%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PRO005+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 12:30:22 PM UTC 2026
% Result : Theorem 6.88s 2.02s
% Output : Refutation 8.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 28
% Syntax : Number of formulae : 171 ( 28 unt; 8 def)
% Number of atoms : 560 ( 22 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 689 ( 300 ~; 289 |; 74 &)
% ( 14 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 9 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 242 ( 0 sgn 218 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,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_06) ).
fof(f9,axiom,
! [X0,X1,X2] :
( ( occurrence_of(X0,X1)
& occurrence_of(X0,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).
fof(f10,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_09) ).
fof(f11,axiom,
! [X0,X1,X2] :
( ( occurrence_of(X0,X2)
& root_occ(X1,X0) )
=> ~ ? [X3] : min_precedes(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_10) ).
fof(f14,axiom,
! [X0] :
( legal(X0)
=> arboreal(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_13) ).
fof(f17,axiom,
! [X0,X1] :
( occurrence_of(X0,X1)
=> ( arboreal(X0)
<=> atomic(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_16) ).
fof(f18,axiom,
! [X0,X1] :
( root(X0,X1)
=> legal(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_17) ).
fof(f19,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_18) ).
fof(f20,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_19) ).
fof(f27,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_26) ).
fof(f28,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_27) ).
fof(f29,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_28) ).
fof(f33,axiom,
! [X0] :
( occurrence_of(X0,tptp0)
=> ? [X1,X2] :
( occurrence_of(X1,tptp4)
& root_occ(X1,X0)
& ( occurrence_of(X2,tptp3)
| occurrence_of(X2,tptp2) )
& leaf_occ(X2,X0)
& next_subocc(X1,X2,tptp0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).
fof(f35,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_34) ).
fof(f39,axiom,
atomic(tptp1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_38) ).
fof(f43,axiom,
tptp1 != tptp3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_42) ).
fof(f44,axiom,
tptp1 != tptp2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_43) ).
fof(f46,axiom,
! [X0,X1] :
( ( occurrence_of(X1,tptp0)
& subactivity_occurrence(X0,X1)
& arboreal(X0)
& ~ leaf_occ(X0,X1) )
=> root_occ(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_45) ).
fof(f47,axiom,
! [X0,X1] :
( ( occurrence_of(X1,tptp0)
& subactivity_occurrence(X0,X1)
& arboreal(X0)
& ~ leaf_occ(X0,X1) )
=> ? [X2] :
( occurrence_of(X2,tptp1)
& next_subocc(X0,X2,tptp0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_46) ).
fof(f48,conjecture,
~ ? [X0] : occurrence_of(X0,tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f49,negated_conjecture,
~ ~ ? [X0] : occurrence_of(X0,tptp0),
inference(negated_conjecture,[status(cth)],[f48]) ).
fof(f50,plain,
? [X0] : occurrence_of(X0,tptp0),
inference(flattening,[],[f49]) ).
fof(f61,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,[],[f7]) ).
fof(f64,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X1)
| ~ occurrence_of(X0,X2) ),
inference(ennf_transformation,[],[f9]) ).
fof(f65,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X1)
| ~ occurrence_of(X0,X2) ),
inference(flattening,[],[f64]) ).
fof(f66,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X1,X3,X2)
| ~ occurrence_of(X0,X2)
| ~ leaf_occ(X1,X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f67,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X1,X3,X2)
| ~ occurrence_of(X0,X2)
| ~ leaf_occ(X1,X0) ),
inference(flattening,[],[f66]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X3,X1,X2)
| ~ occurrence_of(X0,X2)
| ~ root_occ(X1,X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X3,X1,X2)
| ~ occurrence_of(X0,X2)
| ~ root_occ(X1,X0) ),
inference(flattening,[],[f68]) ).
fof(f72,plain,
! [X0] :
( arboreal(X0)
| ~ legal(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f74,plain,
! [X0,X1] :
( ( arboreal(X0)
<=> atomic(X1) )
| ~ occurrence_of(X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f75,plain,
! [X0,X1] :
( legal(X0)
| ~ root(X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f81,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,[],[f27]) ).
fof(f82,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,[],[f28]) ).
fof(f83,plain,
! [X0,X1,X2,X3] :
( subactivity_occurrence(X0,X3)
| ~ min_precedes(X0,X1,X2)
| ~ occurrence_of(X3,X2)
| ~ subactivity_occurrence(X1,X3) ),
inference(flattening,[],[f82]) ).
fof(f84,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ occurrence_of(X2,X3)
| atomic(X3)
| ~ leaf_occ(X0,X2)
| ~ leaf_occ(X1,X2) ),
inference(ennf_transformation,[],[f29]) ).
fof(f85,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ occurrence_of(X2,X3)
| atomic(X3)
| ~ leaf_occ(X0,X2)
| ~ leaf_occ(X1,X2) ),
inference(flattening,[],[f84]) ).
