%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : AGT013+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:06:34 AM UTC 2026
% Result : Theorem 7.15s 1.66s
% Output : Refutation 9.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 30
% Syntax : Number of formulae : 127 ( 49 unt; 4 def)
% Number of atoms : 350 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 384 ( 161 ~; 152 |; 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 : 31 ( 31 usr; 28 con; 0-2 aty)
% Number of variables : 130 ( 0 sgn 130 !; 0 ?)
% 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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',a2_12) ).
fof(f31,axiom,
the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_11) ).
fof(f32,axiom,
any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_12) ).
fof(f117,axiom,
accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,coastvillage,n6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_97) ).
fof(f193,axiom,
accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_173) ).
fof(f294,axiom,
rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn24) ).
fof(f295,axiom,
rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn25) ).
fof(f345,axiom,
rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn75) ).
fof(f348,axiom,
rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn78) ).
fof(f527,axiom,
rdn_non_zero_digit(rdnn(n2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit2) ).
fof(f532,axiom,
rdn_non_zero_digit(rdnn(n7)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit7) ).
fof(f539,axiom,
rdn_positive_less(rdnn(n4),rdnn(n5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less45) ).
fof(f540,axiom,
rdn_positive_less(rdnn(n5),rdnn(n6)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less56) ).
fof(f541,axiom,
rdn_positive_less(rdnn(n6),rdnn(n7)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less67) ).
fof(f542,axiom,
rdn_positive_less(rdnn(n7),rdnn(n8)),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',less_entry_point_pos_pos) ).
fof(f556,conjecture,
~ accept_population(muslimcountrybhumanitarianorganization,christian,n25),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query_13) ).
fof(f557,negated_conjecture,
~ ~ accept_population(muslimcountrybhumanitarianorganization,christian,n25),
inference(negated_conjecture,[status(cth)],[f556]) ).
fof(f558,plain,
accept_population(muslimcountrybhumanitarianorganization,christian,n25),
inference(flattening,[],[f557]) ).
fof(f565,plain,
! [X0,X1,X2,X3] :
( accept_population(X0,X3,X2)
| ~ accept_population(X0,X3,X1)
| ~ less(X2,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f566,plain,
! [X0,X1,X2,X3] :
( accept_population(X0,X3,X2)
| ~ accept_population(X0,X3,X1)
| ~ less(X2,X1) ),
inference(flattening,[],[f565]) ).
fof(f568,plain,
! [X0,X1,X2] :
( accept_leader(X0,X1)
| ~ any_agent_in_all_proposed_teams(X0,X1,X2) ),
inference(ennf_transformation,[],[f5]) ).
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(ennf_transformation,[],[f6]) ).
fof(f570,plain,
! [X0,X1,X2] :
( ~ accept_city(X0,X2)
| ~ accept_leader(X0,X1)
| ~ the_agent_not_in_any_proposed_teams(X0,X1,X2) ),
inference(flattening,[],[f569]) ).
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(ennf_transformation,[],[f544]) ).
fof(f572,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,[],[f571]) ).
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(ennf_transformation,[],[f546]) ).
fof(f575,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,[],[f574]) ).
fof(f577,plain,
! [X0] :
( rdn_non_zero(rdnn(X0))
| ~ rdn_non_zero_digit(rdnn(X0)) ),
inference(ennf_transformation,[],[f548]) ).
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(ennf_transformation,[],[f550]) ).
fof(f580,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,[],[f579]) ).
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,[],[f566]) ).
fof(f623,plain,
! [X2,X0,X1] :
( ~ any_agent_in_all_proposed_teams(X0,X1,X2)
| accept_leader(X0,X1) ),
inference(cnf_transformation,[],[f568]) ).
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,[],[f570]) ).
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(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(f976,plain,
rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
inference(cnf_transformation,[],[f294]) ).
fof(f977,plain,
rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
inference(cnf_transformation,[],[f295]) ).
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(f1221,plain,
rdn_positive_less(rdnn(n4),rdnn(n5)),
inference(cnf_transformation,[],[f539]) ).
