%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PRO017+1 : 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 12:30:28 PM UTC 2026
% Result : Theorem 6.89s 1.76s
% Output : Refutation 8.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 24
% Syntax : Number of formulae : 164 ( 24 unt; 14 def)
% Number of atoms : 593 ( 34 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 711 ( 282 ~; 297 |; 104 &)
% ( 21 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 15 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-3 aty)
% Number of variables : 201 ( 0 sgn 166 !; 35 ?)
% 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(f8,axiom,
! [X0,X1] :
( occurrence_of(X0,X1)
=> ( arboreal(X0)
<=> atomic(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).
fof(f22,axiom,
! [X0,X1] :
( leaf(X0,X1)
<=> ( ( root(X0,X1)
| ? [X2] : min_precedes(X2,X0,X1) )
& ~ ? [X3] : min_precedes(X0,X3,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_21) ).
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(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] :
( ( occurrence_of(X1,tptp0)
& subactivity_occurrence(X0,X1)
& arboreal(X0)
& ~ leaf_occ(X0,X1) )
=> ? [X2,X3,X4] :
( occurrence_of(X2,tptp3)
& next_subocc(X0,X2,tptp0)
& occurrence_of(X3,tptp4)
& min_precedes(X2,X3,tptp0)
& ( occurrence_of(X4,tptp2)
| occurrence_of(X4,tptp1) )
& min_precedes(X3,X4,tptp0)
& ! [X5] :
( min_precedes(X2,X5,tptp0)
=> ( X5 = X3
| X5 = X4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_35) ).
fof(f42,axiom,
atomic(tptp3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_41) ).
fof(f43,axiom,
tptp4 != tptp3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_42) ).
fof(f49,conjecture,
! [X0,X1] :
( ( occurrence_of(X1,tptp0)
& subactivity_occurrence(X0,X1)
& arboreal(X0)
& ~ leaf_occ(X0,X1) )
=> ? [X2,X3] :
( occurrence_of(X2,tptp3)
& next_subocc(X0,X2,tptp0)
& ( occurrence_of(X3,tptp2)
| occurrence_of(X3,tptp1) )
& min_precedes(X2,X3,tptp0)
& leaf(X3,tptp0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f50,negated_conjecture,
~ ! [X0,X1] :
( ( occurrence_of(X1,tptp0)
& subactivity_occurrence(X0,X1)
& arboreal(X0)
& ~ leaf_occ(X0,X1) )
=> ? [X2,X3] :
( occurrence_of(X2,tptp3)
& next_subocc(X0,X2,tptp0)
& ( occurrence_of(X3,tptp2)
| occurrence_of(X3,tptp1) )
& min_precedes(X2,X3,tptp0)
& leaf(X3,tptp0) ) ),
inference(negated_conjecture,[status(cth)],[f49]) ).
fof(f53,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X1)
| ~ occurrence_of(X0,X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f54,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X1)
| ~ occurrence_of(X0,X2) ),
inference(flattening,[],[f53]) ).
fof(f61,plain,
! [X0,X1] :
( ( arboreal(X0)
<=> atomic(X1) )
| ~ occurrence_of(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f78,plain,
! [X0,X1] :
( leaf(X0,X1)
<=> ( ( root(X0,X1)
| ? [X2] : min_precedes(X2,X0,X1) )
& ! [X3] : ~ min_precedes(X0,X3,X1) ) ),
inference(ennf_transformation,[],[f22]) ).
fof(f79,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(f81,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(f96,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( occurrence_of(X2,tptp3)
& next_subocc(X0,X2,tptp0)
& occurrence_of(X3,tptp4)
& min_precedes(X2,X3,tptp0)
& ( occurrence_of(X4,tptp2)
| occurrence_of(X4,tptp1) )
& min_precedes(X3,X4,tptp0)
& ! [X5] :
( X5 = X3
| X5 = X4
| ~ min_precedes(X2,X5,tptp0) ) )
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f97,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( occurrence_of(X2,tptp3)
& next_subocc(X0,X2,tptp0)
& occurrence_of(X3,tptp4)
& min_precedes(X2,X3,tptp0)
& ( occurrence_of(X4,tptp2)
| occurrence_of(X4,tptp1) )
& min_precedes(X3,X4,tptp0)
& ! [X5] :
( X5 = X3
| X5 = X4
| ~ min_precedes(X2,X5,tptp0) ) )
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(flattening,[],[f96]) ).
fof(f98,plain,
? [X0,X1] :
( ! [X2,X3] :
( ~ occurrence_of(X2,tptp3)
| ~ next_subocc(X0,X2,tptp0)
| ( ~ occurrence_of(X3,tptp2)
& ~ occurrence_of(X3,tptp1) )
| ~ min_precedes(X2,X3,tptp0)
| ~ leaf(X3,tptp0) )
& occurrence_of(X1,tptp0)
& subactivity_occurrence(X0,X1)
& arboreal(X0)
& ~ leaf_occ(X0,X1) ),
inference(ennf_transformation,[],[f50]) ).
fof(f99,plain,
? [X0,X1] :
( ! [X2,X3] :
( ~ occurrence_of(X2,tptp3)
| ~ next_subocc(X0,X2,tptp0)
| ( ~ occurrence_of(X3,tptp2)
& ~ occurrence_of(X3,tptp1) )
| ~ min_precedes(X2,X3,tptp0)
| ~ leaf(X3,tptp0) )
& occurrence_of(X1,tptp0)
& subactivity_occurrence(X0,X1)
& arboreal(X0)
& ~ leaf_occ(X0,X1) ),
inference(flattening,[],[f98]) ).