fof(f92,plain,
! [X0] :
( ? [X1,X2] :
( occurrence_of(X1,tptp4)
& root_occ(X1,X0)
& ( occurrence_of(X2,tptp3)
| occurrence_of(X2,tptp2) )
& leaf_occ(X2,X0)
& next_subocc(X1,X2,tptp0) )
| ~ occurrence_of(X0,tptp0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f93,plain,
! [X0,X1] :
( root_occ(X0,X1)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(ennf_transformation,[],[f46]) ).
fof(f94,plain,
! [X0,X1] :
( root_occ(X0,X1)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(flattening,[],[f93]) ).
fof(f95,plain,
! [X0,X1] :
( ? [X2] :
( occurrence_of(X2,tptp1)
& next_subocc(X0,X2,tptp0) )
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(ennf_transformation,[],[f47]) ).
fof(f96,plain,
! [X0,X1] :
( ? [X2] :
( occurrence_of(X2,tptp1)
& next_subocc(X0,X2,tptp0) )
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(flattening,[],[f95]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ( occurrence_of(sK2(X0,X1,X2),X0)
& subactivity_occurrence(X1,sK2(X0,X1,X2))
& subactivity_occurrence(X2,sK2(X0,X1,X2)) )
| ~ min_precedes(X1,X2,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X3,sK2(X0,X1,X2))],[f61]) ).
fof(f109,plain,
! [X0,X1] :
( ( ( arboreal(X0)
| ~ atomic(X1) )
& ( atomic(X1)
| ~ arboreal(X0) ) )
| ~ occurrence_of(X0,X1) ),
inference(nnf_transformation,[],[f74]) ).
fof(f110,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,[],[f19]) ).
fof(f111,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,[],[f110]) ).
fof(f112,plain,
! [X0,X1] :
( ( leaf_occ(X0,X1)
| ! [X2] :
( ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ leaf(X0,X2) ) )
& ( ( occurrence_of(X1,sK8(X0,X1))
& subactivity_occurrence(X0,X1)
& leaf(X0,sK8(X0,X1)) )
| ~ leaf_occ(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X3,sK8(X0,X1))],[f111]) ).
fof(f113,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,[],[f20]) ).
fof(f114,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,[],[f113]) ).
fof(f115,plain,
! [X0,X1] :
( ( root_occ(X0,X1)
| ! [X2] :
( ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ root(X0,X2) ) )
& ( ( occurrence_of(X1,sK9(X0,X1))
& subactivity_occurrence(X0,X1)
& root(X0,sK9(X0,X1)) )
| ~ root_occ(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X3,sK9(X0,X1))],[f114]) ).
fof(f119,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,[],[f81]) ).
fof(f120,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,[],[f119]) ).
fof(f121,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,[],[f120]) ).
fof(f122,plain,
! [X0,X1,X2] :
( ( next_subocc(X0,X1,X2)
| ~ min_precedes(X0,X1,X2)
| ( min_precedes(X0,sK11(X0,X1,X2),X2)
& min_precedes(sK11(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,[sK11]),skolemize(X3,sK11(X0,X1,X2))],[f121]) ).
fof(f123,plain,
! [X0] :
( ( occurrence_of(sK12(X0),tptp4)
& root_occ(sK12(X0),X0)
& ( occurrence_of(sK13(X0),tptp3)
| occurrence_of(sK13(X0),tptp2) )
& leaf_occ(sK13(X0),X0)
& next_subocc(sK12(X0),sK13(X0),tptp0) )
| ~ occurrence_of(X0,tptp0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13]),skolemize(X1,sK12(X0)),skolemize(X2,sK13(X0))],[f92]) ).
fof(f124,plain,
! [X0,X1] :
( ( occurrence_of(sK14(X0),tptp1)
& next_subocc(X0,sK14(X0),tptp0) )
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X2,sK14(X0))],[f96]) ).
fof(f125,plain,
occurrence_of(sK15,tptp0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(X0,sK15)],[f50]) ).
fof(f135,plain,
! [X2,X0,X1] :
( subactivity_occurrence(X2,sK2(X0,X1,X2))
| ~ min_precedes(X1,X2,X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f137,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| occurrence_of(sK2(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f140,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f65]) ).
fof(f141,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X1,X3,X2)
| ~ occurrence_of(X0,X2)
| ~ leaf_occ(X1,X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f142,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X3,X1,X2)
| ~ occurrence_of(X0,X2)
| ~ root_occ(X1,X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f147,plain,
! [X0] :
( ~ legal(X0)
| arboreal(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f157,plain,
! [X0,X1] :
( ~ atomic(X1)
| arboreal(X0)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f109]) ).
fof(f158,plain,
! [X0,X1] :
( ~ root(X0,X1)
| legal(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f160,plain,
! [X0,X1] :
( ~ leaf_occ(X0,X1)
| subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f161,plain,
! [X0,X1] :
( ~ leaf_occ(X0,X1)
| occurrence_of(X1,sK8(X0,X1)) ),
inference(cnf_transformation,[],[f112]) ).
