%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : AGT024+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 : n019.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 09:06:37 AM UTC 2026
% Result : Theorem 7.53s 1.95s
% Output : Refutation 9.64s
% 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 : 142 ( 0 sgn 140 !; 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(f14,axiom,
! [X0] :
( ( accept_population(X0,atheist,n12)
& accept_population(X0,christian,n3)
& accept_population(X0,muslim,n0)
& accept_population(X0,native,n85)
& accept_population(X0,other,n0) )
<=> accept_city(X0,coastvillage) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_7) ).
fof(f16,axiom,
! [X0] :
( ( accept_population(X0,atheist,n75)
& accept_population(X0,christian,n24)
& accept_population(X0,muslim,n1)
& accept_population(X0,native,n0)
& accept_population(X0,other,n0) )
<=> accept_city(X0,towna) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_9) ).
fof(f19,axiom,
! [X0] :
( ( accept_population(X0,atheist,n78)
& accept_population(X0,christian,n20)
& accept_population(X0,muslim,n1)
& accept_population(X0,native,n0)
& accept_population(X0,other,n1) )
<=> accept_city(X0,cityb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_12) ).
fof(f31,axiom,
the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_11) ).
fof(f32,axiom,
any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_12) ).
fof(f117,axiom,
accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,coastvillage,n6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_97) ).
fof(f193,axiom,
accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_173) ).
fof(f294,axiom,
rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn24) ).
fof(f295,axiom,
rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn25) ).
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(f527,axiom,
rdn_non_zero_digit(rdnn(n2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit2) ).
fof(f532,axiom,
rdn_non_zero_digit(rdnn(n7)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit7) ).
fof(f539,axiom,
rdn_positive_less(rdnn(n4),rdnn(n5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less45) ).
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,n25),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_24) ).
fof(f557,negated_conjecture,
~ ? [X0] : ~ accept_population(X0,christian,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] : accept_population(X0,christian,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] : accept_population(X0,christian,n25),
inference(cnf_transformation,[],[f584]) ).
fof(f1243,plain,
rdn_non_zero(rdnn(n2)),
inference(resolution,[],[f1230,f1209]) ).
fof(f1245,plain,
( ~ accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization)
| ~ accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(resolution,[],[f713,f624]) ).
fof(f1247,definition,
( spl0_1
<=> accept_city(muslimcountrybhumanitarianorganization,towna) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f1249,plain,
( ~ accept_city(muslimcountrybhumanitarianorganization,towna)
| spl0_1 ),
inference(avatar_component_clause,[],[f1247]) ).
fof(f1251,definition,
( spl0_2
<=> accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f1254,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f1245,f1251,f1247]) ).
fof(f1256,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(f1270,plain,
rdn_non_zero(rdnn(n7)),
inference(resolution,[],[f1214,f1230]) ).
fof(f1273,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(f1275,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,[],[f1273,f693]) ).
fof(f1276,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,[],[f1275,f694]) ).
fof(f1278,plain,
! [X0] :
( ~ rdn_positive_less(rdnn(X0),rdnn(n7))
| rdn_positive_less(rdnn(X0),rdnn(n8)) ),
inference(resolution,[],[f1226,f1224]) ).
fof(f1284,plain,
! [X0] :
( ~ rdn_positive_less(rdnn(X0),rdnn(n6))
| rdn_positive_less(rdnn(X0),rdnn(n7)) ),
inference(resolution,[],[f1226,f1223]) ).
fof(f1289,plain,
rdn_positive_less(rdnn(n5),rdnn(n7)),
inference(resolution,[],[f1284,f1222]) ).
fof(f1290,plain,
rdn_positive_less(rdnn(n5),rdnn(n8)),
inference(resolution,[],[f1289,f1278]) ).
fof(f1304,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,f1256]) ).
fof(f1305,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,[],[f1304,f1243]) ).
fof(f1322,plain,
! [X0,X1] :
( accept_population(X0,atheist,X1)
| ~ less(X1,n78)
| ~ accept_city(X0,cityb) ),
inference(resolution,[],[f620,f696]) ).
fof(f1328,plain,
! [X0,X1] :
( accept_population(X0,christian,X1)
| ~ less(X1,n25) ),
inference(resolution,[],[f620,f1238]) ).
