%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM633+3 : 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 : 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 12:16:05 PM UTC 2026
% Result : Theorem 3.82s 1.54s
% Output : Refutation 5.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 38 ( 10 unt; 2 def)
% Number of atoms : 344 ( 56 equ)
% Maximal formula atoms : 32 ( 9 avg)
% Number of connectives : 426 ( 120 ~; 95 |; 182 &)
% ( 1 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 8 con; 0-2 aty)
% Number of variables : 117 ( 90 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f94,axiom,
( aElementOf0(szDzizrdt0(xd),xT)
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
<=> ( aElementOf0(X0,szDzozmdt0(xd))
& sdtlpdtrp0(xd,X0) = szDzizrdt0(xd) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4854) ).
fof(f96,axiom,
( aSet0(xO)
& isCountable0(xO) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4908) ).
fof(f98,axiom,
( ! [X0] :
( aElementOf0(X0,xO)
=> aElementOf0(X0,xS) )
& aSubsetOf0(xO,xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4998) ).
fof(f99,conjecture,
( ! [X0] :
( ( ( ( ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xO) ) )
| aSubsetOf0(X0,xO) )
& sbrdtbr0(X0) = xK )
| aElementOf0(X0,slbdtsldtrb0(xO,xK)) )
=> ( ~ ( ~ ? [X1] : aElementOf0(X1,X0)
| X0 = slcrc0 )
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,szNzAzT0) )
& aSubsetOf0(X0,szNzAzT0)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSubsetOf0(X0,xS)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSubsetOf0(X0,xS)
& aElementOf0(X0,szDzozmdt0(xc))
& sdtlpdtrp0(xc,X0) = szDzizrdt0(xd) ) )
=> ? [X0] :
( aElementOf0(X0,xT)
& ? [X1] :
( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) ) )
| aSubsetOf0(X1,xS) )
& isCountable0(X1)
& ! [X2] :
( ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) )
& aSubsetOf0(X2,X1)
& sbrdtbr0(X2) = xK
& aElementOf0(X2,slbdtsldtrb0(X1,xK)) )
=> sdtlpdtrp0(xc,X2) = X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f100,negated_conjecture,
~ ( ! [X0] :
( ( ( ( ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xO) ) )
| aSubsetOf0(X0,xO) )
& sbrdtbr0(X0) = xK )
| aElementOf0(X0,slbdtsldtrb0(xO,xK)) )
=> ( ~ ( ~ ? [X1] : aElementOf0(X1,X0)
| X0 = slcrc0 )
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,szNzAzT0) )
& aSubsetOf0(X0,szNzAzT0)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSubsetOf0(X0,xS)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSubsetOf0(X0,xS)
& aElementOf0(X0,szDzozmdt0(xc))
& sdtlpdtrp0(xc,X0) = szDzizrdt0(xd) ) )
=> ? [X0] :
( aElementOf0(X0,xT)
& ? [X1] :
( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) ) )
| aSubsetOf0(X1,xS) )
& isCountable0(X1)
& ! [X2] :
( ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) )
& aSubsetOf0(X2,X1)
& sbrdtbr0(X2) = xK
& aElementOf0(X2,slbdtsldtrb0(X1,xK)) )
=> sdtlpdtrp0(xc,X2) = X0 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f99]) ).
fof(f101,plain,
~ ( ! [X0] :
( ( ( ( ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xO) ) )
| aSubsetOf0(X0,xO) )
& sbrdtbr0(X0) = xK )
| aElementOf0(X0,slbdtsldtrb0(xO,xK)) )
=> ( ~ ( ~ ? [X2] : aElementOf0(X2,X0)
| X0 = slcrc0 )
& ! [X3] :
( aElementOf0(X3,X0)
=> aElementOf0(X3,szNzAzT0) )
& aSubsetOf0(X0,szNzAzT0)
& ! [X4] :
( aElementOf0(X4,X0)
=> aElementOf0(X4,xS) )
& aSubsetOf0(X0,xS)
& ! [X5] :
( aElementOf0(X5,X0)
=> aElementOf0(X5,xS) )
& aSubsetOf0(X0,xS)
& aElementOf0(X0,szDzozmdt0(xc))
& sdtlpdtrp0(xc,X0) = szDzizrdt0(xd) ) )
=> ? [X6] :
( aElementOf0(X6,xT)
& ? [X7] :
( ( ( aSet0(X7)
& ! [X8] :
( aElementOf0(X8,X7)
=> aElementOf0(X8,xS) ) )
| aSubsetOf0(X7,xS) )
& isCountable0(X7)
& ! [X9] :
( ( aSet0(X9)
& ! [X10] :
( aElementOf0(X10,X9)
=> aElementOf0(X10,X7) )
& aSubsetOf0(X9,X7)
& xK = sbrdtbr0(X9)
& aElementOf0(X9,slbdtsldtrb0(X7,xK)) )
=> sdtlpdtrp0(xc,X9) = X6 ) ) ) ),
inference(rectify,[],[f100]) ).
