%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM448+5 : 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 : n002.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 12:24:21 PM UTC 2026
% Result : Theorem 0.21s 0.55s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 16
% Syntax : Number of formulae : 142 ( 17 unt; 11 def)
% Number of atoms : 647 ( 109 equ)
% Maximal formula atoms : 38 ( 4 avg)
% Number of connectives : 735 ( 230 ~; 247 |; 196 &)
% ( 26 <=>; 34 =>; 0 <=; 2 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 12 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 145 ( 0 sgn 94 !; 51 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntOne) ).
fof(f4,axiom,
! [X0] :
( aInteger0(X0)
=> aInteger0(smndt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntNeg) ).
fof(f25,axiom,
! [X0] :
( aInteger0(X0)
=> ( ? [X1] :
( aDivisorOf0(X1,X0)
& isPrime0(X1) )
<=> ( X0 != sz10
& X0 != smndt0(sz10) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPrimeDivisor) ).
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,conjecture,
( ! [X0] :
( aInteger0(X0)
=> ( ( ( ? [X1] :
( aElementOf0(X1,xS)
& aElementOf0(X0,X1) )
| aElementOf0(X0,sbsmnsldt0(xS)) )
=> ? [X1] :
( aInteger0(X1)
& X1 != sz00
& ? [X2] :
( aInteger0(X2)
& sdtasdt0(X1,X2) = X0 )
& aDivisorOf0(X1,X0)
& isPrime0(X1) ) )
& ( ? [X1] :
( ( ( aInteger0(X1)
& X1 != sz00
& ? [X2] :
( aInteger0(X2)
& sdtasdt0(X1,X2) = X0 ) )
| aDivisorOf0(X1,X0) )
& isPrime0(X1) )
=> ( ? [X1] :
( aElementOf0(X1,xS)
& aElementOf0(X0,X1) )
& aElementOf0(X0,sbsmnsldt0(xS)) ) ) ) )
=> ( ( 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__) ).
fof(f44,negated_conjecture,
~ ( ! [X0] :
( aInteger0(X0)
=> ( ( ( ? [X1] :
( aElementOf0(X1,xS)
& aElementOf0(X0,X1) )
| aElementOf0(X0,sbsmnsldt0(xS)) )
=> ? [X1] :
( aInteger0(X1)
& X1 != sz00
& ? [X2] :
( aInteger0(X2)
& sdtasdt0(X1,X2) = X0 )
& aDivisorOf0(X1,X0)
& isPrime0(X1) ) )
& ( ? [X1] :
( ( ( aInteger0(X1)
& X1 != sz00
& ? [X2] :
( aInteger0(X2)
& sdtasdt0(X1,X2) = X0 ) )
| aDivisorOf0(X1,X0) )
& isPrime0(X1) )
=> ( ? [X1] :
( aElementOf0(X1,xS)
& aElementOf0(X0,X1) )
& aElementOf0(X0,sbsmnsldt0(xS)) ) ) ) )
=> ( ( 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 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f43]) ).
fof(f46,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(f47,plain,
~ ( ! [X0] :
( aInteger0(X0)
=> ( ( ( ? [X1] :
( aElementOf0(X1,xS)
& aElementOf0(X0,X1) )
| aElementOf0(X0,sbsmnsldt0(xS)) )
=> ? [X2] :
( aInteger0(X2)
& sz00 != X2
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(X2,X3) = X0 )
& aDivisorOf0(X2,X0)
& isPrime0(X2) ) )
& ( ? [X4] :
( ( ( aInteger0(X4)
& sz00 != X4
& ? [X5] :
( aInteger0(X5)
& sdtasdt0(X4,X5) = X0 ) )
| aDivisorOf0(X4,X0) )
& isPrime0(X4) )
=> ( ? [X6] :
( aElementOf0(X6,xS)
& aElementOf0(X0,X6) )
& aElementOf0(X0,sbsmnsldt0(xS)) ) ) ) )
=> ( ( aSet0(sbsmnsldt0(xS))
& ! [X7] :
( aElementOf0(X7,sbsmnsldt0(xS))
<=> ( aInteger0(X7)
& ? [X8] :
( aElementOf0(X8,xS)
& aElementOf0(X7,X8) ) ) ) )
=> ( ( aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X9] :
( aElementOf0(X9,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(X9)
& ~ aElementOf0(X9,sbsmnsldt0(xS)) ) ) )
=> ( ! [X10] :
( aElementOf0(X10,stldt0(sbsmnsldt0(xS)))
<=> ( sz10 = X10
| smndt0(sz10) = X10 ) )
| stldt0(sbsmnsldt0(xS)) = cS2076 ) ) ) ),
inference(rectify,[],[f44]) ).
