%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : AGT025+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 : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:06:38 AM UTC 2026
% Result : Theorem 7.44s 1.94s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 32
% Syntax : Number of formulae : 140 ( 50 unt; 6 def)
% Number of atoms : 388 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 430 ( 182 ~; 175 |; 56 &)
% ( 10 <=>; 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 : 31 ( 31 usr; 28 con; 0-2 aty)
% Number of variables : 147 ( 0 sgn 143 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2,X3] :
( accept_team(X0,X3,X1,X2)
<=> ( accept_city(X0,X1)
& accept_leader(X0,X3)
& accept_number(X0,X2) ) ),
file('/export/starexec/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,
? [X0,X1] : ~ accept_population(X0,X1,n25),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query_25) ).
fof(f557,negated_conjecture,
~ ? [X0,X1] : ~ accept_population(X0,X1,n25),
inference(negated_conjecture,[status(cth)],[f556]) ).
fof(f564,plain,
! [X0,X1,X2,X3] :
( accept_population(X0,X3,X2)
| ~ accept_population(X0,X3,X1)
| ~ less(X2,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f565,plain,
! [X0,X1,X2,X3] :
( accept_population(X0,X3,X2)
| ~ accept_population(X0,X3,X1)
| ~ less(X2,X1) ),
inference(flattening,[],[f564]) ).
fof(f567,plain,
! [X0,X1,X2] :
( accept_leader(X0,X1)
| ~ any_agent_in_all_proposed_teams(X0,X1,X2) ),
inference(ennf_transformation,[],[f5]) ).
fof(f568,plain,
! [X0,X1,X2] :
( ~ accept_city(X0,X2)
| ~ accept_leader(X0,X1)
| ~ the_agent_not_in_any_proposed_teams(X0,X1,X2) ),
inference(ennf_transformation,[],[f6]) ).
fof(f569,plain,
! [X0,X1,X2] :
( ~ accept_city(X0,X2)
| ~ accept_leader(X0,X1)
| ~ the_agent_not_in_any_proposed_teams(X0,X1,X2) ),
inference(flattening,[],[f568]) ).
fof(f570,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2)) ),
inference(ennf_transformation,[],[f544]) ).
fof(f571,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2)) ),
inference(flattening,[],[f570]) ).
fof(f573,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1))
| ~ rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_non_zero(X1) ),
inference(ennf_transformation,[],[f546]) ).
fof(f574,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1))
| ~ rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_non_zero(X1) ),
inference(flattening,[],[f573]) ).
fof(f576,plain,
! [X0] :
( rdn_non_zero(rdnn(X0))
| ~ rdn_non_zero_digit(rdnn(X0)) ),
inference(ennf_transformation,[],[f548]) ).
fof(f578,plain,
! [X0,X1,X2,X3] :
( less(X0,X1)
| ~ rdn_translate(X0,rdn_pos(X2))
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_positive_less(X2,X3) ),
inference(ennf_transformation,[],[f550]) ).
fof(f579,plain,
! [X0,X1,X2,X3] :
( less(X0,X1)
| ~ rdn_translate(X0,rdn_pos(X2))
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_positive_less(X2,X3) ),
inference(flattening,[],[f578]) ).
fof(f584,plain,
! [X0,X1] : accept_population(X0,X1,n25),
inference(ennf_transformation,[],[f557]) ).
fof(f585,plain,
! [X0,X1,X2,X3] :
( ( accept_team(X0,X3,X1,X2)
| ~ accept_city(X0,X1)
| ~ accept_leader(X0,X3)
| ~ accept_number(X0,X2) )
& ( ( accept_city(X0,X1)
& accept_leader(X0,X3)
& accept_number(X0,X2) )
| ~ accept_team(X0,X3,X1,X2) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f586,plain,
! [X0,X1,X2,X3] :
( ( accept_team(X0,X3,X1,X2)
| ~ accept_city(X0,X1)
| ~ accept_leader(X0,X3)
| ~ accept_number(X0,X2) )
& ( ( accept_city(X0,X1)
& accept_leader(X0,X3)
& accept_number(X0,X2) )
| ~ accept_team(X0,X3,X1,X2) ) ),
inference(flattening,[],[f585]) ).
