%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : AGT022+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 : n020.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 7.73s 2.00s
% Output : Refutation 9.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 30
% Syntax : Number of formulae : 117 ( 58 unt; 3 def)
% Number of atoms : 233 ( 0 equ)
% Maximal formula atoms : 12 ( 1 avg)
% Number of connectives : 209 ( 93 ~; 88 |; 18 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 4 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 19 con; 0-2 aty)
% Number of variables : 103 ( 0 sgn 99 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
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(f282,axiom,
~ accept_city(countryamedicalorganization,coastvillage),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',deduced_13) ).
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(f491,axiom,
accept_population(countryamedicalorganization,muslim,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',deduced_222) ).
fof(f493,axiom,
accept_population(countryamedicalorganization,atheist,n75),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',deduced_224) ).
fof(f637,axiom,
rdn_translate(n0,rdn_pos(rdnn(n0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn0) ).
fof(f638,axiom,
rdn_translate(n1,rdn_pos(rdnn(n1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn1) ).
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(f712,axiom,
rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn75) ).
fof(f894,axiom,
rdn_non_zero_digit(rdnn(n2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit2) ).
fof(f902,axiom,
rdn_positive_less(rdnn(n0),rdnn(n1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less01) ).
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(f905,axiom,
rdn_positive_less(rdnn(n3),rdnn(n4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less34) ).
fof(f906,axiom,
rdn_positive_less(rdnn(n4),rdnn(n5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less45) ).
fof(f907,axiom,
rdn_positive_less(rdnn(n5),rdnn(n6)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less56) ).
fof(f908,axiom,
rdn_positive_less(rdnn(n6),rdnn(n7)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less67) ).
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,
? [X0,X1] : ~ accept_population(X0,native,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query_22) ).
fof(f924,negated_conjecture,
~ ? [X0,X1] : ~ accept_population(X0,native,X1),
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,X1] : accept_population(X0,native,X1),
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(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_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(cnf_transformation,[],[f967]) ).
fof(f1331,plain,
~ accept_city(countryamedicalorganization,coastvillage),
inference(cnf_transformation,[],[f282]) ).
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(f1540,plain,
accept_population(countryamedicalorganization,muslim,n1),
inference(cnf_transformation,[],[f491]) ).
fof(f1542,plain,
accept_population(countryamedicalorganization,atheist,n75),
inference(cnf_transformation,[],[f493]) ).
fof(f1686,plain,
rdn_translate(n0,rdn_pos(rdnn(n0))),
inference(cnf_transformation,[],[f637]) ).
fof(f1687,plain,
rdn_translate(n1,rdn_pos(rdnn(n1))),
inference(cnf_transformation,[],[f638]) ).
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(f1761,plain,
rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
inference(cnf_transformation,[],[f712]) ).
fof(f1943,plain,
rdn_non_zero_digit(rdnn(n2)),
inference(cnf_transformation,[],[f894]) ).
fof(f1951,plain,
rdn_positive_less(rdnn(n0),rdnn(n1)),
inference(cnf_transformation,[],[f902]) ).
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(f1954,plain,
rdn_positive_less(rdnn(n3),rdnn(n4)),
inference(cnf_transformation,[],[f905]) ).
fof(f1955,plain,
rdn_positive_less(rdnn(n4),rdnn(n5)),
inference(cnf_transformation,[],[f906]) ).
fof(f1956,plain,
rdn_positive_less(rdnn(n5),rdnn(n6)),
inference(cnf_transformation,[],[f907]) ).
fof(f1957,plain,
rdn_positive_less(rdnn(n6),rdnn(n7)),
inference(cnf_transformation,[],[f908]) ).
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,X1] : accept_population(X0,native,X1),
inference(cnf_transformation,[],[f951]) ).
fof(f1980,plain,
! [X0] :
( ~ accept_population(X0,other,n0)
| ~ accept_population(X0,atheist,n12)
| ~ accept_population(X0,christian,n3)
| ~ accept_population(X0,muslim,n0)
| accept_city(X0,coastvillage) ),
inference(forward_subsumption_resolution,[],[f1028,f1972]) ).
fof(f2005,plain,
! [X0,X1] :
( ~ rdn_positive_less(X1,rdnn(n1))
| less(X0,n1)
| ~ rdn_translate(X0,rdn_pos(X1)) ),
inference(resolution,[],[f1966,f1687]) ).
fof(f2025,plain,
rdn_non_zero(rdnn(n2)),
inference(resolution,[],[f1964,f1943]) ).
