%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM456+6 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 12:24:23 PM UTC 2026
% Result : ContradictoryAxioms 0.22s 0.57s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 39 ( 7 unt; 2 def)
% Number of atoms : 635 ( 127 equ)
% Maximal formula atoms : 38 ( 16 avg)
% Number of connectives : 803 ( 207 ~; 172 |; 390 &)
% ( 14 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 10 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 9 con; 0-2 aty)
% Number of variables : 147 ( 98 !; 49 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f42,axiom,
( aSet0(xS)
& ! [X0] :
( ( aElementOf0(X0,xS)
=> ? [X1] :
( aInteger0(X1)
& X1 != sz00
& isPrime0(X1)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
& ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
=> ( aInteger0(X2)
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00)) )
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X2,sz00,X1) ) )
& ( ( aInteger0(X2)
& ( ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00)) )
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
| sdteqdtlpzmzozddtrp0(X2,sz00,X1) ) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) ) )
& szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0 ) )
& ( ? [X1] :
( aInteger0(X1)
& X1 != sz00
& isPrime0(X1)
& ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
& ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
=> ( aInteger0(X2)
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00)) )
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X2,sz00,X1) ) )
& ( ( aInteger0(X2)
& ( ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00)) )
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
| sdteqdtlpzmzozddtrp0(X2,sz00,X1) ) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) ) ) )
=> szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0 ) )
=> aElementOf0(X0,xS) ) )
& xS = cS2043 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2046) ).
fof(f43,axiom,
( aSet0(sbsmnsldt0(xS))
& ! [X0] :
( aElementOf0(X0,sbsmnsldt0(xS))
<=> ( aInteger0(X0)
& ? [X1] :
( aElementOf0(X1,xS)
& aElementOf0(X0,X1) ) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(X0)
& ~ aElementOf0(X0,sbsmnsldt0(xS)) ) )
& ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
<=> ( X0 = sz10
| X0 = smndt0(sz10) ) )
& stldt0(sbsmnsldt0(xS)) = cS2076 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2079) ).
fof(f46,axiom,
( aInteger0(xp)
& xp != sz00
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ! [X0] :
( ( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
=> ( aInteger0(X0)
& ? [X1] :
( aInteger0(X1)
& sdtasdt0(xp,X1) = sdtpldt0(X0,smndt0(sz10)) )
& aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(X0,sz10,xp) ) )
& ( ( aInteger0(X0)
& ( ? [X1] :
( aInteger0(X1)
& sdtasdt0(xp,X1) = sdtpldt0(X0,smndt0(sz10)) )
| aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
| sdteqdtlpzmzozddtrp0(X0,sz10,xp) ) )
=> aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X0] :
( aElementOf0(X0,sbsmnsldt0(xS))
<=> ( aInteger0(X0)
& ? [X1] :
( aElementOf0(X1,xS)
& aElementOf0(X0,X1) ) ) )
& ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(X0)
& ~ aElementOf0(X0,sbsmnsldt0(xS)) ) )
& ! [X0] :
( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
=> aElementOf0(X0,stldt0(sbsmnsldt0(xS))) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2171) ).
fof(f47,axiom,
? [X0] :
( aInteger0(X0)
& ? [X1] :
( aInteger0(X1)
& sdtasdt0(xp,X1) = sdtpldt0(X0,smndt0(sz10)) )
& aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(X0,sz10,xp)
& aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ~ ( X0 = sz10
| X0 = smndt0(sz10)
| aElementOf0(X0,cS2200) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2203) ).
