%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PRO012+3 : 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 : n003.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 12:30:38 PM UTC 2026
% Result : Theorem 66.24s 9.85s
% Output : Refutation 66.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 18
% Syntax : Number of formulae : 121 ( 33 unt; 2 def)
% Number of atoms : 372 ( 28 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 398 ( 147 ~; 145 |; 88 &)
% ( 5 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 3 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-3 aty)
% Number of variables : 187 ( 0 sgn 159 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( occurrence_of(X1,X0)
=> ( activity(X0)
& activity_occurrence(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos) ).
fof(f2,axiom,
! [X0] :
( activity_occurrence(X0)
=> ? [X1] :
( activity(X1)
& occurrence_of(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_01) ).
fof(f3,axiom,
! [X0,X1,X2] :
( ( occurrence_of(X0,X1)
& occurrence_of(X0,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
fof(f9,axiom,
! [X0] :
( legal(X0)
=> arboreal(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).
fof(f11,axiom,
! [X0,X1] :
( precedes(X0,X1)
<=> ( earlier(X0,X1)
& legal(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_10) ).
fof(f12,axiom,
! [X0,X1,X2] :
( min_precedes(X1,X2,X0)
=> ? [X3,X4] :
( subactivity(X3,X0)
& subactivity(X4,X0)
& atocc(X1,X3)
& atocc(X2,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_11) ).
fof(f16,axiom,
! [X0,X1,X2] :
( min_precedes(X0,X1,X2)
=> precedes(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_15) ).
fof(f24,axiom,
! [X0,X1] :
( atocc(X0,X1)
<=> ? [X2] :
( subactivity(X1,X2)
& atomic(X2)
& occurrence_of(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_23) ).
fof(f26,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_25) ).
fof(f30,axiom,
! [X0,X1,X2,X3] :
( ( min_precedes(X0,X1,X2)
& occurrence_of(X3,X2)
& subactivity_occurrence(X1,X3) )
=> subactivity_occurrence(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_29) ).
fof(f34,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_33) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( occurrence_of(X1,X0)
& subactivity_occurrence(X2,X1)
& root_occ(X3,X1)
& arboreal(X2)
& ~ min_precedes(X3,X2,X0) )
=> X3 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_42) ).
fof(f50,axiom,
! [X0] :
( occurrence_of(X0,tptp0)
=> ? [X1,X2,X3] :
( occurrence_of(X1,tptp3)
& root_occ(X1,X0)
& occurrence_of(X2,tptp4)
& min_precedes(X1,X2,tptp0)
& ( occurrence_of(X3,tptp2)
| occurrence_of(X3,tptp1) )
& min_precedes(X2,X3,tptp0)
& ! [X4] :
( min_precedes(X1,X4,tptp0)
=> ( X4 = X2
| X4 = X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_49) ).
fof(f60,axiom,
tptp3 != tptp2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_59) ).
fof(f61,axiom,
tptp3 != tptp1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_60) ).
fof(f63,conjecture,
! [X0] :
( occurrence_of(X0,tptp0)
=> ? [X1,X2] :
( occurrence_of(X1,tptp3)
& root_occ(X1,X0)
& ( occurrence_of(X2,tptp2)
| occurrence_of(X2,tptp1) )
& min_precedes(X1,X2,tptp0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f64,negated_conjecture,
~ ! [X0] :
( occurrence_of(X0,tptp0)
=> ? [X1,X2] :
( occurrence_of(X1,tptp3)
& root_occ(X1,X0)
& ( occurrence_of(X2,tptp2)
| occurrence_of(X2,tptp1) )
& min_precedes(X1,X2,tptp0) ) ),
inference(negated_conjecture,[status(cth)],[f63]) ).
fof(f66,plain,
! [X0,X1] :
( ( activity(X0)
& activity_occurrence(X1) )
| ~ occurrence_of(X1,X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f67,plain,
! [X0] :
( ? [X1] :
( activity(X1)
& occurrence_of(X0,X1) )
| ~ activity_occurrence(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f68,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X1)
| ~ occurrence_of(X0,X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f69,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X1)
| ~ occurrence_of(X0,X2) ),
inference(flattening,[],[f68]) ).
fof(f77,plain,
! [X0] :
( arboreal(X0)
| ~ legal(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ? [X3,X4] :
( subactivity(X3,X0)
& subactivity(X4,X0)
& atocc(X1,X3)
& atocc(X2,X4) )
| ~ min_precedes(X1,X2,X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f84,plain,
! [X0,X1,X2] :
( precedes(X0,X1)
| ~ min_precedes(X0,X1,X2) ),
inference(ennf_transformation,[],[f16]) ).
fof(f97,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,[],[f26]) ).
fof(f104,plain,
! [X0,X1,X2,X3] :
( subactivity_occurrence(X0,X3)
| ~ min_precedes(X0,X1,X2)
| ~ occurrence_of(X3,X2)
| ~ subactivity_occurrence(X1,X3) ),
inference(ennf_transformation,[],[f30]) ).
fof(f105,plain,
! [X0,X1,X2,X3] :
( subactivity_occurrence(X0,X3)
| ~ min_precedes(X0,X1,X2)
| ~ occurrence_of(X3,X2)
| ~ subactivity_occurrence(X1,X3) ),
inference(flattening,[],[f104]) ).
fof(f126,plain,
! [X0,X1,X2,X3] :
( X3 = X2
| ~ occurrence_of(X1,X0)
| ~ subactivity_occurrence(X2,X1)
| ~ root_occ(X3,X1)
| ~ arboreal(X2)
| min_precedes(X3,X2,X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f127,plain,
! [X0,X1,X2,X3] :
( X3 = X2
| ~ occurrence_of(X1,X0)
| ~ subactivity_occurrence(X2,X1)
| ~ root_occ(X3,X1)
| ~ arboreal(X2)
| min_precedes(X3,X2,X0) ),
inference(flattening,[],[f126]) ).
