )
& ( ( aInteger0(X0)
& ~ aElementOf0(X0,xA) )
| ~ aElementOf0(X0,stldt0(xA)) ) )
& aSet0(cS1395)
& ! [X1] :
( ( aElementOf0(X1,cS1395)
| ~ aInteger0(X1) )
& ( aInteger0(X1)
| ~ aElementOf0(X1,cS1395) ) )
& ! [X2] :
( aElementOf0(X2,cS1395)
| ~ aElementOf0(X2,stldt0(xA)) )
& aSubsetOf0(stldt0(xA),cS1395)
& aSet0(stldt0(xB))
& ! [X3] :
( ( aElementOf0(X3,stldt0(xB))
| ~ aInteger0(X3)
| aElementOf0(X3,xB) )
& ( ( aInteger0(X3)
& ~ aElementOf0(X3,xB) )
| ~ aElementOf0(X3,stldt0(xB)) ) )
& aSet0(cS1395)
& ! [X4] :
( ( aElementOf0(X4,cS1395)
| ~ aInteger0(X4) )
& ( aInteger0(X4)
| ~ aElementOf0(X4,cS1395) ) )
& ! [X5] :
( aElementOf0(X5,cS1395)
| ~ aElementOf0(X5,stldt0(xB)) )
& aSubsetOf0(stldt0(xB),cS1395)
& aSet0(sdtbsmnsldt0(xA,xB))
& ! [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)) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [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))) ) )
& ! [X8] :
( ( aElementOf0(X8,stldt0(xA))
| ~ aInteger0(X8)
| aElementOf0(X8,xA) )
& ( ( aInteger0(X8)
& ~ aElementOf0(X8,xA) )
| ~ aElementOf0(X8,stldt0(xA)) ) )
& ! [X9] :
( ( aElementOf0(X9,stldt0(xB))
| ~ aInteger0(X9)
| aElementOf0(X9,xB) )
& ( ( aInteger0(X9)
& ~ aElementOf0(X9,xB) )
| ~ aElementOf0(X9,stldt0(xB)) ) )
& ! [X10] :
( ( aElementOf0(X10,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aInteger0(X10)
| ~ aElementOf0(X10,stldt0(xA))
| ~ aElementOf0(X10,stldt0(xB)) )
& ( ( aInteger0(X10)
& aElementOf0(X10,stldt0(xA))
& aElementOf0(X10,stldt0(xB)) )
| ~ aElementOf0(X10,stldt0(sdtbsmnsldt0(xA,xB))) ) )
& stldt0(sdtbsmnsldt0(xA,xB)) = sdtslmnbsdt0(stldt0(xA),stldt0(xB)) ),
inference(nnf_transformation,[],[f104]) ).
fof(f177,plain,
( aSet0(stldt0(xA))
& ! [X0] :
( ( aElementOf0(X0,stldt0(xA))
| ~ aInteger0(X0)
| aElementOf0(X0,xA) )
& ( ( aInteger0(X0)
& ~ aElementOf0(X0,xA) )
| ~ aElementOf0(X0,stldt0(xA)) ) )
& aSet0(cS1395)
& ! [X1] :
( ( aElementOf0(X1,cS1395)
| ~ aInteger0(X1) )
& ( aInteger0(X1)
| ~ aElementOf0(X1,cS1395) ) )
& ! [X2] :
( aElementOf0(X2,cS1395)
| ~ aElementOf0(X2,stldt0(xA)) )
& aSubsetOf0(stldt0(xA),cS1395)
& aSet0(stldt0(xB))
& ! [X3] :
( ( aElementOf0(X3,stldt0(xB))
| ~ aInteger0(X3)
| aElementOf0(X3,xB) )
& ( ( aInteger0(X3)
& ~ aElementOf0(X3,xB) )
| ~ aElementOf0(X3,stldt0(xB)) ) )
& aSet0(cS1395)
& ! [X4] :
( ( aElementOf0(X4,cS1395)
| ~ aInteger0(X4) )
& ( aInteger0(X4)
| ~ aElementOf0(X4,cS1395) ) )
& ! [X5] :
( aElementOf0(X5,cS1395)
| ~ aElementOf0(X5,stldt0(xB)) )
& aSubsetOf0(stldt0(xB),cS1395)
& aSet0(sdtbsmnsldt0(xA,xB))
& ! [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)) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [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))) ) )
& ! [X8] :
( ( aElementOf0(X8,stldt0(xA))
| ~ aInteger0(X8)
| aElementOf0(X8,xA) )
& ( ( aInteger0(X8)
& ~ aElementOf0(X8,xA) )
| ~ aElementOf0(X8,stldt0(xA)) ) )
& ! [X9] :
( ( aElementOf0(X9,stldt0(xB))
| ~ aInteger0(X9)
| aElementOf0(X9,xB) )
& ( ( aInteger0(X9)
& ~ aElementOf0(X9,xB) )
| ~ aElementOf0(X9,stldt0(xB)) ) )
& ! [X10] :
( ( aElementOf0(X10,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aInteger0(X10)
| ~ aElementOf0(X10,stldt0(xA))
| ~ aElementOf0(X10,stldt0(xB)) )
& ( ( aInteger0(X10)
& aElementOf0(X10,stldt0(xA))
& aElementOf0(X10,stldt0(xB)) )
| ~ aElementOf0(X10,stldt0(sdtbsmnsldt0(xA,xB))) ) )
& stldt0(sdtbsmnsldt0(xA,xB)) = sdtslmnbsdt0(stldt0(xA),stldt0(xB)) ),
inference(flattening,[],[f176]) ).
