%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : AGT019+1 : 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 : n014.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 09:06:36 AM UTC 2026
% Result : Theorem 7.17s 1.78s
% Output : Refutation 9.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 32
% Syntax : Number of formulae : 138 ( 50 unt; 5 def)
% Number of atoms : 373 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 404 ( 169 ~; 162 |; 56 &)
% ( 9 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 17 usr; 6 prp; 0-4 aty)
% Number of functors : 30 ( 30 usr; 27 con; 0-2 aty)
% Number of variables : 153 ( 0 sgn 149 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2,X3] :
( accept_team(X0,X3,X1,X2)
<=> ( accept_city(X0,X1)
& accept_leader(X0,X3)
& accept_number(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_1) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( accept_population(X0,X3,X1)
& less(X2,X1) )
=> accept_population(X0,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_3) ).
fof(f5,axiom,
! [X0,X1,X2] :
( any_agent_in_all_proposed_teams(X0,X1,X2)
=> accept_leader(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_5) ).
fof(f6,axiom,
! [X0,X1,X2] :
( the_agent_not_in_any_proposed_teams(X0,X1,X2)
=> ~ ( accept_city(X0,X2)
& accept_leader(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_6) ).
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(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(f19,axiom,
! [X0] :
( ( accept_population(X0,atheist,n78)
& accept_population(X0,christian,n20)
& accept_population(X0,muslim,n1)
& accept_population(X0,native,n0)
& accept_population(X0,other,n1) )
<=> accept_city(X0,cityb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_12) ).
fof(f31,axiom,
the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_11) ).
fof(f32,axiom,
any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_12) ).
fof(f117,axiom,
accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,coastvillage,n6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_97) ).
fof(f193,axiom,
accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_173) ).
fof(f270,axiom,
rdn_translate(n0,rdn_pos(rdnn(n0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn0) ).
fof(f271,axiom,
rdn_translate(n1,rdn_pos(rdnn(n1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn1) ).
fof(f294,axiom,
rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn24) ).
fof(f345,axiom,
rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn75) ).
fof(f348,axiom,
rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn78) ).
fof(f527,axiom,
rdn_non_zero_digit(rdnn(n2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit2) ).
fof(f532,axiom,
rdn_non_zero_digit(rdnn(n7)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit7) ).
fof(f540,axiom,
rdn_positive_less(rdnn(n5),rdnn(n6)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less56) ).
fof(f541,axiom,
rdn_positive_less(rdnn(n6),rdnn(n7)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less67) ).
fof(f542,axiom,
rdn_positive_less(rdnn(n7),rdnn(n8)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less78) ).
fof(f544,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(f546,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(f547,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(f548,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(f550,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(f556,conjecture,
? [X0,X1] : ~ accept_population(X0,X1,n24),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_19) ).
fof(f557,negated_conjecture,
~ ? [X0,X1] : ~ accept_population(X0,X1,n24),
inference(negated_conjecture,[status(cth)],[f556]) ).
fof(f564,plain,
! [X0,X1,X2,X3] :
( accept_population(X0,X3,X2)
| ~ accept_population(X0,X3,X1)
| ~ less(X2,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f565,plain,
! [X0,X1,X2,X3] :
( accept_population(X0,X3,X2)
| ~ accept_population(X0,X3,X1)
| ~ less(X2,X1) ),
inference(flattening,[],[f564]) ).
fof(f567,plain,
! [X0,X1,X2] :
( accept_leader(X0,X1)
| ~ any_agent_in_all_proposed_teams(X0,X1,X2) ),
inference(ennf_transformation,[],[f5]) ).
fof(f568,plain,
! [X0,X1,X2] :
( ~ accept_city(X0,X2)
| ~ accept_leader(X0,X1)
| ~ the_agent_not_in_any_proposed_teams(X0,X1,X2) ),
inference(ennf_transformation,[],[f6]) ).
fof(f569,plain,
! [X0,X1,X2] :
( ~ accept_city(X0,X2)
| ~ accept_leader(X0,X1)
| ~ the_agent_not_in_any_proposed_teams(X0,X1,X2) ),
inference(flattening,[],[f568]) ).
fof(f570,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,[],[f544]) ).
fof(f571,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,[],[f570]) ).
fof(f573,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,[],[f546]) ).
