%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : AGT011+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 : n008.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 09:06:34 AM UTC 2026
% Result : Theorem 7.51s 1.98s
% Output : Refutation 9.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 32
% Syntax : Number of formulae : 131 ( 58 unt; 6 def)
% Number of atoms : 269 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 248 ( 110 ~; 107 |; 18 &)
% ( 7 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 7 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 20 con; 0-2 aty)
% Number of variables : 108 ( 0 sgn 108 !; 0 ?)
% 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(f282,axiom,
~ accept_city(countryamedicalorganization,coastvillage),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',deduced_13) ).
fof(f285,axiom,
accept_population(countryamedicalorganization,muslim,n65),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',deduced_16) ).
fof(f287,axiom,
accept_population(countryamedicalorganization,atheist,n30),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',deduced_18) ).
fof(f480,axiom,
accept_population(countryamedicalorganization,christian,n20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',deduced_211) ).
fof(f489,axiom,
accept_population(countryamedicalorganization,other,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',deduced_220) ).
fof(f637,axiom,
rdn_translate(n0,rdn_pos(rdnn(n0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn0) ).
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(f657,axiom,
rdn_translate(n20,rdn_pos(rdn(rdnn(n0),rdnn(n2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn20) ).
fof(f667,axiom,
rdn_translate(n30,rdn_pos(rdn(rdnn(n0),rdnn(n3)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn30) ).
fof(f702,axiom,
rdn_translate(n65,rdn_pos(rdn(rdnn(n5),rdnn(n6)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn65) ).
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(f898,axiom,
rdn_non_zero_digit(rdnn(n6)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit6) ).
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,
~ accept_population(countryamedicalorganization,native,n100),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_11) ).
fof(f924,negated_conjecture,
~ ~ accept_population(countryamedicalorganization,native,n100),
inference(negated_conjecture,[status(cth)],[f923]) ).
fof(f925,plain,
accept_population(countryamedicalorganization,native,n100),
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(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,[],[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(f1331,plain,
~ accept_city(countryamedicalorganization,coastvillage),
inference(cnf_transformation,[],[f282]) ).
fof(f1334,plain,
accept_population(countryamedicalorganization,muslim,n65),
inference(cnf_transformation,[],[f285]) ).
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(f1686,plain,
rdn_translate(n0,rdn_pos(rdnn(n0))),
inference(cnf_transformation,[],[f637]) ).
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(f1751,plain,
rdn_translate(n65,rdn_pos(rdn(rdnn(n5),rdnn(n6)))),
inference(cnf_transformation,[],[f702]) ).
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(f1947,plain,
rdn_non_zero_digit(rdnn(n6)),
inference(cnf_transformation,[],[f898]) ).
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_population(countryamedicalorganization,native,n100),
inference(cnf_transformation,[],[f925]) ).
fof(f1978,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,[],[f1966,f1786]) ).
fof(f1979,plain,
rdn_non_zero(rdnn(n2)),
inference(resolution,[],[f1964,f1943]) ).
fof(f1984,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(f1985,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,[],[f1984,f1331]) ).
fof(f1987,definition,
( spl0_1
<=> accept_population(countryamedicalorganization,native,n85) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f1989,plain,
( ~ accept_population(countryamedicalorganization,native,n85)
| spl0_1 ),
inference(avatar_component_clause,[],[f1987]) ).
fof(f1991,definition,
( spl0_2
<=> accept_population(countryamedicalorganization,muslim,n0) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f1993,plain,
( ~ accept_population(countryamedicalorganization,muslim,n0)
| spl0_2 ),
inference(avatar_component_clause,[],[f1991]) ).
fof(f1995,definition,
( spl0_3
<=> accept_population(countryamedicalorganization,christian,n3) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f1997,plain,
( ~ accept_population(countryamedicalorganization,christian,n3)
| spl0_3 ),
inference(avatar_component_clause,[],[f1995]) ).
fof(f1999,definition,
( spl0_4
<=> accept_population(countryamedicalorganization,atheist,n12) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f2001,plain,
( ~ accept_population(countryamedicalorganization,atheist,n12)
| spl0_4 ),
inference(avatar_component_clause,[],[f1999]) ).
fof(f2002,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f1985,f1999,f1995,f1991,f1987]) ).
fof(f2014,plain,
rdn_non_zero(rdnn(n6)),
inference(resolution,[],[f1947,f1964]) ).
