%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PRO005+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 6.86s 1.94s
% Output : Refutation 8.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 28
% Syntax : Number of formulae : 175 ( 30 unt; 10 def)
% Number of atoms : 524 ( 24 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 619 ( 270 ~; 262 |; 61 &)
% ( 15 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 11 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-3 aty)
% Number of variables : 211 ( 0 sgn 190 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1,X2,X3] :
( ( occurrence_of(X2,X3)
& ~ atomic(X3)
& leaf_occ(X0,X2)
& leaf_occ(X1,X2) )
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03) ).
fof(f5,axiom,
! [X0,X1,X2] :
( next_subocc(X0,X1,X2)
<=> ( min_precedes(X0,X1,X2)
& ~ ? [X3] :
( min_precedes(X0,X3,X2)
& min_precedes(X3,X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04) ).
fof(f11,axiom,
! [X0,X1] :
( root_occ(X0,X1)
<=> ? [X2] :
( occurrence_of(X1,X2)
& subactivity_occurrence(X0,X1)
& root(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_10) ).
fof(f13,axiom,
! [X0,X1] :
( root(X0,X1)
=> legal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_12) ).
fof(f14,axiom,
! [X0,X1] :
( occurrence_of(X0,X1)
=> ( arboreal(X0)
<=> atomic(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_13) ).
fof(f18,axiom,
! [X0] :
( legal(X0)
=> arboreal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_17) ).
fof(f21,axiom,
! [X0,X1,X2] :
( ( occurrence_of(X0,X2)
& root_occ(X1,X0) )
=> ~ ? [X3] : min_precedes(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_20) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( occurrence_of(X0,X2)
& leaf_occ(X1,X0) )
=> ~ ? [X3] : min_precedes(X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_21) ).
fof(f23,axiom,
! [X0,X1,X2] :
( ( occurrence_of(X0,X1)
& occurrence_of(X0,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_22) ).
fof(f25,axiom,
! [X0,X1,X2] :
( min_precedes(X1,X2,X0)
=> ? [X3] :
( occurrence_of(X3,X0)
& subactivity_occurrence(X1,X3)
& subactivity_occurrence(X2,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_24) ).
fof(f33,axiom,
! [X0] :
( occurrence_of(X0,tptp0)
=> ? [X1,X2] :
( occurrence_of(X1,tptp4)
& root_occ(X1,X0)
& ( occurrence_of(X2,tptp3)
| occurrence_of(X2,tptp2) )
& leaf_occ(X2,X0)
& next_subocc(X1,X2,tptp0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).
fof(f35,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_34) ).
fof(f39,axiom,
atomic(tptp1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_38) ).
fof(f43,axiom,
tptp1 != tptp3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_42) ).
fof(f44,axiom,
tptp1 != tptp2,
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',sos_46) ).
fof(f48,conjecture,
~ ? [X0] : occurrence_of(X0,tptp0),
file('/export/starexec/sandbox/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(f57,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ occurrence_of(X2,X3)
| atomic(X3)
| ~ leaf_occ(X0,X2)
| ~ leaf_occ(X1,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f58,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ occurrence_of(X2,X3)
| atomic(X3)
| ~ leaf_occ(X0,X2)
| ~ leaf_occ(X1,X2) ),
inference(flattening,[],[f57]) ).
fof(f59,plain,
! [X0,X1,X2] :
( next_subocc(X0,X1,X2)
<=> ( min_precedes(X0,X1,X2)
& ! [X3] :
( ~ min_precedes(X0,X3,X2)
| ~ min_precedes(X3,X1,X2) ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f64,plain,
! [X0,X1] :
( legal(X0)
| ~ root(X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f65,plain,
! [X0,X1] :
( ( arboreal(X0)
<=> atomic(X1) )
| ~ occurrence_of(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f69,plain,
! [X0] :
( arboreal(X0)
| ~ legal(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f72,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X3,X1,X2)
| ~ occurrence_of(X0,X2)
| ~ root_occ(X1,X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f73,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X3,X1,X2)
| ~ occurrence_of(X0,X2)
| ~ root_occ(X1,X0) ),
inference(flattening,[],[f72]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X1,X3,X2)
| ~ occurrence_of(X0,X2)
| ~ leaf_occ(X1,X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f75,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X1,X3,X2)
| ~ occurrence_of(X0,X2)
| ~ leaf_occ(X1,X0) ),
inference(flattening,[],[f74]) ).
fof(f76,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X1)
| ~ occurrence_of(X0,X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f77,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X1)
| ~ occurrence_of(X0,X2) ),
inference(flattening,[],[f76]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ? [X3] :
( occurrence_of(X3,X0)
& subactivity_occurrence(X1,X3)
& subactivity_occurrence(X2,X3) )
| ~ min_precedes(X1,X2,X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f91,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(f92,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(f93,plain,
! [X0,X1] :
( root_occ(X0,X1)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(flattening,[],[f92]) ).
