%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PRO005+3 : 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 : n001.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 6.48s 2.03s
% Output : Refutation 8.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 27
% Syntax : Number of formulae : 185 ( 32 unt; 13 def)
% Number of atoms : 562 ( 35 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 668 ( 291 ~; 282 |; 70 &)
% ( 17 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 14 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 224 ( 0 sgn 201 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1,X2] :
( ( occurrence_of(X0,X1)
& occurrence_of(X0,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
fof(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(f26,axiom,
! [X0,X1,X2] :
( min_precedes(X1,X2,X0)
=> ? [X3] :
( occurrence_of(X3,X0)
& subactivity_occurrence(X1,X3)
& subactivity_occurrence(X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_25) ).
fof(f34,axiom,
! [X0,X1] :
( root_occ(X0,X1)
<=> ? [X2] :
( occurrence_of(X1,X2)
& subactivity_occurrence(X0,X1)
& root(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_33) ).
fof(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(f36,axiom,
! [X0,X1,X2,X3] :
( ( occurrence_of(X2,X3)
& root_occ(X0,X2)
& root_occ(X1,X2) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_35) ).
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(f40,axiom,
! [X0,X1,X2,X3,X4] :
( ( next_subocc(X0,X1,X3)
& next_subocc(X0,X2,X3)
& occurrence_of(X4,X3)
& subactivity_occurrence(X2,X4)
& subactivity_occurrence(X1,X4) )
=> X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_39) ).
fof(f47,axiom,
! [X0,X1,X2] :
( min_precedes(X0,X1,X2)
=> arboreal(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_46) ).
fof(f50,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_49) ).
fof(f60,axiom,
tptp1 != tptp3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_59) ).
fof(f61,axiom,
tptp1 != tptp2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_60) ).
fof(f64,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_63) ).
fof(f65,conjecture,
~ ? [X0] : occurrence_of(X0,tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f66,negated_conjecture,
~ ~ ? [X0] : occurrence_of(X0,tptp0),
inference(negated_conjecture,[status(cth)],[f65]) ).
fof(f67,plain,
? [X0] : occurrence_of(X0,tptp0),
inference(flattening,[],[f66]) ).
fof(f70,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X1)
| ~ occurrence_of(X0,X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f71,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X1)
| ~ occurrence_of(X0,X2) ),
inference(flattening,[],[f70]) ).
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) ) ) ),
inference(ennf_transformation,[],[f23]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ? [X3] :
( occurrence_of(X3,X0)
& subactivity_occurrence(X1,X3)
& subactivity_occurrence(X2,X3) )
| ~ min_precedes(X1,X2,X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f113,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ occurrence_of(X2,X3)
| ~ root_occ(X0,X2)
| ~ root_occ(X1,X2) ),
inference(ennf_transformation,[],[f36]) ).
fof(f114,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ occurrence_of(X2,X3)
| ~ root_occ(X0,X2)
| ~ root_occ(X1,X2) ),
inference(flattening,[],[f113]) ).
fof(f117,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X1,X3,X2)
| ~ occurrence_of(X0,X2)
| ~ leaf_occ(X1,X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f118,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X1,X3,X2)
| ~ occurrence_of(X0,X2)
| ~ leaf_occ(X1,X0) ),
inference(flattening,[],[f117]) ).
fof(f121,plain,
! [X0,X1,X2,X3,X4] :
( X1 = X2
| ~ next_subocc(X0,X1,X3)
| ~ next_subocc(X0,X2,X3)
| ~ occurrence_of(X4,X3)
| ~ subactivity_occurrence(X2,X4)
| ~ subactivity_occurrence(X1,X4) ),
inference(ennf_transformation,[],[f40]) ).
fof(f122,plain,
! [X0,X1,X2,X3,X4] :
( X1 = X2
| ~ next_subocc(X0,X1,X3)
| ~ next_subocc(X0,X2,X3)
| ~ occurrence_of(X4,X3)
| ~ subactivity_occurrence(X2,X4)
| ~ subactivity_occurrence(X1,X4) ),
inference(flattening,[],[f121]) ).
fof(f134,plain,
! [X0,X1,X2] :
( arboreal(X0)
| ~ min_precedes(X0,X1,X2) ),
inference(ennf_transformation,[],[f47]) ).
fof(f139,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,[],[f50]) ).
fof(f142,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,[],[f64]) ).
fof(f143,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,[],[f142]) ).
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,[],[f96]) ).
