%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM442+6 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 12:15:12 PM UTC 2026
% Result : Theorem 2.57s 1.31s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 10
% Syntax : Number of formulae : 104 ( 7 unt; 5 def)
% Number of atoms : 891 ( 122 equ)
% Maximal formula atoms : 56 ( 8 avg)
% Number of connectives : 1188 ( 401 ~; 408 |; 314 &)
% ( 18 <=>; 47 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 5 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-3 aty)
% Number of variables : 224 ( 175 !; 49 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f21,axiom,
! [X0,X1,X2] :
( ( aInteger0(X0)
& aInteger0(X1)
& aInteger0(X2)
& X2 != sz00 )
=> ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
=> sdteqdtlpzmzozddtrp0(X1,X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEquModSym) ).
fof(f22,axiom,
! [X0,X1,X2,X3] :
( ( aInteger0(X0)
& aInteger0(X1)
& aInteger0(X2)
& X2 != sz00
& aInteger0(X3) )
=> ( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
& sdteqdtlpzmzozddtrp0(X1,X3,X2) )
=> sdteqdtlpzmzozddtrp0(X0,X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEquModTrn) ).
fof(f34,axiom,
! [X0,X1] :
( ( aInteger0(X0)
& aInteger0(X1)
& X1 != sz00 )
=> ! [X2] :
( X2 = szAzrzSzezqlpdtcmdtrp0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aInteger0(X3)
& sdteqdtlpzmzozddtrp0(X3,X0,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mArSeq) ).
fof(f41,axiom,
( aInteger0(xa)
& aInteger0(xq)
& xq != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1962) ).
fof(f42,conjecture,
( ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X0] :
( ( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( aInteger0(X0)
& ? [X1] :
( aInteger0(X1)
& sdtasdt0(xq,X1) = sdtpldt0(X0,smndt0(xa)) )
& aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X0,xa,xq) ) )
& ( ( aInteger0(X0)
& ( ? [X1] :
( aInteger0(X1)
& sdtasdt0(xq,X1) = sdtpldt0(X0,smndt0(xa)) )
| aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
| sdteqdtlpzmzozddtrp0(X0,xa,xq) ) )
=> aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ) )
=> ( ( aSet0(cS1395)
& ! [X0] :
( aElementOf0(X0,cS1395)
<=> aInteger0(X0) ) )
=> ( ! [X0] :
( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> aElementOf0(X0,cS1395) )
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395) ) ) )
& ( ! [X0] :
( ( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( aInteger0(X0)
& ? [X1] :
( aInteger0(X1)
& sdtasdt0(xq,X1) = sdtpldt0(X0,smndt0(xa)) )
& aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X0,xa,xq) ) )
& ( ( aInteger0(X0)
& ( ? [X1] :
( aInteger0(X1)
& sdtasdt0(xq,X1) = sdtpldt0(X0,smndt0(xa)) )
| aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
| sdteqdtlpzmzozddtrp0(X0,xa,xq) ) )
=> aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
=> ( ( ( aSet0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ! [X0] :
( aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
<=> ( aInteger0(X0)
& ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ) )
=> ( ! [X0] :
( aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
=> ? [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(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) ) ) )
| isOpen0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) )
| isClosed0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f43,negated_conjecture,
~ ( ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X0] :
( ( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( aInteger0(X0)
& ? [X1] :
( aInteger0(X1)
& sdtasdt0(xq,X1) = sdtpldt0(X0,smndt0(xa)) )
& aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X0,xa,xq) ) )
& ( ( aInteger0(X0)
& ( ? [X1] :
( aInteger0(X1)
& sdtasdt0(xq,X1) = sdtpldt0(X0,smndt0(xa)) )
| aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
| sdteqdtlpzmzozddtrp0(X0,xa,xq) ) )
=> aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ) )
=> ( ( aSet0(cS1395)
& ! [X0] :
( aElementOf0(X0,cS1395)
<=> aInteger0(X0) ) )
=> ( ! [X0] :
( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> aElementOf0(X0,cS1395) )
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395) ) ) )
& ( ! [X0] :
( ( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( aInteger0(X0)
& ? [X1] :
( aInteger0(X1)
& sdtasdt0(xq,X1) = sdtpldt0(X0,smndt0(xa)) )
& aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X0,xa,xq) ) )
& ( ( aInteger0(X0)
& ( ? [X1] :
( aInteger0(X1)
& sdtasdt0(xq,X1) = sdtpldt0(X0,smndt0(xa)) )
| aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
| sdteqdtlpzmzozddtrp0(X0,xa,xq) ) )
=> aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
=> ( ( ( aSet0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ! [X0] :
( aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
<=> ( aInteger0(X0)
& ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ) )
=> ( ! [X0] :
( aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
=> ? [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(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) ) ) )
| isOpen0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) )
| isClosed0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ) ),
inference(negated_conjecture,[status(cth)],[f42]) ).