fof(f1341,plain,
! [X0] :
( ~ less(n24,n25)
| ~ accept_population(X0,atheist,n75)
| ~ accept_city(X0,coastvillage)
| accept_city(X0,towna)
| ~ accept_city(X0,cityb) ),
inference(resolution,[],[f1328,f1276]) ).
fof(f1343,definition,
( spl0_5
<=> ! [X0] :
( ~ accept_population(X0,atheist,n75)
| ~ accept_city(X0,cityb)
| accept_city(X0,towna)
| ~ accept_city(X0,coastvillage) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f1344,plain,
( ! [X0] :
( ~ accept_population(X0,atheist,n75)
| ~ accept_city(X0,cityb)
| accept_city(X0,towna)
| ~ accept_city(X0,coastvillage) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f1343]) ).
fof(f1346,definition,
( spl0_6
<=> less(n24,n25) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f1348,plain,
( ~ less(n24,n25)
| spl0_6 ),
inference(avatar_component_clause,[],[f1346]) ).
fof(f1349,plain,
( spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f1341,f1346,f1343]) ).
fof(f1546,plain,
accept_city(muslimcountrybhumanitarianorganization,cityb),
inference(resolution,[],[f875,f617]) ).
fof(f1558,plain,
accept_city(muslimcountrybhumanitarianorganization,coastvillage),
inference(resolution,[],[f799,f617]) ).
fof(f1561,plain,
( less(n24,n25)
| ~ rdn_positive_less(rdnn(n4),rdnn(n5)) ),
inference(resolution,[],[f976,f1305]) ).
fof(f1564,plain,
( ~ rdn_positive_less(rdnn(n4),rdnn(n5))
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f1561,f1348]) ).
fof(f1565,plain,
( $false
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f1564,f1221]) ).
fof(f1566,plain,
spl0_6,
inference(avatar_contradiction_clause,[],[f1565]) ).
fof(f1569,plain,
( ! [X0] :
( ~ accept_city(X0,cityb)
| accept_city(X0,towna)
| ~ accept_city(X0,coastvillage)
| ~ less(n75,n78)
| ~ accept_city(X0,cityb) )
| ~ spl0_5 ),
inference(resolution,[],[f1344,f1322]) ).
fof(f1573,plain,
( ! [X0] :
( ~ accept_city(X0,cityb)
| accept_city(X0,towna)
| ~ accept_city(X0,coastvillage)
| ~ less(n75,n78) )
| ~ spl0_5 ),
inference(duplicate_literal_removal,[],[f1569]) ).
fof(f1579,definition,
( spl0_32
<=> ! [X0] :
( ~ accept_city(X0,cityb)
| ~ accept_city(X0,coastvillage)
| accept_city(X0,towna) ) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f1580,plain,
( ! [X0] :
( ~ accept_city(X0,cityb)
| ~ accept_city(X0,coastvillage)
| accept_city(X0,towna) )
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f1579]) ).
fof(f1591,definition,
( spl0_35
<=> less(n75,n78) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f1593,plain,
( ~ less(n75,n78)
| spl0_35 ),
inference(avatar_component_clause,[],[f1591]) ).
fof(f1594,plain,
( ~ spl0_35
| spl0_32
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f1573,f1343,f1579,f1591]) ).
fof(f1608,plain,
accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization),
inference(resolution,[],[f714,f623]) ).
fof(f1609,plain,
spl0_2,
inference(avatar_split_clause,[],[f1608,f1251]) ).
fof(f1998,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(f2018,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,[],[f1998,f1228]) ).
fof(f2020,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,[],[f2018,f1270]) ).
fof(f2023,plain,
( less(n75,n78)
| ~ rdn_positive_less(rdnn(n5),rdnn(n8)) ),
inference(resolution,[],[f2020,f1027]) ).
fof(f2026,plain,
( ~ rdn_positive_less(rdnn(n5),rdnn(n8))
| spl0_35 ),
inference(forward_subsumption_resolution,[],[f2023,f1593]) ).
fof(f2036,plain,
( $false
| spl0_35 ),
inference(forward_subsumption_resolution,[],[f2026,f1290]) ).