fof(f599,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n12)
& accept_population(X0,christian,n3)
& accept_population(X0,muslim,n0)
& accept_population(X0,native,n85)
& accept_population(X0,other,n0) )
| ~ accept_city(X0,coastvillage) )
& ( accept_city(X0,coastvillage)
| ~ accept_population(X0,atheist,n12)
| ~ accept_population(X0,christian,n3)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,native,n85)
| ~ accept_population(X0,other,n0) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f600,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n12)
& accept_population(X0,christian,n3)
& accept_population(X0,muslim,n0)
& accept_population(X0,native,n85)
& accept_population(X0,other,n0) )
| ~ accept_city(X0,coastvillage) )
& ( accept_city(X0,coastvillage)
| ~ accept_population(X0,atheist,n12)
| ~ accept_population(X0,christian,n3)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,native,n85)
| ~ accept_population(X0,other,n0) ) ),
inference(flattening,[],[f599]) ).
fof(f603,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n75)
& accept_population(X0,christian,n24)
& accept_population(X0,muslim,n1)
& accept_population(X0,native,n0)
& accept_population(X0,other,n0) )
| ~ accept_city(X0,towna) )
& ( accept_city(X0,towna)
| ~ accept_population(X0,atheist,n75)
| ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,other,n0) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f604,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n75)
& accept_population(X0,christian,n24)
& accept_population(X0,muslim,n1)
& accept_population(X0,native,n0)
& accept_population(X0,other,n0) )
| ~ accept_city(X0,towna) )
& ( accept_city(X0,towna)
| ~ accept_population(X0,atheist,n75)
| ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,other,n0) ) ),
inference(flattening,[],[f603]) ).
fof(f609,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n78)
& accept_population(X0,christian,n20)
& accept_population(X0,muslim,n1)
& accept_population(X0,native,n0)
& accept_population(X0,other,n1) )
| ~ accept_city(X0,cityb) )
& ( accept_city(X0,cityb)
| ~ accept_population(X0,atheist,n78)
| ~ accept_population(X0,christian,n20)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,other,n1) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f610,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n78)
& accept_population(X0,christian,n20)
& accept_population(X0,muslim,n1)
& accept_population(X0,native,n0)
& accept_population(X0,other,n1) )
| ~ accept_city(X0,cityb) )
& ( accept_city(X0,cityb)
| ~ accept_population(X0,atheist,n78)
| ~ accept_population(X0,christian,n20)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,other,n1) ) ),
inference(flattening,[],[f609]) ).
fof(f617,plain,
! [X2,X3,X0,X1] :
( ~ accept_team(X0,X3,X1,X2)
| accept_city(X0,X1) ),
inference(cnf_transformation,[],[f586]) ).
fof(f620,plain,
! [X2,X3,X0,X1] :
( ~ accept_population(X0,X3,X1)
| accept_population(X0,X3,X2)
| ~ less(X2,X1) ),
inference(cnf_transformation,[],[f565]) ).
fof(f623,plain,
! [X2,X0,X1] :
( ~ any_agent_in_all_proposed_teams(X0,X1,X2)
| accept_leader(X0,X1) ),
inference(cnf_transformation,[],[f567]) ).
fof(f624,plain,
! [X2,X0,X1] :
( ~ the_agent_not_in_any_proposed_teams(X0,X1,X2)
| ~ accept_leader(X0,X1)
| ~ accept_city(X0,X2) ),
inference(cnf_transformation,[],[f569]) ).
fof(f662,plain,
! [X0] :
( accept_population(X0,other,n0)
| ~ accept_city(X0,coastvillage) ),
inference(cnf_transformation,[],[f600]) ).
fof(f673,plain,
! [X0] :
( ~ accept_population(X0,other,n0)
| ~ accept_population(X0,atheist,n75)
| ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,native,n0)
| accept_city(X0,towna) ),
inference(cnf_transformation,[],[f604]) ).
fof(f693,plain,
! [X0] :
( accept_population(X0,native,n0)
| ~ accept_city(X0,cityb) ),
inference(cnf_transformation,[],[f610]) ).
fof(f694,plain,
! [X0] :
( accept_population(X0,muslim,n1)
| ~ accept_city(X0,cityb) ),
inference(cnf_transformation,[],[f610]) ).
fof(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,[],[f571]) ).
fof(f1228,plain,
! [X2,X0,X1] :
( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1))
| ~ rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_non_zero(X1) ),
inference(cnf_transformation,[],[f574]) ).