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,sK7(X0,X1,X2),X2)
& min_precedes(sK7(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,[sK7]),skolemize(X3,sK7(X0,X1,X2))],[f157]) ).
fof(f162,plain,
! [X0,X1,X2] :
( ( occurrence_of(sK9(X0,X1,X2),X0)
& subactivity_occurrence(X1,sK9(X0,X1,X2))
& subactivity_occurrence(X2,sK9(X0,X1,X2)) )
| ~ min_precedes(X1,X2,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X3,sK9(X0,X1,X2))],[f98]) ).
fof(f166,plain,
! [X0,X1] :
( ( root_occ(X0,X1)
| ! [X2] :
( ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ root(X0,X2) ) )
& ( ? [X2] :
( occurrence_of(X1,X2)
& subactivity_occurrence(X0,X1)
& root(X0,X2) )
| ~ root_occ(X0,X1) ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f167,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,[],[f166]) ).
fof(f168,plain,
! [X0,X1] :
( ( root_occ(X0,X1)
| ! [X2] :
( ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ root(X0,X2) ) )
& ( ( occurrence_of(X1,sK13(X0,X1))
& subactivity_occurrence(X0,X1)
& root(X0,sK13(X0,X1)) )
| ~ root_occ(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X3,sK13(X0,X1))],[f167]) ).
fof(f169,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(f170,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,[],[f169]) ).
fof(f171,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))],[f170]) ).
fof(f173,plain,
! [X0] :
( ( occurrence_of(sK16(X0),tptp4)
& root_occ(sK16(X0),X0)
& ( occurrence_of(sK17(X0),tptp3)
| occurrence_of(sK17(X0),tptp2) )
& leaf_occ(sK17(X0),X0)
& next_subocc(sK16(X0),sK17(X0),tptp0) )
| ~ occurrence_of(X0,tptp0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16,sK17]),skolemize(X1,sK16(X0)),skolemize(X2,sK17(X0))],[f139]) ).
fof(f174,plain,
! [X0,X1] :
( ( occurrence_of(sK18(X0),tptp1)
& next_subocc(X0,sK18(X0),tptp0) )
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(X2,sK18(X0))],[f143]) ).
fof(f175,plain,
occurrence_of(sK19,tptp0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(X0,sK19)],[f67]) ).
fof(f180,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f71]) ).
fof(f212,plain,
! [X2,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f158]) ).
fof(f221,plain,
! [X2,X0,X1] :
( subactivity_occurrence(X2,sK9(X0,X1,X2))
| ~ min_precedes(X1,X2,X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f222,plain,
! [X2,X0,X1] :
( subactivity_occurrence(X1,sK9(X0,X1,X2))
| ~ min_precedes(X1,X2,X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f223,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| occurrence_of(sK9(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f234,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| root(X0,sK13(X0,X1)) ),
inference(cnf_transformation,[],[f168]) ).
fof(f235,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f168]) ).
fof(f236,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| occurrence_of(X1,sK13(X0,X1)) ),
inference(cnf_transformation,[],[f168]) ).
fof(f237,plain,
! [X2,X0,X1] :
( ~ root(X0,X2)
| ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| root_occ(X0,X1) ),
inference(cnf_transformation,[],[f168]) ).
fof(f239,plain,
! [X0,X1] :
( ~ leaf_occ(X0,X1)
| subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f171]) ).
fof(f242,plain,
! [X2,X3,X0,X1] :
( ~ root_occ(X1,X2)
| ~ occurrence_of(X2,X3)
| ~ root_occ(X0,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f114]) ).
fof(f244,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X1,X3,X2)
| ~ occurrence_of(X0,X2)
| ~ leaf_occ(X1,X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f246,plain,
! [X2,X3,X0,X1,X4] :
( ~ next_subocc(X0,X1,X3)
| X1 = X2
| ~ next_subocc(X0,X2,X3)
| ~ occurrence_of(X4,X3)
| ~ subactivity_occurrence(X2,X4)
| ~ subactivity_occurrence(X1,X4) ),
inference(cnf_transformation,[],[f122]) ).
fof(f255,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| arboreal(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f258,plain,
! [X0] :
( next_subocc(sK16(X0),sK17(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f173]) ).
fof(f259,plain,
! [X0] :
( leaf_occ(sK17(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f173]) ).
fof(f260,plain,
! [X0] :
( occurrence_of(sK17(X0),tptp2)
| occurrence_of(sK17(X0),tptp3)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f173]) ).
fof(f261,plain,
! [X0] :
( root_occ(sK16(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f173]) ).
fof(f272,plain,
tptp3 != tptp1,
inference(cnf_transformation,[],[f60]) ).
fof(f273,plain,
tptp2 != tptp1,
inference(cnf_transformation,[],[f61]) ).
fof(f276,plain,
! [X0,X1] :
( ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| next_subocc(X0,sK18(X0),tptp0)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f174]) ).
fof(f277,plain,
! [X0,X1] :
( ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| occurrence_of(sK18(X0),tptp1)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f174]) ).
fof(f278,plain,
occurrence_of(sK19,tptp0),
inference(cnf_transformation,[],[f175]) ).
fof(f279,plain,
! [X0] :
( ~ occurrence_of(sK19,X0)
| tptp0 = X0 ),
inference(resolution,[],[f180,f278]) ).
fof(f281,plain,
! [X0] :
( subactivity_occurrence(sK17(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f239,f259]) ).
fof(f282,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| min_precedes(sK16(X0),sK17(X0),tptp0) ),
inference(resolution,[],[f258,f212]) ).
fof(f283,plain,
min_precedes(sK16(sK19),sK17(sK19),tptp0),
inference(resolution,[],[f282,f278]) ).
fof(f285,plain,
! [X0] :
( ~ leaf_occ(sK16(sK19),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f283,f244]) ).
