%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : AGT022+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 : n016.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 6.24s 1.69s
% Output : Refutation 7.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 34
% Syntax : Number of formulae : 150 ( 52 unt; 7 def)
% Number of atoms : 418 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 469 ( 201 ~; 194 |; 55 &)
% ( 11 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 20 ( 19 usr; 8 prp; 0-4 aty)
% Number of functors : 28 ( 28 usr; 25 con; 0-2 aty)
% Number of variables : 165 ( 0 sgn 161 !; 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/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(f20,axiom,
! [X0] :
( ( accept_population(X0,atheist,n30)
& accept_population(X0,christian,n0)
& accept_population(X0,muslim,n65)
& accept_population(X0,native,n0)
& accept_population(X0,other,n5) )
<=> accept_city(X0,townc) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_13) ).
fof(f47,axiom,
accept_team(countryamedicalorganization,countryacivilorganization,towna,n6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_27) ).
fof(f57,axiom,
the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_37) ).
fof(f58,axiom,
any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_38) ).
fof(f146,axiom,
accept_team(countryamedicalorganization,countryahumanitarianorganization,townc,n6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_126) ).
fof(f270,axiom,
rdn_translate(n0,rdn_pos(rdnn(n0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn0) ).
fof(f273,axiom,
rdn_translate(n3,rdn_pos(rdnn(n3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn3) ).
fof(f282,axiom,
rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn12) ).
fof(f294,axiom,
rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn24) ).
fof(f300,axiom,
rdn_translate(n30,rdn_pos(rdn(rdnn(n0),rdnn(n3)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn30) ).
fof(f335,axiom,
rdn_translate(n65,rdn_pos(rdn(rdnn(n5),rdnn(n6)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn65) ).
fof(f527,axiom,
rdn_non_zero_digit(rdnn(n2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit2) ).
fof(f531,axiom,
rdn_non_zero_digit(rdnn(n6)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit6) ).
fof(f536,axiom,
rdn_positive_less(rdnn(n1),rdnn(n2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less12) ).
fof(f537,axiom,
rdn_positive_less(rdnn(n2),rdnn(n3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less23) ).
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(f545,axiom,
! [X0,X1,X2,X3] :
( rdn_positive_less(X1,X3)
=> rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less_multi_digit_high) ).
fof(f547,axiom,
! [X0,X1,X2] :
( rdn_non_zero(X2)
=> rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_extra_digits_positive_less) ).
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,X1] : ~ accept_population(X0,native,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_22) ).
fof(f557,negated_conjecture,
~ ? [X0,X1] : ~ accept_population(X0,native,X1),
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(f572,plain,
! [X0,X1,X2,X3] :
( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3))
| ~ rdn_positive_less(X1,X3) ),
inference(ennf_transformation,[],[f545]) ).
fof(f575,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2))
| ~ rdn_non_zero(X2) ),
inference(ennf_transformation,[],[f547]) ).
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,native,X1),
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(f611,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n30)
& accept_population(X0,christian,n0)
& accept_population(X0,muslim,n65)
& accept_population(X0,native,n0)
& accept_population(X0,other,n5) )
| ~ accept_city(X0,townc) )
& ( accept_city(X0,townc)
| ~ accept_population(X0,atheist,n30)
| ~ accept_population(X0,christian,n0)
| ~ accept_population(X0,muslim,n65)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,other,n5) ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f612,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n30)
& accept_population(X0,christian,n0)
& accept_population(X0,muslim,n65)
& accept_population(X0,native,n0)
& accept_population(X0,other,n5) )
| ~ accept_city(X0,townc) )
& ( accept_city(X0,townc)
| ~ accept_population(X0,atheist,n30)
| ~ accept_population(X0,christian,n0)
| ~ accept_population(X0,muslim,n65)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,other,n5) ) ),
inference(flattening,[],[f611]) ).