fof(f51,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f86,plain,
! [X0] :
( ( ? [X1] :
( aDivisorOf0(X1,X0)
& isPrime0(X1) )
<=> ( X0 != sz10
& X0 != smndt0(sz10) ) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f109,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,[],[f46]) ).
fof(f110,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,[],[f109]) ).
fof(f111,plain,
( ? [X10] :
( aElementOf0(X10,stldt0(sbsmnsldt0(xS)))
<~> ( sz10 = X10
| smndt0(sz10) = X10 ) )
& stldt0(sbsmnsldt0(xS)) != cS2076
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X9] :
( aElementOf0(X9,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(X9)
& ~ aElementOf0(X9,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X7] :
( aElementOf0(X7,sbsmnsldt0(xS))
<=> ( aInteger0(X7)
& ? [X8] :
( aElementOf0(X8,xS)
& aElementOf0(X7,X8) ) ) )
& ! [X0] :
( ( ( ? [X2] :
( aInteger0(X2)
& sz00 != X2
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(X2,X3) = X0 )
& aDivisorOf0(X2,X0)
& isPrime0(X2) )
| ( ! [X1] :
( ~ aElementOf0(X1,xS)
| ~ aElementOf0(X0,X1) )
& ~ aElementOf0(X0,sbsmnsldt0(xS)) ) )
& ( ( ? [X6] :
( aElementOf0(X6,xS)
& aElementOf0(X0,X6) )
& aElementOf0(X0,sbsmnsldt0(xS)) )
| ! [X4] :
( ( ( ~ aInteger0(X4)
| sz00 = X4
| ! [X5] :
( ~ aInteger0(X5)
| sdtasdt0(X4,X5) != X0 ) )
& ~ aDivisorOf0(X4,X0) )
| ~ isPrime0(X4) ) ) )
| ~ aInteger0(X0) ) ),
inference(ennf_transformation,[],[f47]) ).
fof(f112,plain,
( ? [X10] :
( aElementOf0(X10,stldt0(sbsmnsldt0(xS)))
<~> ( sz10 = X10
| smndt0(sz10) = X10 ) )
& stldt0(sbsmnsldt0(xS)) != cS2076
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X9] :
( aElementOf0(X9,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(X9)
& ~ aElementOf0(X9,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X7] :
( aElementOf0(X7,sbsmnsldt0(xS))
<=> ( aInteger0(X7)
& ? [X8] :
( aElementOf0(X8,xS)
& aElementOf0(X7,X8) ) ) )
& ! [X0] :
( ( ( ? [X2] :
( aInteger0(X2)
& sz00 != X2
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(X2,X3) = X0 )
& aDivisorOf0(X2,X0)
& isPrime0(X2) )
| ( ! [X1] :
( ~ aElementOf0(X1,xS)
| ~ aElementOf0(X0,X1) )
& ~ aElementOf0(X0,sbsmnsldt0(xS)) ) )
& ( ( ? [X6] :
( aElementOf0(X6,xS)
& aElementOf0(X0,X6) )
& aElementOf0(X0,sbsmnsldt0(xS)) )
| ! [X4] :
( ( ( ~ aInteger0(X4)
| sz00 = X4
| ! [X5] :
( ~ aInteger0(X5)
| sdtasdt0(X4,X5) != X0 ) )
& ~ aDivisorOf0(X4,X0) )
| ~ isPrime0(X4) ) ) )
| ~ aInteger0(X0) ) ),
inference(flattening,[],[f111]) ).
fof(f114,plain,
aInteger0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f115,plain,
! [X0] :
( ~ aInteger0(X0)
| aInteger0(smndt0(X0)) ),
inference(cnf_transformation,[],[f51]) ).
