%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PRO002+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 : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:30:20 PM UTC 2026
% Result : Theorem 7.07s 2.14s
% Output : Refutation 9.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 18
% Syntax : Number of formulae : 135 ( 21 unt; 6 def)
% Number of atoms : 420 ( 36 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 493 ( 208 ~; 191 |; 76 &)
% ( 9 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 7 prp; 0-5 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-3 aty)
% Number of variables : 265 ( 0 sgn 231 !; 34 ?)
% 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(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(f49,axiom,
! [X0,X1,X2,X3,X4] :
( ( occurrence_of(X1,X0)
& root_occ(X3,X1)
& leaf_occ(X4,X1)
& subactivity_occurrence(X2,X1)
& min_precedes(X3,X2,X0)
& X2 != X4 )
=> min_precedes(X2,X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_48) ).
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(f64,axiom,
! [X0,X1,X2,X3,X4] :
( send_message(X0,X1,X2,X3,X4)
=> ( X0 != tptp4
& X0 != tptp3
& X0 != tptp2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_63) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( send_message(X0,X1,X2,X3,X4)
& occurrence_of(X5,X0) )
=> min_precedes(X3,X5,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_64) ).
fof(f66,axiom,
! [X0,X1,X2] :
( tptp1(X0,X1,X2)
=> ( activity(X0)
& ~ atomic(X0)
& ~ atomic(X1)
& root(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_65) ).
fof(f67,axiom,
! [X0,X1,X2,X3] :
( ( tptp1(X0,X1,X2)
& occurrence_of(X3,X0) )
=> ? [X4,X5,X6,X7] :
( send_message(X4,X5,X6,X2,X1)
& occurrence_of(X7,X4)
& root_occ(X7,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_66) ).
fof(f69,conjecture,
~ ? [X0,X1,X2] :
( tptp1(X0,tptp0,X1)
& occurrence_of(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f70,negated_conjecture,
~ ~ ? [X0,X1,X2] :
( tptp1(X0,tptp0,X1)
& occurrence_of(X2,X0) ),
inference(negated_conjecture,[status(cth)],[f69]) ).
fof(f71,plain,
? [X0,X1,X2] :
( tptp1(X0,tptp0,X1)
& occurrence_of(X2,X0) ),
inference(flattening,[],[f70]) ).
fof(f74,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X1)
| ~ occurrence_of(X0,X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f75,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X1)
| ~ occurrence_of(X0,X2) ),
inference(flattening,[],[f74]) ).
fof(f100,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(f102,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(f117,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ occurrence_of(X2,X3)
| ~ root_occ(X0,X2)
| ~ root_occ(X1,X2) ),
inference(ennf_transformation,[],[f36]) ).
fof(f118,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ occurrence_of(X2,X3)
| ~ root_occ(X0,X2)
| ~ root_occ(X1,X2) ),
inference(flattening,[],[f117]) ).
fof(f141,plain,
! [X0,X1,X2,X3,X4] :
( min_precedes(X2,X4,X0)
| ~ occurrence_of(X1,X0)
| ~ root_occ(X3,X1)
| ~ leaf_occ(X4,X1)
| ~ subactivity_occurrence(X2,X1)
| ~ min_precedes(X3,X2,X0)
| X2 = X4 ),
inference(ennf_transformation,[],[f49]) ).
fof(f142,plain,
! [X0,X1,X2,X3,X4] :
( min_precedes(X2,X4,X0)
| ~ occurrence_of(X1,X0)
| ~ root_occ(X3,X1)
| ~ leaf_occ(X4,X1)
| ~ subactivity_occurrence(X2,X1)
| ~ min_precedes(X3,X2,X0)
| X2 = X4 ),
inference(flattening,[],[f141]) ).
fof(f143,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(f145,plain,
! [X0,X1,X2,X3,X4] :
( ( X0 != tptp4
& X0 != tptp3
& X0 != tptp2 )
| ~ send_message(X0,X1,X2,X3,X4) ),
inference(ennf_transformation,[],[f64]) ).
fof(f146,plain,
! [X0,X1,X2,X3,X4,X5] :
( min_precedes(X3,X5,X4)
| ~ send_message(X0,X1,X2,X3,X4)
| ~ occurrence_of(X5,X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f147,plain,
! [X0,X1,X2,X3,X4,X5] :
( min_precedes(X3,X5,X4)
| ~ send_message(X0,X1,X2,X3,X4)
| ~ occurrence_of(X5,X0) ),
inference(flattening,[],[f146]) ).
fof(f148,plain,
! [X0,X1,X2] :
( ( activity(X0)
& ~ atomic(X0)
& ~ atomic(X1)
& root(X2,X1) )
| ~ tptp1(X0,X1,X2) ),
inference(ennf_transformation,[],[f66]) ).
