%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM590+1 : 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 : n013.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 12:15:53 PM UTC 2026
% Result : Theorem 9.32s 2.24s
% Output : Refutation 9.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 20
% Syntax : Number of formulae : 136 ( 20 unt; 9 def)
% Number of atoms : 512 ( 74 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 620 ( 244 ~; 252 |; 92 &)
% ( 23 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 8 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-3 aty)
% Number of variables : 164 ( 0 sgn 151 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(f5,axiom,
! [X0] :
( X0 = slcrc0
<=> ( aSet0(X0)
& ~ ? [X1] : aElementOf0(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefEmp) ).
fof(f9,axiom,
! [X0] :
( ( aSet0(X0)
& isCountable0(X0) )
=> X0 != slcrc0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCountNFin_01) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
fof(f16,axiom,
! [X0,X1] :
( ( aSet0(X0)
& aElement0(X1) )
=> ! [X2] :
( X2 = sdtmndt0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiff) ).
fof(f23,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).
fof(f47,axiom,
! [X0] :
( ( aSubsetOf0(X0,szNzAzT0)
& X0 != slcrc0 )
=> ! [X1] :
( X1 = szmzizndt0(X0)
<=> ( aElementOf0(X1,X0)
& ! [X2] :
( aElementOf0(X2,X0)
=> sdtlseqdt0(X1,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefMin) ).
fof(f82,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3671) ).
fof(f90,axiom,
aElementOf0(xi,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4448) ).
fof(f91,axiom,
( xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))
& xd = sdtlpdtrp0(xC,xi) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4448_02) ).
fof(f92,conjecture,
aSubsetOf0(xY,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f93,negated_conjecture,
~ aSubsetOf0(xY,szNzAzT0),
inference(negated_conjecture,[status(cth)],[f92]) ).
fof(f101,plain,
~ aSubsetOf0(xY,szNzAzT0),
inference(flattening,[],[f93]) ).
fof(f102,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f103,plain,
! [X0] :
( X0 = slcrc0
<=> ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f106,plain,
! [X0] :
( X0 != slcrc0
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f107,plain,
! [X0] :
( X0 != slcrc0
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(flattening,[],[f106]) ).
fof(f108,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f118,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtmndt0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 ) ) ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f119,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtmndt0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 ) ) ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f118]) ).
fof(f161,plain,
! [X0] :
( ! [X1] :
( X1 = szmzizndt0(X0)
<=> ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) ) ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(ennf_transformation,[],[f47]) ).
fof(f162,plain,
! [X0] :
( ! [X1] :
( X1 = szmzizndt0(X0)
<=> ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) ) ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(flattening,[],[f161]) ).
fof(f205,plain,
! [X0] :
( ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X0)) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f220,definition,
! [X2,X0,X1] :
( sP2(X2,X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f221,definition,
! [X1,X0] :
( ! [X2] :
( X2 = sdtmndt0(X0,X1)
<=> sP2(X2,X0,X1) )
| ~ sP3(X1,X0) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f222,plain,
! [X0,X1] :
( sP3(X1,X0)
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(definition_folding,[],[f119,f221,f220]) ).
fof(f223,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f103]) ).
fof(f224,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f223]) ).
fof(f225,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X2] : ~ aElementOf0(X2,X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f224]) ).
fof(f226,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| aElementOf0(sK4(X0),X0) )
& ( ( aSet0(X0)
& ! [X2] : ~ aElementOf0(X2,X0) )
| slcrc0 != X0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X1,sK4(X0))],[f225]) ).
fof(f227,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) ) )
& ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f108]) ).
fof(f228,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) ) )
& ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(flattening,[],[f227]) ).
fof(f229,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) ) )
& ( ( aSet0(X1)
& ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(rectify,[],[f228]) ).
fof(f230,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ( ~ aElementOf0(sK5(X0,X1),X0)
& aElementOf0(sK5(X0,X1),X1) ) )
& ( ( aSet0(X1)
& ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0,X1))],[f229]) ).