fof(f2033,plain,
( ~ accept_population(countryamedicalorganization,atheist,n12)
| ~ accept_population(countryamedicalorganization,christian,n3)
| ~ accept_population(countryamedicalorganization,muslim,n0)
| accept_city(countryamedicalorganization,coastvillage) ),
inference(resolution,[],[f1538,f1980]) ).
fof(f2035,plain,
( ~ accept_population(countryamedicalorganization,atheist,n12)
| ~ accept_population(countryamedicalorganization,christian,n3)
| ~ accept_population(countryamedicalorganization,muslim,n0) ),
inference(forward_subsumption_resolution,[],[f2033,f1331]) ).
fof(f2037,definition,
( spl0_7
<=> accept_population(countryamedicalorganization,muslim,n0) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f2039,plain,
( ~ accept_population(countryamedicalorganization,muslim,n0)
| spl0_7 ),
inference(avatar_component_clause,[],[f2037]) ).
fof(f2041,definition,
( spl0_8
<=> accept_population(countryamedicalorganization,christian,n3) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f2043,plain,
( ~ accept_population(countryamedicalorganization,christian,n3)
| spl0_8 ),
inference(avatar_component_clause,[],[f2041]) ).
fof(f2045,definition,
( spl0_9
<=> accept_population(countryamedicalorganization,atheist,n12) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f2047,plain,
( ~ accept_population(countryamedicalorganization,atheist,n12)
| spl0_9 ),
inference(avatar_component_clause,[],[f2045]) ).
fof(f2048,plain,
( ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f2035,f2045,f2041,f2037]) ).
fof(f2086,plain,
! [X0] :
( accept_population(countryamedicalorganization,christian,X0)
| ~ less(X0,n20) ),
inference(resolution,[],[f987,f1529]) ).
fof(f2087,plain,
! [X0] :
( accept_population(countryamedicalorganization,muslim,X0)
| ~ less(X0,n1) ),
inference(resolution,[],[f987,f1540]) ).
fof(f2092,plain,
! [X0] :
( accept_population(countryamedicalorganization,atheist,X0)
| ~ less(X0,n75) ),
inference(resolution,[],[f987,f1542]) ).
fof(f2106,plain,
! [X0] :
( ~ rdn_positive_less(rdnn(X0),rdnn(n4))
| rdn_positive_less(rdnn(X0),rdnn(n5)) ),
inference(resolution,[],[f1960,f1955]) ).
fof(f2107,plain,
! [X0] :
( ~ rdn_positive_less(rdnn(X0),rdnn(n3))
| rdn_positive_less(rdnn(X0),rdnn(n4)) ),
inference(resolution,[],[f1960,f1954]) ).
fof(f2111,plain,
! [X0] :
( ~ rdn_positive_less(rdnn(X0),rdnn(n2))
| rdn_positive_less(rdnn(X0),rdnn(n3)) ),
inference(resolution,[],[f1960,f1953]) ).
fof(f2112,plain,
! [X0] :
( ~ rdn_positive_less(rdnn(X0),rdnn(n5))
| rdn_positive_less(rdnn(X0),rdnn(n6)) ),
inference(resolution,[],[f1960,f1956]) ).
fof(f2113,plain,
! [X0] :
( ~ rdn_positive_less(rdnn(X0),rdnn(n6))
| rdn_positive_less(rdnn(X0),rdnn(n7)) ),
inference(resolution,[],[f1960,f1957]) ).
fof(f2118,plain,
rdn_positive_less(rdnn(n1),rdnn(n3)),
inference(resolution,[],[f2111,f1952]) ).
fof(f2130,plain,
rdn_positive_less(rdnn(n1),rdnn(n4)),
inference(resolution,[],[f2107,f2118]) ).
fof(f2135,plain,
rdn_positive_less(rdnn(n1),rdnn(n5)),
inference(resolution,[],[f2106,f2130]) ).
fof(f2137,plain,
rdn_positive_less(rdnn(n1),rdnn(n6)),
inference(resolution,[],[f2135,f2112]) ).
fof(f2142,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(f2158,plain,
! [X0,X1] :
( less(X0,n20)
| ~ rdn_translate(X0,rdn_pos(rdnn(X1)))
| ~ rdn_non_zero(rdnn(n2)) ),
inference(resolution,[],[f2142,f1963]) ).
fof(f2162,plain,
! [X0,X1] :
( ~ rdn_translate(X0,rdn_pos(rdnn(X1)))
| less(X0,n20) ),
inference(forward_subsumption_resolution,[],[f2158,f2025]) ).
