%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : AGT006+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 09:06:32 AM UTC 2026
% Result : Theorem 9.24s 2.22s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 36
% Syntax : Number of formulae : 170 ( 60 unt; 10 def)
% Number of atoms : 510 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 594 ( 254 ~; 253 |; 67 &)
% ( 15 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 20 usr; 11 prp; 0-4 aty)
% Number of functors : 31 ( 31 usr; 28 con; 0-2 aty)
% Number of variables : 150 ( 0 sgn 150 !; 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/sandbox2/benchmark/theBenchmark.p',a1_1) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( accept_population(X0,X3,X1)
& less(X2,X1) )
=> accept_population(X0,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1_3) ).
fof(f8,axiom,
! [X0] :
( ( accept_population(X0,atheist,n65)
& accept_population(X0,christian,n20)
& accept_population(X0,muslim,n7)
& accept_population(X0,native,n4)
& accept_population(X0,other,n4) )
<=> accept_city(X0,suffertown) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_1) ).
fof(f14,axiom,
! [X0] :
( ( accept_population(X0,atheist,n12)
& accept_population(X0,christian,n3)
& accept_population(X0,muslim,n0)
& accept_population(X0,native,n85)
& accept_population(X0,other,n0) )
<=> accept_city(X0,coastvillage) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_7) ).
fof(f19,axiom,
! [X0] :
( ( accept_population(X0,atheist,n78)
& accept_population(X0,christian,n20)
& accept_population(X0,muslim,n1)
& accept_population(X0,native,n0)
& accept_population(X0,other,n1) )
<=> accept_city(X0,cityb) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_12) ).
fof(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/sandbox2/benchmark/theBenchmark.p',a2_13) ).
fof(f38,axiom,
accept_team(countrybcivilorganization,countrybhumanitarianorganization,cityb,n4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_18) ).
fof(f63,axiom,
accept_team(countrybcivilorganization,countrycmedicalorganization,towna,n4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_43) ).
fof(f95,axiom,
accept_team(countrybcivilorganization,christiancountrychumanitarianorganization,coastvillage,n6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_75) ).
fof(f97,axiom,
accept_team(countrybcivilorganization,countrybhumanitarianorganization,townc,n6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_77) ).
fof(f226,axiom,
accept_team(countrybcivilorganization,countrybhumanitarianorganization,towna,n6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_206) ).
fof(f274,axiom,
rdn_translate(n4,rdn_pos(rdnn(n4))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn4) ).
fof(f275,axiom,
rdn_translate(n5,rdn_pos(rdnn(n5))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn5) ).
fof(f277,axiom,
rdn_translate(n7,rdn_pos(rdnn(n7))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn7) ).
fof(f335,axiom,
rdn_translate(n65,rdn_pos(rdn(rdnn(n5),rdnn(n6)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn65) ).
fof(f348,axiom,
rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn78) ).
fof(f355,axiom,
rdn_translate(n85,rdn_pos(rdn(rdnn(n5),rdnn(n8)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn85) ).
fof(f531,axiom,
rdn_non_zero_digit(rdnn(n6)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit6) ).
fof(f533,axiom,
rdn_non_zero_digit(rdnn(n8)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit8) ).
fof(f539,axiom,
rdn_positive_less(rdnn(n4),rdnn(n5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less45) ).
fof(f541,axiom,
rdn_positive_less(rdnn(n6),rdnn(n7)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less67) ).
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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',rdn_non_zero_by_digit) ).
fof(f550,axiom,
! [X0,X1,X2,X3] :
( ( rdn_translate(X0,rdn_pos(X2))
& rdn_translate(X1,rdn_pos(X3))
& rdn_positive_less(X2,X3) )
=> less(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_entry_point_pos_pos) ).
fof(f556,conjecture,
accept_team(countrybcivilorganization,countrybhumanitarianorganization,suffertown,n4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query_6) ).
fof(f557,negated_conjecture,
~ accept_team(countrybcivilorganization,countrybhumanitarianorganization,suffertown,n4),
inference(negated_conjecture,[status(cth)],[f556]) ).
fof(f558,plain,
~ accept_team(countrybcivilorganization,countrybhumanitarianorganization,suffertown,n4),
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(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(f587,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n65)
& accept_population(X0,christian,n20)
& accept_population(X0,muslim,n7)
& accept_population(X0,native,n4)
& accept_population(X0,other,n4) )
| ~ accept_city(X0,suffertown) )
& ( accept_city(X0,suffertown)
| ~ accept_population(X0,atheist,n65)
| ~ accept_population(X0,christian,n20)
| ~ accept_population(X0,muslim,n7)
| ~ accept_population(X0,native,n4)
| ~ accept_population(X0,other,n4) ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f588,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n65)
& accept_population(X0,christian,n20)
& accept_population(X0,muslim,n7)
& accept_population(X0,native,n4)
& accept_population(X0,other,n4) )
| ~ accept_city(X0,suffertown) )
& ( accept_city(X0,suffertown)
| ~ accept_population(X0,atheist,n65)
| ~ accept_population(X0,christian,n20)
| ~ accept_population(X0,muslim,n7)
| ~ accept_population(X0,native,n4)
| ~ accept_population(X0,other,n4) ) ),
inference(flattening,[],[f587]) ).