fof(f113,plain,
( ! [X6] :
( ~ aElementOf0(X6,xT)
| ! [X7] :
( ( ( ~ aSet0(X7)
| ? [X8] :
( ~ aElementOf0(X8,xS)
& aElementOf0(X8,X7) ) )
& ~ aSubsetOf0(X7,xS) )
| ~ isCountable0(X7)
| ? [X9] :
( sdtlpdtrp0(xc,X9) != X6
& aSet0(X9)
& ! [X10] :
( aElementOf0(X10,X7)
| ~ aElementOf0(X10,X9) )
& aSubsetOf0(X9,X7)
& xK = sbrdtbr0(X9)
& aElementOf0(X9,slbdtsldtrb0(X7,xK)) ) ) )
& ! [X0] :
( ( ? [X2] : aElementOf0(X2,X0)
& slcrc0 != X0
& ! [X3] :
( aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,X0) )
& aSubsetOf0(X0,szNzAzT0)
& ! [X4] :
( aElementOf0(X4,xS)
| ~ aElementOf0(X4,X0) )
& aSubsetOf0(X0,xS)
& ! [X5] :
( aElementOf0(X5,xS)
| ~ aElementOf0(X5,X0) )
& aSubsetOf0(X0,xS)
& aElementOf0(X0,szDzozmdt0(xc))
& sdtlpdtrp0(xc,X0) = szDzizrdt0(xd) )
| ( ( ( ( ~ aSet0(X0)
| ? [X1] :
( ~ aElementOf0(X1,xO)
& aElementOf0(X1,X0) ) )
& ~ aSubsetOf0(X0,xO) )
| sbrdtbr0(X0) != xK )
& ~ aElementOf0(X0,slbdtsldtrb0(xO,xK)) ) ) ),
inference(ennf_transformation,[],[f101]) ).
fof(f114,plain,
( ! [X6] :
( ~ aElementOf0(X6,xT)
| ! [X7] :
( ( ( ~ aSet0(X7)
| ? [X8] :
( ~ aElementOf0(X8,xS)
& aElementOf0(X8,X7) ) )
& ~ aSubsetOf0(X7,xS) )
| ~ isCountable0(X7)
| ? [X9] :
( sdtlpdtrp0(xc,X9) != X6
& aSet0(X9)
& ! [X10] :
( aElementOf0(X10,X7)
| ~ aElementOf0(X10,X9) )
& aSubsetOf0(X9,X7)
& xK = sbrdtbr0(X9)
& aElementOf0(X9,slbdtsldtrb0(X7,xK)) ) ) )
& ! [X0] :
( ( ? [X2] : aElementOf0(X2,X0)
& slcrc0 != X0
& ! [X3] :
( aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,X0) )
& aSubsetOf0(X0,szNzAzT0)
& ! [X4] :
( aElementOf0(X4,xS)
| ~ aElementOf0(X4,X0) )
& aSubsetOf0(X0,xS)
& ! [X5] :
( aElementOf0(X5,xS)
| ~ aElementOf0(X5,X0) )
& aSubsetOf0(X0,xS)
& aElementOf0(X0,szDzozmdt0(xc))
& sdtlpdtrp0(xc,X0) = szDzizrdt0(xd) )
| ( ( ( ( ~ aSet0(X0)
| ? [X1] :
( ~ aElementOf0(X1,xO)
& aElementOf0(X1,X0) ) )
& ~ aSubsetOf0(X0,xO) )
| sbrdtbr0(X0) != xK )
& ~ aElementOf0(X0,slbdtsldtrb0(xO,xK)) ) ) ),
inference(flattening,[],[f113]) ).
fof(f150,plain,
( ! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xO) )
& aSubsetOf0(xO,xS) ),
inference(ennf_transformation,[],[f98]) ).