fof(f138,plain,
! [X0] :
( ? [X1,X2,X3] :
( occurrence_of(X1,tptp3)
& root_occ(X1,X0)
& occurrence_of(X2,tptp4)
& min_precedes(X1,X2,tptp0)
& ( occurrence_of(X3,tptp2)
| occurrence_of(X3,tptp1) )
& min_precedes(X2,X3,tptp0)
& ! [X4] :
( X4 = X2
| X4 = X3
| ~ min_precedes(X1,X4,tptp0) ) )
| ~ occurrence_of(X0,tptp0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f139,plain,
! [X0] :
( ? [X1,X2,X3] :
( occurrence_of(X1,tptp3)
& root_occ(X1,X0)
& occurrence_of(X2,tptp4)
& min_precedes(X1,X2,tptp0)
& ( occurrence_of(X3,tptp2)
| occurrence_of(X3,tptp1) )
& min_precedes(X2,X3,tptp0)
& ! [X4] :
( X4 = X2
| X4 = X3
| ~ min_precedes(X1,X4,tptp0) ) )
| ~ occurrence_of(X0,tptp0) ),
inference(flattening,[],[f138]) ).
fof(f140,plain,
? [X0] :
( ! [X1,X2] :
( ~ occurrence_of(X1,tptp3)
| ~ root_occ(X1,X0)
| ( ~ occurrence_of(X2,tptp2)
& ~ occurrence_of(X2,tptp1) )
| ~ min_precedes(X1,X2,tptp0) )
& occurrence_of(X0,tptp0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f141,plain,
! [X0] :
( ( activity(sK0(X0))
& occurrence_of(X0,sK0(X0)) )
| ~ activity_occurrence(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f67]) ).
fof(f143,plain,
! [X0,X1] :
( ( precedes(X0,X1)
| ~ earlier(X0,X1)
| ~ legal(X1) )
& ( ( earlier(X0,X1)
& legal(X1) )
| ~ precedes(X0,X1) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f144,plain,
! [X0,X1] :
( ( precedes(X0,X1)
| ~ earlier(X0,X1)
| ~ legal(X1) )
& ( ( earlier(X0,X1)
& legal(X1) )
| ~ precedes(X0,X1) ) ),
inference(flattening,[],[f143]) ).
fof(f145,plain,
! [X0,X1,X2] :
( ( subactivity(sK1(X0,X1,X2),X0)
& subactivity(sK2(X0,X1,X2),X0)
& atocc(X1,sK1(X0,X1,X2))
& atocc(X2,sK2(X0,X1,X2)) )
| ~ min_precedes(X1,X2,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X3,sK1(X0,X1,X2)),skolemize(X4,sK2(X0,X1,X2))],[f80]) ).
fof(f153,plain,
! [X0,X1] :
( ( atocc(X0,X1)
| ! [X2] :
( ~ subactivity(X1,X2)
| ~ atomic(X2)
| ~ occurrence_of(X0,X2) ) )
& ( ? [X2] :
( subactivity(X1,X2)
& atomic(X2)
& occurrence_of(X0,X2) )
| ~ atocc(X0,X1) ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f154,plain,
! [X0,X1] :
( ( atocc(X0,X1)
| ! [X2] :
( ~ subactivity(X1,X2)
| ~ atomic(X2)
| ~ occurrence_of(X0,X2) ) )
& ( ? [X3] :
( subactivity(X1,X3)
& atomic(X3)
& occurrence_of(X0,X3) )
| ~ atocc(X0,X1) ) ),
inference(rectify,[],[f153]) ).
fof(f155,plain,
! [X0,X1] :
( ( atocc(X0,X1)
| ! [X2] :
( ~ subactivity(X1,X2)
| ~ atomic(X2)
| ~ occurrence_of(X0,X2) ) )
& ( ( subactivity(X1,sK8(X0,X1))
& atomic(sK8(X0,X1))
& occurrence_of(X0,sK8(X0,X1)) )
| ~ atocc(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X3,sK8(X0,X1))],[f154]) ).
fof(f156,plain,
! [X0,X1,X2] :
( ( occurrence_of(sK9(X0,X1,X2),X0)
& subactivity_occurrence(X1,sK9(X0,X1,X2))
& subactivity_occurrence(X2,sK9(X0,X1,X2)) )
| ~ min_precedes(X1,X2,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X3,sK9(X0,X1,X2))],[f97]) ).
fof(f160,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,[],[f34]) ).
fof(f161,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,[],[f160]) ).
fof(f162,plain,
! [X0,X1] :
( ( root_occ(X0,X1)
| ! [X2] :
( ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ root(X0,X2) ) )
& ( ( occurrence_of(X1,sK13(X0,X1))
& subactivity_occurrence(X0,X1)
& root(X0,sK13(X0,X1)) )
| ~ root_occ(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X3,sK13(X0,X1))],[f161]) ).
fof(f167,plain,
! [X0] :
( ( occurrence_of(sK16(X0),tptp3)
& root_occ(sK16(X0),X0)
& occurrence_of(sK17(X0),tptp4)
& min_precedes(sK16(X0),sK17(X0),tptp0)
& ( occurrence_of(sK18(X0),tptp2)
| occurrence_of(sK18(X0),tptp1) )
& min_precedes(sK17(X0),sK18(X0),tptp0)
& ! [X4] :
( sK17(X0) = X4
| sK18(X0) = X4
| ~ min_precedes(sK16(X0),X4,tptp0) ) )
| ~ occurrence_of(X0,tptp0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16,sK17,sK18]),skolemize(X1,sK16(X0)),skolemize(X2,sK17(X0)),skolemize(X3,sK18(X0))],[f139]) ).
fof(f168,plain,
( ! [X1,X2] :
( ~ occurrence_of(X1,tptp3)
| ~ root_occ(X1,sK19)
| ( ~ occurrence_of(X2,tptp2)
& ~ occurrence_of(X2,tptp1) )
| ~ min_precedes(X1,X2,tptp0) )
& occurrence_of(sK19,tptp0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(X0,sK19)],[f140]) ).