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(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(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(f615,plain,
! [X2,X3,X0,X1] :
( ~ accept_team(X0,X3,X1,X2)
| accept_number(X0,X2) ),
inference(cnf_transformation,[],[f586]) ).
fof(f616,plain,
! [X2,X3,X0,X1] :
( ~ accept_team(X0,X3,X1,X2)
| accept_leader(X0,X3) ),
inference(cnf_transformation,[],[f586]) ).
fof(f617,plain,
! [X2,X3,X0,X1] :
( ~ accept_team(X0,X3,X1,X2)
| accept_city(X0,X1) ),
inference(cnf_transformation,[],[f586]) ).
fof(f618,plain,
! [X2,X3,X0,X1] :
( accept_team(X0,X3,X1,X2)
| ~ accept_city(X0,X1)
| ~ accept_leader(X0,X3)
| ~ accept_number(X0,X2) ),
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(f625,plain,
! [X0] :
( ~ accept_population(X0,other,n4)
| ~ accept_population(X0,atheist,n65)
| ~ accept_population(X0,christian,n20)
| ~ accept_population(X0,muslim,n7)
| ~ accept_population(X0,native,n4)
| accept_city(X0,suffertown) ),
inference(cnf_transformation,[],[f588]) ).
fof(f663,plain,
! [X0] :
( accept_population(X0,native,n85)
| ~ accept_city(X0,coastvillage) ),
inference(cnf_transformation,[],[f600]) ).
fof(f695,plain,
! [X0] :
( accept_population(X0,christian,n20)
| ~ 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(f698,plain,
! [X0] :
( accept_population(X0,other,n5)
| ~ accept_city(X0,townc) ),
inference(cnf_transformation,[],[f612]) ).
fof(f700,plain,
! [X0] :
( accept_population(X0,muslim,n65)
| ~ accept_city(X0,townc) ),
inference(cnf_transformation,[],[f612]) ).
fof(f720,plain,
accept_team(countrybcivilorganization,countrybhumanitarianorganization,cityb,n4),
inference(cnf_transformation,[],[f38]) ).
fof(f745,plain,
accept_team(countrybcivilorganization,countrycmedicalorganization,towna,n4),
inference(cnf_transformation,[],[f63]) ).
fof(f777,plain,
accept_team(countrybcivilorganization,christiancountrychumanitarianorganization,coastvillage,n6),
inference(cnf_transformation,[],[f95]) ).
fof(f779,plain,
accept_team(countrybcivilorganization,countrybhumanitarianorganization,townc,n6),
inference(cnf_transformation,[],[f97]) ).
fof(f908,plain,
accept_team(countrybcivilorganization,countrybhumanitarianorganization,towna,n6),
inference(cnf_transformation,[],[f226]) ).
fof(f956,plain,
rdn_translate(n4,rdn_pos(rdnn(n4))),
inference(cnf_transformation,[],[f274]) ).
fof(f957,plain,
rdn_translate(n5,rdn_pos(rdnn(n5))),
inference(cnf_transformation,[],[f275]) ).
fof(f959,plain,
rdn_translate(n7,rdn_pos(rdnn(n7))),
inference(cnf_transformation,[],[f277]) ).
fof(f1017,plain,
rdn_translate(n65,rdn_pos(rdn(rdnn(n5),rdnn(n6)))),
inference(cnf_transformation,[],[f335]) ).
fof(f1030,plain,
rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
inference(cnf_transformation,[],[f348]) ).
fof(f1037,plain,
rdn_translate(n85,rdn_pos(rdn(rdnn(n5),rdnn(n8)))),
inference(cnf_transformation,[],[f355]) ).
fof(f1213,plain,
rdn_non_zero_digit(rdnn(n6)),
inference(cnf_transformation,[],[f531]) ).
fof(f1215,plain,
rdn_non_zero_digit(rdnn(n8)),
inference(cnf_transformation,[],[f533]) ).
fof(f1221,plain,
rdn_positive_less(rdnn(n4),rdnn(n5)),
inference(cnf_transformation,[],[f539]) ).
fof(f1223,plain,
rdn_positive_less(rdnn(n6),rdnn(n7)),
inference(cnf_transformation,[],[f541]) ).
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_team(countrybcivilorganization,countrybhumanitarianorganization,suffertown,n4),
inference(cnf_transformation,[],[f558]) ).
fof(f1240,plain,
( ~ accept_city(countrybcivilorganization,suffertown)
| ~ accept_leader(countrybcivilorganization,countrybhumanitarianorganization)
| ~ accept_number(countrybcivilorganization,n4) ),
inference(resolution,[],[f618,f1238]) ).
fof(f1242,definition,
( spl0_1
<=> accept_number(countrybcivilorganization,n4) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f1244,plain,
( ~ accept_number(countrybcivilorganization,n4)
| spl0_1 ),
inference(avatar_component_clause,[],[f1242]) ).