fof(f2037,plain,
! [X0] :
( accept_population(countryamedicalorganization,atheist,X0)
| ~ less(X0,n30) ),
inference(resolution,[],[f987,f1336]) ).
fof(f2041,plain,
! [X0] :
( accept_population(countryamedicalorganization,christian,X0)
| ~ less(X0,n20) ),
inference(resolution,[],[f987,f1529]) ).
fof(f2043,plain,
! [X0] :
( accept_population(countryamedicalorganization,muslim,X0)
| ~ less(X0,n65) ),
inference(resolution,[],[f987,f1334]) ).
fof(f2044,plain,
! [X0] :
( accept_population(countryamedicalorganization,native,X0)
| ~ less(X0,n100) ),
inference(resolution,[],[f987,f1972]) ).
fof(f2049,plain,
( ~ less(n85,n100)
| spl0_1 ),
inference(resolution,[],[f2044,f1989]) ).
fof(f2070,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,f1978]) ).
fof(f2071,plain,
! [X2,X0,X1] :
( less(X0,n100)
| ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(X2))))
| ~ rdn_non_zero(rdnn(n1)) ),
inference(resolution,[],[f2070,f1963]) ).
fof(f2075,definition,
( spl0_7
<=> rdn_non_zero(rdnn(n1)) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f2077,plain,
( ~ rdn_non_zero(rdnn(n1))
| spl0_7 ),
inference(avatar_component_clause,[],[f2075]) ).
fof(f2083,definition,
( spl0_9
<=> ! [X2,X0,X1] :
( less(X0,n100)
| ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(X2)))) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f2084,plain,
( ! [X2,X0,X1] :
( ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(X2))))
| less(X0,n100) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f2083]) ).
fof(f2085,plain,
( ~ spl0_7
| spl0_9 ),
inference(avatar_split_clause,[],[f2071,f2083,f2075]) ).
fof(f2090,plain,
rdn_non_zero(rdnn(n1)),
inference(resolution,[],[f1942,f1964]) ).
fof(f2091,plain,
( $false
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f2090,f2077]) ).
fof(f2092,plain,
spl0_7,
inference(avatar_contradiction_clause,[],[f2091]) ).
fof(f2096,plain,
! [X0] :
( ~ rdn_positive_less(rdnn(X0),rdnn(n2))
| rdn_positive_less(rdnn(X0),rdnn(n3)) ),
inference(resolution,[],[f1953,f1960]) ).
fof(f2097,plain,
rdn_positive_less(rdnn(n1),rdnn(n3)),
inference(resolution,[],[f2096,f1952]) ).
fof(f2155,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(f2158,plain,
! [X2,X0,X1] :
( ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),X2)))
| less(X0,n30)
| ~ rdn_positive_less(X2,rdnn(n3)) ),
inference(resolution,[],[f2155,f1961]) ).
fof(f2173,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(f2175,plain,
! [X0,X1] :
( less(X0,n20)
| ~ rdn_translate(X0,rdn_pos(rdnn(X1)))
| ~ rdn_non_zero(rdnn(n2)) ),
inference(resolution,[],[f2173,f1963]) ).
fof(f2179,plain,
! [X0,X1] :
( ~ rdn_translate(X0,rdn_pos(rdnn(X1)))
| less(X0,n20) ),
inference(forward_subsumption_resolution,[],[f2175,f1979]) ).
fof(f2191,plain,
less(n3,n20),
inference(resolution,[],[f2179,f1689]) ).
fof(f2213,plain,
( less(n85,n100)
| ~ spl0_9 ),
inference(resolution,[],[f1771,f2084]) ).
fof(f2216,plain,
( $false
| spl0_1
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f2213,f2049]) ).
fof(f2217,plain,
( spl0_1
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2216]) ).
fof(f2219,plain,
( ~ less(n0,n65)
| spl0_2 ),
inference(resolution,[],[f1993,f2043]) ).
fof(f2582,plain,
! [X0,X1] :
( ~ rdn_positive_less(X1,rdn(rdnn(n5),rdnn(n6)))
| less(X0,n65)
| ~ rdn_translate(X0,rdn_pos(X1)) ),
inference(resolution,[],[f1751,f1966]) ).
fof(f2609,plain,
! [X0,X1] :
( less(X0,n65)
| ~ rdn_translate(X0,rdn_pos(rdnn(X1)))
| ~ rdn_non_zero(rdnn(n6)) ),
inference(resolution,[],[f2582,f1963]) ).
