%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PRO016+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 : n014.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 12:30:40 PM UTC 2026
% Result : Theorem 54.80s 22.32s
% Output : Refutation 54.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 15
% Syntax : Number of formulae : 91 ( 32 unt; 1 def)
% Number of atoms : 378 ( 11 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 445 ( 158 ~; 145 |; 122 &)
% ( 6 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-3 aty)
% Number of variables : 205 ( 168 !; 37 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( earlier(X0,X1)
=> ~ earlier(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04) ).
fof(f8,axiom,
! [X0,X1] :
( occurrence_of(X0,X1)
=> ( arboreal(X0)
<=> atomic(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).
fof(f11,axiom,
! [X0,X1] :
( precedes(X0,X1)
<=> ( earlier(X0,X1)
& legal(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_10) ).
fof(f16,axiom,
! [X0,X1,X2] :
( min_precedes(X0,X1,X2)
=> precedes(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_15) ).
fof(f23,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_22) ).
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(f35,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_34) ).
fof(f37,axiom,
! [X0,X1,X2,X3] :
( ( occurrence_of(X2,X3)
& ~ atomic(X3)
& leaf_occ(X0,X2)
& leaf_occ(X1,X2) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_36) ).
fof(f38,axiom,
! [X0,X1,X2] :
( ( occurrence_of(X0,X2)
& leaf_occ(X1,X0) )
=> ~ ? [X3] : min_precedes(X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_37) ).
fof(f41,axiom,
! [X0,X1,X2,X3] :
( ( next_subocc(X1,X0,X3)
& next_subocc(X2,X0,X3) )
=> X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_40) ).
fof(f50,axiom,
! [X0,X1] :
( ( occurrence_of(X1,tptp0)
& subactivity_occurrence(X0,X1)
& arboreal(X0)
& ~ leaf_occ(X0,X1) )
=> ? [X2,X3,X4] :
( occurrence_of(X2,tptp3)
& next_subocc(X0,X2,tptp0)
& occurrence_of(X3,tptp4)
& next_subocc(X2,X3,tptp0)
& ( occurrence_of(X4,tptp1)
| occurrence_of(X4,tptp2) )
& next_subocc(X3,X4,tptp0)
& leaf_occ(X4,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_49) ).
fof(f52,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_51) ).
fof(f53,axiom,
atomic(tptp4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_52) ).
fof(f63,conjecture,
! [X0,X1] :
( ( occurrence_of(X1,tptp0)
& subactivity_occurrence(X0,X1)
& arboreal(X0)
& ~ leaf_occ(X0,X1) )
=> ? [X2,X3] :
( occurrence_of(X2,tptp3)
& next_subocc(X0,X2,tptp0)
& ( occurrence_of(X3,tptp1)
| occurrence_of(X3,tptp2) )
& min_precedes(X2,X3,tptp0)
& leaf_occ(X3,X1)
& ( occurrence_of(X3,tptp1)
=> ~ ? [X4] :
( occurrence_of(X4,tptp2)
& min_precedes(X2,X4,tptp0) ) )
& ( occurrence_of(X3,tptp2)
=> ~ ? [X5] :
( occurrence_of(X5,tptp1)
& min_precedes(X2,X5,tptp0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f64,negated_conjecture,
~ ! [X0,X1] :
( ( occurrence_of(X1,tptp0)
& subactivity_occurrence(X0,X1)
& arboreal(X0)
& ~ leaf_occ(X0,X1) )
=> ? [X2,X3] :
( occurrence_of(X2,tptp3)
& next_subocc(X0,X2,tptp0)
& ( occurrence_of(X3,tptp1)
| occurrence_of(X3,tptp2) )
& min_precedes(X2,X3,tptp0)
& leaf_occ(X3,X1)
& ( occurrence_of(X3,tptp1)
=> ~ ? [X4] :
( occurrence_of(X4,tptp2)
& min_precedes(X2,X4,tptp0) ) )
& ( occurrence_of(X3,tptp2)
=> ~ ? [X5] :
( occurrence_of(X5,tptp1)
& min_precedes(X2,X5,tptp0) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f63]) ).
fof(f71,plain,
! [X0,X1] :
( ~ earlier(X1,X0)
| ~ earlier(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f76,plain,
! [X0,X1] :
( ( arboreal(X0)
<=> atomic(X1) )
| ~ occurrence_of(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f84,plain,
! [X0,X1,X2] :
( precedes(X0,X1)
| ~ min_precedes(X0,X1,X2) ),
inference(ennf_transformation,[],[f16]) ).
fof(f94,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,[],[f23]) ).
fof(f103,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(f104,plain,
! [X0,X1,X2,X3] :
( subactivity_occurrence(X0,X3)
| ~ min_precedes(X0,X1,X2)
| ~ occurrence_of(X3,X2)
| ~ subactivity_occurrence(X1,X3) ),
inference(flattening,[],[f103]) ).
fof(f114,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ occurrence_of(X2,X3)
| atomic(X3)
| ~ leaf_occ(X0,X2)
| ~ leaf_occ(X1,X2) ),
inference(ennf_transformation,[],[f37]) ).
fof(f115,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ occurrence_of(X2,X3)
| atomic(X3)
| ~ leaf_occ(X0,X2)
| ~ leaf_occ(X1,X2) ),
inference(flattening,[],[f114]) ).
fof(f116,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X1,X3,X2)
| ~ occurrence_of(X0,X2)
| ~ leaf_occ(X1,X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f117,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X1,X3,X2)
| ~ occurrence_of(X0,X2)
| ~ leaf_occ(X1,X0) ),
inference(flattening,[],[f116]) ).
fof(f122,plain,
! [X0,X1,X2,X3] :
( X1 = X2
| ~ next_subocc(X1,X0,X3)
| ~ next_subocc(X2,X0,X3) ),
inference(ennf_transformation,[],[f41]) ).
fof(f123,plain,
! [X0,X1,X2,X3] :
( X1 = X2
| ~ next_subocc(X1,X0,X3)
| ~ next_subocc(X2,X0,X3) ),
inference(flattening,[],[f122]) ).
