%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : AGT008+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 09:06:33 AM UTC 2026
% Result : Theorem 7.84s 1.99s
% Output : Refutation 9.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 29
% Syntax : Number of formulae : 123 ( 49 unt; 5 def)
% Number of atoms : 297 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 298 ( 124 ~; 120 |; 40 &)
% ( 8 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 6 prp; 0-4 aty)
% Number of functors : 24 ( 24 usr; 21 con; 0-2 aty)
% Number of variables : 120 ( 0 sgn 120 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2,X3] :
( accept_team(X0,X3,X1,X2)
<=> ( accept_city(X0,X1)
& accept_leader(X0,X3)
& accept_number(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1_1) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( accept_population(X0,X3,X1)
& less(X2,X1) )
=> accept_population(X0,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1_3) ).
fof(f14,axiom,
! [X0] :
( ( accept_population(X0,atheist,n12)
& accept_population(X0,christian,n3)
& accept_population(X0,muslim,n0)
& accept_population(X0,native,n85)
& accept_population(X0,other,n0) )
<=> accept_city(X0,coastvillage) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_7) ).
fof(f15,axiom,
! [X0] :
( ( accept_population(X0,atheist,n0)
& accept_population(X0,christian,n0)
& accept_population(X0,muslim,n0)
& accept_population(X0,native,n100)
& accept_population(X0,other,n0) )
<=> accept_city(X0,sunsetpoint) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_8) ).
fof(f282,axiom,
~ accept_city(countryamedicalorganization,coastvillage),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',deduced_13) ).
fof(f287,axiom,
accept_population(countryamedicalorganization,atheist,n30),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',deduced_18) ).
fof(f480,axiom,
accept_population(countryamedicalorganization,christian,n20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',deduced_211) ).
fof(f489,axiom,
accept_population(countryamedicalorganization,other,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',deduced_220) ).
fof(f640,axiom,
rdn_translate(n3,rdn_pos(rdnn(n3))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn3) ).
fof(f649,axiom,
rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn12) ).
fof(f657,axiom,
rdn_translate(n20,rdn_pos(rdn(rdnn(n0),rdnn(n2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn20) ).
fof(f667,axiom,
rdn_translate(n30,rdn_pos(rdn(rdnn(n0),rdnn(n3)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn30) ).
fof(f722,axiom,
rdn_translate(n85,rdn_pos(rdn(rdnn(n5),rdnn(n8)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn85) ).
fof(f737,axiom,
rdn_translate(n100,rdn_pos(rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn100) ).
fof(f893,axiom,
rdn_non_zero_digit(rdnn(n1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit1) ).
fof(f894,axiom,
rdn_non_zero_digit(rdnn(n2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit2) ).
fof(f903,axiom,
rdn_positive_less(rdnn(n1),rdnn(n2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less12) ).
fof(f904,axiom,
rdn_positive_less(rdnn(n2),rdnn(n3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less23) ).
fof(f911,axiom,
! [X0,X1,X2] :
( ( rdn_positive_less(rdnn(X0),rdnn(X1))
& rdn_positive_less(rdnn(X1),rdnn(X2)) )
=> rdn_positive_less(rdnn(X0),rdnn(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less_transitivity) ).
fof(f912,axiom,
! [X0,X1,X2,X3] :
( rdn_positive_less(X1,X3)
=> rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less_multi_digit_high) ).
fof(f914,axiom,
! [X0,X1,X2] :
( rdn_non_zero(X2)
=> rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_extra_digits_positive_less) ).
fof(f915,axiom,
! [X0] :
( rdn_non_zero_digit(rdnn(X0))
=> rdn_non_zero(rdnn(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_non_zero_by_digit) ).
fof(f917,axiom,
! [X0,X1,X2,X3] :
( ( rdn_translate(X0,rdn_pos(X2))
& rdn_translate(X1,rdn_pos(X3))
& rdn_positive_less(X2,X3) )
=> less(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_entry_point_pos_pos) ).
fof(f923,conjecture,
~ accept_team(countryamedicalorganization,countryafirstaidorganization,sunsetpoint,n6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query_8) ).
fof(f924,negated_conjecture,
~ ~ accept_team(countryamedicalorganization,countryafirstaidorganization,sunsetpoint,n6),
inference(negated_conjecture,[status(cth)],[f923]) ).
fof(f925,plain,
accept_team(countryamedicalorganization,countryafirstaidorganization,sunsetpoint,n6),
inference(flattening,[],[f924]) ).
