%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : AGT010+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 : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:06:34 AM UTC 2026
% Result : Theorem 5.20s 1.46s
% Output : Refutation 6.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 32
% Syntax : Number of formulae : 138 ( 51 unt; 5 def)
% Number of atoms : 362 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 383 ( 159 ~; 152 |; 55 &)
% ( 9 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 17 usr; 6 prp; 0-4 aty)
% Number of functors : 28 ( 28 usr; 25 con; 0-2 aty)
% Number of variables : 144 ( 0 sgn 144 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2,X3] :
( accept_team(X0,X3,X1,X2)
<=> ( accept_city(X0,X1)
& accept_leader(X0,X3)
& accept_number(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_1) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( accept_population(X0,X3,X1)
& less(X2,X1) )
=> accept_population(X0,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_3) ).
fof(f5,axiom,
! [X0,X1,X2] :
( any_agent_in_all_proposed_teams(X0,X1,X2)
=> accept_leader(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_5) ).
fof(f6,axiom,
! [X0,X1,X2] :
( the_agent_not_in_any_proposed_teams(X0,X1,X2)
=> ~ ( accept_city(X0,X2)
& accept_leader(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_6) ).
fof(f14,axiom,
! [X0] :
( ( accept_population(X0,atheist,n12)
& accept_population(X0,christian,n3)
& accept_population(X0,muslim,n0)
& accept_population(X0,native,n85)
& accept_population(X0,other,n0) )
<=> accept_city(X0,coastvillage) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_7) ).
fof(f16,axiom,
! [X0] :
( ( accept_population(X0,atheist,n75)
& accept_population(X0,christian,n24)
& accept_population(X0,muslim,n1)
& accept_population(X0,native,n0)
& accept_population(X0,other,n0) )
<=> accept_city(X0,towna) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_9) ).
fof(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,
~ accept_population(countryamedicalorganization,native,n85),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_10) ).
fof(f557,negated_conjecture,
~ ~ accept_population(countryamedicalorganization,native,n85),
inference(negated_conjecture,[status(cth)],[f556]) ).
fof(f558,plain,
accept_population(countryamedicalorganization,native,n85),
inference(flattening,[],[f557]) ).
fof(f565,plain,
! [X0,X1,X2,X3] :
( accept_population(X0,X3,X2)
| ~ accept_population(X0,X3,X1)
| ~ less(X2,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f566,plain,
! [X0,X1,X2,X3] :
( accept_population(X0,X3,X2)
| ~ accept_population(X0,X3,X1)
| ~ less(X2,X1) ),
inference(flattening,[],[f565]) ).
fof(f568,plain,
! [X0,X1,X2] :
( accept_leader(X0,X1)
| ~ any_agent_in_all_proposed_teams(X0,X1,X2) ),
inference(ennf_transformation,[],[f5]) ).
fof(f569,plain,
! [X0,X1,X2] :
( ~ accept_city(X0,X2)
| ~ accept_leader(X0,X1)
| ~ the_agent_not_in_any_proposed_teams(X0,X1,X2) ),
inference(ennf_transformation,[],[f6]) ).
fof(f570,plain,
! [X0,X1,X2] :
( ~ accept_city(X0,X2)
| ~ accept_leader(X0,X1)
| ~ the_agent_not_in_any_proposed_teams(X0,X1,X2) ),
inference(flattening,[],[f569]) ).
fof(f571,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2)) ),
inference(ennf_transformation,[],[f544]) ).
fof(f572,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2)) ),
inference(flattening,[],[f571]) ).
fof(f573,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(f576,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2))
| ~ rdn_non_zero(X2) ),
inference(ennf_transformation,[],[f547]) ).
fof(f577,plain,
! [X0] :
( rdn_non_zero(rdnn(X0))
| ~ rdn_non_zero_digit(rdnn(X0)) ),
inference(ennf_transformation,[],[f548]) ).