fof(f101,plain,
! [X0,X1] :
( ( ( arboreal(X0)
| ~ atomic(X1) )
& ( atomic(X1)
| ~ arboreal(X0) ) )
| ~ occurrence_of(X0,X1) ),
inference(nnf_transformation,[],[f61]) ).
fof(f107,plain,
! [X0,X1] :
( ( leaf(X0,X1)
| ( ~ root(X0,X1)
& ! [X2] : ~ min_precedes(X2,X0,X1) )
| ? [X3] : min_precedes(X0,X3,X1) )
& ( ( ( root(X0,X1)
| ? [X2] : min_precedes(X2,X0,X1) )
& ! [X3] : ~ min_precedes(X0,X3,X1) )
| ~ leaf(X0,X1) ) ),
inference(nnf_transformation,[],[f78]) ).
fof(f108,plain,
! [X0,X1] :
( ( leaf(X0,X1)
| ( ~ root(X0,X1)
& ! [X2] : ~ min_precedes(X2,X0,X1) )
| ? [X3] : min_precedes(X0,X3,X1) )
& ( ( ( root(X0,X1)
| ? [X2] : min_precedes(X2,X0,X1) )
& ! [X3] : ~ min_precedes(X0,X3,X1) )
| ~ leaf(X0,X1) ) ),
inference(flattening,[],[f107]) ).
fof(f109,plain,
! [X0,X1] :
( ( leaf(X0,X1)
| ( ~ root(X0,X1)
& ! [X2] : ~ min_precedes(X2,X0,X1) )
| ? [X3] : min_precedes(X0,X3,X1) )
& ( ( ( root(X0,X1)
| ? [X4] : min_precedes(X4,X0,X1) )
& ! [X5] : ~ min_precedes(X0,X5,X1) )
| ~ leaf(X0,X1) ) ),
inference(rectify,[],[f108]) ).
fof(f110,plain,
! [X0,X1] :
( ( leaf(X0,X1)
| ( ~ root(X0,X1)
& ! [X2] : ~ min_precedes(X2,X0,X1) )
| min_precedes(X0,sK5(X0,X1),X1) )
& ( ( ( root(X0,X1)
| min_precedes(sK6(X0,X1),X0,X1) )
& ! [X5] : ~ min_precedes(X0,X5,X1) )
| ~ leaf(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6]),skolemize(X3,sK5(X0,X1)),skolemize(X4,sK6(X0,X1))],[f109]) ).
fof(f111,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,[],[f79]) ).
fof(f112,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,[],[f111]) ).
fof(f113,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,[],[f112]) ).
fof(f114,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))],[f113]) ).
fof(f118,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))],[f81]) ).
fof(f125,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(f126,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,[],[f125]) ).
fof(f127,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))],[f126]) ).
fof(f128,plain,
! [X0,X1] :
( ( occurrence_of(sK15(X0),tptp3)
& next_subocc(X0,sK15(X0),tptp0)
& occurrence_of(sK16(X0),tptp4)
& min_precedes(sK15(X0),sK16(X0),tptp0)
& ( occurrence_of(sK17(X0),tptp2)
| occurrence_of(sK17(X0),tptp1) )
& min_precedes(sK16(X0),sK17(X0),tptp0)
& ! [X5] :
( sK16(X0) = X5
| sK17(X0) = X5
| ~ min_precedes(sK15(X0),X5,tptp0) ) )
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15,sK16,sK17]),skolemize(X2,sK15(X0)),skolemize(X3,sK16(X0)),skolemize(X4,sK17(X0))],[f97]) ).
fof(f129,plain,
( ! [X2,X3] :
( ~ occurrence_of(X2,tptp3)
| ~ next_subocc(sK18,X2,tptp0)
| ( ~ occurrence_of(X3,tptp2)
& ~ occurrence_of(X3,tptp1) )
| ~ min_precedes(X2,X3,tptp0)
| ~ leaf(X3,tptp0) )
& occurrence_of(sK19,tptp0)
& subactivity_occurrence(sK18,sK19)
& arboreal(sK18)
& ~ leaf_occ(sK18,sK19) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18,sK19]),skolemize(X0,sK18),skolemize(X1,sK19)],[f99]) ).
fof(f134,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f54]) ).
fof(f140,plain,
! [X0,X1] :
( ~ atomic(X1)
| arboreal(X0)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f161,plain,
! [X0,X1,X5] :
( ~ leaf(X0,X1)
| ~ min_precedes(X0,X5,X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f165,plain,
! [X2,X0,X1,X4] :
( ~ next_subocc(X0,X1,X2)
| ~ min_precedes(X4,X1,X2)
| ~ min_precedes(X0,X4,X2) ),
inference(cnf_transformation,[],[f114]) ).
fof(f166,plain,
! [X2,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f114]) ).
fof(f176,plain,
! [X2,X0,X1] :
( subactivity_occurrence(X1,sK9(X0,X1,X2))
| ~ min_precedes(X1,X2,X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f177,plain,
! [X2,X0,X1] :
( occurrence_of(sK9(X0,X1,X2),X0)
| ~ min_precedes(X1,X2,X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f192,plain,
! [X0,X1] :
( ~ leaf_occ(X0,X1)
| leaf(X0,sK14(X0,X1)) ),
inference(cnf_transformation,[],[f127]) ).
