%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : AGT018+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:06:36 AM UTC 2026
% Result : Theorem 6.36s 1.91s
% Output : Refutation 6.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 29
% Syntax : Number of formulae : 131 ( 45 unt; 6 def)
% Number of atoms : 346 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 378 ( 163 ~; 157 |; 42 &)
% ( 9 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 18 usr; 7 prp; 0-4 aty)
% Number of functors : 23 ( 23 usr; 20 con; 0-2 aty)
% Number of variables : 135 ( 0 sgn 133 !; 2 ?)
% 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(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(f193,axiom,
accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_173) ).
fof(f270,axiom,
rdn_translate(n0,rdn_pos(rdnn(n0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn0) ).
fof(f271,axiom,
rdn_translate(n1,rdn_pos(rdnn(n1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn1) ).
fof(f345,axiom,
rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn75) ).
fof(f348,axiom,
rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn78) ).
fof(f532,axiom,
rdn_non_zero_digit(rdnn(n7)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit7) ).
fof(f535,axiom,
rdn_positive_less(rdnn(n0),rdnn(n1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less01) ).
fof(f540,axiom,
rdn_positive_less(rdnn(n5),rdnn(n6)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less56) ).
fof(f541,axiom,
rdn_positive_less(rdnn(n6),rdnn(n7)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less67) ).
fof(f542,axiom,
rdn_positive_less(rdnn(n7),rdnn(n8)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less78) ).
fof(f544,axiom,
! [X0,X1,X2] :
( ( rdn_positive_less(rdnn(X0),rdnn(X1))
& rdn_positive_less(rdnn(X1),rdnn(X2)) )
=> rdn_positive_less(rdnn(X0),rdnn(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less_transitivity) ).
fof(f546,axiom,
! [X0,X1,X2] :
( ( rdn_positive_less(rdnn(X0),rdnn(X2))
& rdn_non_zero(X1) )
=> rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less_multi_digit_low) ).
fof(f548,axiom,
! [X0] :
( rdn_non_zero_digit(rdnn(X0))
=> rdn_non_zero(rdnn(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_non_zero_by_digit) ).
fof(f550,axiom,
! [X0,X1,X2,X3] :
( ( rdn_translate(X0,rdn_pos(X2))
& rdn_translate(X1,rdn_pos(X3))
& rdn_positive_less(X2,X3) )
=> less(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_entry_point_pos_pos) ).
fof(f556,conjecture,
? [X0] : ~ accept_population(X0,christian,n24),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_18) ).
fof(f557,negated_conjecture,
~ ? [X0] : ~ accept_population(X0,christian,n24),
inference(negated_conjecture,[status(cth)],[f556]) ).
fof(f564,plain,
! [X0,X1,X2,X3] :
( accept_population(X0,X3,X2)
| ~ accept_population(X0,X3,X1)
| ~ less(X2,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f565,plain,
! [X0,X1,X2,X3] :
( accept_population(X0,X3,X2)
| ~ accept_population(X0,X3,X1)
| ~ less(X2,X1) ),
inference(flattening,[],[f564]) ).
fof(f567,plain,
! [X0,X1,X2] :
( accept_leader(X0,X1)
| ~ any_agent_in_all_proposed_teams(X0,X1,X2) ),
inference(ennf_transformation,[],[f5]) ).
fof(f568,plain,
! [X0,X1,X2] :
( ~ accept_city(X0,X2)
| ~ accept_leader(X0,X1)
| ~ the_agent_not_in_any_proposed_teams(X0,X1,X2) ),
inference(ennf_transformation,[],[f6]) ).
fof(f569,plain,
! [X0,X1,X2] :
( ~ accept_city(X0,X2)
| ~ accept_leader(X0,X1)
| ~ the_agent_not_in_any_proposed_teams(X0,X1,X2) ),
inference(flattening,[],[f568]) ).
fof(f570,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2)) ),
inference(ennf_transformation,[],[f544]) ).
fof(f571,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2)) ),
inference(flattening,[],[f570]) ).
fof(f573,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1))
| ~ rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_non_zero(X1) ),
inference(ennf_transformation,[],[f546]) ).