fof(f163,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| root(X0,sK9(X0,X1)) ),
inference(cnf_transformation,[],[f115]) ).
fof(f178,plain,
! [X2,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f122]) ).
fof(f181,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,[],[f83]) ).
fof(f182,plain,
! [X2,X3,X0,X1] :
( ~ leaf_occ(X1,X2)
| ~ occurrence_of(X2,X3)
| atomic(X3)
| ~ leaf_occ(X0,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f85]) ).
fof(f186,plain,
! [X0] :
( next_subocc(sK12(X0),sK13(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f187,plain,
! [X0] :
( leaf_occ(sK13(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f188,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| occurrence_of(sK13(X0),tptp2)
| occurrence_of(sK13(X0),tptp3) ),
inference(cnf_transformation,[],[f123]) ).
fof(f189,plain,
! [X0] :
( root_occ(sK12(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f192,plain,
~ atomic(tptp0),
inference(cnf_transformation,[],[f35]) ).
fof(f196,plain,
atomic(tptp1),
inference(cnf_transformation,[],[f39]) ).
fof(f200,plain,
tptp3 != tptp1,
inference(cnf_transformation,[],[f43]) ).
fof(f201,plain,
tptp2 != tptp1,
inference(cnf_transformation,[],[f44]) ).
fof(f203,plain,
! [X0,X1] :
( ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| root_occ(X0,X1)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f94]) ).
fof(f204,plain,
! [X0,X1] :
( ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| next_subocc(X0,sK14(X0),tptp0)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f124]) ).
fof(f205,plain,
! [X0,X1] :
( ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| occurrence_of(sK14(X0),tptp1)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f124]) ).
fof(f206,plain,
occurrence_of(sK15,tptp0),
inference(cnf_transformation,[],[f125]) ).
fof(f209,plain,
! [X0] :
( subactivity_occurrence(sK13(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f160,f187]) ).
fof(f227,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| occurrence_of(X0,sK8(sK13(X0),X0)) ),
inference(resolution,[],[f161,f187]) ).
fof(f249,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| min_precedes(sK12(X0),sK13(X0),tptp0) ),
inference(resolution,[],[f186,f178]) ).
fof(f250,plain,
min_precedes(sK12(sK15),sK13(sK15),tptp0),
inference(resolution,[],[f249,f206]) ).
fof(f252,plain,
! [X0] :
( ~ leaf_occ(sK12(sK15),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f250,f141]) ).
fof(f253,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,tptp0)
| atomic(X1)
| ~ leaf_occ(X2,X0)
| sK13(X0) = X2
| ~ occurrence_of(X0,X1) ),
inference(resolution,[],[f182,f187]) ).
fof(f277,plain,
! [X0] :
( ~ occurrence_of(X0,tptp1)
| arboreal(X0) ),
inference(resolution,[],[f196,f157]) ).
fof(f300,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| root(sK12(X0),sK9(sK12(X0),X0)) ),
inference(resolution,[],[f163,f189]) ).
fof(f301,plain,
root(sK12(sK15),sK9(sK12(sK15),sK15)),
inference(resolution,[],[f300,f206]) ).
fof(f302,plain,
legal(sK12(sK15)),
inference(resolution,[],[f301,f158]) ).
fof(f304,plain,
! [X0] :
( subactivity_occurrence(sK12(sK15),X0)
| ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK13(sK15),X0) ),
inference(resolution,[],[f181,f250]) ).
fof(f374,plain,
arboreal(sK12(sK15)),
inference(resolution,[],[f302,f147]) ).
fof(f378,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK12(sK15),X0)
| occurrence_of(sK14(sK12(sK15)),tptp1)
| leaf_occ(sK12(sK15),X0) ),
inference(resolution,[],[f374,f205]) ).
fof(f379,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK12(sK15),X0)
| next_subocc(sK12(sK15),sK14(sK12(sK15)),tptp0)
| leaf_occ(sK12(sK15),X0) ),
inference(resolution,[],[f374,f204]) ).
fof(f382,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK12(sK15),X0)
| next_subocc(sK12(sK15),sK14(sK12(sK15)),tptp0) ),
inference(forward_subsumption_resolution,[],[f379,f252]) ).
fof(f383,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK12(sK15),X0)
| occurrence_of(sK14(sK12(sK15)),tptp1) ),
inference(forward_subsumption_resolution,[],[f378,f252]) ).
fof(f385,definition,
( spl16_18
<=> next_subocc(sK12(sK15),sK14(sK12(sK15)),tptp0) ),
introduced(definition,[new_symbols(definition,[spl16_18])],[avatar_definition]) ).
fof(f386,plain,
( next_subocc(sK12(sK15),sK14(sK12(sK15)),tptp0)
| ~ spl16_18 ),
inference(avatar_component_clause,[],[f385]) ).