fof(f1230,plain,
! [X0] :
( ~ rdn_non_zero_digit(rdnn(X0))
| rdn_non_zero(rdnn(X0)) ),
inference(cnf_transformation,[],[f576]) ).
fof(f1232,plain,
! [X2,X3,X0,X1] :
( ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_translate(X0,rdn_pos(X2))
| less(X0,X1)
| ~ rdn_positive_less(X2,X3) ),
inference(cnf_transformation,[],[f579]) ).
fof(f1238,plain,
! [X0,X1] : accept_population(X0,X1,n25),
inference(cnf_transformation,[],[f584]) ).
fof(f1241,plain,
( ~ accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization)
| ~ accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(resolution,[],[f713,f624]) ).
fof(f1243,definition,
( spl0_1
<=> accept_city(muslimcountrybhumanitarianorganization,towna) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f1245,plain,
( ~ accept_city(muslimcountrybhumanitarianorganization,towna)
| spl0_1 ),
inference(avatar_component_clause,[],[f1243]) ).
fof(f1247,definition,
( spl0_2
<=> accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f1250,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f1241,f1247,f1243]) ).
fof(f1265,plain,
rdn_non_zero(rdnn(n2)),
inference(resolution,[],[f1230,f1209]) ).
fof(f1268,plain,
! [X0] :
( ~ accept_population(X0,native,n0)
| ~ accept_population(X0,atheist,n75)
| ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,muslim,n1)
| ~ accept_city(X0,coastvillage)
| accept_city(X0,towna) ),
inference(resolution,[],[f662,f673]) ).
fof(f1270,plain,
! [X0] :
( ~ accept_population(X0,atheist,n75)
| ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,muslim,n1)
| ~ accept_city(X0,coastvillage)
| accept_city(X0,towna)
| ~ accept_city(X0,cityb) ),
inference(resolution,[],[f1268,f693]) ).
fof(f1271,plain,
! [X0] :
( ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,atheist,n75)
| ~ accept_city(X0,coastvillage)
| accept_city(X0,towna)
| ~ accept_city(X0,cityb) ),
inference(forward_subsumption_resolution,[],[f1270,f694]) ).
fof(f1272,plain,
accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization),
inference(resolution,[],[f714,f623]) ).
fof(f1273,plain,
spl0_2,
inference(avatar_split_clause,[],[f1272,f1247]) ).
fof(f1276,plain,
! [X0,X1] :
( ~ rdn_positive_less(X1,rdn(rdnn(n5),rdnn(n2)))
| less(X0,n25)
| ~ rdn_translate(X0,rdn_pos(X1)) ),
inference(resolution,[],[f1232,f977]) ).
fof(f1288,plain,
rdn_non_zero(rdnn(n7)),
inference(resolution,[],[f1214,f1230]) ).
fof(f1299,plain,
! [X0] :
( ~ rdn_positive_less(rdnn(X0),rdnn(n7))
| rdn_positive_less(rdnn(X0),rdnn(n8)) ),
inference(resolution,[],[f1226,f1224]) ).
fof(f1307,plain,
! [X0] :
( ~ rdn_positive_less(rdnn(X0),rdnn(n6))
| rdn_positive_less(rdnn(X0),rdnn(n7)) ),
inference(resolution,[],[f1226,f1223]) ).
fof(f1311,plain,
rdn_positive_less(rdnn(n5),rdnn(n7)),
inference(resolution,[],[f1307,f1222]) ).
fof(f1312,plain,
rdn_positive_less(rdnn(n5),rdnn(n8)),
inference(resolution,[],[f1311,f1299]) ).
fof(f1333,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,f1276]) ).
fof(f1334,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,[],[f1333,f1265]) ).
fof(f1349,plain,
accept_city(muslimcountrybhumanitarianorganization,cityb),
inference(resolution,[],[f875,f617]) ).
fof(f1358,plain,
accept_city(muslimcountrybhumanitarianorganization,coastvillage),
inference(resolution,[],[f799,f617]) ).
fof(f1370,plain,
! [X2,X0,X1] :
( accept_population(X0,X1,X2)
| ~ less(X2,n25) ),
inference(resolution,[],[f620,f1238]) ).
fof(f1374,plain,
! [X0,X1] :
( accept_population(X0,atheist,X1)
| ~ less(X1,n78)
| ~ accept_city(X0,cityb) ),
inference(resolution,[],[f620,f696]) ).
