%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : AGT012+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 : n020.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 5.11s 1.52s
% Output : Refutation 6.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 27
% Syntax : Number of formulae : 122 ( 40 unt; 5 def)
% Number of atoms : 350 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 391 ( 163 ~; 156 |; 56 &)
% ( 9 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 17 usr; 6 prp; 0-4 aty)
% Number of functors : 28 ( 28 usr; 25 con; 0-2 aty)
% Number of variables : 123 ( 0 sgn 123 !; 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/sandbox/benchmark/theBenchmark.p',a1_1) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( accept_population(X0,X3,X1)
& less(X2,X1) )
=> accept_population(X0,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_3) ).
fof(f5,axiom,
! [X0,X1,X2] :
( any_agent_in_all_proposed_teams(X0,X1,X2)
=> accept_leader(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_5) ).
fof(f6,axiom,
! [X0,X1,X2] :
( the_agent_not_in_any_proposed_teams(X0,X1,X2)
=> ~ ( accept_city(X0,X2)
& accept_leader(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_6) ).
fof(f14,axiom,
! [X0] :
( ( accept_population(X0,atheist,n12)
& accept_population(X0,christian,n3)
& accept_population(X0,muslim,n0)
& accept_population(X0,native,n85)
& accept_population(X0,other,n0) )
<=> accept_city(X0,coastvillage) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_7) ).
fof(f16,axiom,
! [X0] :
( ( accept_population(X0,atheist,n75)
& accept_population(X0,christian,n24)
& accept_population(X0,muslim,n1)
& accept_population(X0,native,n0)
& accept_population(X0,other,n0) )
<=> accept_city(X0,towna) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_9) ).
fof(f19,axiom,
! [X0] :
( ( accept_population(X0,atheist,n78)
& accept_population(X0,christian,n20)
& accept_population(X0,muslim,n1)
& accept_population(X0,native,n0)
& accept_population(X0,other,n1) )
<=> accept_city(X0,cityb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_12) ).
fof(f31,axiom,
the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_11) ).
fof(f32,axiom,
any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_12) ).
fof(f117,axiom,
accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,coastvillage,n6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_97) ).
fof(f193,axiom,
accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_173) ).
fof(f345,axiom,
rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn75) ).
fof(f348,axiom,
rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn78) ).
fof(f532,axiom,
rdn_non_zero_digit(rdnn(n7)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit7) ).
fof(f540,axiom,
rdn_positive_less(rdnn(n5),rdnn(n6)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less56) ).
fof(f541,axiom,
rdn_positive_less(rdnn(n6),rdnn(n7)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less67) ).
fof(f542,axiom,
rdn_positive_less(rdnn(n7),rdnn(n8)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less78) ).
fof(f544,axiom,
! [X0,X1,X2] :
( ( rdn_positive_less(rdnn(X0),rdnn(X1))
& rdn_positive_less(rdnn(X1),rdnn(X2)) )
=> rdn_positive_less(rdnn(X0),rdnn(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less_transitivity) ).
fof(f546,axiom,
! [X0,X1,X2] :
( ( rdn_positive_less(rdnn(X0),rdnn(X2))
& rdn_non_zero(X1) )
=> rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less_multi_digit_low) ).
fof(f548,axiom,
! [X0] :
( rdn_non_zero_digit(rdnn(X0))
=> rdn_non_zero(rdnn(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_non_zero_by_digit) ).
fof(f550,axiom,
! [X0,X1,X2,X3] :
( ( rdn_translate(X0,rdn_pos(X2))
& rdn_translate(X1,rdn_pos(X3))
& rdn_positive_less(X2,X3) )
=> less(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_entry_point_pos_pos) ).
fof(f556,conjecture,
~ accept_population(muslimcountrybhumanitarianorganization,christian,n24),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_12) ).
fof(f557,negated_conjecture,
~ ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24),
inference(negated_conjecture,[status(cth)],[f556]) ).
fof(f558,plain,
accept_population(muslimcountrybhumanitarianorganization,christian,n24),
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(f1027,plain,
rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
inference(cnf_transformation,[],[f345]) ).
fof(f1030,plain,
rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
inference(cnf_transformation,[],[f348]) ).