fof(f94,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(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(flattening,[],[f94]) ).
fof(f96,plain,
! [X0,X1,X2] :
( ( next_subocc(X0,X1,X2)
| ~ min_precedes(X0,X1,X2)
| ? [X3] :
( min_precedes(X0,X3,X2)
& min_precedes(X3,X1,X2) ) )
& ( ( min_precedes(X0,X1,X2)
& ! [X3] :
( ~ min_precedes(X0,X3,X2)
| ~ min_precedes(X3,X1,X2) ) )
| ~ next_subocc(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f59]) ).
fof(f97,plain,
! [X0,X1,X2] :
( ( next_subocc(X0,X1,X2)
| ~ min_precedes(X0,X1,X2)
| ? [X3] :
( min_precedes(X0,X3,X2)
& min_precedes(X3,X1,X2) ) )
& ( ( min_precedes(X0,X1,X2)
& ! [X3] :
( ~ min_precedes(X0,X3,X2)
| ~ min_precedes(X3,X1,X2) ) )
| ~ next_subocc(X0,X1,X2) ) ),
inference(flattening,[],[f96]) ).
fof(f98,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,[],[f97]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ( next_subocc(X0,X1,X2)
| ~ min_precedes(X0,X1,X2)
| ( min_precedes(X0,sK0(X0,X1,X2),X2)
& min_precedes(sK0(X0,X1,X2),X1,X2) ) )
& ( ( min_precedes(X0,X1,X2)
& ! [X4] :
( ~ min_precedes(X0,X4,X2)
| ~ min_precedes(X4,X1,X2) ) )
| ~ next_subocc(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1,X2))],[f98]) ).
fof(f102,plain,
! [X0,X1] :
( ( root_occ(X0,X1)
| ! [X2] :
( ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ root(X0,X2) ) )
& ( ? [X2] :
( occurrence_of(X1,X2)
& subactivity_occurrence(X0,X1)
& root(X0,X2) )
| ~ root_occ(X0,X1) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f103,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,[],[f102]) ).
fof(f104,plain,
! [X0,X1] :
( ( root_occ(X0,X1)
| ! [X2] :
( ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ root(X0,X2) ) )
& ( ( occurrence_of(X1,sK1(X0,X1))
& subactivity_occurrence(X0,X1)
& root(X0,sK1(X0,X1)) )
| ~ root_occ(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X0,X1))],[f103]) ).
fof(f108,plain,
! [X0,X1] :
( ( ( arboreal(X0)
| ~ atomic(X1) )
& ( atomic(X1)
| ~ arboreal(X0) ) )
| ~ occurrence_of(X0,X1) ),
inference(nnf_transformation,[],[f65]) ).
fof(f118,plain,
! [X0,X1,X2] :
( ( occurrence_of(sK8(X0,X1,X2),X0)
& subactivity_occurrence(X1,sK8(X0,X1,X2))
& subactivity_occurrence(X2,sK8(X0,X1,X2)) )
| ~ min_precedes(X1,X2,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X3,sK8(X0,X1,X2))],[f80]) ).
fof(f123,plain,
! [X0] :
( ( occurrence_of(sK14(X0),tptp4)
& root_occ(sK14(X0),X0)
& ( occurrence_of(sK15(X0),tptp3)
| occurrence_of(sK15(X0),tptp2) )
& leaf_occ(sK15(X0),X0)
& next_subocc(sK14(X0),sK15(X0),tptp0) )
| ~ occurrence_of(X0,tptp0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15]),skolemize(X1,sK14(X0)),skolemize(X2,sK15(X0))],[f91]) ).
fof(f124,plain,
! [X0,X1] :
( ( occurrence_of(sK16(X0),tptp1)
& next_subocc(X0,sK16(X0),tptp0) )
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X2,sK16(X0))],[f95]) ).
fof(f125,plain,
occurrence_of(sK17,tptp0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(X0,sK17)],[f50]) ).
fof(f129,plain,
! [X2,X3,X0,X1] :
( ~ leaf_occ(X1,X2)
| ~ occurrence_of(X2,X3)
| atomic(X3)
| ~ leaf_occ(X0,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f58]) ).
fof(f131,plain,
! [X2,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f142,plain,
! [X0,X1] :
( root(X0,sK1(X0,X1))
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f143,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f144,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| occurrence_of(X1,sK1(X0,X1)) ),
inference(cnf_transformation,[],[f104]) ).
fof(f150,plain,
! [X0,X1] :
( ~ root(X0,X1)
| legal(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f152,plain,
! [X0,X1] :
( ~ atomic(X1)
| arboreal(X0)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f162,plain,
! [X0] :
( ~ legal(X0)
| arboreal(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f167,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X3,X1,X2)
| ~ occurrence_of(X0,X2)
| ~ root_occ(X1,X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f168,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X1,X3,X2)
| ~ occurrence_of(X0,X2)
| ~ leaf_occ(X1,X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f169,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f77]) ).