fof(f2165,plain,
less(n3,n20),
inference(resolution,[],[f2162,f1689]) ).
fof(f2189,plain,
! [X0,X1] :
( ~ rdn_positive_less(X1,rdn(rdnn(n5),rdnn(n7)))
| less(X0,n75)
| ~ rdn_translate(X0,rdn_pos(X1)) ),
inference(resolution,[],[f1761,f1966]) ).
fof(f2192,plain,
! [X2,X0,X1] :
( ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),X2)))
| less(X0,n75)
| ~ rdn_positive_less(X2,rdnn(n7)) ),
inference(resolution,[],[f2189,f1961]) ).
fof(f2217,plain,
! [X0] :
( ~ rdn_translate(X0,rdn_pos(rdnn(n0)))
| less(X0,n1) ),
inference(resolution,[],[f2005,f1951]) ).
fof(f2266,plain,
( ~ less(n0,n1)
| spl0_7 ),
inference(resolution,[],[f2087,f2039]) ).
fof(f2301,plain,
less(n0,n1),
inference(resolution,[],[f2217,f1686]) ).
fof(f2304,plain,
( $false
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f2301,f2266]) ).
fof(f2305,plain,
spl0_7,
inference(avatar_contradiction_clause,[],[f2304]) ).
fof(f2307,plain,
( ~ less(n3,n20)
| spl0_8 ),
inference(resolution,[],[f2043,f2086]) ).
fof(f2313,plain,
( $false
| spl0_8 ),
inference(forward_subsumption_resolution,[],[f2307,f2165]) ).
fof(f2314,plain,
spl0_8,
inference(avatar_contradiction_clause,[],[f2313]) ).
fof(f2315,plain,
( ~ less(n12,n75)
| spl0_9 ),
inference(resolution,[],[f2047,f2092]) ).
fof(f2821,plain,
rdn_positive_less(rdnn(n1),rdnn(n7)),
inference(resolution,[],[f2137,f2113]) ).
fof(f3092,plain,
( less(n12,n75)
| ~ rdn_positive_less(rdnn(n1),rdnn(n7)) ),
inference(resolution,[],[f1698,f2192]) ).
fof(f3111,plain,
( ~ rdn_positive_less(rdnn(n1),rdnn(n7))
| spl0_9 ),
inference(forward_subsumption_resolution,[],[f3092,f2315]) ).
fof(f3118,plain,
( $false
| spl0_9 ),
inference(forward_subsumption_resolution,[],[f3111,f2821]) ).
fof(f3119,plain,
spl0_9,
inference(avatar_contradiction_clause,[],[f3118]) ).
cnf(s3,plain,
( ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f2048]) ).
cnf(s7,plain,
spl0_7,
inference(sat_conversion,[],[f2305]) ).
cnf(s9,plain,
spl0_8,
inference(sat_conversion,[],[f2314]) ).
cnf(s53,plain,
spl0_9,
inference(sat_conversion,[],[f3119]) ).
cnf(s57,plain,
$false,
inference(rat,[],[s3,s53,s9,s7]) ).
fof(f3120,plain,
$false,
inference(avatar_sat_refutation,[],[s57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT022+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.18 % Computer : n020.cluster.edu
% 0.10/0.18 % Model : x86_64 x86_64
% 0.10/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18 % Memory : 8046.5625MB
% 0.10/0.18 % OS : Linux 6.8.0-71-generic
% 0.10/0.18 % CPULimit : 300
% 0.10/0.18 % WCLimit : 300
% 0.10/0.18 % DateTime : Mon Sep 28 19:15:04 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 Running first-order theorem proving
% 0.10/0.22 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
% 5.55/1.55 % (440063)Detected formulas, will run a generic FOF schedule.