fof(f1246,definition,
( spl0_2
<=> accept_leader(countrybcivilorganization,countrybhumanitarianorganization) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f1248,plain,
( ~ accept_leader(countrybcivilorganization,countrybhumanitarianorganization)
| spl0_2 ),
inference(avatar_component_clause,[],[f1246]) ).
fof(f1250,definition,
( spl0_3
<=> accept_city(countrybcivilorganization,suffertown) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f1252,plain,
( ~ accept_city(countrybcivilorganization,suffertown)
| spl0_3 ),
inference(avatar_component_clause,[],[f1250]) ).
fof(f1253,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f1240,f1250,f1246,f1242]) ).
fof(f1257,plain,
accept_number(countrybcivilorganization,n4),
inference(resolution,[],[f745,f615]) ).
fof(f1260,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f1257,f1244]) ).
fof(f1261,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f1260]) ).
fof(f1263,plain,
accept_leader(countrybcivilorganization,countrybhumanitarianorganization),
inference(resolution,[],[f908,f616]) ).
fof(f1265,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f1263,f1248]) ).
fof(f1266,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f1265]) ).
fof(f1269,plain,
accept_city(countrybcivilorganization,cityb),
inference(resolution,[],[f720,f617]) ).
fof(f1273,plain,
accept_city(countrybcivilorganization,townc),
inference(resolution,[],[f779,f617]) ).
fof(f1292,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(f1302,plain,
accept_city(countrybcivilorganization,coastvillage),
inference(resolution,[],[f777,f617]) ).
fof(f1316,plain,
! [X0,X1] :
( less(X0,n65)
| ~ rdn_translate(X0,rdn_pos(rdnn(X1)))
| ~ rdn_non_zero(rdnn(n6)) ),
inference(resolution,[],[f1292,f1229]) ).
fof(f1318,definition,
( spl0_4
<=> rdn_non_zero(rdnn(n6)) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f1320,plain,
( ~ rdn_non_zero(rdnn(n6))
| spl0_4 ),
inference(avatar_component_clause,[],[f1318]) ).
fof(f1322,definition,
( spl0_5
<=> ! [X0,X1] :
( less(X0,n65)
| ~ rdn_translate(X0,rdn_pos(rdnn(X1))) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f1323,plain,
( ! [X0,X1] :
( ~ rdn_translate(X0,rdn_pos(rdnn(X1)))
| less(X0,n65) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f1322]) ).
fof(f1324,plain,
( ~ spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f1316,f1322,f1318]) ).
fof(f1325,plain,
rdn_non_zero(rdnn(n8)),
inference(resolution,[],[f1215,f1230]) ).
fof(f1391,plain,
! [X0,X1] :
( accept_population(X0,muslim,X1)
| ~ less(X1,n65)
| ~ accept_city(X0,townc) ),
inference(resolution,[],[f620,f700]) ).
fof(f1399,plain,
! [X0,X1] :
( accept_population(X0,other,X1)
| ~ less(X1,n5)
| ~ accept_city(X0,townc) ),
inference(resolution,[],[f620,f698]) ).
fof(f1409,plain,
rdn_non_zero(rdnn(n6)),
inference(resolution,[],[f1213,f1230]) ).
fof(f1410,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f1409,f1320]) ).
fof(f1411,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f1410]) ).
fof(f1442,plain,
( less(n7,n65)
| ~ spl0_5 ),
inference(resolution,[],[f1323,f959]) ).
fof(f1463,plain,
! [X0,X1] :
( ~ rdn_positive_less(X1,rdnn(n5))
| less(X0,n5)
| ~ rdn_translate(X0,rdn_pos(X1)) ),
inference(resolution,[],[f957,f1232]) ).
fof(f1519,plain,
! [X0] :
( ~ less(n4,n5)
| ~ accept_city(X0,townc)
| ~ accept_population(X0,atheist,n65)
| ~ accept_population(X0,christian,n20)
| ~ accept_population(X0,muslim,n7)
| ~ accept_population(X0,native,n4)
| accept_city(X0,suffertown) ),
inference(resolution,[],[f1399,f625]) ).
fof(f1525,definition,
( spl0_16
<=> ! [X0] :
( ~ accept_city(X0,townc)
| accept_city(X0,suffertown)
| ~ accept_population(X0,native,n4)
| ~ accept_population(X0,muslim,n7)
| ~ accept_population(X0,christian,n20)
| ~ accept_population(X0,atheist,n65) ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f1526,plain,
( ! [X0] :
( ~ accept_population(X0,native,n4)
| accept_city(X0,suffertown)
| ~ accept_city(X0,townc)
| ~ accept_population(X0,muslim,n7)
| ~ accept_population(X0,christian,n20)
| ~ accept_population(X0,atheist,n65) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f1525]) ).
fof(f1528,definition,
( spl0_17
<=> less(n4,n5) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f1530,plain,
( ~ less(n4,n5)
| spl0_17 ),
inference(avatar_component_clause,[],[f1528]) ).
fof(f1531,plain,
( spl0_16
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f1519,f1528,f1525]) ).
fof(f1540,plain,
! [X0,X1] :
( accept_population(X0,atheist,X1)
| ~ accept_city(X0,cityb)
| ~ less(X1,n78) ),
inference(resolution,[],[f696,f620]) ).