fof(f149,plain,
! [X0,X1,X2,X3] :
( ? [X4,X5,X6,X7] :
( send_message(X4,X5,X6,X2,X1)
& occurrence_of(X7,X4)
& root_occ(X7,X3) )
| ~ tptp1(X0,X1,X2)
| ~ occurrence_of(X3,X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f150,plain,
! [X0,X1,X2,X3] :
( ? [X4,X5,X6,X7] :
( send_message(X4,X5,X6,X2,X1)
& occurrence_of(X7,X4)
& root_occ(X7,X3) )
| ~ tptp1(X0,X1,X2)
| ~ occurrence_of(X3,X0) ),
inference(flattening,[],[f149]) ).
fof(f162,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,[],[f100]) ).
fof(f163,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,[],[f162]) ).
fof(f164,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,[],[f163]) ).
fof(f165,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))],[f164]) ).
fof(f169,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))],[f102]) ).
fof(f173,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(f174,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,[],[f173]) ).
fof(f175,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))],[f174]) ).
fof(f180,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))],[f143]) ).
fof(f181,plain,
! [X0,X1,X2,X3] :
( ( send_message(sK18(X1,X2,X3),sK19(X1,X2,X3),sK20(X1,X2,X3),X2,X1)
& occurrence_of(sK21(X1,X2,X3),sK18(X1,X2,X3))
& root_occ(sK21(X1,X2,X3),X3) )
| ~ tptp1(X0,X1,X2)
| ~ occurrence_of(X3,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18,sK19,sK20,sK21]),skolemize(X4,sK18(X1,X2,X3)),skolemize(X5,sK19(X1,X2,X3)),skolemize(X6,sK20(X1,X2,X3)),skolemize(X7,sK21(X1,X2,X3))],[f150]) ).
fof(f182,plain,
( tptp1(sK22,tptp0,sK23)
& occurrence_of(sK24,sK22) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22,sK23,sK24]),skolemize(X0,sK22),skolemize(X1,sK23),skolemize(X2,sK24)],[f71]) ).
fof(f187,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f75]) ).
fof(f218,plain,
! [X2,X0,X1,X4] :
( ~ next_subocc(X0,X1,X2)
| ~ min_precedes(X4,X1,X2)
| ~ min_precedes(X0,X4,X2) ),
inference(cnf_transformation,[],[f165]) ).
fof(f228,plain,
! [X2,X0,X1] :
( subactivity_occurrence(X2,sK9(X0,X1,X2))
| ~ min_precedes(X1,X2,X0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f229,plain,
! [X2,X0,X1] :
( subactivity_occurrence(X1,sK9(X0,X1,X2))
| ~ min_precedes(X1,X2,X0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f230,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| occurrence_of(sK9(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f243,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| occurrence_of(X1,sK13(X0,X1)) ),
inference(cnf_transformation,[],[f175]) ).
fof(f244,plain,
! [X2,X0,X1] :
( ~ root(X0,X2)
| ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| root_occ(X0,X1) ),
inference(cnf_transformation,[],[f175]) ).
fof(f249,plain,
! [X2,X3,X0,X1] :
( ~ root_occ(X1,X2)
| ~ occurrence_of(X2,X3)
| ~ root_occ(X0,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f118]) ).
fof(f264,plain,
! [X2,X3,X0,X1,X4] :
( ~ leaf_occ(X4,X1)
| ~ occurrence_of(X1,X0)
| ~ root_occ(X3,X1)
| min_precedes(X2,X4,X0)
| ~ subactivity_occurrence(X2,X1)
| ~ min_precedes(X3,X2,X0)
| X2 = X4 ),
inference(cnf_transformation,[],[f142]) ).
fof(f265,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| next_subocc(sK16(X0),sK17(X0),tptp0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f266,plain,
! [X0] :
( leaf_occ(sK17(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f267,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| occurrence_of(sK17(X0),tptp2)
| occurrence_of(sK17(X0),tptp3) ),
inference(cnf_transformation,[],[f180]) ).
fof(f268,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| root_occ(sK16(X0),X0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f286,plain,
! [X2,X3,X0,X1,X4] :
( tptp2 != X0
| ~ send_message(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f145]) ).
fof(f287,plain,
! [X2,X3,X0,X1,X4] :
( tptp3 != X0
| ~ send_message(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f145]) ).
fof(f289,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ send_message(X0,X1,X2,X3,X4)
| min_precedes(X3,X5,X4)
| ~ occurrence_of(X5,X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f290,plain,
! [X2,X0,X1] :
( ~ tptp1(X0,X1,X2)
| root(X2,X1) ),
inference(cnf_transformation,[],[f148]) ).
fof(f295,plain,
! [X2,X3,X0,X1] :
( ~ occurrence_of(X3,X0)
| ~ tptp1(X0,X1,X2)
| occurrence_of(sK21(X1,X2,X3),sK18(X1,X2,X3)) ),
inference(cnf_transformation,[],[f181]) ).
