%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : AGT021+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 09:06:37 AM UTC 2026
% Result : Theorem 7.64s 2.02s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 26
% Syntax : Number of formulae : 113 ( 46 unt; 3 def)
% Number of atoms : 295 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 316 ( 134 ~; 124 |; 46 &)
% ( 6 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 4 prp; 0-3 aty)
% Number of functors : 25 ( 25 usr; 22 con; 0-2 aty)
% Number of variables : 122 ( 0 sgn 120 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( accept_population(X0,X3,X1)
& less(X2,X1) )
=> accept_population(X0,X3,X2) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',a2_8) ).
fof(f20,axiom,
! [X0] :
( ( accept_population(X0,atheist,n30)
& accept_population(X0,christian,n0)
& accept_population(X0,muslim,n65)
& accept_population(X0,native,n0)
& accept_population(X0,other,n5) )
<=> accept_city(X0,townc) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_13) ).
fof(f282,axiom,
~ accept_city(countryamedicalorganization,coastvillage),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',deduced_13) ).
fof(f289,axiom,
accept_city(countryamedicalorganization,townc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',deduced_20) ).
fof(f492,axiom,
accept_population(countryamedicalorganization,christian,n24),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',deduced_223) ).
fof(f640,axiom,
rdn_translate(n3,rdn_pos(rdnn(n3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn3) ).
fof(f649,axiom,
rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn12) ).
fof(f661,axiom,
rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn24) ).
fof(f667,axiom,
rdn_translate(n30,rdn_pos(rdn(rdnn(n0),rdnn(n3)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn30) ).
fof(f722,axiom,
rdn_translate(n85,rdn_pos(rdn(rdnn(n5),rdnn(n8)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn85) ).
fof(f737,axiom,
rdn_translate(n100,rdn_pos(rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn100) ).
fof(f893,axiom,
rdn_non_zero_digit(rdnn(n1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit1) ).
fof(f894,axiom,
rdn_non_zero_digit(rdnn(n2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit2) ).
fof(f903,axiom,
rdn_positive_less(rdnn(n1),rdnn(n2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less12) ).
fof(f904,axiom,
rdn_positive_less(rdnn(n2),rdnn(n3)),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',less_entry_point_pos_pos) ).
fof(f923,conjecture,
? [X0] : ~ accept_city(X0,sunsetpoint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_21) ).
fof(f924,negated_conjecture,
~ ? [X0] : ~ accept_city(X0,sunsetpoint),
inference(negated_conjecture,[status(cth)],[f923]) ).
fof(f931,plain,
! [X0,X1,X2,X3] :
( accept_population(X0,X3,X2)
| ~ accept_population(X0,X3,X1)
| ~ less(X2,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f932,plain,
! [X0,X1,X2,X3] :
( accept_population(X0,X3,X2)
| ~ accept_population(X0,X3,X1)
| ~ less(X2,X1) ),
inference(flattening,[],[f931]) ).
fof(f937,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(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(flattening,[],[f937]) ).
fof(f939,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(f942,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2))
| ~ rdn_non_zero(X2) ),
inference(ennf_transformation,[],[f914]) ).
fof(f943,plain,
! [X0] :
( rdn_non_zero(rdnn(X0))
| ~ rdn_non_zero_digit(rdnn(X0)) ),
inference(ennf_transformation,[],[f915]) ).
fof(f945,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(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(flattening,[],[f945]) ).
fof(f951,plain,
! [X0] : accept_city(X0,sunsetpoint),
inference(ennf_transformation,[],[f924]) ).