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(f661,plain,
! [X0] :
( 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(cnf_transformation,[],[f600]) ).
fof(f674,plain,
! [X0] :
( accept_population(X0,other,n0)
| ~ accept_city(X0,towna) ),
inference(cnf_transformation,[],[f604]) ).
fof(f677,plain,
! [X0] :
( accept_population(X0,christian,n24)
| ~ accept_city(X0,towna) ),
inference(cnf_transformation,[],[f604]) ).
fof(f700,plain,
! [X0] :
( accept_population(X0,muslim,n65)
| ~ accept_city(X0,townc) ),
inference(cnf_transformation,[],[f612]) ).
fof(f702,plain,
! [X0] :
( accept_population(X0,atheist,n30)
| ~ accept_city(X0,townc) ),
inference(cnf_transformation,[],[f612]) ).
fof(f729,plain,
accept_team(countryamedicalorganization,countryacivilorganization,towna,n6),
inference(cnf_transformation,[],[f47]) ).
fof(f739,plain,
the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
inference(cnf_transformation,[],[f57]) ).
fof(f740,plain,
any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
inference(cnf_transformation,[],[f58]) ).
fof(f828,plain,
accept_team(countryamedicalorganization,countryahumanitarianorganization,townc,n6),
inference(cnf_transformation,[],[f146]) ).
fof(f952,plain,
rdn_translate(n0,rdn_pos(rdnn(n0))),
inference(cnf_transformation,[],[f270]) ).
fof(f955,plain,
rdn_translate(n3,rdn_pos(rdnn(n3))),
inference(cnf_transformation,[],[f273]) ).
fof(f964,plain,
rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
inference(cnf_transformation,[],[f282]) ).
fof(f976,plain,
rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
inference(cnf_transformation,[],[f294]) ).
fof(f982,plain,
rdn_translate(n30,rdn_pos(rdn(rdnn(n0),rdnn(n3)))),
inference(cnf_transformation,[],[f300]) ).
fof(f1017,plain,
rdn_translate(n65,rdn_pos(rdn(rdnn(n5),rdnn(n6)))),
inference(cnf_transformation,[],[f335]) ).
fof(f1209,plain,
rdn_non_zero_digit(rdnn(n2)),
inference(cnf_transformation,[],[f527]) ).
fof(f1213,plain,
rdn_non_zero_digit(rdnn(n6)),
inference(cnf_transformation,[],[f531]) ).
fof(f1218,plain,
rdn_positive_less(rdnn(n1),rdnn(n2)),
inference(cnf_transformation,[],[f536]) ).
fof(f1219,plain,
rdn_positive_less(rdnn(n2),rdnn(n3)),
inference(cnf_transformation,[],[f537]) ).
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(f1227,plain,
! [X2,X3,X0,X1] :
( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3))
| ~ rdn_positive_less(X1,X3) ),
inference(cnf_transformation,[],[f572]) ).
fof(f1229,plain,
! [X2,X0,X1] :
( rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2))
| ~ rdn_non_zero(X2) ),
inference(cnf_transformation,[],[f575]) ).
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,native,X1),
inference(cnf_transformation,[],[f584]) ).
fof(f1246,plain,
! [X0] :
( ~ accept_population(X0,other,n0)
| ~ accept_population(X0,atheist,n12)
| ~ accept_population(X0,christian,n3)
| ~ accept_population(X0,muslim,n0)
| accept_city(X0,coastvillage) ),
inference(forward_subsumption_resolution,[],[f661,f1238]) ).
fof(f1264,plain,
( ~ accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization)
| ~ accept_city(countryamedicalorganization,coastvillage) ),
inference(resolution,[],[f739,f624]) ).
fof(f1266,definition,
( spl0_3
<=> accept_city(countryamedicalorganization,coastvillage) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f1268,plain,
( ~ accept_city(countryamedicalorganization,coastvillage)
| spl0_3 ),
inference(avatar_component_clause,[],[f1266]) ).
fof(f1270,definition,
( spl0_4
<=> accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f1273,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f1264,f1270,f1266]) ).
fof(f1279,plain,
accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization),
inference(resolution,[],[f740,f623]) ).
fof(f1280,plain,
spl0_4,
inference(avatar_split_clause,[],[f1279,f1270]) ).
fof(f1281,plain,
rdn_non_zero(rdnn(n2)),
inference(resolution,[],[f1230,f1209]) ).
fof(f1288,plain,
! [X0] :
( ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,atheist,n12)
| ~ accept_population(X0,christian,n3)
| ~ accept_city(X0,towna)
| accept_city(X0,coastvillage) ),
inference(resolution,[],[f674,f1246]) ).
