%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PRO003+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 : n002.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 12:30:32 PM UTC 2026
% Result : Theorem 80.73s 11.89s
% Output : Refutation 80.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 14
% Syntax : Number of formulae : 99 ( 34 unt; 0 def)
% Number of atoms : 319 ( 20 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 360 ( 140 ~; 139 |; 68 &)
% ( 6 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 186 ( 164 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( occurrence_of(X2,X3)
& root_occ(X0,X2)
& root_occ(X1,X2) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
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(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(f12,axiom,
! [X0,X1] :
( leaf_occ(X0,X1)
<=> ? [X2] :
( occurrence_of(X1,X2)
& subactivity_occurrence(X0,X1)
& leaf(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_11) ).
fof(f14,axiom,
! [X0,X1] :
( occurrence_of(X0,X1)
=> ( arboreal(X0)
<=> atomic(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_13) ).
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(f29,axiom,
! [X0,X1,X2,X3] :
( ( occurrence_of(X1,X0)
& arboreal(X2)
& arboreal(X3)
& subactivity_occurrence(X2,X1)
& subactivity_occurrence(X3,X1) )
=> ( min_precedes(X2,X3,X0)
| min_precedes(X3,X2,X0)
| X2 = X3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_28) ).
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(f37,axiom,
atomic(tptp3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_36) ).
fof(f39,axiom,
atomic(tptp1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_38) ).
fof(f43,axiom,
tptp1 != tptp3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_42) ).
fof(f46,axiom,
! [X0,X1] :
( ( occurrence_of(X1,tptp0)
& root_occ(X0,X1) )
=> ? [X2] :
( occurrence_of(X2,tptp1)
& next_subocc(X0,X2,tptp0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_45) ).
fof(f47,conjecture,
~ ? [X0] : occurrence_of(X0,tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f48,negated_conjecture,
~ ~ ? [X0] : occurrence_of(X0,tptp0),
inference(negated_conjecture,[status(cth)],[f47]) ).
fof(f49,plain,
? [X0] : occurrence_of(X0,tptp0),
inference(flattening,[],[f48]) ).
fof(f55,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ occurrence_of(X2,X3)
| ~ root_occ(X0,X2)
| ~ root_occ(X1,X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f56,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ occurrence_of(X2,X3)
| ~ root_occ(X0,X2)
| ~ root_occ(X1,X2) ),
inference(flattening,[],[f55]) ).
fof(f59,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(f66,plain,
! [X0,X1] :
( ( arboreal(X0)
<=> atomic(X1) )
| ~ occurrence_of(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
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(f86,plain,
! [X0,X1,X2,X3] :
( min_precedes(X2,X3,X0)
| min_precedes(X3,X2,X0)
| X2 = X3
| ~ occurrence_of(X1,X0)
| ~ arboreal(X2)
| ~ arboreal(X3)
| ~ subactivity_occurrence(X2,X1)
| ~ subactivity_occurrence(X3,X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f87,plain,
! [X0,X1,X2,X3] :
( min_precedes(X2,X3,X0)
| min_precedes(X3,X2,X0)
| X2 = X3
| ~ occurrence_of(X1,X0)
| ~ arboreal(X2)
| ~ arboreal(X3)
| ~ subactivity_occurrence(X2,X1)
| ~ subactivity_occurrence(X3,X1) ),
inference(flattening,[],[f86]) ).
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(f93,plain,
! [X0,X1] :
( ? [X2] :
( occurrence_of(X2,tptp1)
& next_subocc(X0,X2,tptp0) )
| ~ occurrence_of(X1,tptp0)
| ~ root_occ(X0,X1) ),
inference(ennf_transformation,[],[f46]) ).
fof(f94,plain,
! [X0,X1] :
( ? [X2] :
( occurrence_of(X2,tptp1)
& next_subocc(X0,X2,tptp0) )
| ~ occurrence_of(X1,tptp0)
| ~ root_occ(X0,X1) ),
inference(flattening,[],[f93]) ).
fof(f95,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,[],[f59]) ).
fof(f96,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,[],[f95]) ).
fof(f97,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,[],[f96]) ).
fof(f98,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))],[f97]) ).
fof(f99,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(f100,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,[],[f99]) ).
fof(f101,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))],[f100]) ).
fof(f102,plain,
! [X0,X1] :
( ( leaf_occ(X0,X1)
| ! [X2] :
( ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ leaf(X0,X2) ) )
& ( ? [X2] :
( occurrence_of(X1,X2)
& subactivity_occurrence(X0,X1)
& leaf(X0,X2) )
| ~ leaf_occ(X0,X1) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f103,plain,
! [X0,X1] :
( ( leaf_occ(X0,X1)
| ! [X2] :
( ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ leaf(X0,X2) ) )
& ( ? [X3] :
( occurrence_of(X1,X3)
& subactivity_occurrence(X0,X1)
& leaf(X0,X3) )
| ~ leaf_occ(X0,X1) ) ),
inference(rectify,[],[f102]) ).