fof(f574,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1))
| ~ rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_non_zero(X1) ),
inference(flattening,[],[f573]) ).
fof(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] : accept_population(X0,christian,n24),
inference(ennf_transformation,[],[f557]) ).
fof(f585,plain,
! [X0,X1,X2,X3] :
( ( accept_team(X0,X3,X1,X2)
| ~ accept_city(X0,X1)
| ~ accept_leader(X0,X3)
| ~ accept_number(X0,X2) )
& ( ( accept_city(X0,X1)
& accept_leader(X0,X3)
& accept_number(X0,X2) )
| ~ accept_team(X0,X3,X1,X2) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f586,plain,
! [X0,X1,X2,X3] :
( ( accept_team(X0,X3,X1,X2)
| ~ accept_city(X0,X1)
| ~ accept_leader(X0,X3)
| ~ accept_number(X0,X2) )
& ( ( accept_city(X0,X1)
& accept_leader(X0,X3)
& accept_number(X0,X2) )
| ~ accept_team(X0,X3,X1,X2) ) ),
inference(flattening,[],[f585]) ).
fof(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(f673,plain,
! [X0] :
( accept_city(X0,towna)
| ~ accept_population(X0,atheist,n75)
| ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,other,n0) ),
inference(cnf_transformation,[],[f604]) ).
fof(f692,plain,
! [X0] :
( accept_population(X0,other,n1)
| ~ accept_city(X0,cityb) ),
inference(cnf_transformation,[],[f610]) ).
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(f875,plain,
accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n6),
inference(cnf_transformation,[],[f193]) ).
fof(f952,plain,
rdn_translate(n0,rdn_pos(rdnn(n0))),
inference(cnf_transformation,[],[f270]) ).
fof(f953,plain,
rdn_translate(n1,rdn_pos(rdnn(n1))),
inference(cnf_transformation,[],[f271]) ).
fof(f1027,plain,
rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
inference(cnf_transformation,[],[f345]) ).
fof(f1030,plain,
rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
inference(cnf_transformation,[],[f348]) ).
fof(f1214,plain,
rdn_non_zero_digit(rdnn(n7)),
inference(cnf_transformation,[],[f532]) ).
fof(f1217,plain,
rdn_positive_less(rdnn(n0),rdnn(n1)),
inference(cnf_transformation,[],[f535]) ).
fof(f1222,plain,
rdn_positive_less(rdnn(n5),rdnn(n6)),
inference(cnf_transformation,[],[f540]) ).
fof(f1223,plain,
rdn_positive_less(rdnn(n6),rdnn(n7)),
inference(cnf_transformation,[],[f541]) ).
fof(f1224,plain,
rdn_positive_less(rdnn(n7),rdnn(n8)),
inference(cnf_transformation,[],[f542]) ).
fof(f1226,plain,
! [X2,X0,X1] :
( ~ rdn_positive_less(rdnn(X1),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1))
| rdn_positive_less(rdnn(X0),rdnn(X2)) ),
inference(cnf_transformation,[],[f571]) ).
fof(f1228,plain,
! [X2,X0,X1] :
( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1))
| ~ rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_non_zero(X1) ),
inference(cnf_transformation,[],[f574]) ).
fof(f1230,plain,
! [X0] :
( ~ rdn_non_zero_digit(rdnn(X0))
| rdn_non_zero(rdnn(X0)) ),
inference(cnf_transformation,[],[f576]) ).
fof(f1232,plain,
! [X2,X3,X0,X1] :
( ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_translate(X0,rdn_pos(X2))
| less(X0,X1)
| ~ rdn_positive_less(X2,X3) ),
inference(cnf_transformation,[],[f579]) ).
fof(f1238,plain,
! [X0] : accept_population(X0,christian,n24),
inference(cnf_transformation,[],[f584]) ).
fof(f1240,plain,
! [X0] :
( ~ accept_population(X0,other,n0)
| ~ accept_population(X0,atheist,n75)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,native,n0)
| accept_city(X0,towna) ),
inference(forward_subsumption_resolution,[],[f673,f1238]) ).