fof(f138,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( occurrence_of(X2,tptp3)
& next_subocc(X0,X2,tptp0)
& occurrence_of(X3,tptp4)
& next_subocc(X2,X3,tptp0)
& ( occurrence_of(X4,tptp1)
| occurrence_of(X4,tptp2) )
& next_subocc(X3,X4,tptp0)
& leaf_occ(X4,X1) )
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(ennf_transformation,[],[f50]) ).
fof(f139,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( occurrence_of(X2,tptp3)
& next_subocc(X0,X2,tptp0)
& occurrence_of(X3,tptp4)
& next_subocc(X2,X3,tptp0)
& ( occurrence_of(X4,tptp1)
| occurrence_of(X4,tptp2) )
& next_subocc(X3,X4,tptp0)
& leaf_occ(X4,X1) )
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(flattening,[],[f138]) ).
fof(f140,plain,
? [X0,X1] :
( ! [X2,X3] :
( ~ occurrence_of(X2,tptp3)
| ~ next_subocc(X0,X2,tptp0)
| ( ~ occurrence_of(X3,tptp1)
& ~ occurrence_of(X3,tptp2) )
| ~ min_precedes(X2,X3,tptp0)
| ~ leaf_occ(X3,X1)
| ( ? [X4] :
( occurrence_of(X4,tptp2)
& min_precedes(X2,X4,tptp0) )
& occurrence_of(X3,tptp1) )
| ( ? [X5] :
( occurrence_of(X5,tptp1)
& min_precedes(X2,X5,tptp0) )
& occurrence_of(X3,tptp2) ) )
& occurrence_of(X1,tptp0)
& subactivity_occurrence(X0,X1)
& arboreal(X0)
& ~ leaf_occ(X0,X1) ),
inference(ennf_transformation,[],[f64]) ).
fof(f141,plain,
? [X0,X1] :
( ! [X2,X3] :
( ~ occurrence_of(X2,tptp3)
| ~ next_subocc(X0,X2,tptp0)
| ( ~ occurrence_of(X3,tptp1)
& ~ occurrence_of(X3,tptp2) )
| ~ min_precedes(X2,X3,tptp0)
| ~ leaf_occ(X3,X1)
| ( ? [X4] :
( occurrence_of(X4,tptp2)
& min_precedes(X2,X4,tptp0) )
& occurrence_of(X3,tptp1) )
| ( ? [X5] :
( occurrence_of(X5,tptp1)
& min_precedes(X2,X5,tptp0) )
& occurrence_of(X3,tptp2) ) )
& occurrence_of(X1,tptp0)
& subactivity_occurrence(X0,X1)
& arboreal(X0)
& ~ leaf_occ(X0,X1) ),
inference(flattening,[],[f140]) ).
fof(f142,definition,
! [X2,X3] :
( ( ? [X5] :
( occurrence_of(X5,tptp1)
& min_precedes(X2,X5,tptp0) )
& occurrence_of(X3,tptp2) )
| ~ sP0(X2,X3) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f143,plain,
? [X0,X1] :
( ! [X2,X3] :
( ~ occurrence_of(X2,tptp3)
| ~ next_subocc(X0,X2,tptp0)
| ( ~ occurrence_of(X3,tptp1)
& ~ occurrence_of(X3,tptp2) )
| ~ min_precedes(X2,X3,tptp0)
| ~ leaf_occ(X3,X1)
| ( ? [X4] :
( occurrence_of(X4,tptp2)
& min_precedes(X2,X4,tptp0) )
& occurrence_of(X3,tptp1) )
| sP0(X2,X3) )
& occurrence_of(X1,tptp0)
& subactivity_occurrence(X0,X1)
& arboreal(X0)
& ~ leaf_occ(X0,X1) ),
inference(definition_folding,[],[f141,f142]) ).
fof(f145,plain,
! [X0,X1] :
( ( ( arboreal(X0)
| ~ atomic(X1) )
& ( atomic(X1)
| ~ arboreal(X0) ) )
| ~ occurrence_of(X0,X1) ),
inference(nnf_transformation,[],[f76]) ).
fof(f146,plain,
! [X0,X1] :
( ( precedes(X0,X1)
| ~ earlier(X0,X1)
| ~ legal(X1) )
& ( ( earlier(X0,X1)
& legal(X1) )
| ~ precedes(X0,X1) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f147,plain,
! [X0,X1] :
( ( precedes(X0,X1)
| ~ earlier(X0,X1)
| ~ legal(X1) )
& ( ( earlier(X0,X1)
& legal(X1) )
| ~ precedes(X0,X1) ) ),
inference(flattening,[],[f146]) ).
fof(f155,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,[],[f94]) ).
fof(f156,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,[],[f155]) ).
fof(f157,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,[],[f156]) ).
fof(f158,plain,
! [X0,X1,X2] :
( ( next_subocc(X0,X1,X2)
| ~ min_precedes(X0,X1,X2)
| ( min_precedes(X0,sK8(X0,X1,X2),X2)
& min_precedes(sK8(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,[sK8]),skolemize(X3,sK8(X0,X1,X2))],[f157]) ).
fof(f166,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,[],[f35]) ).
fof(f167,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,[],[f166]) ).
fof(f168,plain,
! [X0,X1] :
( ( leaf_occ(X0,X1)
| ! [X2] :
( ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ leaf(X0,X2) ) )
& ( ( occurrence_of(X1,sK14(X0,X1))
& subactivity_occurrence(X0,X1)
& leaf(X0,sK14(X0,X1)) )
| ~ leaf_occ(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X3,sK14(X0,X1))],[f167]) ).