fof(f104,plain,
! [X0,X1] :
( ( leaf_occ(X0,X1)
| ! [X2] :
( ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ leaf(X0,X2) ) )
& ( ( occurrence_of(X1,sK2(X0,X1))
& subactivity_occurrence(X0,X1)
& leaf(X0,sK2(X0,X1)) )
| ~ leaf_occ(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X3,sK2(X0,X1))],[f103]) ).
fof(f105,plain,
! [X0,X1] :
( ( ( arboreal(X0)
| ~ atomic(X1) )
& ( atomic(X1)
| ~ arboreal(X0) ) )
| ~ occurrence_of(X0,X1) ),
inference(nnf_transformation,[],[f66]) ).
fof(f115,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(f120,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(f121,plain,
! [X0,X1] :
( ( occurrence_of(sK16(X0),tptp1)
& next_subocc(X0,sK16(X0),tptp0) )
| ~ occurrence_of(X1,tptp0)
| ~ root_occ(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X2,sK16(X0))],[f94]) ).
fof(f122,plain,
occurrence_of(sK17,tptp0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(X0,sK17)],[f49]) ).
fof(f125,plain,
! [X2,X3,X0,X1] :
( ~ root_occ(X1,X2)
| ~ occurrence_of(X2,X3)
| ~ root_occ(X0,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f56]) ).
fof(f127,plain,
! [X2,X0,X1,X4] :
( ~ next_subocc(X0,X1,X2)
| ~ min_precedes(X4,X1,X2)
| ~ min_precedes(X0,X4,X2) ),
inference(cnf_transformation,[],[f98]) ).
fof(f128,plain,
! [X2,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f98]) ).
fof(f138,plain,
! [X0,X1] :
( root(X0,sK1(X0,X1))
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f140,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| occurrence_of(X1,sK1(X0,X1)) ),
inference(cnf_transformation,[],[f101]) ).
fof(f141,plain,
! [X2,X0,X1] :
( ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2)
| root_occ(X0,X1)
| ~ root(X0,X2) ),
inference(cnf_transformation,[],[f101]) ).
fof(f143,plain,
! [X0,X1] :
( ~ leaf_occ(X0,X1)
| subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f148,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ~ atomic(X1)
| arboreal(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f165,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f78]) ).
fof(f168,plain,
! [X2,X0,X1] :
( subactivity_occurrence(X2,sK8(X0,X1,X2))
| ~ min_precedes(X1,X2,X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f169,plain,
! [X2,X0,X1] :
( subactivity_occurrence(X1,sK8(X0,X1,X2))
| ~ min_precedes(X1,X2,X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f170,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| occurrence_of(sK8(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f179,plain,
! [X2,X3,X0,X1] :
( ~ subactivity_occurrence(X3,X1)
| min_precedes(X3,X2,X0)
| X2 = X3
| ~ occurrence_of(X1,X0)
| ~ arboreal(X2)
| ~ arboreal(X3)
| ~ subactivity_occurrence(X2,X1)
| min_precedes(X2,X3,X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f185,plain,
! [X0] :
( next_subocc(sK14(X0),sK15(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f186,plain,
! [X0] :
( leaf_occ(sK15(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f187,plain,
! [X0] :
( occurrence_of(sK15(X0),tptp3)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f188,plain,
! [X0] :
( root_occ(sK14(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f193,plain,
atomic(tptp3),
inference(cnf_transformation,[],[f37]) ).
fof(f195,plain,
atomic(tptp1),
inference(cnf_transformation,[],[f39]) ).
fof(f199,plain,
tptp3 != tptp1,
inference(cnf_transformation,[],[f43]) ).
fof(f202,plain,
! [X0,X1] :
( next_subocc(X0,sK16(X0),tptp0)
| ~ occurrence_of(X1,tptp0)
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[],[f121]) ).
fof(f203,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| ~ occurrence_of(X1,tptp0)
| occurrence_of(sK16(X0),tptp1) ),
inference(cnf_transformation,[],[f121]) ).
fof(f204,plain,
occurrence_of(sK17,tptp0),
inference(cnf_transformation,[],[f122]) ).
fof(f242,plain,
! [X0] :
( subactivity_occurrence(sK15(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f186,f143]) ).
fof(f255,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ atomic(tptp3)
| arboreal(sK15(X0)) ),
inference(resolution,[],[f187,f148]) ).
fof(f259,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| arboreal(sK15(X0)) ),
inference(forward_subsumption_resolution,[],[f255,f193]) ).
fof(f287,plain,
root_occ(sK14(sK17),sK17),
inference(unit_resulting_resolution,[],[f188,f204]) ).
fof(f378,plain,
root(sK14(sK17),sK1(sK14(sK17),sK17)),
inference(unit_resulting_resolution,[],[f138,f287]) ).
fof(f394,plain,
occurrence_of(sK17,sK1(sK14(sK17),sK17)),
inference(unit_resulting_resolution,[],[f140,f287]) ).
fof(f717,plain,
tptp0 = sK1(sK14(sK17),sK17),
inference(unit_resulting_resolution,[],[f165,f394,f204]) ).