fof(f2613,plain,
! [X0,X1] :
( ~ rdn_translate(X0,rdn_pos(rdnn(X1)))
| less(X0,n65) ),
inference(forward_subsumption_resolution,[],[f2609,f2014]) ).
fof(f2616,plain,
less(n0,n65),
inference(resolution,[],[f2613,f1686]) ).
fof(f2620,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f2616,f2219]) ).
fof(f2621,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f2620]) ).
fof(f2624,plain,
( ~ less(n3,n20)
| spl0_3 ),
inference(resolution,[],[f1997,f2041]) ).
fof(f2630,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f2624,f2191]) ).
fof(f2631,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f2630]) ).
fof(f2634,plain,
( ~ less(n12,n30)
| spl0_4 ),
inference(resolution,[],[f2001,f2037]) ).
fof(f2940,plain,
( less(n12,n30)
| ~ rdn_positive_less(rdnn(n1),rdnn(n3)) ),
inference(resolution,[],[f1698,f2158]) ).
fof(f2981,plain,
( ~ rdn_positive_less(rdnn(n1),rdnn(n3))
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f2940,f2634]) ).
fof(f2984,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f2981,f2097]) ).
fof(f2985,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f2984]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f2002]) ).
cnf(s4,plain,
( ~ spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f2085]) ).
cnf(s5,plain,
spl0_7,
inference(sat_conversion,[],[f2092]) ).
cnf(s7,plain,
( spl0_1
| ~ spl0_9 ),
inference(sat_conversion,[],[f2217]) ).
cnf(s35,plain,
spl0_2,
inference(sat_conversion,[],[f2621]) ).
cnf(s37,plain,
spl0_3,
inference(sat_conversion,[],[f2631]) ).
cnf(s60,plain,
spl0_4,
inference(sat_conversion,[],[f2985]) ).
cnf(s70,plain,
spl0_9,
inference(rat,[],[s4,s5]) ).
cnf(s71,plain,
spl0_1,
inference(rat,[],[s7,s70]) ).
cnf(s74,plain,
$false,
inference(rat,[],[s1,s60,s37,s35,s71]) ).
fof(f2986,plain,
$false,
inference(avatar_sat_refutation,[],[s74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : AGT011+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.19 % Computer : n008.cluster.edu
% 0.11/0.19 % Model : x86_64 x86_64
% 0.11/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.19 % Memory : 8046.5625MB
% 0.11/0.19 % OS : Linux 6.8.0-71-generic
% 0.11/0.19 % CPULimit : 300
% 0.11/0.19 % WCLimit : 300
% 0.11/0.19 % DateTime : Mon Sep 28 19:10:10 UTC 2026
% 0.11/0.19 % CPUTime :
% 0.11/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.22 Running first-order theorem proving
% 0.11/0.22 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
% 5.62/1.58 % (2537162)Detected formulas, will run a generic FOF schedule.
% 5.62/1.58 % (2537170)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=910082124:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.62/1.58 % (2537170)Refutation not found, incomplete strategy
% 5.62/1.58 % (2537170)------------------------------
% 5.62/1.58 % (2537170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.62/1.58 % (2537170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/1.58 % (2537170)CaDiCaL version: 2.1.3
% 5.62/1.58 % (2537170)Termination reason: Refutation not found, incomplete strategy
% 5.62/1.58 % (2537170)Time elapsed: 0.001 s
% 5.62/1.58 % (2537170)Peak memory usage: 87 MB
% 5.62/1.58 % (2537170)Instructions burned: 2 (million)
% 5.62/1.58 % (2537172)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2956274734:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.62/1.58 % (2537171)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=905779077:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.62/1.58 % (2537167)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=1019076214:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.62/1.58 % (2537173)dis-21_1_sil=8000:lcm=predicate:random_seed=2211052491: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)
% 5.62/1.58 % (2537168)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=4259133030:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.62/1.58 % (2537169)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=212537924:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.62/1.58 % (2537171)Refutation not found, incomplete strategy
% 5.62/1.58 % (2537171)------------------------------
% 5.62/1.58 % (2537171)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.62/1.58 % (2537171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/1.58 % (2537171)CaDiCaL version: 2.1.3
% 5.62/1.58 % (2537171)Termination reason: Refutation not found, incomplete strategy
% 5.62/1.58 % (2537171)Time elapsed: 0.007 s
% 5.62/1.58 % (2537171)Peak memory usage: 88 MB
% 5.62/1.58 % (2537171)Instructions burned: 13 (million)
% 5.62/1.58 % (2537173)Instruction limit reached!