fof(f169,plain,
! [X0,X1] :
( ~ occurrence_of(X1,X0)
| activity_occurrence(X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f171,plain,
! [X0] :
( ~ activity_occurrence(X0)
| occurrence_of(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f141]) ).
fof(f173,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f69]) ).
fof(f180,plain,
! [X0] :
( ~ legal(X0)
| arboreal(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f182,plain,
! [X0,X1] :
( ~ precedes(X0,X1)
| legal(X1) ),
inference(cnf_transformation,[],[f144]) ).
fof(f185,plain,
! [X2,X0,X1] :
( atocc(X2,sK2(X0,X1,X2))
| ~ min_precedes(X1,X2,X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f194,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| precedes(X0,X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f206,plain,
! [X0,X1] :
( ~ atocc(X0,X1)
| occurrence_of(X0,sK8(X0,X1)) ),
inference(cnf_transformation,[],[f155]) ).
fof(f212,plain,
! [X2,X0,X1] :
( subactivity_occurrence(X2,sK9(X0,X1,X2))
| ~ min_precedes(X1,X2,X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f213,plain,
! [X2,X0,X1] :
( subactivity_occurrence(X1,sK9(X0,X1,X2))
| ~ min_precedes(X1,X2,X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f214,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| occurrence_of(sK9(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f220,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| subactivity_occurrence(X0,X3)
| ~ occurrence_of(X3,X2)
| ~ subactivity_occurrence(X1,X3) ),
inference(cnf_transformation,[],[f105]) ).
fof(f225,plain,
! [X0,X1] :
( root(X0,sK13(X0,X1))
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[],[f162]) ).
fof(f227,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| occurrence_of(X1,sK13(X0,X1)) ),
inference(cnf_transformation,[],[f162]) ).
fof(f228,plain,
! [X2,X0,X1] :
( ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2)
| root_occ(X0,X1)
| ~ root(X0,X2) ),
inference(cnf_transformation,[],[f162]) ).
fof(f240,plain,
! [X2,X3,X0,X1] :
( ~ root_occ(X3,X1)
| ~ occurrence_of(X1,X0)
| ~ subactivity_occurrence(X2,X1)
| X2 = X3
| ~ arboreal(X2)
| min_precedes(X3,X2,X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f250,plain,
! [X0] :
( min_precedes(sK17(X0),sK18(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f251,plain,
! [X0] :
( occurrence_of(sK18(X0),tptp1)
| occurrence_of(sK18(X0),tptp2)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f252,plain,
! [X0] :
( min_precedes(sK16(X0),sK17(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f254,plain,
! [X0] :
( root_occ(sK16(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f255,plain,
! [X0] :
( occurrence_of(sK16(X0),tptp3)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f265,plain,
tptp3 != tptp2,
inference(cnf_transformation,[],[f60]) ).
fof(f266,plain,
tptp3 != tptp1,
inference(cnf_transformation,[],[f61]) ).
fof(f268,plain,
occurrence_of(sK19,tptp0),
inference(cnf_transformation,[],[f168]) ).
fof(f269,plain,
! [X2,X1] :
( ~ min_precedes(X1,X2,tptp0)
| ~ root_occ(X1,sK19)
| ~ occurrence_of(X2,tptp1)
| ~ occurrence_of(X1,tptp3) ),
inference(cnf_transformation,[],[f168]) ).
fof(f270,plain,
! [X2,X1] :
( ~ min_precedes(X1,X2,tptp0)
| ~ root_occ(X1,sK19)
| ~ occurrence_of(X2,tptp2)
| ~ occurrence_of(X1,tptp3) ),
inference(cnf_transformation,[],[f168]) ).
fof(f351,plain,
root_occ(sK16(sK19),sK19),
inference(unit_resulting_resolution,[],[f254,f268]) ).
fof(f395,plain,
occurrence_of(sK16(sK19),tptp3),
inference(unit_resulting_resolution,[],[f255,f268]) ).
fof(f445,plain,
root(sK16(sK19),sK13(sK16(sK19),sK19)),
inference(unit_resulting_resolution,[],[f225,f351]) ).
fof(f547,plain,
occurrence_of(sK19,sK13(sK16(sK19),sK19)),
inference(unit_resulting_resolution,[],[f227,f351]) ).
fof(f890,plain,
~ occurrence_of(sK16(sK19),tptp2),
inference(unit_resulting_resolution,[],[f173,f265,f395]) ).
fof(f891,plain,
~ occurrence_of(sK16(sK19),tptp1),
inference(unit_resulting_resolution,[],[f173,f266,f395]) ).
fof(f894,plain,
tptp0 = sK13(sK16(sK19),sK19),
inference(unit_resulting_resolution,[],[f173,f547,f268]) ).
fof(f1251,plain,
root(sK16(sK19),tptp0),
inference(superposition,[],[f445,f894]) ).
fof(f1787,plain,
min_precedes(sK17(sK19),sK18(sK19),tptp0),
inference(unit_resulting_resolution,[],[f250,f268]) ).
fof(f1797,plain,
precedes(sK17(sK19),sK18(sK19)),
inference(unit_resulting_resolution,[],[f194,f1787]) ).
fof(f1809,plain,
legal(sK18(sK19)),
inference(unit_resulting_resolution,[],[f182,f1797]) ).
fof(f1814,plain,
arboreal(sK18(sK19)),
inference(unit_resulting_resolution,[],[f180,f1809]) ).
fof(f1910,plain,
min_precedes(sK16(sK19),sK17(sK19),tptp0),
inference(unit_resulting_resolution,[],[f252,f268]) ).
fof(f2057,plain,
atocc(sK18(sK19),sK2(tptp0,sK17(sK19),sK18(sK19))),
inference(unit_resulting_resolution,[],[f185,f1787]) ).