fof(f579,plain,
! [X0,X1,X2,X3] :
( less(X0,X1)
| ~ rdn_translate(X0,rdn_pos(X2))
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_positive_less(X2,X3) ),
inference(ennf_transformation,[],[f550]) ).
fof(f580,plain,
! [X0,X1,X2,X3] :
( less(X0,X1)
| ~ rdn_translate(X0,rdn_pos(X2))
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_positive_less(X2,X3) ),
inference(flattening,[],[f579]) ).
fof(f585,plain,
! [X0,X1,X2,X3] :
( ( accept_team(X0,X3,X1,X2)
| ~ accept_city(X0,X1)
| ~ accept_leader(X0,X3)
| ~ accept_number(X0,X2) )
& ( ( accept_city(X0,X1)
& accept_leader(X0,X3)
& accept_number(X0,X2) )
| ~ accept_team(X0,X3,X1,X2) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f586,plain,
! [X0,X1,X2,X3] :
( ( accept_team(X0,X3,X1,X2)
| ~ accept_city(X0,X1)
| ~ accept_leader(X0,X3)
| ~ accept_number(X0,X2) )
& ( ( accept_city(X0,X1)
& accept_leader(X0,X3)
& accept_number(X0,X2) )
| ~ accept_team(X0,X3,X1,X2) ) ),
inference(flattening,[],[f585]) ).
fof(f599,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n12)
& accept_population(X0,christian,n3)
& accept_population(X0,muslim,n0)
& accept_population(X0,native,n85)
& accept_population(X0,other,n0) )
| ~ accept_city(X0,coastvillage) )
& ( accept_city(X0,coastvillage)
| ~ accept_population(X0,atheist,n12)
| ~ accept_population(X0,christian,n3)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,native,n85)
| ~ accept_population(X0,other,n0) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f600,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n12)
& accept_population(X0,christian,n3)
& accept_population(X0,muslim,n0)
& accept_population(X0,native,n85)
& accept_population(X0,other,n0) )
| ~ accept_city(X0,coastvillage) )
& ( accept_city(X0,coastvillage)
| ~ accept_population(X0,atheist,n12)
| ~ accept_population(X0,christian,n3)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,native,n85)
| ~ accept_population(X0,other,n0) ) ),
inference(flattening,[],[f599]) ).
fof(f603,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n75)
& accept_population(X0,christian,n24)
& accept_population(X0,muslim,n1)
& accept_population(X0,native,n0)
& accept_population(X0,other,n0) )
| ~ accept_city(X0,towna) )
& ( accept_city(X0,towna)
| ~ accept_population(X0,atheist,n75)
| ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,other,n0) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f604,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n75)
& accept_population(X0,christian,n24)
& accept_population(X0,muslim,n1)
& accept_population(X0,native,n0)
& accept_population(X0,other,n0) )
| ~ accept_city(X0,towna) )
& ( accept_city(X0,towna)
| ~ accept_population(X0,atheist,n75)
| ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,other,n0) ) ),
inference(flattening,[],[f603]) ).
fof(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,[],[f566]) ).
fof(f623,plain,
! [X2,X0,X1] :
( ~ any_agent_in_all_proposed_teams(X0,X1,X2)
| accept_leader(X0,X1) ),
inference(cnf_transformation,[],[f568]) ).
fof(f624,plain,
! [X2,X0,X1] :
( ~ the_agent_not_in_any_proposed_teams(X0,X1,X2)
| ~ accept_leader(X0,X1)
| ~ accept_city(X0,X2) ),
inference(cnf_transformation,[],[f570]) ).
fof(f661,plain,
! [X0] :
( ~ accept_population(X0,other,n0)
| ~ accept_population(X0,atheist,n12)
| ~ accept_population(X0,christian,n3)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,native,n85)
| accept_city(X0,coastvillage) ),
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,[],[f572]) ).
