%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM545+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:24:45 PM UTC 2026
% Result : Theorem 0.15s 0.46s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 11
% Syntax : Number of formulae : 67 ( 10 unt; 5 def)
% Number of atoms : 294 ( 20 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 341 ( 114 ~; 88 |; 110 &)
% ( 15 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 6 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-1 aty)
% Number of variables : 79 ( 0 sgn 65 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] :
( X0 = slcrc0
<=> ( aSet0(X0)
& ~ ? [X1] : aElementOf0(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
fof(f24,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNum) ).
fof(f25,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
& szszuzczcdt0(X0) != sz00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNum) ).
fof(f55,axiom,
( aSet0(xS)
& ! [X0] :
( aElementOf0(X0,xS)
=> aElementOf0(X0,szNzAzT0) )
& aSubsetOf0(xS,szNzAzT0)
& isFinite0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1986) ).
fof(f56,axiom,
( ~ ( ~ ? [X0] : aElementOf0(X0,xS)
& xS = slcrc0 )
=> ( aElementOf0(szmzazxdt0(xS),xS)
& ! [X0] :
( aElementOf0(X0,xS)
=> sdtlseqdt0(X0,szmzazxdt0(xS)) )
& aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [X0] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
<=> ( aElementOf0(X0,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(szmzazxdt0(xS))) ) )
& ! [X0] :
( aElementOf0(X0,xS)
=> aElementOf0(X0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
& aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2035) ).
fof(f57,conjecture,
? [X0] :
( aElementOf0(X0,szNzAzT0)
& ( ( aSet0(slbdtrb0(X0))
& ! [X1] :
( aElementOf0(X1,slbdtrb0(X0))
<=> ( aElementOf0(X1,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X1),X0) ) ) )
=> ( ! [X1] :
( aElementOf0(X1,xS)
=> aElementOf0(X1,slbdtrb0(X0)) )
| aSubsetOf0(xS,slbdtrb0(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f58,negated_conjecture,
~ ? [X0] :
( aElementOf0(X0,szNzAzT0)
& ( ( aSet0(slbdtrb0(X0))
& ! [X1] :
( aElementOf0(X1,slbdtrb0(X0))
<=> ( aElementOf0(X1,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X1),X0) ) ) )
=> ( ! [X1] :
( aElementOf0(X1,xS)
=> aElementOf0(X1,slbdtrb0(X0)) )
| aSubsetOf0(xS,slbdtrb0(X0)) ) ) ),
inference(negated_conjecture,[status(cth)],[f57]) ).
fof(f65,plain,
( ~ ( ~ ? [X0] : aElementOf0(X0,xS)
& xS = slcrc0 )
=> ( aElementOf0(szmzazxdt0(xS),xS)
& ! [X1] :
( aElementOf0(X1,xS)
=> sdtlseqdt0(X1,szmzazxdt0(xS)) )
& aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [X2] :
( aElementOf0(X2,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
<=> ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),szszuzczcdt0(szmzazxdt0(xS))) ) )
& ! [X3] :
( aElementOf0(X3,xS)
=> aElementOf0(X3,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
& aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ) ),
inference(rectify,[],[f56]) ).
fof(f66,plain,
~ ? [X0] :
( aElementOf0(X0,szNzAzT0)
& ( ( aSet0(slbdtrb0(X0))
& ! [X1] :
( aElementOf0(X1,slbdtrb0(X0))
<=> ( aElementOf0(X1,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X1),X0) ) ) )
=> ( ! [X2] :
( aElementOf0(X2,xS)
=> aElementOf0(X2,slbdtrb0(X0)) )
| aSubsetOf0(xS,slbdtrb0(X0)) ) ) ),
inference(rectify,[],[f58]) ).
fof(f69,plain,
! [X0] :
( X0 = slcrc0
<=> ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f97,plain,
! [X0] :
( ( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
& szszuzczcdt0(X0) != sz00 )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f138,plain,
( aSet0(xS)
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) )
& aSubsetOf0(xS,szNzAzT0)
& isFinite0(xS) ),
inference(ennf_transformation,[],[f55]) ).