fof(f170,plain,
! [X0,X1] :
( ( occurrence_of(sK16(X0,X1),tptp3)
& next_subocc(X0,sK16(X0,X1),tptp0)
& occurrence_of(sK17(X0,X1),tptp4)
& next_subocc(sK16(X0,X1),sK17(X0,X1),tptp0)
& ( occurrence_of(sK18(X0,X1),tptp1)
| occurrence_of(sK18(X0,X1),tptp2) )
& next_subocc(sK17(X0,X1),sK18(X0,X1),tptp0)
& leaf_occ(sK18(X0,X1),X1) )
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16,sK17,sK18]),skolemize(X2,sK16(X0,X1)),skolemize(X3,sK17(X0,X1)),skolemize(X4,sK18(X0,X1))],[f139]) ).
fof(f174,plain,
( ! [X2,X3] :
( ~ occurrence_of(X2,tptp3)
| ~ next_subocc(sK20,X2,tptp0)
| ( ~ occurrence_of(X3,tptp1)
& ~ occurrence_of(X3,tptp2) )
| ~ min_precedes(X2,X3,tptp0)
| ~ leaf_occ(X3,sK21)
| ( occurrence_of(sK22(X2),tptp2)
& min_precedes(X2,sK22(X2),tptp0)
& occurrence_of(X3,tptp1) )
| sP0(X2,X3) )
& occurrence_of(sK21,tptp0)
& subactivity_occurrence(sK20,sK21)
& arboreal(sK20)
& ~ leaf_occ(sK20,sK21) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X4,sK22(X2))],[f143]) ).
fof(f181,plain,
! [X0,X1] :
( ~ earlier(X1,X0)
| ~ earlier(X0,X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f185,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ~ atomic(X1)
| arboreal(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f189,plain,
! [X0,X1] :
( ~ precedes(X0,X1)
| earlier(X0,X1) ),
inference(cnf_transformation,[],[f147]) ).
fof(f200,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| precedes(X0,X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f211,plain,
! [X2,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f158]) ).
fof(f228,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,[],[f104]) ).
fof(f235,plain,
! [X0,X1] :
( ~ leaf_occ(X0,X1)
| subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f168]) ).
fof(f239,plain,
! [X2,X3,X0,X1] :
( ~ leaf_occ(X1,X2)
| ~ occurrence_of(X2,X3)
| atomic(X3)
| ~ leaf_occ(X0,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f115]) ).
fof(f240,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X1,X3,X2)
| ~ occurrence_of(X0,X2)
| ~ leaf_occ(X1,X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f243,plain,
! [X2,X3,X0,X1] :
( ~ next_subocc(X2,X0,X3)
| ~ next_subocc(X1,X0,X3)
| X1 = X2 ),
inference(cnf_transformation,[],[f123]) ).
fof(f254,plain,
! [X0,X1] :
( ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| leaf_occ(sK18(X0,X1),X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f170]) ).
fof(f255,plain,
! [X0,X1] :
( ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| next_subocc(sK17(X0,X1),sK18(X0,X1),tptp0)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f170]) ).
fof(f257,plain,
! [X0,X1] :
( ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| next_subocc(sK16(X0,X1),sK17(X0,X1),tptp0)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f170]) ).
fof(f258,plain,
! [X0,X1] :
( ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| occurrence_of(sK17(X0,X1),tptp4)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f170]) ).
fof(f259,plain,
! [X0,X1] :
( ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| next_subocc(X0,sK16(X0,X1),tptp0)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f170]) ).
fof(f262,plain,
~ atomic(tptp0),
inference(cnf_transformation,[],[f52]) ).
fof(f263,plain,
atomic(tptp4),
inference(cnf_transformation,[],[f53]) ).
fof(f276,plain,
~ leaf_occ(sK20,sK21),
inference(cnf_transformation,[],[f174]) ).
fof(f277,plain,
arboreal(sK20),
inference(cnf_transformation,[],[f174]) ).
fof(f278,plain,
subactivity_occurrence(sK20,sK21),
inference(cnf_transformation,[],[f174]) ).
fof(f279,plain,
occurrence_of(sK21,tptp0),
inference(cnf_transformation,[],[f174]) ).
fof(f8289,plain,
leaf_occ(sK18(sK20,sK21),sK21),
inference(unit_resulting_resolution,[],[f254,f277,f276,f278,f279]) ).
fof(f8349,plain,
subactivity_occurrence(sK18(sK20,sK21),sK21),
inference(unit_resulting_resolution,[],[f235,f8289]) ).
fof(f8974,plain,
occurrence_of(sK17(sK20,sK21),tptp4),
inference(unit_resulting_resolution,[],[f258,f277,f276,f278,f279]) ).
fof(f9045,plain,
arboreal(sK17(sK20,sK21)),
inference(unit_resulting_resolution,[],[f185,f263,f8974]) ).
fof(f12468,plain,
next_subocc(sK17(sK20,sK21),sK18(sK20,sK21),tptp0),
inference(unit_resulting_resolution,[],[f255,f277,f276,f278,f279]) ).
fof(f16353,plain,
min_precedes(sK17(sK20,sK21),sK18(sK20,sK21),tptp0),
inference(unit_resulting_resolution,[],[f211,f12468]) ).
fof(f16362,plain,
! [X0] :
( ~ next_subocc(X0,sK18(sK20,sK21),tptp0)
| sK17(sK20,sK21) = X0 ),
inference(resolution,[],[f12468,f243]) ).
fof(f16507,plain,
subactivity_occurrence(sK17(sK20,sK21),sK21),
inference(unit_resulting_resolution,[],[f228,f279,f8349,f16353]) ).
fof(f16521,plain,
~ leaf_occ(sK17(sK20,sK21),sK21),
inference(unit_resulting_resolution,[],[f240,f279,f16353]) ).
fof(f16645,plain,
leaf_occ(sK18(sK17(sK20,sK21),sK21),sK21),
inference(unit_resulting_resolution,[],[f254,f279,f9045,f16507,f16521]) ).
fof(f16646,plain,
next_subocc(sK17(sK17(sK20,sK21),sK21),sK18(sK17(sK20,sK21),sK21),tptp0),
inference(unit_resulting_resolution,[],[f255,f279,f9045,f16507,f16521]) ).
fof(f16647,plain,
next_subocc(sK16(sK17(sK20,sK21),sK21),sK17(sK17(sK20,sK21),sK21),tptp0),
inference(unit_resulting_resolution,[],[f257,f279,f9045,f16507,f16521]) ).