fof(f147,plain,
! [X0] :
( ~ aInteger0(X0)
| smndt0(sz10) = X0
| sz10 = X0
| isPrime0(sK1(X0)) ),
inference(cnf_transformation,[],[f86]) ).
fof(f148,plain,
! [X0] :
( ~ aInteger0(X0)
| smndt0(sz10) = X0
| sz10 = X0
| aDivisorOf0(sK1(X0),X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f149,plain,
! [X0,X1] :
( ~ aInteger0(X0)
| sz10 != X0
| ~ isPrime0(X1)
| ~ aDivisorOf0(X1,X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f150,plain,
! [X0,X1] :
( ~ aInteger0(X0)
| smndt0(sz10) != X0
| ~ isPrime0(X1)
| ~ aDivisorOf0(X1,X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f241,plain,
xS = cS2043,
inference(cnf_transformation,[],[f110]) ).
fof(f256,plain,
! [X0,X4] :
( ~ aInteger0(X0)
| ~ isPrime0(X4)
| ~ aDivisorOf0(X4,X0)
| aElementOf0(X0,sbsmnsldt0(xS)) ),
inference(cnf_transformation,[],[f112]) ).
fof(f257,plain,
! [X0] :
( ~ aInteger0(X0)
| ~ aElementOf0(X0,sbsmnsldt0(xS))
| isPrime0(sK19(X0)) ),
inference(cnf_transformation,[],[f112]) ).
fof(f258,plain,
! [X0] :
( ~ aInteger0(X0)
| ~ aElementOf0(X0,sbsmnsldt0(xS))
| aDivisorOf0(sK19(X0),X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f264,plain,
( smndt0(sz10) != sK17
| ~ aElementOf0(sK17,stldt0(sbsmnsldt0(xS))) ),
inference(cnf_transformation,[],[f112]) ).
fof(f265,plain,
( sz10 != sK17
| ~ aElementOf0(sK17,stldt0(sbsmnsldt0(xS))) ),
inference(cnf_transformation,[],[f112]) ).
fof(f266,plain,
( smndt0(sz10) = sK17
| sz10 = sK17
| aElementOf0(sK17,stldt0(sbsmnsldt0(xS))) ),
inference(cnf_transformation,[],[f112]) ).
fof(f267,plain,
! [X9] :
( ~ aElementOf0(X9,sbsmnsldt0(xS))
| ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS))) ),
inference(cnf_transformation,[],[f112]) ).
fof(f268,plain,
! [X9] :
( aInteger0(X9)
| ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS))) ),
inference(cnf_transformation,[],[f112]) ).
fof(f269,plain,
! [X9] :
( aElementOf0(X9,sbsmnsldt0(xS))
| ~ aInteger0(X9)
| aElementOf0(X9,stldt0(sbsmnsldt0(xS))) ),
inference(cnf_transformation,[],[f112]) ).
fof(f270,plain,
! [X7] :
( aInteger0(X7)
| ~ aElementOf0(X7,sbsmnsldt0(xS)) ),
inference(cnf_transformation,[],[f112]) ).
fof(f301,plain,
! [X7] :
( aInteger0(X7)
| ~ aElementOf0(X7,sbsmnsldt0(cS2043)) ),
inference(definition_unfolding,[],[f270,f241]) ).
fof(f302,plain,
! [X9] :
( aElementOf0(X9,sbsmnsldt0(cS2043))
| ~ aInteger0(X9)
| aElementOf0(X9,stldt0(sbsmnsldt0(cS2043))) ),
inference(definition_unfolding,[],[f269,f241,f241]) ).
fof(f303,plain,
! [X9] :
( aInteger0(X9)
| ~ aElementOf0(X9,stldt0(sbsmnsldt0(cS2043))) ),
inference(definition_unfolding,[],[f268,f241]) ).
fof(f304,plain,
! [X9] :
( ~ aElementOf0(X9,sbsmnsldt0(cS2043))
| ~ aElementOf0(X9,stldt0(sbsmnsldt0(cS2043))) ),
inference(definition_unfolding,[],[f267,f241,f241]) ).
fof(f305,plain,
( smndt0(sz10) = sK17
| sz10 = sK17
| aElementOf0(sK17,stldt0(sbsmnsldt0(cS2043))) ),
inference(definition_unfolding,[],[f266,f241]) ).