fof(f296,plain,
! [X2,X3,X0,X1] :
( ~ occurrence_of(X3,X0)
| ~ tptp1(X0,X1,X2)
| send_message(sK18(X1,X2,X3),sK19(X1,X2,X3),sK20(X1,X2,X3),X2,X1) ),
inference(cnf_transformation,[],[f181]) ).
fof(f298,plain,
occurrence_of(sK24,sK22),
inference(cnf_transformation,[],[f182]) ).
fof(f299,plain,
tptp1(sK22,tptp0,sK23),
inference(cnf_transformation,[],[f182]) ).
fof(f301,plain,
! [X2,X3,X1,X4] : ~ send_message(tptp3,X1,X2,X3,X4),
inference(equality_resolution,[],[f287]) ).
fof(f302,plain,
! [X2,X3,X1,X4] : ~ send_message(tptp2,X1,X2,X3,X4),
inference(equality_resolution,[],[f286]) ).
fof(f303,plain,
! [X0,X1] :
( send_message(sK18(X0,X1,sK24),sK19(X0,X1,sK24),sK20(X0,X1,sK24),X1,X0)
| ~ tptp1(sK22,X0,X1) ),
inference(resolution,[],[f296,f298]) ).
fof(f304,plain,
! [X0,X1] :
( ~ tptp1(sK22,X0,X1)
| occurrence_of(sK21(X0,X1,sK24),sK18(X0,X1,sK24)) ),
inference(resolution,[],[f295,f298]) ).
fof(f305,plain,
occurrence_of(sK21(tptp0,sK23,sK24),sK18(tptp0,sK23,sK24)),
inference(resolution,[],[f304,f299]) ).
fof(f307,plain,
! [X0] :
( ~ occurrence_of(sK21(tptp0,sK23,sK24),X0)
| sK18(tptp0,sK23,sK24) = X0 ),
inference(resolution,[],[f305,f187]) ).
fof(f311,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X1,sK18(X2,X0,sK24))
| min_precedes(X0,X1,X2)
| ~ tptp1(sK22,X2,X0) ),
inference(resolution,[],[f289,f303]) ).
fof(f312,plain,
( min_precedes(sK23,sK21(tptp0,sK23,sK24),tptp0)
| ~ tptp1(sK22,tptp0,sK23) ),
inference(resolution,[],[f311,f305]) ).
fof(f313,plain,
min_precedes(sK23,sK21(tptp0,sK23,sK24),tptp0),
inference(forward_subsumption_resolution,[],[f312,f299]) ).
fof(f324,plain,
root(sK23,tptp0),
inference(resolution,[],[f290,f299]) ).
fof(f339,plain,
! [X2,X3,X0,X1] :
( ~ occurrence_of(X0,tptp0)
| ~ root_occ(X2,X0)
| min_precedes(X3,sK17(X0),X1)
| ~ subactivity_occurrence(X3,X0)
| ~ min_precedes(X2,X3,X1)
| sK17(X0) = X3
| ~ occurrence_of(X0,X1) ),
inference(resolution,[],[f264,f266]) ).
fof(f341,plain,
occurrence_of(sK9(tptp0,sK23,sK21(tptp0,sK23,sK24)),tptp0),
inference(resolution,[],[f230,f313]) ).
fof(f342,plain,
( occurrence_of(sK17(sK9(tptp0,sK23,sK21(tptp0,sK23,sK24))),tptp2)
| occurrence_of(sK17(sK9(tptp0,sK23,sK21(tptp0,sK23,sK24))),tptp3) ),
inference(resolution,[],[f341,f267]) ).
fof(f345,plain,
next_subocc(sK16(sK9(tptp0,sK23,sK21(tptp0,sK23,sK24))),sK17(sK9(tptp0,sK23,sK21(tptp0,sK23,sK24))),tptp0),
inference(resolution,[],[f341,f265]) ).
fof(f346,plain,
root_occ(sK16(sK9(tptp0,sK23,sK21(tptp0,sK23,sK24))),sK9(tptp0,sK23,sK21(tptp0,sK23,sK24))),
inference(resolution,[],[f341,f268]) ).
fof(f358,definition,
( spl25_6
<=> occurrence_of(sK17(sK9(tptp0,sK23,sK21(tptp0,sK23,sK24))),tptp3) ),
introduced(definition,[new_symbols(definition,[spl25_6])],[avatar_definition]) ).
fof(f359,plain,
( occurrence_of(sK17(sK9(tptp0,sK23,sK21(tptp0,sK23,sK24))),tptp3)
| ~ spl25_6 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f361,definition,
( spl25_7
<=> occurrence_of(sK17(sK9(tptp0,sK23,sK21(tptp0,sK23,sK24))),tptp2) ),
introduced(definition,[new_symbols(definition,[spl25_7])],[avatar_definition]) ).