fof(f16649,plain,
next_subocc(sK17(sK20,sK21),sK16(sK17(sK20,sK21),sK21),tptp0),
inference(unit_resulting_resolution,[],[f259,f279,f9045,f16507,f16521]) ).
fof(f16951,plain,
sK18(sK20,sK21) = sK18(sK17(sK20,sK21),sK21),
inference(unit_resulting_resolution,[],[f239,f262,f279,f8289,f16645]) ).
fof(f32910,plain,
min_precedes(sK17(sK20,sK21),sK16(sK17(sK20,sK21),sK21),tptp0),
inference(unit_resulting_resolution,[],[f211,f16649]) ).
fof(f35510,plain,
precedes(sK17(sK20,sK21),sK16(sK17(sK20,sK21),sK21)),
inference(unit_resulting_resolution,[],[f200,f32910]) ).
fof(f35726,plain,
earlier(sK17(sK20,sK21),sK16(sK17(sK20,sK21),sK21)),
inference(unit_resulting_resolution,[],[f189,f35510]) ).
fof(f35871,plain,
~ earlier(sK16(sK17(sK20,sK21),sK21),sK17(sK20,sK21)),
inference(unit_resulting_resolution,[],[f181,f35726]) ).
fof(f35990,plain,
~ precedes(sK16(sK17(sK20,sK21),sK21),sK17(sK20,sK21)),
inference(unit_resulting_resolution,[],[f189,f35871]) ).
fof(f36035,plain,
! [X0] : ~ min_precedes(sK16(sK17(sK20,sK21),sK21),sK17(sK20,sK21),X0),
inference(unit_resulting_resolution,[],[f200,f35990]) ).
fof(f42282,plain,
! [X0] : ~ next_subocc(sK16(sK17(sK20,sK21),sK21),sK17(sK20,sK21),X0),
inference(unit_resulting_resolution,[],[f211,f36035]) ).
fof(f102965,plain,
next_subocc(sK17(sK17(sK20,sK21),sK21),sK18(sK20,sK21),tptp0),
inference(forward_demodulation,[],[f16646,f16951]) ).
fof(f102966,plain,
sK17(sK20,sK21) = sK17(sK17(sK20,sK21),sK21),
inference(unit_resulting_resolution,[],[f16362,f102965]) ).
fof(f103027,plain,
next_subocc(sK16(sK17(sK20,sK21),sK21),sK17(sK20,sK21),tptp0),
inference(forward_demodulation,[],[f16647,f102966]) ).
fof(f103028,plain,
$false,
inference(forward_subsumption_resolution,[],[f103027,f42282]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PRO016+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n014.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 22:22:32 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 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
% 15.52/2.63 % (1227130)Will run a generic schedule for satisfiability detection.
% 15.52/2.63 % (1227136)% WARNING: option uhcvi not known.
% 15.52/2.63 % (1227137)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1567487286:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.52/2.63 % (1227136)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=355878034:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.52/2.63 % (1227138)dis+10_1_sil=32000:sp=arity:random_seed=2116222363:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.52/2.63 % (1227139)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2948728306:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.52/2.63 % (1227140)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1878484384:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.52/2.63 % (1227141)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2500739721:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.52/2.63 % (1227135)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=672229132_2999 on theBenchmark for (2999ds/0Mi)
% 15.52/2.63 % Detected minimum model sizes of [4]
% 15.52/2.63 % Detected maximum model sizes of [max]
% 15.52/2.63 % TRYING [4]
% 15.52/2.63 % TRYING [5]
% 15.52/2.63 % TRYING [6]
% 15.52/2.63 % (1227139)Instruction limit reached!
% 15.52/2.63 % (1227139)------------------------------
% 15.52/2.63 % (1227139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.52/2.63 % (1227139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.52/2.63 % (1227139)CaDiCaL version: 2.1.3
% 15.52/2.63 % (1227139)Termination reason: Instruction limit
% 15.52/2.63 % (1227139)Termination phase: Saturation
% 15.52/2.63 % (1227139)Time elapsed: 0.065 s
% 15.52/2.63 % (1227139)Peak memory usage: 12 MB
% 15.52/2.63 % (1227139)Instructions burned: 117 (million)
% 15.52/2.63 % (1227138)Instruction limit reached!
% 15.52/2.63 % (1227138)------------------------------
% 15.52/2.63 % (1227138)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.52/2.63 % (1227138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.52/2.63 % (1227138)CaDiCaL version: 2.1.3
% 15.52/2.63 % (1227138)Termination reason: Instruction limit
% 15.52/2.63 % (1227138)Termination phase: Saturation
% 15.52/2.63 % (1227138)Time elapsed: 0.071 s
% 15.52/2.63 % (1227138)Peak memory usage: 12 MB
% 15.52/2.63 % (1227138)Instructions burned: 103 (million)
% 15.52/2.63 % (1227149)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4090770921:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 15.52/2.63 % TRYING [7]
% 15.52/2.63 % (1227140)Instruction limit reached!
% 15.52/2.63 % (1227140)------------------------------
% 15.52/2.63 % (1227140)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.52/2.63 % Detected minimum model sizes of [4]
% 15.52/2.63 % Detected maximum model sizes of [max]
% 15.52/2.63 % (1227140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.52/2.63 % (1227140)CaDiCaL version: 2.1.3
% 15.52/2.63 % (1227140)Termination reason: Instruction limit
% 15.52/2.63 % (1227140)Termination phase: Saturation
% 15.52/2.63 % (1227140)Time elapsed: 0.091 s
% 15.52/2.63 % (1227140)Peak memory usage: 13 MB
% 15.52/2.63 % (1227140)Instructions burned: 132 (million)
% 15.52/2.63 % TRYING [4]
% 15.52/2.63 % (1227150)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2308553065:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 15.52/2.63 % TRYING [5]
% 15.52/2.63 % (1227153)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=593751895:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 15.52/2.63 % (1227141)Instruction limit reached!