fof(f194,plain,
! [X0,X1] :
( ~ leaf_occ(X0,X1)
| occurrence_of(X1,sK14(X0,X1)) ),
inference(cnf_transformation,[],[f127]) ).
fof(f196,plain,
! [X0,X1,X5] :
( ~ arboreal(X0)
| sK17(X0) = X5
| ~ min_precedes(sK15(X0),X5,tptp0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| sK16(X0) = X5
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f128]) ).
fof(f197,plain,
! [X0,X1] :
( ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| min_precedes(sK16(X0),sK17(X0),tptp0)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f128]) ).
fof(f199,plain,
! [X0,X1] :
( ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| min_precedes(sK15(X0),sK16(X0),tptp0)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f128]) ).
fof(f200,plain,
! [X0,X1] :
( ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| occurrence_of(sK16(X0),tptp4)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f128]) ).
fof(f201,plain,
! [X0,X1] :
( ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| next_subocc(X0,sK15(X0),tptp0)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f128]) ).
fof(f202,plain,
! [X0,X1] :
( ~ arboreal(X0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| occurrence_of(sK15(X0),tptp3)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f128]) ).
fof(f208,plain,
atomic(tptp3),
inference(cnf_transformation,[],[f42]) ).
fof(f209,plain,
tptp3 != tptp4,
inference(cnf_transformation,[],[f43]) ).
fof(f215,plain,
~ leaf_occ(sK18,sK19),
inference(cnf_transformation,[],[f129]) ).
fof(f216,plain,
arboreal(sK18),
inference(cnf_transformation,[],[f129]) ).
fof(f217,plain,
subactivity_occurrence(sK18,sK19),
inference(cnf_transformation,[],[f129]) ).
fof(f218,plain,
occurrence_of(sK19,tptp0),
inference(cnf_transformation,[],[f129]) ).
fof(f221,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK18,X0)
| occurrence_of(sK16(sK18),tptp4)
| leaf_occ(sK18,X0) ),
inference(resolution,[],[f216,f200]) ).
fof(f222,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK18,X0)
| occurrence_of(sK15(sK18),tptp3)
| leaf_occ(sK18,X0) ),
inference(resolution,[],[f216,f202]) ).
fof(f223,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK18,X0)
| min_precedes(sK16(sK18),sK17(sK18),tptp0)
| leaf_occ(sK18,X0) ),
inference(resolution,[],[f216,f197]) ).
fof(f224,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK18,X0)
| min_precedes(sK15(sK18),sK16(sK18),tptp0)
| leaf_occ(sK18,X0) ),
inference(resolution,[],[f216,f199]) ).
fof(f230,definition,
( spl20_2
<=> ! [X0] :
( ~ occurrence_of(X0,tptp0)
| leaf_occ(sK18,X0)
| ~ subactivity_occurrence(sK18,X0) ) ),
introduced(definition,[new_symbols(definition,[spl20_2])],[avatar_definition]) ).
fof(f231,plain,
( ! [X0] :
( leaf_occ(sK18,X0)
| ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK18,X0) )
| ~ spl20_2 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f234,definition,
( spl20_3
<=> min_precedes(sK15(sK18),sK16(sK18),tptp0) ),
introduced(definition,[new_symbols(definition,[spl20_3])],[avatar_definition]) ).
fof(f235,plain,
( min_precedes(sK15(sK18),sK16(sK18),tptp0)
| ~ spl20_3 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f236,plain,
( spl20_3
| spl20_2 ),
inference(avatar_split_clause,[],[f224,f230,f234]) ).
fof(f238,definition,
( spl20_4
<=> min_precedes(sK16(sK18),sK17(sK18),tptp0) ),
introduced(definition,[new_symbols(definition,[spl20_4])],[avatar_definition]) ).
fof(f239,plain,
( min_precedes(sK16(sK18),sK17(sK18),tptp0)
| ~ spl20_4 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f240,plain,
( spl20_4
| spl20_2 ),
inference(avatar_split_clause,[],[f223,f230,f238]) ).
fof(f242,definition,
( spl20_5
<=> occurrence_of(sK15(sK18),tptp3) ),
introduced(definition,[new_symbols(definition,[spl20_5])],[avatar_definition]) ).
fof(f243,plain,
( occurrence_of(sK15(sK18),tptp3)
| ~ spl20_5 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f244,plain,
( spl20_5
| spl20_2 ),
inference(avatar_split_clause,[],[f222,f230,f242]) ).
fof(f246,definition,
( spl20_6
<=> occurrence_of(sK16(sK18),tptp4) ),
introduced(definition,[new_symbols(definition,[spl20_6])],[avatar_definition]) ).
fof(f247,plain,
( occurrence_of(sK16(sK18),tptp4)
| ~ spl20_6 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f248,plain,
( spl20_6
| spl20_2 ),
inference(avatar_split_clause,[],[f221,f230,f246]) ).
fof(f250,plain,
( ~ occurrence_of(sK19,tptp0)
| ~ subactivity_occurrence(sK18,sK19)
| ~ spl20_2 ),
inference(resolution,[],[f231,f215]) ).
fof(f252,plain,
( ~ subactivity_occurrence(sK18,sK19)
| ~ spl20_2 ),
inference(forward_subsumption_resolution,[],[f250,f218]) ).
fof(f253,plain,
( $false
| ~ spl20_2 ),
inference(forward_subsumption_resolution,[],[f252,f217]) ).