fof(f2064,plain,
occurrence_of(sK18(sK19),sK8(sK18(sK19),sK2(tptp0,sK17(sK19),sK18(sK19)))),
inference(unit_resulting_resolution,[],[f206,f2057]) ).
fof(f2100,plain,
activity_occurrence(sK18(sK19)),
inference(unit_resulting_resolution,[],[f169,f2064]) ).
fof(f2107,plain,
occurrence_of(sK18(sK19),sK0(sK18(sK19))),
inference(unit_resulting_resolution,[],[f171,f2100]) ).
fof(f2120,plain,
! [X0] :
( ~ occurrence_of(sK18(sK19),X0)
| sK0(sK18(sK19)) = X0 ),
inference(resolution,[],[f2107,f173]) ).
fof(f2943,plain,
subactivity_occurrence(sK18(sK19),sK9(tptp0,sK17(sK19),sK18(sK19))),
inference(unit_resulting_resolution,[],[f212,f1787]) ).
fof(f3130,plain,
subactivity_occurrence(sK17(sK19),sK9(tptp0,sK17(sK19),sK18(sK19))),
inference(unit_resulting_resolution,[],[f213,f1787]) ).
fof(f3318,plain,
occurrence_of(sK9(tptp0,sK17(sK19),sK18(sK19)),tptp0),
inference(unit_resulting_resolution,[],[f214,f1787]) ).
fof(f6079,plain,
( occurrence_of(sK18(sK19),tptp2)
| ~ occurrence_of(sK19,tptp0)
| tptp1 = sK0(sK18(sK19)) ),
inference(resolution,[],[f251,f2120]) ).
fof(f6088,plain,
( occurrence_of(sK18(sK19),tptp2)
| tptp1 = sK0(sK18(sK19)) ),
inference(forward_subsumption_resolution,[],[f6079,f268]) ).
fof(f7688,definition,
( spl20_5
<=> tptp1 = sK0(sK18(sK19)) ),
introduced(definition,[new_symbols(definition,[spl20_5])],[avatar_definition]) ).
fof(f7690,plain,
( tptp1 = sK0(sK18(sK19))
| ~ spl20_5 ),
inference(avatar_component_clause,[],[f7688]) ).
fof(f7692,definition,
( spl20_6
<=> occurrence_of(sK18(sK19),tptp2) ),
introduced(definition,[new_symbols(definition,[spl20_6])],[avatar_definition]) ).
fof(f7694,plain,
( occurrence_of(sK18(sK19),tptp2)
| ~ spl20_6 ),
inference(avatar_component_clause,[],[f7692]) ).
fof(f7695,plain,
( spl20_5
| spl20_6 ),
inference(avatar_split_clause,[],[f6088,f7692,f7688]) ).
fof(f7697,plain,
( occurrence_of(sK18(sK19),tptp1)
| ~ spl20_5 ),
inference(superposition,[],[f2107,f7690]) ).
fof(f7718,plain,
( ~ min_precedes(sK16(sK19),sK18(sK19),tptp0)
| ~ spl20_5 ),
inference(unit_resulting_resolution,[],[f269,f395,f351,f7697]) ).
fof(f8352,plain,
subactivity_occurrence(sK16(sK19),sK9(tptp0,sK17(sK19),sK18(sK19))),
inference(unit_resulting_resolution,[],[f220,f3318,f3130,f1910]) ).
fof(f8368,plain,
root_occ(sK16(sK19),sK9(tptp0,sK17(sK19),sK18(sK19))),
inference(unit_resulting_resolution,[],[f228,f1251,f3318,f8352]) ).
fof(f13418,plain,
( sK16(sK19) = sK18(sK19)
| ~ spl20_5 ),
inference(unit_resulting_resolution,[],[f240,f1814,f7718,f2943,f3318,f8368]) ).
fof(f13793,plain,
( occurrence_of(sK16(sK19),tptp1)
| occurrence_of(sK16(sK19),tptp2)
| ~ occurrence_of(sK19,tptp0)
| ~ spl20_5 ),
inference(superposition,[],[f251,f13418]) ).
fof(f13796,plain,
( occurrence_of(sK16(sK19),tptp2)
| ~ occurrence_of(sK19,tptp0)
| ~ spl20_5 ),
inference(forward_subsumption_resolution,[],[f13793,f891]) ).
fof(f13853,plain,
( ~ occurrence_of(sK19,tptp0)
| ~ spl20_5 ),
inference(forward_subsumption_resolution,[],[f13796,f890]) ).
fof(f13860,plain,
( $false
| ~ spl20_5 ),
inference(forward_subsumption_resolution,[],[f13853,f268]) ).
fof(f13861,plain,
~ spl20_5,
inference(avatar_contradiction_clause,[],[f13860]) ).
fof(f13867,plain,
( ~ min_precedes(sK16(sK19),sK18(sK19),tptp0)
| ~ spl20_6 ),
inference(unit_resulting_resolution,[],[f270,f395,f351,f7694]) ).
fof(f13983,plain,
( sK16(sK19) = sK18(sK19)
| ~ spl20_6 ),
inference(unit_resulting_resolution,[],[f240,f1814,f3318,f8368,f2943,f13867]) ).
fof(f14332,plain,
( occurrence_of(sK16(sK19),tptp1)
| occurrence_of(sK16(sK19),tptp2)
| ~ occurrence_of(sK19,tptp0)
| ~ spl20_6 ),
inference(superposition,[],[f251,f13983]) ).
fof(f14335,plain,
( occurrence_of(sK16(sK19),tptp2)
| ~ occurrence_of(sK19,tptp0)
| ~ spl20_6 ),
inference(forward_subsumption_resolution,[],[f14332,f891]) ).
fof(f14389,plain,
( ~ occurrence_of(sK19,tptp0)
| ~ spl20_6 ),
inference(forward_subsumption_resolution,[],[f14335,f890]) ).
fof(f14396,plain,
( $false
| ~ spl20_6 ),
inference(forward_subsumption_resolution,[],[f14389,f268]) ).
fof(f14397,plain,
~ spl20_6,
inference(avatar_contradiction_clause,[],[f14396]) ).
cnf(s9,plain,
( spl20_5
| spl20_6 ),
inference(sat_conversion,[],[f7695]) ).
cnf(s34,plain,
~ spl20_5,
inference(sat_conversion,[],[f13861]) ).
cnf(s55,plain,
~ spl20_6,
inference(sat_conversion,[],[f14397]) ).
cnf(s56,plain,
$false,
inference(rat,[],[s9,s55,s34]) ).
fof(f14398,plain,
$false,
inference(avatar_sat_refutation,[],[s56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PRO012+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n003.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 22:23:42 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 15.48/2.66 % (977059)Will run a generic schedule for satisfiability detection.