fof(f56,plain,
( aSet0(xS)
& ! [X0] :
( ( aElementOf0(X0,xS)
=> ? [X1] :
( aInteger0(X1)
& X1 != sz00
& isPrime0(X1)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
& ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
=> ( aInteger0(X2)
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00)) )
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X2,sz00,X1) ) )
& ( ( aInteger0(X2)
& ( ? [X4] :
( aInteger0(X4)
& sdtpldt0(X2,smndt0(sz00)) = sdtasdt0(X1,X4) )
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
| sdteqdtlpzmzozddtrp0(X2,sz00,X1) ) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) ) )
& szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0 ) )
& ( ? [X5] :
( aInteger0(X5)
& sz00 != X5
& isPrime0(X5)
& ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X5))
& ! [X6] :
( ( aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
=> ( aInteger0(X6)
& ? [X7] :
( aInteger0(X7)
& sdtasdt0(X5,X7) = sdtpldt0(X6,smndt0(sz00)) )
& aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X6,sz00,X5) ) )
& ( ( aInteger0(X6)
& ( ? [X8] :
( aInteger0(X8)
& sdtpldt0(X6,smndt0(sz00)) = sdtasdt0(X5,X8) )
| aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
| sdteqdtlpzmzozddtrp0(X6,sz00,X5) ) )
=> aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5)) ) ) )
=> szAzrzSzezqlpdtcmdtrp0(sz00,X5) = X0 ) )
=> aElementOf0(X0,xS) ) )
& xS = cS2043 ),
inference(rectify,[],[f42]) ).
fof(f57,plain,
( aSet0(sbsmnsldt0(xS))
& ! [X0] :
( aElementOf0(X0,sbsmnsldt0(xS))
<=> ( aInteger0(X0)
& ? [X1] :
( aElementOf0(X1,xS)
& aElementOf0(X0,X1) ) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X2] :
( aElementOf0(X2,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(X2)
& ~ aElementOf0(X2,sbsmnsldt0(xS)) ) )
& ! [X3] :
( aElementOf0(X3,stldt0(sbsmnsldt0(xS)))
<=> ( sz10 = X3
| smndt0(sz10) = X3 ) )
& stldt0(sbsmnsldt0(xS)) = cS2076 ),
inference(rectify,[],[f43]) ).
fof(f59,plain,
( aInteger0(xp)
& xp != sz00
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ! [X0] :
( ( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
=> ( aInteger0(X0)
& ? [X1] :
( aInteger0(X1)
& sdtasdt0(xp,X1) = sdtpldt0(X0,smndt0(sz10)) )
& aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(X0,sz10,xp) ) )
& ( ( aInteger0(X0)
& ( ? [X2] :
( aInteger0(X2)
& sdtpldt0(X0,smndt0(sz10)) = sdtasdt0(xp,X2) )
| aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
| sdteqdtlpzmzozddtrp0(X0,sz10,xp) ) )
=> aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X3] :
( aElementOf0(X3,sbsmnsldt0(xS))
<=> ( aInteger0(X3)
& ? [X4] :
( aElementOf0(X4,xS)
& aElementOf0(X3,X4) ) ) )
& ! [X5] :
( aElementOf0(X5,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(X5)
& ~ aElementOf0(X5,sbsmnsldt0(xS)) ) )
& ! [X6] :
( aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
=> aElementOf0(X6,stldt0(sbsmnsldt0(xS))) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))) ),
inference(rectify,[],[f46]) ).
fof(f117,plain,
( aSet0(xS)
& ! [X0] :
( ( ? [X1] :
( aInteger0(X1)
& X1 != sz00
& isPrime0(X1)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
& ! [X2] :
( ( ( aInteger0(X2)
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00)) )
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X2,sz00,X1) )
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| ~ aInteger0(X2)
| ( ! [X4] :
( ~ aInteger0(X4)
| sdtpldt0(X2,smndt0(sz00)) != sdtasdt0(X1,X4) )
& ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& ~ sdteqdtlpzmzozddtrp0(X2,sz00,X1) ) ) )
& szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0 )
| ~ aElementOf0(X0,xS) )
& ( aElementOf0(X0,xS)
| ! [X5] :
( ~ aInteger0(X5)
| sz00 = X5
| ~ isPrime0(X5)
| ( szAzrzSzezqlpdtcmdtrp0(sz00,X5) != X0
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X5))
& ! [X6] :
( ( ( aInteger0(X6)
& ? [X7] :
( aInteger0(X7)
& sdtasdt0(X5,X7) = sdtpldt0(X6,smndt0(sz00)) )
& aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X6,sz00,X5) )
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5)) )
& ( aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| ~ aInteger0(X6)
| ( ! [X8] :
( ~ aInteger0(X8)
| sdtpldt0(X6,smndt0(sz00)) != sdtasdt0(X5,X8) )
& ~ aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& ~ sdteqdtlpzmzozddtrp0(X6,sz00,X5) ) ) ) ) ) ) )
& xS = cS2043 ),
inference(ennf_transformation,[],[f56]) ).