fof(f172,plain,
! [X2,X0,X1] :
( subactivity_occurrence(X2,sK8(X0,X1,X2))
| ~ min_precedes(X1,X2,X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f174,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| occurrence_of(sK8(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f189,plain,
! [X0] :
( next_subocc(sK14(X0),sK15(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f190,plain,
! [X0] :
( leaf_occ(sK15(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f191,plain,
! [X0] :
( occurrence_of(sK15(X0),tptp2)
| occurrence_of(sK15(X0),tptp3)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f192,plain,
! [X0] :
( root_occ(sK14(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f195,plain,
~ atomic(tptp0),
inference(cnf_transformation,[],[f35]) ).
fof(f199,plain,
atomic(tptp1),
inference(cnf_transformation,[],[f39]) ).
fof(f203,plain,
tptp3 != tptp1,
inference(cnf_transformation,[],[f43]) ).
fof(f204,plain,
tptp2 != tptp1,
inference(cnf_transformation,[],[f44]) ).
fof(f206,plain,
! [X0,X1] :
( ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| root_occ(X0,X1)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f207,plain,
! [X0,X1] :
( ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| next_subocc(X0,sK16(X0),tptp0)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f124]) ).
fof(f208,plain,
! [X0,X1] :
( ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| occurrence_of(sK16(X0),tptp1)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f124]) ).
fof(f209,plain,
occurrence_of(sK17,tptp0),
inference(cnf_transformation,[],[f125]) ).
fof(f210,plain,
! [X0] :
( ~ occurrence_of(sK17,X0)
| tptp0 = X0 ),
inference(resolution,[],[f169,f209]) ).
fof(f234,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| min_precedes(sK14(X0),sK15(X0),tptp0) ),
inference(resolution,[],[f189,f131]) ).
fof(f235,plain,
min_precedes(sK14(sK17),sK15(sK17),tptp0),
inference(resolution,[],[f234,f209]) ).
fof(f239,plain,
! [X0] :
( ~ leaf_occ(sK14(sK17),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f235,f168]) ).
fof(f240,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,tptp0)
| atomic(X1)
| ~ leaf_occ(X2,X0)
| sK15(X0) = X2
| ~ occurrence_of(X0,X1) ),
inference(resolution,[],[f129,f190]) ).
fof(f263,plain,
! [X0] :
( subactivity_occurrence(sK14(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f143,f192]) ).
fof(f307,plain,
! [X0] :
( ~ occurrence_of(X0,tptp1)
| arboreal(X0) ),
inference(resolution,[],[f199,f152]) ).
fof(f308,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| occurrence_of(X0,sK1(sK14(X0),X0)) ),
inference(resolution,[],[f144,f192]) ).
fof(f309,plain,
occurrence_of(sK17,sK1(sK14(sK17),sK17)),
inference(resolution,[],[f308,f209]) ).
fof(f311,plain,
tptp0 = sK1(sK14(sK17),sK17),
inference(resolution,[],[f309,f210]) ).
fof(f317,plain,
( root(sK14(sK17),tptp0)
| ~ root_occ(sK14(sK17),sK17) ),
inference(superposition,[],[f142,f311]) ).
fof(f319,definition,
( spl18_10
<=> root_occ(sK14(sK17),sK17) ),
introduced(definition,[new_symbols(definition,[spl18_10])],[avatar_definition]) ).
fof(f320,plain,
( ~ root_occ(sK14(sK17),sK17)
| spl18_10 ),
inference(avatar_component_clause,[],[f319]) ).
fof(f322,definition,
( spl18_11
<=> root(sK14(sK17),tptp0) ),
introduced(definition,[new_symbols(definition,[spl18_11])],[avatar_definition]) ).
fof(f323,plain,
( root(sK14(sK17),tptp0)
| ~ spl18_11 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f324,plain,
( ~ spl18_10
| spl18_11 ),
inference(avatar_split_clause,[],[f317,f322,f319]) ).
fof(f330,plain,
( ~ occurrence_of(sK17,tptp0)
| spl18_10 ),
inference(resolution,[],[f320,f192]) ).
fof(f332,plain,
( $false
| spl18_10 ),
inference(forward_subsumption_resolution,[],[f330,f209]) ).
fof(f333,plain,
spl18_10,
inference(avatar_contradiction_clause,[],[f332]) ).
fof(f415,plain,
( legal(sK14(sK17))
| ~ spl18_11 ),
inference(resolution,[],[f150,f323]) ).
fof(f455,plain,
( arboreal(sK14(sK17))
| ~ spl18_11 ),
inference(resolution,[],[f415,f162]) ).
fof(f458,plain,
( ! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK14(sK17),X0)
| occurrence_of(sK16(sK14(sK17)),tptp1)
| leaf_occ(sK14(sK17),X0) )
| ~ spl18_11 ),
inference(resolution,[],[f455,f208]) ).