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(f978,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n30)
& accept_population(X0,christian,n0)
& accept_population(X0,muslim,n65)
& accept_population(X0,native,n0)
& accept_population(X0,other,n5) )
| ~ accept_city(X0,townc) )
& ( accept_city(X0,townc)
| ~ accept_population(X0,atheist,n30)
| ~ accept_population(X0,christian,n0)
| ~ accept_population(X0,muslim,n65)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,other,n5) ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f979,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n30)
& accept_population(X0,christian,n0)
& accept_population(X0,muslim,n65)
& accept_population(X0,native,n0)
& accept_population(X0,other,n5) )
| ~ accept_city(X0,townc) )
& ( accept_city(X0,townc)
| ~ accept_population(X0,atheist,n30)
| ~ accept_population(X0,christian,n0)
| ~ accept_population(X0,muslim,n65)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,other,n5) ) ),
inference(flattening,[],[f978]) ).
fof(f987,plain,
! [X2,X3,X0,X1] :
( ~ accept_population(X0,X3,X1)
| accept_population(X0,X3,X2)
| ~ less(X2,X1) ),
inference(cnf_transformation,[],[f932]) ).
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(f1035,plain,
! [X0] :
( accept_population(X0,other,n0)
| ~ accept_city(X0,sunsetpoint) ),
inference(cnf_transformation,[],[f969]) ).
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(f1069,plain,
! [X0] :
( accept_population(X0,atheist,n30)
| ~ accept_city(X0,townc) ),
inference(cnf_transformation,[],[f979]) ).
fof(f1331,plain,
~ accept_city(countryamedicalorganization,coastvillage),
inference(cnf_transformation,[],[f282]) ).
fof(f1338,plain,
accept_city(countryamedicalorganization,townc),
inference(cnf_transformation,[],[f289]) ).
fof(f1541,plain,
accept_population(countryamedicalorganization,christian,n24),
inference(cnf_transformation,[],[f492]) ).
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(f1710,plain,
rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
inference(cnf_transformation,[],[f661]) ).
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,[],[f938]) ).
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,[],[f939]) ).
fof(f1963,plain,
! [X2,X0,X1] :
( rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2))
| ~ rdn_non_zero(X2) ),
inference(cnf_transformation,[],[f942]) ).
fof(f1964,plain,
! [X0] :
( ~ rdn_non_zero_digit(rdnn(X0))
| rdn_non_zero(rdnn(X0)) ),
inference(cnf_transformation,[],[f943]) ).
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,[],[f946]) ).
fof(f1972,plain,
! [X0] : accept_city(X0,sunsetpoint),
inference(cnf_transformation,[],[f951]) ).
fof(f1974,plain,
! [X0] : accept_population(X0,other,n0),
inference(forward_subsumption_resolution,[],[f1035,f1972]) ).
fof(f1975,plain,
! [X0] : accept_population(X0,native,n100),
inference(forward_subsumption_resolution,[],[f1036,f1972]) ).
fof(f1976,plain,
! [X0] : accept_population(X0,muslim,n0),
inference(forward_subsumption_resolution,[],[f1037,f1972]) ).
fof(f1981,plain,
! [X0] :
( ~ 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(resolution,[],[f1974,f1028]) ).
fof(f1983,plain,
! [X0] :
( ~ accept_population(X0,native,n85)
| ~ accept_population(X0,christian,n3)
| ~ accept_population(X0,atheist,n12)
| accept_city(X0,coastvillage) ),
inference(forward_subsumption_resolution,[],[f1981,f1976]) ).
fof(f1984,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(f1985,plain,
rdn_non_zero(rdnn(n2)),
inference(resolution,[],[f1964,f1943]) ).
fof(f2010,plain,
! [X0,X1] :
( accept_population(X0,native,X1)
| ~ less(X1,n100) ),
inference(resolution,[],[f987,f1975]) ).
fof(f2011,plain,
! [X0] :
( ~ less(n85,n100)
| ~ accept_population(X0,christian,n3)
| ~ accept_population(X0,atheist,n12)
| accept_city(X0,coastvillage) ),
inference(resolution,[],[f2010,f1983]) ).
fof(f2023,definition,
( spl0_5
<=> ! [X0] :
( ~ accept_population(X0,christian,n3)
| accept_city(X0,coastvillage)
| ~ accept_population(X0,atheist,n12) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f2024,plain,
( ! [X0] :
( ~ accept_population(X0,christian,n3)
| accept_city(X0,coastvillage)
| ~ accept_population(X0,atheist,n12) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f2023]) ).