% 5.62/1.58 % (2537173)------------------------------
% 5.62/1.58 % (2537173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.62/1.58 % (2537173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/1.58 % (2537173)CaDiCaL version: 2.1.3
% 5.62/1.58 % (2537173)Termination reason: Instruction limit
% 5.62/1.58 % (2537173)Termination phase: Saturation
% 5.62/1.58 % (2537173)Time elapsed: 0.063 s
% 5.62/1.58 % (2537173)Peak memory usage: 91 MB
% 5.62/1.58 % (2537173)Instructions burned: 131 (million)
% 5.62/1.58 % (2537172)Instruction limit reached!
% 5.62/1.58 % (2537172)------------------------------
% 5.62/1.58 % (2537172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.62/1.58 % (2537172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/1.58 % (2537172)CaDiCaL version: 2.1.3
% 5.62/1.58 % (2537172)Termination reason: Instruction limit
% 5.62/1.58 % (2537172)Termination phase: Saturation
% 5.62/1.58 % (2537172)Time elapsed: 0.078 s
% 5.62/1.58 % (2537172)Peak memory usage: 90 MB
% 5.62/1.58 % (2537172)Instructions burned: 140 (million)
% 5.62/1.58 % (2537170)------------------------------
% 5.62/1.58 % (2537170)------------------------------
% 5.62/1.58 % (2537181)lrs+10_1_sil=8000:sp=occurrence:random_seed=1525879236:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.62/1.58 % (2537182)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1844873523:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.62/1.58 % (2537183)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3178916569:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.62/1.58 % (2537183)Refutation not found, incomplete strategy
% 5.62/1.58 % (2537183)------------------------------
% 5.62/1.58 % (2537183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.51/1.97 % (2537183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.51/1.97 % (2537183)CaDiCaL version: 2.1.3
% 7.51/1.97 % (2537183)Termination reason: Refutation not found, incomplete strategy
% 7.51/1.97 % (2537183)Time elapsed: 0.001 s
% 7.51/1.97 % (2537183)Peak memory usage: 88 MB
% 7.51/1.97 % (2537183)Instructions burned: 3 (million)
% 7.51/1.97 % (2537182)Refutation not found, incomplete strategy
% 7.51/1.97 % (2537182)------------------------------
% 7.51/1.97 % (2537182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.51/1.97 % (2537182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.51/1.97 % (2537182)CaDiCaL version: 2.1.3
% 7.51/1.97 % (2537182)Termination reason: Refutation not found, incomplete strategy
% 7.51/1.97 % (2537182)Time elapsed: 0.005 s
% 7.51/1.97 % (2537182)Peak memory usage: 88 MB
% 7.51/1.97 % (2537182)Instructions burned: 9 (million)
% 7.51/1.97 % (2537181)Refutation not found, incomplete strategy
% 7.51/1.97 % (2537181)------------------------------
% 7.51/1.97 % (2537181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.51/1.97 % (2537181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.51/1.97 % (2537181)CaDiCaL version: 2.1.3
% 7.51/1.97 % (2537181)Termination reason: Refutation not found, incomplete strategy
% 7.51/1.97 % (2537181)Time elapsed: 0.010 s
% 7.51/1.97 % (2537181)Peak memory usage: 89 MB
% 7.51/1.97 % (2537181)Instructions burned: 17 (million)
% 7.51/1.97 % (2537171)------------------------------
% 7.51/1.97 % (2537171)------------------------------
% 7.51/1.97 % (2537183)------------------------------
% 7.51/1.97 % (2537183)------------------------------
% 7.51/1.97 % (2537187)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=1417083949:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 7.51/1.97 [W928 19:10:11.095204162 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.
% 7.51/1.97 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.51/1.97 [W928 19:10:11.095234832 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.
% 7.51/1.97 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.51/1.97 [W928 19:10:11.095274039 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.
% 7.51/1.97 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.51/1.97 [W928 19:10:11.095296169 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.
% 7.51/1.97 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.51/1.97 [W928 19:10:11.095321649 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.
% 7.51/1.97 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.51/1.97 [W928 19:10:11.095332479 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.