fof(f362,plain,
( occurrence_of(sK17(sK9(tptp0,sK23,sK21(tptp0,sK23,sK24))),tptp2)
| ~ spl25_7 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f363,plain,
( spl25_6
| spl25_7 ),
inference(avatar_split_clause,[],[f342,f361,f358]) ).
fof(f368,plain,
! [X0] :
( ~ min_precedes(sK16(sK9(tptp0,sK23,sK21(tptp0,sK23,sK24))),X0,tptp0)
| ~ min_precedes(X0,sK17(sK9(tptp0,sK23,sK21(tptp0,sK23,sK24))),tptp0) ),
inference(resolution,[],[f345,f218]) ).
fof(f494,definition,
( spl25_16
<=> ! [X0] : ~ occurrence_of(sK9(tptp0,sK23,sK21(tptp0,sK23,sK24)),X0) ),
introduced(definition,[new_symbols(definition,[spl25_16])],[avatar_definition]) ).
fof(f495,plain,
( ! [X0] : ~ occurrence_of(sK9(tptp0,sK23,sK21(tptp0,sK23,sK24)),X0)
| ~ spl25_16 ),
inference(avatar_component_clause,[],[f494]) ).
fof(f520,plain,
! [X2,X0,X1] :
( ~ root_occ(X0,sK9(tptp0,sK23,sK21(tptp0,sK23,sK24)))
| min_precedes(X1,sK17(sK9(tptp0,sK23,sK21(tptp0,sK23,sK24))),X2)
| ~ subactivity_occurrence(X1,sK9(tptp0,sK23,sK21(tptp0,sK23,sK24)))
| ~ min_precedes(X0,X1,X2)
| sK17(sK9(tptp0,sK23,sK21(tptp0,sK23,sK24))) = X1
| ~ occurrence_of(sK9(tptp0,sK23,sK21(tptp0,sK23,sK24)),X2) ),
inference(resolution,[],[f339,f341]) ).
fof(f523,plain,
! [X0,X1] :
( ~ occurrence_of(sK9(tptp0,sK23,sK21(tptp0,sK23,sK24)),X0)
| ~ root_occ(X1,sK9(tptp0,sK23,sK21(tptp0,sK23,sK24)))
| sK16(sK9(tptp0,sK23,sK21(tptp0,sK23,sK24))) = X1 ),
inference(resolution,[],[f249,f346]) ).
fof(f533,definition,
( spl25_20
<=> ! [X1] :
( ~ root_occ(X1,sK9(tptp0,sK23,sK21(tptp0,sK23,sK24)))
| sK16(sK9(tptp0,sK23,sK21(tptp0,sK23,sK24))) = X1 ) ),
introduced(definition,[new_symbols(definition,[spl25_20])],[avatar_definition]) ).
fof(f534,plain,
( ! [X1] :
( ~ root_occ(X1,sK9(tptp0,sK23,sK21(tptp0,sK23,sK24)))
| sK16(sK9(tptp0,sK23,sK21(tptp0,sK23,sK24))) = X1 )
| ~ spl25_20 ),
inference(avatar_component_clause,[],[f533]) ).
fof(f535,plain,
( spl25_20
| spl25_16 ),
inference(avatar_split_clause,[],[f523,f494,f533]) ).
fof(f546,plain,
( $false
| ~ spl25_16 ),
inference(unit_resulting_resolution,[],[f243,f346,f495]) ).
fof(f556,plain,
~ spl25_16,
inference(avatar_contradiction_clause,[],[f546]) ).
fof(f596,plain,
! [X0] :
( ~ subactivity_occurrence(sK23,X0)
| ~ occurrence_of(X0,tptp0)
| root_occ(sK23,X0) ),
inference(resolution,[],[f244,f324]) ).
fof(f1119,plain,
! [X0,X1] :
( ~ occurrence_of(sK9(tptp0,sK23,sK21(tptp0,sK23,sK24)),X1)
| ~ subactivity_occurrence(X0,sK9(tptp0,sK23,sK21(tptp0,sK23,sK24)))
| ~ min_precedes(sK16(sK9(tptp0,sK23,sK21(tptp0,sK23,sK24))),X0,X1)
| sK17(sK9(tptp0,sK23,sK21(tptp0,sK23,sK24))) = X0
| min_precedes(X0,sK17(sK9(tptp0,sK23,sK21(tptp0,sK23,sK24))),X1) ),
inference(resolution,[],[f520,f346]) ).
fof(f1120,plain,
! [X0] :
( ~ subactivity_occurrence(X0,sK9(tptp0,sK23,sK21(tptp0,sK23,sK24)))
| ~ min_precedes(sK16(sK9(tptp0,sK23,sK21(tptp0,sK23,sK24))),X0,tptp0)
| sK17(sK9(tptp0,sK23,sK21(tptp0,sK23,sK24))) = X0
| min_precedes(X0,sK17(sK9(tptp0,sK23,sK21(tptp0,sK23,sK24))),tptp0) ),
inference(resolution,[],[f1119,f341]) ).