fof(f574,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,[],[f573]) ).
fof(f575,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2))
| ~ rdn_non_zero(X2) ),
inference(ennf_transformation,[],[f547]) ).
fof(f576,plain,
! [X0] :
( rdn_non_zero(rdnn(X0))
| ~ rdn_non_zero_digit(rdnn(X0)) ),
inference(ennf_transformation,[],[f548]) ).
fof(f578,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,[],[f550]) ).
fof(f579,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,[],[f578]) ).
fof(f584,plain,
! [X0,X1] : accept_population(X0,X1,n24),
inference(ennf_transformation,[],[f557]) ).
fof(f585,plain,
! [X0,X1,X2,X3] :
( ( accept_team(X0,X3,X1,X2)
| ~ accept_city(X0,X1)
| ~ accept_leader(X0,X3)
| ~ accept_number(X0,X2) )
& ( ( accept_city(X0,X1)
& accept_leader(X0,X3)
& accept_number(X0,X2) )
| ~ accept_team(X0,X3,X1,X2) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f586,plain,
! [X0,X1,X2,X3] :
( ( accept_team(X0,X3,X1,X2)
| ~ accept_city(X0,X1)
| ~ accept_leader(X0,X3)
| ~ accept_number(X0,X2) )
& ( ( accept_city(X0,X1)
& accept_leader(X0,X3)
& accept_number(X0,X2) )
| ~ accept_team(X0,X3,X1,X2) ) ),
inference(flattening,[],[f585]) ).
fof(f599,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(f600,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,[],[f599]) ).
fof(f603,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(f604,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,[],[f603]) ).
fof(f609,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n78)
& accept_population(X0,christian,n20)
& accept_population(X0,muslim,n1)
& accept_population(X0,native,n0)
& accept_population(X0,other,n1) )
| ~ accept_city(X0,cityb) )
& ( accept_city(X0,cityb)
| ~ accept_population(X0,atheist,n78)
| ~ accept_population(X0,christian,n20)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,other,n1) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f610,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n78)
& accept_population(X0,christian,n20)
& accept_population(X0,muslim,n1)
& accept_population(X0,native,n0)
& accept_population(X0,other,n1) )
| ~ accept_city(X0,cityb) )
& ( accept_city(X0,cityb)
| ~ accept_population(X0,atheist,n78)
| ~ accept_population(X0,christian,n20)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,other,n1) ) ),
inference(flattening,[],[f609]) ).
fof(f617,plain,
! [X2,X3,X0,X1] :
( ~ accept_team(X0,X3,X1,X2)
| accept_city(X0,X1) ),
inference(cnf_transformation,[],[f586]) ).
fof(f620,plain,
! [X2,X3,X0,X1] :
( ~ accept_population(X0,X3,X1)
| accept_population(X0,X3,X2)
| ~ less(X2,X1) ),
inference(cnf_transformation,[],[f565]) ).
fof(f623,plain,
! [X2,X0,X1] :
( ~ any_agent_in_all_proposed_teams(X0,X1,X2)
| accept_leader(X0,X1) ),
inference(cnf_transformation,[],[f567]) ).
fof(f624,plain,
! [X2,X0,X1] :
( ~ the_agent_not_in_any_proposed_teams(X0,X1,X2)
| ~ accept_leader(X0,X1)
| ~ accept_city(X0,X2) ),
inference(cnf_transformation,[],[f569]) ).
fof(f662,plain,
! [X0] :
( accept_population(X0,other,n0)
| ~ accept_city(X0,coastvillage) ),
inference(cnf_transformation,[],[f600]) ).
fof(f673,plain,
! [X0] :
( 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(cnf_transformation,[],[f604]) ).
fof(f696,plain,
! [X0] :
( accept_population(X0,atheist,n78)
| ~ accept_city(X0,cityb) ),
inference(cnf_transformation,[],[f610]) ).
fof(f713,plain,
the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
inference(cnf_transformation,[],[f31]) ).
fof(f714,plain,
any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
inference(cnf_transformation,[],[f32]) ).
fof(f799,plain,
accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,coastvillage,n6),
inference(cnf_transformation,[],[f117]) ).
fof(f875,plain,
accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n6),
inference(cnf_transformation,[],[f193]) ).
fof(f952,plain,
rdn_translate(n0,rdn_pos(rdnn(n0))),
inference(cnf_transformation,[],[f270]) ).