fof(f2037,plain,
spl0_35,
inference(avatar_contradiction_clause,[],[f2036]) ).
fof(f2038,plain,
( ~ accept_city(muslimcountrybhumanitarianorganization,coastvillage)
| accept_city(muslimcountrybhumanitarianorganization,towna)
| ~ spl0_32 ),
inference(resolution,[],[f1580,f1546]) ).
fof(f2040,plain,
( accept_city(muslimcountrybhumanitarianorganization,towna)
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f2038,f1558]) ).
fof(f2041,plain,
( $false
| spl0_1
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f2040,f1249]) ).
fof(f2042,plain,
( spl0_1
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f2041]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f1254]) ).
cnf(s3,plain,
( spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f1349]) ).
cnf(s19,plain,
spl0_6,
inference(sat_conversion,[],[f1566]) ).
cnf(s22,plain,
( ~ spl0_5
| spl0_32
| ~ spl0_35 ),
inference(sat_conversion,[],[f1594]) ).
cnf(s24,plain,
spl0_2,
inference(sat_conversion,[],[f1609]) ).
cnf(s43,plain,
spl0_35,
inference(sat_conversion,[],[f2037]) ).
cnf(s44,plain,
( spl0_1
| ~ spl0_32 ),
inference(sat_conversion,[],[f2042]) ).
cnf(s48,plain,
( ~ spl0_5
| spl0_32 ),
inference(rat,[],[s22,s43]) ).
cnf(s50,plain,
spl0_5,
inference(rat,[],[s3,s19]) ).
cnf(s51,plain,
spl0_32,
inference(rat,[],[s48,s50]) ).
cnf(s52,plain,
spl0_1,
inference(rat,[],[s44,s51]) ).
cnf(s54,plain,
$false,
inference(rat,[],[s1,s24,s52]) ).
fof(f2043,plain,
$false,
inference(avatar_sat_refutation,[],[s54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT024+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n019.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 19:14:03 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.92/1.24 % (133340)Detected formulas, will run a generic FOF schedule.
% 3.92/1.24 % (133347)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=1382058311:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.92/1.24 % (133351)dis-21_1_sil=8000:lcm=predicate:random_seed=1853950800:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.92/1.24 % (133345)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=3276745664:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.92/1.24 % (133348)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=496706875:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.92/1.24 % (133350)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3785711787:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.92/1.24 % (133349)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=399269818:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.92/1.24 % (133346)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=118911916:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.92/1.24 % (133349)Refutation not found, incomplete strategy
% 3.92/1.24 % (133349)------------------------------
% 3.92/1.24 % (133349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/1.24 % (133349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/1.24 % (133349)CaDiCaL version: 2.1.3
% 3.92/1.24 % (133349)Termination reason: Refutation not found, incomplete strategy
% 3.92/1.24 % (133349)Time elapsed: 0.002 s
% 3.92/1.24 % (133348)Refutation not found, incomplete strategy
% 3.92/1.24 % (133348)------------------------------
% 3.92/1.24 % (133348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/1.24 % (133349)Peak memory usage: 86 MB
% 3.92/1.24 % (133349)Instructions burned: 2 (million)
% 3.92/1.24 % (133348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/1.24 % (133348)CaDiCaL version: 2.1.3
% 3.92/1.24 % (133348)Termination reason: Refutation not found, incomplete strategy
% 3.92/1.24 % (133348)Time elapsed: 0.002 s
% 3.92/1.24 % (133348)Peak memory usage: 87 MB
% 3.92/1.24 % (133348)Instructions burned: 1 (million)
% 3.92/1.24 % (133351)Instruction limit reached!
% 3.92/1.24 % (133351)------------------------------
% 3.92/1.24 % (133351)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/1.24 % (133351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/1.24 % (133351)CaDiCaL version: 2.1.3
% 3.92/1.24 % (133351)Termination reason: Instruction limit
% 3.92/1.24 % (133351)Termination phase: Saturation
% 3.92/1.24 % (133351)Time elapsed: 0.070 s
% 3.92/1.24 % (133351)Peak memory usage: 90 MB
% 3.92/1.24 % (133351)Instructions burned: 129 (million)
% 3.92/1.24 % (133350)Instruction limit reached!