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,[],[f573]) ).
fof(f1229,plain,
! [X2,X0,X1] :
( rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2))
| ~ rdn_non_zero(X2) ),
inference(cnf_transformation,[],[f576]) ).
fof(f1230,plain,
! [X0] :
( ~ rdn_non_zero_digit(rdnn(X0))
| rdn_non_zero(rdnn(X0)) ),
inference(cnf_transformation,[],[f577]) ).
fof(f1232,plain,
! [X2,X3,X0,X1] :
( ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_translate(X0,rdn_pos(X2))
| less(X0,X1)
| ~ rdn_positive_less(X2,X3) ),
inference(cnf_transformation,[],[f580]) ).
fof(f1238,plain,
accept_population(countryamedicalorganization,native,n85),
inference(cnf_transformation,[],[f558]) ).
fof(f1240,plain,
( ~ accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization)
| ~ accept_city(countryamedicalorganization,coastvillage) ),
inference(resolution,[],[f624,f739]) ).
fof(f1242,definition,
( spl0_1
<=> accept_city(countryamedicalorganization,coastvillage) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f1244,plain,
( ~ accept_city(countryamedicalorganization,coastvillage)
| spl0_1 ),
inference(avatar_component_clause,[],[f1242]) ).
fof(f1246,definition,
( spl0_2
<=> accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f1249,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f1240,f1246,f1242]) ).
fof(f1250,plain,
accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization),
inference(resolution,[],[f740,f623]) ).
fof(f1251,plain,
spl0_2,
inference(avatar_split_clause,[],[f1250,f1246]) ).
fof(f1254,plain,
rdn_non_zero(rdnn(n2)),
inference(resolution,[],[f1230,f1209]) ).
fof(f1258,plain,
accept_city(countryamedicalorganization,towna),
inference(resolution,[],[f729,f617]) ).
fof(f1289,plain,
accept_city(countryamedicalorganization,townc),
inference(resolution,[],[f828,f617]) ).
fof(f1335,plain,
! [X0] :
( ~ rdn_positive_less(rdnn(X0),rdnn(n2))
| rdn_positive_less(rdnn(X0),rdnn(n3)) ),
inference(resolution,[],[f1219,f1226]) ).
fof(f1336,plain,
rdn_positive_less(rdnn(n1),rdnn(n3)),
inference(resolution,[],[f1335,f1218]) ).
fof(f1348,plain,
rdn_non_zero(rdnn(n6)),
inference(resolution,[],[f1213,f1230]) ).
fof(f1350,plain,
! [X0,X1] :
( accept_population(X0,atheist,X1)
| ~ less(X1,n30)
| ~ accept_city(X0,townc) ),
inference(resolution,[],[f620,f702]) ).
fof(f1354,plain,
! [X0,X1] :
( accept_population(X0,muslim,X1)
| ~ less(X1,n65)
| ~ accept_city(X0,townc) ),
inference(resolution,[],[f620,f700]) ).
fof(f1469,plain,
! [X0] :
( ~ accept_population(X0,native,n85)
| ~ accept_population(X0,atheist,n12)
| ~ accept_population(X0,christian,n3)
| ~ accept_population(X0,muslim,n0)
| ~ accept_city(X0,towna)
| accept_city(X0,coastvillage) ),
inference(resolution,[],[f674,f661]) ).
fof(f1472,plain,
( ~ accept_population(countryamedicalorganization,atheist,n12)
| ~ accept_population(countryamedicalorganization,christian,n3)
| ~ accept_population(countryamedicalorganization,muslim,n0)
| ~ accept_city(countryamedicalorganization,towna)
| accept_city(countryamedicalorganization,coastvillage) ),
inference(resolution,[],[f1469,f1238]) ).
fof(f1496,plain,
( ~ accept_population(countryamedicalorganization,atheist,n12)
| ~ accept_population(countryamedicalorganization,christian,n3)
| ~ accept_population(countryamedicalorganization,muslim,n0)
| accept_city(countryamedicalorganization,coastvillage) ),
inference(forward_subsumption_resolution,[],[f1472,f1258]) ).
