%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : AGT024+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 : n011.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 09:06:38 AM UTC 2026
% Result : Theorem 6.54s 1.91s
% Output : Refutation 9.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 28
% Syntax : Number of formulae : 110 ( 54 unt; 3 def)
% Number of atoms : 235 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 227 ( 102 ~; 97 |; 19 &)
% ( 4 <=>; 5 =>; 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 : 88 ( 0 sgn 86 !; 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(f16,axiom,
! [X0] :
( ( accept_population(X0,atheist,n75)
& accept_population(X0,christian,n24)
& accept_population(X0,muslim,n1)
& accept_population(X0,native,n0)
& accept_population(X0,other,n0) )
<=> accept_city(X0,towna) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_9) ).
fof(f471,axiom,
accept_population(muslimcountrybhumanitarianorganization,other,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',deduced_202) ).
fof(f472,axiom,
accept_population(muslimcountrybhumanitarianorganization,native,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',deduced_203) ).
fof(f473,axiom,
accept_population(muslimcountrybhumanitarianorganization,muslim,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',deduced_204) ).
fof(f475,axiom,
accept_population(muslimcountrybhumanitarianorganization,atheist,n78),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',deduced_206) ).
fof(f635,axiom,
~ accept_city(muslimcountrybhumanitarianorganization,towna),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',deduced_366) ).
fof(f637,axiom,
rdn_translate(n0,rdn_pos(rdnn(n0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn0) ).
fof(f638,axiom,
rdn_translate(n1,rdn_pos(rdnn(n1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn1) ).
fof(f661,axiom,
rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn24) ).
fof(f662,axiom,
rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn25) ).
fof(f712,axiom,
rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn75) ).
fof(f715,axiom,
rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn78) ).
fof(f894,axiom,
rdn_non_zero_digit(rdnn(n2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit2) ).
fof(f899,axiom,
rdn_non_zero_digit(rdnn(n7)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit7) ).
fof(f902,axiom,
rdn_positive_less(rdnn(n0),rdnn(n1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less01) ).
fof(f906,axiom,
rdn_positive_less(rdnn(n4),rdnn(n5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less45) ).
fof(f907,axiom,
rdn_positive_less(rdnn(n5),rdnn(n6)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less56) ).
fof(f908,axiom,
rdn_positive_less(rdnn(n6),rdnn(n7)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less67) ).
fof(f909,axiom,
rdn_positive_less(rdnn(n7),rdnn(n8)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less78) ).
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(f913,axiom,
! [X0,X1,X2] :
( ( rdn_positive_less(rdnn(X0),rdnn(X2))
& rdn_non_zero(X1) )
=> rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less_multi_digit_low) ).
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_population(X0,christian,n25),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_24) ).
fof(f924,negated_conjecture,
~ ? [X0] : ~ accept_population(X0,christian,n25),
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(f940,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1))
| ~ rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_non_zero(X1) ),
inference(ennf_transformation,[],[f913]) ).
fof(f941,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1))
| ~ rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_non_zero(X1) ),
inference(flattening,[],[f940]) ).
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_population(X0,christian,n25),
inference(ennf_transformation,[],[f924]) ).
fof(f970,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n75)
& accept_population(X0,christian,n24)
& accept_population(X0,muslim,n1)
& accept_population(X0,native,n0)
& accept_population(X0,other,n0) )
| ~ accept_city(X0,towna) )
& ( accept_city(X0,towna)
| ~ accept_population(X0,atheist,n75)
| ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,other,n0) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f971,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n75)
& accept_population(X0,christian,n24)
& accept_population(X0,muslim,n1)
& accept_population(X0,native,n0)
& accept_population(X0,other,n0) )
| ~ accept_city(X0,towna) )
& ( accept_city(X0,towna)
| ~ accept_population(X0,atheist,n75)
| ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,other,n0) ) ),
inference(flattening,[],[f970]) ).