% 15.52/2.63 % (1227141)------------------------------
% 15.52/2.63 % (1227141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.52/2.63 % (1227141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.52/2.63 % (1227141)CaDiCaL version: 2.1.3
% 15.52/2.63 % (1227141)Termination reason: Instruction limit
% 15.52/2.63 % (1227141)Termination phase: Saturation
% 15.52/2.63 % (1227141)Time elapsed: 0.115 s
% 15.52/2.63 % (1227141)Peak memory usage: 13 MB
% 15.52/2.63 % (1227141)Instructions burned: 159 (million)
% 15.52/2.63 % (1227155)ott-21_1_sil=16000:fs=off:random_seed=4121399516:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 15.52/2.63 % TRYING [6]
% 15.52/2.63 % (1227150)Instruction limit reached!
% 15.52/2.63 % (1227150)------------------------------
% 32.31/5.76 % (1227150)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.31/5.76 % (1227150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.31/5.76 % (1227150)CaDiCaL version: 2.1.3
% 32.31/5.76 % (1227150)Termination reason: Instruction limit
% 32.31/5.76 % (1227150)Termination phase: Saturation
% 32.31/5.76 % (1227150)Time elapsed: 0.084 s
% 32.31/5.76 % (1227150)Peak memory usage: 13 MB
% 32.31/5.76 % (1227150)Instructions burned: 131 (million)
% 32.31/5.76 % TRYING [8]
% 32.31/5.76 % (1227157)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2539409434:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 32.31/5.76 % (1227155)Instruction limit reached!
% 32.31/5.76 % (1227155)------------------------------
% 32.31/5.76 % (1227155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.31/5.76 % (1227155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.31/5.76 % (1227155)CaDiCaL version: 2.1.3
% 32.31/5.76 % (1227155)Termination reason: Instruction limit
% 32.31/5.76 % (1227155)Termination phase: Saturation
% 32.31/5.76 % (1227155)Time elapsed: 0.095 s
% 32.31/5.76 % (1227155)Peak memory usage: 13 MB
% 32.31/5.76 % (1227155)Instructions burned: 182 (million)
% 32.31/5.76 % TRYING [7]
% 32.31/5.76 % (1227159)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2911235662:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 32.31/5.76 % Detected minimum model sizes of [4]
% 32.31/5.76 % Detected maximum model sizes of [max]
% 32.31/5.76 % TRYING [4]
% 32.31/5.76 % TRYING [5]
% 32.31/5.76 % (1227149)Instruction limit reached!
% 32.31/5.76 % (1227149)------------------------------
% 32.31/5.76 % (1227149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.31/5.76 % (1227149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.31/5.76 % (1227149)CaDiCaL version: 2.1.3
% 32.31/5.76 % (1227149)Termination reason: Instruction limit
% 32.31/5.76 % (1227149)Termination phase: Finite model building SAT solving
% 32.31/5.76 % (1227149)Time elapsed: 0.281 s
% 32.31/5.76 % (1227149)Peak memory usage: 33 MB
% 32.31/5.76 % (1227149)Instructions burned: 714 (million)
% 32.31/5.76 % TRYING [6]
% 32.31/5.76 % TRYING [9]
% 32.31/5.76 % (1227161)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4031977305:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 32.31/5.76 % (1227157)Instruction limit reached!
% 32.31/5.76 % (1227157)------------------------------
% 32.31/5.76 % (1227157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.31/5.76 % (1227157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.31/5.76 % (1227157)CaDiCaL version: 2.1.3
% 32.31/5.76 % (1227157)Termination reason: Instruction limit
% 32.31/5.76 % (1227157)Termination phase: Saturation
% 32.31/5.76 % (1227157)Time elapsed: 0.342 s
% 32.31/5.76 % (1227157)Peak memory usage: 15 MB
% 32.31/5.76 % (1227157)Instructions burned: 477 (million)
% 32.31/5.76 % (1227153)Instruction limit reached!
% 32.31/5.76 % (1227153)------------------------------
% 32.31/5.76 % (1227153)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.31/5.76 % (1227153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.31/5.76 % (1227153)CaDiCaL version: 2.1.3
% 32.31/5.76 % (1227153)Termination reason: Instruction limit
% 32.31/5.76 % (1227153)Termination phase: Saturation
% 32.31/5.76 % (1227153)Time elapsed: 0.429 s
% 32.31/5.76 % (1227153)Peak memory usage: 20 MB
% 32.31/5.76 % (1227153)Instructions burned: 684 (million)
% 32.31/5.76 % TRYING [7]
% 32.31/5.76 % (1227163)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3384055746:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 32.31/5.76 % (1227164)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=2087190454: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)
% 32.31/5.76 % (1227159)Instruction limit reached!
% 32.31/5.76 % (1227159)------------------------------
% 32.31/5.76 % (1227159)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.31/5.76 % (1227159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.31/5.76 % (1227159)CaDiCaL version: 2.1.3
% 32.31/5.76 % (1227159)Termination reason: Instruction limit
% 32.31/5.76 % (1227159)Termination phase: Finite model building constraint generation
% 32.31/5.76 % (1227159)Time elapsed: 0.322 s
% 32.31/5.76 % (1227159)Peak memory usage: 21 MB
% 32.31/5.76 % (1227159)Instructions burned: 866 (million)
% 85.02/12.45 % (1227167)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2901702641:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 85.02/12.45 % TRYING [14]
% 85.02/12.45 % TRYING [10]
% 85.02/12.45 % (1227163)Instruction limit reached!
% 85.02/12.45 % (1227163)------------------------------
% 85.02/12.45 % (1227163)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.02/12.45 % (1227163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.02/12.45 % (1227163)CaDiCaL version: 2.1.3
% 85.02/12.45 % (1227163)Termination reason: Instruction limit
% 85.02/12.45 % (1227163)Termination phase: Finite model building constraint generation
% 85.02/12.45 % (1227163)Time elapsed: 0.324 s
% 85.02/12.45 % (1227163)Peak memory usage: 73 MB
% 85.02/12.45 % (1227163)Instructions burned: 892 (million)
% 85.02/12.45 % (1227169)fmb+10_1_sil=64000:random_seed=4280961423:i=22061:nm=2:gsp=on_2990 on theBenchmark for (2990ds/22061Mi)
% 85.02/12.45 % Detected minimum model sizes of [4]
% 85.02/12.45 % Detected maximum model sizes of [max]
% 85.02/12.45 % TRYING [4]
% 85.02/12.45 % TRYING [5]
% 85.02/12.45 % (1227164)Instruction limit reached!