fof(f318,plain,
! [X2,X0,X1] :
( ~ next_subocc(sK16(X0),X1,tptp0)
| sK17(X0) = X1
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ subactivity_occurrence(sK17(X0),X2)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f246,f258]) ).
fof(f349,plain,
occurrence_of(sK9(tptp0,sK16(sK19),sK17(sK19)),tptp0),
inference(resolution,[],[f223,f283]) ).
fof(f369,plain,
arboreal(sK16(sK19)),
inference(resolution,[],[f255,f283]) ).
fof(f387,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| occurrence_of(X0,sK13(sK16(X0),X0)) ),
inference(resolution,[],[f236,f261]) ).
fof(f389,plain,
occurrence_of(sK19,sK13(sK16(sK19),sK19)),
inference(resolution,[],[f387,f278]) ).
fof(f393,plain,
tptp0 = sK13(sK16(sK19),sK19),
inference(resolution,[],[f389,f279]) ).
fof(f484,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| root(sK16(X0),sK13(sK16(X0),X0)) ),
inference(resolution,[],[f234,f261]) ).
fof(f486,plain,
root(sK16(sK19),sK13(sK16(sK19),sK19)),
inference(resolution,[],[f484,f278]) ).
fof(f487,plain,
root(sK16(sK19),tptp0),
inference(forward_demodulation,[],[f486,f393]) ).
fof(f535,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK16(sK19),X0)
| root_occ(sK16(sK19),X0) ),
inference(resolution,[],[f237,f487]) ).
fof(f536,plain,
( ~ subactivity_occurrence(sK16(sK19),sK9(tptp0,sK16(sK19),sK17(sK19)))
| root_occ(sK16(sK19),sK9(tptp0,sK16(sK19),sK17(sK19))) ),
inference(resolution,[],[f535,f349]) ).
fof(f546,definition,
( spl20_20
<=> root_occ(sK16(sK19),sK9(tptp0,sK16(sK19),sK17(sK19))) ),
introduced(definition,[new_symbols(definition,[spl20_20])],[avatar_definition]) ).
fof(f547,plain,
( root_occ(sK16(sK19),sK9(tptp0,sK16(sK19),sK17(sK19)))
| ~ spl20_20 ),
inference(avatar_component_clause,[],[f546]) ).
fof(f549,definition,
( spl20_21
<=> subactivity_occurrence(sK16(sK19),sK9(tptp0,sK16(sK19),sK17(sK19))) ),
introduced(definition,[new_symbols(definition,[spl20_21])],[avatar_definition]) ).
fof(f550,plain,
( ~ subactivity_occurrence(sK16(sK19),sK9(tptp0,sK16(sK19),sK17(sK19)))
| spl20_21 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f551,plain,
( spl20_20
| ~ spl20_21 ),
inference(avatar_split_clause,[],[f536,f549,f546]) ).
fof(f575,plain,
( ~ min_precedes(sK16(sK19),sK17(sK19),tptp0)
| spl20_21 ),
inference(resolution,[],[f550,f222]) ).
fof(f580,plain,
( $false
| spl20_21 ),
inference(forward_subsumption_resolution,[],[f575,f283]) ).
fof(f581,plain,
spl20_21,
inference(avatar_contradiction_clause,[],[f580]) ).
fof(f586,plain,
( subactivity_occurrence(sK16(sK19),sK9(tptp0,sK16(sK19),sK17(sK19)))
| ~ spl20_20 ),
inference(resolution,[],[f547,f235]) ).
fof(f595,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,tptp0)
| ~ root_occ(X2,X0)
| sK16(X0) = X2
| ~ occurrence_of(X0,X1) ),
inference(resolution,[],[f242,f261]) ).
fof(f625,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK16(sK19),X0)
| next_subocc(sK16(sK19),sK18(sK16(sK19)),tptp0)
| leaf_occ(sK16(sK19),X0) ),
inference(resolution,[],[f369,f276]) ).
fof(f626,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK16(sK19),X0)
| occurrence_of(sK18(sK16(sK19)),tptp1)
| leaf_occ(sK16(sK19),X0) ),
inference(resolution,[],[f369,f277]) ).
fof(f627,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK16(sK19),X0)
| occurrence_of(sK18(sK16(sK19)),tptp1) ),
inference(forward_subsumption_resolution,[],[f626,f285]) ).
fof(f628,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK16(sK19),X0)
| next_subocc(sK16(sK19),sK18(sK16(sK19)),tptp0) ),
inference(forward_subsumption_resolution,[],[f625,f285]) ).
fof(f630,definition,
( spl20_27
<=> occurrence_of(sK18(sK16(sK19)),tptp1) ),
introduced(definition,[new_symbols(definition,[spl20_27])],[avatar_definition]) ).
fof(f631,plain,
( occurrence_of(sK18(sK16(sK19)),tptp1)
| ~ spl20_27 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f633,definition,
( spl20_28
<=> ! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK16(sK19),X0) ) ),
introduced(definition,[new_symbols(definition,[spl20_28])],[avatar_definition]) ).