fof(f953,plain,
rdn_translate(n1,rdn_pos(rdnn(n1))),
inference(cnf_transformation,[],[f271]) ).
fof(f976,plain,
rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
inference(cnf_transformation,[],[f294]) ).
fof(f1027,plain,
rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
inference(cnf_transformation,[],[f345]) ).
fof(f1030,plain,
rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
inference(cnf_transformation,[],[f348]) ).
fof(f1209,plain,
rdn_non_zero_digit(rdnn(n2)),
inference(cnf_transformation,[],[f527]) ).
fof(f1214,plain,
rdn_non_zero_digit(rdnn(n7)),
inference(cnf_transformation,[],[f532]) ).
fof(f1222,plain,
rdn_positive_less(rdnn(n5),rdnn(n6)),
inference(cnf_transformation,[],[f540]) ).
fof(f1223,plain,
rdn_positive_less(rdnn(n6),rdnn(n7)),
inference(cnf_transformation,[],[f541]) ).
fof(f1224,plain,
rdn_positive_less(rdnn(n7),rdnn(n8)),
inference(cnf_transformation,[],[f542]) ).
fof(f1226,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,[],[f571]) ).
fof(f1228,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,[],[f574]) ).
fof(f1229,plain,
! [X2,X0,X1] :
( rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2))
| ~ rdn_non_zero(X2) ),
inference(cnf_transformation,[],[f575]) ).
fof(f1230,plain,
! [X0] :
( ~ rdn_non_zero_digit(rdnn(X0))
| rdn_non_zero(rdnn(X0)) ),
inference(cnf_transformation,[],[f576]) ).
fof(f1232,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,[],[f579]) ).
fof(f1238,plain,
! [X0,X1] : accept_population(X0,X1,n24),
inference(cnf_transformation,[],[f584]) ).
fof(f1240,plain,
! [X0] :
( ~ accept_population(X0,other,n0)
| ~ accept_population(X0,atheist,n75)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,native,n0)
| accept_city(X0,towna) ),
inference(forward_subsumption_resolution,[],[f673,f1238]) ).
fof(f1241,plain,
( ~ accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization)
| ~ accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(resolution,[],[f713,f624]) ).
fof(f1243,definition,
( spl0_1
<=> accept_city(muslimcountrybhumanitarianorganization,towna) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f1245,plain,
( ~ accept_city(muslimcountrybhumanitarianorganization,towna)
| spl0_1 ),
inference(avatar_component_clause,[],[f1243]) ).
fof(f1247,definition,
( spl0_2
<=> accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f1250,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f1241,f1247,f1243]) ).
fof(f1267,plain,
rdn_non_zero(rdnn(n2)),
inference(resolution,[],[f1230,f1209]) ).
fof(f1270,plain,
! [X0] :
( ~ accept_population(X0,native,n0)
| ~ accept_population(X0,atheist,n75)
| ~ accept_population(X0,muslim,n1)
| ~ accept_city(X0,coastvillage)
| accept_city(X0,towna) ),
inference(resolution,[],[f662,f1240]) ).
fof(f1278,plain,
accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization),
inference(resolution,[],[f714,f623]) ).
fof(f1279,plain,
spl0_2,
inference(avatar_split_clause,[],[f1278,f1247]) ).
fof(f1282,plain,
! [X0,X1] :
( ~ rdn_positive_less(X1,rdn(rdnn(n4),rdnn(n2)))
| less(X0,n24)
| ~ rdn_translate(X0,rdn_pos(X1)) ),
inference(resolution,[],[f1232,f976]) ).
fof(f1288,plain,
! [X0,X1] :
( ~ rdn_non_zero(rdnn(n2))
| less(X0,n24)
| ~ rdn_translate(X0,rdn_pos(rdnn(X1))) ),
inference(resolution,[],[f1229,f1282]) ).
fof(f1294,definition,
( spl0_6
<=> rdn_non_zero(rdnn(n7)) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f1295,plain,
( rdn_non_zero(rdnn(n7))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f1294]) ).
fof(f1296,plain,
( ~ rdn_non_zero(rdnn(n7))
| spl0_6 ),
inference(avatar_component_clause,[],[f1294]) ).