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,[],[f572]) ).
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,[],[f575]) ).
fof(f1230,plain,
! [X0] :
( ~ rdn_non_zero_digit(rdnn(X0))
| rdn_non_zero(rdnn(X0)) ),
inference(cnf_transformation,[],[f577]) ).
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,[],[f580]) ).
fof(f1238,plain,
accept_population(muslimcountrybhumanitarianorganization,christian,n25),
inference(cnf_transformation,[],[f558]) ).
fof(f1240,plain,
( ~ accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization)
| ~ accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(resolution,[],[f624,f713]) ).
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(f1252,definition,
( spl0_3
<=> accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f1255,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f1240,f1252,f1243]) ).
fof(f1258,plain,
accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization),
inference(resolution,[],[f714,f623]) ).
fof(f1259,plain,
spl0_3,
inference(avatar_split_clause,[],[f1258,f1252]) ).
fof(f1262,plain,
rdn_non_zero(rdnn(n2)),
inference(resolution,[],[f1230,f1209]) ).
fof(f1264,plain,
! [X0,X1] :
( ~ rdn_positive_less(X1,rdn(rdnn(n5),rdnn(n2)))
| less(X0,n25)
| ~ rdn_translate(X0,rdn_pos(X1)) ),
inference(resolution,[],[f1232,f977]) ).
fof(f1268,plain,
rdn_non_zero(rdnn(n7)),
inference(resolution,[],[f1214,f1230]) ).
fof(f1270,plain,
accept_city(muslimcountrybhumanitarianorganization,coastvillage),
inference(resolution,[],[f799,f617]) ).
fof(f1281,plain,
! [X0] :
( ~ rdn_positive_less(rdnn(X0),rdnn(n7))
| rdn_positive_less(rdnn(X0),rdnn(n8)) ),
inference(resolution,[],[f1226,f1224]) ).
fof(f1287,plain,
! [X0] :
( ~ rdn_positive_less(rdnn(X0),rdnn(n6))
| rdn_positive_less(rdnn(X0),rdnn(n7)) ),
inference(resolution,[],[f1226,f1223]) ).
fof(f1292,plain,
rdn_positive_less(rdnn(n5),rdnn(n7)),
inference(resolution,[],[f1287,f1222]) ).
fof(f1293,plain,
rdn_positive_less(rdnn(n5),rdnn(n8)),
inference(resolution,[],[f1292,f1281]) ).
fof(f1313,plain,
! [X0,X1] :
( ~ rdn_positive_less(rdnn(X0),rdnn(n5))
| ~ rdn_non_zero(rdnn(n2))
| less(X1,n25)
| ~ rdn_translate(X1,rdn_pos(rdn(rdnn(X0),rdnn(n2)))) ),
inference(resolution,[],[f1228,f1264]) ).
fof(f1314,plain,
! [X0,X1] :
( ~ rdn_translate(X1,rdn_pos(rdn(rdnn(X0),rdnn(n2))))
| less(X1,n25)
| ~ rdn_positive_less(rdnn(X0),rdnn(n5)) ),
inference(forward_subsumption_resolution,[],[f1313,f1262]) ).
fof(f1318,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(f1320,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,[],[f1318,f693]) ).
fof(f1321,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,[],[f1320,f694]) ).
fof(f1328,plain,
accept_city(muslimcountrybhumanitarianorganization,cityb),
inference(resolution,[],[f875,f617]) ).
fof(f1344,plain,
! [X0,X1] :
( accept_population(X0,atheist,X1)
| ~ less(X1,n78)
| ~ accept_city(X0,cityb) ),
inference(resolution,[],[f620,f696]) ).
fof(f1346,plain,
! [X0] :
( accept_population(muslimcountrybhumanitarianorganization,christian,X0)
| ~ less(X0,n25) ),
inference(resolution,[],[f620,f1238]) ).