% 85.02/12.45 % (1227164)------------------------------
% 85.02/12.45 % (1227164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.02/12.45 % (1227164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.02/12.45 % (1227164)CaDiCaL version: 2.1.3
% 85.02/12.45 % (1227164)Termination reason: Instruction limit
% 85.02/12.45 % (1227164)Termination phase: Saturation
% 85.02/12.45 % (1227164)Time elapsed: 0.386 s
% 85.02/12.45 % (1227164)Peak memory usage: 20 MB
% 85.02/12.45 % (1227164)Instructions burned: 692 (million)
% 85.02/12.45 % (1227171)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1369404054:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 85.02/12.45 % Detected minimum model sizes of [4]
% 85.02/12.45 % Detected maximum model sizes of [max]
% 85.02/12.45 % TRYING [20]
% 85.02/12.45 % TRYING [6]
% 85.02/12.45 % (1227167)Instruction limit reached!
% 85.02/12.45 % (1227167)------------------------------
% 85.02/12.45 % (1227167)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.02/12.45 % (1227167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.02/12.45 % (1227167)CaDiCaL version: 2.1.3
% 85.02/12.45 % (1227167)Termination reason: Instruction limit
% 85.02/12.45 % (1227167)Termination phase: Saturation
% 85.02/12.45 % (1227167)Time elapsed: 0.510 s
% 85.02/12.45 % (1227167)Peak memory usage: 17 MB
% 85.02/12.45 % (1227167)Instructions burned: 879 (million)
% 85.02/12.45 % (1227161)Instruction limit reached!
% 85.02/12.45 % (1227161)------------------------------
% 85.02/12.45 % (1227161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.02/12.45 % (1227161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.02/12.45 % (1227161)CaDiCaL version: 2.1.3
% 85.02/12.45 % (1227161)Termination reason: Instruction limit
% 85.02/12.45 % (1227161)Termination phase: Saturation
% 85.02/12.45 % (1227161)Time elapsed: 0.733 s
% 85.02/12.45 % (1227161)Peak memory usage: 22 MB
% 85.02/12.45 % (1227161)Instructions burned: 1179 (million)
% 85.02/12.45 % (1227173)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3667793211:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 85.02/12.45 % (1227174)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2558432618:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 85.02/12.45 % Detected minimum model sizes of [4]
% 85.02/12.45 % Detected maximum model sizes of [max]
% 85.02/12.45 % TRYING [8]
% 85.02/12.45 % TRYING [7]
% 85.02/12.45 % TRYING [11]
% 85.02/12.45 % TRYING [9]
% 85.02/12.45 % (1227173)Instruction limit reached!
% 85.02/12.45 % (1227173)------------------------------
% 85.02/12.45 % (1227173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.02/12.45 % (1227173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.02/12.45 % (1227173)CaDiCaL version: 2.1.3
% 85.02/12.45 % (1227173)Termination reason: Instruction limit
% 85.02/12.45 % (1227173)Termination phase: Finite model building constraint generation
% 85.02/12.45 % (1227173)Time elapsed: 0.393 s
% 85.02/12.45 % (1227173)Peak memory usage: 52 MB
% 85.02/12.45 % (1227173)Instructions burned: 922 (million)
% 85.02/12.45 % (1227177)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2254714005:i=1472:ins=7:fdi=8:gsp=on_2984 on theBenchmark for (2984ds/1472Mi)
% 85.02/12.45 % TRYING [8]
% 85.02/12.45 % (1227177)Instruction limit reached!
% 85.02/12.45 % (1227177)------------------------------
% 85.02/12.45 % (1227177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.02/12.45 % (1227177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.80/22.32 % (1227177)CaDiCaL version: 2.1.3
% 54.80/22.32 % (1227177)Termination reason: Instruction limit
% 54.80/22.32 % (1227177)Termination phase: Saturation
% 54.80/22.32 % (1227177)Time elapsed: 0.636 s
% 54.80/22.32 % (1227177)Peak memory usage: 25 MB
% 54.80/22.32 % (1227177)Instructions burned: 1474 (million)
% 54.80/22.32 % (1227179)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3861544717:i=6324_2977 on theBenchmark for (2977ds/6324Mi)
% 54.80/22.32 % Detected minimum model sizes of [4]
% 54.80/22.32 % Detected maximum model sizes of [max]
% 54.80/22.32 % TRYING [77]
% 54.80/22.32 % TRYING [9]
% 54.80/22.32 % TRYING [12]
% 54.80/22.32 % TRYING [10]
% 54.80/22.32 % (1227174)Instruction limit reached!
% 54.80/22.32 % (1227174)------------------------------
% 54.80/22.32 % (1227174)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.80/22.32 % (1227174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.80/22.32 % (1227174)CaDiCaL version: 2.1.3
% 54.80/22.32 % (1227174)Termination reason: Instruction limit
% 54.80/22.32 % (1227174)Termination phase: Saturation
% 54.80/22.32 % (1227174)Time elapsed: 2.791 s
% 54.80/22.32 % (1227174)Peak memory usage: 19 MB
% 54.80/22.32 % (1227174)Instructions burned: 5133 (million)
% 54.80/22.32 % (1227181)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=89050089:fmbsr=2.30978:i=2174_2960 on theBenchmark for (2960ds/2174Mi)
% 54.80/22.32 % Detected minimum model sizes of [4]
% 54.80/22.32 % Detected maximum model sizes of [max]
% 54.80/22.32 % TRYING [16]
% 54.80/22.32 % (1227179)Instruction limit reached!
