%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : AGT026+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 : n001.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 6.76s 1.89s
% Output : Refutation 9.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 26
% Syntax : Number of formulae : 114 ( 37 unt; 6 def)
% Number of atoms : 331 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 370 ( 153 ~; 146 |; 54 &)
% ( 10 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 19 ( 18 usr; 7 prp; 0-4 aty)
% Number of functors : 30 ( 30 usr; 27 con; 0-2 aty)
% Number of variables : 137 ( 0 sgn 133 !; 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(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(f370,axiom,
rdn_translate(n100,rdn_pos(rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn100) ).
fof(f526,axiom,
rdn_non_zero_digit(rdnn(n1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit1) ).
fof(f545,axiom,
! [X0,X1,X2,X3] :
( rdn_positive_less(X1,X3)
=> rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less_multi_digit_high) ).
fof(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,n100),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_26) ).
fof(f557,negated_conjecture,
~ ? [X0,X1] : ~ accept_population(X0,X1,n100),
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(f572,plain,
! [X0,X1,X2,X3] :
( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3))
| ~ rdn_positive_less(X1,X3) ),
inference(ennf_transformation,[],[f545]) ).
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,n100),
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_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,[],[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(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(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(f1052,plain,
rdn_translate(n100,rdn_pos(rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1))))),
inference(cnf_transformation,[],[f370]) ).
fof(f1208,plain,
rdn_non_zero_digit(rdnn(n1)),
inference(cnf_transformation,[],[f526]) ).
fof(f1227,plain,
! [X2,X3,X0,X1] :
( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3))
| ~ rdn_positive_less(X1,X3) ),
inference(cnf_transformation,[],[f572]) ).
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,n100),
inference(cnf_transformation,[],[f584]) ).
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(f1268,plain,
! [X0] :
( ~ accept_population(X0,native,n0)
| ~ accept_population(X0,atheist,n75)
| ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,muslim,n1)
| ~ accept_city(X0,coastvillage)
| accept_city(X0,towna) ),
inference(resolution,[],[f662,f673]) ).
fof(f1270,plain,
! [X0] :
( ~ accept_population(X0,atheist,n75)
| ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,muslim,n1)
| ~ accept_city(X0,coastvillage)
| accept_city(X0,towna)
| ~ accept_city(X0,cityb) ),
inference(resolution,[],[f1268,f693]) ).
fof(f1271,plain,
! [X0] :
( ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,atheist,n75)
| ~ accept_city(X0,coastvillage)
| accept_city(X0,towna)
| ~ accept_city(X0,cityb) ),
inference(forward_subsumption_resolution,[],[f1270,f694]) ).
fof(f1272,plain,
accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization),
inference(resolution,[],[f714,f623]) ).
fof(f1273,plain,
spl0_2,
inference(avatar_split_clause,[],[f1272,f1247]) ).
fof(f1276,plain,
! [X0,X1] :
( ~ rdn_positive_less(X1,rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1))))
| less(X0,n100)
| ~ rdn_translate(X0,rdn_pos(X1)) ),
inference(resolution,[],[f1232,f1052]) ).
fof(f1298,plain,
rdn_non_zero(rdnn(n1)),
inference(resolution,[],[f1208,f1230]) ).
fof(f1352,plain,
accept_city(muslimcountrybhumanitarianorganization,cityb),
inference(resolution,[],[f875,f617]) ).
fof(f1361,plain,
accept_city(muslimcountrybhumanitarianorganization,coastvillage),
inference(resolution,[],[f799,f617]) ).
fof(f1365,plain,
! [X2,X0,X1] :
( ~ rdn_positive_less(X0,rdn(rdnn(n0),rdnn(n1)))
| less(X1,n100)
| ~ rdn_translate(X1,rdn_pos(rdn(rdnn(X2),X0))) ),
inference(resolution,[],[f1227,f1276]) ).
fof(f1366,plain,
! [X2,X0,X1] :
( less(X0,n100)
| ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(X2))))
| ~ rdn_non_zero(rdnn(n1)) ),
inference(resolution,[],[f1365,f1229]) ).