fof(f254,plain,
~ spl20_2,
inference(avatar_contradiction_clause,[],[f253]) ).
fof(f255,plain,
! [X0,X1] :
( sK17(sK18) = X0
| ~ min_precedes(sK15(sK18),X0,tptp0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(sK18,X1)
| sK16(sK18) = X0
| leaf_occ(sK18,X1) ),
inference(resolution,[],[f196,f216]) ).
fof(f257,definition,
( spl20_7
<=> ! [X0] :
( sK17(sK18) = X0
| sK16(sK18) = X0
| ~ min_precedes(sK15(sK18),X0,tptp0) ) ),
introduced(definition,[new_symbols(definition,[spl20_7])],[avatar_definition]) ).
fof(f258,plain,
( ! [X0] :
( ~ min_precedes(sK15(sK18),X0,tptp0)
| sK16(sK18) = X0
| sK17(sK18) = X0 )
| ~ spl20_7 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f259,plain,
( spl20_2
| spl20_7 ),
inference(avatar_split_clause,[],[f255,f257,f230]) ).
fof(f283,plain,
! [X0] :
( ~ occurrence_of(X0,tptp3)
| arboreal(X0) ),
inference(resolution,[],[f140,f208]) ).
fof(f293,plain,
! [X2,X3,X0,X1] :
( ~ occurrence_of(sK9(X2,X0,X1),X3)
| ~ min_precedes(X0,X1,X2)
| X2 = X3 ),
inference(resolution,[],[f177,f134]) ).
fof(f335,definition,
( spl20_11
<=> leaf(sK15(sK18),tptp0) ),
introduced(definition,[new_symbols(definition,[spl20_11])],[avatar_definition]) ).
fof(f336,plain,
( leaf(sK15(sK18),tptp0)
| ~ spl20_11 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f368,plain,
( $false
| ~ spl20_3
| ~ spl20_11 ),
inference(unit_resulting_resolution,[],[f161,f235,f336]) ).
fof(f373,plain,
( ~ spl20_3
| ~ spl20_11 ),
inference(avatar_contradiction_clause,[],[f368]) ).
fof(f491,plain,
( arboreal(sK15(sK18))
| ~ spl20_5 ),
inference(resolution,[],[f283,f243]) ).
fof(f499,plain,
( ! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK15(sK18),X0)
| next_subocc(sK15(sK18),sK15(sK15(sK18)),tptp0)
| leaf_occ(sK15(sK18),X0) )
| ~ spl20_5 ),
inference(resolution,[],[f491,f201]) ).
fof(f500,plain,
( ! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK15(sK18),X0)
| occurrence_of(sK15(sK15(sK18)),tptp3)
| leaf_occ(sK15(sK18),X0) )
| ~ spl20_5 ),
inference(resolution,[],[f491,f202]) ).
fof(f502,definition,
( spl20_30
<=> occurrence_of(sK15(sK15(sK18)),tptp3) ),
introduced(definition,[new_symbols(definition,[spl20_30])],[avatar_definition]) ).
fof(f503,plain,
( occurrence_of(sK15(sK15(sK18)),tptp3)
| ~ spl20_30 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f505,definition,
( spl20_31
<=> ! [X0] :
( ~ occurrence_of(X0,tptp0)
| leaf_occ(sK15(sK18),X0)
| ~ subactivity_occurrence(sK15(sK18),X0) ) ),
introduced(definition,[new_symbols(definition,[spl20_31])],[avatar_definition]) ).
fof(f506,plain,
( ! [X0] :
( leaf_occ(sK15(sK18),X0)
| ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK15(sK18),X0) )
| ~ spl20_31 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f507,plain,
( spl20_30
| spl20_31
| ~ spl20_5 ),
inference(avatar_split_clause,[],[f500,f242,f505,f502]) ).
fof(f509,definition,
( spl20_32
<=> next_subocc(sK15(sK18),sK15(sK15(sK18)),tptp0) ),
introduced(definition,[new_symbols(definition,[spl20_32])],[avatar_definition]) ).
fof(f510,plain,
( next_subocc(sK15(sK18),sK15(sK15(sK18)),tptp0)
| ~ spl20_32 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f511,plain,
( spl20_32
| spl20_31
| ~ spl20_5 ),
inference(avatar_split_clause,[],[f499,f242,f505,f509]) ).
fof(f535,plain,
( ! [X0] :
( ~ subactivity_occurrence(sK15(sK18),X0)
| ~ occurrence_of(X0,tptp0)
| occurrence_of(X0,sK14(sK15(sK18),X0)) )
| ~ spl20_31 ),
inference(resolution,[],[f506,f194]) ).
fof(f536,plain,
( ! [X0] :
( leaf(sK15(sK18),sK14(sK15(sK18),X0))
| ~ subactivity_occurrence(sK15(sK18),X0)
| ~ occurrence_of(X0,tptp0) )
| ~ spl20_31 ),
inference(resolution,[],[f506,f192]) ).
fof(f538,plain,
( ! [X0,X1] :
( ~ occurrence_of(sK9(X0,sK15(sK18),X1),tptp0)
| occurrence_of(sK9(X0,sK15(sK18),X1),sK14(sK15(sK18),sK9(X0,sK15(sK18),X1)))
| ~ min_precedes(sK15(sK18),X1,X0) )
| ~ spl20_31 ),
inference(resolution,[],[f535,f176]) ).