fof(f44,plain,
~ ( ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X0] :
( ( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( aInteger0(X0)
& ? [X1] :
( aInteger0(X1)
& sdtasdt0(xq,X1) = sdtpldt0(X0,smndt0(xa)) )
& aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X0,xa,xq) ) )
& ( ( aInteger0(X0)
& ( ? [X2] :
( aInteger0(X2)
& sdtpldt0(X0,smndt0(xa)) = sdtasdt0(xq,X2) )
| aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
| sdteqdtlpzmzozddtrp0(X0,xa,xq) ) )
=> aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ) )
=> ( ( aSet0(cS1395)
& ! [X3] :
( aElementOf0(X3,cS1395)
<=> aInteger0(X3) ) )
=> ( ! [X4] :
( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> aElementOf0(X4,cS1395) )
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395) ) ) )
& ( ! [X5] :
( ( aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( aInteger0(X5)
& ? [X6] :
( aInteger0(X6)
& sdtasdt0(xq,X6) = sdtpldt0(X5,smndt0(xa)) )
& aDivisorOf0(xq,sdtpldt0(X5,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X5,xa,xq) ) )
& ( ( aInteger0(X5)
& ( ? [X7] :
( aInteger0(X7)
& sdtpldt0(X5,smndt0(xa)) = sdtasdt0(xq,X7) )
| aDivisorOf0(xq,sdtpldt0(X5,smndt0(xa)))
| sdteqdtlpzmzozddtrp0(X5,xa,xq) ) )
=> aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
=> ( ( ( aSet0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ! [X8] :
( aElementOf0(X8,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
<=> ( aInteger0(X8)
& ~ aElementOf0(X8,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ) )
=> ( ! [X9] :
( aElementOf0(X9,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
=> ? [X10] :
( aInteger0(X10)
& sz00 != X10
& ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(X9,X10))
& ! [X11] :
( ( aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,X10))
=> ( aInteger0(X11)
& ? [X12] :
( aInteger0(X12)
& sdtasdt0(X10,X12) = sdtpldt0(X11,smndt0(X9)) )
& aDivisorOf0(X10,sdtpldt0(X11,smndt0(X9)))
& sdteqdtlpzmzozddtrp0(X11,X9,X10) ) )
& ( ( aInteger0(X11)
& ( ? [X13] :
( aInteger0(X13)
& sdtpldt0(X11,smndt0(X9)) = sdtasdt0(X10,X13) )
| aDivisorOf0(X10,sdtpldt0(X11,smndt0(X9)))
| sdteqdtlpzmzozddtrp0(X11,X9,X10) ) )
=> aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,X10)) ) ) )
=> ( ! [X14] :
( aElementOf0(X14,szAzrzSzezqlpdtcmdtrp0(X9,X10))
=> aElementOf0(X14,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X9,X10),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) ) ) )
| isOpen0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) )
| isClosed0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ) ),
inference(rectify,[],[f43]) ).
fof(f48,plain,
( ( ? [X4] :
( ~ aElementOf0(X4,cS1395)
& aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395)
& aSet0(cS1395)
& ! [X3] :
( aElementOf0(X3,cS1395)
<=> aInteger0(X3) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X0] :
( ( ( aInteger0(X0)
& ? [X1] :
( aInteger0(X1)
& sdtasdt0(xq,X1) = sdtpldt0(X0,smndt0(xa)) )
& aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X0,xa,xq) )
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(X0)
| ( ! [X2] :
( ~ aInteger0(X2)
| sdtpldt0(X0,smndt0(xa)) != sdtasdt0(xq,X2) )
& ~ aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
& ~ sdteqdtlpzmzozddtrp0(X0,xa,xq) ) ) ) )
| ( ? [X9] :
( ! [X10] :
( ~ aInteger0(X10)
| sz00 = X10
| ( ? [X14] :
( ~ aElementOf0(X14,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aElementOf0(X14,szAzrzSzezqlpdtcmdtrp0(X9,X10)) )
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X9,X10),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aSet0(szAzrzSzezqlpdtcmdtrp0(X9,X10))
& ! [X11] :
( ( ( aInteger0(X11)
& ? [X12] :
( aInteger0(X12)
& sdtasdt0(X10,X12) = sdtpldt0(X11,smndt0(X9)) )
& aDivisorOf0(X10,sdtpldt0(X11,smndt0(X9)))
& sdteqdtlpzmzozddtrp0(X11,X9,X10) )
| ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,X10)) )
& ( aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,X10))
| ~ aInteger0(X11)
| ( ! [X13] :
( ~ aInteger0(X13)
| sdtpldt0(X11,smndt0(X9)) != sdtasdt0(X10,X13) )
& ~ aDivisorOf0(X10,sdtpldt0(X11,smndt0(X9)))
& ~ sdteqdtlpzmzozddtrp0(X11,X9,X10) ) ) ) ) )
& aElementOf0(X9,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
& ~ isOpen0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aSet0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ! [X8] :
( aElementOf0(X8,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
<=> ( aInteger0(X8)
& ~ aElementOf0(X8,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
& ~ isClosed0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X5] :
( ( ( aInteger0(X5)
& ? [X6] :
( aInteger0(X6)
& sdtasdt0(xq,X6) = sdtpldt0(X5,smndt0(xa)) )
& aDivisorOf0(xq,sdtpldt0(X5,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X5,xa,xq) )
| ~ aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(X5)
| ( ! [X7] :
( ~ aInteger0(X7)
| sdtpldt0(X5,smndt0(xa)) != sdtasdt0(xq,X7) )
& ~ aDivisorOf0(xq,sdtpldt0(X5,smndt0(xa)))
& ~ sdteqdtlpzmzozddtrp0(X5,xa,xq) ) ) ) ) ),
inference(ennf_transformation,[],[f44]) ).