fof(f1214,plain,
rdn_non_zero_digit(rdnn(n7)),
inference(cnf_transformation,[],[f532]) ).
fof(f1222,plain,
rdn_positive_less(rdnn(n5),rdnn(n6)),
inference(cnf_transformation,[],[f540]) ).
fof(f1223,plain,
rdn_positive_less(rdnn(n6),rdnn(n7)),
inference(cnf_transformation,[],[f541]) ).
fof(f1224,plain,
rdn_positive_less(rdnn(n7),rdnn(n8)),
inference(cnf_transformation,[],[f542]) ).
fof(f1226,plain,
! [X2,X0,X1] :
( ~ rdn_positive_less(rdnn(X1),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1))
| rdn_positive_less(rdnn(X0),rdnn(X2)) ),
inference(cnf_transformation,[],[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,n24),
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(f1270,plain,
accept_city(muslimcountrybhumanitarianorganization,coastvillage),
inference(resolution,[],[f799,f617]) ).
fof(f1280,definition,
( spl0_5
<=> rdn_non_zero(rdnn(n7)) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f1281,plain,
( rdn_non_zero(rdnn(n7))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f1280]) ).
fof(f1282,plain,
( ~ rdn_non_zero(rdnn(n7))
| spl0_5 ),
inference(avatar_component_clause,[],[f1280]) ).
fof(f1290,plain,
rdn_non_zero(rdnn(n7)),
inference(resolution,[],[f1214,f1230]) ).
fof(f1291,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f1290,f1282]) ).
fof(f1292,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f1291]) ).
fof(f1305,plain,
! [X0] :
( ~ rdn_positive_less(rdnn(X0),rdnn(n7))
| rdn_positive_less(rdnn(X0),rdnn(n8)) ),
inference(resolution,[],[f1226,f1224]) ).
fof(f1311,plain,
! [X0] :
( ~ rdn_positive_less(rdnn(X0),rdnn(n6))
| rdn_positive_less(rdnn(X0),rdnn(n7)) ),
inference(resolution,[],[f1226,f1223]) ).
fof(f1316,plain,
rdn_positive_less(rdnn(n5),rdnn(n7)),
inference(resolution,[],[f1311,f1222]) ).
fof(f1317,plain,
rdn_positive_less(rdnn(n5),rdnn(n8)),
inference(resolution,[],[f1316,f1305]) ).
fof(f1340,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(f1342,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,[],[f1340,f693]) ).
fof(f1344,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,[],[f1342,f694]) ).
fof(f1345,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
| ~ accept_city(muslimcountrybhumanitarianorganization,coastvillage)
| accept_city(muslimcountrybhumanitarianorganization,towna)
| ~ accept_city(muslimcountrybhumanitarianorganization,cityb) ),
inference(resolution,[],[f1344,f1238]) ).
fof(f1347,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
| accept_city(muslimcountrybhumanitarianorganization,towna)
| ~ accept_city(muslimcountrybhumanitarianorganization,cityb) ),
inference(forward_subsumption_resolution,[],[f1345,f1270]) ).
fof(f1348,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
| ~ accept_city(muslimcountrybhumanitarianorganization,cityb)
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f1347,f1245]) ).
fof(f1350,definition,
( spl0_6
<=> accept_city(muslimcountrybhumanitarianorganization,cityb) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f1351,plain,
( accept_city(muslimcountrybhumanitarianorganization,cityb)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f1350]) ).
fof(f1352,plain,
( ~ accept_city(muslimcountrybhumanitarianorganization,cityb)
| spl0_6 ),
inference(avatar_component_clause,[],[f1350]) ).
fof(f1354,definition,
( spl0_7
<=> accept_population(muslimcountrybhumanitarianorganization,atheist,n75) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f1356,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
| spl0_7 ),
inference(avatar_component_clause,[],[f1354]) ).
fof(f1357,plain,
( ~ spl0_6
| ~ spl0_7
| spl0_1 ),
inference(avatar_split_clause,[],[f1348,f1243,f1354,f1350]) ).
fof(f1365,plain,
accept_city(muslimcountrybhumanitarianorganization,cityb),
inference(resolution,[],[f875,f617]) ).