% 15.48/2.66 % (977067)dis+10_1_sil=32000:sp=arity:random_seed=1957380003:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.48/2.66 % (977065)% WARNING: option uhcvi not known.
% 15.48/2.66 % (977064)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=242380560_2999 on theBenchmark for (2999ds/0Mi)
% 15.48/2.66 % (977066)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1359508517:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.48/2.66 % (977070)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=645271472:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.48/2.66 % (977068)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1409166867:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.48/2.66 % (977069)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2827310757:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.48/2.66 % (977065)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3792382316:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.48/2.66 % Detected minimum model sizes of [4]
% 15.48/2.66 % Detected maximum model sizes of [max]
% 15.48/2.66 % TRYING [4]
% 15.48/2.66 % TRYING [5]
% 15.48/2.66 % (977067)Instruction limit reached!
% 15.48/2.66 % (977067)------------------------------
% 15.48/2.66 % (977067)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.48/2.66 % (977067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.48/2.66 % (977067)CaDiCaL version: 2.1.3
% 15.48/2.66 % (977067)Termination reason: Instruction limit
% 15.48/2.66 % (977067)Termination phase: Saturation
% 15.48/2.66 % (977067)Time elapsed: 0.041 s
% 15.48/2.66 % (977067)Peak memory usage: 12 MB
% 15.48/2.66 % (977067)Instructions burned: 104 (million)
% 15.48/2.66 % (977078)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1798846357:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 15.48/2.66 % Detected minimum model sizes of [4]
% 15.48/2.66 % Detected maximum model sizes of [max]
% 15.48/2.66 % TRYING [4]
% 15.48/2.66 % TRYING [5]
% 15.48/2.66 % TRYING [6]
% 15.48/2.66 % (977068)Instruction limit reached!
% 15.48/2.66 % (977068)------------------------------
% 15.48/2.66 % (977068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.48/2.66 % (977068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.48/2.66 % (977068)CaDiCaL version: 2.1.3
% 15.48/2.66 % (977068)Termination reason: Instruction limit
% 15.48/2.66 % (977068)Termination phase: Saturation
% 15.48/2.66 % (977068)Time elapsed: 0.074 s
% 15.48/2.66 % (977068)Peak memory usage: 12 MB
% 15.48/2.66 % (977068)Instructions burned: 117 (million)
% 15.48/2.66 % TRYING [6]
% 15.48/2.66 % (977069)Instruction limit reached!
% 15.48/2.66 % (977069)------------------------------
% 15.48/2.66 % (977069)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.48/2.66 % (977069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.48/2.66 % (977069)CaDiCaL version: 2.1.3
% 15.48/2.66 % (977069)Termination reason: Instruction limit
% 15.48/2.66 % (977069)Termination phase: Saturation
% 15.48/2.66 % (977069)Time elapsed: 0.088 s
% 15.48/2.66 % (977069)Peak memory usage: 13 MB
% 15.48/2.66 % (977069)Instructions burned: 131 (million)
% 15.48/2.66 % (977080)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3717443282:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 15.48/2.66 % (977070)Instruction limit reached!
% 15.48/2.66 % (977070)------------------------------
% 15.48/2.66 % (977070)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.48/2.66 % (977070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.48/2.66 % (977070)CaDiCaL version: 2.1.3
% 15.48/2.66 % (977070)Termination reason: Instruction limit
% 15.48/2.66 % (977070)Termination phase: Saturation
% 15.48/2.66 % (977070)Time elapsed: 0.108 s
% 15.48/2.66 % (977070)Peak memory usage: 14 MB
% 15.48/2.66 % (977070)Instructions burned: 159 (million)
% 15.48/2.66 % (977081)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=2437265846:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 15.48/2.66 % (977084)ott-21_1_sil=16000:fs=off:random_seed=4197791655:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 15.48/2.66 % TRYING [7]
% 15.48/2.66 % TRYING [7]
% 15.48/2.66 % (977080)Instruction limit reached!
% 15.48/2.66 % (977080)------------------------------
% 45.25/6.84 % (977080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.25/6.84 % (977080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.25/6.84 % (977080)CaDiCaL version: 2.1.3
% 45.25/6.84 % (977080)Termination reason: Instruction limit
% 45.25/6.84 % (977080)Termination phase: Saturation
% 45.25/6.84 % (977080)Time elapsed: 0.090 s
% 45.25/6.84 % (977080)Peak memory usage: 13 MB
% 45.25/6.84 % (977080)Instructions burned: 131 (million)
% 45.25/6.84 % (977078)Instruction limit reached!
% 45.25/6.84 % (977078)------------------------------
% 45.25/6.84 % (977078)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.25/6.84 % (977078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.25/6.84 % (977078)CaDiCaL version: 2.1.3
% 45.25/6.84 % (977078)Termination reason: Instruction limit
% 45.25/6.84 % (977078)Termination phase: Finite model building SAT solving
% 45.25/6.84 % (977078)Time elapsed: 0.157 s
% 45.25/6.84 % (977078)Peak memory usage: 32 MB
% 45.25/6.84 % (977078)Instructions burned: 716 (million)
% 45.25/6.84 % (977086)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4161865281:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 45.25/6.84 % (977087)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3335480392:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 45.25/6.84 % Detected minimum model sizes of [4]
% 45.25/6.84 % Detected maximum model sizes of [max]
% 45.25/6.84 % TRYING [4]
% 45.25/6.84 % (977084)Instruction limit reached!