fof(f1398,plain,
! [X0] :
( ~ less(n24,n25)
| ~ accept_population(X0,atheist,n75)
| ~ accept_city(X0,coastvillage)
| accept_city(X0,towna)
| ~ accept_city(X0,cityb) ),
inference(resolution,[],[f1370,f1271]) ).
fof(f1409,definition,
( spl0_7
<=> ! [X0] :
( ~ accept_population(X0,atheist,n75)
| ~ accept_city(X0,cityb)
| accept_city(X0,towna)
| ~ accept_city(X0,coastvillage) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f1410,plain,
( ! [X0] :
( ~ accept_population(X0,atheist,n75)
| ~ accept_city(X0,cityb)
| accept_city(X0,towna)
| ~ accept_city(X0,coastvillage) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f1409]) ).
fof(f1412,definition,
( spl0_8
<=> less(n24,n25) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f1414,plain,
( ~ less(n24,n25)
| spl0_8 ),
inference(avatar_component_clause,[],[f1412]) ).
fof(f1415,plain,
( spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f1398,f1412,f1409]) ).
fof(f1629,plain,
( less(n24,n25)
| ~ rdn_positive_less(rdnn(n4),rdnn(n5)) ),
inference(resolution,[],[f976,f1334]) ).
fof(f1632,plain,
( ~ rdn_positive_less(rdnn(n4),rdnn(n5))
| spl0_8 ),
inference(forward_subsumption_resolution,[],[f1629,f1414]) ).
fof(f1633,plain,
( $false
| spl0_8 ),
inference(forward_subsumption_resolution,[],[f1632,f1221]) ).
fof(f1634,plain,
spl0_8,
inference(avatar_contradiction_clause,[],[f1633]) ).
fof(f1636,plain,
( ! [X0] :
( ~ accept_city(X0,cityb)
| accept_city(X0,towna)
| ~ accept_city(X0,coastvillage)
| ~ less(n75,n78)
| ~ accept_city(X0,cityb) )
| ~ spl0_7 ),
inference(resolution,[],[f1410,f1374]) ).
fof(f1642,plain,
( ! [X0] :
( ~ accept_city(X0,cityb)
| accept_city(X0,towna)
| ~ accept_city(X0,coastvillage)
| ~ less(n75,n78) )
| ~ spl0_7 ),
inference(duplicate_literal_removal,[],[f1636]) ).
fof(f1648,definition,
( spl0_40
<=> ! [X0] :
( ~ accept_city(X0,cityb)
| ~ accept_city(X0,coastvillage)
| accept_city(X0,towna) ) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f1649,plain,
( ! [X0] :
( ~ accept_city(X0,cityb)
| ~ accept_city(X0,coastvillage)
| accept_city(X0,towna) )
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f1648]) ).
fof(f1665,definition,
( spl0_44
<=> less(n75,n78) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f1667,plain,
( ~ less(n75,n78)
| spl0_44 ),
inference(avatar_component_clause,[],[f1665]) ).
fof(f1668,plain,
( ~ spl0_44
| spl0_40
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f1642,f1409,f1648,f1665]) ).
fof(f2232,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(f2252,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,[],[f2232,f1228]) ).
fof(f2254,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,[],[f2252,f1288]) ).
fof(f2257,plain,
( less(n75,n78)
| ~ rdn_positive_less(rdnn(n5),rdnn(n8)) ),
inference(resolution,[],[f2254,f1027]) ).
fof(f2260,plain,
( ~ rdn_positive_less(rdnn(n5),rdnn(n8))
| spl0_44 ),
inference(forward_subsumption_resolution,[],[f2257,f1667]) ).
fof(f2270,plain,
( $false
| spl0_44 ),
inference(forward_subsumption_resolution,[],[f2260,f1312]) ).
fof(f2271,plain,
spl0_44,
inference(avatar_contradiction_clause,[],[f2270]) ).
fof(f2274,plain,
( ~ accept_city(muslimcountrybhumanitarianorganization,coastvillage)
| accept_city(muslimcountrybhumanitarianorganization,towna)
| ~ spl0_40 ),
inference(resolution,[],[f1649,f1349]) ).
fof(f2277,plain,
( accept_city(muslimcountrybhumanitarianorganization,towna)
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f2274,f1358]) ).
fof(f2278,plain,
( $false
| spl0_1
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f2277,f1245]) ).