fof(f1497,plain,
( ~ accept_population(countryamedicalorganization,atheist,n12)
| ~ accept_population(countryamedicalorganization,christian,n3)
| ~ accept_population(countryamedicalorganization,muslim,n0)
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f1496,f1244]) ).
fof(f1499,definition,
( spl0_25
<=> accept_population(countryamedicalorganization,muslim,n0) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f1501,plain,
( ~ accept_population(countryamedicalorganization,muslim,n0)
| spl0_25 ),
inference(avatar_component_clause,[],[f1499]) ).
fof(f1503,definition,
( spl0_26
<=> accept_population(countryamedicalorganization,christian,n3) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f1505,plain,
( ~ accept_population(countryamedicalorganization,christian,n3)
| spl0_26 ),
inference(avatar_component_clause,[],[f1503]) ).
fof(f1507,definition,
( spl0_27
<=> accept_population(countryamedicalorganization,atheist,n12) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f1509,plain,
( ~ accept_population(countryamedicalorganization,atheist,n12)
| spl0_27 ),
inference(avatar_component_clause,[],[f1507]) ).
fof(f1510,plain,
( ~ spl0_25
| ~ spl0_26
| ~ spl0_27
| spl0_1 ),
inference(avatar_split_clause,[],[f1497,f1242,f1507,f1503,f1499]) ).
fof(f1512,plain,
( ~ less(n12,n30)
| ~ accept_city(countryamedicalorganization,townc)
| spl0_27 ),
inference(resolution,[],[f1509,f1350]) ).
fof(f1513,plain,
( ~ less(n12,n30)
| spl0_27 ),
inference(forward_subsumption_resolution,[],[f1512,f1289]) ).
fof(f1552,plain,
! [X0,X1] :
( accept_population(X0,christian,X1)
| ~ accept_city(X0,towna)
| ~ less(X1,n24) ),
inference(resolution,[],[f677,f620]) ).
fof(f1640,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(f1642,plain,
! [X0,X1] :
( less(X0,n24)
| ~ rdn_translate(X0,rdn_pos(rdnn(X1)))
| ~ rdn_non_zero(rdnn(n2)) ),
inference(resolution,[],[f1640,f1229]) ).
fof(f1646,plain,
! [X0,X1] :
( ~ rdn_translate(X0,rdn_pos(rdnn(X1)))
| less(X0,n24) ),
inference(forward_subsumption_resolution,[],[f1642,f1254]) ).
fof(f1647,plain,
less(n3,n24),
inference(resolution,[],[f1646,f955]) ).
fof(f1969,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(f2005,plain,
! [X2,X0,X1] :
( ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),X2)))
| less(X0,n30)
| ~ rdn_positive_less(X2,rdnn(n3)) ),
inference(resolution,[],[f1969,f1227]) ).
fof(f2357,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(f2405,plain,
! [X0,X1] :
( less(X0,n65)
| ~ rdn_translate(X0,rdn_pos(rdnn(X1)))
| ~ rdn_non_zero(rdnn(n6)) ),
inference(resolution,[],[f2357,f1229]) ).
fof(f2409,plain,
! [X0,X1] :
( ~ rdn_translate(X0,rdn_pos(rdnn(X1)))
| less(X0,n65) ),
inference(forward_subsumption_resolution,[],[f2405,f1348]) ).
fof(f2416,plain,
less(n0,n65),
inference(resolution,[],[f2409,f952]) ).
fof(f2689,plain,
( less(n12,n30)
| ~ rdn_positive_less(rdnn(n1),rdnn(n3)) ),
inference(resolution,[],[f964,f2005]) ).
fof(f2697,plain,
( ~ rdn_positive_less(rdnn(n1),rdnn(n3))
| spl0_27 ),
inference(forward_subsumption_resolution,[],[f2689,f1513]) ).
fof(f2705,plain,
( $false
| spl0_27 ),
inference(forward_subsumption_resolution,[],[f2697,f1336]) ).