fof(f388,definition,
( spl16_19
<=> ! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK12(sK15),X0) ) ),
introduced(definition,[new_symbols(definition,[spl16_19])],[avatar_definition]) ).
fof(f389,plain,
( ! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK12(sK15),X0) )
| ~ spl16_19 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f390,plain,
( spl16_18
| spl16_19 ),
inference(avatar_split_clause,[],[f382,f388,f385]) ).
fof(f392,definition,
( spl16_20
<=> occurrence_of(sK14(sK12(sK15)),tptp1) ),
introduced(definition,[new_symbols(definition,[spl16_20])],[avatar_definition]) ).
fof(f393,plain,
( occurrence_of(sK14(sK12(sK15)),tptp1)
| ~ spl16_20 ),
inference(avatar_component_clause,[],[f392]) ).
fof(f394,plain,
( spl16_20
| spl16_19 ),
inference(avatar_split_clause,[],[f383,f388,f392]) ).
fof(f396,plain,
( ~ subactivity_occurrence(sK12(sK15),sK15)
| ~ spl16_19 ),
inference(resolution,[],[f389,f206]) ).
fof(f400,plain,
( ~ occurrence_of(sK15,tptp0)
| ~ subactivity_occurrence(sK13(sK15),sK15)
| ~ spl16_19 ),
inference(resolution,[],[f396,f304]) ).
fof(f407,plain,
( ~ occurrence_of(sK15,tptp0)
| ~ spl16_19 ),
inference(forward_subsumption_resolution,[],[f400,f209]) ).
fof(f408,plain,
( $false
| ~ spl16_19 ),
inference(forward_subsumption_resolution,[],[f407,f206]) ).
fof(f409,plain,
~ spl16_19,
inference(avatar_contradiction_clause,[],[f408]) ).
fof(f411,plain,
( ! [X0] :
( ~ occurrence_of(sK14(sK12(sK15)),X0)
| tptp1 = X0 )
| ~ spl16_20 ),
inference(resolution,[],[f393,f140]) ).
fof(f413,plain,
( min_precedes(sK12(sK15),sK14(sK12(sK15)),tptp0)
| ~ spl16_18 ),
inference(resolution,[],[f386,f178]) ).
fof(f415,plain,
( occurrence_of(sK2(tptp0,sK12(sK15),sK14(sK12(sK15))),tptp0)
| ~ spl16_18 ),
inference(resolution,[],[f413,f137]) ).
fof(f417,plain,
( ! [X0] :
( ~ root_occ(sK14(sK12(sK15)),X0)
| ~ occurrence_of(X0,tptp0) )
| ~ spl16_18 ),
inference(resolution,[],[f413,f142]) ).
fof(f427,plain,
( occurrence_of(sK13(sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))),tptp2)
| occurrence_of(sK13(sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))),tptp3)
| ~ spl16_18 ),
inference(resolution,[],[f415,f188]) ).
fof(f429,plain,
( occurrence_of(sK2(tptp0,sK12(sK15),sK14(sK12(sK15))),sK8(sK13(sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))),sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))))
| ~ spl16_18 ),
inference(resolution,[],[f415,f227]) ).
fof(f431,plain,
( ! [X0,X1] :
( atomic(X0)
| ~ leaf_occ(X1,sK2(tptp0,sK12(sK15),sK14(sK12(sK15))))
| sK13(sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))) = X1
| ~ occurrence_of(sK2(tptp0,sK12(sK15),sK14(sK12(sK15))),X0) )
| ~ spl16_18 ),
inference(resolution,[],[f415,f253]) ).
fof(f438,plain,
( ! [X0] :
( ~ occurrence_of(sK2(tptp0,sK12(sK15),sK14(sK12(sK15))),X0)
| tptp0 = X0 )
| ~ spl16_18 ),
inference(resolution,[],[f415,f140]) ).
fof(f454,definition,
( spl16_27
<=> ! [X1] :
( ~ leaf_occ(X1,sK2(tptp0,sK12(sK15),sK14(sK12(sK15))))
| sK13(sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))) = X1 ) ),
introduced(definition,[new_symbols(definition,[spl16_27])],[avatar_definition]) ).
fof(f455,plain,
( ! [X1] :
( ~ leaf_occ(X1,sK2(tptp0,sK12(sK15),sK14(sK12(sK15))))
| sK13(sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))) = X1 )
| ~ spl16_27 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f457,definition,
( spl16_28
<=> ! [X0] :
( atomic(X0)
| ~ occurrence_of(sK2(tptp0,sK12(sK15),sK14(sK12(sK15))),X0) ) ),
introduced(definition,[new_symbols(definition,[spl16_28])],[avatar_definition]) ).
