%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM454+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 : n010.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 12:15:15 PM UTC 2026
% Result : Theorem 5.65s 1.73s
% Output : Refutation 6.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 13
% Syntax : Number of formulae : 115 ( 50 unt; 1 def)
% Number of atoms : 475 ( 143 equ)
% Maximal formula atoms : 33 ( 4 avg)
% Number of connectives : 522 ( 162 ~; 141 |; 195 &)
% ( 9 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 2 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 134 ( 0 sgn 114 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntOne) ).
fof(f4,axiom,
! [X0] :
( aInteger0(X0)
=> aInteger0(smndt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntNeg) ).
fof(f7,axiom,
! [X0,X1,X2] :
( ( aInteger0(X0)
& aInteger0(X1)
& aInteger0(X2) )
=> sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddAsso) ).
fof(f8,axiom,
! [X0,X1] :
( ( aInteger0(X0)
& aInteger0(X1) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
fof(f9,axiom,
! [X0] :
( aInteger0(X0)
=> ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddZero) ).
fof(f10,axiom,
! [X0] :
( aInteger0(X0)
=> ( sdtpldt0(X0,smndt0(X0)) = sz00
& sz00 = sdtpldt0(smndt0(X0),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddNeg) ).
fof(f13,axiom,
! [X0] :
( aInteger0(X0)
=> ( sdtasdt0(X0,sz10) = X0
& X0 = sdtasdt0(sz10,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulOne) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aInteger0(X0)
& aInteger0(X1)
& aInteger0(X2) )
=> ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDistrib) ).
fof(f17,axiom,
! [X0,X1] :
( ( aInteger0(X0)
& aInteger0(X1) )
=> ( sdtasdt0(X0,X1) = sz00
=> ( X0 = sz00
| X1 = sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroDiv) ).
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/sandbox/benchmark/theBenchmark.p',m__2171) ).
fof(f47,axiom,
( ? [X0] :
( aInteger0(X0)
& sdtasdt0(xp,X0) = sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)) )
& aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,xp),sz10,xp)
& aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ? [X0] :
( aInteger0(X0)
& sdtasdt0(xp,X0) = sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)) )
& aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,smndt0(xp)),sz10,xp)
& aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2232) ).
fof(f49,conjecture,
( sdtpldt0(sz10,xp) != smndt0(sz10)
| sdtpldt0(sz10,smndt0(xp)) != smndt0(sz10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f50,negated_conjecture,
~ ( sdtpldt0(sz10,xp) != smndt0(sz10)
| sdtpldt0(sz10,smndt0(xp)) != smndt0(sz10) ),
inference(negated_conjecture,[status(cth)],[f49]) ).
fof(f60,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(f61,plain,
( ? [X0] :
( aInteger0(X0)
& sdtasdt0(xp,X0) = sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)) )
& aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,xp),sz10,xp)
& aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ? [X1] :
( aInteger0(X1)
& sdtasdt0(xp,X1) = sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)) )
& aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,smndt0(xp)),sz10,xp)
& aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(rectify,[],[f47]) ).
fof(f62,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f67,plain,
! [X0,X1,X2] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f68,plain,
! [X0,X1,X2] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(flattening,[],[f67]) ).
fof(f69,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f70,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(flattening,[],[f69]) ).
fof(f71,plain,
! [X0] :
( ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f72,plain,
! [X0] :
( ( sdtpldt0(X0,smndt0(X0)) = sz00
& sz00 = sdtpldt0(smndt0(X0),X0) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f77,plain,
! [X0] :
( ( sdtasdt0(X0,sz10) = X0
& X0 = sdtasdt0(sz10,X0) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)) )
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f79,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)) )
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(flattening,[],[f78]) ).
fof(f82,plain,
! [X0,X1] :
( X0 = sz00
| X1 = sz00
| sz00 != sdtasdt0(X0,X1)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f83,plain,
! [X0,X1] :
( X0 = sz00
| X1 = sz00
| sz00 != sdtasdt0(X0,X1)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(flattening,[],[f82]) ).