fof(f1246,plain,
( ~ accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization)
| ~ accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(resolution,[],[f713,f624]) ).
fof(f1248,definition,
( spl0_1
<=> accept_city(muslimcountrybhumanitarianorganization,towna) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f1250,plain,
( ~ accept_city(muslimcountrybhumanitarianorganization,towna)
| spl0_1 ),
inference(avatar_component_clause,[],[f1248]) ).
fof(f1252,definition,
( spl0_2
<=> accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f1255,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f1246,f1252,f1248]) ).
fof(f1259,plain,
! [X0,X1] :
( ~ rdn_positive_less(X1,rdnn(n1))
| less(X0,n1)
| ~ rdn_translate(X0,rdn_pos(X1)) ),
inference(resolution,[],[f1232,f953]) ).
fof(f1277,definition,
( spl0_6
<=> rdn_non_zero(rdnn(n7)) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f1278,plain,
( rdn_non_zero(rdnn(n7))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f1277]) ).
fof(f1279,plain,
( ~ rdn_non_zero(rdnn(n7))
| spl0_6 ),
inference(avatar_component_clause,[],[f1277]) ).
fof(f1287,plain,
rdn_non_zero(rdnn(n7)),
inference(resolution,[],[f1214,f1230]) ).
fof(f1288,plain,
( $false
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f1287,f1279]) ).
fof(f1289,plain,
spl0_6,
inference(avatar_contradiction_clause,[],[f1288]) ).
fof(f1303,plain,
! [X0] :
( ~ rdn_positive_less(rdnn(X0),rdnn(n7))
| rdn_positive_less(rdnn(X0),rdnn(n8)) ),
inference(resolution,[],[f1226,f1224]) ).
fof(f1309,plain,
! [X0] :
( ~ rdn_positive_less(rdnn(X0),rdnn(n6))
| rdn_positive_less(rdnn(X0),rdnn(n7)) ),
inference(resolution,[],[f1226,f1223]) ).
fof(f1314,plain,
rdn_positive_less(rdnn(n5),rdnn(n7)),
inference(resolution,[],[f1309,f1222]) ).
fof(f1315,plain,
rdn_positive_less(rdnn(n5),rdnn(n8)),
inference(resolution,[],[f1314,f1303]) ).
fof(f1351,plain,
! [X0] :
( ~ rdn_translate(X0,rdn_pos(rdnn(n0)))
| less(X0,n1) ),
inference(resolution,[],[f1259,f1217]) ).
fof(f1355,plain,
! [X0,X1] :
( accept_population(X0,atheist,X1)
| ~ less(X1,n78)
| ~ accept_city(X0,cityb) ),
inference(resolution,[],[f620,f696]) ).
fof(f1371,plain,
! [X0,X1] :
( accept_population(X0,other,X1)
| ~ less(X1,n1)
| ~ accept_city(X0,cityb) ),
inference(resolution,[],[f620,f692]) ).
fof(f1457,plain,
! [X0] :
( ~ less(n0,n1)
| ~ accept_city(X0,cityb)
| ~ accept_population(X0,atheist,n75)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,native,n0)
| accept_city(X0,towna) ),
inference(resolution,[],[f1371,f1240]) ).
fof(f1458,plain,
! [X0] :
( ~ less(n0,n1)
| ~ accept_city(X0,cityb)
| ~ accept_population(X0,atheist,n75)
| ~ accept_population(X0,native,n0)
| accept_city(X0,towna) ),
inference(forward_subsumption_resolution,[],[f1457,f694]) ).
fof(f1460,plain,
! [X0] :
( ~ less(n0,n1)
| ~ accept_city(X0,cityb)
| ~ accept_population(X0,atheist,n75)
| accept_city(X0,towna) ),
inference(forward_subsumption_resolution,[],[f1458,f693]) ).
fof(f1465,definition,
( spl0_19
<=> less(n0,n1) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f1467,plain,
( ~ less(n0,n1)
| spl0_19 ),
inference(avatar_component_clause,[],[f1465]) ).