fof(f959,plain,
root(sK14(sK17),tptp0),
inference(superposition,[],[f378,f717]) ).
fof(f1178,plain,
! [X0] :
( min_precedes(sK14(X0),sK15(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f185,f128]) ).
fof(f3547,plain,
occurrence_of(sK16(sK14(sK17)),tptp1),
inference(unit_resulting_resolution,[],[f203,f287,f204]) ).
fof(f3556,plain,
arboreal(sK16(sK14(sK17))),
inference(unit_resulting_resolution,[],[f148,f195,f3547]) ).
fof(f4162,plain,
next_subocc(sK14(sK17),sK16(sK14(sK17)),tptp0),
inference(unit_resulting_resolution,[],[f202,f287,f204]) ).
fof(f4229,plain,
min_precedes(sK14(sK17),sK16(sK14(sK17)),tptp0),
inference(unit_resulting_resolution,[],[f128,f4162]) ).
fof(f4250,plain,
subactivity_occurrence(sK16(sK14(sK17)),sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),
inference(unit_resulting_resolution,[],[f168,f4229]) ).
fof(f4251,plain,
subactivity_occurrence(sK14(sK17),sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),
inference(unit_resulting_resolution,[],[f169,f4229]) ).
fof(f4252,plain,
occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),tptp0),
inference(unit_resulting_resolution,[],[f170,f4229]) ).
fof(f4554,plain,
! [X2,X0,X1] :
( ~ root_occ(X2,X0)
| ~ occurrence_of(X0,X1)
| sK14(X0) = X2
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f125,f188]) ).
fof(f4562,plain,
occurrence_of(sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),tptp3),
inference(unit_resulting_resolution,[],[f187,f4252]) ).
fof(f4856,plain,
! [X0] :
( ~ min_precedes(X0,sK16(sK14(sK17)),tptp0)
| ~ min_precedes(sK14(sK17),X0,tptp0) ),
inference(resolution,[],[f127,f4162]) ).
fof(f5182,plain,
root_occ(sK14(sK17),sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),
inference(unit_resulting_resolution,[],[f141,f959,f4252,f4251]) ).
fof(f5207,plain,
~ occurrence_of(sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),tptp1),
inference(unit_resulting_resolution,[],[f165,f199,f4562]) ).
fof(f8152,plain,
! [X2,X0,X1] :
( min_precedes(sK15(X0),X1,X2)
| sK15(X0) = X1
| ~ occurrence_of(X0,X2)
| ~ arboreal(X1)
| ~ arboreal(sK15(X0))
| ~ subactivity_occurrence(X1,X0)
| min_precedes(X1,sK15(X0),X2)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f179,f242]) ).
fof(f8186,plain,
! [X2,X0,X1] :
( ~ subactivity_occurrence(X1,X0)
| sK15(X0) = X1
| ~ occurrence_of(X0,X2)
| ~ arboreal(X1)
| min_precedes(sK15(X0),X1,X2)
| min_precedes(X1,sK15(X0),X2)
| ~ occurrence_of(X0,tptp0) ),
inference(forward_subsumption_resolution,[],[f8152,f259]) ).
fof(f16412,plain,
sK14(sK17) = sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),
inference(unit_resulting_resolution,[],[f4554,f4252,f5182,f4252]) ).
fof(f16539,plain,
( next_subocc(sK14(sK17),sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),tptp0)
| ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),tptp0) ),
inference(superposition,[],[f185,f16412]) ).
fof(f16545,plain,
( min_precedes(sK14(sK17),sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),tptp0)
| ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),tptp0) ),
inference(superposition,[],[f1178,f16412]) ).
fof(f16567,plain,
min_precedes(sK14(sK17),sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),tptp0),
inference(forward_subsumption_resolution,[],[f16545,f4252]) ).
fof(f16569,plain,
next_subocc(sK14(sK17),sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),tptp0),
inference(forward_subsumption_resolution,[],[f16539,f4252]) ).
fof(f16854,plain,
~ min_precedes(sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK16(sK14(sK17)),tptp0),
inference(unit_resulting_resolution,[],[f4856,f16567]) ).
fof(f17016,plain,
~ min_precedes(sK16(sK14(sK17)),sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),tptp0),
inference(unit_resulting_resolution,[],[f127,f4229,f16569]) ).
fof(f58521,plain,
sK16(sK14(sK17)) = sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),
inference(unit_resulting_resolution,[],[f8186,f3556,f4252,f4252,f4250,f17016,f16854]) ).
fof(f58654,plain,
~ occurrence_of(sK16(sK14(sK17)),tptp1),
inference(superposition,[],[f5207,f58521]) ).
fof(f58837,plain,
$false,
inference(forward_subsumption_resolution,[],[f58654,f3547]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PRO003+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36 % Computer : n002.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 22:19:06 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40 Running first-order model finding
% 0.09/0.40 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
% 17.67/2.92 % (3946399)Will run a generic schedule for satisfiability detection.
% 17.67/2.92 % (3946407)dis+10_1_sil=32000:sp=arity:random_seed=2895875045:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 17.67/2.92 % (3946405)% WARNING: option uhcvi not known.