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(ennf_transformation,[],[f60]) ).
fof(f123,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,[],[f122]) ).
fof(f124,plain,
( smndt0(sz10) = sdtpldt0(sz10,xp)
& smndt0(sz10) = sdtpldt0(sz10,smndt0(xp)) ),
inference(ennf_transformation,[],[f50]) ).
fof(f176,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,[],[f123]) ).
fof(f177,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,[],[f176]) ).
fof(f178,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,[],[f177]) ).
fof(f179,plain,
( aInteger0(xp)
& xp != sz00
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ! [X0] :
( ( ( aInteger0(X0)
& aInteger0(sK26(X0))
& sdtpldt0(X0,smndt0(sz10)) = sdtasdt0(xp,sK26(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(sK27(X3),xS)
& aElementOf0(X3,sK27(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,[sK26,sK27]),skolemize(X1,sK26(X0)),skolemize(X5,sK27(X3))],[f178]) ).
fof(f180,plain,
( aInteger0(sK28)
& sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)) = sdtasdt0(xp,sK28)
& aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,xp),sz10,xp)
& aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& aInteger0(sK29)
& sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)) = sdtasdt0(xp,sK29)
& aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,smndt0(xp)),sz10,xp)
& aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK28,sK29]),skolemize(X0,sK28),skolemize(X1,sK29)],[f61]) ).
fof(f182,plain,
aInteger0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f183,plain,
! [X0] :
( ~ aInteger0(X0)
| aInteger0(smndt0(X0)) ),
inference(cnf_transformation,[],[f62]) ).
fof(f186,plain,
! [X2,X0,X1] :
( ~ aInteger0(X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2) ),
inference(cnf_transformation,[],[f68]) ).
fof(f187,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f188,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f71]) ).
fof(f190,plain,
! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(X0),X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f191,plain,
! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(X0,smndt0(X0)) ),
inference(cnf_transformation,[],[f72]) ).
fof(f195,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sz10) = X0 ),
inference(cnf_transformation,[],[f77]) ).
fof(f197,plain,
! [X2,X0,X1] :
( ~ aInteger0(X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ),
inference(cnf_transformation,[],[f79]) ).
fof(f202,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| sz00 = X1
| sz00 != sdtasdt0(X0,X1)
| ~ aInteger0(X0)
| sz00 = X0 ),
inference(cnf_transformation,[],[f83]) ).
fof(f383,plain,
sz00 != xp,
inference(cnf_transformation,[],[f179]) ).
fof(f384,plain,
aInteger0(xp),
inference(cnf_transformation,[],[f179]) ).
fof(f388,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)) = sdtasdt0(xp,sK29),
inference(cnf_transformation,[],[f180]) ).
fof(f393,plain,
sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)) = sdtasdt0(xp,sK28),
inference(cnf_transformation,[],[f180]) ).
fof(f397,plain,
smndt0(sz10) = sdtpldt0(sz10,smndt0(xp)),
inference(cnf_transformation,[],[f124]) ).
fof(f398,plain,
smndt0(sz10) = sdtpldt0(sz10,xp),
inference(cnf_transformation,[],[f124]) ).
fof(f526,plain,
sdtasdt0(xp,sK29) = sdtpldt0(smndt0(sz10),smndt0(sz10)),
inference(forward_demodulation,[],[f388,f397]) ).
fof(f530,plain,
sdtasdt0(xp,sK28) = sdtpldt0(smndt0(sz10),smndt0(sz10)),
inference(forward_demodulation,[],[f393,f398]) ).
fof(f592,plain,
sdtasdt0(xp,sK28) = sdtasdt0(xp,sK29),
inference(superposition,[],[f526,f530]) ).
fof(f597,plain,
sz00 = sdtpldt0(smndt0(xp),xp),
inference(resolution,[],[f190,f384]) ).
fof(f598,plain,
sz00 = sdtpldt0(smndt0(sz10),sz10),
inference(resolution,[],[f190,f182]) ).
fof(f605,plain,
xp = sdtasdt0(xp,sz10),
inference(resolution,[],[f195,f384]) ).
fof(f608,plain,
sz10 = sdtpldt0(sz00,sz10),
inference(resolution,[],[f188,f182]) ).
fof(f609,plain,
xp = sdtpldt0(sz00,xp),
inference(resolution,[],[f188,f384]) ).
fof(f634,plain,
sz00 = sdtpldt0(xp,smndt0(xp)),
inference(resolution,[],[f191,f384]) ).
fof(f652,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtpldt0(X0,X1),sz10) ),
inference(resolution,[],[f186,f182]) ).
fof(f653,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(X1,xp)) = sdtpldt0(sdtpldt0(X0,X1),xp) ),
inference(resolution,[],[f186,f384]) ).
fof(f656,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(sz10,xp)) = sdtpldt0(sdtpldt0(X0,sz10),xp) ),
inference(resolution,[],[f653,f182]) ).