fof(f2279,plain,
( spl0_1
| ~ spl0_40 ),
inference(avatar_contradiction_clause,[],[f2278]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f1250]) ).
cnf(s3,plain,
spl0_2,
inference(sat_conversion,[],[f1273]) ).
cnf(s6,plain,
( spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f1415]) ).
cnf(s27,plain,
spl0_8,
inference(sat_conversion,[],[f1634]) ).
cnf(s31,plain,
( ~ spl0_7
| spl0_40
| ~ spl0_44 ),
inference(sat_conversion,[],[f1668]) ).
cnf(s61,plain,
spl0_44,
inference(sat_conversion,[],[f2271]) ).
cnf(s62,plain,
( spl0_1
| ~ spl0_40 ),
inference(sat_conversion,[],[f2279]) ).
cnf(s63,plain,
( ~ spl0_7
| spl0_40 ),
inference(rat,[],[s31,s61]) ).
cnf(s70,plain,
spl0_7,
inference(rat,[],[s6,s27]) ).
cnf(s71,plain,
spl0_40,
inference(rat,[],[s63,s70]) ).
cnf(s72,plain,
spl0_1,
inference(rat,[],[s62,s71]) ).
cnf(s76,plain,
$false,
inference(rat,[],[s1,s3,s72]) ).
fof(f2280,plain,
$false,
inference(avatar_sat_refutation,[],[s76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT025+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n017.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 19:09:21 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 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
% 4.04/1.21 % (3908924)Detected formulas, will run a generic FOF schedule.
% 4.04/1.21 % (3908933)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3857189666:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.04/1.21 % (3908933)Refutation not found, incomplete strategy
% 4.04/1.21 % (3908933)------------------------------
% 4.04/1.21 % (3908933)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.04/1.21 % (3908933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/1.21 % (3908933)CaDiCaL version: 2.1.3
% 4.04/1.21 % (3908933)Termination reason: Refutation not found, incomplete strategy
% 4.04/1.21 % (3908933)Time elapsed: 0.001 s
% 4.04/1.21 % (3908933)Peak memory usage: 86 MB
% 4.04/1.21 % (3908933)Instructions burned: 2 (million)
% 4.04/1.21 % (3908932)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1383874325:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.04/1.21 % (3908931)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=3740456026:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.04/1.21 % (3908929)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=230321423:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.04/1.21 % (3908930)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=766610657:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.04/1.21 % (3908932)Refutation not found, incomplete strategy
% 4.04/1.21 % (3908932)------------------------------
% 4.04/1.21 % (3908932)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.04/1.21 % (3908932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/1.21 % (3908932)CaDiCaL version: 2.1.3
% 4.04/1.21 % (3908932)Termination reason: Refutation not found, incomplete strategy
% 4.04/1.21 % (3908932)Time elapsed: 0.002 s
% 4.04/1.21 % (3908932)Peak memory usage: 87 MB
% 4.04/1.21 % (3908932)Instructions burned: 1 (million)
% 4.04/1.21 % (3908935)dis-21_1_sil=8000:lcm=predicate:random_seed=4053498662: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)
% 4.04/1.21 % (3908934)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1364868809:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.04/1.21 % (3908935)Instruction limit reached!
% 4.04/1.21 % (3908935)------------------------------
% 4.04/1.21 % (3908935)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.04/1.21 % (3908935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/1.21 % (3908935)CaDiCaL version: 2.1.3
% 4.04/1.21 % (3908935)Termination reason: Instruction limit
% 4.04/1.21 % (3908935)Termination phase: Saturation
% 4.04/1.21 % (3908935)Time elapsed: 0.073 s
% 4.04/1.21 % (3908935)Peak memory usage: 90 MB
% 4.04/1.21 % (3908935)Instructions burned: 131 (million)
% 4.04/1.21 % (3908934)Instruction limit reached!