fof(f459,plain,
( ! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK14(sK17),X0)
| next_subocc(sK14(sK17),sK16(sK14(sK17)),tptp0)
| leaf_occ(sK14(sK17),X0) )
| ~ spl18_11 ),
inference(resolution,[],[f455,f207]) ).
fof(f461,plain,
( ! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK14(sK17),X0)
| next_subocc(sK14(sK17),sK16(sK14(sK17)),tptp0) )
| ~ spl18_11 ),
inference(forward_subsumption_resolution,[],[f459,f239]) ).
fof(f462,plain,
( ! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK14(sK17),X0)
| occurrence_of(sK16(sK14(sK17)),tptp1) )
| ~ spl18_11 ),
inference(forward_subsumption_resolution,[],[f458,f239]) ).
fof(f464,definition,
( spl18_20
<=> next_subocc(sK14(sK17),sK16(sK14(sK17)),tptp0) ),
introduced(definition,[new_symbols(definition,[spl18_20])],[avatar_definition]) ).
fof(f465,plain,
( next_subocc(sK14(sK17),sK16(sK14(sK17)),tptp0)
| ~ spl18_20 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f467,definition,
( spl18_21
<=> ! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK14(sK17),X0) ) ),
introduced(definition,[new_symbols(definition,[spl18_21])],[avatar_definition]) ).
fof(f468,plain,
( ! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK14(sK17),X0) )
| ~ spl18_21 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f469,plain,
( spl18_20
| spl18_21
| ~ spl18_11 ),
inference(avatar_split_clause,[],[f461,f322,f467,f464]) ).
fof(f471,definition,
( spl18_22
<=> occurrence_of(sK16(sK14(sK17)),tptp1) ),
introduced(definition,[new_symbols(definition,[spl18_22])],[avatar_definition]) ).
fof(f472,plain,
( occurrence_of(sK16(sK14(sK17)),tptp1)
| ~ spl18_22 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f473,plain,
( spl18_22
| spl18_21
| ~ spl18_11 ),
inference(avatar_split_clause,[],[f462,f322,f467,f471]) ).
fof(f475,plain,
( ~ subactivity_occurrence(sK14(sK17),sK17)
| ~ spl18_21 ),
inference(resolution,[],[f468,f209]) ).
fof(f477,plain,
( ~ occurrence_of(sK17,tptp0)
| ~ spl18_21 ),
inference(resolution,[],[f475,f263]) ).
fof(f479,plain,
( $false
| ~ spl18_21 ),
inference(forward_subsumption_resolution,[],[f477,f209]) ).
fof(f480,plain,
~ spl18_21,
inference(avatar_contradiction_clause,[],[f479]) ).
fof(f483,plain,
( ! [X0] :
( ~ occurrence_of(sK16(sK14(sK17)),X0)
| tptp1 = X0 )
| ~ spl18_22 ),
inference(resolution,[],[f472,f169]) ).
fof(f485,plain,
( min_precedes(sK14(sK17),sK16(sK14(sK17)),tptp0)
| ~ spl18_20 ),
inference(resolution,[],[f465,f131]) ).
fof(f489,plain,
( ! [X0] :
( ~ root_occ(sK16(sK14(sK17)),X0)
| ~ occurrence_of(X0,tptp0) )
| ~ spl18_20 ),
inference(resolution,[],[f485,f167]) ).
fof(f491,plain,
( occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),tptp0)
| ~ spl18_20 ),
inference(resolution,[],[f485,f174]) ).
fof(f497,plain,
( ! [X0,X1] :
( atomic(X0)
| ~ leaf_occ(X1,sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))
| sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))) = X1
| ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),X0) )
| ~ spl18_20 ),
inference(resolution,[],[f491,f240]) ).
fof(f501,plain,
( occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),sK1(sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))))
| ~ spl18_20 ),
inference(resolution,[],[f491,f308]) ).
fof(f505,plain,
( ! [X0] :
( ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),X0)
| tptp0 = X0 )
| ~ spl18_20 ),
inference(resolution,[],[f491,f169]) ).
fof(f521,definition,
( spl18_27
<=> ! [X1] :
( ~ leaf_occ(X1,sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))
| sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))) = X1 ) ),
introduced(definition,[new_symbols(definition,[spl18_27])],[avatar_definition]) ).
fof(f522,plain,
( ! [X1] :
( ~ leaf_occ(X1,sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))
| sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))) = X1 )
| ~ spl18_27 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f524,definition,
( spl18_28
<=> ! [X0] :
( atomic(X0)
| ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),X0) ) ),
introduced(definition,[new_symbols(definition,[spl18_28])],[avatar_definition]) ).
fof(f525,plain,
( ! [X0] :
( ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),X0)
| atomic(X0) )
| ~ spl18_28 ),
inference(avatar_component_clause,[],[f524]) ).