fof(f634,plain,
( ! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK16(sK19),X0) )
| ~ spl20_28 ),
inference(avatar_component_clause,[],[f633]) ).
fof(f635,plain,
( spl20_27
| spl20_28 ),
inference(avatar_split_clause,[],[f627,f633,f630]) ).
fof(f637,definition,
( spl20_29
<=> next_subocc(sK16(sK19),sK18(sK16(sK19)),tptp0) ),
introduced(definition,[new_symbols(definition,[spl20_29])],[avatar_definition]) ).
fof(f638,plain,
( next_subocc(sK16(sK19),sK18(sK16(sK19)),tptp0)
| ~ spl20_29 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f639,plain,
( spl20_29
| spl20_28 ),
inference(avatar_split_clause,[],[f628,f633,f637]) ).
fof(f642,plain,
( ~ subactivity_occurrence(sK16(sK19),sK9(tptp0,sK16(sK19),sK17(sK19)))
| ~ spl20_28 ),
inference(resolution,[],[f634,f349]) ).
fof(f648,plain,
( $false
| ~ spl20_20
| ~ spl20_28 ),
inference(forward_subsumption_resolution,[],[f642,f586]) ).
fof(f649,plain,
( ~ spl20_20
| ~ spl20_28 ),
inference(avatar_contradiction_clause,[],[f648]) ).
fof(f653,plain,
( ! [X0] :
( ~ occurrence_of(sK18(sK16(sK19)),X0)
| tptp1 = X0 )
| ~ spl20_27 ),
inference(resolution,[],[f631,f180]) ).
fof(f660,plain,
( min_precedes(sK16(sK19),sK18(sK16(sK19)),tptp0)
| ~ spl20_29 ),
inference(resolution,[],[f638,f212]) ).
fof(f665,plain,
( occurrence_of(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))),tptp0)
| ~ spl20_29 ),
inference(resolution,[],[f660,f223]) ).
fof(f689,plain,
( ~ subactivity_occurrence(sK16(sK19),sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))
| root_occ(sK16(sK19),sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))
| ~ spl20_29 ),
inference(resolution,[],[f665,f535]) ).
fof(f690,plain,
( ! [X0,X1] :
( ~ root_occ(X0,sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))
| sK16(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))) = X0
| ~ occurrence_of(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))),X1) )
| ~ spl20_29 ),
inference(resolution,[],[f665,f595]) ).
fof(f695,definition,
( spl20_32
<=> ! [X1] : ~ occurrence_of(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))),X1) ),
introduced(definition,[new_symbols(definition,[spl20_32])],[avatar_definition]) ).
fof(f696,plain,
( ! [X1] : ~ occurrence_of(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))),X1)
| ~ spl20_32 ),
inference(avatar_component_clause,[],[f695]) ).
fof(f698,definition,
( spl20_33
<=> ! [X0] :
( ~ root_occ(X0,sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))
| sK16(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl20_33])],[avatar_definition]) ).
fof(f699,plain,
( ! [X0] :
( ~ root_occ(X0,sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))
| sK16(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))) = X0 )
| ~ spl20_33 ),
inference(avatar_component_clause,[],[f698]) ).
fof(f700,plain,
( spl20_32
| spl20_33
| ~ spl20_29 ),
inference(avatar_split_clause,[],[f690,f637,f698,f695]) ).
fof(f702,definition,
( spl20_34
<=> root_occ(sK16(sK19),sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))) ),
introduced(definition,[new_symbols(definition,[spl20_34])],[avatar_definition]) ).
fof(f703,plain,
( root_occ(sK16(sK19),sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))
| ~ spl20_34 ),
inference(avatar_component_clause,[],[f702]) ).
fof(f705,definition,
( spl20_35
<=> subactivity_occurrence(sK16(sK19),sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))) ),
introduced(definition,[new_symbols(definition,[spl20_35])],[avatar_definition]) ).
fof(f706,plain,
( ~ subactivity_occurrence(sK16(sK19),sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))
| spl20_35 ),
inference(avatar_component_clause,[],[f705]) ).
fof(f707,plain,
( spl20_34
| ~ spl20_35
| ~ spl20_29 ),
inference(avatar_split_clause,[],[f689,f637,f705,f702]) ).
fof(f721,plain,
( ~ min_precedes(sK16(sK19),sK18(sK16(sK19)),tptp0)
| spl20_35 ),
inference(resolution,[],[f706,f222]) ).
fof(f724,plain,
( $false
| ~ spl20_29
| spl20_35 ),
inference(forward_subsumption_resolution,[],[f721,f660]) ).
fof(f725,plain,
( ~ spl20_29
| spl20_35 ),
inference(avatar_contradiction_clause,[],[f724]) ).
fof(f730,plain,
( occurrence_of(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))),sK13(sK16(sK19),sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))))
| ~ spl20_34 ),
inference(resolution,[],[f703,f236]) ).
fof(f732,plain,
( $false
| ~ spl20_32
| ~ spl20_34 ),
inference(forward_subsumption_resolution,[],[f730,f696]) ).