fof(f306,plain,
( sz10 != sK17
| ~ aElementOf0(sK17,stldt0(sbsmnsldt0(cS2043))) ),
inference(definition_unfolding,[],[f265,f241]) ).
fof(f307,plain,
( smndt0(sz10) != sK17
| ~ aElementOf0(sK17,stldt0(sbsmnsldt0(cS2043))) ),
inference(definition_unfolding,[],[f264,f241]) ).
fof(f313,plain,
! [X0] :
( ~ aInteger0(X0)
| ~ aElementOf0(X0,sbsmnsldt0(cS2043))
| aDivisorOf0(sK19(X0),X0) ),
inference(definition_unfolding,[],[f258,f241]) ).
fof(f314,plain,
! [X0] :
( ~ aInteger0(X0)
| ~ aElementOf0(X0,sbsmnsldt0(cS2043))
| isPrime0(sK19(X0)) ),
inference(definition_unfolding,[],[f257,f241]) ).
fof(f315,plain,
! [X0,X4] :
( ~ aInteger0(X0)
| ~ isPrime0(X4)
| ~ aDivisorOf0(X4,X0)
| aElementOf0(X0,sbsmnsldt0(cS2043)) ),
inference(definition_unfolding,[],[f256,f241]) ).
fof(f329,plain,
! [X1] :
( ~ aInteger0(smndt0(sz10))
| ~ isPrime0(X1)
| ~ aDivisorOf0(X1,smndt0(sz10)) ),
inference(equality_resolution,[],[f150]) ).
fof(f330,plain,
! [X1] :
( ~ aInteger0(sz10)
| ~ isPrime0(X1)
| ~ aDivisorOf0(X1,sz10) ),
inference(equality_resolution,[],[f149]) ).
fof(f375,plain,
! [X1] :
( ~ aInteger0(smndt0(sz10))
| isPrime0(X1)
| aDivisorOf0(X1,smndt0(sz10)) ),
inference(consistent_polarity_flipping,[],[f329]) ).
fof(f376,plain,
! [X1] :
( ~ aInteger0(sz10)
| isPrime0(X1)
| aDivisorOf0(X1,sz10) ),
inference(consistent_polarity_flipping,[],[f330]) ).
fof(f377,plain,
! [X0] :
( ~ aDivisorOf0(sK1(X0),X0)
| smndt0(sz10) = X0
| sz10 = X0
| ~ aInteger0(X0) ),
inference(consistent_polarity_flipping,[],[f148]) ).
fof(f378,plain,
! [X0] :
( ~ isPrime0(sK1(X0))
| smndt0(sz10) = X0
| sz10 = X0
| ~ aInteger0(X0) ),
inference(consistent_polarity_flipping,[],[f147]) ).
fof(f469,plain,
! [X7] :
( aElementOf0(X7,sbsmnsldt0(cS2043))
| aInteger0(X7) ),
inference(consistent_polarity_flipping,[],[f301]) ).
fof(f470,plain,
! [X9] :
( ~ aInteger0(X9)
| ~ aElementOf0(X9,sbsmnsldt0(cS2043))
| ~ aElementOf0(X9,stldt0(sbsmnsldt0(cS2043))) ),
inference(consistent_polarity_flipping,[],[f302]) ).
fof(f471,plain,
! [X9] :
( aElementOf0(X9,stldt0(sbsmnsldt0(cS2043)))
| aInteger0(X9) ),
inference(consistent_polarity_flipping,[],[f303]) ).
fof(f472,plain,
! [X9] :
( aElementOf0(X9,stldt0(sbsmnsldt0(cS2043)))
| aElementOf0(X9,sbsmnsldt0(cS2043)) ),
inference(consistent_polarity_flipping,[],[f304]) ).
fof(f473,plain,
( smndt0(sz10) = sK17
| sz10 = sK17
| ~ aElementOf0(sK17,stldt0(sbsmnsldt0(cS2043))) ),
inference(consistent_polarity_flipping,[],[f305]) ).
fof(f474,plain,
( sz10 != sK17
| aElementOf0(sK17,stldt0(sbsmnsldt0(cS2043))) ),
inference(consistent_polarity_flipping,[],[f306]) ).