fof(f526,plain,
( spl18_27
| spl18_28
| ~ spl18_20 ),
inference(avatar_split_clause,[],[f497,f464,f524,f521]) ).
fof(f565,plain,
( tptp0 = sK1(sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))
| ~ spl18_20 ),
inference(resolution,[],[f505,f501]) ).
fof(f612,plain,
( arboreal(sK16(sK14(sK17)))
| ~ spl18_22 ),
inference(resolution,[],[f307,f472]) ).
fof(f617,plain,
( ! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK16(sK14(sK17)),X0)
| root_occ(sK16(sK14(sK17)),X0)
| leaf_occ(sK16(sK14(sK17)),X0) )
| ~ spl18_22 ),
inference(resolution,[],[f612,f206]) ).
fof(f618,plain,
( ! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK16(sK14(sK17)),X0)
| leaf_occ(sK16(sK14(sK17)),X0) )
| ~ spl18_20
| ~ spl18_22 ),
inference(forward_subsumption_resolution,[],[f617,f489]) ).
fof(f623,definition,
( spl18_30
<=> ! [X0] :
( ~ occurrence_of(X0,tptp0)
| leaf_occ(sK16(sK14(sK17)),X0)
| ~ subactivity_occurrence(sK16(sK14(sK17)),X0) ) ),
introduced(definition,[new_symbols(definition,[spl18_30])],[avatar_definition]) ).
fof(f624,plain,
( ! [X0] :
( ~ subactivity_occurrence(sK16(sK14(sK17)),X0)
| leaf_occ(sK16(sK14(sK17)),X0)
| ~ occurrence_of(X0,tptp0) )
| ~ spl18_30 ),
inference(avatar_component_clause,[],[f623]) ).
fof(f630,plain,
( spl18_30
| ~ spl18_20
| ~ spl18_22 ),
inference(avatar_split_clause,[],[f618,f471,f464,f623]) ).
fof(f631,plain,
( ! [X0,X1] :
( ~ occurrence_of(sK8(X0,X1,sK16(sK14(sK17))),tptp0)
| leaf_occ(sK16(sK14(sK17)),sK8(X0,X1,sK16(sK14(sK17))))
| ~ min_precedes(X1,sK16(sK14(sK17)),X0) )
| ~ spl18_30 ),
inference(resolution,[],[f624,f172]) ).
fof(f633,plain,
( leaf_occ(sK16(sK14(sK17)),sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))
| ~ min_precedes(sK14(sK17),sK16(sK14(sK17)),tptp0)
| ~ spl18_20
| ~ spl18_30 ),
inference(resolution,[],[f631,f491]) ).
fof(f634,plain,
( leaf_occ(sK16(sK14(sK17)),sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))
| ~ spl18_20
| ~ spl18_30 ),
inference(forward_subsumption_resolution,[],[f633,f485]) ).
fof(f635,plain,
( sK16(sK14(sK17)) = sK15(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))
| ~ spl18_20
| ~ spl18_27
| ~ spl18_30 ),
inference(resolution,[],[f634,f522]) ).
fof(f649,plain,
( occurrence_of(sK16(sK14(sK17)),tptp2)
| occurrence_of(sK16(sK14(sK17)),tptp3)
| ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),tptp0)
| ~ spl18_20
| ~ spl18_27
| ~ spl18_30 ),
inference(superposition,[],[f191,f635]) ).
fof(f652,plain,
( occurrence_of(sK16(sK14(sK17)),tptp2)
| occurrence_of(sK16(sK14(sK17)),tptp3)
| ~ spl18_20
| ~ spl18_27
| ~ spl18_30 ),
inference(forward_subsumption_resolution,[],[f649,f491]) ).
fof(f673,plain,
( atomic(sK1(sK14(sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))),sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))))
| ~ spl18_20
| ~ spl18_28 ),
inference(resolution,[],[f525,f501]) ).
fof(f677,plain,
( atomic(tptp0)
| ~ spl18_20
| ~ spl18_28 ),
inference(forward_demodulation,[],[f673,f565]) ).
fof(f682,plain,
( $false
| ~ spl18_20
| ~ spl18_28 ),
inference(forward_subsumption_resolution,[],[f677,f195]) ).
fof(f683,plain,
( ~ spl18_20
| ~ spl18_28 ),
inference(avatar_contradiction_clause,[],[f682]) ).
fof(f685,definition,
( spl18_33
<=> occurrence_of(sK16(sK14(sK17)),tptp3) ),
introduced(definition,[new_symbols(definition,[spl18_33])],[avatar_definition]) ).
fof(f686,plain,
( occurrence_of(sK16(sK14(sK17)),tptp3)
| ~ spl18_33 ),
inference(avatar_component_clause,[],[f685]) ).
fof(f688,definition,
( spl18_34
<=> occurrence_of(sK16(sK14(sK17)),tptp2) ),
introduced(definition,[new_symbols(definition,[spl18_34])],[avatar_definition]) ).
