%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM612+1 : 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 : 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 12:25:01 PM UTC 2026
% Result : Theorem 0.12s 0.48s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 19
% Syntax : Number of formulae : 96 ( 26 unt; 4 def)
% Number of atoms : 323 ( 57 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 379 ( 152 ~; 152 |; 53 &)
% ( 14 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 5 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 8 con; 0-3 aty)
% Number of variables : 82 ( 0 sgn 76 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
fof(f11,axiom,
! [X0] :
( ( aSet0(X0)
& isFinite0(X0) )
=> ! [X1] :
( aSubsetOf0(X1,X0)
=> isFinite0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubFSet) ).
fof(f23,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).
fof(f41,axiom,
! [X0] :
( aSet0(X0)
=> ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
<=> isFinite0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardNum) ).
fof(f44,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( ( isFinite0(X0)
& aElementOf0(X1,X0) )
=> szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1))) = sbrdtbr0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardDiff) ).
fof(f57,axiom,
! [X0,X1] :
( ( aSet0(X0)
& aElementOf0(X1,szNzAzT0) )
=> ! [X2] :
( X2 = slbdtsldtrb0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSel) ).
fof(f74,axiom,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3418) ).
fof(f95,axiom,
( aSet0(xO)
& xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4891) ).
fof(f99,axiom,
aElementOf0(xQ,slbdtsldtrb0(xO,xK)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5078) ).
fof(f101,axiom,
aSubsetOf0(xQ,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5106) ).
fof(f103,axiom,
xp = szmzizndt0(xQ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5147) ).
fof(f104,axiom,
( aSet0(xP)
& xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5164) ).
fof(f105,axiom,
aElementOf0(xp,xQ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5173) ).
fof(f107,axiom,
aSubsetOf0(xP,xQ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5195) ).
fof(f109,conjecture,
( szszuzczcdt0(sbrdtbr0(xP)) = sbrdtbr0(xQ)
& aElementOf0(sbrdtbr0(xP),szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f110,negated_conjecture,
~ ( szszuzczcdt0(sbrdtbr0(xP)) = sbrdtbr0(xQ)
& aElementOf0(sbrdtbr0(xP),szNzAzT0) ),
inference(negated_conjecture,[status(cth)],[f109]) ).
fof(f124,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f125,plain,
! [X0] :
( ! [X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0) )
| ~ aSet0(X0)
| ~ isFinite0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f126,plain,
! [X0] :
( ! [X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0) )
| ~ aSet0(X0)
| ~ isFinite0(X0) ),
inference(flattening,[],[f125]) ).
fof(f167,plain,
! [X0] :
( ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
<=> isFinite0(X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f171,plain,
! [X0] :
( ! [X1] :
( szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1))) = sbrdtbr0(X0)
| ~ isFinite0(X0)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f172,plain,
! [X0] :
( ! [X1] :
( szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1))) = sbrdtbr0(X0)
| ~ isFinite0(X0)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(flattening,[],[f171]) ).
fof(f192,plain,
! [X0,X1] :
( ! [X2] :
( X2 = slbdtsldtrb0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 ) ) ) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f193,plain,
! [X0,X1] :
( ! [X2] :
( X2 = slbdtsldtrb0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 ) ) ) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f192]) ).
fof(f241,plain,
( szszuzczcdt0(sbrdtbr0(xP)) != sbrdtbr0(xQ)
| ~ aElementOf0(sbrdtbr0(xP),szNzAzT0) ),
inference(ennf_transformation,[],[f110]) ).
fof(f252,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,[],[f124]) ).
fof(f253,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,[],[f252]) ).
fof(f254,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,[],[f253]) ).
fof(f255,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))],[f254]) ).
fof(f270,plain,
! [X0] :
( ( ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0) )
& ( isFinite0(X0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f167]) ).
fof(f289,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = slbdtsldtrb0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aSubsetOf0(X3,X0)
| sbrdtbr0(X3) != X1
| ~ aElementOf0(X3,X2) )
& ( ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aSubsetOf0(X3,X0)
| sbrdtbr0(X3) != X1 )
& ( ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 )
| ~ aElementOf0(X3,X2) ) ) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(nnf_transformation,[],[f193]) ).