fof(f237,plain,
! [X1,X0] :
( ! [X2] :
( ( X2 = sdtmndt0(X0,X1)
| ~ sP2(X2,X0,X1) )
& ( sP2(X2,X0,X1)
| sdtmndt0(X0,X1) != X2 ) )
| ~ sP3(X1,X0) ),
inference(nnf_transformation,[],[f221]) ).
fof(f238,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X1,X0) = X2
| ~ sP2(X2,X1,X0) )
& ( sP2(X2,X1,X0)
| sdtmndt0(X1,X0) != X2 ) )
| ~ sP3(X0,X1) ),
inference(rectify,[],[f237]) ).
fof(f239,plain,
! [X2,X0,X1] :
( ( sP2(X2,X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aElement0(X3)
| ~ aElementOf0(X3,X0)
| X1 = X3
| ~ aElementOf0(X3,X2) )
& ( ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X0)
| X1 = X3 )
& ( ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 )
| ~ aElementOf0(X3,X2) ) ) )
| ~ sP2(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f220]) ).
fof(f240,plain,
! [X2,X0,X1] :
( ( sP2(X2,X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aElement0(X3)
| ~ aElementOf0(X3,X0)
| X1 = X3
| ~ aElementOf0(X3,X2) )
& ( ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X0)
| X1 = X3 )
& ( ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 )
| ~ aElementOf0(X3,X2) ) ) )
| ~ sP2(X2,X0,X1) ) ),
inference(flattening,[],[f239]) ).
fof(f241,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ~ aSet0(X0)
| ? [X3] :
( ( ~ aElement0(X3)
| ~ aElementOf0(X3,X1)
| X2 = X3
| ~ aElementOf0(X3,X0) )
& ( ( aElement0(X3)
& aElementOf0(X3,X1)
& X2 != X3 )
| aElementOf0(X3,X0) ) ) )
& ( ( aSet0(X0)
& ! [X4] :
( ( aElementOf0(X4,X0)
| ~ aElement0(X4)
| ~ aElementOf0(X4,X1)
| X2 = X4 )
& ( ( aElement0(X4)
& aElementOf0(X4,X1)
& X2 != X4 )
| ~ aElementOf0(X4,X0) ) ) )
| ~ sP2(X0,X1,X2) ) ),
inference(rectify,[],[f240]) ).
fof(f242,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ~ aSet0(X0)
| ( ( ~ aElement0(sK7(X0,X1,X2))
| ~ aElementOf0(sK7(X0,X1,X2),X1)
| sK7(X0,X1,X2) = X2
| ~ aElementOf0(sK7(X0,X1,X2),X0) )
& ( ( aElement0(sK7(X0,X1,X2))
& aElementOf0(sK7(X0,X1,X2),X1)
& sK7(X0,X1,X2) != X2 )
| aElementOf0(sK7(X0,X1,X2),X0) ) ) )
& ( ( aSet0(X0)
& ! [X4] :
( ( aElementOf0(X4,X0)
| ~ aElement0(X4)
| ~ aElementOf0(X4,X1)
| X2 = X4 )
& ( ( aElement0(X4)
& aElementOf0(X4,X1)
& X2 != X4 )
| ~ aElementOf0(X4,X0) ) ) )
| ~ sP2(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X3,sK7(X0,X1,X2))],[f241]) ).
fof(f248,plain,
! [X0] :
( ! [X1] :
( ( X1 = szmzizndt0(X0)
| ~ aElementOf0(X1,X0)
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) ) )
& ( ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) ) )
| szmzizndt0(X0) != X1 ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(nnf_transformation,[],[f162]) ).
fof(f249,plain,
! [X0] :
( ! [X1] :
( ( X1 = szmzizndt0(X0)
| ~ aElementOf0(X1,X0)
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) ) )
& ( ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) ) )
| szmzizndt0(X0) != X1 ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(flattening,[],[f248]) ).
fof(f250,plain,
! [X0] :
( ! [X1] :
( ( X1 = szmzizndt0(X0)
| ~ aElementOf0(X1,X0)
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) ) )
& ( ( aElementOf0(X1,X0)
& ! [X3] :
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X3,X0) ) )
| szmzizndt0(X0) != X1 ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(rectify,[],[f249]) ).