fof(f689,plain,
( occurrence_of(sK16(sK14(sK17)),tptp2)
| ~ spl18_34 ),
inference(avatar_component_clause,[],[f688]) ).
fof(f690,plain,
( spl18_33
| spl18_34
| ~ spl18_20
| ~ spl18_27
| ~ spl18_30 ),
inference(avatar_split_clause,[],[f652,f623,f521,f464,f688,f685]) ).
fof(f716,plain,
( tptp3 = tptp1
| ~ spl18_22
| ~ spl18_33 ),
inference(resolution,[],[f686,f483]) ).
fof(f723,plain,
( $false
| ~ spl18_22
| ~ spl18_33 ),
inference(forward_subsumption_resolution,[],[f716,f203]) ).
fof(f724,plain,
( ~ spl18_22
| ~ spl18_33 ),
inference(avatar_contradiction_clause,[],[f723]) ).
fof(f730,plain,
( tptp2 = tptp1
| ~ spl18_22
| ~ spl18_34 ),
inference(resolution,[],[f689,f483]) ).
fof(f737,plain,
( $false
| ~ spl18_22
| ~ spl18_34 ),
inference(forward_subsumption_resolution,[],[f730,f204]) ).
fof(f738,plain,
( ~ spl18_22
| ~ spl18_34 ),
inference(avatar_contradiction_clause,[],[f737]) ).
cnf(s10,plain,
( ~ spl18_10
| spl18_11 ),
inference(sat_conversion,[],[f324]) ).
cnf(s12,plain,
spl18_10,
inference(sat_conversion,[],[f333]) ).
cnf(s29,plain,
( ~ spl18_11
| spl18_20
| spl18_21 ),
inference(sat_conversion,[],[f469]) ).
cnf(s30,plain,
( ~ spl18_11
| spl18_21
| spl18_22 ),
inference(sat_conversion,[],[f473]) ).
cnf(s32,plain,
~ spl18_21,
inference(sat_conversion,[],[f480]) ).
cnf(s35,plain,
( ~ spl18_20
| spl18_27
| spl18_28 ),
inference(sat_conversion,[],[f526]) ).
cnf(s43,plain,
( ~ spl18_20
| ~ spl18_22
| spl18_30 ),
inference(sat_conversion,[],[f630]) ).
cnf(s52,plain,
( ~ spl18_20
| ~ spl18_28 ),
inference(sat_conversion,[],[f683]) ).
cnf(s53,plain,
( ~ spl18_20
| ~ spl18_27
| ~ spl18_30
| spl18_33
| spl18_34 ),
inference(sat_conversion,[],[f690]) ).
cnf(s60,plain,
( ~ spl18_22
| ~ spl18_33 ),
inference(sat_conversion,[],[f724]) ).
cnf(s64,plain,
( ~ spl18_22
| ~ spl18_34 ),
inference(sat_conversion,[],[f738]) ).
cnf(s65,plain,
( ~ spl18_11
| spl18_22 ),
inference(rat,[],[s30,s32]) ).
cnf(s66,plain,
( ~ spl18_11
| spl18_20 ),
inference(rat,[],[s29,s32]) ).
cnf(s69,plain,
spl18_11,
inference(rat,[],[s10,s12]) ).
cnf(s70,plain,
spl18_22,
inference(rat,[],[s65,s69]) ).
cnf(s71,plain,
spl18_20,
inference(rat,[],[s66,s69]) ).
cnf(s72,plain,
~ spl18_34,
inference(rat,[],[s64,s70]) ).
cnf(s73,plain,
~ spl18_33,
inference(rat,[],[s60,s70]) ).
cnf(s74,plain,
~ spl18_28,
inference(rat,[],[s52,s71]) ).
cnf(s75,plain,
spl18_30,
inference(rat,[],[s43,s70,s71]) ).
cnf(s77,plain,
spl18_27,
inference(rat,[],[s35,s74,s71]) ).
cnf(s78,plain,
$false,
inference(rat,[],[s53,s72,s73,s71,s75,s77]) ).
fof(f739,plain,
$false,
inference(avatar_sat_refutation,[],[s78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PRO005+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.36 % Computer : n018.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 27 22:19:09 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.40 Running first-order theorem proving
% 0.08/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.86/1.94 % (2790632)Detected formulas, will run a generic FOF schedule.