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(f1040,plain,
! [X0] :
( ~ accept_population(X0,other,n0)
| ~ accept_population(X0,atheist,n75)
| ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,native,n0)
| accept_city(X0,towna) ),
inference(cnf_transformation,[],[f971]) ).
fof(f1520,plain,
accept_population(muslimcountrybhumanitarianorganization,other,n1),
inference(cnf_transformation,[],[f471]) ).
fof(f1521,plain,
accept_population(muslimcountrybhumanitarianorganization,native,n0),
inference(cnf_transformation,[],[f472]) ).
fof(f1522,plain,
accept_population(muslimcountrybhumanitarianorganization,muslim,n1),
inference(cnf_transformation,[],[f473]) ).
fof(f1524,plain,
accept_population(muslimcountrybhumanitarianorganization,atheist,n78),
inference(cnf_transformation,[],[f475]) ).
fof(f1684,plain,
~ accept_city(muslimcountrybhumanitarianorganization,towna),
inference(cnf_transformation,[],[f635]) ).
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(f1710,plain,
rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
inference(cnf_transformation,[],[f661]) ).
fof(f1711,plain,
rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
inference(cnf_transformation,[],[f662]) ).
fof(f1761,plain,
rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
inference(cnf_transformation,[],[f712]) ).
fof(f1764,plain,
rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
inference(cnf_transformation,[],[f715]) ).
fof(f1943,plain,
rdn_non_zero_digit(rdnn(n2)),
inference(cnf_transformation,[],[f894]) ).
fof(f1948,plain,
rdn_non_zero_digit(rdnn(n7)),
inference(cnf_transformation,[],[f899]) ).
fof(f1951,plain,
rdn_positive_less(rdnn(n0),rdnn(n1)),
inference(cnf_transformation,[],[f902]) ).
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(f1958,plain,
rdn_positive_less(rdnn(n7),rdnn(n8)),
inference(cnf_transformation,[],[f909]) ).
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(f1962,plain,
! [X2,X0,X1] :
( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1))
| ~ rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_non_zero(X1) ),
inference(cnf_transformation,[],[f941]) ).
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_population(X0,christian,n25),
inference(cnf_transformation,[],[f951]) ).
fof(f1977,plain,
! [X0,X1] :
( ~ rdn_positive_less(X1,rdn(rdnn(n5),rdnn(n2)))
| less(X0,n25)
| ~ rdn_translate(X0,rdn_pos(X1)) ),
inference(resolution,[],[f1966,f1711]) ).
fof(f1978,plain,
! [X0,X1] :
( ~ rdn_positive_less(X1,rdnn(n1))
| less(X0,n1)
| ~ rdn_translate(X0,rdn_pos(X1)) ),
inference(resolution,[],[f1966,f1687]) ).
fof(f1980,plain,
rdn_non_zero(rdnn(n2)),
inference(resolution,[],[f1964,f1943]) ).
fof(f1984,plain,
rdn_non_zero(rdnn(n7)),
inference(resolution,[],[f1948,f1964]) ).
fof(f1986,plain,
! [X0,X1] :
( ~ rdn_positive_less(rdnn(X0),rdnn(n5))
| ~ rdn_non_zero(rdnn(n2))
| less(X1,n25)
| ~ rdn_translate(X1,rdn_pos(rdn(rdnn(X0),rdnn(n2)))) ),
inference(resolution,[],[f1962,f1977]) ).
fof(f1987,plain,
! [X0,X1] :
( ~ rdn_translate(X1,rdn_pos(rdn(rdnn(X0),rdnn(n2))))
| less(X1,n25)
| ~ rdn_positive_less(rdnn(X0),rdnn(n5)) ),
inference(forward_subsumption_resolution,[],[f1986,f1980]) ).
fof(f2003,plain,
! [X0] :
( ~ rdn_positive_less(rdnn(X0),rdnn(n7))
| rdn_positive_less(rdnn(X0),rdnn(n8)) ),
inference(resolution,[],[f1960,f1958]) ).
fof(f2010,plain,
! [X0] :
( ~ rdn_positive_less(rdnn(X0),rdnn(n6))
| rdn_positive_less(rdnn(X0),rdnn(n7)) ),
inference(resolution,[],[f1960,f1957]) ).
fof(f2015,plain,
rdn_positive_less(rdnn(n5),rdnn(n7)),
inference(resolution,[],[f2010,f1956]) ).
fof(f2016,plain,
rdn_positive_less(rdnn(n5),rdnn(n8)),
inference(resolution,[],[f2015,f2003]) ).