fof(f118,plain,
( aSet0(xS)
& ! [X0] :
( ( ? [X1] :
( aInteger0(X1)
& X1 != sz00
& isPrime0(X1)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
& ! [X2] :
( ( ( aInteger0(X2)
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00)) )
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X2,sz00,X1) )
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| ~ aInteger0(X2)
| ( ! [X4] :
( ~ aInteger0(X4)
| sdtpldt0(X2,smndt0(sz00)) != sdtasdt0(X1,X4) )
& ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& ~ sdteqdtlpzmzozddtrp0(X2,sz00,X1) ) ) )
& szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0 )
| ~ aElementOf0(X0,xS) )
& ( aElementOf0(X0,xS)
| ! [X5] :
( ~ aInteger0(X5)
| sz00 = X5
| ~ isPrime0(X5)
| ( szAzrzSzezqlpdtcmdtrp0(sz00,X5) != X0
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X5))
& ! [X6] :
( ( ( aInteger0(X6)
& ? [X7] :
( aInteger0(X7)
& sdtasdt0(X5,X7) = sdtpldt0(X6,smndt0(sz00)) )
& aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X6,sz00,X5) )
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5)) )
& ( aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| ~ aInteger0(X6)
| ( ! [X8] :
( ~ aInteger0(X8)
| sdtpldt0(X6,smndt0(sz00)) != sdtasdt0(X5,X8) )
& ~ aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& ~ sdteqdtlpzmzozddtrp0(X6,sz00,X5) ) ) ) ) ) ) )
& xS = cS2043 ),
inference(flattening,[],[f117]) ).
fof(f121,plain,
( aInteger0(xp)
& xp != sz00
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ! [X0] :
( ( ( aInteger0(X0)
& ? [X1] :
( aInteger0(X1)
& sdtasdt0(xp,X1) = sdtpldt0(X0,smndt0(sz10)) )
& aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(X0,sz10,xp) )
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aInteger0(X0)
| ( ! [X2] :
( ~ aInteger0(X2)
| sdtpldt0(X0,smndt0(sz10)) != sdtasdt0(xp,X2) )
& ~ aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
& ~ sdteqdtlpzmzozddtrp0(X0,sz10,xp) ) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X3] :
( aElementOf0(X3,sbsmnsldt0(xS))
<=> ( aInteger0(X3)
& ? [X4] :
( aElementOf0(X4,xS)
& aElementOf0(X3,X4) ) ) )
& ! [X5] :
( aElementOf0(X5,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(X5)
& ~ aElementOf0(X5,sbsmnsldt0(xS)) ) )
& ! [X6] :
( aElementOf0(X6,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))) ),
inference(ennf_transformation,[],[f59]) ).
fof(f122,plain,
( aInteger0(xp)
& xp != sz00
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ! [X0] :
( ( ( aInteger0(X0)
& ? [X1] :
( aInteger0(X1)
& sdtasdt0(xp,X1) = sdtpldt0(X0,smndt0(sz10)) )
& aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(X0,sz10,xp) )
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aInteger0(X0)
| ( ! [X2] :
( ~ aInteger0(X2)
| sdtpldt0(X0,smndt0(sz10)) != sdtasdt0(xp,X2) )
& ~ aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
& ~ sdteqdtlpzmzozddtrp0(X0,sz10,xp) ) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X3] :
( aElementOf0(X3,sbsmnsldt0(xS))
<=> ( aInteger0(X3)
& ? [X4] :
( aElementOf0(X4,xS)
& aElementOf0(X3,X4) ) ) )
& ! [X5] :
( aElementOf0(X5,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(X5)
& ~ aElementOf0(X5,sbsmnsldt0(xS)) ) )
& ! [X6] :
( aElementOf0(X6,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))) ),
inference(flattening,[],[f121]) ).