fof(f1370,plain,
! [X2,X0,X1] :
( ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(X2))))
| less(X0,n100) ),
inference(forward_subsumption_resolution,[],[f1366,f1298]) ).
fof(f1378,plain,
! [X2,X0,X1] :
( accept_population(X0,X1,X2)
| ~ less(X2,n100) ),
inference(resolution,[],[f620,f1238]) ).
fof(f1406,plain,
! [X0] :
( ~ less(n24,n100)
| ~ accept_population(X0,atheist,n75)
| ~ accept_city(X0,coastvillage)
| accept_city(X0,towna)
| ~ accept_city(X0,cityb) ),
inference(resolution,[],[f1378,f1271]) ).
fof(f1417,definition,
( spl0_9
<=> ! [X0] :
( ~ accept_population(X0,atheist,n75)
| ~ accept_city(X0,cityb)
| accept_city(X0,towna)
| ~ accept_city(X0,coastvillage) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f1418,plain,
( ! [X0] :
( ~ accept_population(X0,atheist,n75)
| ~ accept_city(X0,cityb)
| accept_city(X0,towna)
| ~ accept_city(X0,coastvillage) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f1417]) ).
fof(f1420,definition,
( spl0_10
<=> less(n24,n100) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f1422,plain,
( ~ less(n24,n100)
| spl0_10 ),
inference(avatar_component_clause,[],[f1420]) ).
fof(f1423,plain,
( spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f1406,f1420,f1417]) ).
fof(f1649,plain,
less(n24,n100),
inference(resolution,[],[f976,f1370]) ).
fof(f1651,plain,
( $false
| spl0_10 ),
inference(forward_subsumption_resolution,[],[f1649,f1422]) ).
fof(f1652,plain,
spl0_10,
inference(avatar_contradiction_clause,[],[f1651]) ).
fof(f1658,plain,
( ! [X0] :
( ~ accept_city(X0,cityb)
| accept_city(X0,towna)
| ~ accept_city(X0,coastvillage)
| ~ less(n75,n100) )
| ~ spl0_9 ),
inference(resolution,[],[f1418,f1378]) ).
fof(f1662,definition,
( spl0_41
<=> less(n75,n100) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f1664,plain,
( ~ less(n75,n100)
| spl0_41 ),
inference(avatar_component_clause,[],[f1662]) ).
fof(f1666,definition,
( spl0_42
<=> ! [X0] :
( ~ accept_city(X0,cityb)
| ~ accept_city(X0,coastvillage)
| accept_city(X0,towna) ) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f1667,plain,
( ! [X0] :
( ~ accept_city(X0,cityb)
| ~ accept_city(X0,coastvillage)
| accept_city(X0,towna) )
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f1666]) ).
fof(f1668,plain,
( ~ spl0_41
| spl0_42
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f1658,f1417,f1666,f1662]) ).
fof(f1775,plain,
less(n75,n100),
inference(resolution,[],[f1027,f1370]) ).
fof(f1777,plain,
( $false
| spl0_41 ),
inference(forward_subsumption_resolution,[],[f1775,f1664]) ).
fof(f1778,plain,
spl0_41,
inference(avatar_contradiction_clause,[],[f1777]) ).
fof(f1779,plain,
( ~ accept_city(muslimcountrybhumanitarianorganization,coastvillage)
| accept_city(muslimcountrybhumanitarianorganization,towna)
| ~ spl0_42 ),
inference(resolution,[],[f1667,f1352]) ).
fof(f1781,plain,
( accept_city(muslimcountrybhumanitarianorganization,towna)
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[],[f1779,f1361]) ).
fof(f1782,plain,
( $false
| spl0_1
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[],[f1781,f1245]) ).
fof(f1783,plain,
( spl0_1
| ~ spl0_42 ),
inference(avatar_contradiction_clause,[],[f1782]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f1250]) ).
cnf(s3,plain,
spl0_2,
inference(sat_conversion,[],[f1273]) ).
cnf(s7,plain,
( spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f1423]) ).
cnf(s28,plain,
spl0_10,
inference(sat_conversion,[],[f1652]) ).