fof(f2039,plain,
! [X0,X1] :
( accept_population(X0,christian,X1)
| ~ less(X1,n25) ),
inference(resolution,[],[f987,f1972]) ).
fof(f2044,plain,
( less(n24,n25)
| ~ rdn_positive_less(rdnn(n4),rdnn(n5)) ),
inference(resolution,[],[f1710,f1987]) ).
fof(f2047,plain,
less(n24,n25),
inference(forward_subsumption_resolution,[],[f2044,f1955]) ).
fof(f2060,plain,
! [X0] :
( ~ rdn_translate(X0,rdn_pos(rdnn(n0)))
| less(X0,n1) ),
inference(resolution,[],[f1978,f1951]) ).
fof(f2070,plain,
! [X0] :
( accept_population(muslimcountrybhumanitarianorganization,other,X0)
| ~ less(X0,n1) ),
inference(resolution,[],[f1520,f987]) ).
fof(f2072,plain,
( ~ less(n0,n1)
| ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
| ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24)
| ~ accept_population(muslimcountrybhumanitarianorganization,muslim,n1)
| ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
| accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(resolution,[],[f2070,f1040]) ).
fof(f2074,plain,
( ~ less(n0,n1)
| ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
| ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24)
| ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
| accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(forward_subsumption_resolution,[],[f2072,f1522]) ).
fof(f2075,plain,
( ~ less(n0,n1)
| ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
| ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24)
| accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(forward_subsumption_resolution,[],[f2074,f1521]) ).
fof(f2076,plain,
( ~ less(n0,n1)
| ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
| ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24) ),
inference(forward_subsumption_resolution,[],[f2075,f1684]) ).
fof(f2078,definition,
( spl0_1
<=> accept_population(muslimcountrybhumanitarianorganization,christian,n24) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f2080,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24)
| spl0_1 ),
inference(avatar_component_clause,[],[f2078]) ).
fof(f2082,definition,
( spl0_2
<=> accept_population(muslimcountrybhumanitarianorganization,atheist,n75) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f2084,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
| spl0_2 ),
inference(avatar_component_clause,[],[f2082]) ).
fof(f2086,definition,
( spl0_3
<=> less(n0,n1) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f2088,plain,
( ~ less(n0,n1)
| spl0_3 ),
inference(avatar_component_clause,[],[f2086]) ).
fof(f2089,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f2076,f2086,f2082,f2078]) ).
fof(f2091,plain,
( ~ less(n24,n25)
| spl0_1 ),
inference(resolution,[],[f2080,f2039]) ).
fof(f2092,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f2091,f2047]) ).
fof(f2093,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f2092]) ).
fof(f2101,plain,
! [X0] :
( accept_population(muslimcountrybhumanitarianorganization,atheist,X0)
| ~ less(X0,n78) ),
inference(resolution,[],[f1524,f987]) ).
fof(f2224,plain,
less(n0,n1),
inference(resolution,[],[f2060,f1686]) ).
fof(f2225,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f2224,f2088]) ).
fof(f2226,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f2225]) ).
fof(f2234,plain,
( ~ less(n75,n78)
| spl0_2 ),
inference(resolution,[],[f2101,f2084]) ).
fof(f2278,plain,
! [X0,X1] :
( ~ rdn_positive_less(X1,rdn(rdnn(n8),rdnn(n7)))
| less(X0,n78)
| ~ rdn_translate(X0,rdn_pos(X1)) ),
inference(resolution,[],[f1764,f1966]) ).
fof(f2289,plain,
! [X0,X1] :
( less(X0,n78)
| ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(n7))))
| ~ rdn_positive_less(rdnn(X1),rdnn(n8))
| ~ rdn_non_zero(rdnn(n7)) ),
inference(resolution,[],[f2278,f1962]) ).
fof(f2291,plain,
! [X0,X1] :
( ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(n7))))
| less(X0,n78)
| ~ rdn_positive_less(rdnn(X1),rdnn(n8)) ),
inference(forward_subsumption_resolution,[],[f2289,f1984]) ).
fof(f2293,plain,
( less(n75,n78)
| ~ rdn_positive_less(rdnn(n5),rdnn(n8)) ),
inference(resolution,[],[f2291,f1761]) ).