% 3.92/1.24 % (133350)------------------------------
% 3.92/1.24 % (133350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/1.24 % (133350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/1.24 % (133350)CaDiCaL version: 2.1.3
% 3.92/1.24 % (133350)Termination reason: Instruction limit
% 3.92/1.24 % (133350)Termination phase: Saturation
% 3.92/1.24 % (133350)Time elapsed: 0.098 s
% 3.92/1.24 % (133350)Peak memory usage: 90 MB
% 3.92/1.24 % (133350)Instructions burned: 140 (million)
% 3.92/1.24 [W928 19:14:04.205598377 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.92/1.24 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.92/1.24 [W928 19:14:04.205628140 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.92/1.24 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.92/1.24 [W928 19:14:04.205649740 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.
% 5.28/1.53 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.28/1.53 [W928 19:14:04.205655867 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.
% 5.28/1.53 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.28/1.53 [W928 19:14:04.205669099 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.
% 5.28/1.53 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.28/1.53 [W928 19:14:04.205674844 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.
% 5.28/1.53 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.28/1.53 [W928 19:14:04.205687604 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.
% 5.28/1.53 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.28/1.53 [W928 19:14:04.205693154 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.
% 5.28/1.53 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.28/1.53 [W928 19:14:04.205705374 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.
% 5.28/1.53 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.28/1.53 [W928 19:14:04.205710637 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.
% 5.28/1.53 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.28/1.53 [W928 19:14:04.205723633 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.
% 5.28/1.53 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.28/1.53 [W928 19:14:04.205729184 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.
% 5.28/1.53 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.28/1.53 % (133359)lrs+10_1_sil=8000:sp=occurrence:random_seed=2954714343:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.28/1.53 % (133359)Refutation not found, incomplete strategy
% 5.28/1.53 % (133359)------------------------------
% 5.28/1.53 % (133359)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.28/1.53 % (133359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/1.53 % (133359)CaDiCaL version: 2.1.3
% 5.28/1.53 % (133359)Termination reason: Refutation not found, incomplete strategy
% 5.28/1.53 % (133359)Time elapsed: 0.003 s
% 5.28/1.53 % (133359)Peak memory usage: 88 MB
% 5.28/1.53 % (133359)Instructions burned: 2 (million)
% 5.28/1.53 % (133349)------------------------------
% 5.28/1.53 % (133349)------------------------------
% 5.28/1.53 % (133348)------------------------------
% 5.28/1.53 % (133348)------------------------------
% 5.28/1.53 % (133360)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4217074568:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.28/1.53 % (133360)Refutation not found, incomplete strategy
% 5.28/1.53 % (133360)------------------------------
% 5.28/1.53 % (133360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.53/1.95 % (133360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.53/1.95 % (133360)CaDiCaL version: 2.1.3
% 7.53/1.95 % (133360)Termination reason: Refutation not found, incomplete strategy
% 7.53/1.95 % (133360)Time elapsed: 0.004 s
% 7.53/1.95 % (133360)Peak memory usage: 88 MB
% 7.53/1.95 % (133360)Instructions burned: 6 (million)
% 7.53/1.95 % (133347)Refutation not found, incomplete strategy
% 7.53/1.95 % (133347)------------------------------
% 7.53/1.95 % (133347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.53/1.95 % (133347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.53/1.95 % (133347)CaDiCaL version: 2.1.3
% 7.53/1.95 % (133347)Termination reason: Refutation not found, incomplete strategy
% 7.53/1.95 % (133347)Time elapsed: 0.326 s
% 7.53/1.95 % (133347)Peak memory usage: 127 MB
% 7.53/1.95 % (133347)Instructions burned: 832 (million)
% 7.53/1.95 [W928 19:14:04.415922091 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.
% 7.53/1.95 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.53/1.95 [W928 19:14:04.415957654 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.
% 7.53/1.95 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.53/1.95 [W928 19:14:04.415997071 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.
% 7.53/1.95 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.53/1.95 [W928 19:14:04.416023348 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.
% 7.53/1.95 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.53/1.95 [W928 19:14:04.416052211 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.
% 7.53/1.95 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.53/1.95 [W928 19:14:04.416064411 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.
% 7.53/1.95 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.53/1.95 [W928 19:14:04.416091608 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.
