%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PRO004+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 12:30:21 PM UTC 2026
% Result : Theorem 6.53s 1.98s
% Output : Refutation 8.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 24
% Syntax : Number of formulae : 156 ( 23 unt; 8 def)
% Number of atoms : 481 ( 21 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 576 ( 251 ~; 241 |; 62 &)
% ( 11 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 9 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 210 ( 0 sgn 189 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1,X2,X3] :
( ( occurrence_of(X2,X3)
& ~ atomic(X3)
& leaf_occ(X0,X2)
& leaf_occ(X1,X2) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03) ).
fof(f5,axiom,
! [X0,X1,X2] :
( next_subocc(X0,X1,X2)
<=> ( min_precedes(X0,X1,X2)
& ~ ? [X3] :
( min_precedes(X0,X3,X2)
& min_precedes(X3,X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04) ).
fof(f6,axiom,
! [X0,X1,X2] :
( next_subocc(X0,X1,X2)
=> ( arboreal(X0)
& arboreal(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_05) ).
fof(f11,axiom,
! [X0,X1] :
( root_occ(X0,X1)
<=> ? [X2] :
( occurrence_of(X1,X2)
& subactivity_occurrence(X0,X1)
& root(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_10) ).
fof(f13,axiom,
! [X0,X1] :
( root(X0,X1)
=> legal(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_12) ).
fof(f18,axiom,
! [X0] :
( legal(X0)
=> arboreal(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_17) ).
fof(f21,axiom,
! [X0,X1,X2] :
( ( occurrence_of(X0,X2)
& root_occ(X1,X0) )
=> ~ ? [X3] : min_precedes(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_20) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( occurrence_of(X0,X2)
& leaf_occ(X1,X0) )
=> ~ ? [X3] : min_precedes(X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_21) ).
fof(f23,axiom,
! [X0,X1,X2] :
( ( occurrence_of(X0,X1)
& occurrence_of(X0,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_22) ).
fof(f25,axiom,
! [X0,X1,X2] :
( min_precedes(X1,X2,X0)
=> ? [X3] :
( occurrence_of(X3,X0)
& subactivity_occurrence(X1,X3)
& subactivity_occurrence(X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_24) ).
fof(f33,axiom,
! [X0] :
( occurrence_of(X0,tptp0)
=> ? [X1,X2] :
( occurrence_of(X1,tptp4)
& root_occ(X1,X0)
& occurrence_of(X2,tptp3)
& leaf_occ(X2,X0)
& next_subocc(X1,X2,tptp0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).
fof(f35,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_34) ).
fof(f43,axiom,
tptp1 != tptp3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_42) ).
fof(f47,axiom,
! [X0,X1] :
( ( occurrence_of(X1,tptp0)
& subactivity_occurrence(X0,X1)
& arboreal(X0)
& ~ leaf_occ(X0,X1) )
=> root_occ(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_46) ).
fof(f48,axiom,
! [X0,X1] :
( ( occurrence_of(X1,tptp0)
& subactivity_occurrence(X0,X1)
& arboreal(X0)
& ~ leaf_occ(X0,X1) )
=> ? [X2] :
( occurrence_of(X2,tptp1)
& next_subocc(X0,X2,tptp0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_47) ).
fof(f49,conjecture,
~ ? [X0] : occurrence_of(X0,tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f50,negated_conjecture,
~ ~ ? [X0] : occurrence_of(X0,tptp0),
inference(negated_conjecture,[status(cth)],[f49]) ).
fof(f51,plain,
? [X0] : occurrence_of(X0,tptp0),
inference(flattening,[],[f50]) ).
fof(f58,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ occurrence_of(X2,X3)
| atomic(X3)
| ~ leaf_occ(X0,X2)
| ~ leaf_occ(X1,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f59,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ occurrence_of(X2,X3)
| atomic(X3)
| ~ leaf_occ(X0,X2)
| ~ leaf_occ(X1,X2) ),
inference(flattening,[],[f58]) ).
fof(f60,plain,
! [X0,X1,X2] :
( next_subocc(X0,X1,X2)
<=> ( min_precedes(X0,X1,X2)
& ! [X3] :
( ~ min_precedes(X0,X3,X2)
| ~ min_precedes(X3,X1,X2) ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f61,plain,
! [X0,X1,X2] :
( ( arboreal(X0)
& arboreal(X1) )
| ~ next_subocc(X0,X1,X2) ),
inference(ennf_transformation,[],[f6]) ).
fof(f65,plain,
! [X0,X1] :
( legal(X0)
| ~ root(X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f70,plain,
! [X0] :
( arboreal(X0)
| ~ legal(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f73,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X3,X1,X2)
| ~ occurrence_of(X0,X2)
| ~ root_occ(X1,X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X3,X1,X2)
| ~ occurrence_of(X0,X2)
| ~ root_occ(X1,X0) ),
inference(flattening,[],[f73]) ).