fof(f251,plain,
! [X0] :
( ! [X1] :
( ( X1 = szmzizndt0(X0)
| ~ aElementOf0(X1,X0)
| ( ~ sdtlseqdt0(X1,sK10(X0,X1))
& aElementOf0(sK10(X0,X1),X0) ) )
& ( ( aElementOf0(X1,X0)
& ! [X3] :
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X3,X0) ) )
| szmzizndt0(X0) != X1 ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X2,sK10(X0,X1))],[f250]) ).
fof(f283,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f285,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f226]) ).
fof(f289,plain,
! [X0] :
( slcrc0 != X0
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f290,plain,
! [X3,X0,X1] :
( ~ aSubsetOf0(X1,X0)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f230]) ).
fof(f291,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f230]) ).
fof(f292,plain,
! [X0,X1] :
( aElementOf0(sK5(X0,X1),X1)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f230]) ).
fof(f293,plain,
! [X0,X1] :
( ~ aElementOf0(sK5(X0,X1),X0)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f230]) ).
fof(f310,plain,
! [X2,X0,X1] :
( sP2(X2,X1,X0)
| sdtmndt0(X1,X0) != X2
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f238]) ).
fof(f313,plain,
! [X2,X0,X1,X4] :
( ~ sP2(X0,X1,X2)
| ~ aElementOf0(X4,X0)
| aElementOf0(X4,X1) ),
inference(cnf_transformation,[],[f242]) ).
fof(f316,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| aSet0(X0) ),
inference(cnf_transformation,[],[f242]) ).
fof(f321,plain,
! [X0,X1] :
( sP3(X1,X0)
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f222]) ).
fof(f329,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f358,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzizndt0(X0) != X1
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(cnf_transformation,[],[f251]) ).
fof(f447,plain,
! [X0] :
( isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f448,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f460,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f90]) ).
fof(f462,plain,
xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),
inference(cnf_transformation,[],[f91]) ).
fof(f463,plain,
~ aSubsetOf0(xY,szNzAzT0),
inference(cnf_transformation,[],[f101]) ).
fof(f464,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f285]) ).
fof(f466,plain,
( ~ aSet0(slcrc0)
| ~ isCountable0(slcrc0) ),
inference(equality_resolution,[],[f289]) ).
fof(f469,plain,
! [X0,X1] :
( sP2(sdtmndt0(X1,X0),X1,X0)
| ~ sP3(X0,X1) ),
inference(equality_resolution,[],[f310]) ).
fof(f472,plain,
! [X0] :
( aElementOf0(szmzizndt0(X0),X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(equality_resolution,[],[f358]) ).
fof(f505,definition,
( spl25_1
<=> aSet0(slcrc0) ),
introduced(definition,[new_symbols(definition,[spl25_1])],[avatar_definition]) ).
fof(f514,definition,
( spl25_3
<=> isCountable0(slcrc0) ),
introduced(definition,[new_symbols(definition,[spl25_3])],[avatar_definition]) ).
fof(f516,plain,
( ~ isCountable0(slcrc0)
| spl25_3 ),
inference(avatar_component_clause,[],[f514]) ).
fof(f517,plain,
( ~ spl25_3
| ~ spl25_1 ),
inference(avatar_split_clause,[],[f466,f505,f514]) ).
fof(f518,plain,
spl25_1,
inference(avatar_split_clause,[],[f464,f505]) ).
fof(f521,plain,
( sP2(xY,sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))
| ~ sP3(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
inference(superposition,[],[f469,f462]) ).
fof(f523,definition,
( spl25_4
<=> sP3(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
introduced(definition,[new_symbols(definition,[spl25_4])],[avatar_definition]) ).
fof(f524,plain,
( sP3(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
| ~ spl25_4 ),
inference(avatar_component_clause,[],[f523]) ).
fof(f525,plain,
( ~ sP3(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
| spl25_4 ),
inference(avatar_component_clause,[],[f523]) ).
fof(f527,definition,
( spl25_5
<=> sP2(xY,sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))) ),
introduced(definition,[new_symbols(definition,[spl25_5])],[avatar_definition]) ).
fof(f529,plain,
( sP2(xY,sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))
| ~ spl25_5 ),
inference(avatar_component_clause,[],[f527]) ).