fof(f290,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = slbdtsldtrb0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aSubsetOf0(X3,X0)
| sbrdtbr0(X3) != X1
| ~ aElementOf0(X3,X2) )
& ( ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aSubsetOf0(X3,X0)
| sbrdtbr0(X3) != X1 )
& ( ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 )
| ~ aElementOf0(X3,X2) ) ) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f289]) ).
fof(f291,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = slbdtsldtrb0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aSubsetOf0(X3,X0)
| sbrdtbr0(X3) != X1
| ~ aElementOf0(X3,X2) )
& ( ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aSubsetOf0(X4,X0)
| sbrdtbr0(X4) != X1 )
& ( ( aSubsetOf0(X4,X0)
& sbrdtbr0(X4) = X1 )
| ~ aElementOf0(X4,X2) ) ) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(rectify,[],[f290]) ).
fof(f292,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = slbdtsldtrb0(X0,X1)
| ~ aSet0(X2)
| ( ( ~ aSubsetOf0(sK14(X0,X1,X2),X0)
| sbrdtbr0(sK14(X0,X1,X2)) != X1
| ~ aElementOf0(sK14(X0,X1,X2),X2) )
& ( ( aSubsetOf0(sK14(X0,X1,X2),X0)
& sbrdtbr0(sK14(X0,X1,X2)) = X1 )
| aElementOf0(sK14(X0,X1,X2),X2) ) ) )
& ( ( aSet0(X2)
& ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aSubsetOf0(X4,X0)
| sbrdtbr0(X4) != X1 )
& ( ( aSubsetOf0(X4,X0)
& sbrdtbr0(X4) = X1 )
| ~ aElementOf0(X4,X2) ) ) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X3,sK14(X0,X1,X2))],[f291]) ).
fof(f319,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f255]) ).
fof(f322,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| isFinite0(X1)
| ~ aSet0(X0)
| ~ isFinite0(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f357,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f376,plain,
! [X0] :
( ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f270]) ).
fof(f377,plain,
! [X0] :
( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f270]) ).
fof(f381,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| ~ isFinite0(X0)
| sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f172]) ).
fof(f411,plain,
! [X2,X0,X1,X4] :
( sbrdtbr0(X4) = X1
| ~ aElementOf0(X4,X2)
| slbdtsldtrb0(X0,X1) != X2
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f456,plain,
aElementOf0(xK,szNzAzT0),
inference(cnf_transformation,[],[f74]) ).
fof(f503,plain,
aSet0(xO),
inference(cnf_transformation,[],[f95]) ).
fof(f510,plain,
aElementOf0(xQ,slbdtsldtrb0(xO,xK)),
inference(cnf_transformation,[],[f99]) ).
fof(f513,plain,
aSubsetOf0(xQ,szNzAzT0),
inference(cnf_transformation,[],[f101]) ).
fof(f515,plain,
xp = szmzizndt0(xQ),
inference(cnf_transformation,[],[f103]) ).
fof(f516,plain,
xP = sdtmndt0(xQ,szmzizndt0(xQ)),
inference(cnf_transformation,[],[f104]) ).
fof(f517,plain,
aSet0(xP),
inference(cnf_transformation,[],[f104]) ).
fof(f518,plain,
aElementOf0(xp,xQ),
inference(cnf_transformation,[],[f105]) ).
fof(f520,plain,
aSubsetOf0(xP,xQ),
inference(cnf_transformation,[],[f107]) ).
fof(f522,plain,
( szszuzczcdt0(sbrdtbr0(xP)) != sbrdtbr0(xQ)
| ~ aElementOf0(sbrdtbr0(xP),szNzAzT0) ),
inference(cnf_transformation,[],[f241]) ).
fof(f544,plain,
! [X0,X1,X4] :
( ~ aElementOf0(X4,slbdtsldtrb0(X0,X1))
| sbrdtbr0(X4) = X1
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(equality_resolution,[],[f411]) ).
fof(f562,definition,
( spl29_1
<=> aElementOf0(sbrdtbr0(xP),szNzAzT0) ),
introduced(definition,[new_symbols(definition,[spl29_1])],[avatar_definition]) ).