fof(f1308,plain,
! [X0] :
( ~ rdn_positive_less(rdnn(X0),rdnn(n2))
| rdn_positive_less(rdnn(X0),rdnn(n3)) ),
inference(resolution,[],[f1226,f1219]) ).
fof(f1311,plain,
rdn_positive_less(rdnn(n1),rdnn(n3)),
inference(resolution,[],[f1308,f1218]) ).
fof(f1352,plain,
accept_city(countryamedicalorganization,townc),
inference(resolution,[],[f828,f617]) ).
fof(f1361,plain,
accept_city(countryamedicalorganization,towna),
inference(resolution,[],[f729,f617]) ).
fof(f1367,plain,
! [X0,X1] :
( accept_population(X0,atheist,X1)
| ~ less(X1,n30)
| ~ accept_city(X0,townc) ),
inference(resolution,[],[f620,f702]) ).
fof(f1374,plain,
! [X0,X1] :
( accept_population(X0,christian,X1)
| ~ less(X1,n24)
| ~ accept_city(X0,towna) ),
inference(resolution,[],[f620,f677]) ).
fof(f1375,plain,
! [X0,X1] :
( accept_population(X0,muslim,X1)
| ~ less(X1,n65)
| ~ accept_city(X0,townc) ),
inference(resolution,[],[f620,f700]) ).
fof(f1454,plain,
! [X0] :
( ~ less(n0,n65)
| ~ accept_city(X0,townc)
| ~ accept_population(X0,atheist,n12)
| ~ accept_population(X0,christian,n3)
| ~ accept_city(X0,towna)
| accept_city(X0,coastvillage) ),
inference(resolution,[],[f1375,f1288]) ).
fof(f1457,definition,
( spl0_15
<=> ! [X0] :
( ~ accept_city(X0,townc)
| accept_city(X0,coastvillage)
| ~ accept_city(X0,towna)
| ~ accept_population(X0,christian,n3)
| ~ accept_population(X0,atheist,n12) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f1458,plain,
( ! [X0] :
( ~ accept_population(X0,christian,n3)
| accept_city(X0,coastvillage)
| ~ accept_city(X0,towna)
| ~ accept_city(X0,townc)
| ~ accept_population(X0,atheist,n12) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f1457]) ).
fof(f1460,definition,
( spl0_16
<=> less(n0,n65) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f1462,plain,
( ~ less(n0,n65)
| spl0_16 ),
inference(avatar_component_clause,[],[f1460]) ).
fof(f1463,plain,
( spl0_15
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f1454,f1460,f1457]) ).
fof(f1533,plain,
rdn_non_zero(rdnn(n6)),
inference(resolution,[],[f1213,f1230]) ).
fof(f1547,plain,
! [X0,X1] :
( ~ rdn_positive_less(X1,rdn(rdnn(n4),rdnn(n2)))
| less(X0,n24)
| ~ rdn_translate(X0,rdn_pos(X1)) ),
inference(resolution,[],[f976,f1232]) ).
fof(f1548,plain,
! [X0,X1] :
( less(X0,n24)
| ~ rdn_translate(X0,rdn_pos(rdnn(X1)))
| ~ rdn_non_zero(rdnn(n2)) ),
inference(resolution,[],[f1547,f1229]) ).
fof(f1552,plain,
! [X0,X1] :
( ~ rdn_translate(X0,rdn_pos(rdnn(X1)))
| less(X0,n24) ),
inference(forward_subsumption_resolution,[],[f1548,f1281]) ).
fof(f1648,plain,
less(n3,n24),
inference(resolution,[],[f955,f1552]) ).
fof(f1820,plain,
! [X0,X1] :
( ~ rdn_positive_less(X1,rdn(rdnn(n0),rdnn(n3)))
| less(X0,n30)
| ~ rdn_translate(X0,rdn_pos(X1)) ),
inference(resolution,[],[f982,f1232]) ).
fof(f1832,plain,
! [X2,X0,X1] :
( ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),X2)))
| less(X0,n30)
| ~ rdn_positive_less(X2,rdnn(n3)) ),
inference(resolution,[],[f1820,f1227]) ).