fof(f660,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,smndt0(sz10)) = sdtpldt0(sdtpldt0(X0,sz10),xp) ),
inference(forward_demodulation,[],[f656,f398]) ).
fof(f667,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,xp) = sdtpldt0(xp,X0) ),
inference(resolution,[],[f187,f384]) ).
fof(f670,plain,
sdtpldt0(sz10,xp) = sdtpldt0(xp,sz10),
inference(resolution,[],[f667,f182]) ).
fof(f674,plain,
smndt0(sz10) = sdtpldt0(xp,sz10),
inference(forward_demodulation,[],[f670,f398]) ).
fof(f686,plain,
aInteger0(smndt0(sz10)),
inference(resolution,[],[f183,f182]) ).
fof(f687,plain,
aInteger0(smndt0(xp)),
inference(resolution,[],[f183,f384]) ).
fof(f699,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(X1,smndt0(xp))) = sdtpldt0(sdtpldt0(X0,X1),smndt0(xp)) ),
inference(resolution,[],[f687,f186]) ).
fof(f701,plain,
smndt0(xp) = sdtpldt0(sz00,smndt0(xp)),
inference(resolution,[],[f687,f188]) ).
fof(f762,plain,
sdtpldt0(smndt0(sz10),smndt0(sz10)) = sdtpldt0(sdtpldt0(smndt0(sz10),sz10),xp),
inference(resolution,[],[f686,f660]) ).
fof(f764,plain,
sdtpldt0(xp,smndt0(sz10)) = sdtpldt0(smndt0(sz10),xp),
inference(resolution,[],[f686,f667]) ).
fof(f766,plain,
sdtpldt0(smndt0(sz10),smndt0(sz10)) = sdtpldt0(sz00,xp),
inference(forward_demodulation,[],[f762,f598]) ).
fof(f769,plain,
xp = sdtpldt0(smndt0(sz10),smndt0(sz10)),
inference(forward_demodulation,[],[f766,f609]) ).
fof(f1123,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz10)) ),
inference(resolution,[],[f197,f182]) ).
fof(f1292,plain,
xp = sdtasdt0(xp,sK28),
inference(superposition,[],[f530,f769]) ).
fof(f1509,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(xp,sz10)) = sdtpldt0(sdtpldt0(X0,xp),sz10) ),
inference(resolution,[],[f652,f384]) ).
fof(f1514,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,smndt0(sz10)) = sdtpldt0(sdtpldt0(X0,xp),sz10) ),
inference(forward_demodulation,[],[f1509,f674]) ).
fof(f1537,plain,
sdtpldt0(smndt0(sz10),smndt0(sz10)) = sdtpldt0(sdtpldt0(smndt0(sz10),xp),sz10),
inference(resolution,[],[f1514,f686]) ).
fof(f1541,plain,
sdtpldt0(smndt0(xp),smndt0(sz10)) = sdtpldt0(sdtpldt0(smndt0(xp),xp),sz10),
inference(resolution,[],[f1514,f687]) ).
fof(f1569,plain,
sdtpldt0(sz00,sz10) = sdtpldt0(smndt0(xp),smndt0(sz10)),
inference(forward_demodulation,[],[f1541,f597]) ).
fof(f1573,plain,
sdtpldt0(smndt0(sz10),smndt0(sz10)) = sdtpldt0(sdtpldt0(xp,smndt0(sz10)),sz10),
inference(forward_demodulation,[],[f1537,f764]) ).
fof(f1577,plain,
sz10 = sdtpldt0(smndt0(xp),smndt0(sz10)),
inference(forward_demodulation,[],[f1569,f608]) ).
fof(f1578,plain,
sdtasdt0(xp,sK29) = sdtpldt0(sdtpldt0(xp,smndt0(sz10)),sz10),
inference(forward_demodulation,[],[f1573,f526]) ).
fof(f1582,plain,
sdtasdt0(xp,sK28) = sdtpldt0(sdtpldt0(xp,smndt0(sz10)),sz10),
inference(forward_demodulation,[],[f1578,f592]) ).
fof(f1584,plain,
xp = sdtpldt0(sdtpldt0(xp,smndt0(sz10)),sz10),
inference(forward_demodulation,[],[f1582,f1292]) ).
fof(f1656,plain,
! [X0] :
( sz00 = xp
| sz00 != sdtasdt0(X0,xp)
| ~ aInteger0(X0)
| sz00 = X0 ),
inference(resolution,[],[f202,f384]) ).