fof(f49,plain,
( ( ? [X4] :
( ~ aElementOf0(X4,cS1395)
& aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395)
& aSet0(cS1395)
& ! [X3] :
( aElementOf0(X3,cS1395)
<=> aInteger0(X3) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X0] :
( ( ( aInteger0(X0)
& ? [X1] :
( aInteger0(X1)
& sdtasdt0(xq,X1) = sdtpldt0(X0,smndt0(xa)) )
& aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X0,xa,xq) )
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(X0)
| ( ! [X2] :
( ~ aInteger0(X2)
| sdtpldt0(X0,smndt0(xa)) != sdtasdt0(xq,X2) )
& ~ aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
& ~ sdteqdtlpzmzozddtrp0(X0,xa,xq) ) ) ) )
| ( ? [X9] :
( ! [X10] :
( ~ aInteger0(X10)
| sz00 = X10
| ( ? [X14] :
( ~ aElementOf0(X14,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aElementOf0(X14,szAzrzSzezqlpdtcmdtrp0(X9,X10)) )
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X9,X10),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aSet0(szAzrzSzezqlpdtcmdtrp0(X9,X10))
& ! [X11] :
( ( ( aInteger0(X11)
& ? [X12] :
( aInteger0(X12)
& sdtasdt0(X10,X12) = sdtpldt0(X11,smndt0(X9)) )
& aDivisorOf0(X10,sdtpldt0(X11,smndt0(X9)))
& sdteqdtlpzmzozddtrp0(X11,X9,X10) )
| ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,X10)) )
& ( aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,X10))
| ~ aInteger0(X11)
| ( ! [X13] :
( ~ aInteger0(X13)
| sdtpldt0(X11,smndt0(X9)) != sdtasdt0(X10,X13) )
& ~ aDivisorOf0(X10,sdtpldt0(X11,smndt0(X9)))
& ~ sdteqdtlpzmzozddtrp0(X11,X9,X10) ) ) ) ) )
& aElementOf0(X9,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
& ~ isOpen0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aSet0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ! [X8] :
( aElementOf0(X8,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
<=> ( aInteger0(X8)
& ~ aElementOf0(X8,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
& ~ isClosed0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X5] :
( ( ( aInteger0(X5)
& ? [X6] :
( aInteger0(X6)
& sdtasdt0(xq,X6) = sdtpldt0(X5,smndt0(xa)) )
& aDivisorOf0(xq,sdtpldt0(X5,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X5,xa,xq) )
| ~ aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(X5)
| ( ! [X7] :
( ~ aInteger0(X7)
| sdtpldt0(X5,smndt0(xa)) != sdtasdt0(xq,X7) )
& ~ aDivisorOf0(xq,sdtpldt0(X5,smndt0(xa)))
& ~ sdteqdtlpzmzozddtrp0(X5,xa,xq) ) ) ) ) ),
inference(flattening,[],[f48]) ).
fof(f57,plain,
! [X0,X1,X2,X3] :
( sdteqdtlpzmzozddtrp0(X0,X3,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ sdteqdtlpzmzozddtrp0(X1,X3,X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sz00 = X2
| ~ aInteger0(X3) ),
inference(ennf_transformation,[],[f22]) ).
fof(f58,plain,
! [X0,X1,X2,X3] :
( sdteqdtlpzmzozddtrp0(X0,X3,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ sdteqdtlpzmzozddtrp0(X1,X3,X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sz00 = X2
| ~ aInteger0(X3) ),
inference(flattening,[],[f57]) ).
fof(f59,plain,
! [X0,X1,X2] :
( sdteqdtlpzmzozddtrp0(X1,X0,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sz00 = X2 ),
inference(ennf_transformation,[],[f21]) ).
fof(f60,plain,
! [X0,X1,X2] :
( sdteqdtlpzmzozddtrp0(X1,X0,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sz00 = X2 ),
inference(flattening,[],[f59]) ).
fof(f85,plain,
! [X0,X1] :
( ! [X2] :
( X2 = szAzrzSzezqlpdtcmdtrp0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aInteger0(X3)
& sdteqdtlpzmzozddtrp0(X3,X0,X1) ) ) ) )
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(ennf_transformation,[],[f34]) ).
fof(f86,plain,
! [X0,X1] :
( ! [X2] :
( X2 = szAzrzSzezqlpdtcmdtrp0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aInteger0(X3)
& sdteqdtlpzmzozddtrp0(X3,X0,X1) ) ) ) )
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(flattening,[],[f85]) ).
fof(f87,definition,
! [X9,X10] :
( ! [X11] :
( ( ( aInteger0(X11)
& ? [X12] :
( aInteger0(X12)
& sdtasdt0(X10,X12) = sdtpldt0(X11,smndt0(X9)) )
& aDivisorOf0(X10,sdtpldt0(X11,smndt0(X9)))
& sdteqdtlpzmzozddtrp0(X11,X9,X10) )
| ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,X10)) )
& ( aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,X10))
| ~ aInteger0(X11)
| ( ! [X13] :
( ~ aInteger0(X13)
| sdtpldt0(X11,smndt0(X9)) != sdtasdt0(X10,X13) )
& ~ aDivisorOf0(X10,sdtpldt0(X11,smndt0(X9)))
& ~ sdteqdtlpzmzozddtrp0(X11,X9,X10) ) ) )
| ~ sP0(X9,X10) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f88,definition,
( ! [X5] :
( ( ( aInteger0(X5)
& ? [X6] :
( aInteger0(X6)
& sdtasdt0(xq,X6) = sdtpldt0(X5,smndt0(xa)) )
& aDivisorOf0(xq,sdtpldt0(X5,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X5,xa,xq) )
| ~ aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(X5)
| ( ! [X7] :
( ~ aInteger0(X7)
| sdtpldt0(X5,smndt0(xa)) != sdtasdt0(xq,X7) )
& ~ aDivisorOf0(xq,sdtpldt0(X5,smndt0(xa)))
& ~ sdteqdtlpzmzozddtrp0(X5,xa,xq) ) ) )
| ~ sP1 ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f89,definition,
( ? [X9] :
( ! [X10] :
( ~ aInteger0(X10)
| sz00 = X10
| ( ? [X14] :
( ~ aElementOf0(X14,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aElementOf0(X14,szAzrzSzezqlpdtcmdtrp0(X9,X10)) )
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X9,X10),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aSet0(szAzrzSzezqlpdtcmdtrp0(X9,X10))
& sP0(X9,X10) ) )
& aElementOf0(X9,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
| ~ sP2 ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f90,definition,
( ! [X0] :
( ( ( aInteger0(X0)
& ? [X1] :
( aInteger0(X1)
& sdtasdt0(xq,X1) = sdtpldt0(X0,smndt0(xa)) )
& aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X0,xa,xq) )
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(X0)
| ( ! [X2] :
( ~ aInteger0(X2)
| sdtpldt0(X0,smndt0(xa)) != sdtasdt0(xq,X2) )
& ~ aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
& ~ sdteqdtlpzmzozddtrp0(X0,xa,xq) ) ) )
| ~ sP3 ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f91,definition,
( ( sP2
& ~ isOpen0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aSet0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ! [X8] :
( aElementOf0(X8,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
<=> ( aInteger0(X8)
& ~ aElementOf0(X8,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
& ~ isClosed0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& sP1 )
| ~ sP4 ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f92,plain,
( ( ? [X4] :
( ~ aElementOf0(X4,cS1395)
& aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395)
& aSet0(cS1395)
& ! [X3] :
( aElementOf0(X3,cS1395)
<=> aInteger0(X3) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& sP3 )
| sP4 ),
inference(definition_folding,[],[f49,f91,f90,f89,f88,f87]) ).