fof(f1298,plain,
! [X0,X1] :
( ~ rdn_translate(X0,rdn_pos(rdnn(X1)))
| less(X0,n24) ),
inference(forward_subsumption_resolution,[],[f1288,f1267]) ).
fof(f1299,plain,
less(n1,n24),
inference(resolution,[],[f1298,f953]) ).
fof(f1300,plain,
less(n0,n24),
inference(resolution,[],[f1298,f952]) ).
fof(f1306,plain,
rdn_non_zero(rdnn(n7)),
inference(resolution,[],[f1214,f1230]) ).
fof(f1307,plain,
( $false
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f1306,f1296]) ).
fof(f1308,plain,
spl0_6,
inference(avatar_contradiction_clause,[],[f1307]) ).
fof(f1319,plain,
! [X0] :
( ~ rdn_positive_less(rdnn(X0),rdnn(n7))
| rdn_positive_less(rdnn(X0),rdnn(n8)) ),
inference(resolution,[],[f1226,f1224]) ).
fof(f1327,plain,
! [X0] :
( ~ rdn_positive_less(rdnn(X0),rdnn(n6))
| rdn_positive_less(rdnn(X0),rdnn(n7)) ),
inference(resolution,[],[f1226,f1223]) ).
fof(f1331,plain,
rdn_positive_less(rdnn(n5),rdnn(n7)),
inference(resolution,[],[f1327,f1222]) ).
fof(f1332,plain,
rdn_positive_less(rdnn(n5),rdnn(n8)),
inference(resolution,[],[f1331,f1319]) ).
fof(f1374,plain,
accept_city(muslimcountrybhumanitarianorganization,cityb),
inference(resolution,[],[f875,f617]) ).
fof(f1384,plain,
accept_city(muslimcountrybhumanitarianorganization,coastvillage),
inference(resolution,[],[f799,f617]) ).
fof(f1422,plain,
! [X2,X0,X1] :
( accept_population(X0,X1,X2)
| ~ less(X2,n24) ),
inference(resolution,[],[f620,f1238]) ).
fof(f1426,plain,
! [X0,X1] :
( accept_population(X0,atheist,X1)
| ~ less(X1,n78)
| ~ accept_city(X0,cityb) ),
inference(resolution,[],[f620,f696]) ).
fof(f1446,plain,
! [X0] :
( ~ less(n0,n24)
| ~ accept_population(X0,atheist,n75)
| ~ accept_population(X0,muslim,n1)
| ~ accept_city(X0,coastvillage)
| accept_city(X0,towna) ),
inference(resolution,[],[f1422,f1270]) ).
fof(f1462,plain,
! [X0] :
( ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,atheist,n75)
| ~ accept_city(X0,coastvillage)
| accept_city(X0,towna) ),
inference(forward_subsumption_resolution,[],[f1446,f1300]) ).
fof(f1473,definition,
( spl0_15
<=> ! [X0] :
( ~ accept_city(X0,coastvillage)
| ~ accept_city(X0,cityb)
| accept_city(X0,towna) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f1474,plain,
( ! [X0] :
( ~ accept_city(X0,cityb)
| ~ accept_city(X0,coastvillage)
| accept_city(X0,towna) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f1473]) ).
fof(f1480,plain,
! [X0] :
( ~ accept_population(X0,atheist,n75)
| ~ accept_city(X0,coastvillage)
| accept_city(X0,towna)
| ~ less(n1,n24) ),
inference(resolution,[],[f1462,f1422]) ).
fof(f1481,plain,
! [X0] :
( ~ accept_population(X0,atheist,n75)
| ~ accept_city(X0,coastvillage)
| accept_city(X0,towna) ),
inference(forward_subsumption_resolution,[],[f1480,f1299]) ).
fof(f1634,plain,
! [X0] :
( ~ less(n75,n78)
| ~ accept_city(X0,cityb)
| ~ accept_city(X0,coastvillage)
| accept_city(X0,towna) ),
inference(resolution,[],[f1426,f1481]) ).
fof(f1641,definition,
( spl0_28
<=> less(n75,n78) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f1643,plain,
( ~ less(n75,n78)
| spl0_28 ),
inference(avatar_component_clause,[],[f1641]) ).
fof(f1646,plain,
( spl0_15
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f1634,f1641,f1473]) ).