% 4.04/1.21 % (3908934)------------------------------
% 4.04/1.21 % (3908934)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.04/1.21 % (3908934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/1.21 % (3908934)CaDiCaL version: 2.1.3
% 4.04/1.21 % (3908934)Termination reason: Instruction limit
% 4.04/1.21 % (3908934)Termination phase: Saturation
% 4.04/1.21 % (3908934)Time elapsed: 0.081 s
% 4.04/1.21 % (3908934)Peak memory usage: 90 MB
% 4.04/1.21 % (3908934)Instructions burned: 141 (million)
% 4.04/1.21 % (3908933)------------------------------
% 4.04/1.21 % (3908933)------------------------------
% 4.04/1.21 % (3908945)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2733589544:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.04/1.21 % (3908945)Refutation not found, incomplete strategy
% 4.04/1.21 % (3908945)------------------------------
% 4.04/1.21 % (3908945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.04/1.21 % (3908945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/1.21 % (3908945)CaDiCaL version: 2.1.3
% 4.04/1.21 % (3908945)Termination reason: Refutation not found, incomplete strategy
% 4.04/1.21 % (3908945)Time elapsed: 0.002 s
% 4.04/1.21 % (3908945)Peak memory usage: 88 MB
% 5.26/1.48 % (3908945)Instructions burned: 5 (million)
% 5.26/1.48 % (3908943)lrs+10_1_sil=8000:sp=occurrence:random_seed=320927898:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.26/1.48 % (3908944)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1440611450:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.26/1.48 % (3908932)------------------------------
% 5.26/1.48 % (3908932)------------------------------
% 5.26/1.48 % (3908943)Refutation not found, incomplete strategy
% 5.26/1.48 % (3908943)------------------------------
% 5.26/1.48 % (3908943)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.26/1.48 % (3908943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.26/1.48 % (3908943)CaDiCaL version: 2.1.3
% 5.26/1.48 % (3908943)Termination reason: Refutation not found, incomplete strategy
% 5.26/1.48 % (3908943)Time elapsed: 0.002 s
% 5.26/1.48 % (3908943)Peak memory usage: 88 MB
% 5.26/1.48 % (3908943)Instructions burned: 2 (million)
% 5.26/1.48 % (3908944)Refutation not found, incomplete strategy
% 5.26/1.48 % (3908944)------------------------------
% 5.26/1.48 % (3908944)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.26/1.48 % (3908944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.26/1.48 % (3908944)CaDiCaL version: 2.1.3
% 5.26/1.48 % (3908944)Termination reason: Refutation not found, incomplete strategy
% 5.26/1.48 % (3908944)Time elapsed: 0.003 s
% 5.26/1.48 % (3908944)Peak memory usage: 88 MB
% 5.26/1.48 % (3908944)Instructions burned: 6 (million)
% 5.26/1.48 [W928 19:09:22.915407546 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.
% 5.26/1.48 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.26/1.48 [W928 19:09:22.915456413 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.
% 5.26/1.48 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.26/1.48 [W928 19:09:22.915495013 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.
% 5.26/1.48 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.26/1.48 [W928 19:09:22.915512933 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.
% 5.26/1.48 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.26/1.48 [W928 19:09:22.915537793 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.
% 5.26/1.48 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.26/1.48 [W928 19:09:22.915549487 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.
% 5.26/1.48 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.26/1.48 [W928 19:09:22.915576380 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.
% 5.26/1.48 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.26/1.48 [W928 19:09:22.915587830 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.
% 5.26/1.48 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.26/1.48 [W928 19:09:22.915613640 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.
% 7.44/1.90 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.44/1.90 [W928 19:09:22.915624981 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.
% 7.44/1.90 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.44/1.90 [W928 19:09:22.915656884 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.
% 7.44/1.90 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.44/1.90 [W928 19:09:22.915680568 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.
% 7.44/1.90 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.44/1.90 [W928 19:09:22.915693108 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.
% 7.44/1.90 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.44/1.90 [W928 19:09:22.915717078 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.
% 7.44/1.90 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.44/1.90 [W928 19:09:22.915754868 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.
% 7.44/1.90 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.44/1.90 [W928 19:09:22.915766888 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.
% 7.44/1.90 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.44/1.90 [W928 19:09:22.915796098 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.
% 7.44/1.90 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.44/1.90 [W928 19:09:22.915806632 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.
% 7.44/1.90 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.44/1.90 [W928 19:09:22.915831249 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.
% 7.44/1.90 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.44/1.90 [W928 19:09:22.915841335 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.
% 7.44/1.90 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.44/1.90 [W928 19:09:22.915865062 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.
% 7.44/1.90 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.44/1.90 [W928 19:09:22.915875046 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.
% 7.44/1.94 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.44/1.94 [W928 19:09:22.915899002 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.