fof(f932,plain,
! [X0,X1,X2,X3] :
( accept_population(X0,X3,X2)
| ~ accept_population(X0,X3,X1)
| ~ less(X2,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f933,plain,
! [X0,X1,X2,X3] :
( accept_population(X0,X3,X2)
| ~ accept_population(X0,X3,X1)
| ~ less(X2,X1) ),
inference(flattening,[],[f932]) ).
fof(f938,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2)) ),
inference(ennf_transformation,[],[f911]) ).
fof(f939,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2)) ),
inference(flattening,[],[f938]) ).
fof(f940,plain,
! [X0,X1,X2,X3] :
( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3))
| ~ rdn_positive_less(X1,X3) ),
inference(ennf_transformation,[],[f912]) ).
fof(f943,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2))
| ~ rdn_non_zero(X2) ),
inference(ennf_transformation,[],[f914]) ).
fof(f944,plain,
! [X0] :
( rdn_non_zero(rdnn(X0))
| ~ rdn_non_zero_digit(rdnn(X0)) ),
inference(ennf_transformation,[],[f915]) ).
fof(f946,plain,
! [X0,X1,X2,X3] :
( less(X0,X1)
| ~ rdn_translate(X0,rdn_pos(X2))
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_positive_less(X2,X3) ),
inference(ennf_transformation,[],[f917]) ).
fof(f947,plain,
! [X0,X1,X2,X3] :
( less(X0,X1)
| ~ rdn_translate(X0,rdn_pos(X2))
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_positive_less(X2,X3) ),
inference(flattening,[],[f946]) ).
fof(f952,plain,
! [X0,X1,X2,X3] :
( ( accept_team(X0,X3,X1,X2)
| ~ accept_city(X0,X1)
| ~ accept_leader(X0,X3)
| ~ accept_number(X0,X2) )
& ( ( accept_city(X0,X1)
& accept_leader(X0,X3)
& accept_number(X0,X2) )
| ~ accept_team(X0,X3,X1,X2) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f953,plain,
! [X0,X1,X2,X3] :
( ( accept_team(X0,X3,X1,X2)
| ~ accept_city(X0,X1)
| ~ accept_leader(X0,X3)
| ~ accept_number(X0,X2) )
& ( ( accept_city(X0,X1)
& accept_leader(X0,X3)
& accept_number(X0,X2) )
| ~ accept_team(X0,X3,X1,X2) ) ),
inference(flattening,[],[f952]) ).
fof(f966,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n12)
& accept_population(X0,christian,n3)
& accept_population(X0,muslim,n0)
& accept_population(X0,native,n85)
& accept_population(X0,other,n0) )
| ~ accept_city(X0,coastvillage) )
& ( accept_city(X0,coastvillage)
| ~ accept_population(X0,atheist,n12)
| ~ accept_population(X0,christian,n3)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,native,n85)
| ~ accept_population(X0,other,n0) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f967,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n12)
& accept_population(X0,christian,n3)
& accept_population(X0,muslim,n0)
& accept_population(X0,native,n85)
& accept_population(X0,other,n0) )
| ~ accept_city(X0,coastvillage) )
& ( accept_city(X0,coastvillage)
| ~ accept_population(X0,atheist,n12)
| ~ accept_population(X0,christian,n3)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,native,n85)
| ~ accept_population(X0,other,n0) ) ),
inference(flattening,[],[f966]) ).
fof(f968,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n0)
& accept_population(X0,christian,n0)
& accept_population(X0,muslim,n0)
& accept_population(X0,native,n100)
& accept_population(X0,other,n0) )
| ~ accept_city(X0,sunsetpoint) )
& ( accept_city(X0,sunsetpoint)
| ~ accept_population(X0,atheist,n0)
| ~ accept_population(X0,christian,n0)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,native,n100)
| ~ accept_population(X0,other,n0) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f969,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n0)
& accept_population(X0,christian,n0)
& accept_population(X0,muslim,n0)
& accept_population(X0,native,n100)
& accept_population(X0,other,n0) )
| ~ accept_city(X0,sunsetpoint) )
& ( accept_city(X0,sunsetpoint)
| ~ accept_population(X0,atheist,n0)
| ~ accept_population(X0,christian,n0)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,native,n100)
| ~ accept_population(X0,other,n0) ) ),
inference(flattening,[],[f968]) ).
fof(f984,plain,
! [X2,X3,X0,X1] :
( ~ accept_team(X0,X3,X1,X2)
| accept_city(X0,X1) ),
inference(cnf_transformation,[],[f953]) ).