fof(f75,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X1,X3,X2)
| ~ occurrence_of(X0,X2)
| ~ leaf_occ(X1,X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f76,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X1,X3,X2)
| ~ occurrence_of(X0,X2)
| ~ leaf_occ(X1,X0) ),
inference(flattening,[],[f75]) ).
fof(f77,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X1)
| ~ occurrence_of(X0,X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f78,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X1)
| ~ occurrence_of(X0,X2) ),
inference(flattening,[],[f77]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ? [X3] :
( occurrence_of(X3,X0)
& subactivity_occurrence(X1,X3)
& subactivity_occurrence(X2,X3) )
| ~ min_precedes(X1,X2,X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f92,plain,
! [X0] :
( ? [X1,X2] :
( occurrence_of(X1,tptp4)
& root_occ(X1,X0)
& occurrence_of(X2,tptp3)
& leaf_occ(X2,X0)
& next_subocc(X1,X2,tptp0) )
| ~ occurrence_of(X0,tptp0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f95,plain,
! [X0,X1] :
( root_occ(X0,X1)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(ennf_transformation,[],[f47]) ).
fof(f96,plain,
! [X0,X1] :
( root_occ(X0,X1)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(flattening,[],[f95]) ).
fof(f97,plain,
! [X0,X1] :
( ? [X2] :
( occurrence_of(X2,tptp1)
& next_subocc(X0,X2,tptp0) )
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(ennf_transformation,[],[f48]) ).
fof(f98,plain,
! [X0,X1] :
( ? [X2] :
( occurrence_of(X2,tptp1)
& next_subocc(X0,X2,tptp0) )
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(flattening,[],[f97]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ( next_subocc(X0,X1,X2)
| ~ min_precedes(X0,X1,X2)
| ? [X3] :
( min_precedes(X0,X3,X2)
& min_precedes(X3,X1,X2) ) )
& ( ( min_precedes(X0,X1,X2)
& ! [X3] :
( ~ min_precedes(X0,X3,X2)
| ~ min_precedes(X3,X1,X2) ) )
| ~ next_subocc(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f60]) ).
fof(f100,plain,
! [X0,X1,X2] :
( ( next_subocc(X0,X1,X2)
| ~ min_precedes(X0,X1,X2)
| ? [X3] :
( min_precedes(X0,X3,X2)
& min_precedes(X3,X1,X2) ) )
& ( ( min_precedes(X0,X1,X2)
& ! [X3] :
( ~ min_precedes(X0,X3,X2)
| ~ min_precedes(X3,X1,X2) ) )
| ~ next_subocc(X0,X1,X2) ) ),
inference(flattening,[],[f99]) ).
fof(f101,plain,
! [X0,X1,X2] :
( ( next_subocc(X0,X1,X2)
| ~ min_precedes(X0,X1,X2)
| ? [X3] :
( min_precedes(X0,X3,X2)
& min_precedes(X3,X1,X2) ) )
& ( ( min_precedes(X0,X1,X2)
& ! [X4] :
( ~ min_precedes(X0,X4,X2)
| ~ min_precedes(X4,X1,X2) ) )
| ~ next_subocc(X0,X1,X2) ) ),
inference(rectify,[],[f100]) ).
fof(f102,plain,
! [X0,X1,X2] :
( ( next_subocc(X0,X1,X2)
| ~ min_precedes(X0,X1,X2)
| ( min_precedes(X0,sK0(X0,X1,X2),X2)
& min_precedes(sK0(X0,X1,X2),X1,X2) ) )
& ( ( min_precedes(X0,X1,X2)
& ! [X4] :
( ~ min_precedes(X0,X4,X2)
| ~ min_precedes(X4,X1,X2) ) )
| ~ next_subocc(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1,X2))],[f101]) ).
fof(f105,plain,
! [X0,X1] :
( ( root_occ(X0,X1)
| ! [X2] :
( ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ root(X0,X2) ) )
& ( ? [X2] :
( occurrence_of(X1,X2)
& subactivity_occurrence(X0,X1)
& root(X0,X2) )
| ~ root_occ(X0,X1) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f106,plain,
! [X0,X1] :
( ( root_occ(X0,X1)
| ! [X2] :
( ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ root(X0,X2) ) )
& ( ? [X3] :
( occurrence_of(X1,X3)
& subactivity_occurrence(X0,X1)
& root(X0,X3) )
| ~ root_occ(X0,X1) ) ),
inference(rectify,[],[f105]) ).
fof(f107,plain,
! [X0,X1] :
( ( root_occ(X0,X1)
| ! [X2] :
( ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ root(X0,X2) ) )
& ( ( occurrence_of(X1,sK1(X0,X1))
& subactivity_occurrence(X0,X1)
& root(X0,sK1(X0,X1)) )
| ~ root_occ(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X0,X1))],[f106]) ).