fof(f1470,definition,
( spl0_20
<=> ! [X0] :
( ~ accept_city(X0,cityb)
| accept_city(X0,towna)
| ~ accept_population(X0,atheist,n75) ) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f1471,plain,
( ! [X0] :
( ~ accept_population(X0,atheist,n75)
| accept_city(X0,towna)
| ~ accept_city(X0,cityb) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f1470]) ).
fof(f1472,plain,
( spl0_20
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f1460,f1465,f1470]) ).
fof(f1477,definition,
( spl0_21
<=> less(n75,n78) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f1478,plain,
( less(n75,n78)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f1477]) ).
fof(f1479,plain,
( ~ less(n75,n78)
| spl0_21 ),
inference(avatar_component_clause,[],[f1477]) ).
fof(f1556,plain,
less(n0,n1),
inference(resolution,[],[f1351,f952]) ).
fof(f1557,plain,
( $false
| spl0_19 ),
inference(forward_subsumption_resolution,[],[f1556,f1467]) ).
fof(f1558,plain,
spl0_19,
inference(avatar_contradiction_clause,[],[f1557]) ).
fof(f1560,plain,
( ! [X0] :
( accept_city(X0,towna)
| ~ accept_city(X0,cityb)
| ~ less(n75,n78)
| ~ accept_city(X0,cityb) )
| ~ spl0_20 ),
inference(resolution,[],[f1471,f1355]) ).
fof(f1564,plain,
( ! [X0] :
( accept_city(X0,towna)
| ~ accept_city(X0,cityb)
| ~ less(n75,n78) )
| ~ spl0_20 ),
inference(duplicate_literal_removal,[],[f1560]) ).
fof(f1599,plain,
accept_city(muslimcountrybhumanitarianorganization,cityb),
inference(resolution,[],[f875,f617]) ).
fof(f1646,plain,
accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization),
inference(resolution,[],[f714,f623]) ).
fof(f1647,plain,
spl0_2,
inference(avatar_split_clause,[],[f1646,f1252]) ).
fof(f2066,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(f2086,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,[],[f2066,f1228]) ).
fof(f2088,plain,
( ! [X0,X1] :
( ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(n7))))
| less(X0,n78)
| ~ rdn_positive_less(rdnn(X1),rdnn(n8)) )
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f2086,f1278]) ).
fof(f2100,plain,
( less(n75,n78)
| ~ rdn_positive_less(rdnn(n5),rdnn(n8))
| ~ spl0_6 ),
inference(resolution,[],[f2088,f1027]) ).
fof(f2103,plain,
( ~ rdn_positive_less(rdnn(n5),rdnn(n8))
| ~ spl0_6
| spl0_21 ),
inference(forward_subsumption_resolution,[],[f2100,f1479]) ).
fof(f2113,plain,
( $false
| ~ spl0_6
| spl0_21 ),
inference(forward_subsumption_resolution,[],[f2103,f1315]) ).
fof(f2114,plain,
( ~ spl0_6
| spl0_21 ),
inference(avatar_contradiction_clause,[],[f2113]) ).
fof(f2115,plain,
( ! [X0] :
( ~ accept_city(X0,cityb)
| accept_city(X0,towna) )
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1564,f1478]) ).
fof(f2116,plain,
( accept_city(muslimcountrybhumanitarianorganization,towna)
| ~ spl0_20
| ~ spl0_21 ),
inference(resolution,[],[f2115,f1599]) ).
fof(f2118,plain,
( $false
| spl0_1
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f2116,f1250]) ).
fof(f2119,plain,
( spl0_1
| ~ spl0_20
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f2118]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f1255]) ).
cnf(s4,plain,
spl0_6,
inference(sat_conversion,[],[f1289]) ).
cnf(s12,plain,
( ~ spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f1472]) ).
cnf(s21,plain,
spl0_19,
inference(sat_conversion,[],[f1558]) ).
cnf(s25,plain,
spl0_2,
inference(sat_conversion,[],[f1647]) ).
cnf(s47,plain,
( ~ spl0_6
| spl0_21 ),
inference(sat_conversion,[],[f2114]) ).