fof(f1358,plain,
( ~ less(n24,n25)
| ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
| ~ accept_city(muslimcountrybhumanitarianorganization,coastvillage)
| accept_city(muslimcountrybhumanitarianorganization,towna)
| ~ accept_city(muslimcountrybhumanitarianorganization,cityb) ),
inference(resolution,[],[f1346,f1321]) ).
fof(f1360,plain,
( ~ less(n24,n25)
| ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
| accept_city(muslimcountrybhumanitarianorganization,towna)
| ~ accept_city(muslimcountrybhumanitarianorganization,cityb) ),
inference(forward_subsumption_resolution,[],[f1358,f1270]) ).
fof(f1361,plain,
( ~ less(n24,n25)
| ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
| ~ accept_city(muslimcountrybhumanitarianorganization,cityb)
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f1360,f1245]) ).
fof(f1362,plain,
( ~ less(n24,n25)
| ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f1361,f1328]) ).
fof(f1364,definition,
( spl0_4
<=> accept_population(muslimcountrybhumanitarianorganization,atheist,n75) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f1366,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
| spl0_4 ),
inference(avatar_component_clause,[],[f1364]) ).
fof(f1368,definition,
( spl0_5
<=> less(n24,n25) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f1371,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_1 ),
inference(avatar_split_clause,[],[f1362,f1243,f1368,f1364]) ).
fof(f1476,plain,
( ~ less(n75,n78)
| ~ accept_city(muslimcountrybhumanitarianorganization,cityb)
| spl0_4 ),
inference(resolution,[],[f1344,f1366]) ).
fof(f1477,plain,
( ~ less(n75,n78)
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f1476,f1328]) ).
fof(f1596,plain,
( less(n24,n25)
| ~ rdn_positive_less(rdnn(n4),rdnn(n5)) ),
inference(resolution,[],[f976,f1314]) ).
fof(f1600,plain,
less(n24,n25),
inference(forward_subsumption_resolution,[],[f1596,f1221]) ).
fof(f1601,plain,
spl0_5,
inference(avatar_split_clause,[],[f1600,f1368]) ).
fof(f2181,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(f2201,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,[],[f2181,f1228]) ).
fof(f2203,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,[],[f2201,f1268]) ).
fof(f2206,plain,
( less(n75,n78)
| ~ rdn_positive_less(rdnn(n5),rdnn(n8)) ),
inference(resolution,[],[f2203,f1027]) ).
fof(f2209,plain,
( ~ rdn_positive_less(rdnn(n5),rdnn(n8))
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f2206,f1477]) ).
fof(f2219,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f2209,f1293]) ).
fof(f2220,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f2219]) ).
cnf(s2,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(sat_conversion,[],[f1255]) ).
cnf(s4,plain,
spl0_3,
inference(sat_conversion,[],[f1259]) ).
cnf(s5,plain,
( spl0_1
| ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f1371]) ).
cnf(s22,plain,
spl0_5,
inference(sat_conversion,[],[f1601]) ).
cnf(s64,plain,
spl0_4,
inference(sat_conversion,[],[f2220]) ).
cnf(s67,plain,
spl0_1,
inference(rat,[],[s5,s22,s64]) ).
cnf(s68,plain,
$false,
inference(rat,[],[s2,s4,s67]) ).
fof(f2221,plain,
$false,
inference(avatar_sat_refutation,[],[s68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT013+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n007.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 19:08:26 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.10/1.02 % (2721212)Detected formulas, will run a generic FOF schedule.