fof(f121,plain,
! [X0,X1,X2] :
( ( occurrence_of(sK8(X0,X1,X2),X0)
& subactivity_occurrence(X1,sK8(X0,X1,X2))
& subactivity_occurrence(X2,sK8(X0,X1,X2)) )
| ~ min_precedes(X1,X2,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X3,sK8(X0,X1,X2))],[f81]) ).
fof(f126,plain,
! [X0] :
( ( occurrence_of(sK14(X0),tptp4)
& root_occ(sK14(X0),X0)
& occurrence_of(sK15(X0),tptp3)
& leaf_occ(sK15(X0),X0)
& next_subocc(sK14(X0),sK15(X0),tptp0) )
| ~ occurrence_of(X0,tptp0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15]),skolemize(X1,sK14(X0)),skolemize(X2,sK15(X0))],[f92]) ).
fof(f127,plain,
! [X0,X1] :
( ( occurrence_of(sK16(X0),tptp1)
& next_subocc(X0,sK16(X0),tptp0) )
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X2,sK16(X0))],[f98]) ).
fof(f128,plain,
occurrence_of(sK17,tptp0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(X0,sK17)],[f51]) ).
fof(f132,plain,
! [X2,X3,X0,X1] :
( ~ leaf_occ(X1,X2)
| ~ occurrence_of(X2,X3)
| atomic(X3)
| ~ leaf_occ(X0,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f59]) ).
fof(f134,plain,
! [X2,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f137,plain,
! [X2,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| arboreal(X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f145,plain,
! [X0,X1] :
( root(X0,sK1(X0,X1))
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f146,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f147,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| occurrence_of(X1,sK1(X0,X1)) ),
inference(cnf_transformation,[],[f107]) ).
fof(f153,plain,
! [X0,X1] :
( ~ root(X0,X1)
| legal(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f165,plain,
! [X0] :
( ~ legal(X0)
| arboreal(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f170,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X3,X1,X2)
| ~ occurrence_of(X0,X2)
| ~ root_occ(X1,X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f171,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X1,X3,X2)
| ~ occurrence_of(X0,X2)
| ~ leaf_occ(X1,X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f172,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f78]) ).
fof(f175,plain,
! [X2,X0,X1] :
( subactivity_occurrence(X2,sK8(X0,X1,X2))
| ~ min_precedes(X1,X2,X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f177,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| occurrence_of(sK8(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f192,plain,
! [X0] :
( next_subocc(sK14(X0),sK15(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f193,plain,
! [X0] :
( leaf_occ(sK15(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f194,plain,
! [X0] :
( occurrence_of(sK15(X0),tptp3)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f195,plain,
! [X0] :
( root_occ(sK14(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f198,plain,
~ atomic(tptp0),
inference(cnf_transformation,[],[f35]) ).
fof(f206,plain,
tptp3 != tptp1,
inference(cnf_transformation,[],[f43]) ).
fof(f210,plain,
! [X0,X1] :
( ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| root_occ(X0,X1)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f96]) ).
fof(f211,plain,
! [X0,X1] :
( ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| next_subocc(X0,sK16(X0),tptp0)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f127]) ).
fof(f212,plain,
! [X0,X1] :
( ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| occurrence_of(sK16(X0),tptp1)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f127]) ).
fof(f213,plain,
occurrence_of(sK17,tptp0),
inference(cnf_transformation,[],[f128]) ).
fof(f214,plain,
! [X0] :
( ~ occurrence_of(sK17,X0)
| tptp0 = X0 ),
inference(resolution,[],[f172,f213]) ).
fof(f237,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| min_precedes(sK14(X0),sK15(X0),tptp0) ),
inference(resolution,[],[f192,f134]) ).
fof(f238,plain,
min_precedes(sK14(sK17),sK15(sK17),tptp0),
inference(resolution,[],[f237,f213]) ).
fof(f242,plain,
! [X0] :
( ~ leaf_occ(sK14(sK17),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f238,f171]) ).
fof(f243,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,tptp0)
| atomic(X1)
| ~ leaf_occ(X2,X0)
| sK15(X0) = X2
| ~ occurrence_of(X0,X1) ),
inference(resolution,[],[f132,f193]) ).
fof(f286,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| occurrence_of(X0,sK1(sK14(X0),X0)) ),
inference(resolution,[],[f147,f195]) ).
fof(f287,plain,
occurrence_of(sK17,sK1(sK14(sK17),sK17)),
inference(resolution,[],[f286,f213]) ).
fof(f289,plain,
tptp0 = sK1(sK14(sK17),sK17),
inference(resolution,[],[f287,f214]) ).
fof(f295,plain,
( root(sK14(sK17),tptp0)
| ~ root_occ(sK14(sK17),sK17) ),
inference(superposition,[],[f145,f289]) ).
fof(f297,definition,
( spl18_8
<=> root_occ(sK14(sK17),sK17) ),
introduced(definition,[new_symbols(definition,[spl18_8])],[avatar_definition]) ).