% 7.51/1.97 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.51/1.97 % (2537188)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1120484674:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 7.51/1.97 % (2537182)------------------------------
% 7.51/1.97 % (2537182)------------------------------
% 7.51/1.97 % (2537188)Refutation not found, incomplete strategy
% 7.51/1.97 % (2537188)------------------------------
% 7.51/1.97 % (2537188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.51/1.97 % (2537188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.51/1.97 % (2537188)CaDiCaL version: 2.1.3
% 7.51/1.97 % (2537188)Termination reason: Refutation not found, incomplete strategy
% 7.51/1.97 % (2537188)Time elapsed: 0.004 s
% 7.51/1.97 % (2537188)Peak memory usage: 88 MB
% 7.51/1.97 % (2537188)Instructions burned: 13 (million)
% 7.51/1.97 % (2537181)------------------------------
% 7.51/1.97 % (2537181)------------------------------
% 7.51/1.97 % (2537187)Instruction limit reached!
% 7.51/1.97 % (2537187)------------------------------
% 7.51/1.97 % (2537187)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.51/1.97 % (2537187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.51/1.97 % (2537187)CaDiCaL version: 2.1.3
% 7.51/1.97 % (2537187)Termination reason: Instruction limit
% 7.51/1.97 % (2537187)Termination phase: Saturation
% 7.51/1.97 % (2537187)Time elapsed: 0.128 s
% 7.51/1.97 % (2537187)Peak memory usage: 93 MB
% 7.51/1.97 % (2537187)Instructions burned: 249 (million)
% 7.51/1.97 % (2537169)Refutation not found, incomplete strategy
% 7.51/1.97 % (2537169)------------------------------
% 7.51/1.97 % (2537169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.51/1.97 % (2537169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.51/1.97 % (2537169)CaDiCaL version: 2.1.3
% 7.51/1.97 % (2537169)Termination reason: Refutation not found, incomplete strategy
% 7.51/1.97 % (2537169)Time elapsed: 0.562 s
% 7.51/1.97 % (2537169)Peak memory usage: 128 MB
% 7.51/1.97 % (2537169)Instructions burned: 836 (million)
% 7.51/1.97 % (2537216)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=969981452:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 7.51/1.97 % (2537213)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=226779485:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 7.51/1.97 % (2537216)Refutation not found, incomplete strategy
% 7.51/1.97 % (2537216)------------------------------
% 7.51/1.97 % (2537216)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.51/1.97 % (2537216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.51/1.97 % (2537216)CaDiCaL version: 2.1.3
% 7.51/1.98 % (2537216)Termination reason: Refutation not found, incomplete strategy
% 7.51/1.98 % (2537216)Time elapsed: 0.006 s
% 7.51/1.98 % (2537216)Peak memory usage: 89 MB
% 7.51/1.98 % (2537216)Instructions burned: 9 (million)
% 7.51/1.98 % (2537188)------------------------------
% 7.51/1.98 % (2537188)------------------------------
% 7.51/1.98 % (2537233)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1345628814:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 7.51/1.98 % (2537233)Instruction limit reached!
% 7.51/1.98 % (2537233)------------------------------
% 7.51/1.98 % (2537233)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.51/1.98 % (2537233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.51/1.98 % (2537233)CaDiCaL version: 2.1.3
% 7.51/1.98 % (2537233)Termination reason: Instruction limit
% 7.51/1.98 % (2537233)Termination phase: Saturation
% 7.51/1.98 % (2537233)Time elapsed: 0.063 s
% 7.51/1.98 % (2537233)Peak memory usage: 89 MB
% 7.51/1.98 % (2537233)Instructions burned: 128 (million)
% 7.51/1.98 % (2537268)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2017561802:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 7.51/1.98 % (2537268)Refutation not found, incomplete strategy
% 7.51/1.98 % (2537268)------------------------------
% 7.51/1.98 % (2537268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.51/1.98 % (2537268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.51/1.98 % (2537268)CaDiCaL version: 2.1.3
% 7.51/1.98 % (2537268)Termination reason: Refutation not found, incomplete strategy
% 7.51/1.98 % (2537268)Time elapsed: 0.012 s
% 7.51/1.98 % (2537268)Peak memory usage: 89 MB
% 7.51/1.98 % (2537268)Instructions burned: 41 (million)
% 7.51/1.98 % (2537168)Refutation not found, incomplete strategy
% 7.51/1.98 % (2537168)------------------------------
% 7.51/1.98 % (2537168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.51/1.98 % (2537168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.51/1.98 % (2537168)CaDiCaL version: 2.1.3
% 7.51/1.98 % (2537168)Termination reason: Refutation not found, incomplete strategy
% 7.51/1.98 % (2537168)Time elapsed: 0.754 s
% 7.51/1.98 % (2537168)Peak memory usage: 132 MB
% 7.51/1.98 % (2537168)Instructions burned: 1127 (million)
% 7.51/1.98 % (2537169)------------------------------
% 7.51/1.98 % (2537169)------------------------------
% 7.51/1.98 % (2537216)------------------------------
% 7.51/1.98 % (2537216)------------------------------
% 7.51/1.98 % (2537291)lrs+10_1_sil=8000:sp=occurrence:random_seed=438943914:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 7.51/1.98 % (2537291)Refutation not found, incomplete strategy
% 7.51/1.98 % (2537291)------------------------------
% 7.51/1.98 % (2537291)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.51/1.98 % (2537291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.51/1.98 % (2537291)CaDiCaL version: 2.1.3
% 7.51/1.98 % (2537291)Termination reason: Refutation not found, incomplete strategy
% 7.51/1.98 % (2537291)Time elapsed: 0.011 s
% 7.51/1.98 % (2537291)Peak memory usage: 89 MB
% 7.51/1.98 % (2537291)Instructions burned: 19 (million)
% 7.51/1.98 % (2537268)------------------------------
% 7.51/1.98 % (2537268)------------------------------
% 7.51/1.98 % (2537167)First to succeed.