fof(f2706,plain,
spl0_27,
inference(avatar_contradiction_clause,[],[f2705]) ).
fof(f2711,plain,
( ~ less(n0,n65)
| ~ accept_city(countryamedicalorganization,townc)
| spl0_25 ),
inference(resolution,[],[f1501,f1354]) ).
fof(f2713,plain,
( ~ accept_city(countryamedicalorganization,townc)
| spl0_25 ),
inference(forward_subsumption_resolution,[],[f2711,f2416]) ).
fof(f2714,plain,
( $false
| spl0_25 ),
inference(forward_subsumption_resolution,[],[f2713,f1289]) ).
fof(f2715,plain,
spl0_25,
inference(avatar_contradiction_clause,[],[f2714]) ).
fof(f2717,plain,
( ~ accept_city(countryamedicalorganization,towna)
| ~ less(n3,n24)
| spl0_26 ),
inference(resolution,[],[f1505,f1552]) ).
fof(f2723,plain,
( ~ less(n3,n24)
| spl0_26 ),
inference(forward_subsumption_resolution,[],[f2717,f1258]) ).
fof(f2726,plain,
( $false
| spl0_26 ),
inference(forward_subsumption_resolution,[],[f2723,f1647]) ).
fof(f2727,plain,
spl0_26,
inference(avatar_contradiction_clause,[],[f2726]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f1249]) ).
cnf(s2,plain,
spl0_2,
inference(sat_conversion,[],[f1251]) ).
cnf(s17,plain,
( spl0_1
| ~ spl0_25
| ~ spl0_26
| ~ spl0_27 ),
inference(sat_conversion,[],[f1510]) ).
cnf(s86,plain,
spl0_27,
inference(sat_conversion,[],[f2706]) ).
cnf(s87,plain,
spl0_25,
inference(sat_conversion,[],[f2715]) ).
cnf(s89,plain,
spl0_26,
inference(sat_conversion,[],[f2727]) ).
cnf(s94,plain,
spl0_1,
inference(rat,[],[s17,s86,s89,s87]) ).
cnf(s98,plain,
$false,
inference(rat,[],[s1,s2,s94]) ).
fof(f2728,plain,
$false,
inference(avatar_sat_refutation,[],[s98]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : AGT010+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n002.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 19:11:52 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 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
% 4.51/1.40 % (664147)Detected formulas, will run a generic FOF schedule.
% 4.51/1.40 % (664152)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=3074183210:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.51/1.40 % (664155)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=722678592:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.51/1.40 % (664158)dis-21_1_sil=8000:lcm=predicate:random_seed=3760591304:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.51/1.40 % (664154)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=795412907:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.51/1.40 % (664157)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2209960982:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.51/1.40 % (664156)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3060250780:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.51/1.40 % (664153)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=3405035672:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.51/1.40 % (664155)Refutation not found, incomplete strategy
% 4.51/1.40 % (664155)------------------------------
% 4.51/1.40 % (664155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.40 % (664155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.40 % (664155)CaDiCaL version: 2.1.3
% 4.51/1.40 % (664155)Termination reason: Refutation not found, incomplete strategy
% 4.51/1.40 % (664155)Time elapsed: 0.002 s
% 4.51/1.40 % (664155)Peak memory usage: 87 MB
% 4.51/1.40 % (664155)Instructions burned: 2 (million)
% 4.51/1.40 % (664156)Refutation not found, incomplete strategy
% 4.51/1.40 % (664156)------------------------------
% 4.51/1.40 % (664156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.40 % (664156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.40 % (664156)CaDiCaL version: 2.1.3
% 4.51/1.40 % (664156)Termination reason: Refutation not found, incomplete strategy
% 4.51/1.40 % (664156)Time elapsed: 0.004 s
% 4.51/1.40 % (664156)Peak memory usage: 87 MB
% 4.51/1.40 % (664156)Instructions burned: 5 (million)
% 4.51/1.40 % (664158)Instruction limit reached!