fof(f2296,plain,
( ~ rdn_positive_less(rdnn(n5),rdnn(n8))
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f2293,f2234]) ).
fof(f2297,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f2296,f2016]) ).
fof(f2298,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f2297]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f2089]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f2093]) ).
cnf(s9,plain,
spl0_3,
inference(sat_conversion,[],[f2226]) ).
cnf(s12,plain,
spl0_2,
inference(sat_conversion,[],[f2298]) ).
cnf(s14,plain,
$false,
inference(rat,[],[s1,s9,s12,s2]) ).
fof(f2299,plain,
$false,
inference(avatar_sat_refutation,[],[s14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : AGT024+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.16 % Computer : n011.cluster.edu
% 0.12/0.16 % Model : x86_64 x86_64
% 0.12/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.16 % Memory : 8046.5625MB
% 0.12/0.16 % OS : Linux 6.8.0-71-generic
% 0.12/0.16 % CPULimit : 300
% 0.12/0.16 % WCLimit : 300
% 0.12/0.16 % DateTime : Mon Sep 28 19:14:01 UTC 2026
% 0.12/0.17 % CPUTime :
% 0.12/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.20 Running first-order theorem proving
% 0.12/0.20 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
% 5.01/1.45 % (3677109)Detected formulas, will run a generic FOF schedule.
% 5.01/1.45 % (3677115)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=656237790:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.01/1.45 % (3677120)dis-21_1_sil=8000:lcm=predicate:random_seed=3662365565: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)
% 5.01/1.45 % (3677119)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=291961217:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.01/1.45 % (3677117)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1232516846:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.01/1.45 % (3677118)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1411641492:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.01/1.45 % (3677114)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=1674155331:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.01/1.45 % (3677116)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=1040160840:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.01/1.45 % (3677117)Refutation not found, incomplete strategy
% 5.01/1.45 % (3677117)------------------------------
% 5.01/1.45 % (3677117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.01/1.45 % (3677117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.01/1.45 % (3677117)CaDiCaL version: 2.1.3
% 5.01/1.45 % (3677117)Termination reason: Refutation not found, incomplete strategy
% 5.01/1.45 % (3677117)Time elapsed: 0.002 s
% 5.01/1.45 % (3677117)Peak memory usage: 87 MB
% 5.01/1.45 % (3677117)Instructions burned: 2 (million)
% 5.01/1.45 % (3677118)Refutation not found, incomplete strategy
% 5.01/1.45 % (3677118)------------------------------
% 5.01/1.45 % (3677118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.01/1.45 % (3677118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.01/1.45 % (3677118)CaDiCaL version: 2.1.3
% 5.01/1.45 % (3677118)Termination reason: Refutation not found, incomplete strategy
% 5.01/1.45 % (3677118)Time elapsed: 0.006 s
% 5.01/1.45 % (3677118)Peak memory usage: 88 MB
% 5.01/1.45 % (3677118)Instructions burned: 11 (million)
% 5.01/1.45 % (3677120)Instruction limit reached!
% 5.01/1.45 % (3677120)------------------------------
% 5.01/1.45 % (3677120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.01/1.45 % (3677120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.01/1.45 % (3677120)CaDiCaL version: 2.1.3
% 5.01/1.45 % (3677120)Termination reason: Instruction limit
% 5.01/1.45 % (3677120)Termination phase: Saturation
% 5.01/1.45 % (3677120)Time elapsed: 0.063 s
% 5.01/1.45 % (3677120)Peak memory usage: 90 MB
% 5.01/1.45 % (3677120)Instructions burned: 131 (million)
% 5.01/1.45 % (3677119)Instruction limit reached!