fof(f159,definition,
! [X0] :
( ( ? [X2] : aElementOf0(X2,X0)
& slcrc0 != X0
& ! [X3] :
( aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,X0) )
& aSubsetOf0(X0,szNzAzT0)
& ! [X4] :
( aElementOf0(X4,xS)
| ~ aElementOf0(X4,X0) )
& aSubsetOf0(X0,xS)
& ! [X5] :
( aElementOf0(X5,xS)
| ~ aElementOf0(X5,X0) )
& aSubsetOf0(X0,xS)
& aElementOf0(X0,szDzozmdt0(xc))
& sdtlpdtrp0(xc,X0) = szDzizrdt0(xd) )
| ~ sP0(X0) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f160,definition,
! [X6,X7] :
( ? [X9] :
( sdtlpdtrp0(xc,X9) != X6
& aSet0(X9)
& ! [X10] :
( aElementOf0(X10,X7)
| ~ aElementOf0(X10,X9) )
& aSubsetOf0(X9,X7)
& xK = sbrdtbr0(X9)
& aElementOf0(X9,slbdtsldtrb0(X7,xK)) )
| ~ sP1(X6,X7) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f161,plain,
( ! [X6] :
( ~ aElementOf0(X6,xT)
| ! [X7] :
( ( ( ~ aSet0(X7)
| ? [X8] :
( ~ aElementOf0(X8,xS)
& aElementOf0(X8,X7) ) )
& ~ aSubsetOf0(X7,xS) )
| ~ isCountable0(X7)
| sP1(X6,X7) ) )
& ! [X0] :
( sP0(X0)
| ( ( ( ( ~ aSet0(X0)
| ? [X1] :
( ~ aElementOf0(X1,xO)
& aElementOf0(X1,X0) ) )
& ~ aSubsetOf0(X0,xO) )
| sbrdtbr0(X0) != xK )
& ~ aElementOf0(X0,slbdtsldtrb0(xO,xK)) ) ) ),
inference(definition_folding,[],[f114,f160,f159]) ).
fof(f175,plain,
! [X6,X7] :
( ? [X9] :
( sdtlpdtrp0(xc,X9) != X6
& aSet0(X9)
& ! [X10] :
( aElementOf0(X10,X7)
| ~ aElementOf0(X10,X9) )
& aSubsetOf0(X9,X7)
& xK = sbrdtbr0(X9)
& aElementOf0(X9,slbdtsldtrb0(X7,xK)) )
| ~ sP1(X6,X7) ),
inference(nnf_transformation,[],[f160]) ).
fof(f176,plain,
! [X0,X1] :
( ? [X2] :
( sdtlpdtrp0(xc,X2) != X0
& aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& aSubsetOf0(X2,X1)
& sbrdtbr0(X2) = xK
& aElementOf0(X2,slbdtsldtrb0(X1,xK)) )
| ~ sP1(X0,X1) ),
inference(rectify,[],[f175]) ).
fof(f177,plain,
! [X0,X1] :
( ( sdtlpdtrp0(xc,sK12(X0,X1)) != X0
& aSet0(sK12(X0,X1))
& ! [X3] :
( aElementOf0(X3,X1)
| ~ aElementOf0(X3,sK12(X0,X1)) )
& aSubsetOf0(sK12(X0,X1),X1)
& xK = sbrdtbr0(sK12(X0,X1))
& aElementOf0(sK12(X0,X1),slbdtsldtrb0(X1,xK)) )
| ~ sP1(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f176]) ).
fof(f178,plain,
! [X0] :
( ( ? [X2] : aElementOf0(X2,X0)
& slcrc0 != X0
& ! [X3] :
( aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,X0) )
& aSubsetOf0(X0,szNzAzT0)
& ! [X4] :
( aElementOf0(X4,xS)
| ~ aElementOf0(X4,X0) )
& aSubsetOf0(X0,xS)
& ! [X5] :
( aElementOf0(X5,xS)
| ~ aElementOf0(X5,X0) )
& aSubsetOf0(X0,xS)
& aElementOf0(X0,szDzozmdt0(xc))
& sdtlpdtrp0(xc,X0) = szDzizrdt0(xd) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f159]) ).
