%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM617+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n018.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 12:25:02 PM UTC 2026
% Result : Theorem 0.17s 0.55s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 17
% Syntax : Number of formulae : 92 ( 26 unt; 7 def)
% Number of atoms : 319 ( 34 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 378 ( 151 ~; 143 |; 63 &)
% ( 16 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 6 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 110 ( 0 sgn 104 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
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(f101,axiom,
aSubsetOf0(xQ,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5106) ).
fof(f103,axiom,
xp = szmzizndt0(xQ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5147) ).
fof(f104,axiom,
( aSet0(xP)
& xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5164) ).
fof(f105,axiom,
aElementOf0(xp,xQ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5173) ).
fof(f113,axiom,
aElementOf0(xx,xP),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5348) ).
fof(f114,conjecture,
aElementOf0(xx,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f115,negated_conjecture,
~ aElementOf0(xx,szNzAzT0),
inference(negated_conjecture,[status(cth)],[f114]) ).
fof(f123,plain,
~ aElementOf0(xx,szNzAzT0),
inference(flattening,[],[f115]) ).
fof(f124,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f130,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f140,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(f141,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,[],[f140]) ).
fof(f250,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(f251,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(f252,plain,
! [X0,X1] :
( sP3(X1,X0)
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(definition_folding,[],[f141,f251,f250]) ).
fof(f257,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,[],[f130]) ).
fof(f258,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,[],[f257]) ).
fof(f259,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,[],[f258]) ).
fof(f260,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))],[f259]) ).
fof(f267,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,[],[f251]) ).
fof(f268,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,[],[f267]) ).
fof(f269,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,[],[f250]) ).
fof(f270,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,[],[f269]) ).
fof(f271,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,[],[f270]) ).
fof(f272,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))],[f271]) ).
fof(f316,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f323,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f260]) ).
fof(f324,plain,
! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f260]) ).
fof(f343,plain,
! [X2,X0,X1] :
( sP2(X2,X1,X0)
| sdtmndt0(X1,X0) != X2
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f268]) ).
fof(f346,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X1)
| ~ aElementOf0(X4,X0)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f272]) ).
fof(f354,plain,
! [X0,X1] :
( sP3(X1,X0)
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f252]) ).
fof(f362,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f518,plain,
aSubsetOf0(xQ,szNzAzT0),
inference(cnf_transformation,[],[f101]) ).
fof(f520,plain,
xp = szmzizndt0(xQ),
inference(cnf_transformation,[],[f103]) ).
fof(f521,plain,
xP = sdtmndt0(xQ,szmzizndt0(xQ)),
inference(cnf_transformation,[],[f104]) ).
fof(f523,plain,
aElementOf0(xp,xQ),
inference(cnf_transformation,[],[f105]) ).
fof(f533,plain,
aElementOf0(xx,xP),
inference(cnf_transformation,[],[f113]) ).
fof(f534,plain,
~ aElementOf0(xx,szNzAzT0),
inference(cnf_transformation,[],[f123]) ).
fof(f540,plain,
! [X0,X1] :
( sP2(sdtmndt0(X1,X0),X1,X0)
| ~ sP3(X0,X1) ),
inference(equality_resolution,[],[f343]) ).
fof(f572,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(consistent_polarity_flipping,[],[f316]) ).
fof(f577,plain,
! [X3,X0,X1] :
( ~ aSubsetOf0(X1,X0)
| aElementOf0(X3,X1)
| ~ aElementOf0(X3,X0)
| ~ aSet0(X0) ),
inference(consistent_polarity_flipping,[],[f323]) ).
fof(f591,plain,
! [X0,X1] :
( sP3(X0,X1)
| sP2(sdtmndt0(X1,X0),X1,X0) ),
inference(consistent_polarity_flipping,[],[f540]) ).
fof(f598,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X0)
| ~ aElementOf0(X4,X1)
| ~ sP2(X0,X1,X2) ),
inference(consistent_polarity_flipping,[],[f346]) ).
fof(f600,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aSet0(X0)
| ~ sP3(X1,X0) ),
inference(consistent_polarity_flipping,[],[f354]) ).
fof(f722,plain,
~ aElementOf0(xp,xQ),
inference(consistent_polarity_flipping,[],[f523]) ).
fof(f727,plain,
~ aElementOf0(xx,xP),
inference(consistent_polarity_flipping,[],[f533]) ).
fof(f728,plain,
aElementOf0(xx,szNzAzT0),
inference(consistent_polarity_flipping,[],[f534]) ).
fof(f768,plain,
xP = sdtmndt0(xQ,xp),
inference(superposition,[],[f521,f520]) ).
fof(f806,definition,
( spl29_14
<=> aSet0(szNzAzT0) ),
introduced(definition,[new_symbols(definition,[spl29_14])],[avatar_definition]) ).