fof(f2026,definition,
( spl0_6
<=> less(n85,n100) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f2028,plain,
( ~ less(n85,n100)
| spl0_6 ),
inference(avatar_component_clause,[],[f2026]) ).
fof(f2029,plain,
( spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f2011,f2026,f2023]) ).
fof(f2036,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,f1984]) ).
fof(f2062,plain,
! [X0,X1] :
( ~ rdn_positive_less(X1,rdn(rdnn(n4),rdnn(n2)))
| less(X0,n24)
| ~ rdn_translate(X0,rdn_pos(X1)) ),
inference(resolution,[],[f1710,f1966]) ).
fof(f2063,plain,
! [X0,X1] :
( less(X0,n24)
| ~ rdn_translate(X0,rdn_pos(rdnn(X1)))
| ~ rdn_non_zero(rdnn(n2)) ),
inference(resolution,[],[f2062,f1963]) ).
fof(f2067,plain,
! [X0,X1] :
( ~ rdn_translate(X0,rdn_pos(rdnn(X1)))
| less(X0,n24) ),
inference(forward_subsumption_resolution,[],[f2063,f1985]) ).
fof(f2069,plain,
! [X0] :
( ~ rdn_positive_less(rdnn(X0),rdnn(n2))
| rdn_positive_less(rdnn(X0),rdnn(n3)) ),
inference(resolution,[],[f1953,f1960]) ).
fof(f2070,plain,
rdn_positive_less(rdnn(n1),rdnn(n3)),
inference(resolution,[],[f2069,f1952]) ).
fof(f2078,plain,
rdn_non_zero(rdnn(n1)),
inference(resolution,[],[f1942,f1964]) ).
fof(f2089,plain,
less(n3,n24),
inference(resolution,[],[f2067,f1689]) ).
fof(f2151,plain,
! [X2,X0,X1] :
( less(X0,n100)
| ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(X2))))
| ~ rdn_non_zero(rdnn(n1)) ),
inference(resolution,[],[f2036,f1963]) ).
fof(f2155,plain,
! [X2,X0,X1] :
( ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(X2))))
| less(X0,n100) ),
inference(forward_subsumption_resolution,[],[f2151,f2078]) ).
fof(f2217,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(f2220,plain,
! [X2,X0,X1] :
( ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),X2)))
| less(X0,n30)
| ~ rdn_positive_less(X2,rdnn(n3)) ),
inference(resolution,[],[f2217,f1961]) ).
fof(f2237,plain,
! [X0,X1] :
( accept_population(X0,atheist,X1)
| ~ accept_city(X0,townc)
| ~ less(X1,n30) ),
inference(resolution,[],[f1069,f987]) ).
fof(f2349,plain,
less(n85,n100),
inference(resolution,[],[f2155,f1771]) ).
fof(f2353,plain,
( $false
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f2349,f2028]) ).
fof(f2354,plain,
spl0_6,
inference(avatar_contradiction_clause,[],[f2353]) ).
fof(f3063,plain,
! [X0] :
( accept_population(countryamedicalorganization,christian,X0)
| ~ less(X0,n24) ),
inference(resolution,[],[f1541,f987]) ).
fof(f3064,plain,
( ~ less(n3,n24)
| accept_city(countryamedicalorganization,coastvillage)
| ~ accept_population(countryamedicalorganization,atheist,n12)
| ~ spl0_5 ),
inference(resolution,[],[f3063,f2024]) ).
fof(f3068,plain,
( accept_city(countryamedicalorganization,coastvillage)
| ~ accept_population(countryamedicalorganization,atheist,n12)
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f3064,f2089]) ).
fof(f3069,plain,
( ~ accept_population(countryamedicalorganization,atheist,n12)
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f3068,f1331]) ).
fof(f3075,plain,
( ~ accept_city(countryamedicalorganization,townc)
| ~ less(n12,n30)
| ~ spl0_5 ),
inference(resolution,[],[f3069,f2237]) ).
fof(f3119,plain,
( less(n12,n30)
| ~ rdn_positive_less(rdnn(n1),rdnn(n3)) ),
inference(resolution,[],[f1698,f2220]) ).