fof(f179,plain,
! [X0] :
( ( ? [X1] : aElementOf0(X1,X0)
& slcrc0 != X0
& ! [X2] :
( aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X0) )
& aSubsetOf0(X0,szNzAzT0)
& ! [X3] :
( aElementOf0(X3,xS)
| ~ aElementOf0(X3,X0) )
& aSubsetOf0(X0,xS)
& ! [X4] :
( aElementOf0(X4,xS)
| ~ aElementOf0(X4,X0) )
& aSubsetOf0(X0,xS)
& aElementOf0(X0,szDzozmdt0(xc))
& sdtlpdtrp0(xc,X0) = szDzizrdt0(xd) )
| ~ sP0(X0) ),
inference(rectify,[],[f178]) ).
fof(f180,plain,
! [X0] :
( ( aElementOf0(sK13(X0),X0)
& slcrc0 != X0
& ! [X2] :
( aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X0) )
& aSubsetOf0(X0,szNzAzT0)
& ! [X3] :
( aElementOf0(X3,xS)
| ~ aElementOf0(X3,X0) )
& aSubsetOf0(X0,xS)
& ! [X4] :
( aElementOf0(X4,xS)
| ~ aElementOf0(X4,X0) )
& aSubsetOf0(X0,xS)
& aElementOf0(X0,szDzozmdt0(xc))
& sdtlpdtrp0(xc,X0) = szDzizrdt0(xd) )
| ~ sP0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X1,sK13(X0))],[f179]) ).
fof(f181,plain,
( ! [X0] :
( ~ aElementOf0(X0,xT)
| ! [X1] :
( ( ( ~ aSet0(X1)
| ? [X2] :
( ~ aElementOf0(X2,xS)
& aElementOf0(X2,X1) ) )
& ~ aSubsetOf0(X1,xS) )
| ~ isCountable0(X1)
| sP1(X0,X1) ) )
& ! [X3] :
( sP0(X3)
| ( ( ( ( ~ aSet0(X3)
| ? [X4] :
( ~ aElementOf0(X4,xO)
& aElementOf0(X4,X3) ) )
& ~ aSubsetOf0(X3,xO) )
| sbrdtbr0(X3) != xK )
& ~ aElementOf0(X3,slbdtsldtrb0(xO,xK)) ) ) ),
inference(rectify,[],[f161]) ).
fof(f182,plain,
( ! [X0] :
( ~ aElementOf0(X0,xT)
| ! [X1] :
( ( ( ~ aSet0(X1)
| ( ~ aElementOf0(sK14(X1),xS)
& aElementOf0(sK14(X1),X1) ) )
& ~ aSubsetOf0(X1,xS) )
| ~ isCountable0(X1)
| sP1(X0,X1) ) )
& ! [X3] :
( sP0(X3)
| ( ( ( ( ~ aSet0(X3)
| ( ~ aElementOf0(sK15(X3),xO)
& aElementOf0(sK15(X3),X3) ) )
& ~ aSubsetOf0(X3,xO) )
| sbrdtbr0(X3) != xK )
& ~ aElementOf0(X3,slbdtsldtrb0(xO,xK)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15]),skolemize(X2,sK14(X1)),skolemize(X4,sK15(X3))],[f181]) ).
fof(f205,plain,
( aElementOf0(szDzizrdt0(xd),xT)
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X0] :
( ( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(X0,szDzozmdt0(xd))
| sdtlpdtrp0(xd,X0) != szDzizrdt0(xd) )
& ( ( aElementOf0(X0,szDzozmdt0(xd))
& sdtlpdtrp0(xd,X0) = szDzizrdt0(xd) )
| ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ) ),
inference(nnf_transformation,[],[f94]) ).
fof(f206,plain,
( aElementOf0(szDzizrdt0(xd),xT)
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X0] :
( ( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(X0,szDzozmdt0(xd))
| sdtlpdtrp0(xd,X0) != szDzizrdt0(xd) )
& ( ( aElementOf0(X0,szDzozmdt0(xd))
& sdtlpdtrp0(xd,X0) = szDzizrdt0(xd) )
| ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ) ),
inference(flattening,[],[f205]) ).
fof(f246,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| xK = sbrdtbr0(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f177]) ).
fof(f247,plain,
! [X0,X1] :
( aSubsetOf0(sK12(X0,X1),X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f177]) ).
fof(f250,plain,
! [X0,X1] :
( sdtlpdtrp0(xc,sK12(X0,X1)) != X0
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f177]) ).
fof(f251,plain,
! [X0] :
( ~ sP0(X0)
| szDzizrdt0(xd) = sdtlpdtrp0(xc,X0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f262,plain,
! [X3] :
( sbrdtbr0(X3) != xK
| ~ aSubsetOf0(X3,xO)
| sP0(X3) ),
inference(cnf_transformation,[],[f182]) ).