fof(f1366,plain,
( $false
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f1365,f1352]) ).
fof(f1367,plain,
spl0_6,
inference(avatar_contradiction_clause,[],[f1366]) ).
fof(f1397,plain,
! [X0,X1] :
( accept_population(X0,atheist,X1)
| ~ less(X1,n78)
| ~ accept_city(X0,cityb) ),
inference(resolution,[],[f620,f696]) ).
fof(f1548,plain,
( ~ less(n75,n78)
| ~ accept_city(muslimcountrybhumanitarianorganization,cityb)
| spl0_7 ),
inference(resolution,[],[f1397,f1356]) ).
fof(f1549,plain,
( ~ less(n75,n78)
| ~ spl0_6
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f1548,f1351]) ).
fof(f2211,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(f2231,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,[],[f2211,f1228]) ).
fof(f2233,plain,
( ! [X0,X1] :
( ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(n7))))
| less(X0,n78)
| ~ rdn_positive_less(rdnn(X1),rdnn(n8)) )
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f2231,f1281]) ).
fof(f2246,plain,
( less(n75,n78)
| ~ rdn_positive_less(rdnn(n5),rdnn(n8))
| ~ spl0_5 ),
inference(resolution,[],[f2233,f1027]) ).
fof(f2249,plain,
( ~ rdn_positive_less(rdnn(n5),rdnn(n8))
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f2246,f1549]) ).
fof(f2259,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f2249,f1317]) ).
fof(f2260,plain,
( ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f2259]) ).
cnf(s2,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(sat_conversion,[],[f1255]) ).
cnf(s4,plain,
spl0_3,
inference(sat_conversion,[],[f1259]) ).
cnf(s6,plain,
spl0_5,
inference(sat_conversion,[],[f1292]) ).
cnf(s7,plain,
( spl0_1
| ~ spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f1357]) ).
cnf(s8,plain,
spl0_6,
inference(sat_conversion,[],[f1367]) ).
cnf(s59,plain,
( ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f2260]) ).
cnf(s64,plain,
( spl0_1
| ~ spl0_7 ),
inference(rat,[],[s7,s8]) ).
cnf(s65,plain,
spl0_7,
inference(rat,[],[s59,s8,s6]) ).
cnf(s66,plain,
spl0_1,
inference(rat,[],[s64,s65]) ).
cnf(s68,plain,
$false,
inference(rat,[],[s2,s4,s66]) ).
fof(f2261,plain,
$false,
inference(avatar_sat_refutation,[],[s68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT012+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n020.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 19:11:11 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 Running first-order theorem proving
% 0.09/0.20 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
% 5.11/1.52 % (438643)Detected formulas, will run a generic FOF schedule.
% 5.11/1.52 % (438648)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=3150666252:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.11/1.52 % (438653)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1471395273:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.11/1.52 % (438650)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=2551677204:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.11/1.52 % (438652)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=115454448:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.11/1.52 % (438651)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2048355471:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.11/1.52 % (438649)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=2559752315:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.11/1.52 % (438654)dis-21_1_sil=8000:lcm=predicate:random_seed=3145801643: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)
% 5.11/1.52 % (438651)Refutation not found, incomplete strategy
% 5.11/1.52 % (438651)------------------------------
% 5.11/1.52 % (438651)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.11/1.52 % (438651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.11/1.52 % (438651)CaDiCaL version: 2.1.3
% 5.11/1.52 % (438651)Termination reason: Refutation not found, incomplete strategy
% 5.11/1.52 % (438651)Time elapsed: 0.002 s
% 5.11/1.52 % (438651)Peak memory usage: 87 MB
% 5.11/1.52 % (438651)Instructions burned: 2 (million)
% 5.11/1.52 % (438652)Refutation not found, incomplete strategy
% 5.11/1.52 % (438652)------------------------------
% 5.11/1.52 % (438652)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.11/1.52 % (438652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.11/1.52 % (438652)CaDiCaL version: 2.1.3
% 5.11/1.52 % (438652)Termination reason: Refutation not found, incomplete strategy
% 5.11/1.52 % (438652)Time elapsed: 0.003 s
% 5.11/1.52 % (438652)Peak memory usage: 87 MB
% 5.11/1.52 % (438652)Instructions burned: 3 (million)
% 5.11/1.52 % (438654)Instruction limit reached!