fof(f3163,definition,
( spl0_92
<=> less(n12,n30) ),
introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).
fof(f3199,plain,
( ~ less(n12,n30)
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f3075,f1338]) ).
fof(f3211,plain,
less(n12,n30),
inference(forward_subsumption_resolution,[],[f3119,f2070]) ).
fof(f3223,plain,
( ~ spl0_92
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f3199,f2023,f3163]) ).
fof(f3226,plain,
spl0_92,
inference(avatar_split_clause,[],[f3211,f3163]) ).
cnf(s3,plain,
( spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f2029]) ).
cnf(s14,plain,
spl0_6,
inference(sat_conversion,[],[f2354]) ).
cnf(s71,plain,
( ~ spl0_5
| ~ spl0_92 ),
inference(sat_conversion,[],[f3223]) ).
cnf(s74,plain,
spl0_92,
inference(sat_conversion,[],[f3226]) ).
cnf(s87,plain,
~ spl0_5,
inference(rat,[],[s71,s74]) ).
cnf(s96,plain,
$false,
inference(rat,[],[s3,s14,s87]) ).
fof(f3234,plain,
$false,
inference(avatar_sat_refutation,[],[s96]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT021+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n007.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 19:11:40 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.26/1.80 % (2724979)Detected formulas, will run a generic FOF schedule.
% 6.26/1.80 % (2724988)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2864817063:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.26/1.80 % (2724988)Refutation not found, incomplete strategy
% 6.26/1.80 % (2724988)------------------------------
% 6.26/1.80 % (2724988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.26/1.80 % (2724988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.26/1.80 % (2724988)CaDiCaL version: 2.1.3
% 6.26/1.80 % (2724988)Termination reason: Refutation not found, incomplete strategy
% 6.26/1.80 % (2724988)Time elapsed: 0.004 s
% 6.26/1.80 % (2724988)Peak memory usage: 88 MB
% 6.26/1.80 % (2724988)Instructions burned: 15 (million)
% 6.26/1.80 % (2724989)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=578821529:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.26/1.80 % (2724986)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=3184614750:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.26/1.80 % (2724984)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=2343416695:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.26/1.80 % (2724987)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3256421816:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.26/1.80 % (2724985)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=818881760:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.26/1.80 % (2724987)Refutation not found, incomplete strategy
% 6.26/1.80 % (2724987)------------------------------
% 6.26/1.80 % (2724987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.26/1.80 % (2724987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.26/1.80 % (2724987)CaDiCaL version: 2.1.3
% 6.26/1.80 % (2724987)Termination reason: Refutation not found, incomplete strategy
% 6.26/1.80 % (2724987)Time elapsed: 0.002 s
% 6.26/1.80 % (2724987)Peak memory usage: 87 MB
% 6.26/1.80 % (2724987)Instructions burned: 2 (million)
% 6.26/1.80 % (2724990)dis-21_1_sil=8000:lcm=predicate:random_seed=248439413: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)
% 6.26/1.80 % (2724990)Instruction limit reached!
% 6.26/1.80 % (2724990)------------------------------
% 6.26/1.80 % (2724990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.26/1.80 % (2724990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.26/1.80 % (2724990)CaDiCaL version: 2.1.3
% 6.26/1.80 % (2724990)Termination reason: Instruction limit
% 6.26/1.80 % (2724990)Termination phase: Saturation
% 6.26/1.80 % (2724990)Time elapsed: 0.064 s
% 6.26/1.80 % (2724990)Peak memory usage: 91 MB
% 6.26/1.80 % (2724990)Instructions burned: 130 (million)
% 6.26/1.80 % (2724989)Instruction limit reached!