fof(f987,plain,
! [X2,X3,X0,X1] :
( ~ accept_population(X0,X3,X1)
| accept_population(X0,X3,X2)
| ~ less(X2,X1) ),
inference(cnf_transformation,[],[f933]) ).
fof(f1028,plain,
! [X0] :
( ~ accept_population(X0,other,n0)
| ~ accept_population(X0,atheist,n12)
| ~ accept_population(X0,christian,n3)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,native,n85)
| accept_city(X0,coastvillage) ),
inference(cnf_transformation,[],[f967]) ).
fof(f1036,plain,
! [X0] :
( accept_population(X0,native,n100)
| ~ accept_city(X0,sunsetpoint) ),
inference(cnf_transformation,[],[f969]) ).
fof(f1037,plain,
! [X0] :
( accept_population(X0,muslim,n0)
| ~ accept_city(X0,sunsetpoint) ),
inference(cnf_transformation,[],[f969]) ).
fof(f1331,plain,
~ accept_city(countryamedicalorganization,coastvillage),
inference(cnf_transformation,[],[f282]) ).
fof(f1336,plain,
accept_population(countryamedicalorganization,atheist,n30),
inference(cnf_transformation,[],[f287]) ).
fof(f1529,plain,
accept_population(countryamedicalorganization,christian,n20),
inference(cnf_transformation,[],[f480]) ).
fof(f1538,plain,
accept_population(countryamedicalorganization,other,n0),
inference(cnf_transformation,[],[f489]) ).
fof(f1689,plain,
rdn_translate(n3,rdn_pos(rdnn(n3))),
inference(cnf_transformation,[],[f640]) ).
fof(f1698,plain,
rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
inference(cnf_transformation,[],[f649]) ).
fof(f1706,plain,
rdn_translate(n20,rdn_pos(rdn(rdnn(n0),rdnn(n2)))),
inference(cnf_transformation,[],[f657]) ).
fof(f1716,plain,
rdn_translate(n30,rdn_pos(rdn(rdnn(n0),rdnn(n3)))),
inference(cnf_transformation,[],[f667]) ).
fof(f1771,plain,
rdn_translate(n85,rdn_pos(rdn(rdnn(n5),rdnn(n8)))),
inference(cnf_transformation,[],[f722]) ).
fof(f1786,plain,
rdn_translate(n100,rdn_pos(rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1))))),
inference(cnf_transformation,[],[f737]) ).
fof(f1942,plain,
rdn_non_zero_digit(rdnn(n1)),
inference(cnf_transformation,[],[f893]) ).
fof(f1943,plain,
rdn_non_zero_digit(rdnn(n2)),
inference(cnf_transformation,[],[f894]) ).
fof(f1952,plain,
rdn_positive_less(rdnn(n1),rdnn(n2)),
inference(cnf_transformation,[],[f903]) ).
fof(f1953,plain,
rdn_positive_less(rdnn(n2),rdnn(n3)),
inference(cnf_transformation,[],[f904]) ).
fof(f1960,plain,
! [X2,X0,X1] :
( ~ rdn_positive_less(rdnn(X1),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1))
| rdn_positive_less(rdnn(X0),rdnn(X2)) ),
inference(cnf_transformation,[],[f939]) ).
fof(f1961,plain,
! [X2,X3,X0,X1] :
( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3))
| ~ rdn_positive_less(X1,X3) ),
inference(cnf_transformation,[],[f940]) ).
fof(f1963,plain,
! [X2,X0,X1] :
( rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2))
| ~ rdn_non_zero(X2) ),
inference(cnf_transformation,[],[f943]) ).
fof(f1964,plain,
! [X0] :
( ~ rdn_non_zero_digit(rdnn(X0))
| rdn_non_zero(rdnn(X0)) ),
inference(cnf_transformation,[],[f944]) ).
fof(f1966,plain,
! [X2,X3,X0,X1] :
( ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_translate(X0,rdn_pos(X2))
| less(X0,X1)
| ~ rdn_positive_less(X2,X3) ),
inference(cnf_transformation,[],[f947]) ).
fof(f1972,plain,
accept_team(countryamedicalorganization,countryafirstaidorganization,sunsetpoint,n6),
inference(cnf_transformation,[],[f925]) ).
fof(f1974,plain,
accept_city(countryamedicalorganization,sunsetpoint),
inference(resolution,[],[f984,f1972]) ).
fof(f1987,plain,
rdn_non_zero(rdnn(n2)),
inference(resolution,[],[f1964,f1943]) ).