fof(f458,plain,
( ! [X0] :
( ~ occurrence_of(sK2(tptp0,sK12(sK15),sK14(sK12(sK15))),X0)
| atomic(X0) )
| ~ spl16_28 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f459,plain,
( spl16_27
| spl16_28
| ~ spl16_18 ),
inference(avatar_split_clause,[],[f431,f385,f457,f454]) ).
fof(f461,definition,
( spl16_29
<=> occurrence_of(sK13(sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))),tptp3) ),
introduced(definition,[new_symbols(definition,[spl16_29])],[avatar_definition]) ).
fof(f462,plain,
( occurrence_of(sK13(sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))),tptp3)
| ~ spl16_29 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f464,definition,
( spl16_30
<=> occurrence_of(sK13(sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))),tptp2) ),
introduced(definition,[new_symbols(definition,[spl16_30])],[avatar_definition]) ).
fof(f465,plain,
( occurrence_of(sK13(sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))),tptp2)
| ~ spl16_30 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f466,plain,
( spl16_29
| spl16_30
| ~ spl16_18 ),
inference(avatar_split_clause,[],[f427,f385,f464,f461]) ).
fof(f584,plain,
( tptp0 = sK8(sK13(sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))),sK2(tptp0,sK12(sK15),sK14(sK12(sK15))))
| ~ spl16_18 ),
inference(resolution,[],[f429,f438]) ).
fof(f651,plain,
( arboreal(sK14(sK12(sK15)))
| ~ spl16_20 ),
inference(resolution,[],[f277,f393]) ).
fof(f657,plain,
( ! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK14(sK12(sK15)),X0)
| root_occ(sK14(sK12(sK15)),X0)
| leaf_occ(sK14(sK12(sK15)),X0) )
| ~ spl16_20 ),
inference(resolution,[],[f651,f203]) ).
fof(f658,plain,
( ! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK14(sK12(sK15)),X0)
| leaf_occ(sK14(sK12(sK15)),X0) )
| ~ spl16_18
| ~ spl16_20 ),
inference(forward_subsumption_resolution,[],[f657,f417]) ).
fof(f663,definition,
( spl16_42
<=> ! [X0] :
( ~ occurrence_of(X0,tptp0)
| leaf_occ(sK14(sK12(sK15)),X0)
| ~ subactivity_occurrence(sK14(sK12(sK15)),X0) ) ),
introduced(definition,[new_symbols(definition,[spl16_42])],[avatar_definition]) ).
fof(f664,plain,
( ! [X0] :
( ~ subactivity_occurrence(sK14(sK12(sK15)),X0)
| leaf_occ(sK14(sK12(sK15)),X0)
| ~ occurrence_of(X0,tptp0) )
| ~ spl16_42 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f670,plain,
( spl16_42
| ~ spl16_18
| ~ spl16_20 ),
inference(avatar_split_clause,[],[f658,f392,f385,f663]) ).
fof(f671,plain,
( ! [X0,X1] :
( ~ occurrence_of(sK2(X0,X1,sK14(sK12(sK15))),tptp0)
| leaf_occ(sK14(sK12(sK15)),sK2(X0,X1,sK14(sK12(sK15))))
| ~ min_precedes(X1,sK14(sK12(sK15)),X0) )
| ~ spl16_42 ),
inference(resolution,[],[f664,f135]) ).
fof(f675,plain,
( leaf_occ(sK14(sK12(sK15)),sK2(tptp0,sK12(sK15),sK14(sK12(sK15))))
| ~ min_precedes(sK12(sK15),sK14(sK12(sK15)),tptp0)
| ~ spl16_18
| ~ spl16_42 ),
inference(resolution,[],[f671,f415]) ).
fof(f676,plain,
( leaf_occ(sK14(sK12(sK15)),sK2(tptp0,sK12(sK15),sK14(sK12(sK15))))
| ~ spl16_18
| ~ spl16_42 ),
inference(forward_subsumption_resolution,[],[f675,f413]) ).
fof(f677,plain,
( sK14(sK12(sK15)) = sK13(sK2(tptp0,sK12(sK15),sK14(sK12(sK15))))
| ~ spl16_18
| ~ spl16_27
| ~ spl16_42 ),
inference(resolution,[],[f676,f455]) ).
fof(f687,plain,
( occurrence_of(sK14(sK12(sK15)),tptp3)
| ~ spl16_18
| ~ spl16_27
| ~ spl16_29
| ~ spl16_42 ),
inference(superposition,[],[f462,f677]) ).
fof(f701,plain,
( tptp3 = tptp1
| ~ spl16_18
| ~ spl16_20
| ~ spl16_27
| ~ spl16_29
| ~ spl16_42 ),
inference(resolution,[],[f687,f411]) ).
fof(f707,plain,
( $false
| ~ spl16_18
| ~ spl16_20
| ~ spl16_27
| ~ spl16_29
| ~ spl16_42 ),
inference(forward_subsumption_resolution,[],[f701,f200]) ).