fof(f808,plain,
( ~ aSet0(szNzAzT0)
| spl29_14 ),
inference(avatar_component_clause,[],[f806]) ).
fof(f813,plain,
( $false
| spl29_14 ),
inference(resolution,[],[f808,f362]) ).
fof(f815,plain,
spl29_14,
inference(avatar_contradiction_clause,[],[f813]) ).
fof(f847,plain,
( ~ aElement0(xp)
| ~ aSet0(xQ) ),
inference(resolution,[],[f572,f722]) ).
fof(f855,definition,
( spl29_16
<=> aSet0(xQ) ),
introduced(definition,[new_symbols(definition,[spl29_16])],[avatar_definition]) ).
fof(f857,plain,
( ~ aSet0(xQ)
| spl29_16 ),
inference(avatar_component_clause,[],[f855]) ).
fof(f859,definition,
( spl29_17
<=> aElement0(xp) ),
introduced(definition,[new_symbols(definition,[spl29_17])],[avatar_definition]) ).
fof(f861,plain,
( ~ aElement0(xp)
| spl29_17 ),
inference(avatar_component_clause,[],[f859]) ).
fof(f862,plain,
( ~ spl29_16
| ~ spl29_17 ),
inference(avatar_split_clause,[],[f847,f859,f855]) ).
fof(f918,plain,
( ! [X0] :
( ~ aSubsetOf0(xQ,X0)
| ~ aSet0(X0) )
| spl29_16 ),
inference(resolution,[],[f857,f324]) ).
fof(f949,plain,
( ~ aSet0(szNzAzT0)
| spl29_16 ),
inference(resolution,[],[f918,f518]) ).
fof(f952,plain,
( ~ spl29_14
| spl29_16 ),
inference(avatar_split_clause,[],[f949,f855,f806]) ).
fof(f975,plain,
( ! [X0] :
( ~ sP3(xp,X0)
| ~ aSet0(X0) )
| spl29_17 ),
inference(resolution,[],[f600,f861]) ).
fof(f1660,plain,
( ! [X0] :
( sP2(sdtmndt0(X0,xp),X0,xp)
| ~ aSet0(X0) )
| spl29_17 ),
inference(resolution,[],[f591,f975]) ).
fof(f2101,plain,
! [X0,X1] :
( ~ sP2(xP,X0,X1)
| ~ aElementOf0(xx,X0) ),
inference(resolution,[],[f598,f727]) ).
fof(f2406,plain,
( sP2(xP,xQ,xp)
| ~ aSet0(xQ)
| spl29_17 ),
inference(superposition,[],[f1660,f768]) ).
fof(f2408,definition,
( spl29_121
<=> sP2(xP,xQ,xp) ),
introduced(definition,[new_symbols(definition,[spl29_121])],[avatar_definition]) ).
fof(f2410,plain,
( sP2(xP,xQ,xp)
| ~ spl29_121 ),
inference(avatar_component_clause,[],[f2408]) ).
fof(f2411,plain,
( ~ spl29_16
| spl29_121
| spl29_17 ),
inference(avatar_split_clause,[],[f2406,f859,f2408,f855]) ).
fof(f2513,plain,
( ~ aElementOf0(xx,xQ)
| ~ spl29_121 ),
inference(resolution,[],[f2410,f2101]) ).
fof(f2937,plain,
! [X0] :
( aElementOf0(X0,xQ)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f577,f518]) ).
fof(f2950,definition,
( spl29_166
<=> ! [X0] :
( aElementOf0(X0,xQ)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(definition,[new_symbols(definition,[spl29_166])],[avatar_definition]) ).
fof(f2951,plain,
( ! [X0] :
( aElementOf0(X0,xQ)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl29_166 ),
inference(avatar_component_clause,[],[f2950]) ).
fof(f2952,plain,
( ~ spl29_14
| spl29_166 ),
inference(avatar_split_clause,[],[f2937,f2950,f806]) ).
fof(f4655,plain,
( ~ aElementOf0(xx,szNzAzT0)
| ~ spl29_121
| ~ spl29_166 ),
inference(resolution,[],[f2951,f2513]) ).
fof(f4917,plain,
( $false
| ~ spl29_121
| ~ spl29_166 ),
inference(resolution,[],[f4655,f728]) ).
fof(f4948,plain,
( ~ spl29_121
| ~ spl29_166 ),
inference(avatar_contradiction_clause,[],[f4917]) ).
cnf(s12,plain,
spl29_14,
inference(sat_conversion,[],[f815]) ).
cnf(s15,plain,
( ~ spl29_16
| ~ spl29_17 ),
inference(sat_conversion,[],[f862]) ).
cnf(s28,plain,
( ~ spl29_14
| spl29_16 ),
inference(sat_conversion,[],[f952]) ).