% 54.80/22.32 % (1227179)------------------------------
% 54.80/22.32 % (1227179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.80/22.32 % (1227179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.80/22.32 % (1227179)CaDiCaL version: 2.1.3
% 54.80/22.32 % (1227179)Termination reason: Instruction limit
% 54.80/22.32 % (1227179)Termination phase: Finite model building constraint generation
% 54.80/22.32 % (1227179)Time elapsed: 2.111 s
% 54.80/22.32 % (1227179)Peak memory usage: 387 MB
% 54.80/22.32 % (1227179)Instructions burned: 6325 (million)
% 54.80/22.32 % (1227183)ott-2_1_sil=16000:newcnf=on:random_seed=2477667356:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2955 on theBenchmark for (2955ds/869Mi)
% 54.80/22.32 % (1227181)Instruction limit reached!
% 54.80/22.32 % (1227181)------------------------------
% 54.80/22.32 % (1227181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.80/22.32 % (1227181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.80/22.32 % (1227181)CaDiCaL version: 2.1.3
% 54.80/22.32 % (1227181)Termination reason: Instruction limit
% 54.80/22.32 % (1227181)Termination phase: Finite model building constraint generation
% 54.80/22.32 % (1227181)Time elapsed: 0.760 s
% 54.80/22.32 % (1227181)Peak memory usage: 152 MB
% 54.80/22.32 % (1227181)Instructions burned: 2176 (million)
% 54.80/22.32 % (1227185)ott+10_1_sil=32000:tgt=ground:random_seed=1122669573:i=5114:av=off_2952 on theBenchmark for (2952ds/5114Mi)
% 54.80/22.32 % TRYING [13]
% 54.80/22.32 % (1227183)Instruction limit reached!
% 54.80/22.32 % (1227183)------------------------------
% 54.80/22.32 % (1227183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.80/22.32 % (1227183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.80/22.32 % (1227183)CaDiCaL version: 2.1.3
% 54.80/22.32 % (1227183)Termination reason: Instruction limit
% 54.80/22.32 % (1227183)Termination phase: Saturation
% 54.80/22.32 % (1227183)Time elapsed: 0.524 s
% 54.80/22.32 % (1227183)Peak memory usage: 16 MB
% 54.80/22.32 % (1227183)Instructions burned: 870 (million)
% 54.80/22.32 % (1227187)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3151355006:i=54282_2950 on theBenchmark for (2950ds/54282Mi)
% 54.80/22.32 % Detected minimum model sizes of [4]
% 54.80/22.32 % Detected maximum model sizes of [max]
% 54.80/22.32 % TRYING [4]
% 54.80/22.32 % TRYING [5]
% 54.80/22.32 % TRYING [6]
% 54.80/22.32 % TRYING [7]
% 54.80/22.32 % (1227171)Instruction limit reached!
% 54.80/22.32 % (1227171)------------------------------
% 54.80/22.32 % (1227171)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.80/22.32 % (1227171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.80/22.32 % (1227171)CaDiCaL version: 2.1.3
% 54.80/22.32 % (1227171)Termination reason: Instruction limit
% 54.80/22.32 % (1227171)Termination phase: Finite model building constraint generation
% 54.80/22.32 % (1227171)Time elapsed: 4.232 s
% 54.80/22.32 % (1227171)Peak memory usage: 853 MB
% 54.80/22.32 % (1227171)Instructions burned: 9515 (million)
% 54.80/22.32 % TRYING [8]
% 54.80/22.32 % (1227189)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1232366994:i=3512:aac=none_2946 on theBenchmark for (2946ds/3512Mi)
% 54.80/22.32 % TRYING [9]
% 54.80/22.32 % TRYING [11]
% 54.80/22.32 % TRYING [10]
% 54.80/22.32 % TRYING [11]
% 54.80/22.32 % (1227189)Instruction limit reached!
% 54.80/22.32 % (1227189)------------------------------
% 54.80/22.32 % (1227189)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.80/22.32 % (1227189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.80/22.32 % (1227189)CaDiCaL version: 2.1.3
% 54.80/22.32 % (1227189)Termination reason: Instruction limit
% 54.80/22.32 % (1227189)Termination phase: Saturation
% 54.80/22.32 % (1227189)Time elapsed: 2.051 s
% 54.80/22.32 % (1227189)Peak memory usage: 19 MB
% 54.80/22.32 % (1227189)Instructions burned: 3512 (million)
% 54.80/22.32 % (1227191)dis+21_1_sil=32000:sas=cadical:random_seed=1859821627:i=3773:amm=off_2926 on theBenchmark for (2926ds/3773Mi)
% 54.80/22.32 % (1227185)Instruction limit reached!
% 54.80/22.32 % (1227185)------------------------------
% 54.80/22.32 % (1227185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.80/22.32 % (1227185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.80/22.32 % (1227185)CaDiCaL version: 2.1.3
% 54.80/22.32 % (1227185)Termination reason: Instruction limit
% 54.80/22.32 % (1227185)Termination phase: Saturation
% 54.80/22.32 % (1227185)Time elapsed: 3.120 s
% 54.80/22.32 % (1227185)Peak memory usage: 35 MB
% 54.80/22.32 % (1227185)Instructions burned: 5114 (million)
% 54.80/22.32 % (1227193)ott+11_1_sil=16000:gs=on:random_seed=2659485990:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2920 on theBenchmark for (2920ds/2251Mi)
% 54.80/22.32 % TRYING [14]
% 54.80/22.32 % TRYING [12]
% 54.80/22.32 % TRYING [12]
% 54.80/22.32 % (1227169)Instruction limit reached!
% 54.80/22.32 % (1227169)------------------------------
% 54.80/22.32 % (1227169)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.80/22.32 % (1227169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.80/22.32 % (1227169)CaDiCaL version: 2.1.3
% 54.80/22.32 % (1227169)Termination reason: Instruction limit
% 54.80/22.32 % (1227169)Termination phase: Finite model building constraint generation
% 54.80/22.32 % (1227169)Time elapsed: 8.605 s
% 54.80/22.32 % (1227169)Peak memory usage: 137 MB
% 54.80/22.32 % (1227169)Instructions burned: 22062 (million)
% 54.80/22.32 % (1227195)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=2475478667:fmbsr=1.6:i=67534_2904 on theBenchmark for (2904ds/67534Mi)
% 54.80/22.32 % (1227193)Instruction limit reached!