% 5.55/1.55 % (440072)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=869094627:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.55/1.55 % (440072)Refutation not found, incomplete strategy
% 5.55/1.55 % (440072)------------------------------
% 5.55/1.55 % (440072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/1.55 % (440072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.55 % (440072)CaDiCaL version: 2.1.3
% 5.55/1.55 % (440072)Termination reason: Refutation not found, incomplete strategy
% 5.55/1.55 % (440072)Time elapsed: 0.004 s
% 5.55/1.55 % (440072)Peak memory usage: 88 MB
% 5.55/1.55 % (440072)Instructions burned: 13 (million)
% 5.55/1.55 % (440068)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=3846960768:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.55/1.55 % (440070)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=4288764694:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.55/1.55 % (440069)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=63707460:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.55/1.55 % (440071)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4029264270:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.55/1.55 % (440074)dis-21_1_sil=8000:lcm=predicate:random_seed=2080413832: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)
% 5.55/1.55 % (440073)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1744881217:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.55/1.55 % (440071)Refutation not found, incomplete strategy
% 5.55/1.55 % (440071)------------------------------
% 5.55/1.55 % (440071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/1.55 % (440071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.55 % (440071)CaDiCaL version: 2.1.3
% 5.55/1.55 % (440071)Termination reason: Refutation not found, incomplete strategy
% 5.55/1.55 % (440071)Time elapsed: 0.002 s
% 5.55/1.55 % (440071)Peak memory usage: 87 MB
% 5.55/1.55 % (440071)Instructions burned: 2 (million)
% 5.55/1.55 % (440074)Instruction limit reached!
% 5.55/1.55 % (440074)------------------------------
% 5.55/1.55 % (440074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/1.55 % (440074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.55 % (440074)CaDiCaL version: 2.1.3
% 5.55/1.55 % (440074)Termination reason: Instruction limit
% 5.55/1.55 % (440074)Termination phase: Saturation
% 5.55/1.55 % (440074)Time elapsed: 0.063 s
% 5.55/1.55 % (440074)Peak memory usage: 90 MB
% 5.55/1.55 % (440074)Instructions burned: 130 (million)
% 5.55/1.55 % (440073)Instruction limit reached!
% 5.55/1.55 % (440073)------------------------------
% 5.55/1.55 % (440073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/1.55 % (440073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.55 % (440073)CaDiCaL version: 2.1.3
% 5.55/1.55 % (440073)Termination reason: Instruction limit
% 5.55/1.55 % (440073)Termination phase: Saturation
% 5.55/1.55 % (440073)Time elapsed: 0.084 s
% 5.55/1.55 % (440073)Peak memory usage: 90 MB
% 5.55/1.55 % (440073)Instructions burned: 139 (million)
% 5.55/1.55 % (440072)------------------------------
% 5.55/1.55 % (440072)------------------------------
% 5.55/1.55 % (440082)lrs+10_1_sil=8000:sp=occurrence:random_seed=4161078522:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.55/1.55 % (440084)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1438361166:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.55/1.55 % (440084)Refutation not found, incomplete strategy
% 5.55/1.55 % (440084)------------------------------
% 5.55/1.55 % (440084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/1.55 % (440084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.55 % (440084)CaDiCaL version: 2.1.3
% 5.55/1.55 % (440084)Termination reason: Refutation not found, incomplete strategy
% 7.73/1.92 % (440084)Time elapsed: 0.001 s
% 7.73/1.92 % (440084)Peak memory usage: 87 MB
% 7.73/1.92 % (440084)Instructions burned: 2 (million)
% 7.73/1.92 % (440082)Refutation not found, incomplete strategy
% 7.73/1.92 % (440082)------------------------------
% 7.73/1.92 % (440082)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.73/1.92 % (440082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/1.92 % (440082)CaDiCaL version: 2.1.3
% 7.73/1.92 % (440082)Termination reason: Refutation not found, incomplete strategy
% 7.73/1.92 % (440082)Time elapsed: 0.007 s
% 7.73/1.92 % (440082)Peak memory usage: 88 MB
% 7.73/1.92 % (440082)Instructions burned: 12 (million)
% 7.73/1.92 % (440071)------------------------------
% 7.73/1.92 % (440071)------------------------------
% 7.73/1.92 % (440083)lrs+10_1_sil=32000:urr=on:br=off:random_seed=235724277:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.73/1.92 % (440083)Refutation not found, incomplete strategy
% 7.73/1.92 % (440083)------------------------------
% 7.73/1.92 % (440083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.73/1.92 % (440083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/1.92 % (440083)CaDiCaL version: 2.1.3
% 7.73/1.92 % (440083)Termination reason: Refutation not found, incomplete strategy
% 7.73/1.92 % (440083)Time elapsed: 0.004 s
% 7.73/1.92 % (440083)Peak memory usage: 87 MB
% 7.73/1.92 % (440083)Instructions burned: 8 (million)
% 7.73/1.92 % (440084)------------------------------
% 7.73/1.92 % (440084)------------------------------