cnf(s121,plain,
( ~ spl29_16
| spl29_17
| spl29_121 ),
inference(sat_conversion,[],[f2411]) ).
cnf(s171,plain,
( ~ spl29_14
| spl29_166 ),
inference(sat_conversion,[],[f2952]) ).
cnf(s297,plain,
( ~ spl29_121
| ~ spl29_166 ),
inference(sat_conversion,[],[f4948]) ).
cnf(s359,plain,
spl29_166,
inference(rat,[],[s171,s12]) ).
cnf(s363,plain,
spl29_16,
inference(rat,[],[s28,s12]) ).
cnf(s368,plain,
~ spl29_121,
inference(rat,[],[s297,s359]) ).
cnf(s373,plain,
spl29_17,
inference(rat,[],[s121,s368,s363]) ).
cnf(s374,plain,
$false,
inference(rat,[],[s15,s373,s363]) ).
fof(f4967,plain,
$false,
inference(avatar_sat_refutation,[],[s374]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM617+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n018.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 20:48:24 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 Running first-order model finding
% 0.12/0.40 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.55 % (2707950)Will run a generic schedule for satisfiability detection.
% 0.17/0.55 % (2707960)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=91062247:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.55 % (2707956)% WARNING: option uhcvi not known.
% 0.17/0.55 % (2707955)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2854399274_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.55 % (2707956)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3995222863:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.55 % (2707957)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3662769026:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.55 % (2707958)dis+10_1_sil=32000:sp=arity:random_seed=1704060791:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.55 % (2707959)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2369887716:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.55 % (2707961)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3357927257:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.55 % TRYING [1]
% 0.17/0.55 % TRYING [2]
% 0.17/0.55 % TRYING [3]
% 0.17/0.55 % (2707960)Instruction limit reached!
% 0.17/0.55 % (2707960)------------------------------
% 0.17/0.55 % (2707960)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.55 % (2707960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.55 % (2707960)CaDiCaL version: 2.1.3
% 0.17/0.55 % (2707960)Termination reason: Instruction limit
% 0.17/0.55 % (2707960)Termination phase: Saturation
% 0.17/0.55 % (2707960)Time elapsed: 0.045 s
% 0.17/0.55 % (2707960)Peak memory usage: 13 MB
% 0.17/0.55 % (2707960)Instructions burned: 132 (million)
% 0.17/0.55 % (2707969)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4283322539:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.17/0.55 % TRYING [4]
% 0.17/0.55 % TRYING [1]
% 0.17/0.55 % TRYING [2]
% 0.17/0.55 % TRYING [3]
% 0.17/0.55 % (2707958)Instruction limit reached!
% 0.17/0.55 % (2707958)------------------------------
% 0.17/0.55 % (2707958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.55 % (2707958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.55 % (2707958)CaDiCaL version: 2.1.3
% 0.17/0.55 % (2707958)Termination reason: Instruction limit
% 0.17/0.55 % (2707958)Termination phase: Saturation
% 0.17/0.55 % (2707958)Time elapsed: 0.069 s
% 0.17/0.55 % (2707958)Peak memory usage: 13 MB
% 0.17/0.55 % (2707958)Instructions burned: 104 (million)
% 0.17/0.55 % (2707959)Instruction limit reached!
% 0.17/0.55 % (2707959)------------------------------
% 0.17/0.55 % (2707959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.55 % (2707959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.55 % (2707959)CaDiCaL version: 2.1.3
% 0.17/0.55 % (2707959)Termination reason: Instruction limit
% 0.17/0.55 % (2707959)Termination phase: Saturation
% 0.17/0.55 % (2707959)Time elapsed: 0.075 s
% 0.17/0.55 % (2707959)Peak memory usage: 13 MB
% 0.17/0.55 % (2707959)Instructions burned: 116 (million)
% 0.17/0.55 % TRYING [4]
% 0.17/0.55 % (2707961) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2707950-2707961"...
% 0.17/0.55 % (2707961)...printing done.
% 0.17/0.55 % (2707971)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1802342510:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.17/0.55 % (2707961)Refutation found. Thanks to Tanya!
% 0.17/0.55 % SZS status Theorem for theBenchmark
% 0.17/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.55 % (2707961)------------------------------
% 0.17/0.55 % (2707961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.55 % (2707961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.55 % (2707961)CaDiCaL version: 2.1.3
% 0.17/0.55 % (2707961)Termination reason: Refutation
% 0.17/0.55 % (2707961)Time elapsed: 0.088 s
% 0.17/0.55 % (2707961)Peak memory usage: 15 MB
% 0.17/0.55 % (2707961)Instructions burned: 123 (million)
% 0.17/0.55 % (2707950)Success in time 0.138 s
% 0.17/0.55 % Vampire exiting
%------------------------------------------------------------------------------