fof(f530,plain,
( ~ spl25_4
| spl25_5 ),
inference(avatar_split_clause,[],[f521,f527,f523]) ).
fof(f533,plain,
! [X0] :
( aSet0(sdtlpdtrp0(xN,X0))
| ~ aSet0(szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f291,f448]) ).
fof(f538,plain,
! [X0] :
( aSet0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f533,f329]) ).
fof(f540,plain,
! [X0,X1] :
( aSet0(sdtmndt0(X0,X1))
| ~ sP3(X1,X0) ),
inference(resolution,[],[f316,f469]) ).
fof(f541,plain,
( aSet0(xY)
| ~ sP3(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
inference(superposition,[],[f540,f462]) ).
fof(f542,plain,
! [X0,X1] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,X1))
| aElementOf0(X0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(resolution,[],[f290,f448]) ).
fof(f549,plain,
! [X0,X1] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,X1))
| aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f542,f329]) ).
fof(f577,plain,
( ~ aSet0(sdtlpdtrp0(xN,xi))
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
| spl25_4 ),
inference(resolution,[],[f321,f525]) ).
fof(f579,definition,
( spl25_6
<=> aElement0(szmzizndt0(sdtlpdtrp0(xN,xi))) ),
introduced(definition,[new_symbols(definition,[spl25_6])],[avatar_definition]) ).
fof(f581,plain,
( ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
| spl25_6 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f583,definition,
( spl25_7
<=> aSet0(sdtlpdtrp0(xN,xi)) ),
introduced(definition,[new_symbols(definition,[spl25_7])],[avatar_definition]) ).
fof(f585,plain,
( ~ aSet0(sdtlpdtrp0(xN,xi))
| spl25_7 ),
inference(avatar_component_clause,[],[f583]) ).
fof(f586,plain,
( ~ spl25_6
| ~ spl25_7
| spl25_4 ),
inference(avatar_split_clause,[],[f577,f523,f583,f579]) ).
fof(f622,definition,
( spl25_8
<=> aSet0(xY) ),
introduced(definition,[new_symbols(definition,[spl25_8])],[avatar_definition]) ).
fof(f623,plain,
( aSet0(xY)
| ~ spl25_8 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f624,plain,
( ~ aSet0(xY)
| spl25_8 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f714,plain,
! [X0] :
( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| slcrc0 = sdtlpdtrp0(xN,X0)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f472,f549]) ).
fof(f717,plain,
! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),szNzAzT0)
| slcrc0 = sdtlpdtrp0(xN,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f714,f448]) ).
fof(f752,plain,
! [X0] :
( slcrc0 = sdtlpdtrp0(xN,X0)
| ~ aElementOf0(X0,szNzAzT0)
| aElement0(szmzizndt0(sdtlpdtrp0(xN,X0)))
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f717,f283]) ).
fof(f754,plain,
! [X0] :
( aElement0(szmzizndt0(sdtlpdtrp0(xN,X0)))
| ~ aElementOf0(X0,szNzAzT0)
| slcrc0 = sdtlpdtrp0(xN,X0) ),
inference(forward_subsumption_resolution,[],[f752,f329]) ).
fof(f839,plain,
( ~ aElementOf0(xi,szNzAzT0)
| slcrc0 = sdtlpdtrp0(xN,xi)
| spl25_6 ),
inference(resolution,[],[f754,f581]) ).
fof(f842,plain,
( slcrc0 = sdtlpdtrp0(xN,xi)
| spl25_6 ),
inference(forward_subsumption_resolution,[],[f839,f460]) ).
fof(f1046,plain,
( isCountable0(slcrc0)
| ~ aElementOf0(xi,szNzAzT0)
| spl25_6 ),
inference(superposition,[],[f447,f842]) ).
fof(f1067,plain,
( ~ aElementOf0(xi,szNzAzT0)
| spl25_3
| spl25_6 ),
inference(forward_subsumption_resolution,[],[f1046,f516]) ).
fof(f1069,plain,
( $false
| spl25_3
| spl25_6 ),
inference(forward_subsumption_resolution,[],[f1067,f460]) ).