cnf(s48,plain,
( spl0_1
| ~ spl0_20
| ~ spl0_21 ),
inference(sat_conversion,[],[f2119]) ).
cnf(s53,plain,
spl0_20,
inference(rat,[],[s12,s21]) ).
cnf(s56,plain,
spl0_21,
inference(rat,[],[s47,s4]) ).
cnf(s58,plain,
spl0_1,
inference(rat,[],[s48,s53,s56]) ).
cnf(s61,plain,
$false,
inference(rat,[],[s1,s25,s58]) ).
fof(f2120,plain,
$false,
inference(avatar_sat_refutation,[],[s61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : AGT018+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n014.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 19:11:46 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 5.04/1.41 % (2084068)Detected formulas, will run a generic FOF schedule.
% 5.04/1.41 % (2084077)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1815204735:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.04/1.41 % (2084077)Refutation not found, incomplete strategy
% 5.04/1.41 % (2084077)------------------------------
% 5.04/1.41 % (2084077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.04/1.41 % (2084077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.04/1.41 % (2084077)CaDiCaL version: 2.1.3
% 5.04/1.41 % (2084077)Termination reason: Refutation not found, incomplete strategy
% 5.04/1.41 % (2084077)Time elapsed: 0.001 s
% 5.04/1.41 % (2084077)Peak memory usage: 87 MB
% 5.04/1.41 % (2084077)Instructions burned: 2 (million)
% 5.04/1.41 % (2084079)dis-21_1_sil=8000:lcm=predicate:random_seed=666855113:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 5.04/1.41 % (2084073)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=282983698:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.04/1.41 % (2084078)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3022936827:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.04/1.41 % (2084076)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=870278081:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.04/1.41 % (2084075)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=3327680980:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.04/1.41 % (2084074)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=4113114967:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.04/1.41 % (2084076)Refutation not found, incomplete strategy
% 5.04/1.41 % (2084076)------------------------------
% 5.04/1.41 % (2084076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.04/1.41 % (2084076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.04/1.41 % (2084076)CaDiCaL version: 2.1.3
% 5.04/1.41 % (2084076)Termination reason: Refutation not found, incomplete strategy
% 5.04/1.41 % (2084076)Time elapsed: 0.002 s
% 5.04/1.41 % (2084076)Peak memory usage: 87 MB
% 5.04/1.41 % (2084076)Instructions burned: 2 (million)
% 5.04/1.41 % (2084079)Instruction limit reached!
% 5.04/1.41 % (2084079)------------------------------
% 5.04/1.41 % (2084079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.04/1.41 % (2084079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.04/1.41 % (2084079)CaDiCaL version: 2.1.3
% 5.04/1.41 % (2084079)Termination reason: Instruction limit
% 5.04/1.41 % (2084079)Termination phase: Saturation
% 5.04/1.41 % (2084079)Time elapsed: 0.071 s
% 5.04/1.41 % (2084079)Peak memory usage: 90 MB
% 5.04/1.41 % (2084079)Instructions burned: 130 (million)
% 5.04/1.41 % (2084078)Instruction limit reached!