fof(f1972,plain,
! [X0,X1] :
( ~ rdn_positive_less(X1,rdn(rdnn(n5),rdnn(n6)))
| less(X0,n65)
| ~ rdn_translate(X0,rdn_pos(X1)) ),
inference(resolution,[],[f1017,f1232]) ).
fof(f1997,plain,
! [X0,X1] :
( less(X0,n65)
| ~ rdn_translate(X0,rdn_pos(rdnn(X1)))
| ~ rdn_non_zero(rdnn(n6)) ),
inference(resolution,[],[f1972,f1229]) ).
fof(f2001,plain,
! [X0,X1] :
( ~ rdn_translate(X0,rdn_pos(rdnn(X1)))
| less(X0,n65) ),
inference(forward_subsumption_resolution,[],[f1997,f1533]) ).
fof(f2007,plain,
less(n0,n65),
inference(resolution,[],[f2001,f952]) ).
fof(f2009,plain,
( $false
| spl0_16 ),
inference(forward_subsumption_resolution,[],[f2007,f1462]) ).
fof(f2010,plain,
spl0_16,
inference(avatar_contradiction_clause,[],[f2009]) ).
fof(f2023,plain,
( ! [X0] :
( accept_city(X0,coastvillage)
| ~ accept_city(X0,towna)
| ~ accept_city(X0,townc)
| ~ accept_population(X0,atheist,n12)
| ~ less(n3,n24)
| ~ accept_city(X0,towna) )
| ~ spl0_15 ),
inference(resolution,[],[f1458,f1374]) ).
fof(f2025,plain,
( ! [X0] :
( accept_city(X0,coastvillage)
| ~ accept_city(X0,towna)
| ~ accept_city(X0,townc)
| ~ accept_population(X0,atheist,n12)
| ~ less(n3,n24) )
| ~ spl0_15 ),
inference(duplicate_literal_removal,[],[f2023]) ).
fof(f2027,plain,
( ! [X0] :
( accept_city(X0,coastvillage)
| ~ accept_city(X0,towna)
| ~ accept_city(X0,townc)
| ~ accept_population(X0,atheist,n12) )
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f2025,f1648]) ).
fof(f2033,definition,
( spl0_62
<=> ! [X0] :
( accept_city(X0,coastvillage)
| ~ accept_population(X0,atheist,n12)
| ~ accept_city(X0,townc)
| ~ accept_city(X0,towna) ) ),
introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).
fof(f2034,plain,
( ! [X0] :
( ~ accept_population(X0,atheist,n12)
| accept_city(X0,coastvillage)
| ~ accept_city(X0,townc)
| ~ accept_city(X0,towna) )
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f2033]) ).
fof(f2037,plain,
( spl0_62
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f2027,f1457,f2033]) ).
fof(f2040,plain,
( ! [X0] :
( accept_city(X0,coastvillage)
| ~ accept_city(X0,townc)
| ~ accept_city(X0,towna)
| ~ less(n12,n30)
| ~ accept_city(X0,townc) )
| ~ spl0_62 ),
inference(resolution,[],[f2034,f1367]) ).
fof(f2044,plain,
( ! [X0] :
( accept_city(X0,coastvillage)
| ~ accept_city(X0,townc)
| ~ accept_city(X0,towna)
| ~ less(n12,n30) )
| ~ spl0_62 ),
inference(duplicate_literal_removal,[],[f2040]) ).
fof(f2050,definition,
( spl0_64
<=> ! [X0] :
( accept_city(X0,coastvillage)
| ~ accept_city(X0,towna)
| ~ accept_city(X0,townc) ) ),
introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).
fof(f2051,plain,
( ! [X0] :
( ~ accept_city(X0,townc)
| ~ accept_city(X0,towna)
| accept_city(X0,coastvillage) )
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f2050]) ).
fof(f2054,definition,
( spl0_65
<=> less(n12,n30) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
fof(f2056,plain,
( ~ less(n12,n30)
| spl0_65 ),
inference(avatar_component_clause,[],[f2054]) ).
fof(f2057,plain,
( ~ spl0_65
| spl0_64
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f2044,f2033,f2050,f2054]) ).