% 5.01/1.45 % (3677119)------------------------------
% 5.01/1.45 % (3677119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.01/1.45 % (3677119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.01/1.45 % (3677119)CaDiCaL version: 2.1.3
% 5.01/1.45 % (3677119)Termination reason: Instruction limit
% 5.01/1.45 % (3677119)Termination phase: Saturation
% 5.01/1.45 % (3677119)Time elapsed: 0.080 s
% 5.01/1.45 % (3677119)Peak memory usage: 90 MB
% 5.01/1.45 % (3677119)Instructions burned: 139 (million)
% 5.01/1.45 % (3677128)lrs+10_1_sil=8000:sp=occurrence:random_seed=943479130:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.01/1.45 % (3677128)Refutation not found, incomplete strategy
% 5.01/1.45 % (3677128)------------------------------
% 5.01/1.45 % (3677128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.01/1.45 % (3677128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.01/1.45 % (3677128)CaDiCaL version: 2.1.3
% 5.01/1.45 % (3677128)Termination reason: Refutation not found, incomplete strategy
% 5.01/1.45 % (3677128)Time elapsed: 0.009 s
% 5.01/1.45 % (3677128)Peak memory usage: 89 MB
% 5.01/1.45 % (3677128)Instructions burned: 16 (million)
% 5.01/1.45 % (3677129)lrs+10_1_sil=32000:urr=on:br=off:random_seed=169055826:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.23/1.83 % (3677129)Refutation not found, incomplete strategy
% 7.23/1.83 % (3677129)------------------------------
% 7.23/1.83 % (3677129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.23/1.83 % (3677129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.23/1.83 % (3677129)CaDiCaL version: 2.1.3
% 7.23/1.83 % (3677129)Termination reason: Refutation not found, incomplete strategy
% 7.23/1.83 % (3677129)Time elapsed: 0.005 s
% 7.23/1.83 % (3677129)Peak memory usage: 88 MB
% 7.23/1.83 % (3677129)Instructions burned: 8 (million)
% 7.23/1.83 % (3677117)------------------------------
% 7.23/1.83 % (3677117)------------------------------
% 7.23/1.83 % (3677118)------------------------------
% 7.23/1.83 % (3677118)------------------------------
% 7.23/1.83 % (3677115)Refutation not found, incomplete strategy
% 7.23/1.83 % (3677115)------------------------------
% 7.23/1.83 % (3677115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.23/1.83 % (3677115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.23/1.83 % (3677115)CaDiCaL version: 2.1.3
% 7.23/1.83 % (3677115)Termination reason: Refutation not found, incomplete strategy
% 7.23/1.83 % (3677115)Time elapsed: 0.407 s
% 7.23/1.83 % (3677115)Peak memory usage: 132 MB
% 7.23/1.83 % (3677115)Instructions burned: 1099 (million)
% 7.23/1.83 % (3677132)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2588840740:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 7.23/1.83 % (3677132)Refutation not found, incomplete strategy
% 7.23/1.83 % (3677132)------------------------------
% 7.23/1.83 % (3677132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.23/1.83 % (3677132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.23/1.83 % (3677132)CaDiCaL version: 2.1.3
% 7.23/1.83 % (3677132)Termination reason: Refutation not found, incomplete strategy
% 7.23/1.83 % (3677132)Time elapsed: 0.003 s
% 7.23/1.83 % (3677132)Peak memory usage: 88 MB
% 7.23/1.83 % (3677132)Instructions burned: 3 (million)
% 7.23/1.83 % (3677133)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=214822572:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 7.23/1.83 [W928 19:14:02.283901754 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.
% 7.23/1.83 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.23/1.83 [W928 19:14:02.283929574 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.
% 7.23/1.83 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.23/1.83 [W928 19:14:02.283968087 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.
% 7.23/1.83 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.23/1.83 [W928 19:14:02.283980980 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.
% 7.23/1.83 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.23/1.83 [W928 19:14:02.284018020 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.
% 7.23/1.83 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.23/1.83 [W928 19:14:02.284030300 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.
% 7.23/1.83 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.23/1.83 [W928 19:14:02.284058127 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.
% 6.54/1.91 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.54/1.91 [W928 19:14:02.284069934 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.
% 6.54/1.91 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.54/1.91 [W928 19:14:02.284100657 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.
% 6.54/1.91 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.54/1.91 [W928 19:14:02.284112454 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.
% 6.54/1.91 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.54/1.91 [W928 19:14:02.284136767 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.
% 6.54/1.91 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.54/1.91 [W928 19:14:02.284147084 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.
% 6.54/1.91 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.54/1.91 % (3677128)------------------------------
% 6.54/1.91 % (3677128)------------------------------
% 6.54/1.91 % (3677129)------------------------------
% 6.54/1.91 % (3677129)------------------------------
% 6.54/1.91 % (3677133)Instruction limit reached!