fof(f1673,plain,
! [X0] :
( sz00 != sdtasdt0(X0,xp)
| ~ aInteger0(X0)
| sz00 = X0 ),
inference(forward_subsumption_resolution,[],[f1656,f383]) ).
fof(f1678,definition,
( spl30_29
<=> sz00 = sdtpldt0(xp,xp) ),
introduced(definition,[new_symbols(definition,[spl30_29])],[avatar_definition]) ).
fof(f1679,plain,
( sz00 = sdtpldt0(xp,xp)
| ~ spl30_29 ),
inference(avatar_component_clause,[],[f1678]) ).
fof(f1859,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(sz10,smndt0(xp))) = sdtpldt0(sdtpldt0(X0,sz10),smndt0(xp)) ),
inference(resolution,[],[f699,f182]) ).
fof(f1884,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,smndt0(sz10)) = sdtpldt0(sdtpldt0(X0,sz10),smndt0(xp)) ),
inference(forward_demodulation,[],[f1859,f397]) ).
fof(f1890,plain,
sdtpldt0(smndt0(sz10),smndt0(sz10)) = sdtpldt0(sdtpldt0(smndt0(sz10),sz10),smndt0(xp)),
inference(resolution,[],[f1884,f686]) ).
fof(f1927,plain,
sdtpldt0(smndt0(sz10),smndt0(sz10)) = sdtpldt0(sz00,smndt0(xp)),
inference(forward_demodulation,[],[f1890,f598]) ).
fof(f1933,plain,
smndt0(xp) = sdtpldt0(smndt0(sz10),smndt0(sz10)),
inference(forward_demodulation,[],[f1927,f701]) ).
fof(f1937,plain,
xp = smndt0(xp),
inference(forward_demodulation,[],[f1933,f769]) ).
fof(f1942,plain,
sz00 = sdtpldt0(xp,xp),
inference(superposition,[],[f634,f1937]) ).
fof(f1950,plain,
sz10 = sdtpldt0(xp,smndt0(sz10)),
inference(superposition,[],[f1577,f1937]) ).
fof(f1953,plain,
spl30_29,
inference(avatar_split_clause,[],[f1942,f1678]) ).
fof(f2294,plain,
xp = sdtpldt0(sz10,sz10),
inference(superposition,[],[f1584,f1950]) ).
fof(f2461,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sdtpldt0(sz10,sz10)) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,sz10)) ),
inference(resolution,[],[f1123,f182]) ).
fof(f2506,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,xp) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,sz10)) ),
inference(forward_demodulation,[],[f2461,f2294]) ).
fof(f3235,plain,
sdtasdt0(xp,xp) = sdtpldt0(sdtasdt0(xp,sz10),sdtasdt0(xp,sz10)),
inference(resolution,[],[f2506,f384]) ).
fof(f3244,plain,
sdtasdt0(xp,xp) = sdtpldt0(xp,xp),
inference(forward_demodulation,[],[f3235,f605]) ).
fof(f3269,plain,
( sz00 = sdtasdt0(xp,xp)
| ~ spl30_29 ),
inference(forward_demodulation,[],[f3244,f1679]) ).
fof(f3319,plain,
( sz00 != sz00
| ~ aInteger0(xp)
| sz00 = xp
| ~ spl30_29 ),
inference(superposition,[],[f1673,f3269]) ).
fof(f3320,plain,
( ~ aInteger0(xp)
| sz00 = xp
| ~ spl30_29 ),
inference(trivial_inequality_removal,[],[f3319]) ).
fof(f3323,plain,
( sz00 = xp
| ~ spl30_29 ),
inference(forward_subsumption_resolution,[],[f3320,f384]) ).
fof(f3325,plain,
( $false
| ~ spl30_29 ),
inference(forward_subsumption_resolution,[],[f3323,f383]) ).
fof(f3326,plain,
~ spl30_29,
inference(avatar_contradiction_clause,[],[f3325]) ).
cnf(s46,plain,
spl30_29,
inference(sat_conversion,[],[f1953]) ).
cnf(s59,plain,
~ spl30_29,
inference(sat_conversion,[],[f3326]) ).
cnf(s60,plain,
$false,
inference(rat,[],[s46,s59]) ).
fof(f3327,plain,
$false,
inference(avatar_sat_refutation,[],[s60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM454+6 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n010.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 20:00:02 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 5.65/1.73 % (1269146)Detected formulas, will run a generic FOF schedule.
