%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : AGT020+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 : n006.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 7.45s 1.98s
% Output : Refutation 9.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 26
% Syntax : Number of formulae : 114 ( 38 unt; 4 def)
% Number of atoms : 331 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 371 ( 154 ~; 146 |; 56 &)
% ( 8 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 5 prp; 0-4 aty)
% Number of functors : 28 ( 28 usr; 25 con; 0-2 aty)
% Number of variables : 136 ( 0 sgn 132 !; 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(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(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(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,christian,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_20) ).
fof(f557,negated_conjecture,
~ ? [X0,X1] : ~ accept_population(X0,christian,X1),
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(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,christian,X1),
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(f693,plain,
! [X0] :
( accept_population(X0,native,n0)
| ~ accept_city(X0,cityb) ),
inference(cnf_transformation,[],[f610]) ).
fof(f694,plain,
! [X0] :
( accept_population(X0,muslim,n1)
| ~ accept_city(X0,cityb) ),
inference(cnf_transformation,[],[f610]) ).
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(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(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(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,christian,X1),
inference(cnf_transformation,[],[f584]) ).
fof(f1244,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(f1253,plain,
( ~ accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization)
| ~ accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(resolution,[],[f713,f624]) ).
fof(f1255,definition,
( spl0_1
<=> accept_city(muslimcountrybhumanitarianorganization,towna) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f1257,plain,
( ~ accept_city(muslimcountrybhumanitarianorganization,towna)
| spl0_1 ),
inference(avatar_component_clause,[],[f1255]) ).
fof(f1259,definition,
( spl0_2
<=> accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f1262,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f1253,f1259,f1255]) ).
fof(f1284,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,f1244]) ).
fof(f1286,plain,
! [X0] :
( ~ accept_population(X0,atheist,n75)
| ~ accept_population(X0,muslim,n1)
| ~ accept_city(X0,coastvillage)
| accept_city(X0,towna)
| ~ accept_city(X0,cityb) ),
inference(resolution,[],[f1284,f693]) ).
fof(f1287,plain,
! [X0] :
( ~ accept_population(X0,atheist,n75)
| ~ accept_city(X0,coastvillage)
| accept_city(X0,towna)
| ~ accept_city(X0,cityb) ),
inference(forward_subsumption_resolution,[],[f1286,f694]) ).
fof(f1289,plain,
accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization),
inference(resolution,[],[f714,f623]) ).
fof(f1290,plain,
spl0_2,
inference(avatar_split_clause,[],[f1289,f1259]) ).
fof(f1298,plain,
rdn_non_zero(rdnn(n7)),
inference(resolution,[],[f1214,f1230]) ).
fof(f1306,plain,
! [X0] :
( ~ rdn_positive_less(rdnn(X0),rdnn(n7))
| rdn_positive_less(rdnn(X0),rdnn(n8)) ),
inference(resolution,[],[f1226,f1224]) ).
fof(f1314,plain,
! [X0] :
( ~ rdn_positive_less(rdnn(X0),rdnn(n6))
| rdn_positive_less(rdnn(X0),rdnn(n7)) ),
inference(resolution,[],[f1226,f1223]) ).
fof(f1318,plain,
rdn_positive_less(rdnn(n5),rdnn(n7)),
inference(resolution,[],[f1314,f1222]) ).
fof(f1319,plain,
rdn_positive_less(rdnn(n5),rdnn(n8)),
inference(resolution,[],[f1318,f1306]) ).
fof(f1350,plain,
accept_city(muslimcountrybhumanitarianorganization,cityb),
inference(resolution,[],[f875,f617]) ).
fof(f1359,plain,
accept_city(muslimcountrybhumanitarianorganization,coastvillage),
inference(resolution,[],[f799,f617]) ).
fof(f1374,plain,
! [X0,X1] :
( accept_population(X0,atheist,X1)
| ~ less(X1,n78)
| ~ accept_city(X0,cityb) ),
inference(resolution,[],[f620,f696]) ).
fof(f1416,definition,
( spl0_9
<=> ! [X0] :
( ~ accept_city(X0,coastvillage)
| ~ accept_city(X0,cityb)
| accept_city(X0,towna) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f1417,plain,
( ! [X0] :
( ~ accept_city(X0,cityb)
| ~ accept_city(X0,coastvillage)
| accept_city(X0,towna) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f1416]) ).
fof(f1508,plain,
! [X0] :
( ~ less(n75,n78)
| ~ accept_city(X0,cityb)
| ~ accept_city(X0,coastvillage)
| accept_city(X0,towna)
| ~ accept_city(X0,cityb) ),
inference(resolution,[],[f1374,f1287]) ).