fof(f2783,plain,
( less(n12,n30)
| ~ rdn_positive_less(rdnn(n1),rdnn(n3)) ),
inference(resolution,[],[f964,f1832]) ).
fof(f2794,plain,
( ~ rdn_positive_less(rdnn(n1),rdnn(n3))
| spl0_65 ),
inference(forward_subsumption_resolution,[],[f2783,f2056]) ).
fof(f2811,plain,
( $false
| spl0_65 ),
inference(forward_subsumption_resolution,[],[f2794,f1311]) ).
fof(f2812,plain,
spl0_65,
inference(avatar_contradiction_clause,[],[f2811]) ).
fof(f2814,plain,
( ~ accept_city(countryamedicalorganization,towna)
| accept_city(countryamedicalorganization,coastvillage)
| ~ spl0_64 ),
inference(resolution,[],[f2051,f1352]) ).
fof(f2815,plain,
( accept_city(countryamedicalorganization,coastvillage)
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[],[f2814,f1361]) ).
fof(f2816,plain,
( $false
| spl0_3
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[],[f2815,f1268]) ).
fof(f2817,plain,
( spl0_3
| ~ spl0_64 ),
inference(avatar_contradiction_clause,[],[f2816]) ).
cnf(s2,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f1273]) ).
cnf(s3,plain,
spl0_4,
inference(sat_conversion,[],[f1280]) ).
cnf(s10,plain,
( spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f1463]) ).
cnf(s40,plain,
spl0_16,
inference(sat_conversion,[],[f2010]) ).
cnf(s43,plain,
( ~ spl0_15
| spl0_62 ),
inference(sat_conversion,[],[f2037]) ).
cnf(s45,plain,
( ~ spl0_62
| spl0_64
| ~ spl0_65 ),
inference(sat_conversion,[],[f2057]) ).
cnf(s97,plain,
spl0_65,
inference(sat_conversion,[],[f2812]) ).
cnf(s98,plain,
( spl0_3
| ~ spl0_64 ),
inference(sat_conversion,[],[f2817]) ).
cnf(s99,plain,
( ~ spl0_62
| spl0_64 ),
inference(rat,[],[s45,s97]) ).
cnf(s103,plain,
spl0_15,
inference(rat,[],[s10,s40]) ).
cnf(s104,plain,
spl0_62,
inference(rat,[],[s43,s103]) ).
cnf(s105,plain,
spl0_64,
inference(rat,[],[s99,s104]) ).
cnf(s106,plain,
spl0_3,
inference(rat,[],[s98,s105]) ).
cnf(s107,plain,
$false,
inference(rat,[],[s2,s3,s106]) ).
fof(f2818,plain,
$false,
inference(avatar_sat_refutation,[],[s107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : AGT022+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n016.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 19:18:34 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 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
% 3.90/1.21 % (3907531)Detected formulas, will run a generic FOF schedule.
% 3.90/1.21 % (3907536)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=4097161957:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.90/1.21 % (3907541)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4239670041:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.90/1.21 % (3907539)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2011285328:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.90/1.21 % (3907540)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4181010538:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.90/1.21 % (3907537)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=3239702001:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.90/1.21 % (3907538)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=2767371476:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.90/1.21 % (3907540)Refutation not found, incomplete strategy
% 3.90/1.21 % (3907540)------------------------------
% 3.90/1.21 % (3907540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.21 % (3907540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.21 % (3907540)CaDiCaL version: 2.1.3
% 3.90/1.21 % (3907539)Refutation not found, incomplete strategy
% 3.90/1.21 % (3907539)------------------------------
% 3.90/1.21 % (3907539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.21 % (3907540)Termination reason: Refutation not found, incomplete strategy
% 3.90/1.21 % (3907540)Time elapsed: 0.002 s
% 3.90/1.21 % (3907540)Peak memory usage: 86 MB
% 3.90/1.21 % (3907540)Instructions burned: 2 (million)
% 3.90/1.21 % (3907539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.21 % (3907539)CaDiCaL version: 2.1.3
% 3.90/1.21 % (3907539)Termination reason: Refutation not found, incomplete strategy
% 3.90/1.21 % (3907539)Time elapsed: 0.002 s
% 3.90/1.21 % (3907539)Peak memory usage: 87 MB
% 3.90/1.21 % (3907539)Instructions burned: 1 (million)
% 3.90/1.21 % (3907542)dis-21_1_sil=8000:lcm=predicate:random_seed=3011425459: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)
% 3.90/1.21 % (3907542)Instruction limit reached!