% 4.51/1.40 % (664158)------------------------------
% 4.51/1.40 % (664158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.40 % (664158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.40 % (664158)CaDiCaL version: 2.1.3
% 4.51/1.40 % (664158)Termination reason: Instruction limit
% 4.51/1.40 % (664158)Termination phase: Saturation
% 4.51/1.40 % (664158)Time elapsed: 0.068 s
% 4.51/1.40 % (664158)Peak memory usage: 90 MB
% 4.51/1.40 % (664158)Instructions burned: 129 (million)
% 4.51/1.40 % (664157)Instruction limit reached!
% 4.51/1.40 % (664157)------------------------------
% 4.51/1.40 % (664157)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.40 % (664157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.40 % (664157)CaDiCaL version: 2.1.3
% 4.51/1.40 % (664157)Termination reason: Instruction limit
% 4.51/1.40 % (664157)Termination phase: Saturation
% 4.51/1.40 % (664157)Time elapsed: 0.083 s
% 4.51/1.40 % (664157)Peak memory usage: 90 MB
% 4.51/1.40 % (664157)Instructions burned: 139 (million)
% 4.51/1.40 % (664166)lrs+10_1_sil=8000:sp=occurrence:random_seed=2544782608:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.51/1.40 % (664166)Refutation not found, incomplete strategy
% 4.51/1.40 % (664166)------------------------------
% 4.51/1.40 % (664166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.40 % (664166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.40 % (664166)CaDiCaL version: 2.1.3
% 4.51/1.40 % (664166)Termination reason: Refutation not found, incomplete strategy
% 4.51/1.40 % (664166)Time elapsed: 0.004 s
% 4.51/1.40 % (664166)Peak memory usage: 88 MB
% 4.51/1.40 % (664166)Instructions burned: 6 (million)
% 4.51/1.40 % (664156)------------------------------
% 4.51/1.40 % (664156)------------------------------
% 5.20/1.46 % (664155)------------------------------
% 5.20/1.46 % (664155)------------------------------
% 5.20/1.46 % (664167)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4198240921:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.20/1.46 % (664167)Refutation not found, incomplete strategy
% 5.20/1.46 % (664167)------------------------------
% 5.20/1.46 % (664167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.20/1.46 % (664167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.20/1.46 % (664167)CaDiCaL version: 2.1.3
% 5.20/1.46 % (664167)Termination reason: Refutation not found, incomplete strategy
% 5.20/1.46 % (664167)Time elapsed: 0.004 s
% 5.20/1.46 % (664167)Peak memory usage: 88 MB
% 5.20/1.46 % (664167)Instructions burned: 6 (million)
% 5.20/1.46 [W928 19:11:53.500665182 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.
% 5.20/1.46 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.20/1.46 [W928 19:11:53.500701599 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.
% 5.20/1.46 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.20/1.46 [W928 19:11:53.500736849 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.
% 5.20/1.46 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.20/1.46 [W928 19:11:53.500747842 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.
% 5.20/1.46 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.20/1.46 [W928 19:11:53.500776315 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.
% 5.20/1.46 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.20/1.46 [W928 19:11:53.500786859 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.
% 5.20/1.46 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.20/1.46 [W928 19:11:53.503109548 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.
% 5.20/1.46 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.20/1.46 [W928 19:11:53.503138564 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.
% 5.20/1.46 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.20/1.46 [W928 19:11:53.503178021 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.
% 5.20/1.46 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.20/1.46 [W928 19:11:53.503191424 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.
% 5.20/1.46 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.20/1.46 [W928 19:11:53.503219301 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.
% 5.20/1.46 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.20/1.46 [W928 19:11:53.503230791 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.
% 5.20/1.46 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.20/1.46 [W928 19:11:53.503263194 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.
% 5.20/1.46 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.20/1.46 [W928 19:11:53.503326085 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.
% 5.20/1.46 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.20/1.46 [W928 19:11:53.503375765 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.
% 5.20/1.46 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.20/1.46 [W928 19:11:53.503406051 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.