fof(f1070,plain,
( spl25_3
| spl25_6 ),
inference(avatar_contradiction_clause,[],[f1069]) ).
fof(f1078,plain,
( ~ aElementOf0(xi,szNzAzT0)
| spl25_7 ),
inference(resolution,[],[f585,f538]) ).
fof(f1079,plain,
( $false
| spl25_7 ),
inference(forward_subsumption_resolution,[],[f1078,f460]) ).
fof(f1080,plain,
spl25_7,
inference(avatar_contradiction_clause,[],[f1079]) ).
fof(f1083,plain,
( ~ sP3(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
| spl25_8 ),
inference(forward_subsumption_resolution,[],[f541,f624]) ).
fof(f1087,plain,
( $false
| ~ spl25_4
| spl25_8 ),
inference(forward_subsumption_resolution,[],[f1083,f524]) ).
fof(f1088,plain,
( ~ spl25_4
| spl25_8 ),
inference(avatar_contradiction_clause,[],[f1087]) ).
fof(f1256,plain,
( ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X0,xY) )
| ~ spl25_5 ),
inference(resolution,[],[f313,f529]) ).
fof(f1258,plain,
( ! [X0] :
( ~ aElementOf0(X0,xY)
| aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(xi,szNzAzT0) )
| ~ spl25_5 ),
inference(resolution,[],[f1256,f549]) ).
fof(f1261,plain,
( ! [X0] :
( ~ aElementOf0(X0,xY)
| aElementOf0(X0,szNzAzT0) )
| ~ spl25_5 ),
inference(forward_subsumption_resolution,[],[f1258,f460]) ).
fof(f1264,plain,
( ! [X0] :
( aElementOf0(sK5(X0,xY),szNzAzT0)
| ~ aSet0(xY)
| aSubsetOf0(xY,X0)
| ~ aSet0(X0) )
| ~ spl25_5 ),
inference(resolution,[],[f1261,f292]) ).
fof(f1265,plain,
( ! [X0] :
( aElementOf0(sK5(X0,xY),szNzAzT0)
| aSubsetOf0(xY,X0)
| ~ aSet0(X0) )
| ~ spl25_5
| ~ spl25_8 ),
inference(forward_subsumption_resolution,[],[f1264,f623]) ).
fof(f1266,plain,
( aSubsetOf0(xY,szNzAzT0)
| ~ aSet0(szNzAzT0)
| ~ aSet0(xY)
| aSubsetOf0(xY,szNzAzT0)
| ~ aSet0(szNzAzT0)
| ~ spl25_5
| ~ spl25_8 ),
inference(resolution,[],[f1265,f293]) ).
fof(f1270,plain,
( aSubsetOf0(xY,szNzAzT0)
| ~ aSet0(szNzAzT0)
| ~ aSet0(xY)
| ~ spl25_5
| ~ spl25_8 ),
inference(duplicate_literal_removal,[],[f1266]) ).
fof(f1272,plain,
( ~ aSet0(szNzAzT0)
| ~ aSet0(xY)
| ~ spl25_5
| ~ spl25_8 ),
inference(forward_subsumption_resolution,[],[f1270,f463]) ).
fof(f1273,plain,
( ~ aSet0(xY)
| ~ spl25_5
| ~ spl25_8 ),
inference(forward_subsumption_resolution,[],[f1272,f329]) ).
fof(f1274,plain,
( $false
| ~ spl25_5
| ~ spl25_8 ),
inference(forward_subsumption_resolution,[],[f1273,f623]) ).
fof(f1275,plain,
( ~ spl25_5
| ~ spl25_8 ),
inference(avatar_contradiction_clause,[],[f1274]) ).
cnf(s2,plain,
( ~ spl25_1
| ~ spl25_3 ),
inference(sat_conversion,[],[f517]) ).
cnf(s3,plain,
spl25_1,
inference(sat_conversion,[],[f518]) ).
cnf(s4,plain,
( ~ spl25_4
| spl25_5 ),
inference(sat_conversion,[],[f530]) ).
cnf(s5,plain,
( spl25_4
| ~ spl25_6
| ~ spl25_7 ),
inference(sat_conversion,[],[f586]) ).