% 6.54/1.91 % (3677133)------------------------------
% 6.54/1.91 % (3677133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.91 % (3677133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.91 % (3677133)CaDiCaL version: 2.1.3
% 6.54/1.91 % (3677133)Termination reason: Instruction limit
% 6.54/1.91 % (3677133)Termination phase: Saturation
% 6.54/1.91 % (3677133)Time elapsed: 0.126 s
% 6.54/1.91 % (3677133)Peak memory usage: 91 MB
% 6.54/1.91 % (3677133)Instructions burned: 249 (million)
% 6.54/1.91 % (3677115)------------------------------
% 6.54/1.91 % (3677115)------------------------------
% 6.54/1.91 % (3677116)Refutation not found, incomplete strategy
% 6.54/1.91 % (3677116)------------------------------
% 6.54/1.91 % (3677116)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.91 % (3677116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.91 % (3677116)CaDiCaL version: 2.1.3
% 6.54/1.91 % (3677116)Termination reason: Refutation not found, incomplete strategy
% 6.54/1.91 % (3677116)Time elapsed: 0.570 s
% 6.54/1.91 % (3677116)Peak memory usage: 126 MB
% 6.54/1.91 % (3677116)Instructions burned: 836 (million)
% 6.54/1.91 % (3677136)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=573820075:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 6.54/1.91 % (3677136)Refutation not found, incomplete strategy
% 6.54/1.91 % (3677136)------------------------------
% 6.54/1.91 % (3677136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.91 % (3677136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.91 % (3677136)CaDiCaL version: 2.1.3
% 6.54/1.91 % (3677136)Termination reason: Refutation not found, incomplete strategy
% 6.54/1.91 % (3677136)Time elapsed: 0.007 s
% 6.54/1.91 % (3677136)Peak memory usage: 88 MB
% 6.54/1.91 % (3677136)Instructions burned: 12 (million)
% 6.54/1.91 % (3677137)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4200890273:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 6.54/1.91 % (3677132)------------------------------
% 6.54/1.91 % (3677132)------------------------------
% 6.54/1.91 % (3677139)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=174737789:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 6.54/1.91 % (3677138)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3241068183:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.54/1.91 % (3677138)Refutation not found, incomplete strategy
% 6.54/1.91 % (3677138)------------------------------
% 6.54/1.91 % (3677138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.91 % (3677138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.91 % (3677138)CaDiCaL version: 2.1.3
% 6.54/1.91 % (3677138)Termination reason: Refutation not found, incomplete strategy
% 6.54/1.91 % (3677138)Time elapsed: 0.006 s
% 6.54/1.91 % (3677138)Peak memory usage: 88 MB
% 6.54/1.91 % (3677138)Instructions burned: 9 (million)
% 6.54/1.91 % (3677139)Instruction limit reached!
% 6.54/1.91 % (3677139)------------------------------
% 6.54/1.91 % (3677139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.91 % (3677139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.91 % (3677139)CaDiCaL version: 2.1.3
% 6.54/1.91 % (3677139)Termination reason: Instruction limit
% 6.54/1.91 % (3677139)Termination phase: Saturation
% 6.54/1.91 % (3677139)Time elapsed: 0.033 s
% 6.54/1.91 % (3677139)Peak memory usage: 89 MB
% 6.54/1.91 % (3677139)Instructions burned: 128 (million)
% 6.54/1.91 % (3677142)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2719845855:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.54/1.91 % (3677145)lrs+10_1_sil=8000:sp=occurrence:random_seed=504813811:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.54/1.91 % (3677145)Refutation not found, incomplete strategy
% 6.54/1.91 % (3677145)------------------------------
% 6.54/1.91 % (3677145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.91 % (3677145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.91 % (3677145)CaDiCaL version: 2.1.3
% 6.54/1.91 % (3677145)Termination reason: Refutation not found, incomplete strategy
% 6.54/1.91 % (3677145)Time elapsed: 0.006 s
% 6.54/1.91 % (3677145)Peak memory usage: 89 MB
% 6.54/1.91 % (3677145)Instructions burned: 20 (million)
% 6.54/1.91 % (3677142)Refutation not found, incomplete strategy
% 6.54/1.91 % (3677142)------------------------------
% 6.54/1.91 % (3677142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.91 % (3677142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.91 % (3677142)CaDiCaL version: 2.1.3
% 6.54/1.91 % (3677142)Termination reason: Refutation not found, incomplete strategy
% 6.54/1.91 % (3677142)Time elapsed: 0.023 s
% 6.54/1.91 % (3677142)Peak memory usage: 89 MB
% 6.54/1.91 % (3677142)Instructions burned: 42 (million)
% 6.54/1.91 % (3677116)------------------------------
% 6.54/1.91 % (3677116)------------------------------
% 6.54/1.91 % (3677114)First to succeed.