fof(f1748,plain,
! [X0] :
( ~ rdn_translate(X0,rdn_pos(rdnn(n4)))
| less(X0,n5) ),
inference(resolution,[],[f1463,f1221]) ).
fof(f2061,plain,
! [X0,X1] :
( ~ rdn_positive_less(X1,rdn(rdnn(n5),rdnn(n8)))
| less(X0,n85)
| ~ rdn_translate(X0,rdn_pos(X1)) ),
inference(resolution,[],[f1037,f1232]) ).
fof(f2099,plain,
! [X0,X1] :
( less(X0,n85)
| ~ rdn_translate(X0,rdn_pos(rdnn(X1)))
| ~ rdn_non_zero(rdnn(n8)) ),
inference(resolution,[],[f2061,f1229]) ).
fof(f2103,plain,
! [X0,X1] :
( ~ rdn_translate(X0,rdn_pos(rdnn(X1)))
| less(X0,n85) ),
inference(forward_subsumption_resolution,[],[f2099,f1325]) ).
fof(f2105,plain,
less(n4,n85),
inference(resolution,[],[f2103,f956]) ).
fof(f2173,plain,
! [X0,X1] :
( accept_population(X0,native,X1)
| ~ accept_city(X0,coastvillage)
| ~ less(X1,n85) ),
inference(resolution,[],[f663,f620]) ).
fof(f2469,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(f2482,plain,
! [X2,X0,X1] :
( ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),X2)))
| less(X0,n78)
| ~ rdn_positive_less(X2,rdnn(n7)) ),
inference(resolution,[],[f2469,f1227]) ).
fof(f2510,plain,
( less(n65,n78)
| ~ rdn_positive_less(rdnn(n6),rdnn(n7)) ),
inference(resolution,[],[f2482,f1017]) ).
fof(f2524,plain,
less(n65,n78),
inference(forward_subsumption_resolution,[],[f2510,f1223]) ).
fof(f5393,plain,
less(n4,n5),
inference(resolution,[],[f1748,f956]) ).
fof(f5394,plain,
( $false
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f5393,f1530]) ).
fof(f5395,plain,
spl0_17,
inference(avatar_contradiction_clause,[],[f5394]) ).
fof(f5397,plain,
( ! [X0] :
( accept_city(X0,suffertown)
| ~ accept_city(X0,townc)
| ~ accept_population(X0,muslim,n7)
| ~ accept_population(X0,christian,n20)
| ~ accept_population(X0,atheist,n65)
| ~ accept_city(X0,coastvillage)
| ~ less(n4,n85) )
| ~ spl0_16 ),
inference(resolution,[],[f1526,f2173]) ).
fof(f5403,plain,
( ! [X0] :
( ~ accept_population(X0,muslim,n7)
| ~ accept_city(X0,townc)
| accept_city(X0,suffertown)
| ~ accept_population(X0,christian,n20)
| ~ accept_population(X0,atheist,n65)
| ~ accept_city(X0,coastvillage) )
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f5397,f2105]) ).
fof(f5410,plain,
( ! [X0] :
( ~ accept_city(X0,townc)
| accept_city(X0,suffertown)
| ~ accept_population(X0,christian,n20)
| ~ accept_population(X0,atheist,n65)
| ~ accept_city(X0,coastvillage)
| ~ less(n7,n65)
| ~ accept_city(X0,townc) )
| ~ spl0_16 ),
inference(resolution,[],[f5403,f1391]) ).
fof(f5411,plain,
( ! [X0] :
( ~ accept_city(X0,townc)
| accept_city(X0,suffertown)
| ~ accept_population(X0,christian,n20)
| ~ accept_population(X0,atheist,n65)
| ~ accept_city(X0,coastvillage)
| ~ less(n7,n65) )
| ~ spl0_16 ),
inference(duplicate_literal_removal,[],[f5410]) ).
fof(f5414,plain,
( ! [X0] :
( ~ accept_city(X0,townc)
| accept_city(X0,suffertown)
| ~ accept_population(X0,christian,n20)
| ~ accept_population(X0,atheist,n65)
| ~ accept_city(X0,coastvillage) )
| ~ spl0_5
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f5411,f1442]) ).
fof(f5420,definition,
( spl0_312
<=> ! [X0] :
( ~ accept_city(X0,townc)
| ~ accept_city(X0,coastvillage)
| ~ accept_population(X0,atheist,n65)
| ~ accept_population(X0,christian,n20)
| accept_city(X0,suffertown) ) ),
introduced(definition,[new_symbols(definition,[spl0_312])],[avatar_definition]) ).
fof(f5421,plain,
( ! [X0] :
( ~ accept_population(X0,christian,n20)
| ~ accept_city(X0,coastvillage)
| ~ accept_population(X0,atheist,n65)
| ~ accept_city(X0,townc)
| accept_city(X0,suffertown) )
| ~ spl0_312 ),
inference(avatar_component_clause,[],[f5420]) ).
fof(f5423,plain,
( spl0_312
| ~ spl0_5
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f5414,f1525,f1322,f5420]) ).