fof(f181,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,[],[f120]) ).
fof(f182,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,[],[f181]) ).
fof(f183,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,[],[f182]) ).
fof(f184,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))],[f183]) ).
fof(f287,plain,
! [X0,X1] :
( isOpen0(sdtslmnbsdt0(X0,X1))
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ isOpen0(X0)
| ~ isOpen0(X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f305,plain,
isOpen0(stldt0(xB)),
inference(cnf_transformation,[],[f175]) ).
fof(f317,plain,
isOpen0(stldt0(xA)),
inference(cnf_transformation,[],[f175]) ).
fof(f340,plain,
stldt0(sdtbsmnsldt0(xA,xB)) = sdtslmnbsdt0(stldt0(xA),stldt0(xB)),
inference(cnf_transformation,[],[f177]) ).
fof(f360,plain,
aSubsetOf0(stldt0(xB),cS1395),
inference(cnf_transformation,[],[f177]) ).
fof(f369,plain,
aSubsetOf0(stldt0(xA),cS1395),
inference(cnf_transformation,[],[f177]) ).
fof(f396,plain,
~ isOpen0(stldt0(sdtbsmnsldt0(xA,xB))),
inference(cnf_transformation,[],[f184]) ).
fof(f1520,plain,
( isOpen0(stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aSubsetOf0(stldt0(xA),cS1395)
| ~ aSubsetOf0(stldt0(xB),cS1395)
| ~ isOpen0(stldt0(xA))
| ~ isOpen0(stldt0(xB)) ),
inference(superposition,[],[f287,f340]) ).
fof(f1521,plain,
( ~ aSubsetOf0(stldt0(xA),cS1395)
| ~ aSubsetOf0(stldt0(xB),cS1395)
| ~ isOpen0(stldt0(xA))
| ~ isOpen0(stldt0(xB)) ),
inference(forward_subsumption_resolution,[],[f1520,f396]) ).
fof(f1522,plain,
( ~ aSubsetOf0(stldt0(xB),cS1395)
| ~ isOpen0(stldt0(xA))
| ~ isOpen0(stldt0(xB)) ),
inference(forward_subsumption_resolution,[],[f1521,f369]) ).
fof(f1523,plain,
( ~ isOpen0(stldt0(xA))
| ~ isOpen0(stldt0(xB)) ),
inference(forward_subsumption_resolution,[],[f1522,f360]) ).
fof(f1524,plain,
~ isOpen0(stldt0(xB)),
inference(forward_subsumption_resolution,[],[f1523,f317]) ).
fof(f1525,plain,
$false,
inference(forward_subsumption_resolution,[],[f1524,f305]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM441+6 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 % Computer : n004.cluster.edu
% 0.11/0.41 % Model : x86_64 x86_64
% 0.11/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.41 % Memory : 8046.5625MB
% 0.11/0.41 % OS : Linux 6.8.0-71-generic
% 0.11/0.41 % CPULimit : 300
% 0.11/0.41 % WCLimit : 300
% 0.11/0.41 % DateTime : Sun Sep 27 19:55:52 UTC 2026
% 0.11/0.41 % CPUTime :
% 0.11/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.44 Running first-order model finding
% 0.11/0.44 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50 % (3837725)Will run a generic schedule for satisfiability detection.
% 0.19/0.50 % (3837733)dis+10_1_sil=32000:sp=arity:random_seed=1082473061:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.50 % (3837731)% WARNING: option uhcvi not known.
% 0.19/0.50 % (3837730)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2622181628_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.50 % (3837735)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1877589059:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.50 % (3837734)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1291240137:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.50 % (3837731)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4036672847:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.50 % (3837732)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4194747219:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.50 % (3837736)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3169433835:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.50 % (3837733) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3837725-3837733"...
% 0.19/0.50 % (3837733)...printing done.
% 0.19/0.50 % (3837733)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Theorem for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (3837733)------------------------------
% 0.19/0.50 % (3837733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.50 % (3837733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.50 % (3837733)CaDiCaL version: 2.1.3
% 0.19/0.50 % (3837733)Termination reason: Refutation
% 0.19/0.50 % (3837733)Time elapsed: 0.016 s
% 0.19/0.50 % (3837733)Peak memory usage: 12 MB
% 0.19/0.50 % (3837733)Instructions burned: 45 (million)
% 0.19/0.50 % (3837725)Success in time 0.048 s
% 0.19/0.50 % Vampire exiting
%------------------------------------------------------------------------------