fof(f708,plain,
( ~ spl16_18
| ~ spl16_20
| ~ spl16_27
| ~ spl16_29
| ~ spl16_42 ),
inference(avatar_contradiction_clause,[],[f707]) ).
fof(f718,plain,
( atomic(sK8(sK13(sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))),sK2(tptp0,sK12(sK15),sK14(sK12(sK15)))))
| ~ spl16_18
| ~ spl16_28 ),
inference(resolution,[],[f458,f429]) ).
fof(f720,plain,
( atomic(tptp0)
| ~ spl16_18
| ~ spl16_28 ),
inference(forward_demodulation,[],[f718,f584]) ).
fof(f725,plain,
( $false
| ~ spl16_18
| ~ spl16_28 ),
inference(forward_subsumption_resolution,[],[f720,f192]) ).
fof(f726,plain,
( ~ spl16_18
| ~ spl16_28 ),
inference(avatar_contradiction_clause,[],[f725]) ).
fof(f734,plain,
( occurrence_of(sK14(sK12(sK15)),tptp2)
| ~ spl16_18
| ~ spl16_27
| ~ spl16_30
| ~ spl16_42 ),
inference(forward_demodulation,[],[f465,f677]) ).
fof(f749,plain,
( tptp2 = tptp1
| ~ spl16_18
| ~ spl16_20
| ~ spl16_27
| ~ spl16_30
| ~ spl16_42 ),
inference(resolution,[],[f734,f411]) ).
fof(f755,plain,
( $false
| ~ spl16_18
| ~ spl16_20
| ~ spl16_27
| ~ spl16_30
| ~ spl16_42 ),
inference(forward_subsumption_resolution,[],[f749,f201]) ).
fof(f756,plain,
( ~ spl16_18
| ~ spl16_20
| ~ spl16_27
| ~ spl16_30
| ~ spl16_42 ),
inference(avatar_contradiction_clause,[],[f755]) ).
cnf(s17,plain,
( spl16_18
| spl16_19 ),
inference(sat_conversion,[],[f390]) ).
cnf(s18,plain,
( spl16_19
| spl16_20 ),
inference(sat_conversion,[],[f394]) ).
cnf(s23,plain,
~ spl16_19,
inference(sat_conversion,[],[f409]) ).
cnf(s27,plain,
( ~ spl16_18
| spl16_27
| spl16_28 ),
inference(sat_conversion,[],[f459]) ).
cnf(s28,plain,
( ~ spl16_18
| spl16_29
| spl16_30 ),
inference(sat_conversion,[],[f466]) ).
cnf(s48,plain,
( ~ spl16_18
| ~ spl16_20
| spl16_42 ),
inference(sat_conversion,[],[f670]) ).
cnf(s53,plain,
( ~ spl16_18
| ~ spl16_20
| ~ spl16_27
| ~ spl16_29
| ~ spl16_42 ),
inference(sat_conversion,[],[f708]) ).
cnf(s56,plain,
( ~ spl16_18
| ~ spl16_28 ),
inference(sat_conversion,[],[f726]) ).
cnf(s62,plain,
( ~ spl16_18
| ~ spl16_20
| ~ spl16_27
| ~ spl16_30
| ~ spl16_42 ),
inference(sat_conversion,[],[f756]) ).
cnf(s67,plain,
spl16_20,
inference(rat,[],[s18,s23]) ).
cnf(s68,plain,
spl16_18,
inference(rat,[],[s17,s23]) ).
cnf(s69,plain,
~ spl16_28,
inference(rat,[],[s56,s68]) ).
cnf(s70,plain,
spl16_42,
inference(rat,[],[s48,s67,s68]) ).
cnf(s73,plain,
spl16_27,
inference(rat,[],[s27,s69,s68]) ).
cnf(s76,plain,
~ spl16_30,
inference(rat,[],[s62,s70,s68,s67,s73]) ).
cnf(s77,plain,
~ spl16_29,
inference(rat,[],[s53,s70,s68,s67,s73]) ).
cnf(s80,plain,
$false,
inference(rat,[],[s28,s68,s76,s77]) ).
fof(f757,plain,
$false,
inference(avatar_sat_refutation,[],[s80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PRO005+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n006.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 22:16:55 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.88/2.02 % (3381116)Detected formulas, will run a generic FOF schedule.
% 6.88/2.02 % (3381124)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4170858721:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.88/2.02 % (3381124)Refutation not found, incomplete strategy
% 6.88/2.02 % (3381124)------------------------------
% 6.88/2.02 % (3381124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/2.02 % (3381124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/2.02 % (3381124)CaDiCaL version: 2.1.3
% 6.88/2.02 % (3381124)Termination reason: Refutation not found, incomplete strategy
% 6.88/2.02 % (3381124)Time elapsed: 0.0000 s
% 6.88/2.02 % (3381124)Peak memory usage: 86 MB
% 6.88/2.02 % (3381126)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2193784634:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.88/2.02 % (3381127)dis-21_1_sil=8000:lcm=predicate:random_seed=3047730040:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 6.88/2.02 % (3381125)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=70033801:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.88/2.02 % (3381123)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2545038046:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.88/2.02 % (3381121)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1046199237:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.88/2.02 % (3381122)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=669185821:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.88/2.02 % (3381125)Instruction limit reached!