fof(f93,plain,
( ( sP2
& ~ isOpen0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aSet0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ! [X8] :
( ( aElementOf0(X8,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ~ aInteger0(X8)
| aElementOf0(X8,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( ( aInteger0(X8)
& ~ aElementOf0(X8,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
| ~ aElementOf0(X8,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) )
& ~ isClosed0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& sP1 )
| ~ sP4 ),
inference(nnf_transformation,[],[f91]) ).
fof(f94,plain,
( ( sP2
& ~ isOpen0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aSet0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ! [X8] :
( ( aElementOf0(X8,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ~ aInteger0(X8)
| aElementOf0(X8,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( ( aInteger0(X8)
& ~ aElementOf0(X8,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
| ~ aElementOf0(X8,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) )
& ~ isClosed0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& sP1 )
| ~ sP4 ),
inference(flattening,[],[f93]) ).
fof(f95,plain,
( ( sP2
& ~ isOpen0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aSet0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ! [X0] :
( ( aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ~ aInteger0(X0)
| aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( ( aInteger0(X0)
& ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
| ~ aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) )
& ~ isClosed0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& sP1 )
| ~ sP4 ),
inference(rectify,[],[f94]) ).
fof(f96,plain,
( ! [X0] :
( ( ( aInteger0(X0)
& ? [X1] :
( aInteger0(X1)
& sdtasdt0(xq,X1) = sdtpldt0(X0,smndt0(xa)) )
& aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X0,xa,xq) )
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(X0)
| ( ! [X2] :
( ~ aInteger0(X2)
| sdtpldt0(X0,smndt0(xa)) != sdtasdt0(xq,X2) )
& ~ aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
& ~ sdteqdtlpzmzozddtrp0(X0,xa,xq) ) ) )
| ~ sP3 ),
inference(nnf_transformation,[],[f90]) ).
fof(f97,plain,
( ! [X0] :
( ( ( aInteger0(X0)
& aInteger0(sK5(X0))
& sdtpldt0(X0,smndt0(xa)) = sdtasdt0(xq,sK5(X0))
& aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X0,xa,xq) )
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(X0)
| ( ! [X2] :
( ~ aInteger0(X2)
| sdtpldt0(X0,smndt0(xa)) != sdtasdt0(xq,X2) )
& ~ aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
& ~ sdteqdtlpzmzozddtrp0(X0,xa,xq) ) ) )
| ~ sP3 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X1,sK5(X0))],[f96]) ).
fof(f98,plain,
( ? [X9] :
( ! [X10] :
( ~ aInteger0(X10)
| sz00 = X10
| ( ? [X14] :
( ~ aElementOf0(X14,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aElementOf0(X14,szAzrzSzezqlpdtcmdtrp0(X9,X10)) )
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X9,X10),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aSet0(szAzrzSzezqlpdtcmdtrp0(X9,X10))
& sP0(X9,X10) ) )
& aElementOf0(X9,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
| ~ sP2 ),
inference(nnf_transformation,[],[f89]) ).
fof(f99,plain,
( ? [X0] :
( ! [X1] :
( ~ aInteger0(X1)
| sz00 = X1
| ( ? [X2] :
( ~ aElementOf0(X2,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sP0(X0,X1) ) )
& aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
| ~ sP2 ),
inference(rectify,[],[f98]) ).
fof(f100,plain,
( ( ! [X1] :
( ~ aInteger0(X1)
| sz00 = X1
| ( ~ aElementOf0(sK7(X1),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aElementOf0(sK7(X1),szAzrzSzezqlpdtcmdtrp0(sK6,X1))
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sK6,X1),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aSet0(szAzrzSzezqlpdtcmdtrp0(sK6,X1))
& sP0(sK6,X1) ) )
& aElementOf0(sK6,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
| ~ sP2 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X0,sK6),skolemize(X2,sK7(X1))],[f99]) ).
fof(f107,plain,
( ( ? [X4] :
( ~ aElementOf0(X4,cS1395)
& aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395)
& aSet0(cS1395)
& ! [X3] :
( ( aElementOf0(X3,cS1395)
| ~ aInteger0(X3) )
& ( aInteger0(X3)
| ~ aElementOf0(X3,cS1395) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& sP3 )
| sP4 ),
inference(nnf_transformation,[],[f92]) ).
fof(f108,plain,
( ( ? [X0] :
( ~ aElementOf0(X0,cS1395)
& aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395)
& aSet0(cS1395)
& ! [X1] :
( ( aElementOf0(X1,cS1395)
| ~ aInteger0(X1) )
& ( aInteger0(X1)
| ~ aElementOf0(X1,cS1395) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& sP3 )
| sP4 ),
inference(rectify,[],[f107]) ).
fof(f109,plain,
( ( ~ aElementOf0(sK10,cS1395)
& aElementOf0(sK10,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395)
& aSet0(cS1395)
& ! [X1] :
( ( aElementOf0(X1,cS1395)
| ~ aInteger0(X1) )
& ( aInteger0(X1)
| ~ aElementOf0(X1,cS1395) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& sP3 )
| sP4 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X0,sK10)],[f108]) ).