fof(f2241,plain,
! [X0,X1] :
( ~ rdn_positive_less(X1,rdn(rdnn(n8),rdnn(n7)))
| less(X0,n78)
| ~ rdn_translate(X0,rdn_pos(X1)) ),
inference(resolution,[],[f1030,f1232]) ).
fof(f2261,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,[],[f2241,f1228]) ).
fof(f2263,plain,
( ! [X0,X1] :
( ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(n7))))
| less(X0,n78)
| ~ rdn_positive_less(rdnn(X1),rdnn(n8)) )
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f2261,f1295]) ).
fof(f2276,plain,
( less(n75,n78)
| ~ rdn_positive_less(rdnn(n5),rdnn(n8))
| ~ spl0_6 ),
inference(resolution,[],[f2263,f1027]) ).
fof(f2279,plain,
( ~ rdn_positive_less(rdnn(n5),rdnn(n8))
| ~ spl0_6
| spl0_28 ),
inference(forward_subsumption_resolution,[],[f2276,f1643]) ).
fof(f2289,plain,
( $false
| ~ spl0_6
| spl0_28 ),
inference(forward_subsumption_resolution,[],[f2279,f1332]) ).
fof(f2290,plain,
( ~ spl0_6
| spl0_28 ),
inference(avatar_contradiction_clause,[],[f2289]) ).
fof(f2291,plain,
( ~ accept_city(muslimcountrybhumanitarianorganization,coastvillage)
| accept_city(muslimcountrybhumanitarianorganization,towna)
| ~ spl0_15 ),
inference(resolution,[],[f1474,f1374]) ).
fof(f2294,plain,
( accept_city(muslimcountrybhumanitarianorganization,towna)
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f2291,f1384]) ).
fof(f2295,plain,
( $false
| spl0_1
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f2294,f1245]) ).
fof(f2296,plain,
( spl0_1
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f2295]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f1250]) ).
cnf(s3,plain,
spl0_2,
inference(sat_conversion,[],[f1279]) ).
cnf(s6,plain,
spl0_6,
inference(sat_conversion,[],[f1308]) ).
cnf(s27,plain,
( spl0_15
| ~ spl0_28 ),
inference(sat_conversion,[],[f1646]) ).
cnf(s62,plain,
( ~ spl0_6
| spl0_28 ),
inference(sat_conversion,[],[f2290]) ).
cnf(s63,plain,
( spl0_1
| ~ spl0_15 ),
inference(sat_conversion,[],[f2296]) ).
cnf(s69,plain,
spl0_28,
inference(rat,[],[s62,s6]) ).
cnf(s71,plain,
spl0_15,
inference(rat,[],[s27,s69]) ).
cnf(s73,plain,
spl0_1,
inference(rat,[],[s63,s71]) ).
cnf(s76,plain,
$false,
inference(rat,[],[s1,s3,s73]) ).
fof(f2297,plain,
$false,
inference(avatar_sat_refutation,[],[s76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT019+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n014.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 19:12:00 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 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
% 5.64/1.37 % (2084840)Detected formulas, will run a generic FOF schedule.
% 5.64/1.37 % (2084850)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3756590649:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.64/1.37 % (2084849)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=797354865:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.64/1.37 % (2084848)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=214324235:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.64/1.37 % (2084845)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=581318521:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.64/1.37 % (2084846)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=2523558695:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.64/1.37 % (2084851)dis-21_1_sil=8000:lcm=predicate:random_seed=3387582101: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)
% 5.64/1.37 % (2084847)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=3518016188:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.64/1.37 % (2084848)Refutation not found, incomplete strategy
% 5.64/1.37 % (2084848)------------------------------
% 5.64/1.37 % (2084848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.64/1.37 % (2084848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.64/1.37 % (2084849)Refutation not found, incomplete strategy
% 5.64/1.37 % (2084849)------------------------------
% 5.64/1.37 % (2084849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.64/1.37 % (2084849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.64/1.37 % (2084848)CaDiCaL version: 2.1.3
% 5.64/1.37 % (2084848)Termination reason: Refutation not found, incomplete strategy
% 5.64/1.37 % (2084848)Time elapsed: 0.002 s
% 5.64/1.37 % (2084849)CaDiCaL version: 2.1.3
% 5.64/1.37 % (2084848)Peak memory usage: 87 MB
% 5.64/1.37 % (2084849)Termination reason: Refutation not found, incomplete strategy
% 5.64/1.37 % (2084849)Time elapsed: 0.002 s
% 5.64/1.37 % (2084849)Peak memory usage: 87 MB
% 5.64/1.37 % (2084848)Instructions burned: 2 (million)
% 5.64/1.37 % (2084849)Instructions burned: 2 (million)
% 5.64/1.37 % (2084850)Instruction limit reached!