fof(f1125,plain,
! [X0] :
( ~ min_precedes(sK16(sK9(tptp0,sK23,sK21(tptp0,sK23,sK24))),X0,tptp0)
| ~ subactivity_occurrence(X0,sK9(tptp0,sK23,sK21(tptp0,sK23,sK24)))
| sK17(sK9(tptp0,sK23,sK21(tptp0,sK23,sK24))) = X0 ),
inference(forward_subsumption_resolution,[],[f1120,f368]) ).
fof(f1502,plain,
! [X0,X1] :
( ~ occurrence_of(sK9(X0,sK23,X1),tptp0)
| root_occ(sK23,sK9(X0,sK23,X1))
| ~ min_precedes(sK23,X1,X0) ),
inference(resolution,[],[f596,f229]) ).
fof(f1503,plain,
( root_occ(sK23,sK9(tptp0,sK23,sK21(tptp0,sK23,sK24)))
| ~ min_precedes(sK23,sK21(tptp0,sK23,sK24),tptp0) ),
inference(resolution,[],[f1502,f341]) ).
fof(f1504,plain,
root_occ(sK23,sK9(tptp0,sK23,sK21(tptp0,sK23,sK24))),
inference(forward_subsumption_resolution,[],[f1503,f313]) ).
fof(f1507,plain,
( sK23 = sK16(sK9(tptp0,sK23,sK21(tptp0,sK23,sK24)))
| ~ spl25_20 ),
inference(resolution,[],[f1504,f534]) ).
fof(f1591,plain,
( ! [X0] :
( ~ min_precedes(sK23,X0,tptp0)
| ~ subactivity_occurrence(X0,sK9(tptp0,sK23,sK21(tptp0,sK23,sK24)))
| sK17(sK9(tptp0,sK23,sK21(tptp0,sK23,sK24))) = X0 )
| ~ spl25_20 ),
inference(superposition,[],[f1125,f1507]) ).
fof(f1881,plain,
( ~ subactivity_occurrence(sK21(tptp0,sK23,sK24),sK9(tptp0,sK23,sK21(tptp0,sK23,sK24)))
| sK21(tptp0,sK23,sK24) = sK17(sK9(tptp0,sK23,sK21(tptp0,sK23,sK24)))
| ~ spl25_20 ),
inference(resolution,[],[f1591,f313]) ).
fof(f1884,definition,
( spl25_61
<=> sK21(tptp0,sK23,sK24) = sK17(sK9(tptp0,sK23,sK21(tptp0,sK23,sK24))) ),
introduced(definition,[new_symbols(definition,[spl25_61])],[avatar_definition]) ).
fof(f1885,plain,
( sK21(tptp0,sK23,sK24) = sK17(sK9(tptp0,sK23,sK21(tptp0,sK23,sK24)))
| ~ spl25_61 ),
inference(avatar_component_clause,[],[f1884]) ).
fof(f1887,definition,
( spl25_62
<=> subactivity_occurrence(sK21(tptp0,sK23,sK24),sK9(tptp0,sK23,sK21(tptp0,sK23,sK24))) ),
introduced(definition,[new_symbols(definition,[spl25_62])],[avatar_definition]) ).
fof(f1888,plain,
( ~ subactivity_occurrence(sK21(tptp0,sK23,sK24),sK9(tptp0,sK23,sK21(tptp0,sK23,sK24)))
| spl25_62 ),
inference(avatar_component_clause,[],[f1887]) ).
fof(f1889,plain,
( spl25_61
| ~ spl25_62
| ~ spl25_20 ),
inference(avatar_split_clause,[],[f1881,f533,f1887,f1884]) ).
fof(f1891,plain,
( ~ min_precedes(sK23,sK21(tptp0,sK23,sK24),tptp0)
| spl25_62 ),
inference(resolution,[],[f1888,f228]) ).
fof(f1897,plain,
( $false
| spl25_62 ),
inference(forward_subsumption_resolution,[],[f1891,f313]) ).
fof(f1898,plain,
spl25_62,
inference(avatar_contradiction_clause,[],[f1897]) ).
fof(f1901,plain,
( occurrence_of(sK21(tptp0,sK23,sK24),tptp3)
| ~ spl25_6
| ~ spl25_61 ),
inference(superposition,[],[f359,f1885]) ).
fof(f2102,plain,
( tptp3 = sK18(tptp0,sK23,sK24)
| ~ spl25_6
| ~ spl25_61 ),
inference(resolution,[],[f1901,f307]) ).
fof(f2113,plain,
( send_message(tptp3,sK19(tptp0,sK23,sK24),sK20(tptp0,sK23,sK24),sK23,tptp0)
| ~ tptp1(sK22,tptp0,sK23)
| ~ spl25_6
| ~ spl25_61 ),
inference(superposition,[],[f303,f2102]) ).