fof(f123,plain,
? [X0] :
( aInteger0(X0)
& ? [X1] :
( aInteger0(X1)
& sdtasdt0(xp,X1) = sdtpldt0(X0,smndt0(sz10)) )
& aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(X0,sz10,xp)
& aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& sz10 != X0
& smndt0(sz10) != X0
& ~ aElementOf0(X0,cS2200) ),
inference(ennf_transformation,[],[f47]) ).
fof(f124,plain,
? [X0] :
( aInteger0(X0)
& ? [X1] :
( aInteger0(X1)
& sdtasdt0(xp,X1) = sdtpldt0(X0,smndt0(sz10)) )
& aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(X0,sz10,xp)
& aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& sz10 != X0
& smndt0(sz10) != X0
& ~ aElementOf0(X0,cS2200) ),
inference(flattening,[],[f123]) ).
fof(f134,definition,
! [X5] :
( ! [X6] :
( ( ( aInteger0(X6)
& ? [X7] :
( aInteger0(X7)
& sdtasdt0(X5,X7) = sdtpldt0(X6,smndt0(sz00)) )
& aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X6,sz00,X5) )
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5)) )
& ( aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| ~ aInteger0(X6)
| ( ! [X8] :
( ~ aInteger0(X8)
| sdtpldt0(X6,smndt0(sz00)) != sdtasdt0(X5,X8) )
& ~ aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& ~ sdteqdtlpzmzozddtrp0(X6,sz00,X5) ) ) )
| ~ sP6(X5) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f135,definition,
! [X1] :
( ! [X2] :
( ( ( aInteger0(X2)
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00)) )
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X2,sz00,X1) )
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| ~ aInteger0(X2)
| ( ! [X4] :
( ~ aInteger0(X4)
| sdtpldt0(X2,smndt0(sz00)) != sdtasdt0(X1,X4) )
& ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& ~ sdteqdtlpzmzozddtrp0(X2,sz00,X1) ) ) )
| ~ sP7(X1) ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f136,plain,
( aSet0(xS)
& ! [X0] :
( ( ? [X1] :
( aInteger0(X1)
& X1 != sz00
& isPrime0(X1)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
& sP7(X1)
& szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0 )
| ~ aElementOf0(X0,xS) )
& ( aElementOf0(X0,xS)
| ! [X5] :
( ~ aInteger0(X5)
| sz00 = X5
| ~ isPrime0(X5)
| ( szAzrzSzezqlpdtcmdtrp0(sz00,X5) != X0
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X5))
& sP6(X5) ) ) ) )
& xS = cS2043 ),
inference(definition_folding,[],[f118,f135,f134]) ).
fof(f192,plain,
( aSet0(xS)
& ! [X0] :
( ( ? [X1] :
( aInteger0(X1)
& X1 != sz00
& isPrime0(X1)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
& sP7(X1)
& szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0 )
| ~ aElementOf0(X0,xS) )
& ( aElementOf0(X0,xS)
| ! [X2] :
( ~ aInteger0(X2)
| sz00 = X2
| ~ isPrime0(X2)
| ( szAzrzSzezqlpdtcmdtrp0(sz00,X2) != X0
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X2))
& sP6(X2) ) ) ) )
& xS = cS2043 ),
inference(rectify,[],[f136]) ).