% 5.04/1.41 % (2084078)------------------------------
% 5.04/1.41 % (2084078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.04/1.41 % (2084078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.04/1.41 % (2084078)CaDiCaL version: 2.1.3
% 5.04/1.41 % (2084078)Termination reason: Instruction limit
% 5.04/1.41 % (2084078)Termination phase: Saturation
% 5.04/1.41 % (2084078)Time elapsed: 0.083 s
% 5.04/1.41 % (2084078)Peak memory usage: 90 MB
% 5.04/1.41 % (2084078)Instructions burned: 139 (million)
% 5.04/1.41 % (2084077)------------------------------
% 5.04/1.41 % (2084077)------------------------------
% 5.04/1.41 % (2084087)lrs+10_1_sil=8000:sp=occurrence:random_seed=3725578761:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.04/1.41 % (2084087)Refutation not found, incomplete strategy
% 5.04/1.41 % (2084087)------------------------------
% 5.04/1.41 % (2084087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.04/1.41 % (2084087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.04/1.41 % (2084087)CaDiCaL version: 2.1.3
% 5.04/1.41 % (2084087)Termination reason: Refutation not found, incomplete strategy
% 5.04/1.41 % (2084087)Time elapsed: 0.003 s
% 5.04/1.41 % (2084087)Peak memory usage: 88 MB
% 7.10/1.81 % (2084087)Instructions burned: 2 (million)
% 7.10/1.81 % (2084089)lrs+1011_1_sil=32000:sp=occurrence:random_seed=964002642:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 7.10/1.81 % (2084088)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2432226575:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.10/1.81 % (2084089)Refutation not found, incomplete strategy
% 7.10/1.81 % (2084089)------------------------------
% 7.10/1.81 % (2084089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.10/1.81 % (2084089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.10/1.81 % (2084089)CaDiCaL version: 2.1.3
% 7.10/1.81 % (2084089)Termination reason: Refutation not found, incomplete strategy
% 7.10/1.81 % (2084089)Time elapsed: 0.002 s
% 7.10/1.81 % (2084089)Peak memory usage: 88 MB
% 7.10/1.81 % (2084089)Instructions burned: 5 (million)
% 7.10/1.81 % (2084088)Refutation not found, incomplete strategy
% 7.10/1.81 % (2084088)------------------------------
% 7.10/1.81 % (2084088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.10/1.81 % (2084088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.10/1.81 % (2084088)CaDiCaL version: 2.1.3
% 7.10/1.81 % (2084088)Termination reason: Refutation not found, incomplete strategy
% 7.10/1.81 % (2084088)Time elapsed: 0.003 s
% 7.10/1.81 % (2084088)Peak memory usage: 88 MB
% 7.10/1.81 % (2084088)Instructions burned: 6 (million)
% 7.10/1.81 % (2084076)------------------------------
% 7.10/1.81 % (2084076)------------------------------
% 7.10/1.81 % (2084089)------------------------------
% 7.10/1.81 % (2084089)------------------------------
% 7.10/1.81 % (2084093)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=683114356:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 7.10/1.81 [W928 19:11:47.056746968 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.
% 7.10/1.81 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.10/1.81 [W928 19:11:47.056792954 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.
% 7.10/1.81 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.10/1.81 [W928 19:11:47.056831091 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.
% 7.10/1.81 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.10/1.81 [W928 19:11:47.056842878 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.
% 7.10/1.81 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.10/1.81 [W928 19:11:47.056871015 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.
% 7.10/1.81 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.10/1.81 [W928 19:11:47.056883215 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.
% 7.10/1.81 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.10/1.81 [W928 19:11:47.056909865 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.
% 7.10/1.81 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.10/1.81 [W928 19:11:47.056921561 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.
% 6.36/1.91 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.36/1.91 [W928 19:11:47.056946778 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.
% 6.36/1.91 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.36/1.91 [W928 19:11:47.056957495 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.
% 6.36/1.91 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.36/1.91 [W928 19:11:47.056982151 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.
% 6.36/1.91 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.36/1.91 [W928 19:11:47.056992755 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.
% 6.36/1.91 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.36/1.91 % (2084087)------------------------------
% 6.36/1.91 % (2084087)------------------------------
% 6.36/1.91 % (2084094)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2218028141:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 6.36/1.91 % (2084088)------------------------------
% 6.36/1.91 % (2084088)------------------------------
% 6.36/1.91 % (2084094)Refutation not found, incomplete strategy
% 6.36/1.91 % (2084094)------------------------------
% 6.36/1.91 % (2084094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/1.91 % (2084094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.91 % (2084094)CaDiCaL version: 2.1.3
% 6.36/1.91 % (2084094)Termination reason: Refutation not found, incomplete strategy
% 6.36/1.91 % (2084094)Time elapsed: 0.002 s
% 6.36/1.91 % (2084094)Peak memory usage: 88 MB
% 6.36/1.91 % (2084094)Instructions burned: 6 (million)
% 6.36/1.91 % (2084093)Instruction limit reached!