% 6.26/1.80 % (2724989)------------------------------
% 6.26/1.80 % (2724989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.26/1.80 % (2724989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.26/1.80 % (2724989)CaDiCaL version: 2.1.3
% 6.26/1.80 % (2724989)Termination reason: Instruction limit
% 6.26/1.80 % (2724989)Termination phase: Saturation
% 6.26/1.80 % (2724989)Time elapsed: 0.084 s
% 6.26/1.80 % (2724989)Peak memory usage: 90 MB
% 6.26/1.80 % (2724989)Instructions burned: 140 (million)
% 6.26/1.80 % (2724988)------------------------------
% 6.26/1.80 % (2724988)------------------------------
% 6.26/1.80 % (2724998)lrs+10_1_sil=8000:sp=occurrence:random_seed=4280679770:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.26/1.80 % (2724998)Refutation not found, incomplete strategy
% 6.26/1.80 % (2724998)------------------------------
% 6.26/1.80 % (2724998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.26/1.80 % (2724998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.26/1.80 % (2724998)CaDiCaL version: 2.1.3
% 6.26/1.80 % (2724998)Termination reason: Refutation not found, incomplete strategy
% 6.26/1.80 % (2724998)Time elapsed: 0.007 s
% 6.26/1.80 % (2724998)Peak memory usage: 88 MB
% 7.64/2.01 % (2724998)Instructions burned: 12 (million)
% 7.64/2.01 % (2725000)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3129384767:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 7.64/2.01 % (2724999)lrs+10_1_sil=32000:urr=on:br=off:random_seed=572376490:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.64/2.01 % (2725000)Refutation not found, incomplete strategy
% 7.64/2.01 % (2725000)------------------------------
% 7.64/2.01 % (2725000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.64/2.01 % (2725000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.64/2.01 % (2725000)CaDiCaL version: 2.1.3
% 7.64/2.01 % (2725000)Termination reason: Refutation not found, incomplete strategy
% 7.64/2.01 % (2725000)Time elapsed: 0.001 s
% 7.64/2.01 % (2725000)Peak memory usage: 88 MB
% 7.64/2.01 % (2725000)Instructions burned: 3 (million)
% 7.64/2.01 % (2724999)Refutation not found, incomplete strategy
% 7.64/2.01 % (2724999)------------------------------
% 7.64/2.01 % (2724999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.64/2.01 % (2724999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.64/2.01 % (2724999)CaDiCaL version: 2.1.3
% 7.64/2.01 % (2724999)Termination reason: Refutation not found, incomplete strategy
% 7.64/2.01 % (2724999)Time elapsed: 0.005 s
% 7.64/2.01 % (2724999)Peak memory usage: 88 MB
% 7.64/2.01 % (2724999)Instructions burned: 8 (million)
% 7.64/2.01 % (2724987)------------------------------
% 7.64/2.01 % (2724987)------------------------------
% 7.64/2.01 % (2725000)------------------------------
% 7.64/2.01 % (2725000)------------------------------
% 7.64/2.01 % (2725004)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=1805650829:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 7.64/2.01 % (2724998)------------------------------
% 7.64/2.01 % (2724998)------------------------------
% 7.64/2.01 % (2725005)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4043598016:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 7.64/2.01 % (2725005)Refutation not found, incomplete strategy
% 7.64/2.01 % (2725005)------------------------------
% 7.64/2.02 % (2725005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.64/2.02 % (2725005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.64/2.02 % (2725005)CaDiCaL version: 2.1.3
% 7.64/2.02 % (2725005)Termination reason: Refutation not found, incomplete strategy
% 7.64/2.02 % (2725005)Time elapsed: 0.004 s
% 7.64/2.02 % (2725005)Peak memory usage: 88 MB
% 7.64/2.02 % (2725005)Instructions burned: 12 (million)
% 7.64/2.02 % (2724999)------------------------------
% 7.64/2.02 % (2724999)------------------------------
% 7.64/2.02 % (2725004)Instruction limit reached!