fof(f1510,plain,
! [X0] :
( ~ less(n75,n78)
| ~ accept_city(X0,cityb)
| ~ accept_city(X0,coastvillage)
| accept_city(X0,towna) ),
inference(duplicate_literal_removal,[],[f1508]) ).
fof(f1512,definition,
( spl0_23
<=> less(n75,n78) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f1514,plain,
( ~ less(n75,n78)
| spl0_23 ),
inference(avatar_component_clause,[],[f1512]) ).
fof(f1515,plain,
( spl0_9
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f1510,f1512,f1416]) ).
fof(f1958,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(f1978,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,[],[f1958,f1228]) ).
fof(f1980,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,[],[f1978,f1298]) ).
fof(f1983,plain,
( less(n75,n78)
| ~ rdn_positive_less(rdnn(n5),rdnn(n8)) ),
inference(resolution,[],[f1980,f1027]) ).
fof(f1986,plain,
( ~ rdn_positive_less(rdnn(n5),rdnn(n8))
| spl0_23 ),
inference(forward_subsumption_resolution,[],[f1983,f1514]) ).
fof(f1996,plain,
( $false
| spl0_23 ),
inference(forward_subsumption_resolution,[],[f1986,f1319]) ).
fof(f1997,plain,
spl0_23,
inference(avatar_contradiction_clause,[],[f1996]) ).
fof(f1998,plain,
( ~ accept_city(muslimcountrybhumanitarianorganization,coastvillage)
| accept_city(muslimcountrybhumanitarianorganization,towna)
| ~ spl0_9 ),
inference(resolution,[],[f1417,f1350]) ).
fof(f2001,plain,
( accept_city(muslimcountrybhumanitarianorganization,towna)
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f1998,f1359]) ).
fof(f2002,plain,
( $false
| spl0_1
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f2001,f1257]) ).
fof(f2003,plain,
( spl0_1
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2002]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f1262]) ).
cnf(s4,plain,
spl0_2,
inference(sat_conversion,[],[f1290]) ).
cnf(s15,plain,
( spl0_9
| ~ spl0_23 ),
inference(sat_conversion,[],[f1515]) ).
cnf(s39,plain,
spl0_23,
inference(sat_conversion,[],[f1997]) ).
cnf(s40,plain,
( spl0_1
| ~ spl0_9 ),
inference(sat_conversion,[],[f2003]) ).
cnf(s41,plain,
spl0_9,
inference(rat,[],[s15,s39]) ).
cnf(s42,plain,
spl0_1,
inference(rat,[],[s40,s41]) ).
cnf(s45,plain,
$false,
inference(rat,[],[s1,s4,s42]) ).
fof(f2004,plain,
$false,
inference(avatar_sat_refutation,[],[s45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT020+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 % Computer : n006.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Mon Sep 28 19:12:10 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.24 Running first-order theorem proving
% 0.07/0.24 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
% 3.88/1.25 % (82260)Detected formulas, will run a generic FOF schedule.
% 3.88/1.25 % (82267)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=1610327652:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.88/1.25 % (82266)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=438547235:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.88/1.25 % (82269)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2069808309:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.88/1.25 % (82265)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=1137232834:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.88/1.25 % (82268)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=697034367:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.88/1.25 % (82270)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3305888540:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.88/1.25 % (82271)dis-21_1_sil=8000:lcm=predicate:random_seed=338279275: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)
% 3.88/1.25 % (82269)Refutation not found, incomplete strategy
% 3.88/1.25 % (82269)------------------------------
% 3.88/1.25 % (82269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.25 % (82269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.25 % (82269)CaDiCaL version: 2.1.3
% 3.88/1.25 % (82269)Termination reason: Refutation not found, incomplete strategy
% 3.88/1.25 % (82269)Time elapsed: 0.002 s
% 3.88/1.25 % (82268)Refutation not found, incomplete strategy
% 3.88/1.25 % (82268)------------------------------
% 3.88/1.25 % (82268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.25 % (82269)Peak memory usage: 86 MB
% 3.88/1.25 % (82269)Instructions burned: 2 (million)
% 3.88/1.25 % (82268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.25 % (82268)CaDiCaL version: 2.1.3
% 3.88/1.25 % (82268)Termination reason: Refutation not found, incomplete strategy
% 3.88/1.25 % (82268)Time elapsed: 0.002 s
% 3.88/1.25 % (82268)Peak memory usage: 87 MB
% 3.88/1.25 % (82268)Instructions burned: 1 (million)
% 3.88/1.25 % (82271)Instruction limit reached!