% 7.53/1.95 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.53/1.95 [W928 19:14:04.416104081 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.
% 7.53/1.95 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.53/1.95 [W928 19:14:04.416129724 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.
% 7.53/1.95 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.53/1.95 [W928 19:14:04.416141988 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.
% 7.53/1.95 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.53/1.95 [W928 19:14:04.416167848 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.
% 7.53/1.95 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.53/1.95 [W928 19:14:04.416180268 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.
% 7.53/1.95 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.53/1.95 % (133363)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=609315789:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 7.53/1.95 % (133362)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2996561084:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 7.53/1.95 % (133362)Refutation not found, incomplete strategy
% 7.53/1.95 % (133362)------------------------------
% 7.53/1.95 % (133362)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.53/1.95 % (133362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.53/1.95 % (133362)CaDiCaL version: 2.1.3
% 7.53/1.95 % (133362)Termination reason: Refutation not found, incomplete strategy
% 7.53/1.95 % (133362)Time elapsed: 0.004 s
% 7.53/1.95 % (133362)Peak memory usage: 88 MB
% 7.53/1.95 % (133362)Instructions burned: 5 (million)
% 7.53/1.95 % (133347)------------------------------
% 7.53/1.95 % (133347)------------------------------
% 7.53/1.95 % (133359)------------------------------
% 7.53/1.95 % (133359)------------------------------
% 7.53/1.95 % (133360)------------------------------
% 7.53/1.95 % (133360)------------------------------
% 7.53/1.95 % (133363)Instruction limit reached!
% 7.53/1.95 % (133363)------------------------------
% 7.53/1.95 % (133363)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.53/1.95 % (133363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.53/1.95 % (133363)CaDiCaL version: 2.1.3
% 7.53/1.95 % (133363)Termination reason: Instruction limit
% 7.53/1.95 % (133363)Termination phase: Saturation
% 7.53/1.95 % (133363)Time elapsed: 0.116 s
% 7.53/1.95 % (133363)Peak memory usage: 94 MB
% 7.53/1.95 % (133363)Instructions burned: 250 (million)
% 7.53/1.95 % (133346)Refutation not found, incomplete strategy
% 7.53/1.95 % (133346)------------------------------
% 7.53/1.95 % (133346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.53/1.95 % (133346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.53/1.95 % (133346)CaDiCaL version: 2.1.3
% 7.53/1.95 % (133346)Termination reason: Refutation not found, incomplete strategy
% 7.53/1.95 % (133346)Time elapsed: 0.568 s
% 7.53/1.95 % (133346)Peak memory usage: 127 MB
% 7.53/1.95 % (133346)Instructions burned: 836 (million)
% 7.53/1.95 % (133367)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1159771541:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 7.53/1.95 % (133367)Refutation not found, incomplete strategy
% 7.53/1.95 % (133367)------------------------------
% 7.53/1.95 % (133367)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.53/1.95 % (133367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.53/1.95 % (133367)CaDiCaL version: 2.1.3
% 7.53/1.95 % (133367)Termination reason: Refutation not found, incomplete strategy
% 7.53/1.95 % (133367)Time elapsed: 0.002 s
% 7.53/1.95 % (133367)Peak memory usage: 88 MB
% 7.53/1.95 % (133367)Instructions burned: 5 (million)
% 7.53/1.95 % (133368)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=825991599:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 7.53/1.95 % (133362)------------------------------
% 7.53/1.95 % (133362)------------------------------
% 7.53/1.95 % (133369)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=209483397:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 7.53/1.95 % (133369)Refutation not found, incomplete strategy
% 7.53/1.95 % (133369)------------------------------
% 7.53/1.95 % (133369)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.53/1.95 % (133369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.53/1.95 % (133369)CaDiCaL version: 2.1.3
% 7.53/1.95 % (133369)Termination reason: Refutation not found, incomplete strategy
% 7.53/1.95 % (133369)Time elapsed: 0.003 s
% 7.53/1.95 % (133369)Peak memory usage: 88 MB
% 7.53/1.95 % (133369)Instructions burned: 2 (million)
% 7.53/1.95 % (133370)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2614857304:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 7.53/1.95 % (133367)------------------------------
% 7.53/1.95 % (133367)------------------------------
% 7.53/1.95 % (133370)Instruction limit reached!