% 3.90/1.21 % (3907542)------------------------------
% 3.90/1.21 % (3907542)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.21 % (3907542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.21 % (3907542)CaDiCaL version: 2.1.3
% 3.90/1.21 % (3907542)Termination reason: Instruction limit
% 3.90/1.21 % (3907542)Termination phase: Saturation
% 3.90/1.21 % (3907542)Time elapsed: 0.071 s
% 3.90/1.21 % (3907542)Peak memory usage: 90 MB
% 3.90/1.21 % (3907542)Instructions burned: 130 (million)
% 3.90/1.21 % (3907541)Instruction limit reached!
% 3.90/1.21 % (3907541)------------------------------
% 3.90/1.21 % (3907541)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.21 % (3907541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.21 % (3907541)CaDiCaL version: 2.1.3
% 3.90/1.21 % (3907541)Termination reason: Instruction limit
% 3.90/1.21 % (3907541)Termination phase: Saturation
% 3.90/1.21 % (3907541)Time elapsed: 0.085 s
% 3.90/1.21 % (3907541)Peak memory usage: 90 MB
% 3.90/1.21 % (3907541)Instructions burned: 139 (million)
% 3.90/1.21 % (3907550)lrs+10_1_sil=8000:sp=occurrence:random_seed=4203843140:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.90/1.21 % (3907551)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3786272267:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.90/1.21 % (3907550)Refutation not found, incomplete strategy
% 3.90/1.21 % (3907550)------------------------------
% 3.90/1.21 % (3907550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.21 % (3907550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.21 % (3907550)CaDiCaL version: 2.1.3
% 3.90/1.21 % (3907550)Termination reason: Refutation not found, incomplete strategy
% 5.19/1.44 % (3907550)Time elapsed: 0.002 s
% 5.19/1.44 % (3907550)Peak memory usage: 87 MB
% 5.19/1.44 % (3907550)Instructions burned: 1 (million)
% 5.19/1.44 % (3907551)Refutation not found, incomplete strategy
% 5.19/1.44 % (3907551)------------------------------
% 5.19/1.44 % (3907551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.19/1.44 % (3907551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.19/1.44 % (3907551)CaDiCaL version: 2.1.3
% 5.19/1.44 % (3907551)Termination reason: Refutation not found, incomplete strategy
% 5.19/1.44 % (3907551)Time elapsed: 0.003 s
% 5.19/1.44 % (3907551)Peak memory usage: 88 MB
% 5.19/1.44 % (3907551)Instructions burned: 6 (million)
% 5.19/1.44 % (3907540)------------------------------
% 5.19/1.44 % (3907540)------------------------------
% 5.19/1.44 % (3907539)------------------------------
% 5.19/1.44 % (3907539)------------------------------
% 5.19/1.44 % (3907554)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3522379138:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 5.19/1.44 % (3907554)Refutation not found, incomplete strategy
% 5.19/1.44 % (3907554)------------------------------
% 5.19/1.44 % (3907554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.19/1.44 % (3907554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.19/1.44 % (3907554)CaDiCaL version: 2.1.3
% 5.19/1.44 % (3907554)Termination reason: Refutation not found, incomplete strategy
% 5.19/1.44 % (3907554)Time elapsed: 0.002 s
% 5.19/1.44 % (3907554)Peak memory usage: 88 MB
% 5.19/1.44 % (3907554)Instructions burned: 5 (million)
% 5.19/1.44 % (3907555)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=3120542671:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 5.19/1.44 [W928 19:18:35.965739860 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.
% 5.19/1.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.19/1.44 [W928 19:18:35.965739840 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.
% 5.19/1.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.19/1.44 [W928 19:18:35.965766130 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.
% 5.19/1.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.19/1.44 [W928 19:18:35.965767273 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.
% 5.19/1.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.19/1.44 [W928 19:18:35.965804463 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.