% 5.11/1.52 % (438654)------------------------------
% 5.11/1.52 % (438654)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.11/1.52 % (438654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.11/1.52 % (438654)CaDiCaL version: 2.1.3
% 5.11/1.52 % (438654)Termination reason: Instruction limit
% 5.11/1.52 % (438654)Termination phase: Saturation
% 5.11/1.52 % (438654)Time elapsed: 0.071 s
% 5.11/1.52 % (438654)Peak memory usage: 90 MB
% 5.11/1.52 % (438654)Instructions burned: 131 (million)
% 5.11/1.52 % (438653)Instruction limit reached!
% 5.11/1.52 % (438653)------------------------------
% 5.11/1.52 % (438653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.11/1.52 % (438653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.11/1.52 % (438653)CaDiCaL version: 2.1.3
% 5.11/1.52 % (438653)Termination reason: Instruction limit
% 5.11/1.52 % (438653)Termination phase: Saturation
% 5.11/1.52 % (438653)Time elapsed: 0.081 s
% 5.11/1.52 % (438653)Peak memory usage: 90 MB
% 5.11/1.52 % (438653)Instructions burned: 140 (million)
% 5.11/1.52 % (438662)lrs+10_1_sil=8000:sp=occurrence:random_seed=2158740397:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.11/1.52 % (438662)Refutation not found, incomplete strategy
% 5.11/1.52 % (438662)------------------------------
% 5.11/1.52 % (438662)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.11/1.52 % (438662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.11/1.52 % (438662)CaDiCaL version: 2.1.3
% 5.11/1.52 % (438662)Termination reason: Refutation not found, incomplete strategy
% 5.11/1.52 % (438662)Time elapsed: 0.003 s
% 5.11/1.52 % (438662)Peak memory usage: 88 MB
% 5.11/1.52 % (438662)Instructions burned: 3 (million)
% 5.11/1.52 % (438652)------------------------------
% 5.11/1.52 % (438652)------------------------------
% 5.11/1.52 % (438651)------------------------------
% 5.11/1.52 % (438651)------------------------------
% 5.11/1.52 % (438663)lrs+10_1_sil=32000:urr=on:br=off:random_seed=87199786:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.11/1.52 % (438663)Refutation not found, incomplete strategy
% 5.11/1.52 % (438663)------------------------------
% 5.11/1.52 % (438663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.11/1.52 % (438663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.11/1.52 % (438663)CaDiCaL version: 2.1.3
% 5.11/1.52 % (438663)Termination reason: Refutation not found, incomplete strategy
% 5.11/1.52 % (438663)Time elapsed: 0.004 s
% 5.11/1.52 % (438663)Peak memory usage: 88 MB
% 5.11/1.52 % (438663)Instructions burned: 6 (million)
% 5.11/1.52 [W928 19:11:12.131842173 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.11/1.52 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.11/1.52 [W928 19:11:12.131879256 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.11/1.52 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.11/1.52 [W928 19:11:12.131918783 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.11/1.52 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.11/1.52 [W928 19:11:12.131931117 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.11/1.52 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.11/1.52 [W928 19:11:12.131958587 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.11/1.52 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.11/1.52 [W928 19:11:12.131970860 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.11/1.52 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.11/1.52 [W928 19:11:12.131996974 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.11/1.52 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.11/1.52 [W928 19:11:12.132020064 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.11/1.52 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.11/1.52 [W928 19:11:12.132047941 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.11/1.52 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.11/1.52 [W928 19:11:12.132059825 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.11/1.52 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.11/1.52 [W928 19:11:12.132085791 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.11/1.52 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.11/1.52 [W928 19:11:12.132097645 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.11/1.52 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.11/1.52 % (438666)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1030562209:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 5.11/1.52 % (438667)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=2605892936:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 5.11/1.52 % (438666)Refutation not found, incomplete strategy
% 5.11/1.52 % (438666)------------------------------
% 5.11/1.52 % (438666)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.11/1.52 % (438666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.11/1.52 % (438666)CaDiCaL version: 2.1.3
% 5.11/1.52 % (438666)Termination reason: Refutation not found, incomplete strategy
% 5.11/1.52 % (438666)Time elapsed: 0.004 s
% 5.11/1.52 % (438666)Peak memory usage: 88 MB
% 5.11/1.52 % (438666)Instructions burned: 6 (million)
% 5.11/1.52 % (438648)First to succeed.