% 6.88/2.02 % (3381125)------------------------------
% 6.88/2.02 % (3381125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/2.02 % (3381125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/2.02 % (3381125)CaDiCaL version: 2.1.3
% 6.88/2.02 % (3381125)Termination reason: Instruction limit
% 6.88/2.02 % (3381125)Termination phase: Saturation
% 6.88/2.02 % (3381125)Time elapsed: 0.061 s
% 6.88/2.02 % (3381125)Peak memory usage: 87 MB
% 6.88/2.02 % (3381125)Instructions burned: 120 (million)
% 6.88/2.02 % (3381127)Instruction limit reached!
% 6.88/2.02 % (3381127)------------------------------
% 6.88/2.02 % (3381127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/2.02 % (3381127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/2.02 % (3381127)CaDiCaL version: 2.1.3
% 6.88/2.02 % (3381127)Termination reason: Instruction limit
% 6.88/2.02 % (3381127)Termination phase: Saturation
% 6.88/2.02 % (3381127)Time elapsed: 0.067 s
% 6.88/2.02 % (3381127)Peak memory usage: 88 MB
% 6.88/2.02 % (3381127)Instructions burned: 129 (million)
% 6.88/2.02 % (3381126)Instruction limit reached!
% 6.88/2.02 % (3381126)------------------------------
% 6.88/2.02 % (3381126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/2.02 % (3381126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/2.02 % (3381126)CaDiCaL version: 2.1.3
% 6.88/2.02 % (3381126)Termination reason: Instruction limit
% 6.88/2.02 % (3381126)Termination phase: Saturation
% 6.88/2.02 % (3381126)Time elapsed: 0.100 s
% 6.88/2.02 % (3381126)Peak memory usage: 90 MB
% 6.88/2.02 % (3381126)Instructions burned: 140 (million)
% 6.88/2.02 % (3381124)------------------------------
% 6.88/2.02 % (3381124)------------------------------
% 6.88/2.02 % (3381137)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1429826556:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.88/2.02 % (3381136)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1193753992:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.88/2.02 % (3381136)Refutation not found, incomplete strategy
% 6.88/2.02 % (3381136)------------------------------
% 6.88/2.02 % (3381136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/2.02 % (3381136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/2.02 % (3381136)CaDiCaL version: 2.1.3
% 6.88/2.02 % (3381136)Termination reason: Refutation not found, incomplete strategy
% 6.88/2.02 % (3381136)Time elapsed: 0.001 s
% 6.88/2.02 % (3381136)Peak memory usage: 88 MB
% 6.88/2.02 % (3381135)lrs+10_1_sil=8000:sp=occurrence:random_seed=451718541:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.88/2.02 % (3381138)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2642339159:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.88/2.02 % (3381137)Instruction limit reached!
% 6.88/2.02 % (3381137)------------------------------
% 6.88/2.02 % (3381137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/2.02 % (3381137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/2.02 % (3381137)CaDiCaL version: 2.1.3
% 6.88/2.02 % (3381137)Termination reason: Instruction limit
% 6.88/2.02 % (3381137)Termination phase: Saturation
% 6.88/2.02 % (3381137)Time elapsed: 0.112 s
% 6.88/2.02 % (3381137)Peak memory usage: 91 MB
% 6.88/2.02 % (3381137)Instructions burned: 326 (million)
% 6.88/2.02 % (3381138)Instruction limit reached!
% 6.88/2.02 % (3381138)------------------------------
% 6.88/2.02 % (3381138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/2.02 % (3381138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/2.02 % (3381138)CaDiCaL version: 2.1.3
% 6.88/2.02 % (3381138)Termination reason: Instruction limit
% 6.88/2.02 % (3381138)Termination phase: Saturation
% 6.88/2.02 % (3381138)Time elapsed: 0.143 s
% 6.88/2.02 % (3381138)Peak memory usage: 90 MB
% 6.88/2.02 % (3381138)Instructions burned: 250 (million)
% 6.88/2.02 % (3381135)Instruction limit reached!
% 6.88/2.02 % (3381135)------------------------------
% 6.88/2.02 % (3381135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/2.02 % (3381135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/2.02 % (3381135)CaDiCaL version: 2.1.3
% 6.88/2.02 % (3381135)Termination reason: Instruction limit
% 6.88/2.02 % (3381135)Termination phase: Saturation
% 6.88/2.02 % (3381135)Time elapsed: 0.177 s
% 6.88/2.02 % (3381135)Peak memory usage: 91 MB
% 6.88/2.02 % (3381135)Instructions burned: 286 (million)
% 6.88/2.02 % (3381136)------------------------------
% 6.88/2.02 % (3381136)------------------------------
% 6.88/2.02 % (3381143)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=295625119:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.88/2.02 % (3381144)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3654796110:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.88/2.02 % (3381143)Instruction limit reached!