fof(f1988,plain,
! [X0,X1] :
( ~ rdn_positive_less(X1,rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1))))
| less(X0,n100)
| ~ rdn_translate(X0,rdn_pos(X1)) ),
inference(resolution,[],[f1786,f1966]) ).
fof(f1992,plain,
( ~ accept_population(countryamedicalorganization,atheist,n12)
| ~ accept_population(countryamedicalorganization,christian,n3)
| ~ accept_population(countryamedicalorganization,muslim,n0)
| ~ accept_population(countryamedicalorganization,native,n85)
| accept_city(countryamedicalorganization,coastvillage) ),
inference(resolution,[],[f1028,f1538]) ).
fof(f1993,plain,
( ~ accept_population(countryamedicalorganization,atheist,n12)
| ~ accept_population(countryamedicalorganization,christian,n3)
| ~ accept_population(countryamedicalorganization,muslim,n0)
| ~ accept_population(countryamedicalorganization,native,n85) ),
inference(forward_subsumption_resolution,[],[f1992,f1331]) ).
fof(f1996,definition,
( spl0_1
<=> accept_population(countryamedicalorganization,native,n85) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f1998,plain,
( ~ accept_population(countryamedicalorganization,native,n85)
| spl0_1 ),
inference(avatar_component_clause,[],[f1996]) ).
fof(f2000,definition,
( spl0_2
<=> accept_population(countryamedicalorganization,muslim,n0) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f2002,plain,
( ~ accept_population(countryamedicalorganization,muslim,n0)
| spl0_2 ),
inference(avatar_component_clause,[],[f2000]) ).
fof(f2004,definition,
( spl0_3
<=> accept_population(countryamedicalorganization,christian,n3) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f2006,plain,
( ~ accept_population(countryamedicalorganization,christian,n3)
| spl0_3 ),
inference(avatar_component_clause,[],[f2004]) ).
fof(f2008,definition,
( spl0_4
<=> accept_population(countryamedicalorganization,atheist,n12) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f2010,plain,
( ~ accept_population(countryamedicalorganization,atheist,n12)
| spl0_4 ),
inference(avatar_component_clause,[],[f2008]) ).
fof(f2011,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f1993,f2008,f2004,f2000,f1996]) ).
fof(f2025,plain,
! [X2,X0,X1] :
( ~ rdn_positive_less(X0,rdn(rdnn(n0),rdnn(n1)))
| less(X1,n100)
| ~ rdn_translate(X1,rdn_pos(rdn(rdnn(X2),X0))) ),
inference(resolution,[],[f1961,f1988]) ).
fof(f2058,plain,
! [X0,X1] :
( accept_population(X0,native,X1)
| ~ less(X1,n100)
| ~ accept_city(X0,sunsetpoint) ),
inference(resolution,[],[f987,f1036]) ).
fof(f2060,plain,
! [X0] :
( accept_population(countryamedicalorganization,atheist,X0)
| ~ less(X0,n30) ),
inference(resolution,[],[f987,f1336]) ).
fof(f2065,plain,
! [X0] :
( accept_population(countryamedicalorganization,christian,X0)
| ~ less(X0,n20) ),
inference(resolution,[],[f987,f1529]) ).
fof(f2082,plain,
rdn_non_zero(rdnn(n1)),
inference(resolution,[],[f1942,f1964]) ).
fof(f2091,plain,
( ~ less(n85,n100)
| ~ accept_city(countryamedicalorganization,sunsetpoint)
| spl0_1 ),
inference(resolution,[],[f2058,f1998]) ).
fof(f2094,plain,
( ~ less(n85,n100)
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f2091,f1974]) ).
fof(f2099,definition,
( spl0_8
<=> less(n85,n100) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f2101,plain,
( ~ less(n85,n100)
| spl0_8 ),
inference(avatar_component_clause,[],[f2099]) ).
fof(f2111,plain,
( ~ spl0_8
| spl0_1 ),
inference(avatar_split_clause,[],[f2094,f1996,f2099]) ).
fof(f2115,plain,
! [X0] :
( ~ rdn_positive_less(rdnn(X0),rdnn(n2))
| rdn_positive_less(rdnn(X0),rdnn(n3)) ),
inference(resolution,[],[f1953,f1960]) ).
fof(f2116,plain,
rdn_positive_less(rdnn(n1),rdnn(n3)),
inference(resolution,[],[f2115,f1952]) ).