% 5.11/1.52 % (438648)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-438643"
% 5.11/1.52 % (438662)------------------------------
% 5.11/1.52 % (438662)------------------------------
% 5.11/1.52 % (438663)------------------------------
% 5.11/1.52 % (438663)------------------------------
% 5.11/1.52 % (438667)Instruction limit reached!
% 5.11/1.52 % (438667)------------------------------
% 5.11/1.52 % (438667)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.11/1.52 % (438667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.11/1.52 % (438667)CaDiCaL version: 2.1.3
% 5.11/1.52 % (438667)Termination reason: Instruction limit
% 5.11/1.52 % (438667)Termination phase: Saturation
% 5.11/1.52 % (438667)Time elapsed: 0.114 s
% 5.11/1.52 % (438667)Peak memory usage: 94 MB
% 5.11/1.52 % (438667)Instructions burned: 248 (million)
% 5.11/1.52 % (438649)Refutation not found, incomplete strategy
% 5.11/1.52 % (438649)------------------------------
% 5.11/1.52 % (438649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.11/1.52 % (438649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.11/1.52 % (438649)CaDiCaL version: 2.1.3
% 5.11/1.52 % (438649)Termination reason: Refutation not found, incomplete strategy
% 5.11/1.52 % (438649)Time elapsed: 0.553 s
% 5.11/1.52 % (438649)Peak memory usage: 125 MB
% 5.11/1.52 % (438649)Instructions burned: 832 (million)
% 5.11/1.52 % (438650)Refutation not found, incomplete strategy
% 5.11/1.52 % (438650)------------------------------
% 5.11/1.52 % (438650)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.11/1.52 % (438650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.11/1.52 % (438650)CaDiCaL version: 2.1.3
% 5.11/1.52 % (438650)Termination reason: Refutation not found, incomplete strategy
% 5.11/1.52 % (438650)Time elapsed: 0.566 s
% 5.11/1.52 % (438650)Peak memory usage: 127 MB
% 5.11/1.52 % (438650)Instructions burned: 906 (million)
% 5.11/1.52 % (438666)------------------------------
% 5.11/1.52 % (438666)------------------------------
% 5.11/1.52 % (438670)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=857271556:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 5.11/1.52 % (438671)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2045891501:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 5.11/1.52 % (438670)Refutation not found, incomplete strategy
% 5.11/1.52 % (438670)------------------------------
% 5.11/1.52 % (438670)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.11/1.52 % (438670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.11/1.52 % (438670)CaDiCaL version: 2.1.3
% 5.11/1.52 % (438670)Termination reason: Refutation not found, incomplete strategy
% 5.11/1.52 % (438670)Time elapsed: 0.006 s
% 5.11/1.52 % (438670)Peak memory usage: 88 MB
% 5.11/1.52 % (438670)Instructions burned: 10 (million)
% 5.11/1.52 % (438648)Refutation found. Thanks to Tanya!
% 5.11/1.52 % SZS status Theorem for theBenchmark
% 5.11/1.52 % SZS output start Proof for theBenchmark
% See solution above
% 6.73/1.72 % (438648)------------------------------
% 6.73/1.72 % (438648)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.73/1.72 % (438648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/1.72 % (438648)CaDiCaL version: 2.1.3
% 6.73/1.72 % (438648)Termination reason: Refutation
% 6.73/1.72 % (438648)Time elapsed: 0.485 s
% 6.73/1.72 % (438648)Peak memory usage: 135 MB
% 6.73/1.72 % (438648)Instructions burned: 1273 (million)
% 6.73/1.72 % (438648)------------------------------
% 6.73/1.72 % (438648)------------------------------
% 6.73/1.72 % (438643)Success in time 0.879 s
% 6.73/1.72 % Vampire exiting
%------------------------------------------------------------------------------