% 17.67/2.92 % (3946404)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1210937148_2999 on theBenchmark for (2999ds/0Mi)
% 17.67/2.92 % (3946408)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3156087099:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 17.67/2.92 % (3946406)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3646211178:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 17.67/2.92 % (3946409)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3962257484:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 17.67/2.92 % (3946410)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=178400359:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 17.67/2.92 % (3946405)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1409447855:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 17.67/2.92 % Detected minimum model sizes of [4]
% 17.67/2.92 % Detected maximum model sizes of [max]
% 17.67/2.92 % TRYING [4]
% 17.67/2.92 % TRYING [5]
% 17.67/2.92 % (3946407)Instruction limit reached!
% 17.67/2.92 % (3946407)------------------------------
% 17.67/2.92 % (3946407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.67/2.92 % (3946407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.67/2.92 % (3946407)CaDiCaL version: 2.1.3
% 17.67/2.92 % (3946407)Termination reason: Instruction limit
% 17.67/2.92 % (3946407)Termination phase: Saturation
% 17.67/2.92 % (3946407)Time elapsed: 0.042 s
% 17.67/2.92 % (3946407)Peak memory usage: 13 MB
% 17.67/2.92 % (3946407)Instructions burned: 103 (million)
% 17.67/2.92 % TRYING [6]
% 17.67/2.92 % (3946418)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2607793926:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 17.67/2.92 % Detected minimum model sizes of [4]
% 17.67/2.92 % Detected maximum model sizes of [max]
% 17.67/2.92 % TRYING [4]
% 17.67/2.92 % TRYING [5]
% 17.67/2.92 % TRYING [6]
% 17.67/2.92 % (3946408)Instruction limit reached!
% 17.67/2.92 % (3946408)------------------------------
% 17.67/2.92 % (3946408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.67/2.92 % (3946408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.67/2.92 % (3946408)CaDiCaL version: 2.1.3
% 17.67/2.92 % (3946408)Termination reason: Instruction limit
% 17.67/2.92 % (3946408)Termination phase: Saturation
% 17.67/2.92 % (3946408)Time elapsed: 0.076 s
% 17.67/2.92 % (3946408)Peak memory usage: 13 MB
% 17.67/2.92 % (3946408)Instructions burned: 117 (million)
% 17.67/2.92 % (3946409)Instruction limit reached!
% 17.67/2.92 % (3946409)------------------------------
% 17.67/2.92 % (3946409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.67/2.92 % (3946409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.67/2.92 % (3946409)CaDiCaL version: 2.1.3
% 17.67/2.92 % (3946409)Termination reason: Instruction limit
% 17.67/2.92 % (3946409)Termination phase: Saturation
% 17.67/2.92 % (3946409)Time elapsed: 0.086 s
% 17.67/2.92 % (3946409)Peak memory usage: 13 MB
% 17.67/2.92 % (3946409)Instructions burned: 131 (million)
% 17.67/2.92 % (3946420)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2553139729:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 17.67/2.92 % (3946421)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3247910437:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 17.67/2.92 % (3946410)Instruction limit reached!
% 17.67/2.92 % (3946410)------------------------------
% 17.67/2.92 % (3946410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.67/2.92 % (3946410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.67/2.92 % (3946410)CaDiCaL version: 2.1.3
% 17.67/2.92 % (3946410)Termination reason: Instruction limit
% 17.67/2.92 % (3946410)Termination phase: Saturation
% 17.67/2.92 % (3946410)Time elapsed: 0.115 s
% 17.67/2.92 % (3946410)Peak memory usage: 14 MB
% 17.67/2.92 % (3946410)Instructions burned: 159 (million)
% 17.67/2.92 % TRYING [7]
% 17.67/2.92 % (3946424)ott-21_1_sil=16000:fs=off:random_seed=1036009530:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 17.67/2.92 % TRYING [7]
% 17.67/2.92 % (3946420)Instruction limit reached!
% 37.46/6.48 % (3946420)------------------------------
% 37.46/6.48 % (3946420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.46/6.48 % (3946420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.46/6.48 % (3946420)CaDiCaL version: 2.1.3
% 37.46/6.48 % (3946420)Termination reason: Instruction limit
% 37.46/6.48 % (3946420)Termination phase: Saturation
% 37.46/6.48 % (3946420)Time elapsed: 0.090 s
% 37.46/6.48 % (3946420)Peak memory usage: 13 MB
% 37.46/6.48 % (3946420)Instructions burned: 132 (million)
% 37.46/6.48 % (3946426)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3876180557:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 37.46/6.48 % (3946418)Instruction limit reached!
% 37.46/6.48 % (3946418)------------------------------
% 37.46/6.48 % (3946418)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.46/6.48 % (3946418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.46/6.48 % (3946418)CaDiCaL version: 2.1.3
% 37.46/6.48 % (3946418)Termination reason: Instruction limit
% 37.46/6.48 % (3946418)Termination phase: Finite model building SAT solving
% 37.46/6.48 % (3946418)Time elapsed: 0.183 s
% 37.46/6.48 % (3946418)Peak memory usage: 31 MB
% 37.46/6.48 % (3946418)Instructions burned: 716 (million)
% 37.46/6.48 % (3946424)Instruction limit reached!