fof(f733,plain,
( ~ spl20_32
| ~ spl20_34 ),
inference(avatar_contradiction_clause,[],[f732]) ).
fof(f744,plain,
( sK16(sK19) = sK16(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))
| ~ spl20_33
| ~ spl20_34 ),
inference(resolution,[],[f699,f703]) ).
fof(f747,plain,
( ! [X0,X1] :
( ~ next_subocc(sK16(sK19),X0,tptp0)
| sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))) = X0
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ subactivity_occurrence(sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))),X1)
| ~ occurrence_of(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))),tptp0) )
| ~ spl20_33
| ~ spl20_34 ),
inference(superposition,[],[f318,f744]) ).
fof(f754,plain,
( ! [X0,X1] :
( ~ subactivity_occurrence(sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))),X1)
| sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))) = X0
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ next_subocc(sK16(sK19),X0,tptp0) )
| ~ spl20_29
| ~ spl20_33
| ~ spl20_34 ),
inference(forward_subsumption_resolution,[],[f747,f665]) ).
fof(f807,plain,
( ! [X0] :
( sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))) = X0
| ~ occurrence_of(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))),tptp0)
| ~ subactivity_occurrence(X0,sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))
| ~ next_subocc(sK16(sK19),X0,tptp0)
| ~ occurrence_of(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))),tptp0) )
| ~ spl20_29
| ~ spl20_33
| ~ spl20_34 ),
inference(resolution,[],[f754,f281]) ).
fof(f810,plain,
( ! [X0] :
( sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))) = X0
| ~ occurrence_of(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))),tptp0)
| ~ subactivity_occurrence(X0,sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))
| ~ next_subocc(sK16(sK19),X0,tptp0) )
| ~ spl20_29
| ~ spl20_33
| ~ spl20_34 ),
inference(duplicate_literal_removal,[],[f807]) ).
fof(f811,plain,
( ! [X0] :
( ~ next_subocc(sK16(sK19),X0,tptp0)
| ~ subactivity_occurrence(X0,sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))
| sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))) = X0 )
| ~ spl20_29
| ~ spl20_33
| ~ spl20_34 ),
inference(forward_subsumption_resolution,[],[f810,f665]) ).
fof(f943,plain,
( ~ subactivity_occurrence(sK18(sK16(sK19)),sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))
| sK18(sK16(sK19)) = sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))
| ~ spl20_29
| ~ spl20_33
| ~ spl20_34 ),
inference(resolution,[],[f811,f638]) ).
fof(f945,definition,
( spl20_47
<=> sK18(sK16(sK19)) = sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))) ),
introduced(definition,[new_symbols(definition,[spl20_47])],[avatar_definition]) ).
fof(f946,plain,
( sK18(sK16(sK19)) = sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))
| ~ spl20_47 ),
inference(avatar_component_clause,[],[f945]) ).
fof(f948,definition,
( spl20_48
<=> subactivity_occurrence(sK18(sK16(sK19)),sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))) ),
introduced(definition,[new_symbols(definition,[spl20_48])],[avatar_definition]) ).
fof(f949,plain,
( ~ subactivity_occurrence(sK18(sK16(sK19)),sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))
| spl20_48 ),
inference(avatar_component_clause,[],[f948]) ).
fof(f950,plain,
( spl20_47
| ~ spl20_48
| ~ spl20_29
| ~ spl20_33
| ~ spl20_34 ),
inference(avatar_split_clause,[],[f943,f702,f698,f637,f948,f945]) ).
fof(f952,plain,
( ~ min_precedes(sK16(sK19),sK18(sK16(sK19)),tptp0)
| spl20_48 ),
inference(resolution,[],[f949,f221]) ).
fof(f954,plain,
( $false
| ~ spl20_29
| spl20_48 ),
inference(forward_subsumption_resolution,[],[f952,f660]) ).
fof(f955,plain,
( ~ spl20_29
| spl20_48 ),
inference(avatar_contradiction_clause,[],[f954]) ).
fof(f965,plain,
( occurrence_of(sK18(sK16(sK19)),tptp2)
| occurrence_of(sK18(sK16(sK19)),tptp3)
| ~ occurrence_of(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))),tptp0)
| ~ spl20_47 ),
inference(superposition,[],[f260,f946]) ).
fof(f972,plain,
( occurrence_of(sK18(sK16(sK19)),tptp2)
| occurrence_of(sK18(sK16(sK19)),tptp3)
| ~ spl20_29
| ~ spl20_47 ),
inference(forward_subsumption_resolution,[],[f965,f665]) ).
fof(f1004,definition,
( spl20_53
<=> occurrence_of(sK18(sK16(sK19)),tptp3) ),
introduced(definition,[new_symbols(definition,[spl20_53])],[avatar_definition]) ).
fof(f1005,plain,
( occurrence_of(sK18(sK16(sK19)),tptp3)
| ~ spl20_53 ),
inference(avatar_component_clause,[],[f1004]) ).
fof(f1007,definition,
( spl20_54
<=> occurrence_of(sK18(sK16(sK19)),tptp2) ),
introduced(definition,[new_symbols(definition,[spl20_54])],[avatar_definition]) ).