fof(f298,plain,
( ~ root_occ(sK14(sK17),sK17)
| spl18_8 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f300,definition,
( spl18_9
<=> root(sK14(sK17),tptp0) ),
introduced(definition,[new_symbols(definition,[spl18_9])],[avatar_definition]) ).
fof(f301,plain,
( root(sK14(sK17),tptp0)
| ~ spl18_9 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f302,plain,
( ~ spl18_8
| spl18_9 ),
inference(avatar_split_clause,[],[f295,f300,f297]) ).
fof(f308,plain,
( ~ occurrence_of(sK17,tptp0)
| spl18_8 ),
inference(resolution,[],[f298,f195]) ).
fof(f310,plain,
( $false
| spl18_8 ),
inference(forward_subsumption_resolution,[],[f308,f213]) ).
fof(f311,plain,
spl18_8,
inference(avatar_contradiction_clause,[],[f310]) ).
fof(f404,plain,
( legal(sK14(sK17))
| ~ spl18_9 ),
inference(resolution,[],[f153,f301]) ).
fof(f446,plain,
( root_occ(sK14(sK17),sK17)
| ~ spl18_8 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f461,plain,
( subactivity_occurrence(sK14(sK17),sK17)
| ~ spl18_8 ),
inference(resolution,[],[f446,f146]) ).
fof(f464,plain,
( arboreal(sK14(sK17))
| ~ spl18_9 ),
inference(resolution,[],[f404,f165]) ).
fof(f467,plain,
( ! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK14(sK17),X0)
| occurrence_of(sK16(sK14(sK17)),tptp1)
| leaf_occ(sK14(sK17),X0) )
| ~ spl18_9 ),
inference(resolution,[],[f464,f212]) ).
fof(f468,plain,
( ! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK14(sK17),X0)
| next_subocc(sK14(sK17),sK16(sK14(sK17)),tptp0)
| leaf_occ(sK14(sK17),X0) )
| ~ spl18_9 ),
inference(resolution,[],[f464,f211]) ).
fof(f470,plain,
( ! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK14(sK17),X0)
| next_subocc(sK14(sK17),sK16(sK14(sK17)),tptp0) )
| ~ spl18_9 ),
inference(forward_subsumption_resolution,[],[f468,f242]) ).
fof(f471,plain,
( ! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK14(sK17),X0)
| occurrence_of(sK16(sK14(sK17)),tptp1) )
| ~ spl18_9 ),
inference(forward_subsumption_resolution,[],[f467,f242]) ).
fof(f473,definition,
( spl18_22
<=> next_subocc(sK14(sK17),sK16(sK14(sK17)),tptp0) ),
introduced(definition,[new_symbols(definition,[spl18_22])],[avatar_definition]) ).
fof(f474,plain,
( next_subocc(sK14(sK17),sK16(sK14(sK17)),tptp0)
| ~ spl18_22 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f476,definition,
( spl18_23
<=> ! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK14(sK17),X0) ) ),
introduced(definition,[new_symbols(definition,[spl18_23])],[avatar_definition]) ).
fof(f477,plain,
( ! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK14(sK17),X0) )
| ~ spl18_23 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f478,plain,
( spl18_22
| spl18_23
| ~ spl18_9 ),
inference(avatar_split_clause,[],[f470,f300,f476,f473]) ).
fof(f480,definition,
( spl18_24
<=> occurrence_of(sK16(sK14(sK17)),tptp1) ),
introduced(definition,[new_symbols(definition,[spl18_24])],[avatar_definition]) ).
fof(f481,plain,
( occurrence_of(sK16(sK14(sK17)),tptp1)
| ~ spl18_24 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f482,plain,
( spl18_24
| spl18_23
| ~ spl18_9 ),
inference(avatar_split_clause,[],[f471,f300,f476,f480]) ).
fof(f485,plain,
( ~ subactivity_occurrence(sK14(sK17),sK17)
| ~ spl18_23 ),
inference(resolution,[],[f477,f213]) ).
fof(f487,plain,
( $false
| ~ spl18_8
| ~ spl18_23 ),
inference(forward_subsumption_resolution,[],[f485,f461]) ).
fof(f488,plain,
( ~ spl18_8
| ~ spl18_23 ),
inference(avatar_contradiction_clause,[],[f487]) ).
fof(f491,plain,
( ! [X0] :
( ~ occurrence_of(sK16(sK14(sK17)),X0)
| tptp1 = X0 )
| ~ spl18_24 ),
inference(resolution,[],[f481,f172]) ).
fof(f493,plain,
( min_precedes(sK14(sK17),sK16(sK14(sK17)),tptp0)
| ~ spl18_22 ),
inference(resolution,[],[f474,f134]) ).