% 6.86/1.94 % (2790641)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3079410507:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.86/1.94 % (2790641)Refutation not found, incomplete strategy
% 6.86/1.94 % (2790641)------------------------------
% 6.86/1.94 % (2790641)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.94 % (2790641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.94 % (2790641)CaDiCaL version: 2.1.3
% 6.86/1.94 % (2790641)Termination reason: Refutation not found, incomplete strategy
% 6.86/1.94 % (2790641)Time elapsed: 0.0000 s
% 6.86/1.94 % (2790641)Peak memory usage: 86 MB
% 6.86/1.94 % (2790640)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3744508245:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.86/1.94 % (2790640)Refutation not found, incomplete strategy
% 6.86/1.94 % (2790640)------------------------------
% 6.86/1.94 % (2790640)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.94 % (2790640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.94 % (2790640)CaDiCaL version: 2.1.3
% 6.86/1.94 % (2790640)Termination reason: Refutation not found, incomplete strategy
% 6.86/1.94 % (2790640)Time elapsed: 0.001 s
% 6.86/1.94 % (2790640)Peak memory usage: 86 MB
% 6.86/1.94 % (2790638)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=2873328813:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.86/1.94 % (2790637)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=3296808636:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.86/1.94 % (2790639)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=3999862194:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.86/1.94 % (2790642)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=107032355:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.86/1.94 % (2790643)dis-21_1_sil=8000:lcm=predicate:random_seed=2608565406: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)
% 6.86/1.94 % (2790643)Instruction limit reached!
% 6.86/1.94 % (2790643)------------------------------
% 6.86/1.94 % (2790643)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.94 % (2790643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.94 % (2790643)CaDiCaL version: 2.1.3
% 6.86/1.94 % (2790643)Termination reason: Instruction limit
% 6.86/1.94 % (2790643)Termination phase: Saturation
% 6.86/1.94 % (2790643)Time elapsed: 0.066 s
% 6.86/1.94 % (2790643)Peak memory usage: 88 MB
% 6.86/1.94 % (2790643)Instructions burned: 130 (million)
% 6.86/1.94 % (2790642)Instruction limit reached!
% 6.86/1.94 % (2790642)------------------------------
% 6.86/1.94 % (2790642)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.94 % (2790642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.94 % (2790642)CaDiCaL version: 2.1.3
% 6.86/1.94 % (2790642)Termination reason: Instruction limit
% 6.86/1.94 % (2790642)Termination phase: Saturation
% 6.86/1.94 % (2790642)Time elapsed: 0.107 s
% 6.86/1.94 % (2790642)Peak memory usage: 90 MB
% 6.86/1.94 % (2790642)Instructions burned: 140 (million)
% 6.86/1.94 % (2790641)------------------------------
% 6.86/1.94 % (2790641)------------------------------
% 6.86/1.94 % (2790651)lrs+10_1_sil=8000:sp=occurrence:random_seed=1477230849:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.86/1.94 % (2790653)lrs+1011_1_sil=32000:sp=occurrence:random_seed=62680421:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.86/1.94 % (2790640)------------------------------
% 6.86/1.94 % (2790640)------------------------------
% 6.86/1.94 % (2790652)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3934767860:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.86/1.94 % (2790652)Refutation not found, incomplete strategy
% 6.86/1.94 % (2790652)------------------------------
% 6.86/1.94 % (2790652)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.94 % (2790652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.94 % (2790652)CaDiCaL version: 2.1.3
% 6.86/1.94 % (2790652)Termination reason: Refutation not found, incomplete strategy
% 6.86/1.94 % (2790652)Time elapsed: 0.001 s
% 6.86/1.94 % (2790652)Peak memory usage: 88 MB
% 6.86/1.94 % (2790653)Instruction limit reached!
% 6.86/1.94 % (2790653)------------------------------
% 6.86/1.94 % (2790653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.94 % (2790653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.94 % (2790653)CaDiCaL version: 2.1.3
% 6.86/1.94 % (2790653)Termination reason: Instruction limit
% 6.86/1.94 % (2790653)Termination phase: Saturation
% 6.86/1.94 % (2790653)Time elapsed: 0.110 s
% 6.86/1.94 % (2790653)Peak memory usage: 91 MB
% 6.86/1.94 % (2790653)Instructions burned: 325 (million)
% 6.86/1.94 % (2790656)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=45465978:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.86/1.94 % (2790651)Instruction limit reached!
% 6.86/1.94 % (2790651)------------------------------
% 6.86/1.94 % (2790651)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.94 % (2790651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.94 % (2790651)CaDiCaL version: 2.1.3
% 6.86/1.94 % (2790651)Termination reason: Instruction limit
% 6.86/1.94 % (2790651)Termination phase: Saturation
% 6.86/1.94 % (2790651)Time elapsed: 0.185 s
% 6.86/1.94 % (2790651)Peak memory usage: 91 MB
% 6.86/1.94 % (2790651)Instructions burned: 286 (million)
% 6.86/1.94 % (2790658)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1584173923:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.86/1.94 % (2790652)------------------------------
% 6.86/1.94 % (2790652)------------------------------
% 6.86/1.94 % (2790656)Instruction limit reached!