fof(f2165,plain,
! [X0,X1] :
( ~ rdn_positive_less(X1,rdn(rdnn(n0),rdnn(n2)))
| less(X0,n20)
| ~ rdn_translate(X0,rdn_pos(X1)) ),
inference(resolution,[],[f1706,f1966]) ).
fof(f2167,plain,
! [X0,X1] :
( less(X0,n20)
| ~ rdn_translate(X0,rdn_pos(rdnn(X1)))
| ~ rdn_non_zero(rdnn(n2)) ),
inference(resolution,[],[f2165,f1963]) ).
fof(f2171,plain,
! [X0,X1] :
( ~ rdn_translate(X0,rdn_pos(rdnn(X1)))
| less(X0,n20) ),
inference(forward_subsumption_resolution,[],[f2167,f1987]) ).
fof(f2186,plain,
less(n3,n20),
inference(resolution,[],[f2171,f1689]) ).
fof(f2191,plain,
! [X2,X0,X1] :
( less(X0,n100)
| ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(X2))))
| ~ rdn_non_zero(rdnn(n1)) ),
inference(resolution,[],[f2025,f1963]) ).
fof(f2195,plain,
! [X2,X0,X1] :
( ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(X2))))
| less(X0,n100) ),
inference(forward_subsumption_resolution,[],[f2191,f2082]) ).
fof(f2209,plain,
! [X0,X1] :
( ~ rdn_positive_less(X1,rdn(rdnn(n0),rdnn(n3)))
| less(X0,n30)
| ~ rdn_translate(X0,rdn_pos(X1)) ),
inference(resolution,[],[f1716,f1966]) ).
fof(f2212,plain,
! [X2,X0,X1] :
( ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),X2)))
| less(X0,n30)
| ~ rdn_positive_less(X2,rdnn(n3)) ),
inference(resolution,[],[f2209,f1961]) ).
fof(f2265,plain,
less(n85,n100),
inference(resolution,[],[f1771,f2195]) ).
fof(f2268,plain,
( $false
| spl0_8 ),
inference(forward_subsumption_resolution,[],[f2265,f2101]) ).
fof(f2269,plain,
spl0_8,
inference(avatar_contradiction_clause,[],[f2268]) ).
fof(f2279,plain,
( ~ less(n3,n20)
| spl0_3 ),
inference(resolution,[],[f2006,f2065]) ).
fof(f2285,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f2279,f2186]) ).
fof(f2286,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f2285]) ).
fof(f2288,plain,
( ~ less(n12,n30)
| spl0_4 ),
inference(resolution,[],[f2010,f2060]) ).
fof(f2295,plain,
( ~ accept_city(countryamedicalorganization,sunsetpoint)
| spl0_2 ),
inference(resolution,[],[f2002,f1037]) ).
fof(f2297,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f2295,f1974]) ).
fof(f2298,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f2297]) ).
fof(f2880,plain,
( less(n12,n30)
| ~ rdn_positive_less(rdnn(n1),rdnn(n3)) ),
inference(resolution,[],[f1698,f2212]) ).
fof(f2907,plain,
( ~ rdn_positive_less(rdnn(n1),rdnn(n3))
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f2880,f2288]) ).
fof(f2910,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f2907,f2116]) ).
fof(f2911,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f2910]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f2011]) ).
cnf(s5,plain,
( spl0_1
| ~ spl0_8 ),
inference(sat_conversion,[],[f2111]) ).
cnf(s7,plain,
spl0_8,
inference(sat_conversion,[],[f2269]) ).
cnf(s10,plain,
spl0_3,
inference(sat_conversion,[],[f2286]) ).
cnf(s11,plain,
spl0_2,
inference(sat_conversion,[],[f2298]) ).
cnf(s55,plain,
spl0_4,
inference(sat_conversion,[],[f2911]) ).
cnf(s60,plain,
spl0_1,
inference(rat,[],[s5,s7]) ).
cnf(s64,plain,
$false,
inference(rat,[],[s1,s55,s10,s11,s60]) ).
fof(f2912,plain,
$false,
inference(avatar_sat_refutation,[],[s64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT008+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n016.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 19:13:49 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 7.35/1.89 % (3906599)Detected formulas, will run a generic FOF schedule.