cnf(s29,plain,
( ~ spl0_9
| ~ spl0_41
| spl0_42 ),
inference(sat_conversion,[],[f1668]) ).
cnf(s37,plain,
spl0_41,
inference(sat_conversion,[],[f1778]) ).
cnf(s38,plain,
( spl0_1
| ~ spl0_42 ),
inference(sat_conversion,[],[f1783]) ).
cnf(s39,plain,
( ~ spl0_9
| spl0_42 ),
inference(rat,[],[s29,s37]) ).
cnf(s40,plain,
spl0_9,
inference(rat,[],[s7,s28]) ).
cnf(s41,plain,
spl0_42,
inference(rat,[],[s39,s40]) ).
cnf(s42,plain,
spl0_1,
inference(rat,[],[s38,s41]) ).
cnf(s44,plain,
$false,
inference(rat,[],[s1,s3,s42]) ).
fof(f1784,plain,
$false,
inference(avatar_sat_refutation,[],[s44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : AGT026+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n001.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 19:20:34 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running first-order theorem proving
% 0.07/0.23 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
% 3.90/1.21 % (639726)Detected formulas, will run a generic FOF schedule.
% 3.90/1.21 % (639733)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=713135520:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.90/1.21 % (639731)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=3158663667:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.90/1.21 % (639736)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2145479865:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.90/1.21 % (639735)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2438083711:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.90/1.21 % (639734)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=483566093:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.90/1.21 % (639732)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=1886131305:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.90/1.21 % (639737)dis-21_1_sil=8000:lcm=predicate:random_seed=1502123926: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)
% 3.90/1.21 % (639735)Refutation not found, incomplete strategy
% 3.90/1.21 % (639735)------------------------------
% 3.90/1.21 % (639735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.21 % (639735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.21 % (639735)CaDiCaL version: 2.1.3
% 3.90/1.21 % (639735)Termination reason: Refutation not found, incomplete strategy
% 3.90/1.21 % (639735)Time elapsed: 0.002 s
% 3.90/1.21 % (639734)Refutation not found, incomplete strategy
% 3.90/1.21 % (639734)------------------------------
% 3.90/1.21 % (639734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.21 % (639735)Peak memory usage: 86 MB
% 3.90/1.21 % (639735)Instructions burned: 2 (million)
% 3.90/1.21 % (639734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.21 % (639734)CaDiCaL version: 2.1.3
% 3.90/1.21 % (639734)Termination reason: Refutation not found, incomplete strategy
% 3.90/1.21 % (639734)Time elapsed: 0.002 s
% 3.90/1.21 % (639734)Peak memory usage: 87 MB
% 3.90/1.21 % (639734)Instructions burned: 1 (million)
% 3.90/1.21 % (639737)Instruction limit reached!
% 3.90/1.21 % (639737)------------------------------
% 3.90/1.21 % (639737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.21 % (639737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.21 % (639737)CaDiCaL version: 2.1.3
% 3.90/1.21 % (639737)Termination reason: Instruction limit
% 3.90/1.21 % (639737)Termination phase: Saturation
% 3.90/1.21 % (639737)Time elapsed: 0.068 s
% 3.90/1.21 % (639737)Peak memory usage: 90 MB
% 3.90/1.21 % (639737)Instructions burned: 129 (million)
% 3.90/1.21 % (639736)Instruction limit reached!
% 3.90/1.21 % (639736)------------------------------
% 3.90/1.21 % (639736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.21 % (639736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.21 % (639736)CaDiCaL version: 2.1.3
% 3.90/1.21 % (639736)Termination reason: Instruction limit
% 3.90/1.21 % (639736)Termination phase: Saturation
% 3.90/1.21 % (639736)Time elapsed: 0.083 s
% 3.90/1.21 % (639736)Peak memory usage: 90 MB
% 3.90/1.21 % (639736)Instructions burned: 139 (million)
% 3.90/1.21 [W928 19:20:35.507728836 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.
% 3.90/1.21 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.90/1.21 [W928 19:20:35.507756546 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.
% 3.90/1.21 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.90/1.21 [W928 19:20:35.507779762 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.