fof(f475,plain,
( smndt0(sz10) != sK17
| aElementOf0(sK17,stldt0(sbsmnsldt0(cS2043))) ),
inference(consistent_polarity_flipping,[],[f307]) ).
fof(f481,plain,
! [X0] :
( ~ aInteger0(X0)
| aElementOf0(X0,sbsmnsldt0(cS2043))
| ~ aDivisorOf0(sK19(X0),X0) ),
inference(consistent_polarity_flipping,[],[f313]) ).
fof(f482,plain,
! [X0] :
( ~ aInteger0(X0)
| aElementOf0(X0,sbsmnsldt0(cS2043))
| ~ isPrime0(sK19(X0)) ),
inference(consistent_polarity_flipping,[],[f314]) ).
fof(f483,plain,
! [X0,X4] :
( ~ aInteger0(X0)
| isPrime0(X4)
| aDivisorOf0(X4,X0)
| ~ aElementOf0(X0,sbsmnsldt0(cS2043)) ),
inference(consistent_polarity_flipping,[],[f315]) ).
fof(f498,definition,
( spl22_1
<=> aElementOf0(sK17,stldt0(sbsmnsldt0(cS2043))) ),
introduced(definition,[new_symbols(definition,[spl22_1])],[avatar_definition]) ).
fof(f499,plain,
( ~ aElementOf0(sK17,stldt0(sbsmnsldt0(cS2043)))
| spl22_1 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f500,plain,
( aElementOf0(sK17,stldt0(sbsmnsldt0(cS2043)))
| ~ spl22_1 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f502,definition,
( spl22_2
<=> smndt0(sz10) = sK17 ),
introduced(definition,[new_symbols(definition,[spl22_2])],[avatar_definition]) ).
fof(f503,plain,
( smndt0(sz10) = sK17
| ~ spl22_2 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f504,plain,
( smndt0(sz10) != sK17
| spl22_2 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f505,plain,
( spl22_1
| ~ spl22_2 ),
inference(avatar_split_clause,[],[f475,f502,f498]) ).
fof(f507,definition,
( spl22_3
<=> sz10 = sK17 ),
introduced(definition,[new_symbols(definition,[spl22_3])],[avatar_definition]) ).
fof(f508,plain,
( sz10 = sK17
| ~ spl22_3 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f509,plain,
( sz10 != sK17
| spl22_3 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f510,plain,
( spl22_1
| ~ spl22_3 ),
inference(avatar_split_clause,[],[f474,f507,f498]) ).
fof(f511,plain,
( ~ spl22_1
| spl22_3
| spl22_2 ),
inference(avatar_split_clause,[],[f473,f502,f507,f498]) ).
fof(f552,definition,
( spl22_14
<=> ! [X1] :
( isPrime0(X1)
| aDivisorOf0(X1,sz10) ) ),
introduced(definition,[new_symbols(definition,[spl22_14])],[avatar_definition]) ).
fof(f553,plain,
( ! [X1] :
( aDivisorOf0(X1,sz10)
| isPrime0(X1) )
| ~ spl22_14 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f555,definition,
( spl22_15
<=> aInteger0(sz10) ),
introduced(definition,[new_symbols(definition,[spl22_15])],[avatar_definition]) ).
fof(f556,plain,
( aInteger0(sz10)
| ~ spl22_15 ),
inference(avatar_component_clause,[],[f555]) ).
fof(f558,plain,
( spl22_14
| ~ spl22_15 ),
inference(avatar_split_clause,[],[f376,f555,f552]) ).
fof(f560,definition,
( spl22_16
<=> ! [X1] :
( isPrime0(X1)
| aDivisorOf0(X1,smndt0(sz10)) ) ),
introduced(definition,[new_symbols(definition,[spl22_16])],[avatar_definition]) ).
fof(f561,plain,
( ! [X1] :
( aDivisorOf0(X1,smndt0(sz10))
| isPrime0(X1) )
| ~ spl22_16 ),
inference(avatar_component_clause,[],[f560]) ).
fof(f563,definition,
( spl22_17
<=> aInteger0(smndt0(sz10)) ),
introduced(definition,[new_symbols(definition,[spl22_17])],[avatar_definition]) ).