% 7.35/1.89 % (3906608)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=710111843:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.35/1.89 % (3906608)Refutation not found, incomplete strategy
% 7.35/1.89 % (3906608)------------------------------
% 7.35/1.89 % (3906608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.35/1.89 % (3906608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/1.89 % (3906608)CaDiCaL version: 2.1.3
% 7.35/1.89 % (3906608)Termination reason: Refutation not found, incomplete strategy
% 7.35/1.89 % (3906608)Time elapsed: 0.005 s
% 7.35/1.89 % (3906608)Peak memory usage: 88 MB
% 7.35/1.89 % (3906608)Instructions burned: 16 (million)
% 7.35/1.89 % (3906606)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=1604292361:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.35/1.89 % (3906607)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3297650638:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.35/1.89 % (3906609)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1139507914:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.35/1.89 % (3906610)dis-21_1_sil=8000:lcm=predicate:random_seed=2704103416: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)
% 7.35/1.89 % (3906604)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=4183159572:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.35/1.89 % (3906605)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=3368437887:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.35/1.89 % (3906607)Refutation not found, incomplete strategy
% 7.35/1.89 % (3906607)------------------------------
% 7.35/1.89 % (3906607)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.35/1.89 % (3906607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/1.89 % (3906607)CaDiCaL version: 2.1.3
% 7.35/1.89 % (3906607)Termination reason: Refutation not found, incomplete strategy
% 7.35/1.89 % (3906607)Time elapsed: 0.003 s
% 7.35/1.89 % (3906607)Peak memory usage: 88 MB
% 7.35/1.89 % (3906607)Instructions burned: 3 (million)
% 7.35/1.89 % (3906610)Instruction limit reached!
% 7.35/1.89 % (3906610)------------------------------
% 7.35/1.89 % (3906610)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.35/1.89 % (3906610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/1.89 % (3906610)CaDiCaL version: 2.1.3
% 7.35/1.89 % (3906610)Termination reason: Instruction limit
% 7.35/1.89 % (3906610)Termination phase: Saturation
% 7.35/1.89 % (3906610)Time elapsed: 0.062 s
% 7.35/1.89 % (3906610)Peak memory usage: 90 MB
% 7.35/1.89 % (3906610)Instructions burned: 129 (million)
% 7.35/1.89 % (3906609)Instruction limit reached!
% 7.35/1.89 % (3906609)------------------------------
% 7.35/1.89 % (3906609)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.35/1.89 % (3906609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/1.89 % (3906609)CaDiCaL version: 2.1.3
% 7.35/1.89 % (3906609)Termination reason: Instruction limit
% 7.35/1.89 % (3906609)Termination phase: Saturation
% 7.35/1.89 % (3906609)Time elapsed: 0.081 s
% 7.35/1.89 % (3906609)Peak memory usage: 90 MB
% 7.35/1.89 % (3906609)Instructions burned: 139 (million)
% 7.35/1.89 % (3906608)------------------------------
% 7.35/1.89 % (3906608)------------------------------
% 7.35/1.89 % (3906619)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3852697040:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.35/1.89 % (3906618)lrs+10_1_sil=8000:sp=occurrence:random_seed=3386786951:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 7.35/1.89 % (3906619)Refutation not found, incomplete strategy
% 7.35/1.89 % (3906619)------------------------------
% 7.35/1.89 % (3906619)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.35/1.89 % (3906619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.84/1.99 % (3906619)CaDiCaL version: 2.1.3
% 7.84/1.99 % (3906619)Termination reason: Refutation not found, incomplete strategy
% 7.84/1.99 % (3906619)Time elapsed: 0.005 s
% 7.84/1.99 % (3906619)Peak memory usage: 88 MB
% 7.84/1.99 % (3906619)Instructions burned: 8 (million)
% 7.84/1.99 % (3906620)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4072542492:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 7.84/1.99 % (3906620)Refutation not found, incomplete strategy
% 7.84/1.99 % (3906620)------------------------------
% 7.84/1.99 % (3906620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.84/1.99 % (3906620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.84/1.99 % (3906620)CaDiCaL version: 2.1.3
% 7.84/1.99 % (3906620)Termination reason: Refutation not found, incomplete strategy
% 7.84/1.99 % (3906620)Time elapsed: 0.001 s
% 7.84/1.99 % (3906620)Peak memory usage: 88 MB
% 7.84/1.99 % (3906620)Instructions burned: 3 (million)