fof(f193,plain,
( aSet0(xS)
& ! [X0] :
( ( ( aInteger0(sK27(X0))
& sz00 != sK27(X0)
& isPrime0(sK27(X0))
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,sK27(X0)))
& sP7(sK27(X0))
& szAzrzSzezqlpdtcmdtrp0(sz00,sK27(X0)) = X0 )
| ~ aElementOf0(X0,xS) )
& ( aElementOf0(X0,xS)
| ! [X2] :
( ~ aInteger0(X2)
| sz00 = X2
| ~ isPrime0(X2)
| ( szAzrzSzezqlpdtcmdtrp0(sz00,X2) != X0
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X2))
& sP6(X2) ) ) ) )
& xS = cS2043 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27]),skolemize(X1,sK27(X0))],[f192]) ).
fof(f194,plain,
( aSet0(sbsmnsldt0(xS))
& ! [X0] :
( ( aElementOf0(X0,sbsmnsldt0(xS))
| ~ aInteger0(X0)
| ! [X1] :
( ~ aElementOf0(X1,xS)
| ~ aElementOf0(X0,X1) ) )
& ( ( aInteger0(X0)
& ? [X1] :
( aElementOf0(X1,xS)
& aElementOf0(X0,X1) ) )
| ~ aElementOf0(X0,sbsmnsldt0(xS)) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X2] :
( ( aElementOf0(X2,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X2)
| aElementOf0(X2,sbsmnsldt0(xS)) )
& ( ( aInteger0(X2)
& ~ aElementOf0(X2,sbsmnsldt0(xS)) )
| ~ aElementOf0(X2,stldt0(sbsmnsldt0(xS))) ) )
& ! [X3] :
( ( aElementOf0(X3,stldt0(sbsmnsldt0(xS)))
| ( sz10 != X3
& smndt0(sz10) != X3 ) )
& ( sz10 = X3
| smndt0(sz10) = X3
| ~ aElementOf0(X3,stldt0(sbsmnsldt0(xS))) ) )
& stldt0(sbsmnsldt0(xS)) = cS2076 ),
inference(nnf_transformation,[],[f57]) ).
fof(f195,plain,
( aSet0(sbsmnsldt0(xS))
& ! [X0] :
( ( aElementOf0(X0,sbsmnsldt0(xS))
| ~ aInteger0(X0)
| ! [X1] :
( ~ aElementOf0(X1,xS)
| ~ aElementOf0(X0,X1) ) )
& ( ( aInteger0(X0)
& ? [X1] :
( aElementOf0(X1,xS)
& aElementOf0(X0,X1) ) )
| ~ aElementOf0(X0,sbsmnsldt0(xS)) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X2] :
( ( aElementOf0(X2,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X2)
| aElementOf0(X2,sbsmnsldt0(xS)) )
& ( ( aInteger0(X2)
& ~ aElementOf0(X2,sbsmnsldt0(xS)) )
| ~ aElementOf0(X2,stldt0(sbsmnsldt0(xS))) ) )
& ! [X3] :
( ( aElementOf0(X3,stldt0(sbsmnsldt0(xS)))
| ( sz10 != X3
& smndt0(sz10) != X3 ) )
& ( sz10 = X3
| smndt0(sz10) = X3
| ~ aElementOf0(X3,stldt0(sbsmnsldt0(xS))) ) )
& stldt0(sbsmnsldt0(xS)) = cS2076 ),
inference(flattening,[],[f194]) ).
fof(f196,plain,
( aSet0(sbsmnsldt0(xS))
& ! [X0] :
( ( aElementOf0(X0,sbsmnsldt0(xS))
| ~ aInteger0(X0)
| ! [X1] :
( ~ aElementOf0(X1,xS)
| ~ aElementOf0(X0,X1) ) )
& ( ( aInteger0(X0)
& ? [X2] :
( aElementOf0(X2,xS)
& aElementOf0(X0,X2) ) )
| ~ aElementOf0(X0,sbsmnsldt0(xS)) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X3] :
( ( aElementOf0(X3,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X3)
| aElementOf0(X3,sbsmnsldt0(xS)) )
& ( ( aInteger0(X3)
& ~ aElementOf0(X3,sbsmnsldt0(xS)) )
| ~ aElementOf0(X3,stldt0(sbsmnsldt0(xS))) ) )
& ! [X4] :
( ( aElementOf0(X4,stldt0(sbsmnsldt0(xS)))
| ( sz10 != X4
& smndt0(sz10) != X4 ) )
& ( sz10 = X4
| smndt0(sz10) = X4
| ~ aElementOf0(X4,stldt0(sbsmnsldt0(xS))) ) )
& stldt0(sbsmnsldt0(xS)) = cS2076 ),
inference(rectify,[],[f195]) ).