% 6.36/1.91 % (2084093)------------------------------
% 6.36/1.91 % (2084093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/1.91 % (2084093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.91 % (2084093)CaDiCaL version: 2.1.3
% 6.36/1.91 % (2084093)Termination reason: Instruction limit
% 6.36/1.91 % (2084093)Termination phase: Saturation
% 6.36/1.91 % (2084093)Time elapsed: 0.114 s
% 6.36/1.91 % (2084093)Peak memory usage: 94 MB
% 6.36/1.91 % (2084093)Instructions burned: 250 (million)
% 6.36/1.91 % (2084074)Refutation not found, incomplete strategy
% 6.36/1.91 % (2084074)------------------------------
% 6.36/1.91 % (2084074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/1.91 % (2084074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.91 % (2084074)CaDiCaL version: 2.1.3
% 6.36/1.91 % (2084074)Termination reason: Refutation not found, incomplete strategy
% 6.36/1.91 % (2084074)Time elapsed: 0.566 s
% 6.36/1.91 % (2084074)Peak memory usage: 127 MB
% 6.36/1.91 % (2084074)Instructions burned: 837 (million)
% 6.36/1.91 % (2084098)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=495059251:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.36/1.91 % (2084096)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=250686746:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 6.36/1.91 % (2084098)Refutation not found, incomplete strategy
% 6.36/1.91 % (2084098)------------------------------
% 6.36/1.91 % (2084098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/1.91 % (2084098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.91 % (2084098)CaDiCaL version: 2.1.3
% 6.36/1.91 % (2084098)Termination reason: Refutation not found, incomplete strategy
% 6.36/1.91 % (2084098)Time elapsed: 0.002 s
% 6.36/1.91 % (2084098)Peak memory usage: 88 MB
% 6.36/1.91 % (2084098)Instructions burned: 2 (million)
% 6.36/1.91 % (2084094)------------------------------
% 6.36/1.91 % (2084094)------------------------------
% 6.36/1.91 % (2084075)Refutation not found, incomplete strategy
% 6.36/1.91 % (2084075)------------------------------
% 6.36/1.91 % (2084075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/1.91 % (2084075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.91 % (2084075)CaDiCaL version: 2.1.3
% 6.36/1.91 % (2084075)Termination reason: Refutation not found, incomplete strategy
% 6.36/1.91 % (2084075)Time elapsed: 0.613 s
% 6.36/1.91 % (2084075)Peak memory usage: 128 MB
% 6.36/1.91 % (2084075)Instructions burned: 904 (million)
% 6.36/1.91 % (2084099)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3441758486:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.36/1.91 % (2084099)Instruction limit reached!
% 6.36/1.91 % (2084099)------------------------------
% 6.36/1.91 % (2084099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/1.91 % (2084099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.91 % (2084099)CaDiCaL version: 2.1.3
% 6.36/1.91 % (2084099)Termination reason: Instruction limit
% 6.36/1.91 % (2084099)Termination phase: Saturation
% 6.36/1.91 % (2084099)Time elapsed: 0.060 s
% 6.36/1.91 % (2084099)Peak memory usage: 89 MB
% 6.36/1.91 % (2084099)Instructions burned: 127 (million)
% 6.36/1.91 % (2084102)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3092974602:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.36/1.91 % (2084102)Refutation not found, incomplete strategy
% 6.36/1.91 % (2084102)------------------------------
% 6.36/1.91 % (2084102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/1.91 % (2084102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.91 % (2084102)CaDiCaL version: 2.1.3
% 6.36/1.91 % (2084102)Termination reason: Refutation not found, incomplete strategy
% 6.36/1.91 % (2084102)Time elapsed: 0.005 s
% 6.36/1.91 % (2084102)Peak memory usage: 88 MB
% 6.36/1.91 % (2084102)Instructions burned: 19 (million)
% 6.36/1.91 % (2084074)------------------------------
% 6.36/1.91 % (2084074)------------------------------
% 6.36/1.91 % (2084104)lrs+10_1_sil=8000:sp=occurrence:random_seed=2132831838:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.36/1.91 % (2084104)Refutation not found, incomplete strategy
% 6.36/1.91 % (2084104)------------------------------
% 6.36/1.91 % (2084104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/1.91 % (2084104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.91 % (2084104)CaDiCaL version: 2.1.3
% 6.36/1.91 % (2084104)Termination reason: Refutation not found, incomplete strategy
% 6.36/1.91 % (2084104)Time elapsed: 0.002 s
% 6.36/1.91 % (2084104)Peak memory usage: 88 MB
% 6.36/1.91 % (2084104)Instructions burned: 2 (million)
% 6.36/1.91 % (2084073)First to succeed.