fof(f2114,plain,
( ~ tptp1(sK22,tptp0,sK23)
| ~ spl25_6
| ~ spl25_61 ),
inference(forward_subsumption_resolution,[],[f2113,f301]) ).
fof(f2116,plain,
( $false
| ~ spl25_6
| ~ spl25_61 ),
inference(forward_subsumption_resolution,[],[f2114,f299]) ).
fof(f2117,plain,
( ~ spl25_6
| ~ spl25_61 ),
inference(avatar_contradiction_clause,[],[f2116]) ).
fof(f2118,plain,
( occurrence_of(sK21(tptp0,sK23,sK24),tptp2)
| ~ spl25_7
| ~ spl25_61 ),
inference(forward_demodulation,[],[f362,f1885]) ).
fof(f2141,plain,
( tptp2 = sK18(tptp0,sK23,sK24)
| ~ spl25_7
| ~ spl25_61 ),
inference(resolution,[],[f2118,f307]) ).
fof(f2152,plain,
( send_message(tptp2,sK19(tptp0,sK23,sK24),sK20(tptp0,sK23,sK24),sK23,tptp0)
| ~ tptp1(sK22,tptp0,sK23)
| ~ spl25_7
| ~ spl25_61 ),
inference(superposition,[],[f303,f2141]) ).
fof(f2153,plain,
( ~ tptp1(sK22,tptp0,sK23)
| ~ spl25_7
| ~ spl25_61 ),
inference(forward_subsumption_resolution,[],[f2152,f302]) ).
fof(f2155,plain,
( $false
| ~ spl25_7
| ~ spl25_61 ),
inference(forward_subsumption_resolution,[],[f2153,f299]) ).
fof(f2156,plain,
( ~ spl25_7
| ~ spl25_61 ),
inference(avatar_contradiction_clause,[],[f2155]) ).
cnf(s3,plain,
( spl25_6
| spl25_7 ),
inference(sat_conversion,[],[f363]) ).
cnf(s14,plain,
( spl25_16
| spl25_20 ),
inference(sat_conversion,[],[f535]) ).
cnf(s22,plain,
~ spl25_16,
inference(sat_conversion,[],[f556]) ).
cnf(s68,plain,
( ~ spl25_20
| spl25_61
| ~ spl25_62 ),
inference(sat_conversion,[],[f1889]) ).
cnf(s70,plain,
spl25_62,
inference(sat_conversion,[],[f1898]) ).
cnf(s71,plain,
( ~ spl25_6
| ~ spl25_61 ),
inference(sat_conversion,[],[f2117]) ).
cnf(s72,plain,
( ~ spl25_7
| ~ spl25_61 ),
inference(sat_conversion,[],[f2156]) ).
cnf(s73,plain,
( ~ spl25_20
| spl25_61 ),
inference(rat,[],[s68,s70]) ).
cnf(s80,plain,
spl25_20,
inference(rat,[],[s14,s22]) ).
cnf(s81,plain,
spl25_61,
inference(rat,[],[s73,s80]) ).
cnf(s83,plain,
~ spl25_7,
inference(rat,[],[s72,s81]) ).
cnf(s84,plain,
~ spl25_6,
inference(rat,[],[s71,s81]) ).
cnf(s100,plain,
$false,
inference(rat,[],[s3,s83,s84]) ).
fof(f2157,plain,
$false,
inference(avatar_sat_refutation,[],[s100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PRO002+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.35 % Computer : n006.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 27 22:15:55 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.39 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
% 7.07/2.14 % (3379344)Detected formulas, will run a generic FOF schedule.
% 7.07/2.14 % (3379355)dis-21_1_sil=8000:lcm=predicate:random_seed=2702605380: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)
% 7.07/2.14 % (3379355)Instruction limit reached!
% 7.07/2.14 % (3379355)------------------------------
% 7.07/2.14 % (3379355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.07/2.14 % (3379355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.07/2.14 % (3379355)CaDiCaL version: 2.1.3
% 7.07/2.14 % (3379355)Termination reason: Instruction limit
% 7.07/2.14 % (3379355)Termination phase: Saturation
% 7.07/2.14 % (3379355)Time elapsed: 0.041 s
% 7.07/2.14 % (3379355)Peak memory usage: 89 MB
% 7.07/2.14 % (3379355)Instructions burned: 130 (million)
% 7.07/2.14 % (3379354)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=195983836:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.07/2.14 % (3379352)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4076023551:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.07/2.14 % (3379349)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=2664659084:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.07/2.14 % (3379353)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=925535761:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.07/2.14 % (3379350)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=1509847952:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.07/2.14 % (3379351)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=4124092878:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.07/2.14 % (3379352)Refutation not found, incomplete strategy
% 7.07/2.14 % (3379352)------------------------------
% 7.07/2.14 % (3379352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.07/2.14 % (3379352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.07/2.14 % (3379352)CaDiCaL version: 2.1.3
% 7.07/2.14 % (3379352)Termination reason: Refutation not found, incomplete strategy
% 7.07/2.14 % (3379352)Time elapsed: 0.001 s
% 7.07/2.14 % (3379352)Peak memory usage: 88 MB
% 7.07/2.14 % (3379353)Instruction limit reached!