fof(f265,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,xS)
| ~ aElementOf0(X0,xT)
| ~ isCountable0(X1)
| sP1(X0,X1) ),
inference(cnf_transformation,[],[f182]) ).
fof(f325,plain,
aElementOf0(szDzizrdt0(xd),xT),
inference(cnf_transformation,[],[f206]) ).
fof(f374,plain,
aSubsetOf0(xO,xS),
inference(cnf_transformation,[],[f150]) ).
fof(f450,plain,
isCountable0(xO),
inference(cnf_transformation,[],[f96]) ).
fof(f509,plain,
sP1(szDzizrdt0(xd),xO),
inference(unit_resulting_resolution,[],[f265,f450,f374,f325]) ).
fof(f575,plain,
aSubsetOf0(sK12(szDzizrdt0(xd),xO),xO),
inference(unit_resulting_resolution,[],[f247,f509]) ).
fof(f598,plain,
xK = sbrdtbr0(sK12(szDzizrdt0(xd),xO)),
inference(unit_resulting_resolution,[],[f246,f509]) ).
fof(f600,plain,
sP0(sK12(szDzizrdt0(xd),xO)),
inference(unit_resulting_resolution,[],[f262,f575,f598]) ).
fof(f620,plain,
szDzizrdt0(xd) = sdtlpdtrp0(xc,sK12(szDzizrdt0(xd),xO)),
inference(unit_resulting_resolution,[],[f251,f600]) ).
fof(f724,plain,
szDzizrdt0(xd) != sdtlpdtrp0(xc,sK12(szDzizrdt0(xd),xO)),
inference(unit_resulting_resolution,[],[f250,f509]) ).
fof(f726,plain,
$false,
inference(forward_subsumption_resolution,[],[f724,f620]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM633+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n004.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % 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 20:51:07 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.82/1.54 % (3867289)Detected formulas, will run a generic FOF schedule.
% 3.82/1.54 % (3867401)dis-21_1_sil=8000:lcm=predicate:random_seed=423518180: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)
% 3.82/1.54 % (3867396)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=1153223385:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.82/1.54 % (3867398)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3917065691:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.82/1.54 % (3867397)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=2405895330:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.82/1.54 % (3867395)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=3994726614:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.82/1.54 % (3867399)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1986275060:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.82/1.54 % (3867401)Instruction limit reached!
% 3.82/1.54 % (3867401)------------------------------
% 3.82/1.54 % (3867401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.82/1.54 % (3867401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/1.54 % (3867401)CaDiCaL version: 2.1.3
% 3.82/1.54 % (3867401)Termination reason: Instruction limit
% 3.82/1.54 % (3867401)Termination phase: Saturation
% 3.82/1.54 % (3867401)Time elapsed: 0.048 s
% 3.82/1.54 % (3867401)Peak memory usage: 90 MB
% 3.82/1.54 % (3867401)Instructions burned: 130 (million)
% 3.82/1.54 % (3867400)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=822416868:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.82/1.54 % (3867398)Instruction limit reached!
% 3.82/1.54 % (3867398)------------------------------
% 3.82/1.54 % (3867398)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.82/1.54 % (3867398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/1.54 % (3867398)CaDiCaL version: 2.1.3
% 3.82/1.54 % (3867398)Termination reason: Instruction limit
% 3.82/1.54 % (3867398)Termination phase: Saturation
% 3.82/1.54 % (3867398)Time elapsed: 0.076 s
% 3.82/1.54 % (3867398)Peak memory usage: 90 MB
% 3.82/1.54 % (3867398)Instructions burned: 110 (million)
% 3.82/1.54 % (3867399)Instruction limit reached!
% 3.82/1.54 % (3867399)------------------------------
% 3.82/1.54 % (3867399)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.82/1.54 % (3867399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/1.54 % (3867399)CaDiCaL version: 2.1.3
% 3.82/1.54 % (3867399)Termination reason: Instruction limit
% 3.82/1.54 % (3867399)Termination phase: Saturation
% 3.82/1.54 % (3867399)Time elapsed: 0.082 s
% 3.82/1.54 % (3867399)Peak memory usage: 89 MB
% 3.82/1.54 % (3867399)Instructions burned: 119 (million)
% 3.82/1.54 % (3867429)lrs+10_1_sil=8000:sp=occurrence:random_seed=97572601:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.82/1.54 % (3867400)Instruction limit reached!