fof(f127,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = szAzrzSzezqlpdtcmdtrp0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
| ~ aElementOf0(X3,X2) )
& ( ( aInteger0(X3)
& sdteqdtlpzmzozddtrp0(X3,X0,X1) )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X3,X0,X1) )
& ( ( aInteger0(X3)
& sdteqdtlpzmzozddtrp0(X3,X0,X1) )
| ~ aElementOf0(X3,X2) ) ) )
| szAzrzSzezqlpdtcmdtrp0(X0,X1) != X2 ) )
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(nnf_transformation,[],[f86]) ).
fof(f128,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = szAzrzSzezqlpdtcmdtrp0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
| ~ aElementOf0(X3,X2) )
& ( ( aInteger0(X3)
& sdteqdtlpzmzozddtrp0(X3,X0,X1) )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X3,X0,X1) )
& ( ( aInteger0(X3)
& sdteqdtlpzmzozddtrp0(X3,X0,X1) )
| ~ aElementOf0(X3,X2) ) ) )
| szAzrzSzezqlpdtcmdtrp0(X0,X1) != X2 ) )
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(flattening,[],[f127]) ).
fof(f129,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = szAzrzSzezqlpdtcmdtrp0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
| ~ aElementOf0(X3,X2) )
& ( ( aInteger0(X3)
& sdteqdtlpzmzozddtrp0(X3,X0,X1) )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aInteger0(X4)
| ~ sdteqdtlpzmzozddtrp0(X4,X0,X1) )
& ( ( aInteger0(X4)
& sdteqdtlpzmzozddtrp0(X4,X0,X1) )
| ~ aElementOf0(X4,X2) ) ) )
| szAzrzSzezqlpdtcmdtrp0(X0,X1) != X2 ) )
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(rectify,[],[f128]) ).
fof(f130,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = szAzrzSzezqlpdtcmdtrp0(X0,X1)
| ~ aSet0(X2)
| ( ( ~ aInteger0(sK16(X0,X1,X2))
| ~ sdteqdtlpzmzozddtrp0(sK16(X0,X1,X2),X0,X1)
| ~ aElementOf0(sK16(X0,X1,X2),X2) )
& ( ( aInteger0(sK16(X0,X1,X2))
& sdteqdtlpzmzozddtrp0(sK16(X0,X1,X2),X0,X1) )
| aElementOf0(sK16(X0,X1,X2),X2) ) ) )
& ( ( aSet0(X2)
& ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aInteger0(X4)
| ~ sdteqdtlpzmzozddtrp0(X4,X0,X1) )
& ( ( aInteger0(X4)
& sdteqdtlpzmzozddtrp0(X4,X0,X1) )
| ~ aElementOf0(X4,X2) ) ) )
| szAzrzSzezqlpdtcmdtrp0(X0,X1) != X2 ) )
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X3,sK16(X0,X1,X2))],[f129]) ).
fof(f131,plain,
sz00 != xq,
inference(cnf_transformation,[],[f41]) ).
fof(f132,plain,
aInteger0(xq),
inference(cnf_transformation,[],[f41]) ).
fof(f133,plain,
aInteger0(xa),
inference(cnf_transformation,[],[f41]) ).
fof(f136,plain,
! [X0] :
( ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ~ sP4 ),
inference(cnf_transformation,[],[f95]) ).
fof(f137,plain,
! [X0] :
( aInteger0(X0)
| ~ aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ~ sP4 ),
inference(cnf_transformation,[],[f95]) ).
fof(f138,plain,
! [X0] :
( aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ~ aInteger0(X0)
| aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ sP4 ),
inference(cnf_transformation,[],[f95]) ).
fof(f141,plain,
( sP2
| ~ sP4 ),
inference(cnf_transformation,[],[f95]) ).
fof(f149,plain,
! [X0] :
( ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| aInteger0(X0)
| ~ sP3 ),
inference(cnf_transformation,[],[f97]) ).
fof(f150,plain,
( aElementOf0(sK6,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ~ sP2 ),
inference(cnf_transformation,[],[f100]) ).
fof(f154,plain,
! [X1] :
( aElementOf0(sK7(X1),szAzrzSzezqlpdtcmdtrp0(sK6,X1))
| sz00 = X1
| ~ aInteger0(X1)
| ~ sP2 ),
inference(cnf_transformation,[],[f100]) ).
fof(f155,plain,
! [X1] :
( ~ aElementOf0(sK7(X1),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| sz00 = X1
| ~ aInteger0(X1)
| ~ sP2 ),
inference(cnf_transformation,[],[f100]) ).
fof(f172,plain,
( sP4
| sP3 ),
inference(cnf_transformation,[],[f109]) ).
fof(f175,plain,
! [X1] :
( aElementOf0(X1,cS1395)
| ~ aInteger0(X1)
| sP4 ),
inference(cnf_transformation,[],[f109]) ).
fof(f178,plain,
( aElementOf0(sK10,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| sP4 ),
inference(cnf_transformation,[],[f109]) ).
fof(f179,plain,
( ~ aElementOf0(sK10,cS1395)
| sP4 ),
inference(cnf_transformation,[],[f109]) ).
fof(f193,plain,
! [X2,X3,X0,X1] :
( sdteqdtlpzmzozddtrp0(X0,X3,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ sdteqdtlpzmzozddtrp0(X1,X3,X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sz00 = X2
| ~ aInteger0(X3) ),
inference(cnf_transformation,[],[f58]) ).
fof(f194,plain,
! [X2,X0,X1] :
( sdteqdtlpzmzozddtrp0(X1,X0,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sz00 = X2 ),
inference(cnf_transformation,[],[f60]) ).
fof(f227,plain,
! [X2,X0,X1,X4] :
( sdteqdtlpzmzozddtrp0(X4,X0,X1)
| ~ aElementOf0(X4,X2)
| szAzrzSzezqlpdtcmdtrp0(X0,X1) != X2
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(cnf_transformation,[],[f130]) ).