% 7.07/2.14 % (3379353)------------------------------
% 7.07/2.14 % (3379353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.07/2.14 % (3379353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.07/2.14 % (3379353)CaDiCaL version: 2.1.3
% 7.07/2.14 % (3379353)Termination reason: Instruction limit
% 7.07/2.14 % (3379353)Termination phase: Saturation
% 7.07/2.14 % (3379353)Time elapsed: 0.066 s
% 7.07/2.14 % (3379353)Peak memory usage: 88 MB
% 7.07/2.14 % (3379353)Instructions burned: 120 (million)
% 7.07/2.14 % (3379354)Instruction limit reached!
% 7.07/2.14 % (3379354)------------------------------
% 7.07/2.14 % (3379354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.07/2.14 % (3379354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.07/2.14 % (3379354)CaDiCaL version: 2.1.3
% 7.07/2.14 % (3379354)Termination reason: Instruction limit
% 7.07/2.14 % (3379354)Termination phase: Saturation
% 7.07/2.14 % (3379354)Time elapsed: 0.103 s
% 7.07/2.14 % (3379354)Peak memory usage: 90 MB
% 7.07/2.14 % (3379354)Instructions burned: 139 (million)
% 7.07/2.14 % (3379363)lrs+10_1_sil=8000:sp=occurrence:random_seed=2448209094:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 7.07/2.14 % (3379364)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1460363086:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.07/2.14 % (3379364)Refutation not found, incomplete strategy
% 7.07/2.14 % (3379364)------------------------------
% 7.07/2.14 % (3379364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.07/2.14 % (3379364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.07/2.14 % (3379364)CaDiCaL version: 2.1.3
% 7.07/2.14 % (3379364)Termination reason: Refutation not found, incomplete strategy
% 7.07/2.14 % (3379364)Time elapsed: 0.002 s
% 7.07/2.14 % (3379364)Peak memory usage: 89 MB
% 7.07/2.14 % (3379364)Instructions burned: 1 (million)
% 7.07/2.14 % (3379363)Instruction limit reached!
% 7.07/2.14 % (3379363)------------------------------
% 7.07/2.14 % (3379363)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.07/2.14 % (3379363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.07/2.14 % (3379363)CaDiCaL version: 2.1.3
% 7.07/2.14 % (3379363)Termination reason: Instruction limit
% 7.07/2.14 % (3379363)Termination phase: Saturation
% 7.07/2.14 % (3379363)Time elapsed: 0.099 s
% 7.07/2.14 % (3379363)Peak memory usage: 91 MB
% 7.07/2.14 % (3379363)Instructions burned: 286 (million)
% 7.07/2.14 % (3379352)------------------------------
% 7.07/2.14 % (3379352)------------------------------
% 7.07/2.14 % (3379365)lrs+1011_1_sil=32000:sp=occurrence:random_seed=613207336:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 7.07/2.14 % (3379368)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=4226354966:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 7.07/2.14 % (3379368)Instruction limit reached!
% 7.07/2.14 % (3379368)------------------------------
% 7.07/2.14 % (3379368)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.07/2.14 % (3379368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.07/2.14 % (3379368)CaDiCaL version: 2.1.3
% 7.07/2.14 % (3379368)Termination reason: Instruction limit
% 7.07/2.14 % (3379368)Termination phase: Saturation
% 7.07/2.14 % (3379368)Time elapsed: 0.077 s
% 7.07/2.14 % (3379368)Peak memory usage: 90 MB
% 7.07/2.14 % (3379368)Instructions burned: 248 (million)
% 7.07/2.14 % (3379369)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3299013489:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 7.07/2.14 % (3379364)------------------------------
% 7.07/2.14 % (3379364)------------------------------
% 7.07/2.14 % (3379365)Instruction limit reached!
% 7.07/2.14 % (3379365)------------------------------
% 7.07/2.14 % (3379365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.07/2.14 % (3379365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.07/2.14 % (3379365)CaDiCaL version: 2.1.3
% 7.07/2.14 % (3379365)Termination reason: Instruction limit
% 7.07/2.14 % (3379365)Termination phase: Saturation
% 7.07/2.14 % (3379365)Time elapsed: 0.201 s
% 7.07/2.14 % (3379365)Peak memory usage: 91 MB
% 7.07/2.14 % (3379365)Instructions burned: 327 (million)
% 7.07/2.14 % (3379372)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1611007600:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 7.07/2.14 % (3379369)Instruction limit reached!