% 4.87/1.43 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.87/1.43 [W928 19:20:35.507786038 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.
% 4.87/1.43 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.87/1.43 [W928 19:20:35.507799770 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.
% 4.87/1.43 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.87/1.43 [W928 19:20:35.507805234 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.
% 4.87/1.43 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.87/1.43 [W928 19:20:35.507818917 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.
% 4.87/1.43 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.87/1.43 [W928 19:20:35.507824781 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.
% 4.87/1.43 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.87/1.43 [W928 19:20:35.507837868 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.
% 4.87/1.43 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.87/1.43 [W928 19:20:35.507843313 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.
% 4.87/1.43 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.87/1.43 [W928 19:20:35.507856543 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.
% 4.87/1.43 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.87/1.43 [W928 19:20:35.507861830 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.
% 4.87/1.43 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.87/1.43 % (639745)lrs+10_1_sil=8000:sp=occurrence:random_seed=964807640:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.87/1.43 % (639745)Refutation not found, incomplete strategy
% 4.87/1.43 % (639745)------------------------------
% 4.87/1.43 % (639745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.87/1.43 % (639745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/1.43 % (639745)CaDiCaL version: 2.1.3
% 4.87/1.43 % (639745)Termination reason: Refutation not found, incomplete strategy
% 4.87/1.43 % (639745)Time elapsed: 0.002 s
% 4.87/1.43 % (639745)Peak memory usage: 88 MB
% 4.87/1.43 % (639745)Instructions burned: 2 (million)
% 4.87/1.43 % (639746)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3906771446:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.87/1.43 % (639746)Refutation not found, incomplete strategy
% 4.87/1.43 % (639746)------------------------------
% 4.87/1.43 % (639746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.87/1.43 % (639746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.84 % (639746)CaDiCaL version: 2.1.3
% 6.76/1.84 % (639746)Termination reason: Refutation not found, incomplete strategy
% 6.76/1.84 % (639746)Time elapsed: 0.004 s
% 6.76/1.84 % (639746)Peak memory usage: 88 MB
% 6.76/1.84 % (639746)Instructions burned: 6 (million)
% 6.76/1.84 % (639734)------------------------------
% 6.76/1.84 % (639734)------------------------------
% 6.76/1.84 % (639735)------------------------------
% 6.76/1.84 % (639735)------------------------------
% 6.76/1.84 % (639733)Refutation not found, incomplete strategy
% 6.76/1.84 % (639733)------------------------------
% 6.76/1.84 % (639733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.84 % (639733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.84 % (639733)CaDiCaL version: 2.1.3
% 6.76/1.84 % (639733)Termination reason: Refutation not found, incomplete strategy
% 6.76/1.84 % (639733)Time elapsed: 0.326 s
% 6.76/1.84 % (639733)Peak memory usage: 127 MB
% 6.76/1.84 % (639733)Instructions burned: 832 (million)
% 6.76/1.84 % (639749)lrs+1011_1_sil=32000:sp=occurrence:random_seed=659346008:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 6.76/1.84 % (639750)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=3299642361:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.76/1.84 % (639749)Refutation not found, incomplete strategy
% 6.76/1.84 % (639749)------------------------------
% 6.76/1.84 % (639749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.84 % (639749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.84 % (639749)CaDiCaL version: 2.1.3
% 6.76/1.84 % (639749)Termination reason: Refutation not found, incomplete strategy
% 6.76/1.84 % (639749)Time elapsed: 0.003 s
% 6.76/1.84 % (639749)Peak memory usage: 88 MB
% 6.76/1.84 % (639749)Instructions burned: 5 (million)
% 6.76/1.84 [W928 19:20:35.715505143 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.
% 6.76/1.84 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.76/1.84 [W928 19:20:35.715533887 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.
% 6.76/1.84 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.76/1.84 [W928 19:20:35.715571970 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.
% 6.76/1.84 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.76/1.84 [W928 19:20:35.715583780 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.
% 6.76/1.84 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.76/1.84 [W928 19:20:35.715608961 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.
% 6.76/1.84 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.76/1.84 [W928 19:20:35.715619867 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.