fof(f547,plain,
( ! [X0] :
( occurrence_of(sK9(tptp0,sK15(sK18),X0),sK14(sK15(sK18),sK9(tptp0,sK15(sK18),X0)))
| ~ min_precedes(sK15(sK18),X0,tptp0)
| ~ min_precedes(sK15(sK18),X0,tptp0) )
| ~ spl20_31 ),
inference(resolution,[],[f538,f177]) ).
fof(f548,plain,
( ! [X0] :
( ~ min_precedes(sK15(sK18),X0,tptp0)
| occurrence_of(sK9(tptp0,sK15(sK18),X0),sK14(sK15(sK18),sK9(tptp0,sK15(sK18),X0))) )
| ~ spl20_31 ),
inference(duplicate_literal_removal,[],[f547]) ).
fof(f549,plain,
( occurrence_of(sK9(tptp0,sK15(sK18),sK16(sK18)),sK14(sK15(sK18),sK9(tptp0,sK15(sK18),sK16(sK18))))
| ~ spl20_3
| ~ spl20_31 ),
inference(resolution,[],[f548,f235]) ).
fof(f603,plain,
( ~ min_precedes(sK15(sK18),sK16(sK18),tptp0)
| tptp0 = sK14(sK15(sK18),sK9(tptp0,sK15(sK18),sK16(sK18)))
| ~ spl20_3
| ~ spl20_31 ),
inference(resolution,[],[f293,f549]) ).
fof(f605,plain,
( tptp0 = sK14(sK15(sK18),sK9(tptp0,sK15(sK18),sK16(sK18)))
| ~ spl20_3
| ~ spl20_31 ),
inference(forward_subsumption_resolution,[],[f603,f235]) ).
fof(f606,plain,
( occurrence_of(sK9(tptp0,sK15(sK18),sK16(sK18)),tptp0)
| ~ spl20_3
| ~ spl20_31 ),
inference(superposition,[],[f549,f605]) ).
fof(f608,plain,
( leaf(sK15(sK18),tptp0)
| ~ subactivity_occurrence(sK15(sK18),sK9(tptp0,sK15(sK18),sK16(sK18)))
| ~ occurrence_of(sK9(tptp0,sK15(sK18),sK16(sK18)),tptp0)
| ~ spl20_3
| ~ spl20_31 ),
inference(superposition,[],[f536,f605]) ).
fof(f610,definition,
( spl20_41
<=> occurrence_of(sK9(tptp0,sK15(sK18),sK16(sK18)),tptp0) ),
introduced(definition,[new_symbols(definition,[spl20_41])],[avatar_definition]) ).
fof(f611,plain,
( ~ occurrence_of(sK9(tptp0,sK15(sK18),sK16(sK18)),tptp0)
| spl20_41 ),
inference(avatar_component_clause,[],[f610]) ).
fof(f613,definition,
( spl20_42
<=> subactivity_occurrence(sK15(sK18),sK9(tptp0,sK15(sK18),sK16(sK18))) ),
introduced(definition,[new_symbols(definition,[spl20_42])],[avatar_definition]) ).
fof(f614,plain,
( ~ subactivity_occurrence(sK15(sK18),sK9(tptp0,sK15(sK18),sK16(sK18)))
| spl20_42 ),
inference(avatar_component_clause,[],[f613]) ).
fof(f615,plain,
( ~ spl20_41
| ~ spl20_42
| spl20_11
| ~ spl20_3
| ~ spl20_31 ),
inference(avatar_split_clause,[],[f608,f505,f234,f335,f613,f610]) ).
fof(f616,plain,
( $false
| ~ spl20_3
| ~ spl20_31
| spl20_41 ),
inference(forward_subsumption_resolution,[],[f611,f606]) ).
fof(f617,plain,
( ~ spl20_3
| ~ spl20_31
| spl20_41 ),
inference(avatar_contradiction_clause,[],[f616]) ).
fof(f619,plain,
( min_precedes(sK15(sK18),sK15(sK15(sK18)),tptp0)
| ~ spl20_32 ),
inference(resolution,[],[f510,f166]) ).
fof(f620,plain,
( sK16(sK18) = sK15(sK15(sK18))
| sK17(sK18) = sK15(sK15(sK18))
| ~ spl20_7
| ~ spl20_32 ),
inference(resolution,[],[f619,f258]) ).
fof(f633,definition,
( spl20_45
<=> sK17(sK18) = sK15(sK15(sK18)) ),
introduced(definition,[new_symbols(definition,[spl20_45])],[avatar_definition]) ).
fof(f634,plain,
( sK17(sK18) = sK15(sK15(sK18))
| ~ spl20_45 ),
inference(avatar_component_clause,[],[f633]) ).
fof(f636,definition,
( spl20_46
<=> sK16(sK18) = sK15(sK15(sK18)) ),
introduced(definition,[new_symbols(definition,[spl20_46])],[avatar_definition]) ).
fof(f637,plain,
( sK16(sK18) = sK15(sK15(sK18))
| ~ spl20_46 ),
inference(avatar_component_clause,[],[f636]) ).
fof(f643,plain,
( ! [X0] :
( ~ occurrence_of(sK15(sK15(sK18)),X0)
| tptp3 = X0 )
| ~ spl20_30 ),
inference(resolution,[],[f503,f134]) ).
fof(f688,plain,
( ~ min_precedes(sK15(sK18),sK16(sK18),tptp0)
| spl20_42 ),
inference(resolution,[],[f614,f176]) ).