% 7.64/2.02 % (2725004)------------------------------
% 7.64/2.02 % (2725004)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.64/2.02 % (2725004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.64/2.02 % (2725004)CaDiCaL version: 2.1.3
% 7.64/2.02 % (2725004)Termination reason: Instruction limit
% 7.64/2.02 % (2725004)Termination phase: Saturation
% 7.64/2.02 % (2725004)Time elapsed: 0.129 s
% 7.64/2.02 % (2725004)Peak memory usage: 91 MB
% 7.64/2.02 % (2725004)Instructions burned: 249 (million)
% 7.64/2.02 % (2725008)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=941601026:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 7.64/2.02 % (2725009)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=867354553:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 7.64/2.02 % (2725009)Refutation not found, incomplete strategy
% 7.64/2.02 % (2725009)------------------------------
% 7.64/2.02 % (2725009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.64/2.02 % (2725009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.64/2.02 % (2725009)CaDiCaL version: 2.1.3
% 7.64/2.02 % (2725009)Termination reason: Refutation not found, incomplete strategy
% 7.64/2.02 % (2725009)Time elapsed: 0.006 s
% 7.64/2.02 % (2725009)Peak memory usage: 88 MB
% 7.64/2.02 % (2725009)Instructions burned: 9 (million)
% 7.64/2.02 % (2725005)------------------------------
% 7.64/2.02 % (2725005)------------------------------
% 7.64/2.02 % (2724986)Refutation not found, incomplete strategy
% 7.64/2.02 % (2724986)------------------------------
% 7.64/2.02 % (2724986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.64/2.02 % (2724986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.64/2.02 % (2724986)CaDiCaL version: 2.1.3
% 7.64/2.02 % (2724986)Termination reason: Refutation not found, incomplete strategy
% 7.64/2.02 % (2724986)Time elapsed: 0.616 s
% 7.64/2.02 % (2724986)Peak memory usage: 128 MB
% 7.64/2.02 % (2724986)Instructions burned: 908 (million)
% 7.64/2.02 % (2725010)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2906836984:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 7.64/2.02 % (2725013)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2120718289:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 7.64/2.02 % (2725013)Refutation not found, incomplete strategy
% 7.64/2.02 % (2725013)------------------------------
% 7.64/2.02 % (2725013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.64/2.02 % (2725013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.64/2.02 % (2725013)CaDiCaL version: 2.1.3
% 7.64/2.02 % (2725013)Termination reason: Refutation not found, incomplete strategy
% 7.64/2.02 % (2725013)Time elapsed: 0.010 s
% 7.64/2.02 % (2725013)Peak memory usage: 89 MB
% 7.64/2.02 % (2725013)Instructions burned: 34 (million)
% 7.64/2.02 % (2724985)Refutation not found, incomplete strategy
% 7.64/2.02 % (2724985)------------------------------
% 7.64/2.02 % (2724985)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.64/2.02 % (2724985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.64/2.02 % (2724985)CaDiCaL version: 2.1.3
% 7.64/2.02 % (2724985)Termination reason: Refutation not found, incomplete strategy
% 7.64/2.02 % (2724985)Time elapsed: 0.720 s
% 7.64/2.02 % (2724985)Peak memory usage: 131 MB
% 7.64/2.02 % (2724985)Instructions burned: 1071 (million)
% 7.64/2.02 % (2725010)Instruction limit reached!
% 7.64/2.02 % (2725010)------------------------------
% 7.64/2.02 % (2725010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.64/2.02 % (2725010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.64/2.02 % (2725010)CaDiCaL version: 2.1.3
% 7.64/2.02 % (2725010)Termination reason: Instruction limit
% 7.64/2.02 % (2725010)Termination phase: Saturation
% 7.64/2.02 % (2725010)Time elapsed: 0.061 s
% 7.64/2.02 % (2725010)Peak memory usage: 89 MB
% 7.64/2.02 % (2725010)Instructions burned: 129 (million)
% 7.64/2.02 % (2725009)------------------------------
% 7.64/2.02 % (2725009)------------------------------
% 7.64/2.02 % (2724986)------------------------------
% 7.64/2.02 % (2724986)------------------------------
% 7.64/2.02 % (2725013)------------------------------
% 7.64/2.02 % (2725013)------------------------------
% 7.64/2.02 % (2725016)lrs+10_1_sil=8000:sp=occurrence:random_seed=3879413038:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 7.64/2.02 % (2725016)Refutation not found, incomplete strategy
% 7.64/2.02 % (2725016)------------------------------
% 7.64/2.02 % (2725016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.64/2.02 % (2725016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.64/2.02 % (2725016)CaDiCaL version: 2.1.3
% 7.64/2.02 % (2725016)Termination reason: Refutation not found, incomplete strategy
% 7.64/2.02 % (2725016)Time elapsed: 0.009 s
% 7.64/2.02 % (2725016)Peak memory usage: 88 MB
% 7.64/2.02 % (2725016)Instructions burned: 17 (million)
% 7.64/2.02 % (2724984)First to succeed.