% 3.88/1.25 % (82271)------------------------------
% 3.88/1.25 % (82271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.25 % (82271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.25 % (82271)CaDiCaL version: 2.1.3
% 3.88/1.25 % (82271)Termination reason: Instruction limit
% 3.88/1.25 % (82271)Termination phase: Saturation
% 3.88/1.25 % (82271)Time elapsed: 0.068 s
% 3.88/1.25 % (82271)Peak memory usage: 90 MB
% 3.88/1.25 % (82271)Instructions burned: 129 (million)
% 3.88/1.25 % (82270)Instruction limit reached!
% 3.88/1.25 % (82270)------------------------------
% 3.88/1.25 % (82270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.25 % (82270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.25 % (82270)CaDiCaL version: 2.1.3
% 3.88/1.25 % (82270)Termination reason: Instruction limit
% 3.88/1.25 % (82270)Termination phase: Saturation
% 3.88/1.25 % (82270)Time elapsed: 0.084 s
% 3.88/1.25 % (82270)Peak memory usage: 90 MB
% 3.88/1.25 % (82270)Instructions burned: 139 (million)
% 3.88/1.25 [W928 19:12:11.836669799 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.
% 3.88/1.25 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.88/1.25 [W928 19:12:11.836700870 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.
% 3.88/1.25 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.88/1.25 [W928 19:12:11.836725119 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.
% 5.22/1.54 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.22/1.54 [W928 19:12:11.836731493 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.
% 5.22/1.54 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.22/1.54 [W928 19:12:11.836744920 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.
% 5.22/1.54 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.22/1.54 [W928 19:12:11.836750842 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.
% 5.22/1.54 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.22/1.54 [W928 19:12:11.836763813 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.
% 5.22/1.54 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.22/1.54 [W928 19:12:11.836769613 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.
% 5.22/1.54 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.22/1.54 [W928 19:12:11.836782057 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.
% 5.22/1.54 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.22/1.54 [W928 19:12:11.836787805 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.
% 5.22/1.54 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.22/1.54 [W928 19:12:11.836799973 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.
% 5.22/1.54 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.22/1.54 [W928 19:12:11.836805530 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.
% 5.22/1.54 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.22/1.54 % (82279)lrs+10_1_sil=8000:sp=occurrence:random_seed=1776417088:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.22/1.54 % (82279)Refutation not found, incomplete strategy
% 5.22/1.54 % (82279)------------------------------
% 5.22/1.54 % (82279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.22/1.54 % (82279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.54 % (82279)CaDiCaL version: 2.1.3
% 5.22/1.54 % (82279)Termination reason: Refutation not found, incomplete strategy
% 5.22/1.54 % (82279)Time elapsed: 0.002 s
% 5.22/1.54 % (82279)Peak memory usage: 87 MB
% 5.22/1.54 % (82279)Instructions burned: 1 (million)
% 5.22/1.54 % (82269)------------------------------
% 5.22/1.54 % (82269)------------------------------
% 5.22/1.54 % (82268)------------------------------
% 5.22/1.54 % (82268)------------------------------
% 5.22/1.54 % (82280)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4071420058:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.22/1.54 % (82280)Refutation not found, incomplete strategy
% 5.22/1.54 % (82280)------------------------------
% 5.22/1.54 % (82280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.45/1.97 % (82280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.45/1.97 % (82280)CaDiCaL version: 2.1.3
% 7.45/1.97 % (82280)Termination reason: Refutation not found, incomplete strategy
% 7.45/1.97 % (82280)Time elapsed: 0.003 s
% 7.45/1.97 % (82280)Peak memory usage: 87 MB
% 7.45/1.97 % (82280)Instructions burned: 6 (million)
% 7.45/1.97 % (82267)Refutation not found, incomplete strategy
% 7.45/1.97 % (82267)------------------------------
% 7.45/1.97 % (82267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.45/1.97 % (82267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.45/1.97 % (82267)CaDiCaL version: 2.1.3
% 7.45/1.97 % (82267)Termination reason: Refutation not found, incomplete strategy
% 7.45/1.97 % (82267)Time elapsed: 0.325 s
% 7.45/1.97 % (82267)Peak memory usage: 127 MB
% 7.45/1.97 % (82267)Instructions burned: 835 (million)
% 7.45/1.97 [W928 19:12:11.058299670 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.
% 7.45/1.98 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.45/1.98 [W928 19:12:11.058337917 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.
% 7.45/1.98 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.45/1.98 [W928 19:12:11.058378350 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.
% 7.45/1.98 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.45/1.98 [W928 19:12:11.058391974 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.