% 54.80/22.32 % (1227193)------------------------------
% 54.80/22.32 % (1227193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.80/22.32 % (1227193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.80/22.32 % (1227193)CaDiCaL version: 2.1.3
% 54.80/22.32 % (1227193)Termination reason: Instruction limit
% 54.80/22.32 % (1227193)Termination phase: Saturation
% 54.80/22.32 % (1227193)Time elapsed: 1.650 s
% 54.80/22.32 % (1227193)Peak memory usage: 30 MB
% 54.80/22.32 % (1227193)Instructions burned: 2251 (million)
% 54.80/22.32 % Detected minimum model sizes of [4]
% 54.80/22.32 % Detected maximum model sizes of [max]
% 54.80/22.32 % TRYING [7]
% 54.80/22.32 % (1227197)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=2533360980:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2904 on theBenchmark for (2904ds/4591Mi)
% 54.80/22.32 % (1227191)Instruction limit reached!
% 54.80/22.32 % (1227191)------------------------------
% 54.80/22.32 % (1227191)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.80/22.32 % (1227191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.80/22.32 % (1227191)CaDiCaL version: 2.1.3
% 54.80/22.32 % (1227191)Termination reason: Instruction limit
% 54.80/22.32 % (1227191)Termination phase: Saturation
% 54.80/22.32 % (1227191)Time elapsed: 2.337 s
% 54.80/22.32 % (1227191)Peak memory usage: 29 MB
% 54.80/22.32 % (1227191)Instructions burned: 3774 (million)
% 54.80/22.32 % (1227199)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=1040146449:i=29340_2902 on theBenchmark for (2902ds/29340Mi)
% 54.80/22.32 % TRYING [8]
% 54.80/22.32 % TRYING [9]
% 54.80/22.32 % TRYING [15]
% 54.80/22.32 % TRYING [10]
% 54.80/22.32 % (1227197)Instruction limit reached!
% 54.80/22.32 % (1227197)------------------------------
% 54.80/22.32 % (1227197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.80/22.32 % (1227197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.80/22.32 % (1227197)CaDiCaL version: 2.1.3
% 54.80/22.32 % (1227197)Termination reason: Instruction limit
% 54.80/22.32 % (1227197)Termination phase: Saturation
% 54.80/22.32 % (1227197)Time elapsed: 2.425 s
% 54.80/22.32 % (1227197)Peak memory usage: 24 MB
% 54.80/22.32 % (1227197)Instructions burned: 4592 (million)
% 54.80/22.32 % (1227201)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=990617338:i=5211_2879 on theBenchmark for (2879ds/5211Mi)
% 54.80/22.32 % TRYING [13]
% 54.80/22.32 % TRYING [11]
% 54.80/22.32 % (1227201)Instruction limit reached!
% 54.80/22.32 % (1227201)------------------------------
% 54.80/22.32 % (1227201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.80/22.32 % (1227201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.80/22.32 % (1227201)CaDiCaL version: 2.1.3
% 54.80/22.32 % (1227201)Termination reason: Instruction limit
% 54.80/22.32 % (1227201)Termination phase: Saturation
% 54.80/22.32 % (1227201)Time elapsed: 2.838 s
% 54.80/22.32 % (1227201)Peak memory usage: 34 MB
% 54.80/22.32 % (1227201)Instructions burned: 5212 (million)
% 54.80/22.32 % (1227203)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=2444439550:i=5497:nm=2_2851 on theBenchmark for (2851ds/5497Mi)
% 54.80/22.32 % Detected minimum model sizes of [4]
% 54.80/22.32 % Detected maximum model sizes of [max]
% 54.80/22.32 % TRYING [17]
% 54.80/22.32 % (1227203)Instruction limit reached!
% 54.80/22.32 % (1227203)------------------------------
% 54.80/22.32 % (1227203)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.80/22.32 % (1227203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.80/22.32 % (1227203)CaDiCaL version: 2.1.3
% 54.80/22.32 % (1227203)Termination reason: Instruction limit
% 54.80/22.32 % (1227203)Termination phase: Finite model building constraint generation
% 54.80/22.32 % (1227203)Time elapsed: 2.542 s
% 54.80/22.32 % (1227203)Peak memory usage: 475 MB
% 54.80/22.32 % (1227203)Instructions burned: 5497 (million)
% 54.80/22.32 % (1227205)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=1424134650:fmbsr=2:i=46332_2824 on theBenchmark for (2824ds/46332Mi)
% 54.80/22.32 % Detected minimum model sizes of [4]
% 54.80/22.32 % Detected maximum model sizes of [max]
% 54.80/22.32 % TRYING [15]
% 54.80/22.32 % TRYING [12]
% 54.80/22.32 % (1227199) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1227130-1227199"...
% 54.80/22.32 % (1227199)...printing done.
% 54.80/22.32 % (1227199)Refutation found. Thanks to Tanya!
% 54.80/22.32 % SZS status Theorem for theBenchmark
% 54.80/22.32 % SZS output start Proof for theBenchmark
% See solution above
% 54.80/22.32 % (1227199)------------------------------
% 54.80/22.32 % (1227199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.80/22.32 % (1227199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.80/22.32 % (1227199)CaDiCaL version: 2.1.3
% 54.80/22.32 % (1227199)Termination reason: Refutation
% 54.80/22.32 % (1227199)Time elapsed: 12.012 s
% 54.80/22.32 % (1227199)Peak memory usage: 55 MB
% 54.80/22.32 % (1227199)Instructions burned: 24728 (million)
% 54.80/22.32 % (1227130)Success in time 21.912 s
% 54.80/22.32 % Vampire exiting
%------------------------------------------------------------------------------