cnf(s30,plain,
( spl25_3
| spl25_6 ),
inference(sat_conversion,[],[f1070]) ).
cnf(s31,plain,
spl25_7,
inference(sat_conversion,[],[f1080]) ).
cnf(s32,plain,
( ~ spl25_4
| spl25_8 ),
inference(sat_conversion,[],[f1088]) ).
cnf(s45,plain,
( ~ spl25_5
| ~ spl25_8 ),
inference(sat_conversion,[],[f1275]) ).
cnf(s49,plain,
( spl25_4
| ~ spl25_6 ),
inference(rat,[],[s5,s31]) ).
cnf(s50,plain,
~ spl25_3,
inference(rat,[],[s2,s3]) ).
cnf(s51,plain,
spl25_6,
inference(rat,[],[s30,s50]) ).
cnf(s54,plain,
spl25_4,
inference(rat,[],[s49,s51]) ).
cnf(s56,plain,
spl25_8,
inference(rat,[],[s32,s54]) ).
cnf(s57,plain,
spl25_5,
inference(rat,[],[s4,s54]) ).
cnf(s58,plain,
$false,
inference(rat,[],[s45,s56,s57]) ).
fof(f1276,plain,
$false,
inference(avatar_sat_refutation,[],[s58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM590+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n013.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 20:37:52 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.42 Running first-order theorem proving
% 0.14/0.42 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
% 9.32/2.23 % (530280)Detected formulas, will run a generic FOF schedule.
% 9.32/2.23 % (530289)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=907365893:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.32/2.23 % (530289)Instruction limit reached!
% 9.32/2.23 % (530289)------------------------------
% 9.32/2.23 % (530289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.32/2.23 % (530289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.32/2.23 % (530289)CaDiCaL version: 2.1.3
% 9.32/2.23 % (530289)Termination reason: Instruction limit
% 9.32/2.23 % (530289)Termination phase: Saturation
% 9.32/2.23 % (530289)Time elapsed: 0.029 s
% 9.32/2.23 % (530289)Peak memory usage: 88 MB
% 9.32/2.23 % (530289)Instructions burned: 124 (million)
% 9.32/2.23 % (530287)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=1679765121:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.32/2.23 % (530285)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=597705188:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.32/2.23 % (530286)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=3400799488:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.32/2.23 % (530290)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=667211094:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.32/2.23 % (530288)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1845360541:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.32/2.23 % (530291)dis-21_1_sil=8000:lcm=predicate:random_seed=2232948713: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)
% 9.32/2.23 % (530291)Instruction limit reached!
% 9.32/2.23 % (530291)------------------------------
% 9.32/2.23 % (530291)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.32/2.23 % (530291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.32/2.23 % (530291)CaDiCaL version: 2.1.3
% 9.32/2.23 % (530291)Termination reason: Instruction limit
% 9.32/2.23 % (530291)Termination phase: Saturation
% 9.32/2.23 % (530291)Time elapsed: 0.063 s
% 9.32/2.23 % (530291)Peak memory usage: 89 MB
% 9.32/2.23 % (530291)Instructions burned: 131 (million)
% 9.32/2.23 % (530288)Instruction limit reached!
% 9.32/2.23 % (530288)------------------------------
% 9.32/2.23 % (530288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.32/2.23 % (530288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.32/2.23 % (530288)CaDiCaL version: 2.1.3
% 9.32/2.23 % (530288)Termination reason: Instruction limit
% 9.32/2.23 % (530288)Termination phase: Saturation
% 9.32/2.23 % (530288)Time elapsed: 0.064 s
% 9.32/2.23 % (530288)Peak memory usage: 89 MB
% 9.32/2.23 % (530288)Instructions burned: 110 (million)
% 9.32/2.23 % (530290)Instruction limit reached!