fof(f564,plain,
( aInteger0(smndt0(sz10))
| ~ spl22_17 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f566,plain,
( spl22_16
| ~ spl22_17 ),
inference(avatar_split_clause,[],[f375,f563,f560]) ).
fof(f567,plain,
spl22_15,
inference(avatar_split_clause,[],[f114,f555]) ).
fof(f568,plain,
( aInteger0(sK17)
| spl22_1 ),
inference(resolution,[],[f471,f499]) ).
fof(f569,plain,
( aElementOf0(sK17,sbsmnsldt0(cS2043))
| spl22_1 ),
inference(resolution,[],[f472,f499]) ).
fof(f571,plain,
! [X0] :
( ~ isPrime0(sK19(X0))
| aElementOf0(X0,sbsmnsldt0(cS2043)) ),
inference(forward_subsumption_resolution,[],[f482,f469]) ).
fof(f574,plain,
! [X0] :
( ~ aDivisorOf0(sK19(X0),X0)
| aElementOf0(X0,sbsmnsldt0(cS2043)) ),
inference(forward_subsumption_resolution,[],[f481,f469]) ).
fof(f576,plain,
( ! [X0] :
( isPrime0(X0)
| aDivisorOf0(X0,sK17)
| ~ aElementOf0(sK17,sbsmnsldt0(cS2043)) )
| spl22_1 ),
inference(resolution,[],[f483,f568]) ).
fof(f577,plain,
( ! [X0] :
( aDivisorOf0(X0,sK17)
| isPrime0(X0) )
| spl22_1 ),
inference(forward_subsumption_resolution,[],[f576,f569]) ).
fof(f589,plain,
( aElementOf0(sz10,stldt0(sbsmnsldt0(cS2043)))
| ~ spl22_1
| ~ spl22_3 ),
inference(forward_demodulation,[],[f500,f508]) ).
fof(f634,plain,
( ~ aElementOf0(sz10,sbsmnsldt0(cS2043))
| ~ aElementOf0(sz10,stldt0(sbsmnsldt0(cS2043)))
| ~ spl22_15 ),
inference(resolution,[],[f556,f470]) ).
fof(f637,definition,
( spl22_27
<=> aElementOf0(sz10,sbsmnsldt0(cS2043)) ),
introduced(definition,[new_symbols(definition,[spl22_27])],[avatar_definition]) ).
fof(f676,definition,
( spl22_32
<=> aElementOf0(sz10,stldt0(sbsmnsldt0(cS2043))) ),
introduced(definition,[new_symbols(definition,[spl22_32])],[avatar_definition]) ).
fof(f679,plain,
( ~ spl22_32
| ~ spl22_27
| ~ spl22_15 ),
inference(avatar_split_clause,[],[f634,f555,f637,f676]) ).
fof(f782,plain,
( aInteger0(smndt0(sz10))
| ~ spl22_15 ),
inference(resolution,[],[f115,f556]) ).
fof(f786,plain,
( ! [X1] :
( aDivisorOf0(X1,sK17)
| isPrime0(X1) )
| ~ spl22_2
| ~ spl22_16 ),
inference(forward_demodulation,[],[f561,f503]) ).
fof(f787,plain,
( aInteger0(sK17)
| ~ spl22_2
| ~ spl22_17 ),
inference(forward_demodulation,[],[f564,f503]) ).
fof(f789,plain,
( ~ aElementOf0(sK17,sbsmnsldt0(cS2043))
| ~ aElementOf0(sK17,stldt0(sbsmnsldt0(cS2043)))
| ~ spl22_2
| ~ spl22_17 ),
inference(resolution,[],[f787,f470]) ).
fof(f810,definition,
( spl22_51
<=> aElementOf0(sK17,sbsmnsldt0(cS2043)) ),
introduced(definition,[new_symbols(definition,[spl22_51])],[avatar_definition]) ).
fof(f815,definition,
( spl22_52
<=> ! [X0] :
( isPrime0(X0)
| aDivisorOf0(X0,sK17) ) ),
introduced(definition,[new_symbols(definition,[spl22_52])],[avatar_definition]) ).