fof(f228,plain,
! [X2,X0,X1,X4] :
( aInteger0(X4)
| ~ aElementOf0(X4,X2)
| szAzrzSzezqlpdtcmdtrp0(X0,X1) != X2
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(cnf_transformation,[],[f130]) ).
fof(f229,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aInteger0(X4)
| ~ sdteqdtlpzmzozddtrp0(X4,X0,X1)
| szAzrzSzezqlpdtcmdtrp0(X0,X1) != X2
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(cnf_transformation,[],[f130]) ).
fof(f241,plain,
! [X0,X1,X4] :
( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ~ aInteger0(X4)
| ~ sdteqdtlpzmzozddtrp0(X4,X0,X1)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(equality_resolution,[],[f229]) ).
fof(f242,plain,
! [X0,X1,X4] :
( ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| aInteger0(X4)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(equality_resolution,[],[f228]) ).
fof(f243,plain,
! [X0,X1,X4] :
( ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| sdteqdtlpzmzozddtrp0(X4,X0,X1)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(equality_resolution,[],[f227]) ).
fof(f244,plain,
( ~ aInteger0(sK10)
| sP4
| sP4 ),
inference(resolution,[],[f175,f179]) ).
fof(f247,plain,
( ~ aInteger0(sK10)
| sP4 ),
inference(duplicate_literal_removal,[],[f244]) ).
fof(f248,plain,
( aInteger0(sK10)
| ~ sP3
| sP4 ),
inference(resolution,[],[f149,f178]) ).
fof(f249,plain,
( ~ sP3
| sP4 ),
inference(forward_subsumption_resolution,[],[f248,f247]) ).
fof(f250,plain,
sP4,
inference(forward_subsumption_resolution,[],[f249,f172]) ).
fof(f277,plain,
! [X0] :
( ~ aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| aInteger0(X0) ),
inference(forward_subsumption_resolution,[],[f137,f250]) ).
fof(f278,plain,
( aInteger0(sK6)
| ~ sP2 ),
inference(resolution,[],[f277,f150]) ).
fof(f359,plain,
! [X0] :
( ~ aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(forward_subsumption_resolution,[],[f136,f250]) ).
fof(f361,plain,
( ~ aElementOf0(sK6,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ sP2 ),
inference(resolution,[],[f359,f150]) ).
fof(f510,plain,
! [X0] :
( aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ~ aInteger0(X0)
| aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(forward_subsumption_resolution,[],[f138,f250]) ).
fof(f515,plain,
! [X0] :
( aElementOf0(sK7(X0),szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(sK7(X0))
| sz00 = X0
| ~ aInteger0(X0)
| ~ sP2 ),
inference(resolution,[],[f510,f155]) ).
fof(f596,plain,
! [X0] :
( aInteger0(sK7(X0))
| ~ aInteger0(sK6)
| ~ aInteger0(X0)
| sz00 = X0
| sz00 = X0
| ~ aInteger0(X0)
| ~ sP2 ),
inference(resolution,[],[f242,f154]) ).
fof(f602,plain,
! [X0] :
( aInteger0(sK7(X0))
| ~ aInteger0(sK6)
| ~ aInteger0(X0)
| sz00 = X0
| ~ sP2 ),
inference(duplicate_literal_removal,[],[f596]) ).
fof(f604,plain,
! [X0] :
( aInteger0(sK7(X0))
| ~ aInteger0(X0)
| sz00 = X0
| ~ sP2 ),
inference(forward_subsumption_resolution,[],[f602,f278]) ).
fof(f795,plain,
! [X0] :
( sdteqdtlpzmzozddtrp0(sK7(X0),sK6,X0)
| ~ aInteger0(sK6)
| ~ aInteger0(X0)
| sz00 = X0
| sz00 = X0
| ~ aInteger0(X0)
| ~ sP2 ),
inference(resolution,[],[f243,f154]) ).
fof(f796,plain,
! [X0] :
( sdteqdtlpzmzozddtrp0(sK7(X0),xa,xq)
| ~ aInteger0(xa)
| ~ aInteger0(xq)
| sz00 = xq
| ~ aInteger0(sK7(X0))
| sz00 = X0
| ~ aInteger0(X0)
| ~ sP2 ),
inference(resolution,[],[f243,f515]) ).
fof(f802,plain,
! [X0] :
( sdteqdtlpzmzozddtrp0(sK7(X0),sK6,X0)
| ~ aInteger0(sK6)
| ~ aInteger0(X0)
| sz00 = X0
| ~ sP2 ),
inference(duplicate_literal_removal,[],[f795]) ).
fof(f805,plain,
! [X0] :
( sdteqdtlpzmzozddtrp0(sK7(X0),xa,xq)
| ~ aInteger0(xa)
| ~ aInteger0(xq)
| sz00 = xq
| sz00 = X0
| ~ aInteger0(X0)
| ~ sP2 ),
inference(forward_subsumption_resolution,[],[f796,f604]) ).
fof(f806,plain,
! [X0] :
( sdteqdtlpzmzozddtrp0(sK7(X0),sK6,X0)
| ~ aInteger0(X0)
| sz00 = X0
| ~ sP2 ),
inference(forward_subsumption_resolution,[],[f802,f278]) ).
fof(f809,plain,
! [X0] :
( sdteqdtlpzmzozddtrp0(sK7(X0),xa,xq)
| ~ aInteger0(xq)
| sz00 = xq
| sz00 = X0
| ~ aInteger0(X0)
| ~ sP2 ),
inference(forward_subsumption_resolution,[],[f805,f133]) ).
fof(f811,plain,
! [X0] :
( sdteqdtlpzmzozddtrp0(sK7(X0),xa,xq)
| sz00 = xq
| sz00 = X0
| ~ aInteger0(X0)
| ~ sP2 ),
inference(forward_subsumption_resolution,[],[f809,f132]) ).