fof(f690,plain,
( $false
| ~ spl20_3
| spl20_42 ),
inference(forward_subsumption_resolution,[],[f688,f235]) ).
fof(f691,plain,
( ~ spl20_3
| spl20_42 ),
inference(avatar_contradiction_clause,[],[f690]) ).
fof(f692,plain,
( spl20_45
| spl20_46
| ~ spl20_7
| ~ spl20_32 ),
inference(avatar_split_clause,[],[f620,f509,f257,f636,f633]) ).
fof(f698,plain,
( next_subocc(sK15(sK18),sK17(sK18),tptp0)
| ~ spl20_32
| ~ spl20_45 ),
inference(superposition,[],[f510,f634]) ).
fof(f707,plain,
( $false
| ~ spl20_3
| ~ spl20_4
| ~ spl20_32
| ~ spl20_45 ),
inference(unit_resulting_resolution,[],[f165,f235,f239,f698]) ).
fof(f710,plain,
( ~ spl20_3
| ~ spl20_4
| ~ spl20_32
| ~ spl20_45 ),
inference(avatar_contradiction_clause,[],[f707]) ).
fof(f715,plain,
( ! [X0] :
( ~ occurrence_of(sK16(sK18),X0)
| tptp3 = X0 )
| ~ spl20_30
| ~ spl20_46 ),
inference(superposition,[],[f643,f637]) ).
fof(f757,plain,
( tptp3 = tptp4
| ~ spl20_6
| ~ spl20_30
| ~ spl20_46 ),
inference(resolution,[],[f715,f247]) ).
fof(f759,plain,
( $false
| ~ spl20_6
| ~ spl20_30
| ~ spl20_46 ),
inference(forward_subsumption_resolution,[],[f757,f209]) ).
fof(f760,plain,
( ~ spl20_6
| ~ spl20_30
| ~ spl20_46 ),
inference(avatar_contradiction_clause,[],[f759]) ).
cnf(s2,plain,
( spl20_2
| spl20_3 ),
inference(sat_conversion,[],[f236]) ).
cnf(s3,plain,
( spl20_2
| spl20_4 ),
inference(sat_conversion,[],[f240]) ).
cnf(s4,plain,
( spl20_2
| spl20_5 ),
inference(sat_conversion,[],[f244]) ).
cnf(s5,plain,
( spl20_2
| spl20_6 ),
inference(sat_conversion,[],[f248]) ).
cnf(s7,plain,
~ spl20_2,
inference(sat_conversion,[],[f254]) ).
cnf(s8,plain,
( spl20_2
| spl20_7 ),
inference(sat_conversion,[],[f259]) ).
cnf(s15,plain,
( ~ spl20_3
| ~ spl20_11 ),
inference(sat_conversion,[],[f373]) ).
cnf(s23,plain,
( ~ spl20_5
| spl20_30
| spl20_31 ),
inference(sat_conversion,[],[f507]) ).
cnf(s24,plain,
( ~ spl20_5
| spl20_31
| spl20_32 ),
inference(sat_conversion,[],[f511]) ).
cnf(s33,plain,
( ~ spl20_3
| spl20_11
| ~ spl20_31
| ~ spl20_41
| ~ spl20_42 ),
inference(sat_conversion,[],[f615]) ).
cnf(s34,plain,
( ~ spl20_3
| ~ spl20_31
| spl20_41 ),
inference(sat_conversion,[],[f617]) ).
cnf(s40,plain,
( ~ spl20_3
| spl20_42 ),
inference(sat_conversion,[],[f691]) ).
cnf(s41,plain,
( ~ spl20_7
| ~ spl20_32
| spl20_45
| spl20_46 ),
inference(sat_conversion,[],[f692]) ).
cnf(s42,plain,
( ~ spl20_3
| ~ spl20_4
| ~ spl20_32
| ~ spl20_45 ),
inference(sat_conversion,[],[f710]) ).
cnf(s47,plain,
( ~ spl20_6
| ~ spl20_30
| ~ spl20_46 ),
inference(sat_conversion,[],[f760]) ).
cnf(s48,plain,
spl20_7,
inference(rat,[],[s8,s7]) ).
cnf(s49,plain,
spl20_6,
inference(rat,[],[s5,s7]) ).
cnf(s50,plain,
spl20_5,
inference(rat,[],[s4,s7]) ).
cnf(s51,plain,
spl20_4,
inference(rat,[],[s3,s7]) ).
cnf(s53,plain,
spl20_3,
inference(rat,[],[s2,s7]) ).
cnf(s54,plain,
spl20_42,
inference(rat,[],[s40,s53]) ).
cnf(s55,plain,
~ spl20_11,
inference(rat,[],[s15,s53]) ).
cnf(s61,plain,
~ spl20_31,
inference(rat,[],[s33,s34,s53,s55,s54]) ).
cnf(s66,plain,
spl20_32,
inference(rat,[],[s24,s50,s61]) ).
cnf(s67,plain,
spl20_30,
inference(rat,[],[s23,s50,s61]) ).
cnf(s70,plain,
~ spl20_45,
inference(rat,[],[s42,s53,s51,s66]) ).
cnf(s71,plain,
~ spl20_46,
inference(rat,[],[s47,s49,s67]) ).
cnf(s72,plain,
$false,
inference(rat,[],[s41,s66,s48,s71,s70]) ).
fof(f761,plain,
$false,
inference(avatar_sat_refutation,[],[s72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PRO017+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n001.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 22:28:16 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 6.89/1.76 % (4024528)Detected formulas, will run a generic FOF schedule.