fof(f816,plain,
( ! [X0] :
( aDivisorOf0(X0,sK17)
| isPrime0(X0) )
| ~ spl22_52 ),
inference(avatar_component_clause,[],[f815]) ).
fof(f820,plain,
( spl22_32
| ~ spl22_1
| ~ spl22_3 ),
inference(avatar_split_clause,[],[f589,f507,f498,f676]) ).
fof(f821,plain,
( spl22_17
| ~ spl22_15 ),
inference(avatar_split_clause,[],[f782,f555,f563]) ).
fof(f823,plain,
( spl22_52
| spl22_1 ),
inference(avatar_split_clause,[],[f577,f498,f815]) ).
fof(f865,plain,
( isPrime0(sK19(sz10))
| aElementOf0(sz10,sbsmnsldt0(cS2043))
| ~ spl22_14 ),
inference(resolution,[],[f553,f574]) ).
fof(f866,plain,
( aElementOf0(sz10,sbsmnsldt0(cS2043))
| ~ spl22_14 ),
inference(forward_subsumption_resolution,[],[f865,f571]) ).
fof(f868,plain,
( spl22_27
| ~ spl22_14 ),
inference(avatar_split_clause,[],[f866,f552,f637]) ).
fof(f1605,plain,
( isPrime0(sK19(sK17))
| aElementOf0(sK17,sbsmnsldt0(cS2043))
| ~ spl22_52 ),
inference(resolution,[],[f816,f574]) ).
fof(f1606,plain,
( isPrime0(sK1(sK17))
| smndt0(sz10) = sK17
| sz10 = sK17
| ~ aInteger0(sK17)
| ~ spl22_52 ),
inference(resolution,[],[f816,f377]) ).
fof(f1607,plain,
( smndt0(sz10) = sK17
| sz10 = sK17
| ~ aInteger0(sK17)
| ~ spl22_52 ),
inference(forward_subsumption_resolution,[],[f1606,f378]) ).
fof(f1608,plain,
( aElementOf0(sK17,sbsmnsldt0(cS2043))
| ~ spl22_52 ),
inference(forward_subsumption_resolution,[],[f1605,f571]) ).
fof(f1610,plain,
( sz10 = sK17
| ~ aInteger0(sK17)
| spl22_2
| ~ spl22_52 ),
inference(forward_subsumption_resolution,[],[f1607,f504]) ).
fof(f1612,plain,
( ~ aInteger0(sK17)
| spl22_2
| spl22_3
| ~ spl22_52 ),
inference(forward_subsumption_resolution,[],[f1610,f509]) ).
fof(f1614,plain,
( $false
| spl22_1
| spl22_2
| spl22_3
| ~ spl22_52 ),
inference(forward_subsumption_resolution,[],[f1612,f568]) ).
fof(f1615,plain,
( spl22_1
| spl22_2
| spl22_3
| ~ spl22_52 ),
inference(avatar_contradiction_clause,[],[f1614]) ).
fof(f1617,plain,
( ~ spl22_1
| ~ spl22_51
| ~ spl22_2
| ~ spl22_17 ),
inference(avatar_split_clause,[],[f789,f563,f502,f810,f498]) ).
fof(f1618,plain,
( spl22_51
| ~ spl22_52 ),
inference(avatar_split_clause,[],[f1608,f815,f810]) ).
fof(f1631,plain,
( spl22_52
| ~ spl22_2
| ~ spl22_16 ),
inference(avatar_split_clause,[],[f786,f560,f502,f815]) ).
cnf(s1,plain,
( spl22_1
| ~ spl22_2 ),
inference(sat_conversion,[],[f505]) ).
cnf(s2,plain,
( spl22_1
| ~ spl22_3 ),
inference(sat_conversion,[],[f510]) ).
cnf(s3,plain,
( ~ spl22_1
| spl22_2
| spl22_3 ),
inference(sat_conversion,[],[f511]) ).
cnf(s13,plain,
( spl22_14
| ~ spl22_15 ),
inference(sat_conversion,[],[f558]) ).
cnf(s14,plain,
( spl22_16
| ~ spl22_17 ),
inference(sat_conversion,[],[f566]) ).
cnf(s15,plain,
spl22_15,
inference(sat_conversion,[],[f567]) ).