fof(f812,plain,
! [X0] :
( sdteqdtlpzmzozddtrp0(sK7(X0),xa,xq)
| sz00 = X0
| ~ aInteger0(X0)
| ~ sP2 ),
inference(forward_subsumption_resolution,[],[f811,f131]) ).
fof(f1063,plain,
( ~ aInteger0(sK6)
| ~ sdteqdtlpzmzozddtrp0(sK6,xa,xq)
| ~ aInteger0(xa)
| ~ aInteger0(xq)
| sz00 = xq
| ~ sP2 ),
inference(resolution,[],[f241,f361]) ).
fof(f1082,plain,
( ~ sdteqdtlpzmzozddtrp0(sK6,xa,xq)
| ~ aInteger0(xa)
| ~ aInteger0(xq)
| sz00 = xq
| ~ sP2 ),
inference(forward_subsumption_resolution,[],[f1063,f278]) ).
fof(f1088,plain,
( ~ sdteqdtlpzmzozddtrp0(sK6,xa,xq)
| ~ aInteger0(xq)
| sz00 = xq
| ~ sP2 ),
inference(forward_subsumption_resolution,[],[f1082,f133]) ).
fof(f1094,plain,
( ~ sdteqdtlpzmzozddtrp0(sK6,xa,xq)
| sz00 = xq
| ~ sP2 ),
inference(forward_subsumption_resolution,[],[f1088,f132]) ).
fof(f1099,plain,
( ~ sdteqdtlpzmzozddtrp0(sK6,xa,xq)
| ~ sP2 ),
inference(forward_subsumption_resolution,[],[f1094,f131]) ).
fof(f1378,plain,
! [X0] :
( ~ sdteqdtlpzmzozddtrp0(sK6,X0,xq)
| ~ sdteqdtlpzmzozddtrp0(X0,xa,xq)
| ~ aInteger0(sK6)
| ~ aInteger0(X0)
| ~ aInteger0(xq)
| sz00 = xq
| ~ aInteger0(xa)
| ~ sP2 ),
inference(resolution,[],[f193,f1099]) ).
fof(f1417,plain,
! [X0] :
( ~ sdteqdtlpzmzozddtrp0(sK6,X0,xq)
| ~ sdteqdtlpzmzozddtrp0(X0,xa,xq)
| ~ aInteger0(X0)
| ~ aInteger0(xq)
| sz00 = xq
| ~ aInteger0(xa)
| ~ sP2 ),
inference(forward_subsumption_resolution,[],[f1378,f278]) ).
fof(f1437,plain,
! [X0] :
( ~ sdteqdtlpzmzozddtrp0(sK6,X0,xq)
| ~ sdteqdtlpzmzozddtrp0(X0,xa,xq)
| ~ aInteger0(X0)
| sz00 = xq
| ~ aInteger0(xa)
| ~ sP2 ),
inference(forward_subsumption_resolution,[],[f1417,f132]) ).
fof(f1457,plain,
! [X0] :
( ~ sdteqdtlpzmzozddtrp0(sK6,X0,xq)
| ~ sdteqdtlpzmzozddtrp0(X0,xa,xq)
| ~ aInteger0(X0)
| ~ aInteger0(xa)
| ~ sP2 ),
inference(forward_subsumption_resolution,[],[f1437,f131]) ).
fof(f1477,plain,
! [X0] :
( ~ sdteqdtlpzmzozddtrp0(sK6,X0,xq)
| ~ sdteqdtlpzmzozddtrp0(X0,xa,xq)
| ~ aInteger0(X0)
| ~ sP2 ),
inference(forward_subsumption_resolution,[],[f1457,f133]) ).
fof(f1480,plain,
! [X0] :
( ~ sdteqdtlpzmzozddtrp0(X0,xa,xq)
| ~ aInteger0(X0)
| ~ sP2
| ~ sdteqdtlpzmzozddtrp0(X0,sK6,xq)
| ~ aInteger0(X0)
| ~ aInteger0(sK6)
| ~ aInteger0(xq)
| sz00 = xq ),
inference(resolution,[],[f1477,f194]) ).
fof(f1481,plain,
! [X0] :
( ~ sdteqdtlpzmzozddtrp0(X0,xa,xq)
| ~ aInteger0(X0)
| ~ sP2
| ~ sdteqdtlpzmzozddtrp0(X0,sK6,xq)
| ~ aInteger0(sK6)
| ~ aInteger0(xq)
| sz00 = xq ),
inference(duplicate_literal_removal,[],[f1480]) ).
fof(f1484,plain,
! [X0] :
( ~ sdteqdtlpzmzozddtrp0(X0,xa,xq)
| ~ aInteger0(X0)
| ~ sP2
| ~ sdteqdtlpzmzozddtrp0(X0,sK6,xq)
| ~ aInteger0(xq)
| sz00 = xq ),
inference(forward_subsumption_resolution,[],[f1481,f278]) ).
fof(f1486,plain,
! [X0] :
( ~ sdteqdtlpzmzozddtrp0(X0,xa,xq)
| ~ aInteger0(X0)
| ~ sP2
| ~ sdteqdtlpzmzozddtrp0(X0,sK6,xq)
| sz00 = xq ),
inference(forward_subsumption_resolution,[],[f1484,f132]) ).
fof(f1488,plain,
! [X0] :
( ~ sdteqdtlpzmzozddtrp0(X0,sK6,xq)
| ~ aInteger0(X0)
| ~ sP2
| ~ sdteqdtlpzmzozddtrp0(X0,xa,xq) ),
inference(forward_subsumption_resolution,[],[f1486,f131]) ).