% 37.46/6.48 % (3946424)------------------------------
% 37.46/6.48 % (3946424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.46/6.48 % (3946424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.46/6.48 % (3946424)CaDiCaL version: 2.1.3
% 37.46/6.48 % (3946424)Termination reason: Instruction limit
% 37.46/6.48 % (3946424)Termination phase: Saturation
% 37.46/6.48 % (3946424)Time elapsed: 0.097 s
% 37.46/6.48 % (3946424)Peak memory usage: 13 MB
% 37.46/6.48 % (3946424)Instructions burned: 180 (million)
% 37.46/6.48 % (3946428)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1317708915:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 37.46/6.48 % Detected minimum model sizes of [4]
% 37.46/6.48 % Detected maximum model sizes of [max]
% 37.46/6.48 % TRYING [4]
% 37.46/6.48 % TRYING [5]
% 37.46/6.48 % (3946429)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1783918739:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 37.46/6.48 % TRYING [6]
% 37.46/6.48 % TRYING [7]
% 37.46/6.48 % (3946428)Instruction limit reached!
% 37.46/6.48 % (3946428)------------------------------
% 37.46/6.48 % (3946428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.46/6.48 % (3946428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.46/6.48 % (3946428)CaDiCaL version: 2.1.3
% 37.46/6.48 % (3946428)Termination reason: Instruction limit
% 37.46/6.48 % (3946428)Termination phase: Finite model building SAT solving
% 37.46/6.48 % (3946428)Time elapsed: 0.191 s
% 37.46/6.48 % (3946428)Peak memory usage: 24 MB
% 37.46/6.48 % (3946428)Instructions burned: 866 (million)
% 37.46/6.48 % (3946432)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3502800354:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 37.46/6.48 % TRYING [14]
% 37.46/6.48 % (3946421)Instruction limit reached!
% 37.46/6.48 % (3946421)------------------------------
% 37.46/6.48 % (3946421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.46/6.48 % (3946421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.46/6.48 % (3946421)CaDiCaL version: 2.1.3
% 37.46/6.48 % (3946421)Termination reason: Instruction limit
% 37.46/6.48 % (3946421)Termination phase: Saturation
% 37.46/6.48 % (3946421)Time elapsed: 0.418 s
% 37.46/6.48 % (3946421)Peak memory usage: 20 MB
% 37.46/6.48 % (3946421)Instructions burned: 684 (million)
% 37.46/6.48 % (3946426)Instruction limit reached!
% 37.46/6.48 % (3946426)------------------------------
% 37.46/6.48 % (3946426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.46/6.48 % (3946426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.46/6.48 % (3946434)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2124658769:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 37.46/6.48 % (3946426)CaDiCaL version: 2.1.3
% 37.46/6.48 % (3946426)Termination reason: Instruction limit
% 37.46/6.48 % (3946426)Termination phase: Saturation
% 37.46/6.48 % (3946426)Time elapsed: 0.340 s
% 37.46/6.48 % (3946426)Peak memory usage: 15 MB
% 37.46/6.48 % (3946426)Instructions burned: 478 (million)
% 37.46/6.48 % (3946436)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1611700571:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 69.45/10.27 % (3946432)Instruction limit reached!
% 69.45/10.27 % (3946432)------------------------------
% 69.45/10.27 % (3946432)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.45/10.27 % (3946432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.45/10.27 % (3946432)CaDiCaL version: 2.1.3
% 69.45/10.27 % (3946432)Termination reason: Instruction limit
% 69.45/10.27 % (3946432)Termination phase: Finite model building constraint generation
% 69.45/10.27 % (3946432)Time elapsed: 0.198 s
% 69.45/10.27 % (3946432)Peak memory usage: 83 MB
% 69.45/10.27 % (3946432)Instructions burned: 891 (million)
% 69.45/10.27 % (3946438)fmb+10_1_sil=64000:random_seed=2305633672:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 69.45/10.27 % Detected minimum model sizes of [4]
% 69.45/10.27 % Detected maximum model sizes of [max]
% 69.45/10.27 % TRYING [4]
% 69.45/10.27 % TRYING [5]
% 69.45/10.27 % TRYING [6]
% 69.45/10.27 % TRYING [7]
% 69.45/10.27 % (3946429)Instruction limit reached!
% 69.45/10.27 % (3946429)------------------------------
% 69.45/10.27 % (3946429)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.45/10.27 % (3946429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.45/10.27 % (3946429)CaDiCaL version: 2.1.3
% 69.45/10.27 % (3946429)Termination reason: Instruction limit
% 69.45/10.27 % (3946429)Termination phase: Saturation
% 69.45/10.27 % (3946429)Time elapsed: 0.695 s
% 69.45/10.27 % (3946429)Peak memory usage: 25 MB
% 69.45/10.27 % (3946429)Instructions burned: 1179 (million)
% 69.45/10.27 % (3946434)Instruction limit reached!