% 7.53/1.95 % (133370)------------------------------
% 7.53/1.95 % (133370)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.53/1.95 % (133370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.53/1.95 % (133370)CaDiCaL version: 2.1.3
% 7.53/1.95 % (133370)Termination reason: Instruction limit
% 7.53/1.95 % (133370)Termination phase: Saturation
% 7.53/1.95 % (133370)Time elapsed: 0.060 s
% 7.53/1.95 % (133370)Peak memory usage: 89 MB
% 7.53/1.95 % (133370)Instructions burned: 129 (million)
% 7.53/1.95 % (133346)------------------------------
% 7.53/1.95 % (133346)------------------------------
% 7.53/1.95 % (133345)First to succeed.
% 7.53/1.95 % (133373)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1094606672:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 7.53/1.95 % (133345)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-133340"
% 7.53/1.95 % (133373)Refutation not found, incomplete strategy
% 7.53/1.95 % (133373)------------------------------
% 7.53/1.95 % (133373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.53/1.95 % (133373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.53/1.95 % (133373)CaDiCaL version: 2.1.3
% 7.53/1.95 % (133373)Termination reason: Refutation not found, incomplete strategy
% 7.53/1.95 % (133373)Time elapsed: 0.008 s
% 7.53/1.95 % (133373)Peak memory usage: 88 MB
% 7.53/1.95 % (133373)Instructions burned: 15 (million)
% 7.53/1.95 % (133376)lrs+10_1_sil=8000:sp=occurrence:random_seed=560918235:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 7.53/1.95 % (133376)Refutation not found, incomplete strategy
% 7.53/1.95 % (133376)------------------------------
% 7.53/1.95 % (133376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.53/1.95 % (133376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.53/1.95 % (133376)CaDiCaL version: 2.1.3
% 7.53/1.95 % (133376)Termination reason: Refutation not found, incomplete strategy
% 7.53/1.95 % (133376)Time elapsed: 0.001 s
% 7.53/1.95 % (133376)Peak memory usage: 88 MB
% 7.53/1.95 % (133376)Instructions burned: 2 (million)
% 7.53/1.95 % (133369)------------------------------
% 7.53/1.95 % (133369)------------------------------
% 7.53/1.95 % (133377)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1773332342:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 7.53/1.95 % (133377)Refutation not found, incomplete strategy
% 7.53/1.95 % (133377)------------------------------
% 7.53/1.95 % (133377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.53/1.95 % (133377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.53/1.95 % (133377)CaDiCaL version: 2.1.3
% 7.53/1.95 % (133377)Termination reason: Refutation not found, incomplete strategy
% 7.53/1.95 % (133377)Time elapsed: 0.002 s
% 7.53/1.95 % (133377)Peak memory usage: 87 MB
% 7.53/1.95 % (133377)Instructions burned: 1 (million)
% 7.53/1.95 % (133379)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3558951914:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 7.53/1.95 % (133376)------------------------------
% 7.53/1.95 % (133376)------------------------------
% 7.53/1.95 % (133373)------------------------------
% 7.53/1.95 % (133373)------------------------------
% 7.53/1.95 % (133382)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3394203627:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 7.53/1.95 % (133345)Refutation found. Thanks to Tanya!
% 7.53/1.95 % SZS status Theorem for theBenchmark
% 7.53/1.95 % SZS output start Proof for theBenchmark
% See solution above
% 9.64/2.15 % (133345)------------------------------
% 9.64/2.15 % (133345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.64/2.15 % (133345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.64/2.15 % (133345)CaDiCaL version: 2.1.3
% 9.64/2.15 % (133345)Termination reason: Refutation
% 9.64/2.15 % (133345)Time elapsed: 0.831 s
% 9.64/2.15 % (133345)Peak memory usage: 136 MB
% 9.64/2.15 % (133345)Instructions burned: 1248 (million)
% 9.64/2.15 % (133345)------------------------------
% 9.64/2.15 % (133345)------------------------------
% 9.64/2.15 % (133340)Success in time 1.283 s
% 9.64/2.15 % Vampire exiting
%------------------------------------------------------------------------------