fof(f1008,plain,
( occurrence_of(sK18(sK16(sK19)),tptp2)
| ~ spl20_54 ),
inference(avatar_component_clause,[],[f1007]) ).
fof(f1009,plain,
( spl20_53
| spl20_54
| ~ spl20_29
| ~ spl20_47 ),
inference(avatar_split_clause,[],[f972,f945,f637,f1007,f1004]) ).
fof(f1018,plain,
( tptp3 = tptp1
| ~ spl20_27
| ~ spl20_53 ),
inference(resolution,[],[f1005,f653]) ).
fof(f1026,plain,
( $false
| ~ spl20_27
| ~ spl20_53 ),
inference(forward_subsumption_resolution,[],[f1018,f272]) ).
fof(f1027,plain,
( ~ spl20_27
| ~ spl20_53 ),
inference(avatar_contradiction_clause,[],[f1026]) ).
fof(f1031,plain,
( tptp2 = tptp1
| ~ spl20_27
| ~ spl20_54 ),
inference(resolution,[],[f1008,f653]) ).
fof(f1039,plain,
( $false
| ~ spl20_27
| ~ spl20_54 ),
inference(forward_subsumption_resolution,[],[f1031,f273]) ).
fof(f1040,plain,
( ~ spl20_27
| ~ spl20_54 ),
inference(avatar_contradiction_clause,[],[f1039]) ).
cnf(s17,plain,
( spl20_20
| ~ spl20_21 ),
inference(sat_conversion,[],[f551]) ).
cnf(s26,plain,
spl20_21,
inference(sat_conversion,[],[f581]) ).
cnf(s30,plain,
( spl20_27
| spl20_28 ),
inference(sat_conversion,[],[f635]) ).
cnf(s31,plain,
( spl20_28
| spl20_29 ),
inference(sat_conversion,[],[f639]) ).
cnf(s35,plain,
( ~ spl20_20
| ~ spl20_28 ),
inference(sat_conversion,[],[f649]) ).
cnf(s37,plain,
( ~ spl20_29
| spl20_32
| spl20_33 ),
inference(sat_conversion,[],[f700]) ).
cnf(s38,plain,
( ~ spl20_29
| spl20_34
| ~ spl20_35 ),
inference(sat_conversion,[],[f707]) ).
cnf(s41,plain,
( ~ spl20_29
| spl20_35 ),
inference(sat_conversion,[],[f725]) ).
cnf(s42,plain,
( ~ spl20_32
| ~ spl20_34 ),
inference(sat_conversion,[],[f733]) ).
cnf(s60,plain,
( ~ spl20_29
| ~ spl20_33
| ~ spl20_34
| spl20_47
| ~ spl20_48 ),
inference(sat_conversion,[],[f950]) ).
cnf(s62,plain,
( ~ spl20_29
| spl20_48 ),
inference(sat_conversion,[],[f955]) ).
cnf(s69,plain,
( ~ spl20_29
| ~ spl20_47
| spl20_53
| spl20_54 ),
inference(sat_conversion,[],[f1009]) ).
cnf(s74,plain,
( ~ spl20_27
| ~ spl20_53 ),
inference(sat_conversion,[],[f1027]) ).
cnf(s78,plain,
( ~ spl20_27
| ~ spl20_54 ),
inference(sat_conversion,[],[f1040]) ).
cnf(s81,plain,
spl20_20,
inference(rat,[],[s17,s26]) ).
cnf(s82,plain,
~ spl20_28,
inference(rat,[],[s35,s81]) ).
cnf(s84,plain,
spl20_29,
inference(rat,[],[s31,s82]) ).
cnf(s85,plain,
spl20_27,
inference(rat,[],[s30,s82]) ).
cnf(s86,plain,
spl20_48,
inference(rat,[],[s62,s84]) ).
cnf(s88,plain,
spl20_35,
inference(rat,[],[s41,s84]) ).
cnf(s89,plain,
spl20_34,
inference(rat,[],[s38,s88,s84]) ).
cnf(s90,plain,
~ spl20_54,
inference(rat,[],[s78,s85]) ).
cnf(s91,plain,
~ spl20_53,
inference(rat,[],[s74,s85]) ).
cnf(s93,plain,
~ spl20_32,
inference(rat,[],[s42,s89]) ).
cnf(s94,plain,
~ spl20_47,
inference(rat,[],[s69,s90,s84,s91]) ).
cnf(s96,plain,
spl20_33,
inference(rat,[],[s37,s84,s93]) ).
cnf(s97,plain,
$false,
inference(rat,[],[s60,s86,s89,s84,s94,s96]) ).
fof(f1041,plain,
$false,
inference(avatar_sat_refutation,[],[s97]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PRO005+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n001.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 22:22:47 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
% 6.48/2.03 % (4023277)Detected formulas, will run a generic FOF schedule.