fof(f498,plain,
( ! [X0] :
( ~ root_occ(sK16(sK14(sK17)),X0)
| ~ occurrence_of(X0,tptp0) )
| ~ spl18_22 ),
inference(resolution,[],[f493,f170]) ).
fof(f500,plain,
( occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),tptp0)
| ~ spl18_22 ),
inference(resolution,[],[f493,f177]) ).
fof(f505,plain,
( ! [X0,X1] :
( atomic(X0)
| ~ leaf_occ(X1,sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))
| sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))) = X1
| ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),X0) )
| ~ spl18_22 ),
inference(resolution,[],[f500,f243]) ).
fof(f507,plain,
( occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),sK1(sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))))
| ~ spl18_22 ),
inference(resolution,[],[f500,f286]) ).
fof(f513,plain,
( ! [X0] :
( ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),X0)
| tptp0 = X0 )
| ~ spl18_22 ),
inference(resolution,[],[f500,f172]) ).
fof(f536,definition,
( spl18_31
<=> ! [X1] :
( ~ leaf_occ(X1,sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))
| sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))) = X1 ) ),
introduced(definition,[new_symbols(definition,[spl18_31])],[avatar_definition]) ).
fof(f537,plain,
( ! [X1] :
( ~ leaf_occ(X1,sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))
| sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))) = X1 )
| ~ spl18_31 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f539,definition,
( spl18_32
<=> ! [X0] :
( atomic(X0)
| ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),X0) ) ),
introduced(definition,[new_symbols(definition,[spl18_32])],[avatar_definition]) ).
fof(f540,plain,
( ! [X0] :
( ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),X0)
| atomic(X0) )
| ~ spl18_32 ),
inference(avatar_component_clause,[],[f539]) ).
fof(f541,plain,
( spl18_31
| spl18_32
| ~ spl18_22 ),
inference(avatar_split_clause,[],[f505,f473,f539,f536]) ).
fof(f578,plain,
( tptp0 = sK1(sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))
| ~ spl18_22 ),
inference(resolution,[],[f513,f507]) ).
fof(f858,plain,
( arboreal(sK16(sK14(sK17)))
| ~ spl18_22 ),
inference(resolution,[],[f137,f474]) ).
fof(f864,plain,
( ! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK16(sK14(sK17)),X0)
| root_occ(sK16(sK14(sK17)),X0)
| leaf_occ(sK16(sK14(sK17)),X0) )
| ~ spl18_22 ),
inference(resolution,[],[f858,f210]) ).
fof(f865,plain,
( ! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK16(sK14(sK17)),X0)
| leaf_occ(sK16(sK14(sK17)),X0) )
| ~ spl18_22 ),
inference(forward_subsumption_resolution,[],[f864,f498]) ).
fof(f870,definition,
( spl18_49
<=> ! [X0] :
( ~ occurrence_of(X0,tptp0)
| leaf_occ(sK16(sK14(sK17)),X0)
| ~ subactivity_occurrence(sK16(sK14(sK17)),X0) ) ),
introduced(definition,[new_symbols(definition,[spl18_49])],[avatar_definition]) ).
fof(f871,plain,
( ! [X0] :
( ~ subactivity_occurrence(sK16(sK14(sK17)),X0)
| leaf_occ(sK16(sK14(sK17)),X0)
| ~ occurrence_of(X0,tptp0) )
| ~ spl18_49 ),
inference(avatar_component_clause,[],[f870]) ).
fof(f877,plain,
( spl18_49
| ~ spl18_22 ),
inference(avatar_split_clause,[],[f865,f473,f870]) ).
fof(f878,plain,
( ! [X0,X1] :
( ~ occurrence_of(sK8(X0,X1,sK16(sK14(sK17))),tptp0)
| leaf_occ(sK16(sK14(sK17)),sK8(X0,X1,sK16(sK14(sK17))))
| ~ min_precedes(X1,sK16(sK14(sK17)),X0) )
| ~ spl18_49 ),
inference(resolution,[],[f871,f175]) ).
fof(f880,plain,
( leaf_occ(sK16(sK14(sK17)),sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))
| ~ min_precedes(sK14(sK17),sK16(sK14(sK17)),tptp0)
| ~ spl18_22
| ~ spl18_49 ),
inference(resolution,[],[f878,f500]) ).
fof(f881,plain,
( leaf_occ(sK16(sK14(sK17)),sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))
| ~ spl18_22
| ~ spl18_49 ),
inference(forward_subsumption_resolution,[],[f880,f493]) ).
fof(f882,plain,
( sK16(sK14(sK17)) = sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))
| ~ spl18_22
| ~ spl18_31
| ~ spl18_49 ),
inference(resolution,[],[f881,f537]) ).
fof(f899,plain,
( occurrence_of(sK16(sK14(sK17)),tptp3)
| ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),tptp0)
| ~ spl18_22
| ~ spl18_31
| ~ spl18_49 ),
inference(superposition,[],[f194,f882]) ).