% 5.20/1.46 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.20/1.46 [W928 19:11:53.503436475 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.
% 5.20/1.46 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.20/1.46 [W928 19:11:53.503447898 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.
% 5.20/1.46 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.20/1.46 % (664170)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3563440535:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 5.20/1.46 % (664171)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=603743408:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 5.20/1.46 % (664170)Refutation not found, incomplete strategy
% 5.20/1.46 % (664170)------------------------------
% 5.20/1.46 % (664170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.20/1.46 % (664170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.20/1.46 % (664170)CaDiCaL version: 2.1.3
% 5.20/1.46 % (664170)Termination reason: Refutation not found, incomplete strategy
% 5.20/1.46 % (664170)Time elapsed: 0.004 s
% 5.20/1.46 % (664170)Peak memory usage: 88 MB
% 5.20/1.46 % (664170)Instructions burned: 5 (million)
% 5.20/1.46 % (664152)First to succeed.
% 5.20/1.46 % (664152)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-664147"
% 5.20/1.46 % (664166)------------------------------
% 5.20/1.46 % (664166)------------------------------
% 5.20/1.46 % (664167)------------------------------
% 5.20/1.46 % (664167)------------------------------
% 5.20/1.46 % (664171)Instruction limit reached!
% 5.20/1.46 % (664171)------------------------------
% 5.20/1.46 % (664171)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.20/1.46 % (664171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.20/1.46 % (664171)CaDiCaL version: 2.1.3
% 5.20/1.46 % (664171)Termination reason: Instruction limit
% 5.20/1.46 % (664171)Termination phase: Saturation
% 5.20/1.46 % (664171)Time elapsed: 0.115 s
% 5.20/1.46 % (664171)Peak memory usage: 94 MB
% 5.20/1.46 % (664171)Instructions burned: 248 (million)
% 5.20/1.46 % (664154)Refutation not found, incomplete strategy
% 5.20/1.46 % (664154)------------------------------
% 5.20/1.46 % (664154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.20/1.46 % (664154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.20/1.46 % (664154)CaDiCaL version: 2.1.3
% 5.20/1.46 % (664154)Termination reason: Refutation not found, incomplete strategy
% 5.20/1.46 % (664154)Time elapsed: 0.568 s
% 5.20/1.46 % (664154)Peak memory usage: 127 MB
% 5.20/1.46 % (664154)Instructions burned: 838 (million)
% 5.20/1.46 % (664153)Refutation not found, incomplete strategy
% 5.20/1.46 % (664153)------------------------------
% 5.20/1.46 % (664153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.20/1.46 % (664153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.20/1.46 % (664153)CaDiCaL version: 2.1.3
% 5.20/1.46 % (664153)Termination reason: Refutation not found, incomplete strategy
% 5.20/1.46 % (664153)Time elapsed: 0.569 s
% 5.20/1.46 % (664153)Peak memory usage: 127 MB
% 5.20/1.46 % (664153)Instructions burned: 846 (million)
% 5.20/1.46 % (664152)Refutation found. Thanks to Tanya!
% 5.20/1.46 % SZS status Theorem for theBenchmark
% 5.20/1.46 % SZS output start Proof for theBenchmark
% See solution above
% 6.08/1.55 % (664152)------------------------------
% 6.08/1.55 % (664152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.08/1.55 % (664152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.55 % (664152)CaDiCaL version: 2.1.3
% 6.08/1.55 % (664152)Termination reason: Refutation
% 6.08/1.55 % (664152)Time elapsed: 0.482 s
% 6.08/1.55 % (664152)Peak memory usage: 136 MB
% 6.08/1.55 % (664152)Instructions burned: 1315 (million)
% 6.08/1.55 % (664152)------------------------------
% 6.08/1.55 % (664152)------------------------------
% 6.08/1.55 % (664147)Success in time 0.801 s
% 6.08/1.55 % Vampire exiting
%------------------------------------------------------------------------------