fof(f139,plain,
( ( aElementOf0(szmzazxdt0(xS),xS)
& ! [X1] :
( sdtlseqdt0(X1,szmzazxdt0(xS))
| ~ aElementOf0(X1,xS) )
& aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [X2] :
( aElementOf0(X2,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
<=> ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),szszuzczcdt0(szmzazxdt0(xS))) ) )
& ! [X3] :
( aElementOf0(X3,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ aElementOf0(X3,xS) )
& aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
| ( ! [X0] : ~ aElementOf0(X0,xS)
& xS = slcrc0 ) ),
inference(ennf_transformation,[],[f65]) ).
fof(f140,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ( ? [X2] :
( ~ aElementOf0(X2,slbdtrb0(X0))
& aElementOf0(X2,xS) )
& ~ aSubsetOf0(xS,slbdtrb0(X0))
& aSet0(slbdtrb0(X0))
& ! [X1] :
( aElementOf0(X1,slbdtrb0(X0))
<=> ( aElementOf0(X1,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X1),X0) ) ) ) ),
inference(ennf_transformation,[],[f66]) ).
fof(f141,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ( ? [X2] :
( ~ aElementOf0(X2,slbdtrb0(X0))
& aElementOf0(X2,xS) )
& ~ aSubsetOf0(xS,slbdtrb0(X0))
& aSet0(slbdtrb0(X0))
& ! [X1] :
( aElementOf0(X1,slbdtrb0(X0))
<=> ( aElementOf0(X1,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X1),X0) ) ) ) ),
inference(flattening,[],[f140]) ).
fof(f148,definition,
( ( aElementOf0(szmzazxdt0(xS),xS)
& ! [X1] :
( sdtlseqdt0(X1,szmzazxdt0(xS))
| ~ aElementOf0(X1,xS) )
& aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [X2] :
( aElementOf0(X2,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
<=> ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),szszuzczcdt0(szmzazxdt0(xS))) ) )
& ! [X3] :
( aElementOf0(X3,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ aElementOf0(X3,xS) )
& aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
| ~ sP4 ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f149,plain,
( sP4
| ( ! [X0] : ~ aElementOf0(X0,xS)
& xS = slcrc0 ) ),
inference(definition_folding,[],[f139,f148]) ).
fof(f150,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f69]) ).
fof(f151,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f150]) ).
fof(f152,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X2] : ~ aElementOf0(X2,X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f151]) ).
fof(f153,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| aElementOf0(sK5(X0),X0) )
& ( ( aSet0(X0)
& ! [X2] : ~ aElementOf0(X2,X0) )
| slcrc0 != X0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X1,sK5(X0))],[f152]) ).
fof(f190,plain,
( ( aElementOf0(szmzazxdt0(xS),xS)
& ! [X1] :
( sdtlseqdt0(X1,szmzazxdt0(xS))
| ~ aElementOf0(X1,xS) )
& aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [X2] :
( ( aElementOf0(X2,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),szszuzczcdt0(szmzazxdt0(xS))) )
& ( ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),szszuzczcdt0(szmzazxdt0(xS))) )
| ~ aElementOf0(X2,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ) )
& ! [X3] :
( aElementOf0(X3,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ aElementOf0(X3,xS) )
& aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
| ~ sP4 ),
inference(nnf_transformation,[],[f148]) ).
fof(f191,plain,
( ( aElementOf0(szmzazxdt0(xS),xS)
& ! [X1] :
( sdtlseqdt0(X1,szmzazxdt0(xS))
| ~ aElementOf0(X1,xS) )
& aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [X2] :
( ( aElementOf0(X2,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),szszuzczcdt0(szmzazxdt0(xS))) )
& ( ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),szszuzczcdt0(szmzazxdt0(xS))) )
| ~ aElementOf0(X2,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ) )
& ! [X3] :
( aElementOf0(X3,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ aElementOf0(X3,xS) )
& aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
| ~ sP4 ),
inference(flattening,[],[f190]) ).
fof(f192,plain,
( ( aElementOf0(szmzazxdt0(xS),xS)
& ! [X0] :
( sdtlseqdt0(X0,szmzazxdt0(xS))
| ~ aElementOf0(X0,xS) )
& aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [X1] :
( ( aElementOf0(X1,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(szmzazxdt0(xS))) )
& ( ( aElementOf0(X1,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(szmzazxdt0(xS))) )
| ~ aElementOf0(X1,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ) )
& ! [X2] :
( aElementOf0(X2,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ aElementOf0(X2,xS) )
& aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
| ~ sP4 ),
inference(rectify,[],[f191]) ).