fof(f904,plain,
( occurrence_of(sK16(sK14(sK17)),tptp3)
| ~ spl18_22
| ~ spl18_31
| ~ spl18_49 ),
inference(forward_subsumption_resolution,[],[f899,f500]) ).
fof(f913,plain,
( tptp3 = tptp1
| ~ spl18_22
| ~ spl18_24
| ~ spl18_31
| ~ spl18_49 ),
inference(resolution,[],[f904,f491]) ).
fof(f921,plain,
( $false
| ~ spl18_22
| ~ spl18_24
| ~ spl18_31
| ~ spl18_49 ),
inference(forward_subsumption_resolution,[],[f913,f206]) ).
fof(f922,plain,
( ~ spl18_22
| ~ spl18_24
| ~ spl18_31
| ~ spl18_49 ),
inference(avatar_contradiction_clause,[],[f921]) ).
fof(f928,plain,
( atomic(sK1(sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))))
| ~ spl18_22
| ~ spl18_32 ),
inference(resolution,[],[f540,f507]) ).
fof(f936,plain,
( atomic(tptp0)
| ~ spl18_22
| ~ spl18_32 ),
inference(forward_demodulation,[],[f928,f578]) ).
fof(f945,plain,
( $false
| ~ spl18_22
| ~ spl18_32 ),
inference(forward_subsumption_resolution,[],[f936,f198]) ).
fof(f946,plain,
( ~ spl18_22
| ~ spl18_32 ),
inference(avatar_contradiction_clause,[],[f945]) ).
cnf(s9,plain,
( ~ spl18_8
| spl18_9 ),
inference(sat_conversion,[],[f302]) ).
cnf(s11,plain,
spl18_8,
inference(sat_conversion,[],[f311]) ).
cnf(s31,plain,
( ~ spl18_9
| spl18_22
| spl18_23 ),
inference(sat_conversion,[],[f478]) ).
cnf(s32,plain,
( ~ spl18_9
| spl18_23
| spl18_24 ),
inference(sat_conversion,[],[f482]) ).
cnf(s34,plain,
( ~ spl18_8
| ~ spl18_23 ),
inference(sat_conversion,[],[f488]) ).
cnf(s38,plain,
( ~ spl18_22
| spl18_31
| spl18_32 ),
inference(sat_conversion,[],[f541]) ).
cnf(s64,plain,
( ~ spl18_22
| spl18_49 ),
inference(sat_conversion,[],[f877]) ).
cnf(s69,plain,
( ~ spl18_22
| ~ spl18_24
| ~ spl18_31
| ~ spl18_49 ),
inference(sat_conversion,[],[f922]) ).
cnf(s75,plain,
( ~ spl18_22
| ~ spl18_32 ),
inference(sat_conversion,[],[f946]) ).
cnf(s82,plain,
~ spl18_23,
inference(rat,[],[s34,s11]) ).
cnf(s83,plain,
spl18_9,
inference(rat,[],[s9,s11]) ).
cnf(s84,plain,
spl18_24,
inference(rat,[],[s32,s82,s83]) ).
cnf(s85,plain,
spl18_22,
inference(rat,[],[s31,s82,s83]) ).
cnf(s86,plain,
~ spl18_32,
inference(rat,[],[s75,s85]) ).
cnf(s87,plain,
spl18_49,
inference(rat,[],[s64,s85]) ).
cnf(s91,plain,
spl18_31,
inference(rat,[],[s38,s86,s85]) ).
cnf(s93,plain,
$false,
inference(rat,[],[s69,s85,s84,s87,s91]) ).
fof(f947,plain,
$false,
inference(avatar_sat_refutation,[],[s93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PRO004+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.38 % Computer : n020.cluster.edu
% 0.08/0.38 % Model : x86_64 x86_64
% 0.08/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.38 % Memory : 8046.5625MB
% 0.08/0.38 % OS : Linux 6.8.0-71-generic
% 0.08/0.38 % CPULimit : 300
% 0.08/0.38 % WCLimit : 300
% 0.08/0.38 % DateTime : Sun Sep 27 22:17:34 UTC 2026
% 0.08/0.38 % CPUTime :
% 0.08/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.41 Running first-order theorem proving
% 0.08/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.53/1.98 % (3819641)Detected formulas, will run a generic FOF schedule.
% 6.53/1.98 % (3819652)dis-21_1_sil=8000:lcm=predicate:random_seed=2792950283: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)
% 6.53/1.98 % (3819652)Instruction limit reached!