fof(f5424,plain,
( ! [X0] :
( ~ accept_city(X0,coastvillage)
| ~ accept_population(X0,atheist,n65)
| ~ accept_city(X0,townc)
| accept_city(X0,suffertown)
| ~ accept_city(X0,cityb) )
| ~ spl0_312 ),
inference(resolution,[],[f5421,f695]) ).
fof(f5444,definition,
( spl0_314
<=> ! [X0] :
( ~ accept_city(X0,coastvillage)
| ~ accept_city(X0,cityb)
| accept_city(X0,suffertown)
| ~ accept_city(X0,townc)
| ~ accept_population(X0,atheist,n65) ) ),
introduced(definition,[new_symbols(definition,[spl0_314])],[avatar_definition]) ).
fof(f5445,plain,
( ! [X0] :
( ~ accept_population(X0,atheist,n65)
| ~ accept_city(X0,cityb)
| accept_city(X0,suffertown)
| ~ accept_city(X0,townc)
| ~ accept_city(X0,coastvillage) )
| ~ spl0_314 ),
inference(avatar_component_clause,[],[f5444]) ).
fof(f5457,plain,
( spl0_314
| ~ spl0_312 ),
inference(avatar_split_clause,[],[f5424,f5420,f5444]) ).
fof(f5461,plain,
( ! [X0] :
( ~ accept_city(X0,cityb)
| accept_city(X0,suffertown)
| ~ accept_city(X0,townc)
| ~ accept_city(X0,coastvillage)
| ~ accept_city(X0,cityb)
| ~ less(n65,n78) )
| ~ spl0_314 ),
inference(resolution,[],[f5445,f1540]) ).
fof(f5477,plain,
( ! [X0] :
( ~ accept_city(X0,cityb)
| accept_city(X0,suffertown)
| ~ accept_city(X0,townc)
| ~ accept_city(X0,coastvillage)
| ~ less(n65,n78) )
| ~ spl0_314 ),
inference(duplicate_literal_removal,[],[f5461]) ).
fof(f5484,definition,
( spl0_318
<=> ! [X0] :
( ~ accept_city(X0,cityb)
| ~ accept_city(X0,coastvillage)
| ~ accept_city(X0,townc)
| accept_city(X0,suffertown) ) ),
introduced(definition,[new_symbols(definition,[spl0_318])],[avatar_definition]) ).
fof(f5485,plain,
( ! [X0] :
( ~ accept_city(X0,townc)
| ~ accept_city(X0,coastvillage)
| ~ accept_city(X0,cityb)
| accept_city(X0,suffertown) )
| ~ spl0_318 ),
inference(avatar_component_clause,[],[f5484]) ).
fof(f5505,plain,
( ! [X0] :
( ~ accept_city(X0,cityb)
| accept_city(X0,suffertown)
| ~ accept_city(X0,townc)
| ~ accept_city(X0,coastvillage) )
| ~ spl0_314 ),
inference(forward_subsumption_resolution,[],[f5477,f2524]) ).
fof(f5506,plain,
( spl0_318
| ~ spl0_314 ),
inference(avatar_split_clause,[],[f5505,f5444,f5484]) ).
fof(f5507,plain,
( ~ accept_city(countrybcivilorganization,coastvillage)
| ~ accept_city(countrybcivilorganization,cityb)
| accept_city(countrybcivilorganization,suffertown)
| ~ spl0_318 ),
inference(resolution,[],[f5485,f1273]) ).
fof(f5512,plain,
( ~ accept_city(countrybcivilorganization,cityb)
| accept_city(countrybcivilorganization,suffertown)
| ~ spl0_318 ),
inference(forward_subsumption_resolution,[],[f5507,f1302]) ).
fof(f5523,plain,
( accept_city(countrybcivilorganization,suffertown)
| ~ spl0_318 ),
inference(forward_subsumption_resolution,[],[f5512,f1269]) ).
fof(f5525,plain,
( $false
| spl0_3
| ~ spl0_318 ),
inference(forward_subsumption_resolution,[],[f5523,f1252]) ).
fof(f5526,plain,
( spl0_3
| ~ spl0_318 ),
inference(avatar_contradiction_clause,[],[f5525]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f1253]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f1261]) ).
cnf(s3,plain,
spl0_2,
inference(sat_conversion,[],[f1266]) ).
cnf(s4,plain,
( ~ spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f1324]) ).
cnf(s5,plain,
spl0_4,
inference(sat_conversion,[],[f1411]) ).
cnf(s11,plain,
( spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f1531]) ).
cnf(s361,plain,
spl0_17,
inference(sat_conversion,[],[f5395]) ).
cnf(s363,plain,
( ~ spl0_5
| ~ spl0_16
| spl0_312 ),
inference(sat_conversion,[],[f5423]) ).
cnf(s367,plain,
( ~ spl0_312
| spl0_314 ),
inference(sat_conversion,[],[f5457]) ).
cnf(s374,plain,
( ~ spl0_314
| spl0_318 ),
inference(sat_conversion,[],[f5506]) ).
cnf(s377,plain,
( spl0_3
| ~ spl0_318 ),
inference(sat_conversion,[],[f5526]) ).