% 6.89/1.76 % (4024535)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=1348061928:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.89/1.76 % (4024536)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1743221074:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.89/1.76 % (4024533)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=2251937582:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.89/1.76 % (4024534)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=2357163996:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.89/1.76 % (4024539)dis-21_1_sil=8000:lcm=predicate:random_seed=2915843326: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)
% 6.89/1.76 % (4024537)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2944656327:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.89/1.76 % (4024538)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1988227227:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.89/1.76 % (4024536)Refutation not found, incomplete strategy
% 6.89/1.76 % (4024536)------------------------------
% 6.89/1.76 % (4024536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.89/1.76 % (4024536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/1.76 % (4024536)CaDiCaL version: 2.1.3
% 6.89/1.76 % (4024536)Termination reason: Refutation not found, incomplete strategy
% 6.89/1.76 % (4024536)Time elapsed: 0.004 s
% 6.89/1.76 % (4024536)Peak memory usage: 88 MB
% 6.89/1.76 % (4024536)Instructions burned: 4 (million)
% 6.89/1.76 % (4024537)Instruction limit reached!
% 6.89/1.76 % (4024537)------------------------------
% 6.89/1.76 % (4024537)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.89/1.76 % (4024537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/1.76 % (4024537)CaDiCaL version: 2.1.3
% 6.89/1.76 % (4024537)Termination reason: Instruction limit
% 6.89/1.76 % (4024537)Termination phase: Saturation
% 6.89/1.76 % (4024537)Time elapsed: 0.072 s
% 6.89/1.76 % (4024537)Peak memory usage: 88 MB
% 6.89/1.76 % (4024537)Instructions burned: 120 (million)
% 6.89/1.76 % (4024538)Instruction limit reached!
% 6.89/1.76 % (4024538)------------------------------
% 6.89/1.76 % (4024538)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.89/1.76 % (4024538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/1.76 % (4024538)CaDiCaL version: 2.1.3
% 6.89/1.76 % (4024538)Termination reason: Instruction limit
% 6.89/1.76 % (4024538)Termination phase: Saturation
% 6.89/1.76 % (4024538)Time elapsed: 0.073 s
% 6.89/1.76 % (4024538)Peak memory usage: 90 MB
% 6.89/1.76 % (4024538)Instructions burned: 140 (million)
% 6.89/1.76 % (4024539)Instruction limit reached!
% 6.89/1.76 % (4024539)------------------------------
% 6.89/1.76 % (4024539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.89/1.76 % (4024539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/1.76 % (4024539)CaDiCaL version: 2.1.3
% 6.89/1.76 % (4024539)Termination reason: Instruction limit
% 6.89/1.76 % (4024539)Termination phase: Saturation
% 6.89/1.76 % (4024539)Time elapsed: 0.077 s
% 6.89/1.76 % (4024539)Peak memory usage: 89 MB
% 6.89/1.76 % (4024539)Instructions burned: 130 (million)
% 6.89/1.76 % (4024548)lrs+10_1_sil=32000:urr=on:br=off:random_seed=799143330:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.89/1.76 % (4024548)Refutation not found, incomplete strategy
% 6.89/1.76 % (4024548)------------------------------
% 6.89/1.76 % (4024548)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.89/1.76 % (4024548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/1.76 % (4024548)CaDiCaL version: 2.1.3
% 6.89/1.76 % (4024548)Termination reason: Refutation not found, incomplete strategy
% 6.89/1.76 % (4024548)Time elapsed: 0.006 s
% 6.89/1.76 % (4024548)Peak memory usage: 89 MB
% 6.89/1.76 % (4024548)Instructions burned: 18 (million)
% 6.89/1.76 % (4024547)lrs+10_1_sil=8000:sp=occurrence:random_seed=3104879098:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.89/1.76 % (4024549)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1790147513:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.89/1.76 % (4024536)------------------------------
% 6.89/1.76 % (4024536)------------------------------
% 6.89/1.76 % (4024548)------------------------------
% 6.89/1.76 % (4024548)------------------------------
% 6.89/1.76 % (4024547)Instruction limit reached!
% 6.89/1.76 % (4024547)------------------------------
% 6.89/1.76 % (4024547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.89/1.76 % (4024547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/1.76 % (4024547)CaDiCaL version: 2.1.3
% 6.89/1.76 % (4024547)Termination reason: Instruction limit
% 6.89/1.76 % (4024547)Termination phase: Saturation
% 6.89/1.76 % (4024547)Time elapsed: 0.184 s
% 6.89/1.76 % (4024547)Peak memory usage: 92 MB
% 6.89/1.76 % (4024547)Instructions burned: 285 (million)
% 6.89/1.76 % (4024553)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=3100673908:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.89/1.76 % (4024554)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1646494235:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 6.89/1.76 % (4024549)Instruction limit reached!
% 6.89/1.76 % (4024549)------------------------------
% 6.89/1.76 % (4024549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.89/1.76 % (4024549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/1.76 % (4024549)CaDiCaL version: 2.1.3
% 6.89/1.76 % (4024549)Termination reason: Instruction limit
% 6.89/1.76 % (4024549)Termination phase: Saturation
% 6.89/1.76 % (4024549)Time elapsed: 0.229 s
% 6.89/1.76 % (4024549)Peak memory usage: 93 MB
% 6.89/1.76 % (4024549)Instructions burned: 326 (million)
% 6.89/1.76 % (4024554)Instruction limit reached!