% 45.25/6.84 % (977084)------------------------------
% 45.25/6.84 % (977084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.25/6.84 % (977084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.25/6.84 % (977084)CaDiCaL version: 2.1.3
% 45.25/6.84 % (977084)Termination reason: Instruction limit
% 45.25/6.84 % (977084)Termination phase: Saturation
% 45.25/6.84 % (977084)Time elapsed: 0.098 s
% 45.25/6.84 % (977084)Peak memory usage: 13 MB
% 45.25/6.84 % (977084)Instructions burned: 181 (million)
% 45.25/6.84 % TRYING [5]
% 45.25/6.84 % (977090)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1319217691:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 45.25/6.84 % TRYING [6]
% 45.25/6.84 % TRYING [7]
% 45.25/6.84 % (977087)Instruction limit reached!
% 45.25/6.84 % (977087)------------------------------
% 45.25/6.84 % (977087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.25/6.84 % (977087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.25/6.84 % (977087)CaDiCaL version: 2.1.3
% 45.25/6.84 % (977087)Termination reason: Instruction limit
% 45.25/6.84 % (977087)Termination phase: Finite model building constraint generation
% 45.25/6.84 % (977087)Time elapsed: 0.175 s
% 45.25/6.84 % (977087)Peak memory usage: 24 MB
% 45.25/6.84 % (977087)Instructions burned: 871 (million)
% 45.25/6.84 % (977092)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=655146833:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 45.25/6.84 % TRYING [8]
% 45.25/6.84 % TRYING [14]
% 45.25/6.84 % (977081)Instruction limit reached!
% 45.25/6.84 % (977081)------------------------------
% 45.25/6.84 % (977081)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.25/6.84 % (977081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.25/6.84 % (977081)CaDiCaL version: 2.1.3
% 45.25/6.84 % (977081)Termination reason: Instruction limit
% 45.25/6.84 % (977081)Termination phase: Saturation
% 45.25/6.84 % (977081)Time elapsed: 0.413 s
% 45.25/6.84 % (977081)Peak memory usage: 20 MB
% 45.25/6.84 % (977081)Instructions burned: 685 (million)
% 45.25/6.84 % (977094)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=160418969: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)
% 45.25/6.84 % (977086)Instruction limit reached!
% 45.25/6.84 % (977086)------------------------------
% 45.25/6.84 % (977086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.25/6.84 % (977086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.25/6.84 % (977086)CaDiCaL version: 2.1.3
% 45.25/6.84 % (977086)Termination reason: Instruction limit
% 45.25/6.84 % (977086)Termination phase: Saturation
% 45.25/6.84 % (977086)Time elapsed: 0.337 s
% 45.25/6.84 % (977086)Peak memory usage: 15 MB
% 45.25/6.84 % (977086)Instructions burned: 478 (million)
% 45.25/6.84 % (977096)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1086563574:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 66.24/9.85 % (977092)Instruction limit reached!
% 66.24/9.85 % (977092)------------------------------
% 66.24/9.85 % (977092)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.24/9.85 % (977092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.24/9.85 % (977092)CaDiCaL version: 2.1.3
% 66.24/9.85 % (977092)Termination reason: Instruction limit
% 66.24/9.85 % (977092)Termination phase: Finite model building constraint generation
% 66.24/9.85 % (977092)Time elapsed: 0.177 s
% 66.24/9.85 % (977092)Peak memory usage: 73 MB
% 66.24/9.85 % (977092)Instructions burned: 894 (million)
% 66.24/9.85 % (977098)fmb+10_1_sil=64000:random_seed=2387754832:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 66.24/9.85 % Detected minimum model sizes of [4]
% 66.24/9.85 % Detected maximum model sizes of [max]
% 66.24/9.85 % TRYING [4]
% 66.24/9.85 % TRYING [5]
% 66.24/9.85 % TRYING [6]
% 66.24/9.85 % TRYING [7]
% 66.24/9.85 % (977094)Instruction limit reached!
% 66.24/9.85 % (977094)------------------------------
% 66.24/9.85 % (977094)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.24/9.85 % (977094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.24/9.85 % (977094)CaDiCaL version: 2.1.3
% 66.24/9.85 % (977094)Termination reason: Instruction limit
% 66.24/9.85 % (977094)Termination phase: Saturation
% 66.24/9.85 % (977094)Time elapsed: 0.394 s
% 66.24/9.85 % (977094)Peak memory usage: 19 MB
% 66.24/9.85 % (977094)Instructions burned: 693 (million)
% 66.24/9.85 % (977090)Instruction limit reached!
% 66.24/9.85 % (977090)------------------------------
% 66.24/9.85 % (977090)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.24/9.85 % (977090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.24/9.85 % (977090)CaDiCaL version: 2.1.3
% 66.24/9.85 % (977090)Termination reason: Instruction limit
% 66.24/9.85 % (977090)Termination phase: Saturation
% 66.24/9.85 % (977090)Time elapsed: 0.707 s
% 66.24/9.85 % (977090)Peak memory usage: 27 MB
% 66.24/9.85 % (977090)Instructions burned: 1180 (million)
% 66.24/9.85 % (977100)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4004865955:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 66.24/9.85 % Detected minimum model sizes of [4]
% 66.24/9.85 % Detected maximum model sizes of [max]
% 66.24/9.85 % TRYING [20]
% 66.24/9.85 % (977101)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3894565751:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 66.24/9.85 % Detected minimum model sizes of [4]
% 66.24/9.85 % Detected maximum model sizes of [max]
% 66.24/9.85 % TRYING [8]
% 66.24/9.85 % TRYING [8]
% 66.24/9.85 % (977096)Instruction limit reached!