fof(f197,plain,
( aSet0(sbsmnsldt0(xS))
& ! [X0] :
( ( aElementOf0(X0,sbsmnsldt0(xS))
| ~ aInteger0(X0)
| ! [X1] :
( ~ aElementOf0(X1,xS)
| ~ aElementOf0(X0,X1) ) )
& ( ( aInteger0(X0)
& aElementOf0(sK28(X0),xS)
& aElementOf0(X0,sK28(X0)) )
| ~ aElementOf0(X0,sbsmnsldt0(xS)) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X3] :
( ( aElementOf0(X3,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X3)
| aElementOf0(X3,sbsmnsldt0(xS)) )
& ( ( aInteger0(X3)
& ~ aElementOf0(X3,sbsmnsldt0(xS)) )
| ~ aElementOf0(X3,stldt0(sbsmnsldt0(xS))) ) )
& ! [X4] :
( ( aElementOf0(X4,stldt0(sbsmnsldt0(xS)))
| ( sz10 != X4
& smndt0(sz10) != X4 ) )
& ( sz10 = X4
| smndt0(sz10) = X4
| ~ aElementOf0(X4,stldt0(sbsmnsldt0(xS))) ) )
& stldt0(sbsmnsldt0(xS)) = cS2076 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK28]),skolemize(X2,sK28(X0))],[f196]) ).
fof(f208,plain,
( aInteger0(xp)
& xp != sz00
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ! [X0] :
( ( ( aInteger0(X0)
& ? [X1] :
( aInteger0(X1)
& sdtasdt0(xp,X1) = sdtpldt0(X0,smndt0(sz10)) )
& aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(X0,sz10,xp) )
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aInteger0(X0)
| ( ! [X2] :
( ~ aInteger0(X2)
| sdtpldt0(X0,smndt0(sz10)) != sdtasdt0(xp,X2) )
& ~ aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
& ~ sdteqdtlpzmzozddtrp0(X0,sz10,xp) ) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X3] :
( ( aElementOf0(X3,sbsmnsldt0(xS))
| ~ aInteger0(X3)
| ! [X4] :
( ~ aElementOf0(X4,xS)
| ~ aElementOf0(X3,X4) ) )
& ( ( aInteger0(X3)
& ? [X4] :
( aElementOf0(X4,xS)
& aElementOf0(X3,X4) ) )
| ~ aElementOf0(X3,sbsmnsldt0(xS)) ) )
& ! [X5] :
( ( aElementOf0(X5,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X5)
| aElementOf0(X5,sbsmnsldt0(xS)) )
& ( ( aInteger0(X5)
& ~ aElementOf0(X5,sbsmnsldt0(xS)) )
| ~ aElementOf0(X5,stldt0(sbsmnsldt0(xS))) ) )
& ! [X6] :
( aElementOf0(X6,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))) ),
inference(nnf_transformation,[],[f122]) ).