cnf(s401,plain,
spl0_16,
inference(rat,[],[s11,s361]) ).
cnf(s402,plain,
spl0_5,
inference(rat,[],[s4,s5]) ).
cnf(s403,plain,
spl0_312,
inference(rat,[],[s363,s401,s402]) ).
cnf(s404,plain,
spl0_314,
inference(rat,[],[s367,s403]) ).
cnf(s405,plain,
spl0_318,
inference(rat,[],[s374,s404]) ).
cnf(s406,plain,
spl0_3,
inference(rat,[],[s377,s405]) ).
cnf(s407,plain,
$false,
inference(rat,[],[s1,s406,s3,s2]) ).
fof(f5527,plain,
$false,
inference(avatar_sat_refutation,[],[s407]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT006+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n009.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 19:08:45 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running first-order theorem proving
% 0.08/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.24/1.49 % (3359446)Detected formulas, will run a generic FOF schedule.
% 5.24/1.49 % (3359455)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2497403928:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.24/1.49 % (3359455)Refutation not found, incomplete strategy
% 5.24/1.49 % (3359455)------------------------------
% 5.24/1.49 % (3359455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.24/1.49 % (3359455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.24/1.49 % (3359455)CaDiCaL version: 2.1.3
% 5.24/1.49 % (3359455)Termination reason: Refutation not found, incomplete strategy
% 5.24/1.49 % (3359455)Time elapsed: 0.002 s
% 5.24/1.49 % (3359455)Peak memory usage: 88 MB
% 5.24/1.49 % (3359455)Instructions burned: 4 (million)
% 5.24/1.49 % (3359453)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=309942709:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.24/1.49 % (3359456)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3606007215:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.24/1.49 % (3359454)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1778866524:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.24/1.49 % (3359452)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=1690859038:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.24/1.49 % (3359451)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=3097605772:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.24/1.49 % (3359457)dis-21_1_sil=8000:lcm=predicate:random_seed=2929179331:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 5.24/1.49 % (3359454)Refutation not found, incomplete strategy
% 5.24/1.49 % (3359454)------------------------------
% 5.24/1.49 % (3359454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.24/1.49 % (3359454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.24/1.49 % (3359454)CaDiCaL version: 2.1.3
% 5.24/1.49 % (3359454)Termination reason: Refutation not found, incomplete strategy
% 5.24/1.49 % (3359454)Time elapsed: 0.002 s
% 5.24/1.49 % (3359454)Peak memory usage: 87 MB
% 5.24/1.49 % (3359454)Instructions burned: 2 (million)
% 5.24/1.49 % (3359457)Instruction limit reached!
% 5.24/1.49 % (3359457)------------------------------
% 5.24/1.49 % (3359457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.24/1.49 % (3359457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.24/1.49 % (3359457)CaDiCaL version: 2.1.3
% 5.24/1.49 % (3359457)Termination reason: Instruction limit
% 5.24/1.49 % (3359457)Termination phase: Saturation
% 5.24/1.49 % (3359457)Time elapsed: 0.071 s
% 5.24/1.49 % (3359457)Peak memory usage: 90 MB
% 5.24/1.49 % (3359457)Instructions burned: 130 (million)
% 5.24/1.49 % (3359456)Instruction limit reached!
% 5.24/1.49 % (3359456)------------------------------
% 5.24/1.49 % (3359456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.24/1.49 % (3359456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.24/1.49 % (3359456)CaDiCaL version: 2.1.3
% 5.24/1.49 % (3359456)Termination reason: Instruction limit
% 5.24/1.49 % (3359456)Termination phase: Saturation
% 5.24/1.49 % (3359456)Time elapsed: 0.080 s
% 5.24/1.49 % (3359456)Peak memory usage: 90 MB
% 5.24/1.49 % (3359456)Instructions burned: 139 (million)
% 5.24/1.49 % (3359455)------------------------------
% 5.24/1.49 % (3359455)------------------------------
% 5.24/1.49 % (3359467)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2862432304:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.24/1.49 % (3359467)Refutation not found, incomplete strategy
% 5.24/1.49 % (3359467)------------------------------
% 5.24/1.49 % (3359467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.24/1.49 % (3359467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.24/1.49 % (3359467)CaDiCaL version: 2.1.3
% 5.24/1.49 % (3359467)Termination reason: Refutation not found, incomplete strategy
% 5.24/1.49 % (3359467)Time elapsed: 0.001 s
% 5.24/1.49 % (3359467)Peak memory usage: 88 MB
% 7.59/1.91 % (3359467)Instructions burned: 2 (million)
% 7.59/1.91 % (3359465)lrs+10_1_sil=8000:sp=occurrence:random_seed=1643272369:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 7.59/1.91 % (3359466)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3099374355:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.59/1.91 % (3359466)Refutation not found, incomplete strategy
% 7.59/1.91 % (3359466)------------------------------
% 7.59/1.91 % (3359466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/1.91 % (3359466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/1.91 % (3359466)CaDiCaL version: 2.1.3
% 7.59/1.91 % (3359466)Termination reason: Refutation not found, incomplete strategy
% 7.59/1.91 % (3359466)Time elapsed: 0.004 s
% 7.59/1.91 % (3359466)Peak memory usage: 88 MB
% 7.59/1.91 % (3359466)Instructions burned: 6 (million)
% 7.59/1.91 % (3359465)Refutation not found, incomplete strategy
% 7.59/1.91 % (3359465)------------------------------
% 7.59/1.91 % (3359465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/1.91 % (3359465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/1.91 % (3359465)CaDiCaL version: 2.1.3
% 7.59/1.91 % (3359465)Termination reason: Refutation not found, incomplete strategy
% 7.59/1.91 % (3359465)Time elapsed: 0.004 s
% 7.59/1.91 % (3359465)Peak memory usage: 88 MB
% 7.59/1.91 % (3359465)Instructions burned: 7 (million)
% 7.59/1.91 % (3359454)------------------------------
% 7.59/1.91 % (3359454)------------------------------
% 7.59/1.91 % (3359467)------------------------------
% 7.59/1.91 % (3359467)------------------------------
% 7.59/1.91 [W928 19:08:46.550271201 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.