% 69.45/10.27 % (3946434)------------------------------
% 69.45/10.27 % (3946434)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.45/10.27 % (3946434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.45/10.27 % (3946434)CaDiCaL version: 2.1.3
% 69.45/10.27 % (3946434)Termination reason: Instruction limit
% 69.45/10.27 % (3946434)Termination phase: Saturation
% 69.45/10.27 % (3946434)Time elapsed: 0.403 s
% 69.45/10.27 % (3946434)Peak memory usage: 17 MB
% 69.45/10.27 % (3946434)Instructions burned: 693 (million)
% 69.45/10.27 % (3946440)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=838222089:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 69.45/10.27 % (3946441)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3586357273:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 69.45/10.27 % Detected minimum model sizes of [4]
% 69.45/10.27 % Detected maximum model sizes of [max]
% 69.45/10.27 % TRYING [20]
% 69.45/10.27 % Detected minimum model sizes of [4]
% 69.45/10.27 % Detected maximum model sizes of [max]
% 69.45/10.27 % TRYING [8]
% 69.45/10.27 % TRYING [8]
% 69.45/10.27 % (3946436)Instruction limit reached!
% 69.45/10.27 % (3946436)------------------------------
% 69.45/10.27 % (3946436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.45/10.27 % (3946436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.45/10.27 % (3946436)CaDiCaL version: 2.1.3
% 69.45/10.27 % (3946436)Termination reason: Instruction limit
% 69.45/10.27 % (3946436)Termination phase: Saturation
% 69.45/10.27 % (3946436)Time elapsed: 0.509 s
% 69.45/10.27 % (3946436)Peak memory usage: 17 MB
% 69.45/10.27 % (3946436)Instructions burned: 880 (million)
% 69.45/10.27 % (3946444)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2577899644:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 69.45/10.27 % TRYING [8]
% 69.45/10.27 % (3946441)Instruction limit reached!
% 69.45/10.27 % (3946441)------------------------------
% 69.45/10.27 % (3946441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.45/10.27 % (3946441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.45/10.27 % (3946441)CaDiCaL version: 2.1.3
% 69.45/10.27 % (3946441)Termination reason: Instruction limit
% 69.45/10.27 % (3946441)Termination phase: Finite model building SAT solving
% 69.45/10.27 % (3946441)Time elapsed: 0.532 s
% 69.45/10.27 % (3946441)Peak memory usage: 48 MB
% 69.45/10.27 % (3946441)Instructions burned: 922 (million)
% 69.45/10.27 % (3946446)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=4116213493:i=1472:ins=7:fdi=8:gsp=on_2984 on theBenchmark for (2984ds/1472Mi)
% 69.45/10.27 % (3946446)Instruction limit reached!
% 69.45/10.27 % (3946446)------------------------------
% 69.45/10.27 % (3946446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.45/10.27 % (3946446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.73/11.89 % (3946446)CaDiCaL version: 2.1.3
% 80.73/11.89 % (3946446)Termination reason: Instruction limit
% 80.73/11.89 % (3946446)Termination phase: Saturation
% 80.73/11.89 % (3946446)Time elapsed: 0.956 s
% 80.73/11.89 % (3946446)Peak memory usage: 30 MB
% 80.73/11.89 % (3946446)Instructions burned: 1473 (million)
% 80.73/11.89 % (3946448)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1864804920:i=6324_2974 on theBenchmark for (2974ds/6324Mi)
% 80.73/11.89 % Detected minimum model sizes of [4]
% 80.73/11.89 % Detected maximum model sizes of [max]
% 80.73/11.89 % TRYING [77]
% 80.73/11.89 % TRYING [9]
% 80.73/11.89 % (3946444)Instruction limit reached!
% 80.73/11.89 % (3946444)------------------------------
% 80.73/11.89 % (3946444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 80.73/11.89 % (3946444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.73/11.89 % (3946444)CaDiCaL version: 2.1.3
% 80.73/11.89 % (3946444)Termination reason: Instruction limit
% 80.73/11.89 % (3946444)Termination phase: Saturation
% 80.73/11.89 % (3946444)Time elapsed: 2.834 s
% 80.73/11.89 % (3946444)Peak memory usage: 23 MB
% 80.73/11.89 % (3946444)Instructions burned: 5131 (million)
% 80.73/11.89 % (3946450)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3384201341:fmbsr=2.30978:i=2174_2960 on theBenchmark for (2960ds/2174Mi)
% 80.73/11.89 % Detected minimum model sizes of [4]
% 80.73/11.89 % Detected maximum model sizes of [max]
% 80.73/11.89 % TRYING [16]
% 80.73/11.89 % (3946448)Instruction limit reached!