% 6.36/1.91 % (2084073)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2084068"
% 6.36/1.91 % (2084098)------------------------------
% 6.36/1.91 % (2084098)------------------------------
% 6.36/1.91 % (2084102)------------------------------
% 6.36/1.91 % (2084102)------------------------------
% 6.36/1.91 % (2084075)------------------------------
% 6.36/1.91 % (2084075)------------------------------
% 6.36/1.91 % (2084107)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3770748072:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 6.36/1.91 % (2084107)Refutation not found, incomplete strategy
% 6.36/1.91 % (2084107)------------------------------
% 6.36/1.91 % (2084107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/1.91 % (2084107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.91 % (2084107)CaDiCaL version: 2.1.3
% 6.36/1.91 % (2084107)Termination reason: Refutation not found, incomplete strategy
% 6.36/1.91 % (2084107)Time elapsed: 0.002 s
% 6.36/1.91 % (2084107)Peak memory usage: 88 MB
% 6.36/1.91 % (2084107)Instructions burned: 2 (million)
% 6.36/1.91 % (2084108)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3396219112:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 6.36/1.91 % (2084110)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1840294620:st=8:i=592:sd=3:ep=RST:ss=axioms_2989 on theBenchmark for (2989ds/592Mi)
% 6.36/1.91 % (2084109)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2506387893:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 6.36/1.91 % (2084109)Refutation not found, incomplete strategy
% 6.36/1.91 % (2084109)------------------------------
% 6.36/1.91 % (2084109)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/1.91 % (2084109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.91 % (2084109)CaDiCaL version: 2.1.3
% 6.36/1.91 % (2084109)Termination reason: Refutation not found, incomplete strategy
% 6.36/1.91 % (2084109)Time elapsed: 0.002 s
% 6.36/1.91 % (2084109)Peak memory usage: 88 MB
% 6.36/1.91 % (2084109)Instructions burned: 2 (million)
% 6.36/1.91 % (2084110)Refutation not found, incomplete strategy
% 6.36/1.91 % (2084110)------------------------------
% 6.36/1.91 % (2084110)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/1.91 % (2084110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.91 % (2084110)CaDiCaL version: 2.1.3
% 6.36/1.91 % (2084110)Termination reason: Refutation not found, incomplete strategy
% 6.36/1.91 % (2084110)Time elapsed: 0.007 s
% 6.36/1.91 % (2084110)Peak memory usage: 88 MB
% 6.36/1.91 % (2084110)Instructions burned: 13 (million)
% 6.36/1.91 % (2084104)------------------------------
% 6.36/1.91 % (2084104)------------------------------
% 6.36/1.91 % (2084073)Refutation found. Thanks to Tanya!
% 6.36/1.91 % SZS status Theorem for theBenchmark
% 6.36/1.91 % SZS output start Proof for theBenchmark
% See solution above
% 6.36/2.01 % (2084073)------------------------------
% 6.36/2.01 % (2084073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/2.01 % (2084073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/2.01 % (2084073)CaDiCaL version: 2.1.3
% 6.36/2.01 % (2084073)Termination reason: Refutation
% 6.36/2.01 % (2084073)Time elapsed: 0.826 s
% 6.36/2.01 % (2084073)Peak memory usage: 133 MB
% 6.36/2.01 % (2084073)Instructions burned: 1258 (million)
% 6.36/2.01 % (2084073)------------------------------
% 6.36/2.01 % (2084073)------------------------------
% 6.36/2.01 % (2084068)Success in time 1.249 s
% 6.36/2.01 % Vampire exiting
%------------------------------------------------------------------------------