% 6.86/1.94 % (2790656)------------------------------
% 6.86/1.94 % (2790656)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.94 % (2790656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.94 % (2790656)CaDiCaL version: 2.1.3
% 6.86/1.94 % (2790656)Termination reason: Instruction limit
% 6.86/1.94 % (2790656)Termination phase: Saturation
% 6.86/1.94 % (2790656)Time elapsed: 0.152 s
% 6.86/1.94 % (2790656)Peak memory usage: 90 MB
% 6.86/1.94 % (2790656)Instructions burned: 248 (million)
% 6.86/1.94 % (2790658)Instruction limit reached!
% 6.86/1.94 % (2790658)------------------------------
% 6.86/1.94 % (2790658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.94 % (2790658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.94 % (2790658)CaDiCaL version: 2.1.3
% 6.86/1.94 % (2790658)Termination reason: Instruction limit
% 6.86/1.94 % (2790658)Termination phase: Saturation
% 6.86/1.94 % (2790658)Time elapsed: 0.087 s
% 6.86/1.94 % (2790658)Peak memory usage: 88 MB
% 6.86/1.94 % (2790658)Instructions burned: 297 (million)
% 6.86/1.94 % (2790660)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=442099455:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.86/1.94 % (2790665)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=432317429:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.86/1.94 % (2790665)Refutation not found, incomplete strategy
% 6.86/1.94 % (2790665)------------------------------
% 6.86/1.94 % (2790665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.94 % (2790665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.94 % (2790665)CaDiCaL version: 2.1.3
% 6.86/1.94 % (2790665)Termination reason: Refutation not found, incomplete strategy
% 6.86/1.94 % (2790665)Time elapsed: 0.0000 s
% 6.86/1.94 % (2790665)Peak memory usage: 87 MB
% 6.86/1.94 % (2790662)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3942508266:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.86/1.94 % (2790664)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2653280021:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.86/1.94 % (2790638)First to succeed.
% 6.86/1.94 % (2790638)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2790632"
% 6.86/1.94 % (2790664)Instruction limit reached!
% 6.86/1.94 % (2790664)------------------------------
% 6.86/1.94 % (2790664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.94 % (2790664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.94 % (2790664)CaDiCaL version: 2.1.3
% 6.86/1.94 % (2790664)Termination reason: Instruction limit
% 6.86/1.94 % (2790664)Termination phase: Saturation
% 6.86/1.94 % (2790664)Time elapsed: 0.067 s
% 6.86/1.94 % (2790664)Peak memory usage: 89 MB
% 6.86/1.94 % (2790664)Instructions burned: 127 (million)
% 6.86/1.94 % (2790662)Instruction limit reached!
% 6.86/1.94 % (2790662)------------------------------
% 6.86/1.94 % (2790662)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.94 % (2790662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.94 % (2790662)CaDiCaL version: 2.1.3
% 6.86/1.94 % (2790662)Termination reason: Instruction limit
% 6.86/1.94 % (2790662)Termination phase: Saturation
% 6.86/1.94 % (2790662)Time elapsed: 0.084 s
% 6.86/1.94 % (2790662)Peak memory usage: 90 MB
% 6.86/1.94 % (2790662)Instructions burned: 114 (million)
% 6.86/1.94 % (2790665)------------------------------
% 6.86/1.94 % (2790665)------------------------------
% 6.86/1.94 % (2790637)Also succeeded, but the first one will report.
% 6.86/1.94 % (2790670)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3411264077:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.86/1.94 % (2790671)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2245051138:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 6.86/1.94 % (2790669)lrs+10_1_sil=8000:sp=occurrence:random_seed=18384756:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.86/1.94 % (2790670)Refutation not found, incomplete strategy
% 6.86/1.94 % (2790670)------------------------------
% 6.86/1.94 % (2790670)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.94 % (2790670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.94 % (2790670)CaDiCaL version: 2.1.3
% 6.86/1.94 % (2790670)Termination reason: Refutation not found, incomplete strategy
% 6.86/1.94 % (2790670)Time elapsed: 0.004 s
% 6.86/1.94 % (2790670)Peak memory usage: 88 MB
% 6.86/1.94 % (2790670)Instructions burned: 5 (million)
% 6.86/1.94 % (2790638)Refutation found. Thanks to Tanya!
% 6.86/1.94 % SZS status Theorem for theBenchmark
% 6.86/1.94 % SZS output start Proof for theBenchmark
% See solution above
% 8.38/2.04 % (2790638)------------------------------
% 8.38/2.04 % (2790638)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.38/2.04 % (2790638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.38/2.04 % (2790638)CaDiCaL version: 2.1.3
% 8.38/2.04 % (2790638)Termination reason: Refutation
% 8.38/2.04 % (2790638)Time elapsed: 0.704 s
% 8.38/2.04 % (2790638)Peak memory usage: 130 MB
% 8.38/2.04 % (2790638)Instructions burned: 1030 (million)
% 8.38/2.04 % (2790638)------------------------------
% 8.38/2.04 % (2790638)------------------------------
% 8.38/2.04 % (2790632)Success in time 1.113 s
% 8.38/2.04 % Vampire exiting
%------------------------------------------------------------------------------