% 5.64/1.37 % (2084850)------------------------------
% 5.64/1.37 % (2084850)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.64/1.37 % (2084850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.64/1.37 % (2084850)CaDiCaL version: 2.1.3
% 5.64/1.37 % (2084850)Termination reason: Instruction limit
% 5.64/1.37 % (2084850)Termination phase: Saturation
% 5.64/1.37 % (2084850)Time elapsed: 0.045 s
% 5.64/1.37 % (2084850)Peak memory usage: 90 MB
% 5.64/1.37 % (2084850)Instructions burned: 140 (million)
% 5.64/1.37 % (2084851)Instruction limit reached!
% 5.64/1.37 % (2084851)------------------------------
% 5.64/1.37 % (2084851)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.64/1.37 % (2084851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.64/1.37 % (2084851)CaDiCaL version: 2.1.3
% 5.64/1.37 % (2084851)Termination reason: Instruction limit
% 5.64/1.37 % (2084851)Termination phase: Saturation
% 5.64/1.37 % (2084851)Time elapsed: 0.071 s
% 5.64/1.37 % (2084851)Peak memory usage: 90 MB
% 5.64/1.37 % (2084851)Instructions burned: 131 (million)
% 5.64/1.37 % (2084859)lrs+10_1_sil=8000:sp=occurrence:random_seed=164915846:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.64/1.37 % (2084859)Refutation not found, incomplete strategy
% 5.64/1.37 % (2084859)------------------------------
% 5.64/1.37 % (2084859)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.64/1.37 % (2084859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.64/1.37 % (2084859)CaDiCaL version: 2.1.3
% 5.64/1.37 % (2084859)Termination reason: Refutation not found, incomplete strategy
% 5.64/1.37 % (2084859)Time elapsed: 0.001 s
% 5.64/1.37 % (2084859)Peak memory usage: 88 MB
% 5.64/1.37 % (2084859)Instructions burned: 2 (million)
% 5.64/1.37 % (2084860)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3743130987:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.17/1.78 % (2084860)Refutation not found, incomplete strategy
% 7.17/1.78 % (2084860)------------------------------
% 7.17/1.78 % (2084860)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.17/1.78 % (2084860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/1.78 % (2084860)CaDiCaL version: 2.1.3
% 7.17/1.78 % (2084860)Termination reason: Refutation not found, incomplete strategy
% 7.17/1.78 % (2084860)Time elapsed: 0.004 s
% 7.17/1.78 % (2084860)Peak memory usage: 88 MB
% 7.17/1.78 % (2084860)Instructions burned: 6 (million)
% 7.17/1.78 % (2084849)------------------------------
% 7.17/1.78 % (2084849)------------------------------
% 7.17/1.78 % (2084848)------------------------------
% 7.17/1.78 % (2084848)------------------------------
% 7.17/1.78 % (2084859)------------------------------
% 7.17/1.78 % (2084859)------------------------------
% 7.17/1.78 [W928 19:12:01.155035163 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.
% 7.17/1.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.17/1.78 [W928 19:12:01.155074870 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.
% 7.17/1.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.17/1.78 [W928 19:12:01.155114246 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.
% 7.17/1.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.17/1.78 [W928 19:12:01.155125473 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.
% 7.17/1.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.17/1.78 [W928 19:12:01.155217870 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.
% 7.17/1.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.17/1.78 [W928 19:12:01.155232403 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.
% 7.17/1.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.17/1.78 [W928 19:12:01.155258710 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.
% 7.17/1.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.17/1.78 [W928 19:12:01.155270620 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.
% 7.17/1.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.17/1.78 [W928 19:12:01.155296877 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.
% 7.17/1.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.17/1.78 [W928 19:12:01.155308497 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.
% 7.17/1.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.17/1.78 [W928 19:12:01.155334297 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.