% 6.48/2.03 % (4023288)dis-21_1_sil=8000:lcm=predicate:random_seed=3032161024: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)
% 6.48/2.03 % (4023285)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=855233301:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.48/2.03 % (4023285)Refutation not found, incomplete strategy
% 6.48/2.03 % (4023285)------------------------------
% 6.48/2.03 % (4023285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/2.03 % (4023285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/2.03 % (4023285)CaDiCaL version: 2.1.3
% 6.48/2.03 % (4023285)Termination reason: Refutation not found, incomplete strategy
% 6.48/2.03 % (4023285)Time elapsed: 0.001 s
% 6.48/2.03 % (4023285)Peak memory usage: 86 MB
% 6.48/2.03 % (4023282)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=2416772686:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.48/2.03 % (4023284)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=3925261388:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.48/2.03 % (4023283)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=1240246533:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.48/2.03 % (4023288)Instruction limit reached!
% 6.48/2.03 % (4023288)------------------------------
% 6.48/2.03 % (4023288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/2.03 % (4023288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/2.03 % (4023288)CaDiCaL version: 2.1.3
% 6.48/2.03 % (4023288)Termination reason: Instruction limit
% 6.48/2.03 % (4023288)Termination phase: Saturation
% 6.48/2.03 % (4023288)Time elapsed: 0.042 s
% 6.48/2.03 % (4023288)Peak memory usage: 89 MB
% 6.48/2.03 % (4023288)Instructions burned: 132 (million)
% 6.48/2.03 % (4023286)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3339080171:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.48/2.03 % (4023287)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1887743162:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.48/2.03 % (4023286)Instruction limit reached!
% 6.48/2.03 % (4023286)------------------------------
% 6.48/2.03 % (4023286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/2.03 % (4023286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/2.03 % (4023286)CaDiCaL version: 2.1.3
% 6.48/2.03 % (4023286)Termination reason: Instruction limit
% 6.48/2.03 % (4023286)Termination phase: Saturation
% 6.48/2.03 % (4023286)Time elapsed: 0.063 s
% 6.48/2.03 % (4023286)Peak memory usage: 88 MB
% 6.48/2.03 % (4023286)Instructions burned: 119 (million)
% 6.48/2.03 % (4023294)lrs+10_1_sil=8000:sp=occurrence:random_seed=2866897326:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.48/2.03 % (4023287)Instruction limit reached!
% 6.48/2.03 % (4023287)------------------------------
% 6.48/2.03 % (4023287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/2.03 % (4023287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/2.03 % (4023287)CaDiCaL version: 2.1.3
% 6.48/2.03 % (4023287)Termination reason: Instruction limit
% 6.48/2.03 % (4023287)Termination phase: Saturation
% 6.48/2.03 % (4023287)Time elapsed: 0.097 s
% 6.48/2.03 % (4023287)Peak memory usage: 90 MB
% 6.48/2.03 % (4023287)Instructions burned: 139 (million)
% 6.48/2.03 % (4023294)Instruction limit reached!
% 6.48/2.03 % (4023294)------------------------------
% 6.48/2.03 % (4023294)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/2.03 % (4023294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/2.03 % (4023294)CaDiCaL version: 2.1.3
% 6.48/2.03 % (4023294)Termination reason: Instruction limit
% 6.48/2.03 % (4023294)Termination phase: Saturation
% 6.48/2.03 % (4023294)Time elapsed: 0.101 s
% 6.48/2.03 % (4023294)Peak memory usage: 91 MB
% 6.48/2.03 % (4023294)Instructions burned: 287 (million)
% 6.48/2.03 % (4023297)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2365203188:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.48/2.03 % (4023297)Refutation not found, incomplete strategy
% 6.48/2.03 % (4023297)------------------------------
% 6.48/2.03 % (4023297)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/2.03 % (4023297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/2.03 % (4023297)CaDiCaL version: 2.1.3
% 6.48/2.03 % (4023297)Termination reason: Refutation not found, incomplete strategy
% 6.48/2.03 % (4023297)Time elapsed: 0.001 s
% 6.48/2.03 % (4023297)Peak memory usage: 88 MB
% 6.48/2.03 % (4023285)------------------------------
% 6.48/2.03 % (4023285)------------------------------
% 6.48/2.03 % (4023299)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3906717159:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.48/2.03 % (4023300)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=2306241076:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.48/2.03 % (4023300)Instruction limit reached!
% 6.48/2.03 % (4023300)------------------------------
% 6.48/2.03 % (4023300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/2.03 % (4023300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/2.03 % (4023300)CaDiCaL version: 2.1.3
% 6.48/2.03 % (4023300)Termination reason: Instruction limit
% 6.48/2.03 % (4023300)Termination phase: Saturation
% 6.48/2.03 % (4023300)Time elapsed: 0.074 s
% 6.48/2.03 % (4023300)Peak memory usage: 90 MB
% 6.48/2.03 % (4023300)Instructions burned: 250 (million)
% 6.48/2.03 % (4023302)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2427358010:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.48/2.03 % (4023305)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3368516270:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.48/2.03 % (4023297)------------------------------
% 6.48/2.03 % (4023297)------------------------------
% 6.48/2.03 % (4023299)Instruction limit reached!