% 7.59/1.91 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.59/1.91 [W928 19:08:46.550320568 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.
% 7.59/1.91 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.59/1.91 [W928 19:08:46.550361522 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.
% 7.59/1.91 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.59/1.91 [W928 19:08:46.550380978 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.
% 7.59/1.91 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.59/1.91 [W928 19:08:46.550410722 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.
% 7.59/1.91 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.59/1.91 [W928 19:08:46.550421159 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.
% 7.59/1.91 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.59/1.91 [W928 19:08:46.550446232 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.
% 7.59/1.91 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.59/1.91 [W928 19:08:46.550458826 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.
% 7.59/1.91 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.59/1.91 [W928 19:08:46.550484516 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.
% 9.24/2.22 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 9.24/2.22 [W928 19:08:46.550496243 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.
% 9.24/2.22 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 9.24/2.22 [W928 19:08:46.550528006 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.
% 9.24/2.22 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 9.24/2.22 [W928 19:08:46.550543390 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.
% 9.24/2.22 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 9.24/2.22 % (3359471)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=1607979546:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 9.24/2.22 % (3359466)------------------------------
% 9.24/2.22 % (3359466)------------------------------
% 9.24/2.22 % (3359465)------------------------------
% 9.24/2.22 % (3359465)------------------------------
% 9.24/2.22 % (3359472)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3664673653:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 9.24/2.22 % (3359472)Refutation not found, incomplete strategy
% 9.24/2.22 % (3359472)------------------------------
% 9.24/2.22 % (3359472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.24/2.22 % (3359472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.24/2.22 % (3359472)CaDiCaL version: 2.1.3
% 9.24/2.22 % (3359472)Termination reason: Refutation not found, incomplete strategy
% 9.24/2.22 % (3359472)Time elapsed: 0.003 s
% 9.24/2.22 % (3359472)Peak memory usage: 88 MB
% 9.24/2.22 % (3359472)Instructions burned: 7 (million)
% 9.24/2.22 % (3359471)Instruction limit reached!
% 9.24/2.22 % (3359471)------------------------------
% 9.24/2.22 % (3359471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.24/2.22 % (3359471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.24/2.22 % (3359471)CaDiCaL version: 2.1.3
% 9.24/2.22 % (3359471)Termination reason: Instruction limit
% 9.24/2.22 % (3359471)Termination phase: Saturation
% 9.24/2.22 % (3359471)Time elapsed: 0.115 s
% 9.24/2.22 % (3359471)Peak memory usage: 94 MB
% 9.24/2.22 % (3359471)Instructions burned: 248 (million)
% 9.24/2.22 % (3359452)Refutation not found, incomplete strategy
% 9.24/2.22 % (3359452)------------------------------
% 9.24/2.22 % (3359452)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.24/2.22 % (3359452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.24/2.22 % (3359452)CaDiCaL version: 2.1.3
% 9.24/2.22 % (3359452)Termination reason: Refutation not found, incomplete strategy
% 9.24/2.22 % (3359452)Time elapsed: 0.568 s
% 9.24/2.22 % (3359452)Peak memory usage: 127 MB
% 9.24/2.22 % (3359452)Instructions burned: 841 (million)
% 9.24/2.22 % (3359453)Refutation not found, incomplete strategy
% 9.24/2.22 % (3359453)------------------------------
% 9.24/2.22 % (3359453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.24/2.22 % (3359453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.24/2.22 % (3359453)CaDiCaL version: 2.1.3
% 9.24/2.22 % (3359453)Termination reason: Refutation not found, incomplete strategy
% 9.24/2.22 % (3359453)Time elapsed: 0.605 s
% 9.24/2.22 % (3359453)Peak memory usage: 128 MB
% 9.24/2.22 % (3359453)Instructions burned: 896 (million)
% 9.24/2.22 % (3359475)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3617204571:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 9.24/2.22 % (3359474)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=847964043:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 9.24/2.22 % (3359475)Refutation not found, incomplete strategy
% 9.24/2.22 % (3359475)------------------------------
% 9.24/2.22 % (3359475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.24/2.22 % (3359475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.24/2.22 % (3359475)CaDiCaL version: 2.1.3
% 9.24/2.22 % (3359475)Termination reason: Refutation not found, incomplete strategy
% 9.24/2.22 % (3359475)Time elapsed: 0.004 s
% 9.24/2.22 % (3359475)Peak memory usage: 88 MB
% 9.24/2.22 % (3359475)Instructions burned: 4 (million)
% 9.24/2.22 % (3359472)------------------------------
% 9.24/2.22 % (3359472)------------------------------
% 9.24/2.22 % (3359477)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2238414908:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 9.24/2.22 % (3359477)Instruction limit reached!