% 6.53/1.98 % (3819652)------------------------------
% 6.53/1.98 % (3819652)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.98 % (3819652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.98 % (3819652)CaDiCaL version: 2.1.3
% 6.53/1.98 % (3819652)Termination reason: Instruction limit
% 6.53/1.98 % (3819652)Termination phase: Saturation
% 6.53/1.98 % (3819652)Time elapsed: 0.034 s
% 6.53/1.98 % (3819652)Peak memory usage: 89 MB
% 6.53/1.98 % (3819652)Instructions burned: 134 (million)
% 6.53/1.98 % (3819651)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3654025513:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.53/1.98 % (3819650)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=147657369:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.53/1.98 % (3819646)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=2332493699:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.53/1.98 % (3819649)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4210493942:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.53/1.98 % (3819648)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=2207270031:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.53/1.98 % (3819647)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=2134508841:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.53/1.98 % (3819650)Refutation not found, incomplete strategy
% 6.53/1.98 % (3819650)------------------------------
% 6.53/1.98 % (3819650)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.98 % (3819650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.98 % (3819650)CaDiCaL version: 2.1.3
% 6.53/1.98 % (3819649)Refutation not found, incomplete strategy
% 6.53/1.98 % (3819649)------------------------------
% 6.53/1.98 % (3819649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.98 % (3819649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.98 % (3819650)Termination reason: Refutation not found, incomplete strategy
% 6.53/1.98 % (3819650)Time elapsed: 0.001 s
% 6.53/1.98 % (3819650)Peak memory usage: 86 MB
% 6.53/1.98 % (3819649)CaDiCaL version: 2.1.3
% 6.53/1.98 % (3819649)Termination reason: Refutation not found, incomplete strategy
% 6.53/1.98 % (3819649)Time elapsed: 0.0000 s
% 6.53/1.98 % (3819649)Peak memory usage: 86 MB
% 6.53/1.98 % (3819651)Instruction limit reached!
% 6.53/1.98 % (3819651)------------------------------
% 6.53/1.98 % (3819651)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.98 % (3819651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.98 % (3819651)CaDiCaL version: 2.1.3
% 6.53/1.98 % (3819651)Termination reason: Instruction limit
% 6.53/1.98 % (3819651)Termination phase: Saturation
% 6.53/1.98 % (3819651)Time elapsed: 0.057 s
% 6.53/1.98 % (3819651)Peak memory usage: 89 MB
% 6.53/1.98 % (3819651)Instructions burned: 142 (million)
% 6.53/1.98 % (3819660)lrs+10_1_sil=8000:sp=occurrence:random_seed=3867247317:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.53/1.98 % (3819661)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3272971515:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.53/1.98 % (3819661)Refutation not found, incomplete strategy
% 6.53/1.98 % (3819661)------------------------------
% 6.53/1.98 % (3819661)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.98 % (3819661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.98 % (3819661)CaDiCaL version: 2.1.3
% 6.53/1.98 % (3819661)Termination reason: Refutation not found, incomplete strategy
% 6.53/1.98 % (3819661)Time elapsed: 0.001 s
% 6.53/1.98 % (3819661)Peak memory usage: 88 MB
% 6.53/1.98 % (3819650)------------------------------
% 6.53/1.98 % (3819650)------------------------------
% 6.53/1.98 % (3819649)------------------------------
% 6.53/1.98 % (3819649)------------------------------
% 6.53/1.98 % (3819661)------------------------------
% 6.53/1.98 % (3819661)------------------------------
% 6.53/1.98 % (3819660)Instruction limit reached!
% 6.53/1.98 % (3819660)------------------------------
% 6.53/1.98 % (3819660)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.98 % (3819660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.98 % (3819660)CaDiCaL version: 2.1.3
% 6.53/1.98 % (3819660)Termination reason: Instruction limit
% 6.53/1.98 % (3819660)Termination phase: Saturation
% 6.53/1.98 % (3819660)Time elapsed: 0.185 s
% 6.53/1.98 % (3819660)Peak memory usage: 91 MB
% 6.53/1.98 % (3819660)Instructions burned: 286 (million)
% 6.53/1.98 % (3819664)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2613251757:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 6.53/1.98 % (3819665)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=893353427:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.53/1.98 % (3819666)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1568847350:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.53/1.98 % (3819667)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3830189423:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.53/1.98 % (3819666)Instruction limit reached!
% 6.53/1.98 % (3819666)------------------------------
% 6.53/1.98 % (3819666)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.98 % (3819666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.98 % (3819666)CaDiCaL version: 2.1.3
% 6.53/1.98 % (3819666)Termination reason: Instruction limit
% 6.53/1.98 % (3819666)Termination phase: Saturation
% 6.53/1.98 % (3819666)Time elapsed: 0.084 s
% 6.53/1.98 % (3819666)Peak memory usage: 88 MB
% 6.53/1.98 % (3819666)Instructions burned: 295 (million)
% 6.53/1.98 % (3819665)Instruction limit reached!