% 7.45/1.98 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.45/1.98 [W928 19:12:11.058417854 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.
% 7.45/1.98 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.45/1.98 [W928 19:12:11.058429717 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.
% 7.45/1.98 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.45/1.98 [W928 19:12:11.058455860 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.
% 7.45/1.98 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.45/1.98 [W928 19:12:11.058524697 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.
% 7.45/1.98 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.45/1.98 [W928 19:12:11.058562641 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.
% 7.45/1.98 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.45/1.98 [W928 19:12:11.058574437 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.
% 7.45/1.98 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.45/1.98 [W928 19:12:11.058599661 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.
% 7.45/1.98 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.45/1.98 [W928 19:12:11.058611171 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.
% 7.45/1.98 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.45/1.98 % (82282)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2725137930:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 7.45/1.98 % (82284)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=3147997325:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 7.45/1.98 % (82282)Refutation not found, incomplete strategy
% 7.45/1.98 % (82282)------------------------------
% 7.45/1.98 % (82282)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.45/1.98 % (82282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.45/1.98 % (82282)CaDiCaL version: 2.1.3
% 7.45/1.98 % (82282)Termination reason: Refutation not found, incomplete strategy
% 7.45/1.98 % (82282)Time elapsed: 0.004 s
% 7.45/1.98 % (82282)Peak memory usage: 88 MB
% 7.45/1.98 % (82282)Instructions burned: 5 (million)
% 7.45/1.98 % (82267)------------------------------
% 7.45/1.98 % (82267)------------------------------
% 7.45/1.98 % (82279)------------------------------
% 7.45/1.98 % (82279)------------------------------
% 7.45/1.98 % (82280)------------------------------
% 7.45/1.98 % (82280)------------------------------
% 7.45/1.98 % (82284)Instruction limit reached!
% 7.45/1.98 % (82284)------------------------------
% 7.45/1.98 % (82284)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.45/1.98 % (82284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.45/1.98 % (82284)CaDiCaL version: 2.1.3
% 7.45/1.98 % (82284)Termination reason: Instruction limit
% 7.45/1.98 % (82284)Termination phase: Saturation
% 7.45/1.98 % (82284)Time elapsed: 0.114 s
% 7.45/1.98 % (82284)Peak memory usage: 94 MB
% 7.45/1.98 % (82284)Instructions burned: 248 (million)
% 7.45/1.98 % (82287)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3264551959:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 7.45/1.98 % (82287)Refutation not found, incomplete strategy
% 7.45/1.98 % (82287)------------------------------
% 7.45/1.98 % (82287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.45/1.98 % (82287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.45/1.98 % (82287)CaDiCaL version: 2.1.3
% 7.45/1.98 % (82287)Termination reason: Refutation not found, incomplete strategy
% 7.45/1.98 % (82287)Time elapsed: 0.001 s
% 7.45/1.98 % (82287)Peak memory usage: 88 MB
% 7.45/1.98 % (82287)Instructions burned: 3 (million)
% 7.45/1.98 % (82266)Refutation not found, incomplete strategy
% 7.45/1.98 % (82266)------------------------------
% 7.45/1.98 % (82266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.45/1.98 % (82266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.45/1.98 % (82266)CaDiCaL version: 2.1.3
% 7.45/1.98 % (82266)Termination reason: Refutation not found, incomplete strategy
% 7.45/1.98 % (82266)Time elapsed: 0.566 s
% 7.45/1.98 % (82266)Peak memory usage: 127 MB
% 7.45/1.98 % (82266)Instructions burned: 839 (million)
% 7.45/1.98 % (82288)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2486628170:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 7.45/1.98 % (82282)------------------------------
% 7.45/1.98 % (82282)------------------------------
% 7.45/1.98 % (82290)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2149642995:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 7.45/1.98 % (82289)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2163191037:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 7.45/1.98 % (82289)Refutation not found, incomplete strategy
% 7.45/1.98 % (82289)------------------------------
% 7.45/1.98 % (82289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.45/1.98 % (82289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.45/1.98 % (82289)CaDiCaL version: 2.1.3
% 7.45/1.98 % (82289)Termination reason: Refutation not found, incomplete strategy
% 7.45/1.98 % (82289)Time elapsed: 0.002 s
% 7.45/1.98 % (82289)Peak memory usage: 87 MB
% 7.45/1.98 % (82289)Instructions burned: 1 (million)
% 7.45/1.98 % (82287)------------------------------
% 7.45/1.98 % (82287)------------------------------
% 7.45/1.98 % (82290)Instruction limit reached!