% 7.17/1.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.17/1.78 [W928 19:12:01.155345813 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.
% 7.17/1.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.17/1.78 % (2084864)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=1308331226:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 7.17/1.78 % (2084863)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3241594917:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 7.17/1.78 % (2084863)Refutation not found, incomplete strategy
% 7.17/1.78 % (2084863)------------------------------
% 7.17/1.78 % (2084863)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.17/1.78 % (2084863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/1.78 % (2084863)CaDiCaL version: 2.1.3
% 7.17/1.78 % (2084863)Termination reason: Refutation not found, incomplete strategy
% 7.17/1.78 % (2084863)Time elapsed: 0.004 s
% 7.17/1.78 % (2084863)Peak memory usage: 88 MB
% 7.17/1.78 % (2084863)Instructions burned: 5 (million)
% 7.17/1.78 % (2084865)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3815742581:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 7.17/1.78 % (2084865)Refutation not found, incomplete strategy
% 7.17/1.78 % (2084865)------------------------------
% 7.17/1.78 % (2084865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.17/1.78 % (2084865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/1.78 % (2084865)CaDiCaL version: 2.1.3
% 7.17/1.78 % (2084865)Termination reason: Refutation not found, incomplete strategy
% 7.17/1.78 % (2084865)Time elapsed: 0.002 s
% 7.17/1.78 % (2084865)Peak memory usage: 88 MB
% 7.17/1.78 % (2084865)Instructions burned: 6 (million)
% 7.17/1.78 % (2084860)------------------------------
% 7.17/1.78 % (2084860)------------------------------
% 7.17/1.78 % (2084864)Instruction limit reached!
% 7.17/1.78 % (2084864)------------------------------
% 7.17/1.78 % (2084864)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.17/1.78 % (2084864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/1.78 % (2084864)CaDiCaL version: 2.1.3
% 7.17/1.78 % (2084864)Termination reason: Instruction limit
% 7.17/1.78 % (2084864)Termination phase: Saturation
% 7.17/1.78 % (2084864)Time elapsed: 0.116 s
% 7.17/1.78 % (2084864)Peak memory usage: 94 MB
% 7.17/1.78 % (2084864)Instructions burned: 249 (million)
% 7.17/1.78 % (2084846)Refutation not found, incomplete strategy
% 7.17/1.78 % (2084846)------------------------------
% 7.17/1.78 % (2084846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.17/1.78 % (2084846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/1.78 % (2084846)CaDiCaL version: 2.1.3
% 7.17/1.78 % (2084846)Termination reason: Refutation not found, incomplete strategy
% 7.17/1.78 % (2084846)Time elapsed: 0.562 s
% 7.17/1.78 % (2084846)Peak memory usage: 125 MB
% 7.17/1.78 % (2084846)Instructions burned: 832 (million)
% 7.17/1.78 % (2084865)------------------------------
% 7.17/1.78 % (2084865)------------------------------
% 7.17/1.78 % (2084847)Refutation not found, incomplete strategy
% 7.17/1.78 % (2084847)------------------------------
% 7.17/1.78 % (2084847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.17/1.78 % (2084847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/1.78 % (2084847)CaDiCaL version: 2.1.3
% 7.17/1.78 % (2084847)Termination reason: Refutation not found, incomplete strategy
% 7.17/1.78 % (2084847)Time elapsed: 0.610 s
% 7.17/1.78 % (2084847)Peak memory usage: 127 MB
% 7.17/1.78 % (2084847)Instructions burned: 904 (million)
% 7.17/1.78 % (2084869)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1041373407:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 7.17/1.78 % (2084863)------------------------------
% 7.17/1.78 % (2084863)------------------------------
% 7.17/1.78 % (2084870)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=168741948:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 7.17/1.78 % (2084870)Refutation not found, incomplete strategy
% 7.17/1.78 % (2084870)------------------------------
% 7.17/1.78 % (2084870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.17/1.78 % (2084870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/1.78 % (2084870)CaDiCaL version: 2.1.3
% 7.17/1.78 % (2084870)Termination reason: Refutation not found, incomplete strategy
% 7.17/1.78 % (2084870)Time elapsed: 0.002 s
% 7.17/1.78 % (2084870)Peak memory usage: 88 MB
% 7.17/1.78 % (2084870)Instructions burned: 2 (million)
% 7.17/1.78 % (2084871)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2339481599:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 7.17/1.78 % (2084871)Instruction limit reached!