% 3.10/1.02 % (2721222)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2731632196:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.10/1.02 % (2721217)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=949288582:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.10/1.02 % (2721221)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=126717121:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.10/1.02 % (2721223)dis-21_1_sil=8000:lcm=predicate:random_seed=2144613652: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)
% 3.10/1.02 % (2721219)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=3109725678:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.10/1.02 % (2721218)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=911330539:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.10/1.02 % (2721220)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3702680078:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.10/1.02 % (2721220)Refutation not found, incomplete strategy
% 3.10/1.02 % (2721220)------------------------------
% 3.10/1.02 % (2721220)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.10/1.02 % (2721220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/1.02 % (2721220)CaDiCaL version: 2.1.3
% 3.10/1.02 % (2721220)Termination reason: Refutation not found, incomplete strategy
% 3.10/1.02 % (2721220)Time elapsed: 0.002 s
% 3.10/1.02 % (2721220)Peak memory usage: 88 MB
% 3.10/1.02 % (2721220)Instructions burned: 2 (million)
% 3.10/1.02 % (2721221)Refutation not found, incomplete strategy
% 3.10/1.02 % (2721221)------------------------------
% 3.10/1.02 % (2721221)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.10/1.02 % (2721221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/1.02 % (2721221)CaDiCaL version: 2.1.3
% 3.10/1.02 % (2721221)Termination reason: Refutation not found, incomplete strategy
% 3.10/1.02 % (2721221)Time elapsed: 0.002 s
% 3.10/1.02 % (2721221)Peak memory usage: 88 MB
% 3.10/1.02 % (2721221)Instructions burned: 3 (million)
% 3.10/1.02 % (2721222)Instruction limit reached!
% 3.10/1.02 % (2721222)------------------------------
% 3.10/1.02 % (2721222)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.10/1.02 % (2721222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/1.02 % (2721222)CaDiCaL version: 2.1.3
% 3.10/1.02 % (2721222)Termination reason: Instruction limit
% 3.10/1.02 % (2721222)Termination phase: Saturation
% 3.10/1.02 % (2721222)Time elapsed: 0.044 s
% 3.10/1.02 % (2721222)Peak memory usage: 90 MB
% 3.10/1.02 % (2721222)Instructions burned: 142 (million)
% 3.10/1.02 % (2721223)Instruction limit reached!
% 3.10/1.02 % (2721223)------------------------------
% 3.10/1.02 % (2721223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.10/1.02 % (2721223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/1.02 % (2721223)CaDiCaL version: 2.1.3
% 3.10/1.02 % (2721223)Termination reason: Instruction limit
% 3.10/1.02 % (2721223)Termination phase: Saturation
% 3.10/1.02 % (2721223)Time elapsed: 0.073 s
% 3.10/1.02 % (2721223)Peak memory usage: 91 MB
% 3.10/1.02 % (2721223)Instructions burned: 131 (million)
% 3.10/1.02 % (2721231)lrs+10_1_sil=8000:sp=occurrence:random_seed=3941417077:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.10/1.02 % (2721231)Refutation not found, incomplete strategy
% 3.10/1.02 % (2721231)------------------------------
% 3.10/1.02 % (2721231)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.10/1.02 % (2721231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/1.02 % (2721231)CaDiCaL version: 2.1.3
% 3.10/1.02 % (2721231)Termination reason: Refutation not found, incomplete strategy
% 3.10/1.02 % (2721231)Time elapsed: 0.001 s
% 3.10/1.02 % (2721231)Peak memory usage: 88 MB
% 3.10/1.02 % (2721231)Instructions burned: 3 (million)
% 3.10/1.02 % (2721232)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1469470191:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.02/1.35 % (2721232)Refutation not found, incomplete strategy
% 6.02/1.35 % (2721232)------------------------------
% 6.02/1.35 % (2721232)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.02/1.35 % (2721232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.02/1.35 % (2721232)CaDiCaL version: 2.1.3
% 6.02/1.35 % (2721232)Termination reason: Refutation not found, incomplete strategy
% 6.02/1.35 % (2721232)Time elapsed: 0.004 s
% 6.02/1.35 % (2721232)Peak memory usage: 88 MB
% 6.02/1.35 % (2721232)Instructions burned: 6 (million)
% 6.02/1.35 % (2721231)------------------------------
% 6.02/1.35 % (2721231)------------------------------
% 6.02/1.35 % (2721221)------------------------------
% 6.02/1.35 % (2721221)------------------------------
% 6.02/1.35 % (2721220)------------------------------
% 6.02/1.35 % (2721220)------------------------------
% 6.02/1.35 % (2721235)lrs+1011_1_sil=32000:sp=occurrence:random_seed=96604639:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 6.02/1.35 % (2721235)Refutation not found, incomplete strategy
% 6.02/1.35 % (2721235)------------------------------
% 6.02/1.35 % (2721235)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.02/1.35 % (2721235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.02/1.35 % (2721235)CaDiCaL version: 2.1.3
% 6.02/1.35 % (2721235)Termination reason: Refutation not found, incomplete strategy
% 6.02/1.35 % (2721235)Time elapsed: 0.002 s
% 6.02/1.35 % (2721235)Peak memory usage: 88 MB
% 6.02/1.35 % (2721235)Instructions burned: 6 (million)
% 6.02/1.35 [W928 19:08:27.638964271 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.