% 80.73/11.89 % (3946448)------------------------------
% 80.73/11.89 % (3946448)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 80.73/11.89 % (3946448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.73/11.89 % (3946448)CaDiCaL version: 2.1.3
% 80.73/11.89 % (3946448)Termination reason: Instruction limit
% 80.73/11.89 % (3946448)Termination phase: Finite model building constraint generation
% 80.73/11.89 % (3946448)Time elapsed: 2.124 s
% 80.73/11.89 % (3946448)Peak memory usage: 384 MB
% 80.73/11.89 % (3946448)Instructions burned: 6327 (million)
% 80.73/11.89 % (3946452)ott-2_1_sil=16000:newcnf=on:random_seed=3402088049:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2952 on theBenchmark for (2952ds/869Mi)
% 80.73/11.89 % (3946450)Instruction limit reached!
% 80.73/11.89 % (3946450)------------------------------
% 80.73/11.89 % (3946450)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 80.73/11.89 % (3946450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.73/11.89 % (3946450)CaDiCaL version: 2.1.3
% 80.73/11.89 % (3946450)Termination reason: Instruction limit
% 80.73/11.89 % (3946450)Termination phase: Finite model building constraint generation
% 80.73/11.89 % (3946450)Time elapsed: 0.936 s
% 80.73/11.89 % (3946450)Peak memory usage: 239 MB
% 80.73/11.89 % (3946450)Instructions burned: 2174 (million)
% 80.73/11.89 % (3946454)ott+10_1_sil=32000:tgt=ground:random_seed=3356507931:i=5114:av=off_2950 on theBenchmark for (2950ds/5114Mi)
% 80.73/11.89 % (3946452)Instruction limit reached!
% 80.73/11.89 % (3946452)------------------------------
% 80.73/11.89 % (3946452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 80.73/11.89 % (3946452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.73/11.89 % (3946452)CaDiCaL version: 2.1.3
% 80.73/11.89 % (3946452)Termination reason: Instruction limit
% 80.73/11.89 % (3946452)Termination phase: Saturation
% 80.73/11.89 % (3946452)Time elapsed: 0.519 s
% 80.73/11.89 % (3946452)Peak memory usage: 16 MB
% 80.73/11.89 % (3946452)Instructions burned: 870 (million)
% 80.73/11.89 % (3946456)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2520966961:i=54282_2947 on theBenchmark for (2947ds/54282Mi)
% 80.73/11.89 % Detected minimum model sizes of [4]
% 80.73/11.89 % Detected maximum model sizes of [max]
% 80.73/11.89 % TRYING [4]
% 80.73/11.89 % TRYING [5]
% 80.73/11.89 % TRYING [6]
% 80.73/11.89 % TRYING [7]
% 80.73/11.89 % (3946440)Instruction limit reached!
% 80.73/11.89 % (3946440)------------------------------
% 80.73/11.89 % (3946440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 80.73/11.89 % (3946440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.73/11.89 % (3946440)CaDiCaL version: 2.1.3
% 80.73/11.89 % (3946440)Termination reason: Instruction limit
% 80.73/11.89 % (3946440)Termination phase: Finite model building constraint generation
% 80.73/11.89 % (3946440)Time elapsed: 4.946 s
% 80.73/11.89 % (3946440)Peak memory usage: 889 MB
% 80.73/11.89 % (3946440)Instructions burned: 9515 (million)
% 80.73/11.89 % (3946458)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=844480981:i=3512:aac=none_2939 on theBenchmark for (2939ds/3512Mi)
% 80.73/11.89 % TRYING [8]
% 80.73/11.89 % TRYING [9]
% 80.73/11.89 % (3946438)Instruction limit reached!
% 80.73/11.89 % (3946438)------------------------------
% 80.73/11.89 % (3946438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 80.73/11.89 % (3946438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.73/11.89 % (3946438)CaDiCaL version: 2.1.3
% 80.73/11.89 % (3946438)Termination reason: Instruction limit
% 80.73/11.89 % (3946438)Termination phase: Finite model building SAT solving
% 80.73/11.89 % (3946438)Time elapsed: 6.369 s
% 80.73/11.89 % (3946438)Peak memory usage: 64 MB
% 80.73/11.89 % (3946438)Instructions burned: 22062 (million)
% 80.73/11.89 % (3946460)dis+21_1_sil=32000:sas=cadical:random_seed=2838172689:i=3773:amm=off_2929 on theBenchmark for (2929ds/3773Mi)
% 80.73/11.89 % (3946454)Instruction limit reached!
% 80.73/11.89 % (3946454)------------------------------
% 80.73/11.89 % (3946454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 80.73/11.89 % (3946454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.73/11.89 % (3946454)CaDiCaL version: 2.1.3
% 80.73/11.89 % (3946454)Termination reason: Instruction limit
% 80.73/11.89 % (3946454)Termination phase: Saturation
% 80.73/11.89 % (3946454)Time elapsed: 3.061 s
% 80.73/11.89 % (3946454)Peak memory usage: 44 MB
% 80.73/11.89 % (3946454)Instructions burned: 5115 (million)
% 80.73/11.89 % (3946458)Instruction limit reached!