% 6.88/2.02 % (3381143)------------------------------
% 6.88/2.02 % (3381143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/2.02 % (3381143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/2.02 % (3381143)CaDiCaL version: 2.1.3
% 6.88/2.02 % (3381143)Termination reason: Instruction limit
% 6.88/2.02 % (3381143)Termination phase: Saturation
% 6.88/2.02 % (3381143)Time elapsed: 0.091 s
% 6.88/2.02 % (3381143)Peak memory usage: 89 MB
% 6.88/2.02 % (3381143)Instructions burned: 296 (million)
% 6.88/2.02 % (3381145)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=56080646:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.88/2.02 % (3381146)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4116862442:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.88/2.02 % (3381145)Instruction limit reached!
% 6.88/2.02 % (3381145)------------------------------
% 6.88/2.02 % (3381145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/2.02 % (3381145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/2.02 % (3381145)CaDiCaL version: 2.1.3
% 6.88/2.02 % (3381145)Termination reason: Instruction limit
% 6.88/2.02 % (3381145)Termination phase: Saturation
% 6.88/2.02 % (3381145)Time elapsed: 0.084 s
% 6.88/2.02 % (3381145)Peak memory usage: 90 MB
% 6.88/2.02 % (3381145)Instructions burned: 114 (million)
% 6.88/2.02 % (3381149)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3268127463:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.88/2.02 % (3381149)Refutation not found, incomplete strategy
% 6.88/2.02 % (3381149)------------------------------
% 6.88/2.02 % (3381149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/2.02 % (3381149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/2.02 % (3381149)CaDiCaL version: 2.1.3
% 6.88/2.02 % (3381149)Termination reason: Refutation not found, incomplete strategy
% 6.88/2.02 % (3381149)Time elapsed: 0.0000 s
% 6.88/2.02 % (3381149)Peak memory usage: 87 MB
% 6.88/2.02 % (3381146)Instruction limit reached!
% 6.88/2.02 % (3381146)------------------------------
% 6.88/2.02 % (3381146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/2.02 % (3381146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/2.02 % (3381146)CaDiCaL version: 2.1.3
% 6.88/2.02 % (3381146)Termination reason: Instruction limit
% 6.88/2.02 % (3381146)Termination phase: Saturation
% 6.88/2.02 % (3381146)Time elapsed: 0.068 s
% 6.88/2.02 % (3381146)Peak memory usage: 89 MB
% 6.88/2.02 % (3381146)Instructions burned: 127 (million)
% 6.88/2.02 % (3381122)First to succeed.
% 6.88/2.02 % (3381122)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3381116"
% 6.88/2.02 % (3381121)Also succeeded, but the first one will report.
% 6.88/2.02 % (3381152)lrs+10_1_sil=8000:sp=occurrence:random_seed=3900425169:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.88/2.02 % (3381149)------------------------------
% 6.88/2.02 % (3381149)------------------------------
% 6.88/2.02 % (3381154)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2787630822:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.88/2.02 % (3381154)Refutation not found, incomplete strategy
% 6.88/2.02 % (3381154)------------------------------
% 6.88/2.02 % (3381154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/2.02 % (3381154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/2.02 % (3381154)CaDiCaL version: 2.1.3
% 6.88/2.02 % (3381154)Termination reason: Refutation not found, incomplete strategy
% 6.88/2.02 % (3381154)Time elapsed: 0.004 s
% 6.88/2.02 % (3381154)Peak memory usage: 88 MB
% 6.88/2.02 % (3381154)Instructions burned: 3 (million)
% 6.88/2.02 % (3381122)Refutation found. Thanks to Tanya!
% 6.88/2.02 % SZS status Theorem for theBenchmark
% 6.88/2.02 % SZS output start Proof for theBenchmark
% See solution above
% 8.70/2.22 % (3381122)------------------------------
% 8.70/2.22 % (3381122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/2.22 % (3381122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/2.22 % (3381122)CaDiCaL version: 2.1.3
% 8.70/2.22 % (3381122)Termination reason: Refutation
% 8.70/2.22 % (3381122)Time elapsed: 0.704 s
% 8.70/2.22 % (3381122)Peak memory usage: 129 MB
% 8.70/2.22 % (3381122)Instructions burned: 1030 (million)
% 8.70/2.22 % (3381122)------------------------------
% 8.70/2.22 % (3381122)------------------------------
% 8.70/2.22 % (3381116)Success in time 1.155 s
% 8.70/2.22 % Vampire exiting
%------------------------------------------------------------------------------