% 6.02/1.35 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.02/1.35 [W928 19:08:27.639025884 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.
% 6.02/1.35 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.02/1.35 [W928 19:08:27.639065051 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.
% 6.02/1.35 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.02/1.35 [W928 19:08:27.639079671 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.
% 6.02/1.35 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.02/1.35 [W928 19:08:27.639087104 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.
% 6.02/1.35 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.02/1.35 [W928 19:08:27.639107248 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.
% 6.02/1.35 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.02/1.35 [W928 19:08:27.639114361 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.
% 6.02/1.35 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.02/1.35 [W928 19:08:27.639118791 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.
% 6.02/1.35 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.02/1.35 [W928 19:08:27.639152861 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.
% 7.15/1.66 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.15/1.66 [W928 19:08:27.639165881 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.
% 7.15/1.66 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.15/1.66 [W928 19:08:27.639199144 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.
% 7.15/1.66 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.15/1.66 [W928 19:08:27.639221231 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.
% 7.15/1.66 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.15/1.66 [W928 19:08:27.639248304 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.
% 7.15/1.66 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.15/1.66 [W928 19:08:27.639258641 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.
% 7.15/1.66 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.15/1.66 [W928 19:08:27.639282594 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.
% 7.15/1.66 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.15/1.66 [W928 19:08:27.639292611 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.
% 7.15/1.66 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.15/1.66 [W928 19:08:27.639316791 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.
% 7.15/1.66 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.15/1.66 [W928 19:08:27.639326911 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.
% 7.15/1.66 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.15/1.66 % (2721236)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=1769594717:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 7.15/1.66 % (2721237)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1253287107:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 7.15/1.66 % (2721237)Refutation not found, incomplete strategy
% 7.15/1.66 % (2721237)------------------------------
% 7.15/1.66 % (2721237)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.15/1.66 % (2721237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.15/1.66 % (2721237)CaDiCaL version: 2.1.3
% 7.15/1.66 % (2721237)Termination reason: Refutation not found, incomplete strategy
% 7.15/1.66 % (2721237)Time elapsed: 0.006 s
% 7.15/1.66 % (2721237)Peak memory usage: 88 MB
% 7.15/1.66 % (2721237)Instructions burned: 10 (million)
% 7.15/1.66 % (2721232)------------------------------
% 7.15/1.66 % (2721232)------------------------------
% 7.15/1.66 % (2721235)------------------------------
% 7.15/1.66 % (2721235)------------------------------
% 7.15/1.66 % (2721236)Instruction limit reached!