% 6.53/1.98 % (3819665)------------------------------
% 6.53/1.98 % (3819665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.98 % (3819665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.98 % (3819665)CaDiCaL version: 2.1.3
% 6.53/1.98 % (3819665)Termination reason: Instruction limit
% 6.53/1.98 % (3819665)Termination phase: Saturation
% 6.53/1.98 % (3819665)Time elapsed: 0.147 s
% 6.53/1.98 % (3819665)Peak memory usage: 90 MB
% 6.53/1.98 % (3819665)Instructions burned: 249 (million)
% 6.53/1.98 % (3819664)Instruction limit reached!
% 6.53/1.98 % (3819664)------------------------------
% 6.53/1.98 % (3819664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.98 % (3819664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.98 % (3819664)CaDiCaL version: 2.1.3
% 6.53/1.98 % (3819664)Termination reason: Instruction limit
% 6.53/1.98 % (3819664)Termination phase: Saturation
% 6.53/1.98 % (3819664)Time elapsed: 0.195 s
% 6.53/1.98 % (3819664)Peak memory usage: 91 MB
% 6.53/1.98 % (3819664)Instructions burned: 325 (million)
% 6.53/1.98 % (3819673)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=41397139:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.53/1.98 % (3819672)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3498911304:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.53/1.98 % (3819674)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=152084359:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.53/1.98 % (3819674)Refutation not found, incomplete strategy
% 6.53/1.98 % (3819674)------------------------------
% 6.53/1.98 % (3819674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.98 % (3819674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.98 % (3819674)CaDiCaL version: 2.1.3
% 6.53/1.98 % (3819674)Termination reason: Refutation not found, incomplete strategy
% 6.53/1.98 % (3819674)Time elapsed: 0.001 s
% 6.53/1.98 % (3819674)Peak memory usage: 87 MB
% 6.53/1.98 % (3819647)First to succeed.
% 6.53/1.98 % (3819673)Instruction limit reached!
% 6.53/1.98 % (3819673)------------------------------
% 6.53/1.98 % (3819673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.98 % (3819673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.98 % (3819673)CaDiCaL version: 2.1.3
% 6.53/1.98 % (3819673)Termination reason: Instruction limit
% 6.53/1.98 % (3819673)Termination phase: Saturation
% 6.53/1.98 % (3819673)Time elapsed: 0.066 s
% 6.53/1.98 % (3819673)Peak memory usage: 89 MB
% 6.53/1.98 % (3819673)Instructions burned: 128 (million)
% 6.53/1.98 % (3819646)Also succeeded, but the first one will report.
% 6.53/1.98 % (3819647)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3819641"
% 6.53/1.98 % (3819672)Instruction limit reached!
% 6.53/1.98 % (3819672)------------------------------
% 6.53/1.98 % (3819672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.98 % (3819672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.98 % (3819672)CaDiCaL version: 2.1.3
% 6.53/1.98 % (3819672)Termination reason: Instruction limit
% 6.53/1.98 % (3819672)Termination phase: Saturation
% 6.53/1.98 % (3819672)Time elapsed: 0.083 s
% 6.53/1.98 % (3819672)Peak memory usage: 90 MB
% 6.53/1.98 % (3819672)Instructions burned: 114 (million)
% 6.53/1.98 % (3819678)lrs+10_1_sil=8000:sp=occurrence:random_seed=1169305136:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.53/1.98 % (3819679)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2931770377:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.53/1.98 % (3819679)Refutation not found, incomplete strategy
% 6.53/1.98 % (3819679)------------------------------
% 6.53/1.98 % (3819679)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.98 % (3819679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.98 % (3819679)CaDiCaL version: 2.1.3
% 6.53/1.98 % (3819679)Termination reason: Refutation not found, incomplete strategy
% 6.53/1.98 % (3819679)Time elapsed: 0.004 s
% 6.53/1.98 % (3819679)Peak memory usage: 88 MB
% 6.53/1.98 % (3819679)Instructions burned: 5 (million)
% 6.53/1.98 % (3819674)------------------------------
% 6.53/1.98 % (3819674)------------------------------
% 6.53/1.98 % (3819682)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=449219142:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 6.53/1.98 % (3819647)Refutation found. Thanks to Tanya!
% 6.53/1.98 % SZS status Theorem for theBenchmark
% 6.53/1.98 % SZS output start Proof for theBenchmark
% See solution above
% 8.54/2.18 % (3819647)------------------------------
% 8.54/2.18 % (3819647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.54/2.18 % (3819647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/2.18 % (3819647)CaDiCaL version: 2.1.3
% 8.54/2.18 % (3819647)Termination reason: Refutation
% 8.54/2.18 % (3819647)Time elapsed: 0.721 s
% 8.54/2.18 % (3819647)Peak memory usage: 130 MB
% 8.54/2.18 % (3819647)Instructions burned: 1069 (million)
% 8.54/2.18 % (3819647)------------------------------
% 8.54/2.18 % (3819647)------------------------------
% 8.54/2.18 % (3819641)Success in time 1.129 s
% 8.54/2.18 % Vampire exiting
%------------------------------------------------------------------------------