fof(f564,plain,
( ~ aElementOf0(sbrdtbr0(xP),szNzAzT0)
| spl29_1 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f566,definition,
( spl29_2
<=> szszuzczcdt0(sbrdtbr0(xP)) = sbrdtbr0(xQ) ),
introduced(definition,[new_symbols(definition,[spl29_2])],[avatar_definition]) ).
fof(f568,plain,
( szszuzczcdt0(sbrdtbr0(xP)) != sbrdtbr0(xQ)
| spl29_2 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f569,plain,
( ~ spl29_1
| ~ spl29_2 ),
inference(avatar_split_clause,[],[f522,f566,f562]) ).
fof(f595,plain,
xP = sdtmndt0(xQ,xp),
inference(forward_demodulation,[],[f516,f515]) ).
fof(f683,definition,
( spl29_16
<=> aSet0(xQ) ),
introduced(definition,[new_symbols(definition,[spl29_16])],[avatar_definition]) ).
fof(f684,plain,
( aSet0(xQ)
| ~ spl29_16 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f719,plain,
( aSet0(xQ)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f319,f513]) ).
fof(f723,plain,
aSet0(xQ),
inference(forward_subsumption_resolution,[],[f719,f357]) ).
fof(f728,plain,
spl29_16,
inference(avatar_split_clause,[],[f723,f683]) ).
fof(f757,plain,
( ~ isFinite0(xP)
| ~ aSet0(xP)
| spl29_1 ),
inference(resolution,[],[f377,f564]) ).
fof(f767,plain,
( ~ isFinite0(xP)
| spl29_1 ),
inference(forward_subsumption_resolution,[],[f757,f517]) ).
fof(f880,plain,
( isFinite0(xP)
| ~ aSet0(xQ)
| ~ isFinite0(xQ) ),
inference(resolution,[],[f322,f520]) ).
fof(f883,plain,
( ~ aSet0(xQ)
| ~ isFinite0(xQ)
| spl29_1 ),
inference(forward_subsumption_resolution,[],[f880,f767]) ).
fof(f886,plain,
( ~ isFinite0(xQ)
| spl29_1
| ~ spl29_16 ),
inference(forward_subsumption_resolution,[],[f883,f684]) ).
fof(f1719,plain,
( xK = sbrdtbr0(xQ)
| ~ aSet0(xO)
| ~ aElementOf0(xK,szNzAzT0) ),
inference(resolution,[],[f544,f510]) ).
fof(f1730,plain,
( xK = sbrdtbr0(xQ)
| ~ aElementOf0(xK,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f1719,f503]) ).
fof(f1732,plain,
xK = sbrdtbr0(xQ),
inference(forward_subsumption_resolution,[],[f1730,f456]) ).
fof(f1737,plain,
( ~ aElementOf0(xK,szNzAzT0)
| isFinite0(xQ)
| ~ aSet0(xQ) ),
inference(superposition,[],[f376,f1732]) ).
fof(f1739,plain,
( isFinite0(xQ)
| ~ aSet0(xQ) ),
inference(forward_subsumption_resolution,[],[f1737,f456]) ).
fof(f1740,plain,
( ~ aSet0(xQ)
| spl29_1
| ~ spl29_16 ),
inference(forward_subsumption_resolution,[],[f1739,f886]) ).
fof(f1741,plain,
( $false
| spl29_1
| ~ spl29_16 ),
inference(forward_subsumption_resolution,[],[f1740,f684]) ).
fof(f1742,plain,
( spl29_1
| ~ spl29_16 ),
inference(avatar_contradiction_clause,[],[f1741]) ).
fof(f1743,plain,
( xK != szszuzczcdt0(sbrdtbr0(xP))
| spl29_2 ),
inference(forward_demodulation,[],[f568,f1732]) ).
fof(f1747,plain,
( isFinite0(xQ)
| ~ spl29_16 ),
inference(forward_subsumption_resolution,[],[f1739,f684]) ).
fof(f1749,definition,
( spl29_83
<=> isFinite0(xQ) ),
introduced(definition,[new_symbols(definition,[spl29_83])],[avatar_definition]) ).
fof(f1762,plain,
( spl29_83
| ~ spl29_16 ),
inference(avatar_split_clause,[],[f1747,f683,f1749]) ).