% 5.65/1.73 % (1269152)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=1507719497:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.65/1.73 % (1269155)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1621287502:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.65/1.73 % (1269153)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=1136883832:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.65/1.73 % (1269157)dis-21_1_sil=8000:lcm=predicate:random_seed=3754188233: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)
% 5.65/1.73 % (1269154)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3843105069:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.65/1.73 % (1269151)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=1242661055:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.65/1.73 % (1269156)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2690863110:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.65/1.73 % (1269154)Instruction limit reached!
% 5.65/1.73 % (1269154)------------------------------
% 5.65/1.73 % (1269154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.65/1.73 % (1269154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.73 % (1269154)CaDiCaL version: 2.1.3
% 5.65/1.73 % (1269154)Termination reason: Instruction limit
% 5.65/1.73 % (1269154)Termination phase: Saturation
% 5.65/1.73 % (1269154)Time elapsed: 0.071 s
% 5.65/1.73 % (1269154)Peak memory usage: 90 MB
% 5.65/1.73 % (1269154)Instructions burned: 111 (million)
% 5.65/1.73 % (1269155)Instruction limit reached!
% 5.65/1.73 % (1269155)------------------------------
% 5.65/1.73 % (1269155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.65/1.73 % (1269155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.73 % (1269155)CaDiCaL version: 2.1.3
% 5.65/1.73 % (1269155)Termination reason: Instruction limit
% 5.65/1.73 % (1269155)Termination phase: Saturation
% 5.65/1.73 % (1269155)Time elapsed: 0.073 s
% 5.65/1.73 % (1269155)Peak memory usage: 89 MB
% 5.65/1.73 % (1269155)Instructions burned: 119 (million)
% 5.65/1.73 % (1269157)Instruction limit reached!
% 5.65/1.73 % (1269157)------------------------------
% 5.65/1.73 % (1269157)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.65/1.73 % (1269157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.73 % (1269157)CaDiCaL version: 2.1.3
% 5.65/1.73 % (1269157)Termination reason: Instruction limit
% 5.65/1.73 % (1269157)Termination phase: Saturation
% 5.65/1.73 % (1269157)Time elapsed: 0.074 s
% 5.65/1.73 % (1269157)Peak memory usage: 90 MB
% 5.65/1.73 % (1269157)Instructions burned: 130 (million)
% 5.65/1.73 % (1269156)Instruction limit reached!
% 5.65/1.73 % (1269156)------------------------------
% 5.65/1.73 % (1269156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.65/1.73 % (1269156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.73 % (1269156)CaDiCaL version: 2.1.3
% 5.65/1.73 % (1269156)Termination reason: Instruction limit
% 5.65/1.73 % (1269156)Termination phase: Saturation
% 5.65/1.73 % (1269156)Time elapsed: 0.092 s
% 5.65/1.73 % (1269156)Peak memory usage: 90 MB
% 5.65/1.73 % (1269156)Instructions burned: 139 (million)
% 5.65/1.73 % (1269165)lrs+10_1_sil=8000:sp=occurrence:random_seed=398463935:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.65/1.73 % (1269167)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1245786455:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.65/1.73 % (1269166)lrs+10_1_sil=32000:urr=on:br=off:random_seed=634760862:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.65/1.73 % (1269168)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=3970250388:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.65/1.73 % (1269166)Instruction limit reached!
% 5.65/1.73 % (1269166)------------------------------
% 5.65/1.73 % (1269166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.65/1.73 % (1269166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.73 % (1269166)CaDiCaL version: 2.1.3
% 5.65/1.73 % (1269166)Termination reason: Instruction limit
% 5.65/1.73 % (1269166)Termination phase: Saturation
% 5.65/1.73 % (1269166)Time elapsed: 0.081 s
% 5.65/1.73 % (1269166)Peak memory usage: 94 MB
% 5.65/1.73 % (1269166)Instructions burned: 157 (million)
% 5.65/1.73 % (1269168)Instruction limit reached!
% 5.65/1.73 % (1269168)------------------------------
% 5.65/1.73 % (1269168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.65/1.73 % (1269168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.73 % (1269168)CaDiCaL version: 2.1.3
% 5.65/1.73 % (1269168)Termination reason: Instruction limit
% 5.65/1.73 % (1269168)Termination phase: Saturation
% 5.65/1.73 % (1269168)Time elapsed: 0.124 s
% 5.65/1.73 % (1269168)Peak memory usage: 95 MB
% 5.65/1.73 % (1269168)Instructions burned: 250 (million)
% 5.65/1.73 % (1269165)Instruction limit reached!