% 7.84/1.99 % (3906618)Refutation not found, incomplete strategy
% 7.84/1.99 % (3906618)------------------------------
% 7.84/1.99 % (3906618)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.84/1.99 % (3906618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.84/1.99 % (3906618)CaDiCaL version: 2.1.3
% 7.84/1.99 % (3906618)Termination reason: Refutation not found, incomplete strategy
% 7.84/1.99 % (3906618)Time elapsed: 0.010 s
% 7.84/1.99 % (3906618)Peak memory usage: 88 MB
% 7.84/1.99 % (3906618)Instructions burned: 16 (million)
% 7.84/1.99 % (3906607)------------------------------
% 7.84/1.99 % (3906607)------------------------------
% 7.84/1.99 % (3906620)------------------------------
% 7.84/1.99 % (3906620)------------------------------
% 7.84/1.99 % (3906624)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=1516749499:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 7.84/1.99 % (3906619)------------------------------
% 7.84/1.99 % (3906619)------------------------------
% 7.84/1.99 % (3906618)------------------------------
% 7.84/1.99 % (3906618)------------------------------
% 7.84/1.99 % (3906625)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1217061703:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 7.84/1.99 % (3906625)Refutation not found, incomplete strategy
% 7.84/1.99 % (3906625)------------------------------
% 7.84/1.99 % (3906625)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.84/1.99 % (3906625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.84/1.99 % (3906625)CaDiCaL version: 2.1.3
% 7.84/1.99 % (3906625)Termination reason: Refutation not found, incomplete strategy
% 7.84/1.99 % (3906625)Time elapsed: 0.004 s
% 7.84/1.99 % (3906625)Peak memory usage: 88 MB
% 7.84/1.99 % (3906625)Instructions burned: 13 (million)
% 7.84/1.99 % (3906624)Instruction limit reached!
% 7.84/1.99 % (3906624)------------------------------
% 7.84/1.99 % (3906624)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.84/1.99 % (3906624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.84/1.99 % (3906624)CaDiCaL version: 2.1.3
% 7.84/1.99 % (3906624)Termination reason: Instruction limit
% 7.84/1.99 % (3906624)Termination phase: Saturation
% 7.84/1.99 % (3906624)Time elapsed: 0.129 s
% 7.84/1.99 % (3906624)Peak memory usage: 93 MB
% 7.84/1.99 % (3906624)Instructions burned: 250 (million)
% 7.84/1.99 % (3906606)Refutation not found, incomplete strategy
% 7.84/1.99 % (3906606)------------------------------
% 7.84/1.99 % (3906606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.84/1.99 % (3906606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.84/1.99 % (3906606)CaDiCaL version: 2.1.3
% 7.84/1.99 % (3906606)Termination reason: Refutation not found, incomplete strategy
% 7.84/1.99 % (3906606)Time elapsed: 0.607 s
% 7.84/1.99 % (3906606)Peak memory usage: 128 MB
% 7.84/1.99 % (3906606)Instructions burned: 895 (million)
% 7.84/1.99 % (3906628)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2740793500:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 7.84/1.99 % (3906627)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=339834156:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 7.84/1.99 % (3906628)Refutation not found, incomplete strategy
% 7.84/1.99 % (3906628)------------------------------
% 7.84/1.99 % (3906628)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.84/1.99 % (3906628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.84/1.99 % (3906628)CaDiCaL version: 2.1.3
% 7.84/1.99 % (3906628)Termination reason: Refutation not found, incomplete strategy
% 7.84/1.99 % (3906628)Time elapsed: 0.007 s
% 7.84/1.99 % (3906628)Peak memory usage: 89 MB
% 7.84/1.99 % (3906628)Instructions burned: 10 (million)
% 7.84/1.99 % (3906625)------------------------------
% 7.84/1.99 % (3906625)------------------------------
% 7.84/1.99 % (3906630)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2425983353:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 7.84/1.99 % (3906605)Refutation not found, incomplete strategy
% 7.84/1.99 % (3906605)------------------------------
% 7.84/1.99 % (3906605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.84/1.99 % (3906605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.84/1.99 % (3906605)CaDiCaL version: 2.1.3
% 7.84/1.99 % (3906605)Termination reason: Refutation not found, incomplete strategy
% 7.84/1.99 % (3906605)Time elapsed: 0.753 s
% 7.84/1.99 % (3906605)Peak memory usage: 131 MB
% 7.84/1.99 % (3906605)Instructions burned: 1118 (million)
% 7.84/1.99 % (3906633)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1132334700:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 7.84/1.99 % (3906630)Instruction limit reached!