% 9.32/2.23 % (530290)------------------------------
% 9.32/2.23 % (530290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.32/2.23 % (530290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.32/2.23 % (530290)CaDiCaL version: 2.1.3
% 9.32/2.23 % (530290)Termination reason: Instruction limit
% 9.32/2.23 % (530290)Termination phase: Saturation
% 9.32/2.23 % (530290)Time elapsed: 0.081 s
% 9.32/2.23 % (530290)Peak memory usage: 89 MB
% 9.32/2.23 % (530290)Instructions burned: 140 (million)
% 9.32/2.23 % (530293)lrs+10_1_sil=8000:sp=occurrence:random_seed=3072027650:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 9.32/2.23 % (530293)Instruction limit reached!
% 9.32/2.23 % (530293)------------------------------
% 9.32/2.23 % (530293)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.32/2.23 % (530293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.32/2.23 % (530293)CaDiCaL version: 2.1.3
% 9.32/2.23 % (530293)Termination reason: Instruction limit
% 9.32/2.23 % (530293)Termination phase: Saturation
% 9.32/2.23 % (530293)Time elapsed: 0.099 s
% 9.32/2.23 % (530293)Peak memory usage: 92 MB
% 9.32/2.23 % (530293)Instructions burned: 286 (million)
% 9.32/2.23 % (530300)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2504402155:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 9.32/2.23 % (530301)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4088821030:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 9.32/2.23 % (530300)Refutation not found, incomplete strategy
% 9.32/2.23 % (530300)------------------------------
% 9.32/2.23 % (530300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.32/2.23 % (530300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.32/2.23 % (530300)CaDiCaL version: 2.1.3
% 9.32/2.23 % (530300)Termination reason: Refutation not found, incomplete strategy
% 9.32/2.23 % (530300)Time elapsed: 0.002 s
% 9.32/2.23 % (530300)Peak memory usage: 88 MB
% 9.32/2.23 % (530300)Instructions burned: 2 (million)
% 9.32/2.23 % (530302)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=432153025:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 9.32/2.23 % (530304)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=815368050:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 9.32/2.23 % (530302)Instruction limit reached!
% 9.32/2.23 % (530302)------------------------------
% 9.32/2.23 % (530302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.32/2.23 % (530302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.32/2.23 % (530302)CaDiCaL version: 2.1.3
% 9.32/2.23 % (530302)Termination reason: Instruction limit
% 9.32/2.23 % (530302)Termination phase: Saturation
% 9.32/2.23 % (530302)Time elapsed: 0.148 s
% 9.32/2.23 % (530302)Peak memory usage: 92 MB
% 9.32/2.23 % (530302)Instructions burned: 249 (million)
% 9.32/2.23 % (530304)Instruction limit reached!
% 9.32/2.23 % (530304)------------------------------
% 9.32/2.23 % (530304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.32/2.23 % (530304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.32/2.23 % (530304)CaDiCaL version: 2.1.3
% 9.32/2.23 % (530304)Termination reason: Instruction limit
% 9.32/2.23 % (530304)Termination phase: Saturation
% 9.32/2.23 % (530304)Time elapsed: 0.098 s
% 9.32/2.23 % (530304)Peak memory usage: 90 MB
% 9.32/2.23 % (530304)Instructions burned: 297 (million)
% 9.32/2.23 % (530301)Instruction limit reached!
% 9.32/2.23 % (530301)------------------------------
% 9.32/2.23 % (530301)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.32/2.23 % (530301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.32/2.23 % (530301)CaDiCaL version: 2.1.3
% 9.32/2.23 % (530301)Termination reason: Instruction limit
% 9.32/2.23 % (530301)Termination phase: Saturation
% 9.32/2.23 % (530301)Time elapsed: 0.228 s
% 9.32/2.23 % (530301)Peak memory usage: 92 MB
% 9.32/2.23 % (530301)Instructions burned: 325 (million)
% 9.32/2.23 % (530300)------------------------------
% 9.32/2.23 % (530300)------------------------------
% 9.32/2.23 % (530310)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=405771471:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 9.32/2.23 % (530309)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2451035239:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 9.32/2.23 % (530310)Instruction limit reached!