% 7.15/1.66 % (2721236)------------------------------
% 7.15/1.66 % (2721236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.15/1.66 % (2721236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.15/1.66 % (2721236)CaDiCaL version: 2.1.3
% 7.15/1.66 % (2721236)Termination reason: Instruction limit
% 7.15/1.66 % (2721236)Termination phase: Saturation
% 7.15/1.66 % (2721236)Time elapsed: 0.114 s
% 7.15/1.66 % (2721236)Peak memory usage: 94 MB
% 7.15/1.66 % (2721236)Instructions burned: 249 (million)
% 7.15/1.66 % (2721242)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1154905632:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 7.15/1.66 % (2721242)Refutation not found, incomplete strategy
% 7.15/1.66 % (2721242)------------------------------
% 7.15/1.66 % (2721242)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.15/1.66 % (2721242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.15/1.66 % (2721242)CaDiCaL version: 2.1.3
% 7.15/1.66 % (2721242)Termination reason: Refutation not found, incomplete strategy
% 7.15/1.66 % (2721242)Time elapsed: 0.002 s
% 7.15/1.66 % (2721242)Peak memory usage: 89 MB
% 7.15/1.66 % (2721242)Instructions burned: 3 (million)
% 7.15/1.66 % (2721219)Refutation not found, incomplete strategy
% 7.15/1.66 % (2721219)------------------------------
% 7.15/1.66 % (2721219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.15/1.66 % (2721219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.15/1.66 % (2721219)CaDiCaL version: 2.1.3
% 7.15/1.66 % (2721219)Termination reason: Refutation not found, incomplete strategy
% 7.15/1.66 % (2721219)Time elapsed: 0.569 s
% 7.15/1.66 % (2721219)Peak memory usage: 127 MB
% 7.15/1.66 % (2721219)Instructions burned: 833 (million)
% 7.15/1.66 % (2721218)Refutation not found, incomplete strategy
% 7.15/1.66 % (2721218)------------------------------
% 7.15/1.66 % (2721218)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.15/1.66 % (2721218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.15/1.66 % (2721218)CaDiCaL version: 2.1.3
% 7.15/1.66 % (2721218)Termination reason: Refutation not found, incomplete strategy
% 7.15/1.66 % (2721218)Time elapsed: 0.569 s
% 7.15/1.66 % (2721218)Peak memory usage: 127 MB
% 7.15/1.66 % (2721218)Instructions burned: 839 (million)
% 7.15/1.66 % (2721241)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=461863563:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 7.15/1.66 % (2721237)------------------------------
% 7.15/1.66 % (2721237)------------------------------
% 7.15/1.66 % (2721243)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2550998911:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 7.15/1.66 % (2721243)Instruction limit reached!
% 7.15/1.66 % (2721243)------------------------------
% 7.15/1.66 % (2721243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.15/1.66 % (2721243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.15/1.66 % (2721243)CaDiCaL version: 2.1.3
% 7.15/1.66 % (2721243)Termination reason: Instruction limit
% 7.15/1.66 % (2721243)Termination phase: Saturation
% 7.15/1.66 % (2721243)Time elapsed: 0.060 s
% 7.15/1.66 % (2721243)Peak memory usage: 89 MB
% 7.15/1.66 % (2721243)Instructions burned: 128 (million)
% 7.15/1.66 % (2721242)------------------------------
% 7.15/1.66 % (2721242)------------------------------
% 7.15/1.66 % (2721246)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3817192169:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 7.15/1.66 % (2721246)Refutation not found, incomplete strategy
% 7.15/1.66 % (2721246)------------------------------
% 7.15/1.66 % (2721246)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.15/1.66 % (2721246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.15/1.66 % (2721246)CaDiCaL version: 2.1.3
% 7.15/1.66 % (2721246)Termination reason: Refutation not found, incomplete strategy
% 7.15/1.66 % (2721246)Time elapsed: 0.008 s
% 7.15/1.66 % (2721246)Peak memory usage: 89 MB
% 7.15/1.66 % (2721246)Instructions burned: 16 (million)
% 7.15/1.66 % (2721249)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=808959362:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 7.15/1.66 % (2721249)Refutation not found, incomplete strategy
% 7.15/1.66 % (2721249)------------------------------
% 7.15/1.66 % (2721249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.15/1.66 % (2721249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.15/1.66 % (2721249)CaDiCaL version: 2.1.3
% 7.15/1.66 % (2721249)Termination reason: Refutation not found, incomplete strategy
% 7.15/1.66 % (2721249)Time elapsed: 0.001 s
% 7.15/1.66 % (2721249)Peak memory usage: 88 MB
% 7.15/1.66 % (2721249)Instructions burned: 2 (million)
% 7.15/1.66 % (2721218)------------------------------
% 7.15/1.66 % (2721218)------------------------------
% 7.15/1.66 % (2721219)------------------------------
% 7.15/1.66 % (2721219)------------------------------
% 7.15/1.66 % (2721217)First to succeed.