% 7.44/1.94 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.44/1.94 [W928 19:09:22.915908989 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.
% 7.44/1.94 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.44/1.94 % (3908945)------------------------------
% 7.44/1.94 % (3908945)------------------------------
% 7.44/1.94 % (3908949)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=934333993:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 7.44/1.94 % (3908944)------------------------------
% 7.44/1.94 % (3908944)------------------------------
% 7.44/1.94 % (3908943)------------------------------
% 7.44/1.94 % (3908943)------------------------------
% 7.44/1.94 % (3908950)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3620534050:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 7.44/1.94 % (3908950)Refutation not found, incomplete strategy
% 7.44/1.94 % (3908950)------------------------------
% 7.44/1.94 % (3908950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/1.94 % (3908950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/1.94 % (3908950)CaDiCaL version: 2.1.3
% 7.44/1.94 % (3908950)Termination reason: Refutation not found, incomplete strategy
% 7.44/1.94 % (3908950)Time elapsed: 0.002 s
% 7.44/1.94 % (3908950)Peak memory usage: 88 MB
% 7.44/1.94 % (3908950)Instructions burned: 5 (million)
% 7.44/1.94 % (3908949)Instruction limit reached!
% 7.44/1.94 % (3908949)------------------------------
% 7.44/1.94 % (3908949)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/1.94 % (3908949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/1.94 % (3908949)CaDiCaL version: 2.1.3
% 7.44/1.94 % (3908949)Termination reason: Instruction limit
% 7.44/1.94 % (3908949)Termination phase: Saturation
% 7.44/1.94 % (3908949)Time elapsed: 0.115 s
% 7.44/1.94 % (3908949)Peak memory usage: 94 MB
% 7.44/1.94 % (3908949)Instructions burned: 248 (million)
% 7.44/1.94 % (3908931)Refutation not found, incomplete strategy
% 7.44/1.94 % (3908931)------------------------------
% 7.44/1.94 % (3908931)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/1.94 % (3908931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/1.94 % (3908931)CaDiCaL version: 2.1.3
% 7.44/1.94 % (3908931)Termination reason: Refutation not found, incomplete strategy
% 7.44/1.94 % (3908931)Time elapsed: 0.567 s
% 7.44/1.94 % (3908931)Peak memory usage: 125 MB
% 7.44/1.94 % (3908931)Instructions burned: 834 (million)
% 7.44/1.94 % (3908930)Refutation not found, incomplete strategy
% 7.44/1.94 % (3908930)------------------------------
% 7.44/1.94 % (3908930)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/1.94 % (3908930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/1.94 % (3908930)CaDiCaL version: 2.1.3
% 7.44/1.94 % (3908930)Termination reason: Refutation not found, incomplete strategy
% 7.44/1.94 % (3908930)Time elapsed: 0.584 s
% 7.44/1.94 % (3908930)Peak memory usage: 125 MB
% 7.44/1.94 % (3908930)Instructions burned: 836 (million)
% 7.44/1.94 % (3908952)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2085368705:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 7.44/1.94 % (3908953)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1402480548:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 7.44/1.94 % (3908953)Refutation not found, incomplete strategy
% 7.44/1.94 % (3908953)------------------------------
% 7.44/1.94 % (3908953)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/1.94 % (3908953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/1.94 % (3908953)CaDiCaL version: 2.1.3
% 7.44/1.94 % (3908953)Termination reason: Refutation not found, incomplete strategy
% 7.44/1.94 % (3908953)Time elapsed: 0.002 s
% 7.44/1.94 % (3908953)Peak memory usage: 88 MB
% 7.44/1.94 % (3908953)Instructions burned: 2 (million)
% 7.44/1.94 % (3908950)------------------------------
% 7.44/1.94 % (3908950)------------------------------
% 7.44/1.94 % (3908955)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2487637339:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 7.44/1.94 % (3908955)Instruction limit reached!
% 7.44/1.94 % (3908955)------------------------------
% 7.44/1.94 % (3908955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/1.94 % (3908955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/1.94 % (3908955)CaDiCaL version: 2.1.3
% 7.44/1.94 % (3908955)Termination reason: Instruction limit
% 7.44/1.94 % (3908955)Termination phase: Saturation
% 7.44/1.94 % (3908955)Time elapsed: 0.061 s
% 7.44/1.94 % (3908955)Peak memory usage: 89 MB
% 7.44/1.94 % (3908955)Instructions burned: 129 (million)
% 7.44/1.94 % (3908930)------------------------------
% 7.44/1.94 % (3908930)------------------------------
% 7.44/1.94 % (3908931)------------------------------
% 7.44/1.94 % (3908931)------------------------------
% 7.44/1.94 % (3908929)First to succeed.