% 7.73/1.92 [W928 19:15:06.497304491 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 7.73/1.92 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.73/1.92 [W928 19:15:06.497351552 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 7.73/1.92 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.73/1.92 [W928 19:15:06.497393015 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 7.73/1.92 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.73/1.92 [W928 19:15:06.497404109 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 7.73/1.92 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.73/1.92 [W928 19:15:06.497429592 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 7.73/1.92 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.73/1.92 [W928 19:15:06.497440636 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 7.73/1.92 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.73/1.92 [W928 19:15:06.497465929 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 7.73/1.92 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.73/1.92 [W928 19:15:06.497476776 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 7.73/1.92 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.73/1.92 [W928 19:15:06.497500776 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 7.73/2.00 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.73/2.00 [W928 19:15:06.497511650 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 7.73/2.00 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.73/2.00 [W928 19:15:06.497535773 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 7.73/2.00 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.73/2.00 [W928 19:15:06.497546393 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 7.73/2.00 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.73/2.00 % (440088)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=3824329446:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 7.73/2.00 % (440082)------------------------------
% 7.73/2.00 % (440082)------------------------------
% 7.73/2.00 % (440089)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2343530820:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 7.73/2.00 % (440089)Refutation not found, incomplete strategy
% 7.73/2.00 % (440089)------------------------------
% 7.73/2.00 % (440089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.73/2.00 % (440089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/2.00 % (440089)CaDiCaL version: 2.1.3
% 7.73/2.00 % (440089)Termination reason: Refutation not found, incomplete strategy
% 7.73/2.00 % (440089)Time elapsed: 0.004 s
% 7.73/2.00 % (440089)Peak memory usage: 88 MB
% 7.73/2.00 % (440089)Instructions burned: 12 (million)
% 7.73/2.00 % (440083)------------------------------
% 7.73/2.00 % (440083)------------------------------
% 7.73/2.00 % (440088)Instruction limit reached!
% 7.73/2.00 % (440088)------------------------------
% 7.73/2.00 % (440088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.73/2.00 % (440088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/2.00 % (440088)CaDiCaL version: 2.1.3
% 7.73/2.00 % (440088)Termination reason: Instruction limit
% 7.73/2.00 % (440088)Termination phase: Saturation
% 7.73/2.00 % (440088)Time elapsed: 0.125 s
% 7.73/2.00 % (440088)Peak memory usage: 93 MB
% 7.73/2.00 % (440088)Instructions burned: 248 (million)
% 7.73/2.00 % (440070)Refutation not found, incomplete strategy
% 7.73/2.00 % (440070)------------------------------
% 7.73/2.00 % (440070)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.73/2.00 % (440070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/2.00 % (440070)CaDiCaL version: 2.1.3
% 7.73/2.00 % (440070)Termination reason: Refutation not found, incomplete strategy
% 7.73/2.00 % (440070)Time elapsed: 0.570 s
% 7.73/2.00 % (440070)Peak memory usage: 127 MB
% 7.73/2.00 % (440070)Instructions burned: 837 (million)
% 7.73/2.00 % (440091)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3327009608:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 7.73/2.00 % (440089)------------------------------
% 7.73/2.00 % (440089)------------------------------
% 7.73/2.00 % (440093)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=698752668:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 7.73/2.00 % (440093)Refutation not found, incomplete strategy
% 7.73/2.00 % (440093)------------------------------
% 7.73/2.00 % (440093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.73/2.00 % (440093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/2.00 % (440093)CaDiCaL version: 2.1.3
% 7.73/2.00 % (440093)Termination reason: Refutation not found, incomplete strategy
% 7.73/2.00 % (440093)Time elapsed: 0.005 s
% 7.73/2.00 % (440093)Peak memory usage: 88 MB
% 7.73/2.00 % (440093)Instructions burned: 7 (million)
% 7.73/2.00 % (440094)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3979052050:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 7.73/2.00 % (440069)Refutation not found, incomplete strategy
% 7.73/2.00 % (440069)------------------------------
% 7.73/2.00 % (440069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.73/2.00 % (440069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/2.00 % (440069)CaDiCaL version: 2.1.3
% 7.73/2.00 % (440069)Termination reason: Refutation not found, incomplete strategy
% 7.73/2.00 % (440069)Time elapsed: 0.757 s
% 7.73/2.00 % (440069)Peak memory usage: 131 MB
% 7.73/2.00 % (440069)Instructions burned: 1124 (million)
% 7.73/2.00 % (440094)Instruction limit reached!