% 6.89/1.76 % (4024554)------------------------------
% 6.89/1.76 % (4024554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.89/1.76 % (4024554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/1.76 % (4024554)CaDiCaL version: 2.1.3
% 6.89/1.76 % (4024554)Termination reason: Instruction limit
% 6.89/1.76 % (4024554)Termination phase: Saturation
% 6.89/1.76 % (4024554)Time elapsed: 0.092 s
% 6.89/1.76 % (4024554)Peak memory usage: 89 MB
% 6.89/1.76 % (4024554)Instructions burned: 295 (million)
% 6.89/1.76 % (4024553)Instruction limit reached!
% 6.89/1.76 % (4024553)------------------------------
% 6.89/1.76 % (4024553)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.89/1.76 % (4024553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/1.76 % (4024553)CaDiCaL version: 2.1.3
% 6.89/1.76 % (4024553)Termination reason: Instruction limit
% 6.89/1.76 % (4024553)Termination phase: Saturation
% 6.89/1.76 % (4024553)Time elapsed: 0.138 s
% 6.89/1.76 % (4024553)Peak memory usage: 90 MB
% 6.89/1.76 % (4024553)Instructions burned: 249 (million)
% 6.89/1.76 % (4024555)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1198597753:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.89/1.76 % (4024558)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3938895284:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.89/1.76 % (4024559)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1437722742:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 6.89/1.76 % (4024559)Instruction limit reached!
% 6.89/1.76 % (4024559)------------------------------
% 6.89/1.76 % (4024559)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.89/1.76 % (4024559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/1.76 % (4024559)CaDiCaL version: 2.1.3
% 6.89/1.76 % (4024559)Termination reason: Instruction limit
% 6.89/1.76 % (4024559)Termination phase: Saturation
% 6.89/1.76 % (4024559)Time elapsed: 0.037 s
% 6.89/1.76 % (4024559)Peak memory usage: 89 MB
% 6.89/1.76 % (4024559)Instructions burned: 131 (million)
% 6.89/1.76 % (4024534)First to succeed.
% 6.89/1.76 % (4024558)Instruction limit reached!
% 6.89/1.76 % (4024558)------------------------------
% 6.89/1.76 % (4024558)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.89/1.76 % (4024558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/1.76 % (4024558)CaDiCaL version: 2.1.3
% 6.89/1.76 % (4024558)Termination reason: Instruction limit
% 6.89/1.76 % (4024558)Termination phase: Saturation
% 6.89/1.76 % (4024558)Time elapsed: 0.082 s
% 6.89/1.76 % (4024558)Peak memory usage: 90 MB
% 6.89/1.76 % (4024558)Instructions burned: 113 (million)
% 6.89/1.76 % (4024534)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4024528"
% 6.89/1.76 % (4024560)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1291766081:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.89/1.76 % (4024560)Instruction limit reached!
% 6.89/1.76 % (4024560)------------------------------
% 6.89/1.76 % (4024560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.89/1.76 % (4024560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/1.76 % (4024560)CaDiCaL version: 2.1.3
% 6.89/1.76 % (4024560)Termination reason: Instruction limit
% 6.89/1.76 % (4024560)Termination phase: Saturation
% 6.89/1.76 % (4024560)Time elapsed: 0.075 s
% 6.89/1.76 % (4024560)Peak memory usage: 89 MB
% 6.89/1.76 % (4024560)Instructions burned: 114 (million)
% 6.89/1.76 % (4024565)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4265167986:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.89/1.76 % (4024564)lrs+10_1_sil=8000:sp=occurrence:random_seed=1591328509:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.89/1.76 % (4024565)Instruction limit reached!
% 6.89/1.76 % (4024565)------------------------------
% 6.89/1.76 % (4024565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.89/1.76 % (4024565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/1.76 % (4024565)CaDiCaL version: 2.1.3
% 6.89/1.76 % (4024565)Termination reason: Instruction limit
% 6.89/1.76 % (4024565)Termination phase: Saturation
% 6.89/1.76 % (4024565)Time elapsed: 0.138 s
% 6.89/1.76 % (4024565)Peak memory usage: 91 MB
% 6.89/1.76 % (4024565)Instructions burned: 437 (million)
% 6.89/1.76 % (4024567)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3311359344:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 6.89/1.76 % (4024534)Refutation found. Thanks to Tanya!
% 6.89/1.76 % SZS status Theorem for theBenchmark
% 6.89/1.76 % SZS output start Proof for theBenchmark
% See solution above
% 8.41/1.85 % (4024534)------------------------------
% 8.41/1.85 % (4024534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.41/1.85 % (4024534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.41/1.85 % (4024534)CaDiCaL version: 2.1.3
% 8.41/1.85 % (4024534)Termination reason: Refutation
% 8.41/1.85 % (4024534)Time elapsed: 0.720 s
% 8.41/1.85 % (4024534)Peak memory usage: 129 MB
% 8.41/1.85 % (4024534)Instructions burned: 1040 (million)
% 8.41/1.85 % (4024534)------------------------------
% 8.41/1.85 % (4024534)------------------------------
% 8.41/1.85 % (4024528)Success in time 1.153 s
% 8.41/1.85 % Vampire exiting
%------------------------------------------------------------------------------