% 7.15/1.66 % (2721217)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2721212"
% 7.15/1.66 % (2721248)lrs+10_1_sil=8000:sp=occurrence:random_seed=4255039728:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 7.15/1.66 % (2721248)Refutation not found, incomplete strategy
% 7.15/1.66 % (2721248)------------------------------
% 7.15/1.66 % (2721248)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.15/1.66 % (2721248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.15/1.66 % (2721248)CaDiCaL version: 2.1.3
% 7.15/1.66 % (2721248)Termination reason: Refutation not found, incomplete strategy
% 7.15/1.66 % (2721248)Time elapsed: 0.004 s
% 7.15/1.66 % (2721248)Peak memory usage: 88 MB
% 7.15/1.66 % (2721248)Instructions burned: 6 (million)
% 7.15/1.66 % (2721249)------------------------------
% 7.15/1.66 % (2721249)------------------------------
% 7.15/1.66 % (2721252)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3721009141:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 7.15/1.66 % (2721253)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3138636857:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 7.15/1.66 % (2721253)Refutation not found, incomplete strategy
% 7.15/1.66 % (2721253)------------------------------
% 7.15/1.66 % (2721253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.15/1.66 % (2721253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.15/1.66 % (2721253)CaDiCaL version: 2.1.3
% 7.15/1.66 % (2721253)Termination reason: Refutation not found, incomplete strategy
% 7.15/1.66 % (2721253)Time elapsed: 0.003 s
% 7.15/1.66 % (2721253)Peak memory usage: 89 MB
% 7.15/1.66 % (2721253)Instructions burned: 4 (million)
% 7.15/1.66 % (2721246)------------------------------
% 7.15/1.66 % (2721246)------------------------------
% 7.15/1.66 % (2721255)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2136524984:st=8:i=592:sd=3:ep=RST:ss=axioms_2989 on theBenchmark for (2989ds/592Mi)
% 7.15/1.66 % (2721255)Refutation not found, incomplete strategy
% 7.15/1.66 % (2721255)------------------------------
% 7.15/1.66 % (2721255)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.15/1.66 % (2721255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.15/1.66 % (2721255)CaDiCaL version: 2.1.3
% 7.15/1.66 % (2721255)Termination reason: Refutation not found, incomplete strategy
% 7.15/1.66 % (2721255)Time elapsed: 0.004 s
% 7.15/1.66 % (2721255)Peak memory usage: 88 MB
% 7.15/1.66 % (2721255)Instructions burned: 13 (million)
% 7.15/1.66 % (2721248)------------------------------
% 7.15/1.66 % (2721248)------------------------------
% 7.15/1.66 % (2721217)Refutation found. Thanks to Tanya!
% 7.15/1.66 % SZS status Theorem for theBenchmark
% 7.15/1.66 % SZS output start Proof for theBenchmark
% See solution above
% 9.15/1.85 % (2721217)------------------------------
% 9.15/1.85 % (2721217)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.15/1.85 % (2721217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.15/1.85 % (2721217)CaDiCaL version: 2.1.3
% 9.15/1.85 % (2721217)Termination reason: Refutation
% 9.15/1.85 % (2721217)Time elapsed: 0.836 s
% 9.15/1.85 % (2721217)Peak memory usage: 135 MB
% 9.15/1.85 % (2721217)Instructions burned: 1260 (million)
% 9.15/1.85 % (2721217)------------------------------
% 9.15/1.85 % (2721217)------------------------------
% 9.15/1.85 % (2721212)Success in time 1.247 s
% 9.15/1.85 % Vampire exiting
%------------------------------------------------------------------------------