fof(f193,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ( ? [X2] :
( ~ aElementOf0(X2,slbdtrb0(X0))
& aElementOf0(X2,xS) )
& ~ aSubsetOf0(xS,slbdtrb0(X0))
& aSet0(slbdtrb0(X0))
& ! [X1] :
( ( aElementOf0(X1,slbdtrb0(X0))
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),X0) )
& ( ( aElementOf0(X1,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X1),X0) )
| ~ aElementOf0(X1,slbdtrb0(X0)) ) ) ) ),
inference(nnf_transformation,[],[f141]) ).
fof(f194,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ( ? [X2] :
( ~ aElementOf0(X2,slbdtrb0(X0))
& aElementOf0(X2,xS) )
& ~ aSubsetOf0(xS,slbdtrb0(X0))
& aSet0(slbdtrb0(X0))
& ! [X1] :
( ( aElementOf0(X1,slbdtrb0(X0))
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),X0) )
& ( ( aElementOf0(X1,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X1),X0) )
| ~ aElementOf0(X1,slbdtrb0(X0)) ) ) ) ),
inference(flattening,[],[f193]) ).
fof(f195,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ( ? [X1] :
( ~ aElementOf0(X1,slbdtrb0(X0))
& aElementOf0(X1,xS) )
& ~ aSubsetOf0(xS,slbdtrb0(X0))
& aSet0(slbdtrb0(X0))
& ! [X2] :
( ( aElementOf0(X2,slbdtrb0(X0))
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0) )
& ( ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),X0) )
| ~ aElementOf0(X2,slbdtrb0(X0)) ) ) ) ),
inference(rectify,[],[f194]) ).
fof(f196,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ( ~ aElementOf0(sK14(X0),slbdtrb0(X0))
& aElementOf0(sK14(X0),xS)
& ~ aSubsetOf0(xS,slbdtrb0(X0))
& aSet0(slbdtrb0(X0))
& ! [X2] :
( ( aElementOf0(X2,slbdtrb0(X0))
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0) )
& ( ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),X0) )
| ~ aElementOf0(X2,slbdtrb0(X0)) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X1,sK14(X0))],[f195]) ).
fof(f198,plain,
! [X2,X0] :
( ~ aElementOf0(X2,X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f153]) ).
fof(f244,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f24]) ).
fof(f246,plain,
! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f295,plain,
! [X0] :
( ~ aElementOf0(X0,xS)
| aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f297,plain,
( aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ sP4 ),
inference(cnf_transformation,[],[f192]) ).
fof(f304,plain,
( aElementOf0(szmzazxdt0(xS),xS)
| ~ sP4 ),
inference(cnf_transformation,[],[f192]) ).
fof(f305,plain,
( sP4
| slcrc0 = xS ),
inference(cnf_transformation,[],[f149]) ).
fof(f311,plain,
! [X0] :
( ~ aSubsetOf0(xS,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f196]) ).
fof(f312,plain,
! [X0] :
( aElementOf0(sK14(X0),xS)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f196]) ).
fof(f315,plain,
! [X2] : ~ aElementOf0(X2,slcrc0),
inference(equality_resolution,[],[f198]) ).
fof(f333,definition,
( spl15_1
<=> slcrc0 = xS ),
introduced(definition,[new_symbols(definition,[spl15_1])],[avatar_definition]) ).
fof(f335,plain,
( slcrc0 = xS
| ~ spl15_1 ),
inference(avatar_component_clause,[],[f333]) ).
fof(f337,definition,
( spl15_2
<=> sP4 ),
introduced(definition,[new_symbols(definition,[spl15_2])],[avatar_definition]) ).
fof(f340,plain,
( spl15_1
| spl15_2 ),
inference(avatar_split_clause,[],[f305,f337,f333]) ).
fof(f346,definition,
( spl15_4
<=> aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
introduced(definition,[new_symbols(definition,[spl15_4])],[avatar_definition]) ).
fof(f348,plain,
( aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ spl15_4 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f349,plain,
( ~ spl15_2
| spl15_4 ),
inference(avatar_split_clause,[],[f297,f346,f337]) ).
fof(f376,definition,
( spl15_11
<=> aElementOf0(szmzazxdt0(xS),xS) ),
introduced(definition,[new_symbols(definition,[spl15_11])],[avatar_definition]) ).