% 7.64/2.02 % (2724984)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2724979"
% 7.64/2.02 % (2724985)------------------------------
% 7.64/2.02 % (2724985)------------------------------
% 7.64/2.02 % (2725020)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1552756300:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 7.64/2.02 % (2725017)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1670791510:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 7.64/2.02 % (2725017)Refutation not found, incomplete strategy
% 7.64/2.02 % (2725017)------------------------------
% 7.64/2.02 % (2725017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.64/2.02 % (2725017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.64/2.02 % (2725017)CaDiCaL version: 2.1.3
% 7.64/2.02 % (2725017)Termination reason: Refutation not found, incomplete strategy
% 7.64/2.02 % (2725017)Time elapsed: 0.002 s
% 7.64/2.02 % (2725017)Peak memory usage: 88 MB
% 7.64/2.02 % (2725017)Instructions burned: 2 (million)
% 7.64/2.02 % (2725020)Instruction limit reached!
% 7.64/2.02 % (2725020)------------------------------
% 7.64/2.02 % (2725020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.64/2.02 % (2725020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.64/2.02 % (2725020)CaDiCaL version: 2.1.3
% 7.64/2.02 % (2725020)Termination reason: Instruction limit
% 7.64/2.02 % (2725020)Termination phase: Saturation
% 7.64/2.02 % (2725020)Time elapsed: 0.036 s
% 7.64/2.02 % (2725020)Peak memory usage: 90 MB
% 7.64/2.02 % (2725020)Instructions burned: 134 (million)
% 7.64/2.02 % (2725019)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3335311237:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 7.64/2.02 % (2725023)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1488929135:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 7.64/2.02 % (2725025)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2680082444:st=3:i=13193:sd=3:ss=axioms_2988 on theBenchmark for (2988ds/13193Mi)
% 7.64/2.02 % (2725023)Refutation not found, incomplete strategy
% 7.64/2.02 % (2725023)------------------------------
% 7.64/2.02 % (2725023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.64/2.02 % (2725023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.64/2.02 % (2725023)CaDiCaL version: 2.1.3
% 7.64/2.02 % (2725023)Termination reason: Refutation not found, incomplete strategy
% 7.64/2.02 % (2725023)Time elapsed: 0.008 s
% 7.64/2.02 % (2725023)Peak memory usage: 88 MB
% 7.64/2.02 % (2725023)Instructions burned: 13 (million)
% 7.64/2.02 % (2725016)------------------------------
% 7.64/2.02 % (2725016)------------------------------
% 7.64/2.02 % (2724984)Refutation found. Thanks to Tanya!
% 7.64/2.02 % SZS status Theorem for theBenchmark
% 7.64/2.02 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/2.21 % (2724984)------------------------------
% 0.19/2.21 % (2724984)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/2.21 % (2724984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/2.21 % (2724984)CaDiCaL version: 2.1.3
% 0.19/2.21 % (2724984)Termination reason: Refutation
% 0.19/2.21 % (2724984)Time elapsed: 0.918 s
% 0.19/2.21 % (2724984)Peak memory usage: 136 MB
% 0.19/2.21 % (2724984)Instructions burned: 1356 (million)
% 0.19/2.21 % (2724984)------------------------------
% 0.19/2.21 % (2724984)------------------------------
% 0.19/2.21 % (2724979)Success in time 1.358 s
% 0.19/2.21 % Vampire exiting
%------------------------------------------------------------------------------