% 7.07/2.14 % (3379369)------------------------------
% 7.07/2.14 % (3379369)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.07/2.14 % (3379369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.07/2.14 % (3379369)CaDiCaL version: 2.1.3
% 7.07/2.14 % (3379369)Termination reason: Instruction limit
% 7.07/2.14 % (3379369)Termination phase: Saturation
% 7.07/2.14 % (3379369)Time elapsed: 0.163 s
% 7.07/2.14 % (3379369)Peak memory usage: 88 MB
% 7.07/2.14 % (3379369)Instructions burned: 296 (million)
% 7.07/2.14 % (3379374)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4170782195:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 7.07/2.14 % (3379375)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3516224554:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 7.07/2.14 % (3379375)Instruction limit reached!
% 7.07/2.14 % (3379375)------------------------------
% 7.07/2.14 % (3379375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.07/2.14 % (3379375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.07/2.14 % (3379375)CaDiCaL version: 2.1.3
% 7.07/2.14 % (3379375)Termination reason: Instruction limit
% 7.07/2.14 % (3379375)Termination phase: Saturation
% 7.07/2.14 % (3379375)Time elapsed: 0.071 s
% 7.07/2.14 % (3379375)Peak memory usage: 89 MB
% 7.07/2.14 % (3379375)Instructions burned: 128 (million)
% 7.07/2.14 % (3379374)Instruction limit reached!
% 7.07/2.14 % (3379374)------------------------------
% 7.07/2.14 % (3379374)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.07/2.14 % (3379374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.07/2.14 % (3379374)CaDiCaL version: 2.1.3
% 7.07/2.14 % (3379374)Termination reason: Instruction limit
% 7.07/2.14 % (3379374)Termination phase: Saturation
% 7.07/2.14 % (3379374)Time elapsed: 0.081 s
% 7.07/2.14 % (3379374)Peak memory usage: 90 MB
% 7.07/2.14 % (3379374)Instructions burned: 113 (million)
% 7.07/2.14 % (3379377)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1135208875:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 7.07/2.14 % (3379377)Refutation not found, incomplete strategy
% 7.07/2.14 % (3379377)------------------------------
% 7.07/2.14 % (3379377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.07/2.14 % (3379377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.07/2.14 % (3379377)CaDiCaL version: 2.1.3
% 7.07/2.14 % (3379377)Termination reason: Refutation not found, incomplete strategy
% 7.07/2.14 % (3379377)Time elapsed: 0.002 s
% 7.07/2.14 % (3379377)Peak memory usage: 89 MB
% 7.07/2.14 % (3379377)Instructions burned: 1 (million)
% 7.07/2.14 % (3379381)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1366775413:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 7.07/2.14 % (3379380)lrs+10_1_sil=8000:sp=occurrence:random_seed=3056018594:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 7.07/2.14 % (3379381)Refutation not found, incomplete strategy
% 7.07/2.14 % (3379381)------------------------------
% 7.07/2.14 % (3379381)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.07/2.14 % (3379381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.07/2.14 % (3379381)CaDiCaL version: 2.1.3
% 7.07/2.14 % (3379381)Termination reason: Refutation not found, incomplete strategy
% 7.07/2.14 % (3379381)Time elapsed: 0.006 s
% 7.07/2.14 % (3379381)Peak memory usage: 88 MB
% 7.07/2.14 % (3379381)Instructions burned: 7 (million)
% 7.07/2.14 % (3379350)First to succeed.
% 7.07/2.14 % (3379350)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3379344"
% 7.07/2.14 % (3379377)------------------------------
% 7.07/2.14 % (3379377)------------------------------
% 7.07/2.14 % (3379349)Also succeeded, but the first one will report.
% 7.07/2.14 % (3379372)Also succeeded, but the first one will report.
% 7.07/2.14 % (3379381)------------------------------
% 7.07/2.14 % (3379381)------------------------------
% 7.07/2.14 % (3379350)Refutation found. Thanks to Tanya!
% 7.07/2.14 % SZS status Theorem for theBenchmark
% 7.07/2.14 % SZS output start Proof for theBenchmark
% See solution above
% 9.89/2.34 % (3379350)------------------------------
% 9.89/2.34 % (3379350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.89/2.34 % (3379350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.89/2.34 % (3379350)CaDiCaL version: 2.1.3
% 9.89/2.34 % (3379350)Termination reason: Refutation
% 9.89/2.34 % (3379350)Time elapsed: 0.881 s
% 9.89/2.34 % (3379350)Peak memory usage: 132 MB
% 9.89/2.34 % (3379350)Instructions burned: 1283 (million)
% 9.89/2.34 % (3379350)------------------------------
% 9.89/2.34 % (3379350)------------------------------
% 9.89/2.34 % (3379344)Success in time 1.32 s
% 9.89/2.34 % Vampire exiting
%------------------------------------------------------------------------------