fof(f209,plain,
( aInteger0(xp)
& xp != sz00
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ! [X0] :
( ( ( aInteger0(X0)
& ? [X1] :
( aInteger0(X1)
& sdtasdt0(xp,X1) = sdtpldt0(X0,smndt0(sz10)) )
& aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(X0,sz10,xp) )
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aInteger0(X0)
| ( ! [X2] :
( ~ aInteger0(X2)
| sdtpldt0(X0,smndt0(sz10)) != sdtasdt0(xp,X2) )
& ~ aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
& ~ sdteqdtlpzmzozddtrp0(X0,sz10,xp) ) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X3] :
( ( aElementOf0(X3,sbsmnsldt0(xS))
| ~ aInteger0(X3)
| ! [X4] :
( ~ aElementOf0(X4,xS)
| ~ aElementOf0(X3,X4) ) )
& ( ( aInteger0(X3)
& ? [X4] :
( aElementOf0(X4,xS)
& aElementOf0(X3,X4) ) )
| ~ aElementOf0(X3,sbsmnsldt0(xS)) ) )
& ! [X5] :
( ( aElementOf0(X5,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X5)
| aElementOf0(X5,sbsmnsldt0(xS)) )
& ( ( aInteger0(X5)
& ~ aElementOf0(X5,sbsmnsldt0(xS)) )
| ~ aElementOf0(X5,stldt0(sbsmnsldt0(xS))) ) )
& ! [X6] :
( aElementOf0(X6,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))) ),
inference(flattening,[],[f208]) ).
fof(f210,plain,
( aInteger0(xp)
& xp != sz00
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ! [X0] :
( ( ( aInteger0(X0)
& ? [X1] :
( aInteger0(X1)
& sdtasdt0(xp,X1) = sdtpldt0(X0,smndt0(sz10)) )
& aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(X0,sz10,xp) )
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aInteger0(X0)
| ( ! [X2] :
( ~ aInteger0(X2)
| sdtpldt0(X0,smndt0(sz10)) != sdtasdt0(xp,X2) )
& ~ aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
& ~ sdteqdtlpzmzozddtrp0(X0,sz10,xp) ) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X3] :
( ( aElementOf0(X3,sbsmnsldt0(xS))
| ~ aInteger0(X3)
| ! [X4] :
( ~ aElementOf0(X4,xS)
| ~ aElementOf0(X3,X4) ) )
& ( ( aInteger0(X3)
& ? [X5] :
( aElementOf0(X5,xS)
& aElementOf0(X3,X5) ) )
| ~ aElementOf0(X3,sbsmnsldt0(xS)) ) )
& ! [X6] :
( ( aElementOf0(X6,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X6)
| aElementOf0(X6,sbsmnsldt0(xS)) )
& ( ( aInteger0(X6)
& ~ aElementOf0(X6,sbsmnsldt0(xS)) )
| ~ aElementOf0(X6,stldt0(sbsmnsldt0(xS))) ) )
& ! [X7] :
( aElementOf0(X7,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))) ),
inference(rectify,[],[f209]) ).
fof(f211,plain,
( aInteger0(xp)
& xp != sz00
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ! [X0] :
( ( ( aInteger0(X0)
& aInteger0(sK35(X0))
& sdtpldt0(X0,smndt0(sz10)) = sdtasdt0(xp,sK35(X0))
& aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(X0,sz10,xp) )
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aInteger0(X0)
| ( ! [X2] :
( ~ aInteger0(X2)
| sdtpldt0(X0,smndt0(sz10)) != sdtasdt0(xp,X2) )
& ~ aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
& ~ sdteqdtlpzmzozddtrp0(X0,sz10,xp) ) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X3] :
( ( aElementOf0(X3,sbsmnsldt0(xS))
| ~ aInteger0(X3)
| ! [X4] :
( ~ aElementOf0(X4,xS)
| ~ aElementOf0(X3,X4) ) )
& ( ( aInteger0(X3)
& aElementOf0(sK36(X3),xS)
& aElementOf0(X3,sK36(X3)) )
| ~ aElementOf0(X3,sbsmnsldt0(xS)) ) )
& ! [X6] :
( ( aElementOf0(X6,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X6)
| aElementOf0(X6,sbsmnsldt0(xS)) )
& ( ( aInteger0(X6)
& ~ aElementOf0(X6,sbsmnsldt0(xS)) )
| ~ aElementOf0(X6,stldt0(sbsmnsldt0(xS))) ) )
& ! [X7] :
( aElementOf0(X7,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK35,sK36]),skolemize(X1,sK35(X0)),skolemize(X5,sK36(X3))],[f210]) ).