% 5.65/1.73 % (1269165)------------------------------
% 5.65/1.73 % (1269165)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.65/1.73 % (1269165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.73 % (1269165)CaDiCaL version: 2.1.3
% 5.65/1.73 % (1269165)Termination reason: Instruction limit
% 5.65/1.73 % (1269165)Termination phase: Saturation
% 5.65/1.73 % (1269165)Time elapsed: 0.161 s
% 5.65/1.73 % (1269165)Peak memory usage: 92 MB
% 5.65/1.73 % (1269165)Instructions burned: 286 (million)
% 5.65/1.73 % (1269173)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3849898899:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.65/1.73 % (1269167)Instruction limit reached!
% 5.65/1.73 % (1269167)------------------------------
% 5.65/1.73 % (1269167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.65/1.73 % (1269167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.73 % (1269167)CaDiCaL version: 2.1.3
% 5.65/1.73 % (1269167)Termination reason: Instruction limit
% 5.65/1.73 % (1269167)Termination phase: Saturation
% 5.65/1.73 % (1269167)Time elapsed: 0.205 s
% 5.65/1.73 % (1269167)Peak memory usage: 92 MB
% 5.65/1.73 % (1269167)Instructions burned: 325 (million)
% 5.65/1.73 % (1269174)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3636816181:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 5.65/1.73 % (1269175)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1637318896:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 5.65/1.73 % (1269177)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4287156362:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 5.65/1.73 % (1269152)First to succeed.
% 5.65/1.73 % (1269152)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1269146"
% 5.65/1.73 % (1269175)Instruction limit reached!
% 5.65/1.73 % (1269175)------------------------------
% 5.65/1.73 % (1269175)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.65/1.73 % (1269175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.73 % (1269175)CaDiCaL version: 2.1.3
% 5.65/1.73 % (1269175)Termination reason: Instruction limit
% 5.65/1.73 % (1269175)Termination phase: Saturation
% 5.65/1.73 % (1269175)Time elapsed: 0.074 s
% 5.65/1.73 % (1269175)Peak memory usage: 91 MB
% 5.65/1.73 % (1269175)Instructions burned: 113 (million)
% 5.65/1.73 % (1269173)Instruction limit reached!
% 5.65/1.73 % (1269173)------------------------------
% 5.65/1.73 % (1269173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.65/1.73 % (1269173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.73 % (1269173)CaDiCaL version: 2.1.3
% 5.65/1.73 % (1269173)Termination reason: Instruction limit
% 5.65/1.73 % (1269173)Termination phase: Saturation
% 5.65/1.73 % (1269173)Time elapsed: 0.180 s
% 5.65/1.73 % (1269173)Peak memory usage: 90 MB
% 5.65/1.73 % (1269173)Instructions burned: 294 (million)
% 5.65/1.73 % (1269177)Instruction limit reached!
% 5.65/1.73 % (1269177)------------------------------
% 5.65/1.73 % (1269177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.65/1.73 % (1269177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.73 % (1269177)CaDiCaL version: 2.1.3
% 5.65/1.73 % (1269177)Termination reason: Instruction limit
% 5.65/1.73 % (1269177)Termination phase: Saturation
% 5.65/1.73 % (1269177)Time elapsed: 0.065 s
% 5.65/1.73 % (1269177)Peak memory usage: 89 MB
% 5.65/1.73 % (1269177)Instructions burned: 129 (million)
% 5.65/1.73 % (1269181)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3809225265:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 5.65/1.73 % (1269182)lrs+10_1_sil=8000:sp=occurrence:random_seed=67323850:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 5.65/1.73 % (1269183)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2480477354:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 5.65/1.73 % (1269152)Refutation found. Thanks to Tanya!
% 5.65/1.73 % SZS status Theorem for theBenchmark
% 5.65/1.73 % SZS output start Proof for theBenchmark
% See solution above
% 6.71/1.92 % (1269152)------------------------------
% 6.71/1.92 % (1269152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/1.92 % (1269152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.92 % (1269152)CaDiCaL version: 2.1.3
% 6.71/1.92 % (1269152)Termination reason: Refutation
% 6.71/1.92 % (1269152)Time elapsed: 0.594 s
% 6.71/1.92 % (1269152)Peak memory usage: 136 MB
% 6.71/1.92 % (1269152)Instructions burned: 1521 (million)
% 6.71/1.92 % (1269152)------------------------------
% 6.71/1.92 % (1269152)------------------------------
% 6.71/1.92 % (1269146)Success in time 0.863 s
% 6.71/1.92 % Vampire exiting
%------------------------------------------------------------------------------