% 80.73/11.89 % (3946458)------------------------------
% 80.73/11.89 % (3946458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 80.73/11.89 % (3946458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.73/11.89 % (3946458)CaDiCaL version: 2.1.3
% 80.73/11.89 % (3946458)Termination reason: Instruction limit
% 80.73/11.89 % (3946458)Termination phase: Saturation
% 80.73/11.89 % (3946458)Time elapsed: 1.974 s
% 80.73/11.89 % (3946458)Peak memory usage: 20 MB
% 80.73/11.89 % (3946458)Instructions burned: 3512 (million)
% 80.73/11.89 % (3946462)ott+11_1_sil=16000:gs=on:random_seed=2036787752:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2919 on theBenchmark for (2919ds/2251Mi)
% 80.73/11.89 % (3946463)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=2226761505:fmbsr=1.6:i=67534_2919 on theBenchmark for (2919ds/67534Mi)
% 80.73/11.89 % Detected minimum model sizes of [4]
% 80.73/11.89 % Detected maximum model sizes of [max]
% 80.73/11.89 % TRYING [7]
% 80.73/11.89 % (3946460)Instruction limit reached!
% 80.73/11.89 % (3946460)------------------------------
% 80.73/11.89 % (3946460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 80.73/11.89 % (3946460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.73/11.89 % (3946460)CaDiCaL version: 2.1.3
% 80.73/11.89 % (3946460)Termination reason: Instruction limit
% 80.73/11.89 % (3946460)Termination phase: Saturation
% 80.73/11.89 % (3946460)Time elapsed: 1.189 s
% 80.73/11.89 % (3946460)Peak memory usage: 33 MB
% 80.73/11.89 % (3946460)Instructions burned: 3776 (million)
% 80.73/11.89 % (3946466)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=274850473:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2917 on theBenchmark for (2917ds/4591Mi)
% 80.73/11.89 % TRYING [8]
% 80.73/11.89 % (3946462)Instruction limit reached!
% 80.73/11.89 % (3946462)------------------------------
% 80.73/11.89 % (3946462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 80.73/11.89 % (3946462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.73/11.89 % (3946462)CaDiCaL version: 2.1.3
% 80.73/11.89 % (3946462)Termination reason: Instruction limit
% 80.73/11.89 % (3946462)Termination phase: Saturation
% 80.73/11.89 % (3946462)Time elapsed: 1.320 s
% 80.73/11.89 % (3946462)Peak memory usage: 27 MB
% 80.73/11.89 % (3946462)Instructions burned: 2252 (million)
% 80.73/11.89 % (3946468)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=704507638:i=29340_2906 on theBenchmark for (2906ds/29340Mi)
% 80.73/11.89 % (3946466)Instruction limit reached!
% 80.73/11.89 % (3946466)------------------------------
% 80.73/11.89 % (3946466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 80.73/11.89 % (3946466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.73/11.89 % (3946466)CaDiCaL version: 2.1.3
% 80.73/11.89 % (3946466)Termination reason: Instruction limit
% 80.73/11.89 % (3946466)Termination phase: Saturation
% 80.73/11.89 % (3946466)Time elapsed: 1.550 s
% 80.73/11.89 % (3946466)Peak memory usage: 94 MB
% 80.73/11.89 % (3946466)Instructions burned: 4592 (million)
% 80.73/11.89 % (3946470)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=3356083133:i=5211_2901 on theBenchmark for (2901ds/5211Mi)
% 80.73/11.89 % (3946470)Instruction limit reached!
% 80.73/11.89 % (3946470)------------------------------
% 80.73/11.89 % (3946470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 80.73/11.89 % (3946470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.73/11.89 % (3946470)CaDiCaL version: 2.1.3
% 80.73/11.89 % (3946470)Termination reason: Instruction limit
% 80.73/11.89 % (3946470)Termination phase: Saturation
% 80.73/11.89 % (3946470)Time elapsed: 1.440 s
% 80.73/11.89 % (3946470)Peak memory usage: 36 MB
% 80.73/11.89 % (3946470)Instructions burned: 5214 (million)
% 80.73/11.89 % (3946472)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=3322241450:i=5497:nm=2_2886 on theBenchmark for (2886ds/5497Mi)
% 80.73/11.89 % Detected minimum model sizes of [4]
% 80.73/11.89 % Detected maximum model sizes of [max]
% 80.73/11.89 % TRYING [17]
% 80.73/11.89 % (3946468) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3946399-3946468"...
% 80.73/11.89 % (3946468)...printing done.
% 80.73/11.89 % (3946468)Refutation found. Thanks to Tanya!
% 80.73/11.89 % SZS status Theorem for theBenchmark
% 80.73/11.90 % SZS output start Proof for theBenchmark
% See solution above
% 80.73/11.90 % (3946468)------------------------------
% 80.73/11.90 % (3946468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 80.73/11.90 % (3946468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.73/11.90 % (3946468)CaDiCaL version: 2.1.3
% 80.73/11.90 % (3946468)Termination reason: Refutation
% 80.73/11.90 % (3946468)Time elapsed: 2.068 s
% 80.73/11.90 % (3946468)Peak memory usage: 31 MB
% 80.73/11.90 % (3946468)Instructions burned: 3868 (million)
% 80.73/11.90 % (3946399)Success in time 11.487 s
% 80.73/11.90 % Vampire exiting
%------------------------------------------------------------------------------