% 9.32/2.23 % (530310)------------------------------
% 9.32/2.23 % (530310)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.32/2.23 % (530310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.32/2.23 % (530310)CaDiCaL version: 2.1.3
% 9.32/2.23 % (530310)Termination reason: Instruction limit
% 9.32/2.23 % (530310)Termination phase: Saturation
% 9.32/2.23 % (530310)Time elapsed: 0.042 s
% 9.32/2.23 % (530310)Peak memory usage: 91 MB
% 9.32/2.23 % (530310)Instructions burned: 115 (million)
% 9.32/2.23 % (530311)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3663339727:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 9.32/2.23 % (530312)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1930875599:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 9.32/2.23 % (530311)Instruction limit reached!
% 9.32/2.23 % (530311)------------------------------
% 9.32/2.23 % (530311)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.32/2.23 % (530311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.32/2.23 % (530311)CaDiCaL version: 2.1.3
% 9.32/2.23 % (530311)Termination reason: Instruction limit
% 9.32/2.23 % (530311)Termination phase: Saturation
% 9.32/2.23 % (530311)Time elapsed: 0.069 s
% 9.32/2.23 % (530311)Peak memory usage: 89 MB
% 9.32/2.23 % (530311)Instructions burned: 128 (million)
% 9.32/2.23 % (530312)Instruction limit reached!
% 9.32/2.23 % (530312)------------------------------
% 9.32/2.23 % (530312)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.32/2.23 % (530312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.32/2.23 % (530312)CaDiCaL version: 2.1.3
% 9.32/2.23 % (530312)Termination reason: Instruction limit
% 9.32/2.23 % (530312)Termination phase: Saturation
% 9.32/2.23 % (530312)Time elapsed: 0.069 s
% 9.32/2.23 % (530312)Peak memory usage: 89 MB
% 9.32/2.23 % (530312)Instructions burned: 115 (million)
% 9.32/2.23 % (530315)lrs+10_1_sil=8000:sp=occurrence:random_seed=2234578592:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 9.32/2.23 % (530285)First to succeed.
% 9.32/2.23 % (530285)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-530280"
% 9.32/2.24 % (530318)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=444972732:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 9.32/2.24 % (530319)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=318849971:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 9.32/2.24 % (530318)Instruction limit reached!
% 9.32/2.24 % (530318)------------------------------
% 9.32/2.24 % (530318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.32/2.24 % (530318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.32/2.24 % (530318)CaDiCaL version: 2.1.3
% 9.32/2.24 % (530318)Termination reason: Instruction limit
% 9.32/2.24 % (530318)Termination phase: Saturation
% 9.32/2.24 % (530318)Time elapsed: 0.256 s
% 9.32/2.24 % (530318)Peak memory usage: 91 MB
% 9.32/2.24 % (530318)Instructions burned: 437 (million)
% 9.32/2.24 % (530315)Instruction limit reached!
% 9.32/2.24 % (530315)------------------------------
% 9.32/2.24 % (530315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.32/2.24 % (530315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.32/2.24 % (530315)CaDiCaL version: 2.1.3
% 9.32/2.24 % (530315)Termination reason: Instruction limit
% 9.32/2.24 % (530315)Termination phase: Saturation
% 9.32/2.24 % (530315)Time elapsed: 0.300 s
% 9.32/2.24 % (530315)Peak memory usage: 98 MB
% 9.32/2.24 % (530315)Instructions burned: 909 (million)
% 9.32/2.24 % (530285)Refutation found. Thanks to Tanya!
% 9.32/2.24 % SZS status Theorem for theBenchmark
% 9.32/2.24 % SZS output start Proof for theBenchmark
% See solution above
% 9.90/2.42 % (530285)------------------------------
% 9.90/2.42 % (530285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.90/2.42 % (530285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.90/2.42 % (530285)CaDiCaL version: 2.1.3
% 9.90/2.42 % (530285)Termination reason: Refutation
% 9.90/2.42 % (530285)Time elapsed: 0.817 s
% 9.90/2.42 % (530285)Peak memory usage: 130 MB
% 9.90/2.42 % (530285)Instructions burned: 1075 (million)
% 9.90/2.42 % (530285)------------------------------
% 9.90/2.42 % (530285)------------------------------
% 9.90/2.42 % (530280)Success in time 1.373 s
% 9.90/2.42 % Vampire exiting
%------------------------------------------------------------------------------