% 66.24/9.85 % (977096)------------------------------
% 66.24/9.85 % (977096)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.24/9.85 % (977096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.24/9.85 % (977096)CaDiCaL version: 2.1.3
% 66.24/9.85 % (977096)Termination reason: Instruction limit
% 66.24/9.85 % (977096)Termination phase: Saturation
% 66.24/9.85 % (977096)Time elapsed: 0.506 s
% 66.24/9.85 % (977096)Peak memory usage: 17 MB
% 66.24/9.85 % (977096)Instructions burned: 880 (million)
% 66.24/9.85 % (977104)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1246663202:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 66.24/9.85 % TRYING [9]
% 66.24/9.85 % (977101)Instruction limit reached!
% 66.24/9.85 % (977101)------------------------------
% 66.24/9.85 % (977101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.24/9.85 % (977101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.24/9.85 % (977101)CaDiCaL version: 2.1.3
% 66.24/9.85 % (977101)Termination reason: Instruction limit
% 66.24/9.85 % (977101)Termination phase: Finite model building SAT solving
% 66.24/9.85 % (977101)Time elapsed: 0.461 s
% 66.24/9.85 % (977101)Peak memory usage: 57 MB
% 66.24/9.85 % (977101)Instructions burned: 920 (million)
% 66.24/9.85 % (977106)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=447141767:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 66.24/9.85 % TRYING [9]
% 66.24/9.85 % (977106)Instruction limit reached!
% 66.24/9.85 % (977106)------------------------------
% 66.24/9.85 % (977106)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.24/9.85 % (977106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.24/9.85 % (977106)CaDiCaL version: 2.1.3
% 66.24/9.85 % (977106)Termination reason: Instruction limit
% 66.24/9.85 % (977106)Termination phase: Saturation
% 66.24/9.85 % (977106)Time elapsed: 0.750 s
% 66.24/9.85 % (977106)Peak memory usage: 26 MB
% 66.24/9.85 % (977106)Instructions burned: 1472 (million)
% 66.24/9.85 % (977108)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1536511226:i=6324_2977 on theBenchmark for (2977ds/6324Mi)
% 66.24/9.85 % Detected minimum model sizes of [4]
% 66.24/9.85 % Detected maximum model sizes of [max]
% 66.24/9.85 % TRYING [77]
% 66.24/9.85 % TRYING [10]
% 66.24/9.85 % (977104)Instruction limit reached!
% 66.24/9.85 % (977104)------------------------------
% 66.24/9.85 % (977104)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.24/9.85 % (977104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.24/9.85 % (977104)CaDiCaL version: 2.1.3
% 66.24/9.85 % (977104)Termination reason: Instruction limit
% 66.24/9.85 % (977104)Termination phase: Saturation
% 66.24/9.85 % (977104)Time elapsed: 2.704 s
% 66.24/9.85 % (977104)Peak memory usage: 19 MB
% 66.24/9.85 % (977104)Instructions burned: 5133 (million)
% 66.24/9.85 % (977110)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2109917376:fmbsr=2.30978:i=2174_2961 on theBenchmark for (2961ds/2174Mi)
% 66.24/9.85 % Detected minimum model sizes of [4]
% 66.24/9.85 % Detected maximum model sizes of [max]
% 66.24/9.85 % TRYING [16]
% 66.24/9.85 % (977108)Instruction limit reached!
% 66.24/9.85 % (977108)------------------------------
% 66.24/9.85 % (977108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.24/9.85 % (977108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.24/9.85 % (977108)CaDiCaL version: 2.1.3
% 66.24/9.85 % (977108)Termination reason: Instruction limit
% 66.24/9.85 % (977108)Termination phase: Finite model building constraint generation
% 66.24/9.85 % (977108)Time elapsed: 2.215 s
% 66.24/9.85 % (977108)Peak memory usage: 430 MB
% 66.24/9.85 % (977108)Instructions burned: 6325 (million)
% 66.24/9.85 % (977112)ott-2_1_sil=16000:newcnf=on:random_seed=2957750110:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2954 on theBenchmark for (2954ds/869Mi)
% 66.24/9.85 % TRYING [10]
% 66.24/9.85 % (977110)Instruction limit reached!
% 66.24/9.85 % (977110)------------------------------
% 66.24/9.85 % (977110)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.24/9.85 % (977110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.24/9.85 % (977110)CaDiCaL version: 2.1.3
% 66.24/9.85 % (977110)Termination reason: Instruction limit
% 66.24/9.85 % (977110)Termination phase: Finite model building constraint generation
% 66.24/9.85 % (977110)Time elapsed: 0.773 s
% 66.24/9.85 % (977110)Peak memory usage: 163 MB
% 66.24/9.85 % (977110)Instructions burned: 2175 (million)
% 66.24/9.85 % (977114)ott+10_1_sil=32000:tgt=ground:random_seed=3708236133:i=5114:av=off_2953 on theBenchmark for (2953ds/5114Mi)
% 66.24/9.85 % (977112)Instruction limit reached!
% 66.24/9.85 % (977112)------------------------------
% 66.24/9.85 % (977112)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.24/9.85 % (977112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.24/9.85 % (977112)CaDiCaL version: 2.1.3
% 66.24/9.85 % (977112)Termination reason: Instruction limit
% 66.24/9.85 % (977112)Termination phase: Saturation
% 66.24/9.85 % (977112)Time elapsed: 0.520 s
% 66.24/9.85 % (977112)Peak memory usage: 17 MB
% 66.24/9.85 % (977112)Instructions burned: 870 (million)
% 66.24/9.85 % (977116)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=316016965:i=54282_2949 on theBenchmark for (2949ds/54282Mi)
% 66.24/9.85 % Detected minimum model sizes of [4]
% 66.24/9.85 % Detected maximum model sizes of [max]
% 66.24/9.85 % TRYING [4]
% 66.24/9.85 % TRYING [5]
% 66.24/9.85 % TRYING [6]
% 66.24/9.85 % TRYING [7]
% 66.24/9.85 % (977100)Instruction limit reached!