% 7.73/2.00 % (440094)------------------------------
% 7.73/2.00 % (440094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.73/2.00 % (440094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/2.00 % (440094)CaDiCaL version: 2.1.3
% 7.73/2.00 % (440094)Termination reason: Instruction limit
% 7.73/2.00 % (440094)Termination phase: Saturation
% 7.73/2.00 % (440094)Time elapsed: 0.063 s
% 7.73/2.00 % (440094)Peak memory usage: 89 MB
% 7.73/2.00 % (440094)Instructions burned: 129 (million)
% 7.73/2.00 % (440096)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3175774683:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 7.73/2.00 % (440096)Refutation not found, incomplete strategy
% 7.73/2.00 % (440096)------------------------------
% 7.73/2.00 % (440096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.73/2.00 % (440096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/2.00 % (440096)CaDiCaL version: 2.1.3
% 7.73/2.00 % (440096)Termination reason: Refutation not found, incomplete strategy
% 7.73/2.00 % (440096)Time elapsed: 0.014 s
% 7.73/2.00 % (440096)Peak memory usage: 90 MB
% 7.73/2.00 % (440096)Instructions burned: 46 (million)
% 7.73/2.00 % (440070)------------------------------
% 7.73/2.00 % (440070)------------------------------
% 7.73/2.00 % (440068)First to succeed.
% 7.73/2.00 % (440068)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-440063"
% 7.73/2.00 % (440093)------------------------------
% 7.73/2.00 % (440093)------------------------------
% 7.73/2.00 % (440099)lrs+10_1_sil=8000:sp=occurrence:random_seed=796422251:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 7.73/2.00 % (440099)Refutation not found, incomplete strategy
% 7.73/2.00 % (440099)------------------------------
% 7.73/2.00 % (440099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.73/2.00 % (440099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/2.00 % (440099)CaDiCaL version: 2.1.3
% 7.73/2.00 % (440099)Termination reason: Refutation not found, incomplete strategy
% 7.73/2.00 % (440099)Time elapsed: 0.008 s
% 7.73/2.00 % (440099)Peak memory usage: 88 MB
% 7.73/2.00 % (440099)Instructions burned: 15 (million)
% 7.73/2.00 % (440096)------------------------------
% 7.73/2.00 % (440096)------------------------------
% 7.73/2.00 % (440101)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1577518840:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 7.73/2.00 % (440101)Refutation not found, incomplete strategy
% 7.73/2.00 % (440101)------------------------------
% 7.73/2.00 % (440101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.73/2.00 % (440101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/2.00 % (440101)CaDiCaL version: 2.1.3
% 7.73/2.00 % (440101)Termination reason: Refutation not found, incomplete strategy
% 7.73/2.00 % (440101)Time elapsed: 0.002 s
% 7.73/2.00 % (440101)Peak memory usage: 87 MB
% 7.73/2.00 % (440101)Instructions burned: 2 (million)
% 7.73/2.00 % (440069)------------------------------
% 7.73/2.00 % (440069)------------------------------
% 7.73/2.00 % (440104)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3617564307:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 7.73/2.00 % (440102)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2149859701:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 7.73/2.00 % (440104)Refutation not found, incomplete strategy
% 7.73/2.00 % (440104)------------------------------
% 7.73/2.00 % (440104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.73/2.00 % (440104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/2.00 % (440104)CaDiCaL version: 2.1.3
% 7.73/2.00 % (440104)Termination reason: Refutation not found, incomplete strategy
% 7.73/2.00 % (440104)Time elapsed: 0.008 s
% 7.73/2.00 % (440104)Peak memory usage: 89 MB
% 7.73/2.00 % (440104)Instructions burned: 28 (million)
% 7.73/2.00 % (440068)Refutation found. Thanks to Tanya!
% 7.73/2.00 % SZS status Theorem for theBenchmark
% 7.73/2.00 % SZS output start Proof for theBenchmark
% See solution above
% 9.91/2.19 % (440068)------------------------------
% 9.91/2.19 % (440068)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.91/2.19 % (440068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.91/2.19 % (440068)CaDiCaL version: 2.1.3
% 9.91/2.19 % (440068)Termination reason: Refutation
% 9.91/2.19 % (440068)Time elapsed: 0.883 s
% 9.91/2.19 % (440068)Peak memory usage: 138 MB
% 9.91/2.19 % (440068)Instructions burned: 1331 (million)
% 9.91/2.19 % (440068)------------------------------
% 9.91/2.19 % (440068)------------------------------
% 9.91/2.19 % (440063)Success in time 1.333 s
% 9.91/2.19 % Vampire exiting
%------------------------------------------------------------------------------