% 7.17/1.78 % (2084871)------------------------------
% 7.17/1.78 % (2084871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.17/1.78 % (2084871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/1.78 % (2084871)CaDiCaL version: 2.1.3
% 7.17/1.78 % (2084871)Termination reason: Instruction limit
% 7.17/1.78 % (2084871)Termination phase: Saturation
% 7.17/1.78 % (2084871)Time elapsed: 0.032 s
% 7.17/1.78 % (2084871)Peak memory usage: 89 MB
% 7.17/1.78 % (2084871)Instructions burned: 130 (million)
% 7.17/1.78 % (2084846)------------------------------
% 7.17/1.78 % (2084846)------------------------------
% 7.17/1.78 % (2084845)First to succeed.
% 7.17/1.78 % (2084845)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2084840"
% 7.17/1.78 % (2084847)------------------------------
% 7.17/1.78 % (2084847)------------------------------
% 7.17/1.78 % (2084873)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3992431793:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 7.17/1.78 % (2084873)Refutation not found, incomplete strategy
% 7.17/1.78 % (2084873)------------------------------
% 7.17/1.78 % (2084873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.17/1.78 % (2084873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/1.78 % (2084873)CaDiCaL version: 2.1.3
% 7.17/1.78 % (2084873)Termination reason: Refutation not found, incomplete strategy
% 7.17/1.78 % (2084873)Time elapsed: 0.010 s
% 7.17/1.78 % (2084873)Peak memory usage: 88 MB
% 7.17/1.78 % (2084873)Instructions burned: 19 (million)
% 7.17/1.78 % (2084876)lrs+10_1_sil=8000:sp=occurrence:random_seed=4232810181:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 7.17/1.78 % (2084876)Refutation not found, incomplete strategy
% 7.17/1.78 % (2084876)------------------------------
% 7.17/1.78 % (2084876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.17/1.78 % (2084876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/1.78 % (2084876)CaDiCaL version: 2.1.3
% 7.17/1.78 % (2084876)Termination reason: Refutation not found, incomplete strategy
% 7.17/1.78 % (2084876)Time elapsed: 0.002 s
% 7.17/1.78 % (2084876)Peak memory usage: 88 MB
% 7.17/1.78 % (2084876)Instructions burned: 2 (million)
% 7.17/1.78 % (2084870)------------------------------
% 7.17/1.78 % (2084870)------------------------------
% 7.17/1.78 % (2084877)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2288137975:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 7.17/1.78 % (2084877)Refutation not found, incomplete strategy
% 7.17/1.78 % (2084877)------------------------------
% 7.17/1.78 % (2084877)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.17/1.78 % (2084877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/1.78 % (2084877)CaDiCaL version: 2.1.3
% 7.17/1.78 % (2084877)Termination reason: Refutation not found, incomplete strategy
% 7.17/1.78 % (2084877)Time elapsed: 0.002 s
% 7.17/1.78 % (2084877)Peak memory usage: 88 MB
% 7.17/1.78 % (2084877)Instructions burned: 2 (million)
% 7.17/1.78 % (2084879)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=199318616:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 7.17/1.78 % (2084876)------------------------------
% 7.17/1.78 % (2084876)------------------------------
% 7.17/1.78 % (2084845)Refutation found. Thanks to Tanya!
% 7.17/1.78 % SZS status Theorem for theBenchmark
% 7.17/1.78 % SZS output start Proof for theBenchmark
% See solution above
% 9.42/1.98 % (2084845)------------------------------
% 9.42/1.98 % (2084845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.42/1.98 % (2084845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.42/1.98 % (2084845)CaDiCaL version: 2.1.3
% 9.42/1.98 % (2084845)Termination reason: Refutation
% 9.42/1.98 % (2084845)Time elapsed: 0.841 s
% 9.42/1.98 % (2084845)Peak memory usage: 135 MB
% 9.42/1.98 % (2084845)Instructions burned: 1272 (million)
% 9.42/1.98 % (2084845)------------------------------
% 9.42/1.98 % (2084845)------------------------------
% 9.42/1.98 % (2084840)Success in time 1.277 s
% 9.42/1.98 % Vampire exiting
%------------------------------------------------------------------------------