% 66.24/9.85 % (977100)------------------------------
% 66.24/9.85 % (977100)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.24/9.85 % (977100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.24/9.85 % (977100)CaDiCaL version: 2.1.3
% 66.24/9.85 % (977100)Termination reason: Instruction limit
% 66.24/9.85 % (977100)Termination phase: Finite model building constraint generation
% 66.24/9.85 % (977100)Time elapsed: 4.366 s
% 66.24/9.85 % (977100)Peak memory usage: 869 MB
% 66.24/9.85 % (977100)Instructions burned: 9515 (million)
% 66.24/9.85 % (977118)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=4080317729:i=3512:aac=none_2945 on theBenchmark for (2945ds/3512Mi)
% 66.24/9.85 % TRYING [8]
% 66.24/9.85 % TRYING [9]
% 66.24/9.85 % (977098)Instruction limit reached!
% 66.24/9.85 % (977098)------------------------------
% 66.24/9.85 % (977098)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.24/9.85 % (977098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.24/9.85 % (977098)CaDiCaL version: 2.1.3
% 66.24/9.85 % (977098)Termination reason: Instruction limit
% 66.24/9.85 % (977098)Termination phase: Finite model building SAT solving
% 66.24/9.85 % (977098)Time elapsed: 5.802 s
% 66.24/9.85 % (977098)Peak memory usage: 85 MB
% 66.24/9.85 % (977098)Instructions burned: 22063 (million)
% 66.24/9.85 % (977120)dis+21_1_sil=32000:sas=cadical:random_seed=2725316166:i=3773:amm=off_2935 on theBenchmark for (2935ds/3773Mi)
% 66.24/9.85 % (977118)Instruction limit reached!
% 66.24/9.85 % (977118)------------------------------
% 66.24/9.85 % (977118)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.24/9.85 % (977118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.24/9.85 % (977118)CaDiCaL version: 2.1.3
% 66.24/9.85 % (977118)Termination reason: Instruction limit
% 66.24/9.85 % (977118)Termination phase: Saturation
% 66.24/9.85 % (977118)Time elapsed: 1.948 s
% 66.24/9.85 % (977118)Peak memory usage: 18 MB
% 66.24/9.85 % (977118)Instructions burned: 3512 (million)
% 66.24/9.85 % (977122)ott+11_1_sil=16000:gs=on:random_seed=2103483960:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2925 on theBenchmark for (2925ds/2251Mi)
% 66.24/9.85 % (977120)Instruction limit reached!
% 66.24/9.85 % (977120)------------------------------
% 66.24/9.85 % (977120)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.24/9.85 % (977120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.24/9.85 % (977120)CaDiCaL version: 2.1.3
% 66.24/9.85 % (977120)Termination reason: Instruction limit
% 66.24/9.85 % (977120)Termination phase: Saturation
% 66.24/9.85 % (977120)Time elapsed: 1.277 s
% 66.24/9.85 % (977120)Peak memory usage: 32 MB
% 66.24/9.85 % (977120)Instructions burned: 3775 (million)
% 66.24/9.85 % (977124)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=3336225669:fmbsr=1.6:i=67534_2922 on theBenchmark for (2922ds/67534Mi)
% 66.24/9.85 % Detected minimum model sizes of [4]
% 66.24/9.85 % Detected maximum model sizes of [max]
% 66.24/9.85 % TRYING [7]
% 66.24/9.85 % (977114)Instruction limit reached!
% 66.24/9.85 % (977114)------------------------------
% 66.24/9.85 % (977114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.24/9.85 % (977114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.24/9.85 % (977114)CaDiCaL version: 2.1.3
% 66.24/9.85 % (977114)Termination reason: Instruction limit
% 66.24/9.85 % (977114)Termination phase: Saturation
% 66.24/9.85 % (977114)Time elapsed: 3.088 s
% 66.24/9.85 % (977114)Peak memory usage: 35 MB
% 66.24/9.85 % (977114)Instructions burned: 5115 (million)
% 66.24/9.85 % (977126)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=3970208554:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2922 on theBenchmark for (2922ds/4591Mi)
% 66.24/9.85 % TRYING [8]
% 66.24/9.85 % TRYING [9]
% 66.24/9.85 % (977122)Instruction limit reached!
% 66.24/9.85 % (977122)------------------------------
% 66.24/9.85 % (977122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.24/9.85 % (977122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.24/9.85 % (977122)CaDiCaL version: 2.1.3
% 66.24/9.85 % (977122)Termination reason: Instruction limit
% 66.24/9.85 % (977122)Termination phase: Saturation
% 66.24/9.85 % (977122)Time elapsed: 1.604 s
% 66.24/9.85 % (977122)Peak memory usage: 30 MB
% 66.24/9.85 % (977122)Instructions burned: 2251 (million)
% 66.24/9.85 % (977128)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=2313987503:i=29340_2909 on theBenchmark for (2909ds/29340Mi)
% 66.24/9.85 % TRYING [10]
% 66.24/9.85 % (977128) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-977059-977128"...
% 66.24/9.85 % (977128)...printing done.
% 66.24/9.85 % (977128)Refutation found. Thanks to Tanya!
% 66.24/9.85 % SZS status Theorem for theBenchmark
% 66.24/9.85 % SZS output start Proof for theBenchmark
% See solution above
% 66.24/9.85 % (977128)------------------------------
% 66.24/9.85 % (977128)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.24/9.85 % (977128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.24/9.85 % (977128)CaDiCaL version: 2.1.3
% 66.24/9.85 % (977128)Termination reason: Refutation
% 66.24/9.85 % (977128)Time elapsed: 0.326 s
% 66.24/9.85 % (977128)Peak memory usage: 17 MB
% 66.24/9.85 % (977128)Instructions burned: 625 (million)
% 66.24/9.85 % (977059)Success in time 9.432 s
% 66.24/9.85 % Vampire exiting
%------------------------------------------------------------------------------