fof(f1928,plain,
( ~ isFinite0(xQ)
| sbrdtbr0(xQ) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xp)))
| ~ aSet0(xQ) ),
inference(resolution,[],[f381,f518]) ).
fof(f1933,plain,
( ~ isFinite0(xQ)
| sbrdtbr0(xQ) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xp)))
| ~ spl29_16 ),
inference(forward_subsumption_resolution,[],[f1928,f684]) ).
fof(f1940,plain,
( szszuzczcdt0(sbrdtbr0(xP)) = sbrdtbr0(xQ)
| ~ isFinite0(xQ)
| ~ spl29_16 ),
inference(forward_demodulation,[],[f1933,f595]) ).
fof(f1955,plain,
( xK = szszuzczcdt0(sbrdtbr0(xP))
| ~ isFinite0(xQ)
| ~ spl29_16 ),
inference(forward_demodulation,[],[f1940,f1732]) ).
fof(f1958,plain,
( ~ isFinite0(xQ)
| spl29_2
| ~ spl29_16 ),
inference(forward_subsumption_resolution,[],[f1955,f1743]) ).
fof(f1960,plain,
( ~ spl29_83
| spl29_2
| ~ spl29_16 ),
inference(avatar_split_clause,[],[f1958,f683,f566,f1749]) ).
cnf(s1,plain,
( ~ spl29_1
| ~ spl29_2 ),
inference(sat_conversion,[],[f569]) ).
cnf(s14,plain,
spl29_16,
inference(sat_conversion,[],[f728]) ).
cnf(s67,plain,
( spl29_1
| ~ spl29_16 ),
inference(sat_conversion,[],[f1742]) ).
cnf(s70,plain,
( ~ spl29_16
| spl29_83 ),
inference(sat_conversion,[],[f1762]) ).
cnf(s79,plain,
( spl29_2
| ~ spl29_16
| ~ spl29_83 ),
inference(sat_conversion,[],[f1960]) ).
cnf(s101,plain,
spl29_83,
inference(rat,[],[s70,s14]) ).
cnf(s102,plain,
spl29_1,
inference(rat,[],[s67,s14]) ).
cnf(s105,plain,
spl29_2,
inference(rat,[],[s79,s14,s101]) ).
cnf(s113,plain,
$false,
inference(rat,[],[s1,s105,s102]) ).
fof(f1961,plain,
$false,
inference(avatar_sat_refutation,[],[s113]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM612+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n010.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 20:45:47 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 Running first-order model finding
% 0.12/0.40 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
% 0.12/0.48 % (1293540)Will run a generic schedule for satisfiability detection.
% 0.12/0.48 % (1293550)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1776142807:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.12/0.48 % (1293545)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1389713249_2999 on theBenchmark for (2999ds/0Mi)
% 0.12/0.48 % (1293547)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3138808965:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.12/0.48 % (1293548)dis+10_1_sil=32000:sp=arity:random_seed=4164009839:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.12/0.48 % (1293549)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2296603741:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.12/0.48 % (1293551)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3370325272:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.12/0.48 % (1293546)% WARNING: option uhcvi not known.
% 0.12/0.48 % (1293546)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2013072236:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.12/0.48 % TRYING [1]
% 0.12/0.48 % TRYING [2]
% 0.12/0.48 % (1293548) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1293540-1293548"...
% 0.12/0.48 % TRYING [3]
% 0.12/0.48 % (1293548)...printing done.
% 0.12/0.48 % (1293548)Refutation found. Thanks to Tanya!
% 0.12/0.48 % SZS status Theorem for theBenchmark
% 0.12/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.48 % (1293548)------------------------------
% 0.12/0.48 % (1293548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.48 % (1293548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.48 % (1293548)CaDiCaL version: 2.1.3
% 0.12/0.48 % (1293548)Termination reason: Refutation
% 0.12/0.48 % (1293548)Time elapsed: 0.033 s
% 0.12/0.48 % (1293548)Peak memory usage: 13 MB
% 0.12/0.48 % (1293548)Instructions burned: 45 (million)
% 0.12/0.48 % (1293540)Success in time 0.07 s
% 0.12/0.48 % Vampire exiting
%------------------------------------------------------------------------------