% 6.76/1.84 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.76/1.84 [W928 19:20:35.715645984 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.
% 6.76/1.84 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.76/1.84 [W928 19:20:35.715656781 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.
% 6.76/1.89 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.76/1.89 [W928 19:20:35.715681624 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.
% 6.76/1.89 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.76/1.89 [W928 19:20:35.715691598 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.
% 6.76/1.89 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.76/1.89 [W928 19:20:35.715714768 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.
% 6.76/1.89 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.76/1.89 [W928 19:20:35.715735401 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.
% 6.76/1.89 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.76/1.89 % (639745)------------------------------
% 6.76/1.89 % (639745)------------------------------
% 6.76/1.89 % (639746)------------------------------
% 6.76/1.89 % (639746)------------------------------
% 6.76/1.89 % (639733)------------------------------
% 6.76/1.89 % (639733)------------------------------
% 6.76/1.89 % (639750)Instruction limit reached!
% 6.76/1.89 % (639750)------------------------------
% 6.76/1.89 % (639750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.89 % (639750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.89 % (639750)CaDiCaL version: 2.1.3
% 6.76/1.89 % (639750)Termination reason: Instruction limit
% 6.76/1.89 % (639750)Termination phase: Saturation
% 6.76/1.89 % (639750)Time elapsed: 0.114 s
% 6.76/1.89 % (639750)Peak memory usage: 94 MB
% 6.76/1.89 % (639750)Instructions burned: 248 (million)
% 6.76/1.89 % (639732)Refutation not found, incomplete strategy
% 6.76/1.89 % (639732)------------------------------
% 6.76/1.89 % (639732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.89 % (639732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.89 % (639732)CaDiCaL version: 2.1.3
% 6.76/1.89 % (639732)Termination reason: Refutation not found, incomplete strategy
% 6.76/1.89 % (639732)Time elapsed: 0.560 s
% 6.76/1.89 % (639732)Peak memory usage: 126 MB
% 6.76/1.89 % (639732)Instructions burned: 832 (million)
% 6.76/1.89 % (639753)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3719638798:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 6.76/1.89 % (639753)Refutation not found, incomplete strategy
% 6.76/1.89 % (639753)------------------------------
% 6.76/1.89 % (639753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.89 % (639753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.89 % (639753)CaDiCaL version: 2.1.3
% 6.76/1.89 % (639753)Termination reason: Refutation not found, incomplete strategy
% 6.76/1.89 % (639753)Time elapsed: 0.003 s
% 6.76/1.89 % (639753)Peak memory usage: 88 MB
% 6.76/1.89 % (639753)Instructions burned: 3 (million)
% 6.76/1.89 % (639755)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2138311684:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.76/1.89 % (639755)Refutation not found, incomplete strategy
% 6.76/1.89 % (639755)------------------------------
% 6.76/1.89 % (639755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.89 % (639755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.89 % (639755)CaDiCaL version: 2.1.3
% 6.76/1.89 % (639755)Termination reason: Refutation not found, incomplete strategy
% 6.76/1.89 % (639755)Time elapsed: 0.001 s
% 6.76/1.89 % (639755)Peak memory usage: 88 MB
% 6.76/1.89 % (639755)Instructions burned: 2 (million)
% 6.76/1.89 % (639754)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3846045524:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 6.76/1.89 % (639749)------------------------------
% 6.76/1.89 % (639749)------------------------------
% 6.76/1.89 % (639756)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=33718024:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.76/1.89 % (639756)Instruction limit reached!