% 6.48/2.03 % (4023299)------------------------------
% 6.48/2.03 % (4023299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/2.03 % (4023299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/2.03 % (4023299)CaDiCaL version: 2.1.3
% 6.48/2.03 % (4023299)Termination reason: Instruction limit
% 6.48/2.03 % (4023299)Termination phase: Saturation
% 6.48/2.03 % (4023299)Time elapsed: 0.227 s
% 6.48/2.03 % (4023299)Peak memory usage: 91 MB
% 6.48/2.03 % (4023299)Instructions burned: 325 (million)
% 6.48/2.03 % (4023302)Instruction limit reached!
% 6.48/2.03 % (4023302)------------------------------
% 6.48/2.03 % (4023302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/2.03 % (4023302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/2.03 % (4023302)CaDiCaL version: 2.1.3
% 6.48/2.03 % (4023302)Termination reason: Instruction limit
% 6.48/2.03 % (4023302)Termination phase: Saturation
% 6.48/2.03 % (4023302)Time elapsed: 0.184 s
% 6.48/2.03 % (4023302)Peak memory usage: 89 MB
% 6.48/2.03 % (4023302)Instructions burned: 294 (million)
% 6.48/2.03 % (4023308)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2424855912:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.48/2.03 % (4023309)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3531939787:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.48/2.03 % (4023308)Instruction limit reached!
% 6.48/2.03 % (4023308)------------------------------
% 6.48/2.03 % (4023308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/2.03 % (4023308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/2.03 % (4023308)CaDiCaL version: 2.1.3
% 6.48/2.03 % (4023308)Termination reason: Instruction limit
% 6.48/2.03 % (4023308)Termination phase: Saturation
% 6.48/2.03 % (4023308)Time elapsed: 0.082 s
% 6.48/2.03 % (4023308)Peak memory usage: 90 MB
% 6.48/2.03 % (4023308)Instructions burned: 114 (million)
% 6.48/2.03 % (4023310)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=590222770:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.48/2.03 % (4023310)Refutation not found, incomplete strategy
% 6.48/2.03 % (4023310)------------------------------
% 6.48/2.03 % (4023310)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/2.03 % (4023310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/2.03 % (4023310)CaDiCaL version: 2.1.3
% 6.48/2.03 % (4023310)Termination reason: Refutation not found, incomplete strategy
% 6.48/2.03 % (4023310)Time elapsed: 0.001 s
% 6.48/2.03 % (4023310)Peak memory usage: 87 MB
% 6.48/2.03 % (4023309)Instruction limit reached!
% 6.48/2.03 % (4023309)------------------------------
% 6.48/2.03 % (4023309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/2.03 % (4023309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/2.03 % (4023309)CaDiCaL version: 2.1.3
% 6.48/2.03 % (4023309)Termination reason: Instruction limit
% 6.48/2.03 % (4023309)Termination phase: Saturation
% 6.48/2.03 % (4023309)Time elapsed: 0.069 s
% 6.48/2.03 % (4023309)Peak memory usage: 89 MB
% 6.48/2.03 % (4023309)Instructions burned: 128 (million)
% 6.48/2.03 % (4023283)First to succeed.
% 6.48/2.03 % (4023283)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4023277"
% 6.48/2.03 % (4023313)lrs+10_1_sil=8000:sp=occurrence:random_seed=154074375:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.48/2.03 % (4023315)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=277835143:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.48/2.03 % (4023315)Refutation not found, incomplete strategy
% 6.48/2.03 % (4023315)------------------------------
% 6.48/2.03 % (4023315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/2.03 % (4023315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/2.03 % (4023315)CaDiCaL version: 2.1.3
% 6.48/2.03 % (4023315)Termination reason: Refutation not found, incomplete strategy
% 6.48/2.03 % (4023315)Time elapsed: 0.005 s
% 6.48/2.03 % (4023315)Peak memory usage: 88 MB
% 6.48/2.03 % (4023315)Instructions burned: 6 (million)
% 6.48/2.03 % (4023282)Also succeeded, but the first one will report.
% 6.48/2.03 % (4023310)------------------------------
% 6.48/2.03 % (4023310)------------------------------
% 6.48/2.03 % (4023305)Also succeeded, but the first one will report.
% 6.48/2.03 % (4023283)Refutation found. Thanks to Tanya!
% 6.48/2.03 % SZS status Theorem for theBenchmark
% 6.48/2.03 % SZS output start Proof for theBenchmark
% See solution above
% 8.81/2.22 % (4023283)------------------------------
% 8.81/2.22 % (4023283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.81/2.22 % (4023283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.81/2.22 % (4023283)CaDiCaL version: 2.1.3
% 8.81/2.22 % (4023283)Termination reason: Refutation
% 8.81/2.22 % (4023283)Time elapsed: 0.753 s
% 8.81/2.22 % (4023283)Peak memory usage: 130 MB
% 8.81/2.22 % (4023283)Instructions burned: 1096 (million)
% 8.81/2.22 % (4023283)------------------------------
% 8.81/2.22 % (4023283)------------------------------
% 8.81/2.22 % (4023277)Success in time 1.159 s
% 8.81/2.22 % Vampire exiting
%------------------------------------------------------------------------------