% 7.84/1.99 % (3906630)------------------------------
% 7.84/1.99 % (3906630)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.84/1.99 % (3906630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.84/1.99 % (3906630)CaDiCaL version: 2.1.3
% 7.84/1.99 % (3906630)Termination reason: Instruction limit
% 7.84/1.99 % (3906630)Termination phase: Saturation
% 7.84/1.99 % (3906630)Time elapsed: 0.062 s
% 7.84/1.99 % (3906630)Peak memory usage: 89 MB
% 7.84/1.99 % (3906630)Instructions burned: 127 (million)
% 7.84/1.99 % (3906633)Refutation not found, incomplete strategy
% 7.84/1.99 % (3906633)------------------------------
% 7.84/1.99 % (3906633)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.84/1.99 % (3906633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.84/1.99 % (3906633)CaDiCaL version: 2.1.3
% 7.84/1.99 % (3906633)Termination reason: Refutation not found, incomplete strategy
% 7.84/1.99 % (3906633)Time elapsed: 0.014 s
% 7.84/1.99 % (3906633)Peak memory usage: 90 MB
% 7.84/1.99 % (3906633)Instructions burned: 47 (million)
% 7.84/1.99 % (3906604)First to succeed.
% 7.84/1.99 % (3906604)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3906599"
% 7.84/1.99 % (3906606)------------------------------
% 7.84/1.99 % (3906606)------------------------------
% 7.84/1.99 % (3906628)------------------------------
% 7.84/1.99 % (3906628)------------------------------
% 7.84/1.99 % (3906633)------------------------------
% 7.84/1.99 % (3906633)------------------------------
% 7.84/1.99 % (3906636)lrs+10_1_sil=8000:sp=occurrence:random_seed=2264647380:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 7.84/1.99 % (3906636)Refutation not found, incomplete strategy
% 7.84/1.99 % (3906636)------------------------------
% 7.84/1.99 % (3906636)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.84/1.99 % (3906636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.84/1.99 % (3906636)CaDiCaL version: 2.1.3
% 7.84/1.99 % (3906636)Termination reason: Refutation not found, incomplete strategy
% 7.84/1.99 % (3906636)Time elapsed: 0.011 s
% 7.84/1.99 % (3906636)Peak memory usage: 89 MB
% 7.84/1.99 % (3906636)Instructions burned: 19 (million)
% 7.84/1.99 % (3906605)------------------------------
% 7.84/1.99 % (3906605)------------------------------
% 7.84/1.99 % (3906637)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3309506366:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 7.84/1.99 % (3906637)Refutation not found, incomplete strategy
% 7.84/1.99 % (3906637)------------------------------
% 7.84/1.99 % (3906637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.84/1.99 % (3906637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.84/1.99 % (3906637)CaDiCaL version: 2.1.3
% 7.84/1.99 % (3906637)Termination reason: Refutation not found, incomplete strategy
% 7.84/1.99 % (3906637)Time elapsed: 0.003 s
% 7.84/1.99 % (3906637)Peak memory usage: 88 MB
% 7.84/1.99 % (3906637)Instructions burned: 3 (million)
% 7.84/1.99 % (3906638)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4140230780:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 7.84/1.99 % (3906640)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=567750585:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 7.84/1.99 % (3906640)Instruction limit reached!
% 7.84/1.99 % (3906640)------------------------------
% 7.84/1.99 % (3906640)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.84/1.99 % (3906640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.84/1.99 % (3906640)CaDiCaL version: 2.1.3
% 7.84/1.99 % (3906640)Termination reason: Instruction limit
% 7.84/1.99 % (3906640)Termination phase: Saturation
% 7.84/1.99 % (3906640)Time elapsed: 0.036 s
% 7.84/1.99 % (3906640)Peak memory usage: 90 MB
% 7.84/1.99 % (3906640)Instructions burned: 137 (million)
% 7.84/1.99 % (3906604)Refutation found. Thanks to Tanya!
% 7.84/1.99 % SZS status Theorem for theBenchmark
% 7.84/1.99 % SZS output start Proof for theBenchmark
% See solution above
% 9.70/2.09 % (3906604)------------------------------
% 9.70/2.09 % (3906604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.70/2.09 % (3906604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.70/2.09 % (3906604)CaDiCaL version: 2.1.3
% 9.70/2.09 % (3906604)Termination reason: Refutation
% 9.70/2.09 % (3906604)Time elapsed: 0.860 s
% 9.70/2.09 % (3906604)Peak memory usage: 138 MB
% 9.70/2.09 % (3906604)Instructions burned: 1312 (million)
% 9.70/2.09 % (3906604)------------------------------
% 9.70/2.09 % (3906604)------------------------------
% 9.70/2.09 % (3906599)Success in time 1.314 s
% 9.70/2.09 % Vampire exiting
%------------------------------------------------------------------------------