% 5.19/1.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.19/1.44 [W928 19:18:35.965806587 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.
% 5.19/1.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.19/1.44 [W928 19:18:35.965817920 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.
% 5.19/1.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.19/1.44 [W928 19:18:35.965819420 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.
% 5.19/1.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.24/1.69 [W928 19:18:35.965843163 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.24/1.69 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.24/1.69 [W928 19:18:35.965844720 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.24/1.69 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.24/1.69 [W928 19:18:35.965853590 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.24/1.69 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.24/1.69 [W928 19:18:35.965855890 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.24/1.69 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.24/1.69 [W928 19:18:35.965879620 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.24/1.69 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.24/1.69 [W928 19:18:35.965890363 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.24/1.69 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.24/1.69 [W928 19:18:35.965894327 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.24/1.69 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.24/1.69 [W928 19:18:35.965904803 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.24/1.69 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.24/1.69 [W928 19:18:35.965914143 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.24/1.69 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.24/1.69 [W928 19:18:35.965925177 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.24/1.69 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.24/1.69 [W928 19:18:35.965929100 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.24/1.69 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.24/1.69 [W928 19:18:35.965939340 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.24/1.69 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.24/1.69 [W928 19:18:35.965948987 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.24/1.69 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.24/1.69 [W928 19:18:35.965959957 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.24/1.69 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.24/1.69 [W928 19:18:35.965963383 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.24/1.69 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.24/1.69 [W928 19:18:35.965973477 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.24/1.69 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.24/1.69 % (3907551)------------------------------
% 6.24/1.69 % (3907551)------------------------------
% 6.24/1.69 % (3907550)------------------------------
% 6.24/1.69 % (3907550)------------------------------
% 6.24/1.69 % (3907554)------------------------------
% 6.24/1.69 % (3907554)------------------------------
% 6.24/1.69 % (3907555)Instruction limit reached!
% 6.24/1.69 % (3907555)------------------------------
% 6.24/1.69 % (3907555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.69 % (3907555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.69 % (3907555)CaDiCaL version: 2.1.3
% 6.24/1.69 % (3907555)Termination reason: Instruction limit
% 6.24/1.69 % (3907555)Termination phase: Saturation
% 6.24/1.69 % (3907555)Time elapsed: 0.114 s
% 6.24/1.69 % (3907555)Peak memory usage: 94 MB
% 6.24/1.69 % (3907555)Instructions burned: 250 (million)
% 6.24/1.69 % (3907538)Refutation not found, incomplete strategy
% 6.24/1.69 % (3907538)------------------------------
% 6.24/1.69 % (3907538)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.69 % (3907537)Refutation not found, incomplete strategy
% 6.24/1.69 % (3907537)------------------------------
% 6.24/1.69 % (3907537)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.69 % (3907537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.69 % (3907538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.69 % (3907537)CaDiCaL version: 2.1.3
% 6.24/1.69 % (3907538)CaDiCaL version: 2.1.3
% 6.24/1.69 % (3907537)Termination reason: Refutation not found, incomplete strategy
% 6.24/1.69 % (3907537)Time elapsed: 0.568 s
% 6.24/1.69 % (3907538)Termination reason: Refutation not found, incomplete strategy
% 6.24/1.69 % (3907538)Time elapsed: 0.568 s
% 6.24/1.69 % (3907537)Peak memory usage: 127 MB
% 6.24/1.69 % (3907538)Peak memory usage: 127 MB
% 6.24/1.69 % (3907538)Instructions burned: 832 (million)
% 6.24/1.69 % (3907537)Instructions burned: 832 (million)
% 6.24/1.69 % (3907560)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2826171826:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.24/1.69 % (3907560)Refutation not found, incomplete strategy
% 6.24/1.69 % (3907560)------------------------------
% 6.24/1.69 % (3907560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.69 % (3907560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.69 % (3907560)CaDiCaL version: 2.1.3
% 6.24/1.69 % (3907560)Termination reason: Refutation not found, incomplete strategy
% 6.24/1.69 % (3907560)Time elapsed: 0.001 s
% 6.24/1.69 % (3907560)Peak memory usage: 87 MB
% 6.24/1.69 % (3907560)Instructions burned: 2 (million)
% 6.24/1.69 % (3907536)First to succeed.