cnf(s35,plain,
( ~ spl22_15
| ~ spl22_27
| ~ spl22_32 ),
inference(sat_conversion,[],[f679]) ).
cnf(s65,plain,
( ~ spl22_1
| ~ spl22_3
| spl22_32 ),
inference(sat_conversion,[],[f820]) ).
cnf(s67,plain,
( ~ spl22_15
| spl22_17 ),
inference(sat_conversion,[],[f821]) ).
cnf(s69,plain,
( spl22_1
| spl22_52 ),
inference(sat_conversion,[],[f823]) ).
cnf(s78,plain,
( ~ spl22_14
| spl22_27 ),
inference(sat_conversion,[],[f868]) ).
cnf(s174,plain,
( spl22_1
| spl22_2
| spl22_3
| ~ spl22_52 ),
inference(sat_conversion,[],[f1615]) ).
cnf(s176,plain,
( ~ spl22_1
| ~ spl22_2
| ~ spl22_17
| ~ spl22_51 ),
inference(sat_conversion,[],[f1617]) ).
cnf(s177,plain,
( spl22_51
| ~ spl22_52 ),
inference(sat_conversion,[],[f1618]) ).
cnf(s180,plain,
( ~ spl22_2
| ~ spl22_16
| spl22_52 ),
inference(sat_conversion,[],[f1631]) ).
cnf(s182,plain,
spl22_17,
inference(rat,[],[s67,s15]) ).
cnf(s183,plain,
spl22_16,
inference(rat,[],[s14,s182]) ).
cnf(s187,plain,
spl22_14,
inference(rat,[],[s13,s15]) ).
cnf(s189,plain,
spl22_27,
inference(rat,[],[s78,s187]) ).
cnf(s190,plain,
~ spl22_32,
inference(rat,[],[s35,s15,s189]) ).
cnf(s202,plain,
spl22_1,
inference(rat,[],[s174,s1,s2,s69]) ).
cnf(s203,plain,
~ spl22_3,
inference(rat,[],[s65,s190,s202]) ).
cnf(s204,plain,
spl22_2,
inference(rat,[],[s3,s203,s202]) ).
cnf(s205,plain,
spl22_52,
inference(rat,[],[s180,s183,s204]) ).
cnf(s206,plain,
~ spl22_51,
inference(rat,[],[s176,s202,s182,s204]) ).
cnf(s207,plain,
$false,
inference(rat,[],[s177,s205,s206]) ).
fof(f1633,plain,
$false,
inference(avatar_sat_refutation,[],[s207]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM448+5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n002.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 20:00:52 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.45 Running first-order model finding
% 0.13/0.45 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
% 0.21/0.55 % (3842077)Will run a generic schedule for satisfiability detection.
% 0.21/0.55 % (3842087)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1542111085:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.55 % (3842084)% WARNING: option uhcvi not known.
% 0.21/0.55 % (3842088)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=239366567:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.55 % (3842084)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1859291095:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.55 % (3842086)dis+10_1_sil=32000:sp=arity:random_seed=1442847874:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.55 % (3842085)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1237057828:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.55 % (3842083)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2728322053_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.55 % (3842089)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=329699600:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.55 % TRYING [1]
% 0.21/0.55 % TRYING [2]
% 0.21/0.55 % (3842084) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3842077-3842084"...
% 0.21/0.55 % TRYING [3]
% 0.21/0.55 % (3842084)...printing done.
% 0.21/0.55 % (3842084)Refutation found. Thanks to Tanya!
% 0.21/0.55 % SZS status Theorem for theBenchmark
% 0.21/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.55 % (3842084)------------------------------
% 0.21/0.55 % (3842084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.55 % (3842084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.55 % (3842084)CaDiCaL version: 2.1.3
% 0.21/0.55 % (3842084)Termination reason: Refutation
% 0.21/0.55 % (3842084)Time elapsed: 0.038 s
% 0.21/0.55 % (3842084)Peak memory usage: 13 MB
% 0.21/0.55 % (3842084)Instructions burned: 38 (million)
% 0.21/0.55 % (3842077)Success in time 0.085 s
% 0.21/0.55 % Vampire exiting
%------------------------------------------------------------------------------