% 6.54/1.91 % (3677114)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3677109"
% 6.54/1.91 % (3677136)------------------------------
% 6.54/1.91 % (3677136)------------------------------
% 6.54/1.91 % (3677138)------------------------------
% 6.54/1.91 % (3677138)------------------------------
% 6.54/1.91 % (3677145)------------------------------
% 6.54/1.91 % (3677145)------------------------------
% 6.54/1.91 % (3677148)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1816824633:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 6.54/1.91 % (3677148)Refutation not found, incomplete strategy
% 6.54/1.91 % (3677148)------------------------------
% 6.54/1.91 % (3677148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.91 % (3677148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.91 % (3677148)CaDiCaL version: 2.1.3
% 6.54/1.91 % (3677148)Termination reason: Refutation not found, incomplete strategy
% 6.54/1.91 % (3677148)Time elapsed: 0.002 s
% 6.54/1.91 % (3677148)Peak memory usage: 87 MB
% 6.54/1.91 % (3677148)Instructions burned: 2 (million)
% 6.54/1.91 % (3677149)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2207943098:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 6.54/1.91 % (3677151)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1024724878:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 6.54/1.91 % (3677151)Refutation not found, incomplete strategy
% 6.54/1.91 % (3677151)------------------------------
% 6.54/1.91 % (3677151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.91 % (3677151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.91 % (3677151)CaDiCaL version: 2.1.3
% 6.54/1.91 % (3677151)Termination reason: Refutation not found, incomplete strategy
% 6.54/1.91 % (3677151)Time elapsed: 0.004 s
% 6.54/1.91 % (3677151)Peak memory usage: 88 MB
% 6.54/1.91 % (3677151)Instructions burned: 13 (million)
% 6.54/1.91 % (3677150)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4000831667:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 6.54/1.91 % (3677142)------------------------------
% 6.54/1.91 % (3677142)------------------------------
% 6.54/1.91 % (3677150)Refutation not found, incomplete strategy
% 6.54/1.91 % (3677150)------------------------------
% 6.54/1.91 % (3677150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.91 % (3677150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.91 % (3677150)CaDiCaL version: 2.1.3
% 6.54/1.91 % (3677150)Termination reason: Refutation not found, incomplete strategy
% 6.54/1.91 % (3677150)Time elapsed: 0.008 s
% 6.54/1.91 % (3677150)Peak memory usage: 89 MB
% 6.54/1.91 % (3677150)Instructions burned: 12 (million)
% 6.54/1.91 % (3677114)Refutation found. Thanks to Tanya!
% 6.54/1.91 % SZS status Theorem for theBenchmark
% 6.54/1.91 % SZS output start Proof for theBenchmark
% See solution above
% 9.43/2.11 % (3677114)------------------------------
% 9.43/2.11 % (3677114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.11 % (3677114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.11 % (3677114)CaDiCaL version: 2.1.3
% 9.43/2.11 % (3677114)Termination reason: Refutation
% 9.43/2.11 % (3677114)Time elapsed: 0.825 s
% 9.43/2.11 % (3677114)Peak memory usage: 138 MB
% 9.43/2.11 % (3677114)Instructions burned: 1248 (million)
% 9.43/2.11 % (3677114)------------------------------
% 9.43/2.11 % (3677114)------------------------------
% 9.43/2.11 % (3677109)Success in time 1.268 s
% 9.43/2.11 % Vampire exiting
%------------------------------------------------------------------------------