% 7.51/1.98 % (2537167)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2537162"
% 7.51/1.98 % (2537348)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3506136329:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 7.51/1.98 % (2537321)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3227874020:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 7.51/1.98 % (2537331)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=398583494:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 7.51/1.98 % (2537321)Refutation not found, incomplete strategy
% 7.51/1.98 % (2537321)------------------------------
% 7.51/1.98 % (2537321)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.51/1.98 % (2537321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.51/1.98 % (2537321)CaDiCaL version: 2.1.3
% 7.51/1.98 % (2537321)Termination reason: Refutation not found, incomplete strategy
% 7.51/1.98 % (2537321)Time elapsed: 0.002 s
% 7.51/1.98 % (2537321)Peak memory usage: 87 MB
% 7.51/1.98 % (2537321)Instructions burned: 2 (million)
% 7.51/1.98 % (2537348)Instruction limit reached!
% 7.51/1.98 % (2537348)------------------------------
% 7.51/1.98 % (2537348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.51/1.98 % (2537348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.51/1.98 % (2537348)CaDiCaL version: 2.1.3
% 7.51/1.98 % (2537348)Termination reason: Instruction limit
% 7.51/1.98 % (2537348)Termination phase: Saturation
% 7.51/1.98 % (2537348)Time elapsed: 0.034 s
% 7.51/1.98 % (2537348)Peak memory usage: 91 MB
% 7.51/1.98 % (2537348)Instructions burned: 134 (million)
% 7.51/1.98 % (2537168)------------------------------
% 7.51/1.98 % (2537168)------------------------------
% 7.51/1.98 % (2537291)------------------------------
% 7.51/1.98 % (2537291)------------------------------
% 7.51/1.98 % (2537359)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=6600430:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 7.51/1.98 % (2537359)Refutation not found, incomplete strategy
% 7.51/1.98 % (2537359)------------------------------
% 7.51/1.98 % (2537359)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.51/1.98 % (2537359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.51/1.98 % (2537359)CaDiCaL version: 2.1.3
% 7.51/1.98 % (2537359)Termination reason: Refutation not found, incomplete strategy
% 7.51/1.98 % (2537359)Time elapsed: 0.004 s
% 7.51/1.98 % (2537359)Peak memory usage: 88 MB
% 7.51/1.98 % (2537359)Instructions burned: 13 (million)
% 7.51/1.98 % (2537167)Refutation found. Thanks to Tanya!
% 7.51/1.98 % SZS status Theorem for theBenchmark
% 7.51/1.98 % SZS output start Proof for theBenchmark
% See solution above
% 9.77/2.18 % (2537167)------------------------------
% 9.77/2.18 % (2537167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.77/2.18 % (2537167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.77/2.18 % (2537167)CaDiCaL version: 2.1.3
% 9.77/2.18 % (2537167)Termination reason: Refutation
% 9.77/2.18 % (2537167)Time elapsed: 0.879 s
% 9.77/2.18 % (2537167)Peak memory usage: 138 MB
% 9.77/2.18 % (2537167)Instructions burned: 1338 (million)
% 9.77/2.18 % (2537167)------------------------------
% 9.77/2.18 % (2537167)------------------------------
% 9.77/2.18 % (2537162)Success in time 1.308 s
% 9.77/2.18 % Vampire exiting
%------------------------------------------------------------------------------