fof(f1520,plain,
( ~ aInteger0(sK7(xq))
| ~ sP2
| ~ sdteqdtlpzmzozddtrp0(sK7(xq),xa,xq)
| ~ aInteger0(xq)
| sz00 = xq
| ~ sP2 ),
inference(resolution,[],[f1488,f806]) ).
fof(f1521,plain,
( ~ aInteger0(sK7(xq))
| ~ sP2
| ~ sdteqdtlpzmzozddtrp0(sK7(xq),xa,xq)
| ~ aInteger0(xq)
| sz00 = xq ),
inference(duplicate_literal_removal,[],[f1520]) ).
fof(f1525,plain,
( ~ sP2
| ~ sdteqdtlpzmzozddtrp0(sK7(xq),xa,xq)
| ~ aInteger0(xq)
| sz00 = xq ),
inference(forward_subsumption_resolution,[],[f1521,f604]) ).
fof(f1527,plain,
( ~ sP2
| ~ aInteger0(xq)
| sz00 = xq ),
inference(forward_subsumption_resolution,[],[f1525,f812]) ).
fof(f1529,plain,
( ~ sP2
| sz00 = xq ),
inference(forward_subsumption_resolution,[],[f1527,f132]) ).
fof(f1531,plain,
~ sP2,
inference(forward_subsumption_resolution,[],[f1529,f131]) ).
fof(f1559,plain,
~ sP4,
inference(resolution,[],[f1531,f141]) ).
fof(f1560,plain,
$false,
inference(forward_subsumption_resolution,[],[f1559,f250]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM442+6 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n017.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 19:52:21 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.57/1.31 % (2898589)Detected formulas, will run a generic FOF schedule.
% 2.57/1.31 % (2898597)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3446727671:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.57/1.31 % (2898596)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=3685932763:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.57/1.31 % (2898600)dis-21_1_sil=8000:lcm=predicate:random_seed=2701439445: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)
% 2.57/1.31 % (2898594)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=2069341487:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.57/1.31 % (2898595)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=529901796:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.57/1.31 % (2898599)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3949482957:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.57/1.31 % (2898597)Instruction limit reached!
% 2.57/1.31 % (2898597)------------------------------
% 2.57/1.31 % (2898597)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.57/1.31 % (2898597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/1.31 % (2898597)CaDiCaL version: 2.1.3
% 2.57/1.31 % (2898597)Termination reason: Instruction limit
% 2.57/1.31 % (2898597)Termination phase: Saturation
% 2.57/1.31 % (2898597)Time elapsed: 0.041 s
% 2.57/1.31 % (2898597)Peak memory usage: 90 MB
% 2.57/1.31 % (2898597)Instructions burned: 111 (million)
% 2.57/1.31 % (2898598)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3280231617:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.57/1.31 % (2898598)First to succeed.
% 2.57/1.31 % (2898598)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2898589"
% 2.57/1.31 % (2898600)Instruction limit reached!
% 2.57/1.31 % (2898600)------------------------------
% 2.57/1.31 % (2898600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.57/1.31 % (2898600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/1.31 % (2898600)CaDiCaL version: 2.1.3
% 2.57/1.31 % (2898600)Termination reason: Instruction limit
% 2.57/1.31 % (2898600)Termination phase: Saturation
% 2.57/1.31 % (2898600)Time elapsed: 0.077 s
% 2.57/1.31 % (2898600)Peak memory usage: 89 MB
% 2.57/1.31 % (2898600)Instructions burned: 130 (million)
% 2.57/1.31 % (2898608)lrs+10_1_sil=8000:sp=occurrence:random_seed=1941745350:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.57/1.31 % (2898599)Instruction limit reached!
% 2.57/1.31 % (2898599)------------------------------
% 2.57/1.31 % (2898599)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.57/1.31 % (2898599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/1.31 % (2898599)CaDiCaL version: 2.1.3
% 2.57/1.31 % (2898599)Termination reason: Instruction limit
% 2.57/1.31 % (2898599)Termination phase: Saturation
% 2.57/1.31 % (2898599)Time elapsed: 0.094 s
% 2.57/1.31 % (2898599)Peak memory usage: 90 MB
% 2.57/1.31 % (2898599)Instructions burned: 139 (million)
% 2.57/1.31 % (2898608)Instruction limit reached!
% 2.57/1.31 % (2898608)------------------------------
% 2.57/1.31 % (2898608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.57/1.31 % (2898608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/1.31 % (2898608)CaDiCaL version: 2.1.3
% 2.57/1.31 % (2898608)Termination reason: Instruction limit
% 2.57/1.31 % (2898608)Termination phase: Saturation
% 2.57/1.31 % (2898608)Time elapsed: 0.097 s
% 2.57/1.31 % (2898608)Peak memory usage: 92 MB
% 2.57/1.31 % (2898608)Instructions burned: 285 (million)
% 2.57/1.31 % (2898609)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3904463485:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.57/1.31 % (2898611)lrs+1011_1_sil=32000:sp=occurrence:random_seed=597088551:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 2.57/1.31 % (2898612)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3646073239:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 2.57/1.31 % (2898598)Refutation found. Thanks to Tanya!
% 2.57/1.31 % SZS status Theorem for theBenchmark
% 2.57/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/1.51 % (2898598)------------------------------
% 0.15/1.51 % (2898598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/1.51 % (2898598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/1.51 % (2898598)CaDiCaL version: 2.1.3
% 0.15/1.51 % (2898598)Termination reason: Refutation
% 0.15/1.51 % (2898598)Time elapsed: 0.034 s
% 0.15/1.51 % (2898598)Peak memory usage: 89 MB
% 0.15/1.51 % (2898598)Instructions burned: 54 (million)
% 0.15/1.51 % (2898598)------------------------------
% 0.15/1.51 % (2898598)------------------------------
% 0.15/1.51 % (2898589)Success in time 0.442 s
% 0.15/1.51 % Vampire exiting
%------------------------------------------------------------------------------