% 7.44/1.94 % (3908929)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3908924"
% 7.44/1.94 % (3908958)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2249670120:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 7.44/1.94 % (3908958)Refutation not found, incomplete strategy
% 7.44/1.94 % (3908958)------------------------------
% 7.44/1.94 % (3908958)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/1.94 % (3908958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/1.94 % (3908958)CaDiCaL version: 2.1.3
% 7.44/1.94 % (3908958)Termination reason: Refutation not found, incomplete strategy
% 7.44/1.94 % (3908958)Time elapsed: 0.008 s
% 7.44/1.94 % (3908958)Peak memory usage: 88 MB
% 7.44/1.94 % (3908958)Instructions burned: 15 (million)
% 7.44/1.94 % (3908961)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3071826311:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 7.44/1.94 % (3908953)------------------------------
% 7.44/1.94 % (3908953)------------------------------
% 7.44/1.94 % (3908961)Refutation not found, incomplete strategy
% 7.44/1.94 % (3908961)------------------------------
% 7.44/1.94 % (3908961)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/1.94 % (3908961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/1.94 % (3908961)CaDiCaL version: 2.1.3
% 7.44/1.94 % (3908961)Termination reason: Refutation not found, incomplete strategy
% 7.44/1.94 % (3908961)Time elapsed: 0.001 s
% 7.44/1.94 % (3908961)Peak memory usage: 87 MB
% 7.44/1.94 % (3908961)Instructions burned: 1 (million)
% 7.44/1.94 % (3908960)lrs+10_1_sil=8000:sp=occurrence:random_seed=2430224906:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 7.44/1.94 % (3908960)Refutation not found, incomplete strategy
% 7.44/1.94 % (3908960)------------------------------
% 7.44/1.94 % (3908960)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/1.94 % (3908960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/1.94 % (3908960)CaDiCaL version: 2.1.3
% 7.44/1.94 % (3908960)Termination reason: Refutation not found, incomplete strategy
% 7.44/1.94 % (3908960)Time elapsed: 0.002 s
% 7.44/1.94 % (3908960)Peak memory usage: 88 MB
% 7.44/1.94 % (3908960)Instructions burned: 2 (million)
% 7.44/1.94 % (3908962)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=795211068:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 7.44/1.94 % (3908961)------------------------------
% 7.44/1.94 % (3908961)------------------------------
% 7.44/1.94 % (3908966)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3085387416:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 7.44/1.94 % (3908966)Refutation not found, incomplete strategy
% 7.44/1.94 % (3908966)------------------------------
% 7.44/1.94 % (3908966)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/1.94 % (3908966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/1.94 % (3908966)CaDiCaL version: 2.1.3
% 7.44/1.94 % (3908966)Termination reason: Refutation not found, incomplete strategy
% 7.44/1.94 % (3908966)Time elapsed: 0.002 s
% 7.44/1.94 % (3908966)Peak memory usage: 87 MB
% 7.44/1.94 % (3908966)Instructions burned: 1 (million)
% 7.44/1.94 % (3908958)------------------------------
% 7.44/1.94 % (3908958)------------------------------
% 7.44/1.94 % (3908929)Refutation found. Thanks to Tanya!
% 7.44/1.94 % SZS status Theorem for theBenchmark
% 7.44/1.94 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/2.03 % (3908929)------------------------------
% 0.19/2.03 % (3908929)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/2.03 % (3908929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/2.03 % (3908929)CaDiCaL version: 2.1.3
% 0.19/2.03 % (3908929)Termination reason: Refutation
% 0.19/2.03 % (3908929)Time elapsed: 0.841 s
% 0.19/2.03 % (3908929)Peak memory usage: 135 MB
% 0.19/2.03 % (3908929)Instructions burned: 1266 (million)
% 0.19/2.03 % (3908929)------------------------------
% 0.19/2.03 % (3908929)------------------------------
% 0.19/2.03 % (3908924)Success in time 1.272 s
% 0.19/2.03 % Vampire exiting
%------------------------------------------------------------------------------