% 7.45/1.98 % (82290)------------------------------
% 7.45/1.98 % (82290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.45/1.98 % (82290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.45/1.98 % (82290)CaDiCaL version: 2.1.3
% 7.45/1.98 % (82290)Termination reason: Instruction limit
% 7.45/1.98 % (82290)Termination phase: Saturation
% 7.45/1.98 % (82290)Time elapsed: 0.060 s
% 7.45/1.98 % (82290)Peak memory usage: 88 MB
% 7.45/1.98 % (82290)Instructions burned: 127 (million)
% 7.45/1.98 % (82266)------------------------------
% 7.45/1.98 % (82266)------------------------------
% 7.45/1.98 % (82293)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=342065954:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 7.45/1.98 % (82293)Refutation not found, incomplete strategy
% 7.45/1.98 % (82293)------------------------------
% 7.45/1.98 % (82293)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.45/1.98 % (82293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.45/1.98 % (82293)CaDiCaL version: 2.1.3
% 7.45/1.98 % (82293)Termination reason: Refutation not found, incomplete strategy
% 7.45/1.98 % (82293)Time elapsed: 0.008 s
% 7.45/1.98 % (82293)Peak memory usage: 88 MB
% 7.45/1.98 % (82293)Instructions burned: 15 (million)
% 7.45/1.98 % (82265)First to succeed.
% 7.45/1.98 % (82265)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-82260"
% 7.45/1.98 % (82296)lrs+10_1_sil=8000:sp=occurrence:random_seed=4262410841:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 7.45/1.98 % (82296)Refutation not found, incomplete strategy
% 7.45/1.98 % (82296)------------------------------
% 7.45/1.98 % (82296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.45/1.98 % (82296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.45/1.98 % (82296)CaDiCaL version: 2.1.3
% 7.45/1.98 % (82296)Termination reason: Refutation not found, incomplete strategy
% 7.45/1.98 % (82296)Time elapsed: 0.001 s
% 7.45/1.98 % (82296)Peak memory usage: 87 MB
% 7.45/1.98 % (82296)Instructions burned: 2 (million)
% 7.45/1.98 % (82297)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=598241802:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 7.45/1.98 % (82297)Refutation not found, incomplete strategy
% 7.45/1.98 % (82297)------------------------------
% 7.45/1.98 % (82297)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.45/1.98 % (82297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.45/1.98 % (82297)CaDiCaL version: 2.1.3
% 7.45/1.98 % (82297)Termination reason: Refutation not found, incomplete strategy
% 7.45/1.98 % (82297)Time elapsed: 0.002 s
% 7.45/1.98 % (82297)Peak memory usage: 87 MB
% 7.45/1.98 % (82297)Instructions burned: 1 (million)
% 7.45/1.98 % (82289)------------------------------
% 7.45/1.98 % (82289)------------------------------
% 7.45/1.98 % (82299)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1574134412:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 7.45/1.98 % (82296)------------------------------
% 7.45/1.98 % (82296)------------------------------
% 7.45/1.98 % (82293)------------------------------
% 7.45/1.98 % (82293)------------------------------
% 7.45/1.98 % (82302)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1612651204:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 7.45/1.98 % (82302)Refutation not found, incomplete strategy
% 7.45/1.98 % (82302)------------------------------
% 7.45/1.98 % (82302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.45/1.98 % (82302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.45/1.98 % (82302)CaDiCaL version: 2.1.3
% 7.45/1.98 % (82302)Termination reason: Refutation not found, incomplete strategy
% 7.45/1.98 % (82302)Time elapsed: 0.002 s
% 7.45/1.98 % (82302)Peak memory usage: 87 MB
% 7.45/1.98 % (82302)Instructions burned: 1 (million)
% 7.45/1.98 % (82265)Refutation found. Thanks to Tanya!
% 7.45/1.98 % SZS status Theorem for theBenchmark
% 7.45/1.98 % SZS output start Proof for theBenchmark
% See solution above
% 9.70/2.16 % (82265)------------------------------
% 9.70/2.16 % (82265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.70/2.16 % (82265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.70/2.16 % (82265)CaDiCaL version: 2.1.3
% 9.70/2.16 % (82265)Termination reason: Refutation
% 9.70/2.16 % (82265)Time elapsed: 0.840 s
% 9.70/2.16 % (82265)Peak memory usage: 135 MB
% 9.70/2.16 % (82265)Instructions burned: 1233 (million)
% 9.70/2.16 % (82265)------------------------------
% 9.70/2.16 % (82265)------------------------------
% 9.70/2.16 % (82260)Success in time 1.294 s
% 9.70/2.16 % Vampire exiting
%------------------------------------------------------------------------------