% 6.76/1.89 % (639756)------------------------------
% 6.76/1.89 % (639756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.89 % (639756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.89 % (639756)CaDiCaL version: 2.1.3
% 6.76/1.89 % (639756)Termination reason: Instruction limit
% 6.76/1.89 % (639756)Termination phase: Saturation
% 6.76/1.89 % (639756)Time elapsed: 0.060 s
% 6.76/1.89 % (639756)Peak memory usage: 89 MB
% 6.76/1.89 % (639756)Instructions burned: 128 (million)
% 6.76/1.89 % (639755)------------------------------
% 6.76/1.89 % (639755)------------------------------
% 6.76/1.89 % (639761)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1563894955:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.76/1.89 % (639761)Refutation not found, incomplete strategy
% 6.76/1.89 % (639761)------------------------------
% 6.76/1.89 % (639761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.89 % (639761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.89 % (639761)CaDiCaL version: 2.1.3
% 6.76/1.89 % (639761)Termination reason: Refutation not found, incomplete strategy
% 6.76/1.89 % (639761)Time elapsed: 0.008 s
% 6.76/1.89 % (639761)Peak memory usage: 88 MB
% 6.76/1.89 % (639761)Instructions burned: 15 (million)
% 6.76/1.89 % (639731)First to succeed.
% 6.76/1.89 % (639731)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-639726"
% 6.76/1.89 % (639753)------------------------------
% 6.76/1.89 % (639753)------------------------------
% 6.76/1.89 % (639763)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3212475062:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.76/1.89 % (639732)------------------------------
% 6.76/1.89 % (639732)------------------------------
% 6.76/1.89 % (639763)Refutation not found, incomplete strategy
% 6.76/1.89 % (639763)------------------------------
% 6.76/1.89 % (639763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.89 % (639763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.89 % (639763)CaDiCaL version: 2.1.3
% 6.76/1.89 % (639763)Termination reason: Refutation not found, incomplete strategy
% 6.76/1.89 % (639763)Time elapsed: 0.001 s
% 6.76/1.89 % (639763)Peak memory usage: 87 MB
% 6.76/1.89 % (639763)Instructions burned: 1 (million)
% 6.76/1.89 % (639762)lrs+10_1_sil=8000:sp=occurrence:random_seed=3303981273:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.76/1.89 % (639762)Refutation not found, incomplete strategy
% 6.76/1.89 % (639762)------------------------------
% 6.76/1.89 % (639762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.89 % (639762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.89 % (639762)CaDiCaL version: 2.1.3
% 6.76/1.89 % (639762)Termination reason: Refutation not found, incomplete strategy
% 6.76/1.89 % (639762)Time elapsed: 0.002 s
% 6.76/1.89 % (639762)Peak memory usage: 88 MB
% 6.76/1.89 % (639762)Instructions burned: 2 (million)
% 6.76/1.89 % (639766)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3765490681:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 6.76/1.89 % (639763)------------------------------
% 6.76/1.89 % (639763)------------------------------
% 6.76/1.89 % (639767)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3306986741:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 6.76/1.89 % (639767)Refutation not found, incomplete strategy
% 6.76/1.89 % (639767)------------------------------
% 6.76/1.89 % (639767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.89 % (639767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.89 % (639767)CaDiCaL version: 2.1.3
% 6.76/1.89 % (639767)Termination reason: Refutation not found, incomplete strategy
% 6.76/1.89 % (639767)Time elapsed: 0.002 s
% 6.76/1.89 % (639767)Peak memory usage: 87 MB
% 6.76/1.89 % (639767)Instructions burned: 1 (million)
% 6.76/1.89 % (639761)------------------------------
% 6.76/1.89 % (639761)------------------------------
% 6.76/1.89 % (639731)Refutation found. Thanks to Tanya!
% 6.76/1.89 % SZS status Theorem for theBenchmark
% 6.76/1.89 % SZS output start Proof for theBenchmark
% See solution above
% 9.15/2.08 % (639731)------------------------------
% 9.15/2.08 % (639731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.15/2.08 % (639731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.15/2.08 % (639731)CaDiCaL version: 2.1.3
% 9.15/2.08 % (639731)Termination reason: Refutation
% 9.15/2.08 % (639731)Time elapsed: 0.792 s
% 9.15/2.08 % (639731)Peak memory usage: 136 MB
% 9.15/2.08 % (639731)Instructions burned: 1198 (million)
% 9.15/2.08 % (639731)------------------------------
% 9.15/2.08 % (639731)------------------------------
% 9.15/2.08 % (639726)Success in time 1.216 s
% 9.15/2.08 % Vampire exiting
%------------------------------------------------------------------------------