fof(f378,plain,
( aElementOf0(szmzazxdt0(xS),xS)
| ~ spl15_11 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f379,plain,
( ~ spl15_2
| spl15_11 ),
inference(avatar_split_clause,[],[f304,f376,f337]) ).
fof(f405,plain,
( aElementOf0(szmzazxdt0(xS),szNzAzT0)
| ~ spl15_11 ),
inference(resolution,[],[f295,f378]) ).
fof(f420,plain,
( ~ aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0)
| ~ spl15_4 ),
inference(resolution,[],[f348,f311]) ).
fof(f437,plain,
( ~ aElementOf0(szmzazxdt0(xS),szNzAzT0)
| ~ spl15_4 ),
inference(resolution,[],[f246,f420]) ).
fof(f445,plain,
( $false
| ~ spl15_4
| ~ spl15_11 ),
inference(forward_subsumption_resolution,[],[f437,f405]) ).
fof(f446,plain,
( ~ spl15_4
| ~ spl15_11 ),
inference(avatar_contradiction_clause,[],[f445]) ).
fof(f452,plain,
( ! [X0] :
( aElementOf0(sK14(X0),slcrc0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl15_1 ),
inference(superposition,[],[f312,f335]) ).
fof(f461,plain,
( ! [X0] : ~ aElementOf0(X0,szNzAzT0)
| ~ spl15_1 ),
inference(forward_subsumption_resolution,[],[f452,f315]) ).
fof(f463,plain,
( $false
| ~ spl15_1 ),
inference(resolution,[],[f461,f244]) ).
fof(f466,plain,
~ spl15_1,
inference(avatar_contradiction_clause,[],[f463]) ).
cnf(s1,plain,
( spl15_1
| spl15_2 ),
inference(sat_conversion,[],[f340]) ).
cnf(s3,plain,
( ~ spl15_2
| spl15_4 ),
inference(sat_conversion,[],[f349]) ).
cnf(s10,plain,
( ~ spl15_2
| spl15_11 ),
inference(sat_conversion,[],[f379]) ).
cnf(s14,plain,
( ~ spl15_4
| ~ spl15_11 ),
inference(sat_conversion,[],[f446]) ).
cnf(s16,plain,
~ spl15_1,
inference(sat_conversion,[],[f466]) ).
cnf(s19,plain,
spl15_2,
inference(rat,[],[s1,s16]) ).
cnf(s20,plain,
spl15_11,
inference(rat,[],[s10,s19]) ).
cnf(s27,plain,
spl15_4,
inference(rat,[],[s3,s19]) ).
cnf(s28,plain,
$false,
inference(rat,[],[s14,s20,s27]) ).
fof(f467,plain,
$false,
inference(avatar_sat_refutation,[],[s28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM545+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.38 % Computer : n007.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 27 20:23:41 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.41 Running first-order model finding
% 0.09/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.46 % (1757401)Will run a generic schedule for satisfiability detection.
% 0.15/0.46 % (1757406)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1539220091_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.46 % (1757407)% WARNING: option uhcvi not known.
% 0.15/0.46 % TRYING [1]
% 0.15/0.46 % TRYING [2]
% 0.15/0.46 % TRYING [3]
% 0.15/0.46 % (1757407)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2503649435:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.46 % (1757408)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3284133667:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.46 % (1757410)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1634338094:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.46 % (1757409)dis+10_1_sil=32000:sp=arity:random_seed=4236276334:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.46 % (1757412)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3181911702:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.46 % (1757411)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4256504805:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.46 % TRYING [4]
% 0.15/0.46 % (1757409) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1757401-1757409"...
% 0.15/0.46 % (1757409)...printing done.
% 0.15/0.46 % (1757409)Refutation found. Thanks to Tanya!
% 0.15/0.46 % SZS status Theorem for theBenchmark
% 0.15/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.46 % (1757409)------------------------------
% 0.15/0.46 % (1757409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.46 % (1757409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.46 % (1757409)CaDiCaL version: 2.1.3
% 0.15/0.46 % (1757409)Termination reason: Refutation
% 0.15/0.46 % (1757409)Time elapsed: 0.007 s
% 0.15/0.46 % (1757409)Peak memory usage: 12 MB
% 0.15/0.46 % (1757409)Instructions burned: 9 (million)
% 0.15/0.46 % (1757401)Success in time 0.043 s
% 0.15/0.46 % Vampire exiting
%------------------------------------------------------------------------------