fof(f212,plain,
( aInteger0(sK37)
& aInteger0(sK38)
& sdtasdt0(xp,sK38) = sdtpldt0(sK37,smndt0(sz10))
& aDivisorOf0(xp,sdtpldt0(sK37,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(sK37,sz10,xp)
& aElementOf0(sK37,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& sz10 != sK37
& smndt0(sz10) != sK37
& ~ aElementOf0(sK37,cS2200) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK37,sK38]),skolemize(X0,sK37),skolemize(X1,sK38)],[f124]) ).
fof(f337,plain,
xS = cS2043,
inference(cnf_transformation,[],[f193]) ).
fof(f349,plain,
! [X4] :
( sz10 = X4
| smndt0(sz10) = X4
| ~ aElementOf0(X4,stldt0(sbsmnsldt0(xS))) ),
inference(cnf_transformation,[],[f197]) ).
fof(f409,plain,
! [X7] :
( aElementOf0(X7,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(cnf_transformation,[],[f211]) ).
fof(f430,plain,
smndt0(sz10) != sK37,
inference(cnf_transformation,[],[f212]) ).
fof(f431,plain,
sz10 != sK37,
inference(cnf_transformation,[],[f212]) ).
fof(f432,plain,
aElementOf0(sK37,szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
inference(cnf_transformation,[],[f212]) ).
fof(f459,plain,
! [X4] :
( ~ aElementOf0(X4,stldt0(sbsmnsldt0(cS2043)))
| smndt0(sz10) = X4
| sz10 = X4 ),
inference(definition_unfolding,[],[f349,f337]) ).
fof(f500,plain,
! [X7] :
( ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| aElementOf0(X7,stldt0(sbsmnsldt0(cS2043))) ),
inference(definition_unfolding,[],[f409,f337]) ).
fof(f1237,plain,
aElementOf0(sK37,stldt0(sbsmnsldt0(cS2043))),
inference(resolution,[],[f500,f432]) ).
fof(f2056,plain,
( smndt0(sz10) = sK37
| sz10 = sK37 ),
inference(resolution,[],[f459,f1237]) ).
fof(f2057,plain,
sz10 = sK37,
inference(forward_subsumption_resolution,[],[f2056,f430]) ).
fof(f2058,plain,
$false,
inference(forward_subsumption_resolution,[],[f2057,f431]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM456+6 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.17/0.44 % Computer : n004.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sun Sep 27 19:58:52 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.45 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.22/0.50 Running first-order model finding
% 0.22/0.50 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.57 % (3842120)Will run a generic schedule for satisfiability detection.
% 0.22/0.57 % (3842130)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2340963365:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.22/0.57 % (3842126)% WARNING: option uhcvi not known.
% 0.22/0.57 % (3842126)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3950383090:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.22/0.57 % (3842131)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3312263359:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.22/0.57 % (3842129)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1270821062:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.22/0.57 % (3842128)dis+10_1_sil=32000:sp=arity:random_seed=2787069380:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.22/0.57 % (3842125)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3750995332_2999 on theBenchmark for (2999ds/0Mi)
% 0.22/0.57 % (3842127)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1911497056:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.22/0.57 % (3842130) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3842120-3842130"...
% 0.22/0.57 % (3842130)...printing done.
% 0.22/0.57 % (3842130)Refutation found. Thanks to Tanya!
% 0.22/0.57 % SZS status ContradictoryAxioms for theBenchmark
% 0.22/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.57 % (3842130)------------------------------
% 0.22/0.57 % (3842130)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.57 % (3842130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.57 % (3842130)CaDiCaL version: 2.1.3
% 0.22/0.57 % (3842130)Termination reason: Refutation
% 0.22/0.57 % (3842130)Time elapsed: 0.031 s
% 0.22/0.57 % (3842130)Peak memory usage: 13 MB
% 0.22/0.57 % (3842130)Instructions burned: 58 (million)
% 0.22/0.57 % (3842120)Success in time 0.059 s
% 0.22/0.57 % Vampire exiting
%------------------------------------------------------------------------------