% 3.82/1.54 % (3867400)------------------------------
% 3.82/1.54 % (3867400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.82/1.54 % (3867400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/1.54 % (3867400)CaDiCaL version: 2.1.3
% 3.82/1.54 % (3867400)Termination reason: Instruction limit
% 3.82/1.54 % (3867400)Termination phase: Saturation
% 3.82/1.54 % (3867400)Time elapsed: 0.100 s
% 3.82/1.54 % (3867400)Peak memory usage: 90 MB
% 3.82/1.54 % (3867400)Instructions burned: 139 (million)
% 3.82/1.54 % (3867432)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1837693337:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.82/1.54 % (3867433)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2307749402:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.82/1.54 % (3867429)Instruction limit reached!
% 3.82/1.54 % (3867429)------------------------------
% 3.82/1.54 % (3867429)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.82/1.54 % (3867429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/1.54 % (3867429)CaDiCaL version: 2.1.3
% 3.82/1.54 % (3867429)Termination reason: Instruction limit
% 3.82/1.54 % (3867429)Termination phase: Saturation
% 3.82/1.54 % (3867429)Time elapsed: 0.104 s
% 3.82/1.54 % (3867429)Peak memory usage: 92 MB
% 3.82/1.54 % (3867429)Instructions burned: 286 (million)
% 3.82/1.54 % (3867432)First to succeed.
% 3.82/1.54 % (3867432)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3867289"
% 3.82/1.54 % (3867463)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=1389099739:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 3.82/1.54 % (3867499)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2646405206:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 3.82/1.54 % (3867499)Instruction limit reached!
% 3.82/1.54 % (3867499)------------------------------
% 3.82/1.54 % (3867499)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.82/1.54 % (3867499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/1.54 % (3867499)CaDiCaL version: 2.1.3
% 3.82/1.54 % (3867499)Termination reason: Instruction limit
% 3.82/1.54 % (3867499)Termination phase: Saturation
% 3.82/1.54 % (3867499)Time elapsed: 0.094 s
% 3.82/1.54 % (3867499)Peak memory usage: 91 MB
% 3.82/1.54 % (3867499)Instructions burned: 294 (million)
% 3.82/1.54 % (3867433)Instruction limit reached!
% 3.82/1.54 % (3867433)------------------------------
% 3.82/1.54 % (3867433)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.82/1.54 % (3867433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/1.54 % (3867433)CaDiCaL version: 2.1.3
% 3.82/1.54 % (3867433)Termination reason: Instruction limit
% 3.82/1.54 % (3867433)Termination phase: Saturation
% 3.82/1.54 % (3867433)Time elapsed: 0.232 s
% 3.82/1.54 % (3867433)Peak memory usage: 93 MB
% 3.82/1.54 % (3867433)Instructions burned: 326 (million)
% 3.82/1.54 % (3867463)Instruction limit reached!
% 3.82/1.54 % (3867463)------------------------------
% 3.82/1.54 % (3867463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.82/1.54 % (3867463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/1.54 % (3867463)CaDiCaL version: 2.1.3
% 3.82/1.54 % (3867463)Termination reason: Instruction limit
% 3.82/1.54 % (3867463)Termination phase: Saturation
% 3.82/1.54 % (3867463)Time elapsed: 0.149 s
% 3.82/1.54 % (3867463)Peak memory usage: 92 MB
% 3.82/1.54 % (3867463)Instructions burned: 248 (million)
% 3.82/1.54 % (3867432)Refutation found. Thanks to Tanya!
% 3.82/1.54 % SZS status Theorem for theBenchmark
% 3.82/1.54 % SZS output start Proof for theBenchmark
% See solution above
% 5.32/1.73 % (3867432)------------------------------
% 5.32/1.73 % (3867432)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.32/1.73 % (3867432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.32/1.73 % (3867432)CaDiCaL version: 2.1.3
% 5.32/1.73 % (3867432)Termination reason: Refutation
% 5.32/1.73 % (3867432)Time elapsed: 0.017 s
% 5.32/1.73 % (3867432)Peak memory usage: 89 MB
% 5.32/1.73 % (3867432)Instructions burned: 26 (million)
% 5.32/1.73 % (3867432)------------------------------
% 5.32/1.73 % (3867432)------------------------------
% 5.32/1.73 % (3867289)Success in time 0.667 s
% 5.32/1.73 % Vampire exiting
%------------------------------------------------------------------------------