% 6.24/1.69 % (3907536)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3907531"
% 6.24/1.69 % (3907559)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=878888313:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 6.24/1.69 % (3907558)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=690844366:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 6.24/1.69 % (3907558)Refutation not found, incomplete strategy
% 6.24/1.69 % (3907558)------------------------------
% 6.24/1.69 % (3907558)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.69 % (3907558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.69 % (3907558)CaDiCaL version: 2.1.3
% 6.24/1.69 % (3907558)Termination reason: Refutation not found, incomplete strategy
% 6.24/1.69 % (3907558)Time elapsed: 0.002 s
% 6.24/1.69 % (3907558)Peak memory usage: 88 MB
% 6.24/1.69 % (3907558)Instructions burned: 3 (million)
% 6.24/1.69 % (3907561)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2836097901:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.24/1.69 % (3907561)Instruction limit reached!
% 6.24/1.69 % (3907561)------------------------------
% 6.24/1.69 % (3907561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.69 % (3907561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.69 % (3907561)CaDiCaL version: 2.1.3
% 6.24/1.69 % (3907561)Termination reason: Instruction limit
% 6.24/1.69 % (3907561)Termination phase: Saturation
% 6.24/1.69 % (3907561)Time elapsed: 0.059 s
% 6.24/1.69 % (3907561)Peak memory usage: 88 MB
% 6.24/1.69 % (3907561)Instructions burned: 128 (million)
% 6.24/1.69 % (3907560)------------------------------
% 6.24/1.69 % (3907560)------------------------------
% 6.24/1.69 % (3907567)lrs+10_1_sil=8000:sp=occurrence:random_seed=1123293343:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.24/1.69 % (3907567)Refutation not found, incomplete strategy
% 6.24/1.69 % (3907567)------------------------------
% 6.24/1.69 % (3907567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.69 % (3907567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.69 % (3907567)CaDiCaL version: 2.1.3
% 6.24/1.69 % (3907567)Termination reason: Refutation not found, incomplete strategy
% 6.24/1.69 % (3907567)Time elapsed: 0.001 s
% 6.24/1.69 % (3907567)Peak memory usage: 87 MB
% 6.24/1.69 % (3907567)Instructions burned: 2 (million)
% 6.24/1.69 % (3907537)------------------------------
% 6.24/1.69 % (3907537)------------------------------
% 6.24/1.69 % (3907538)------------------------------
% 6.24/1.69 % (3907538)------------------------------
% 6.24/1.69 % (3907566)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1703895513:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 6.24/1.69 % (3907566)Refutation not found, incomplete strategy
% 6.24/1.69 % (3907566)------------------------------
% 6.24/1.69 % (3907566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.69 % (3907566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.69 % (3907566)CaDiCaL version: 2.1.3
% 6.24/1.69 % (3907566)Termination reason: Refutation not found, incomplete strategy
% 6.24/1.69 % (3907566)Time elapsed: 0.008 s
% 6.24/1.69 % (3907566)Peak memory usage: 88 MB
% 6.24/1.69 % (3907566)Instructions burned: 16 (million)
% 6.24/1.69 % (3907536)Refutation found. Thanks to Tanya!
% 6.24/1.69 % SZS status Theorem for theBenchmark
% 6.24/1.69 % SZS output start Proof for theBenchmark
% See solution above
% 7.70/1.88 % (3907536)------------------------------
% 7.70/1.88 % (3907536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.70/1.88 % (3907536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.70/1.88 % (3907536)CaDiCaL version: 2.1.3
% 7.70/1.88 % (3907536)Termination reason: Refutation
% 7.70/1.88 % (3907536)Time elapsed: 0.635 s
% 7.70/1.88 % (3907536)Peak memory usage: 135 MB
% 7.70/1.88 % (3907536)Instructions burned: 1309 (million)
% 7.70/1.88 % (3907536)------------------------------
% 7.70/1.88 % (3907536)------------------------------
% 7.70/1.88 % (3907531)Success in time 1.024 s
% 7.70/1.88 % Vampire exiting
%------------------------------------------------------------------------------