% 9.24/2.22 % (3359477)------------------------------
% 9.24/2.22 % (3359477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.24/2.22 % (3359477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.24/2.22 % (3359477)CaDiCaL version: 2.1.3
% 9.24/2.22 % (3359477)Termination reason: Instruction limit
% 9.24/2.22 % (3359477)Termination phase: Saturation
% 9.24/2.22 % (3359477)Time elapsed: 0.062 s
% 9.24/2.22 % (3359477)Peak memory usage: 88 MB
% 9.24/2.22 % (3359477)Instructions burned: 128 (million)
% 9.24/2.22 % (3359480)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=616667510:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 9.24/2.22 % (3359480)Refutation not found, incomplete strategy
% 9.24/2.22 % (3359480)------------------------------
% 9.24/2.22 % (3359480)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.24/2.22 % (3359480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.24/2.22 % (3359480)CaDiCaL version: 2.1.3
% 9.24/2.22 % (3359480)Termination reason: Refutation not found, incomplete strategy
% 9.24/2.22 % (3359480)Time elapsed: 0.004 s
% 9.24/2.22 % (3359480)Peak memory usage: 88 MB
% 9.24/2.22 % (3359480)Instructions burned: 16 (million)
% 9.24/2.22 % (3359452)------------------------------
% 9.24/2.22 % (3359452)------------------------------
% 9.24/2.22 % (3359453)------------------------------
% 9.24/2.22 % (3359453)------------------------------
% 9.24/2.22 % (3359475)------------------------------
% 9.24/2.22 % (3359475)------------------------------
% 9.24/2.22 % (3359482)lrs+10_1_sil=8000:sp=occurrence:random_seed=945390482:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 9.24/2.22 % (3359482)Refutation not found, incomplete strategy
% 9.24/2.22 % (3359482)------------------------------
% 9.24/2.22 % (3359482)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.24/2.22 % (3359482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.24/2.22 % (3359482)CaDiCaL version: 2.1.3
% 9.24/2.22 % (3359482)Termination reason: Refutation not found, incomplete strategy
% 9.24/2.22 % (3359482)Time elapsed: 0.005 s
% 9.24/2.22 % (3359482)Peak memory usage: 88 MB
% 9.24/2.22 % (3359482)Instructions burned: 8 (million)
% 9.24/2.22 % (3359480)------------------------------
% 9.24/2.22 % (3359480)------------------------------
% 9.24/2.22 % (3359484)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3658723086:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 9.24/2.22 % (3359484)Refutation not found, incomplete strategy
% 9.24/2.22 % (3359484)------------------------------
% 9.24/2.22 % (3359484)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.24/2.22 % (3359484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.24/2.22 % (3359484)CaDiCaL version: 2.1.3
% 9.24/2.22 % (3359484)Termination reason: Refutation not found, incomplete strategy
% 9.24/2.22 % (3359484)Time elapsed: 0.002 s
% 9.24/2.22 % (3359484)Peak memory usage: 88 MB
% 9.24/2.22 % (3359484)Instructions burned: 2 (million)
% 9.24/2.22 % (3359485)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3940624128:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 9.24/2.22 % (3359486)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1560791462:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 9.24/2.22 % (3359488)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3997765677:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 9.24/2.22 % (3359486)Refutation not found, incomplete strategy
% 9.24/2.22 % (3359486)------------------------------
% 9.24/2.22 % (3359486)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.24/2.22 % (3359486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.24/2.22 % (3359486)CaDiCaL version: 2.1.3
% 9.24/2.22 % (3359486)Termination reason: Refutation not found, incomplete strategy
% 9.24/2.22 % (3359486)Time elapsed: 0.005 s
% 9.24/2.22 % (3359486)Peak memory usage: 88 MB
% 9.24/2.22 % (3359486)Instructions burned: 7 (million)
% 9.24/2.22 % (3359488)Refutation not found, incomplete strategy
% 9.24/2.22 % (3359488)------------------------------
% 9.24/2.22 % (3359488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.24/2.22 % (3359488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.24/2.22 % (3359488)CaDiCaL version: 2.1.3
% 9.24/2.22 % (3359488)Termination reason: Refutation not found, incomplete strategy
% 9.24/2.22 % (3359488)Time elapsed: 0.004 s
% 9.24/2.22 % (3359488)Peak memory usage: 88 MB
% 9.24/2.22 % (3359488)Instructions burned: 13 (million)
% 9.24/2.22 % (3359451)First to succeed.
% 9.24/2.22 % (3359451)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3359446"
% 9.24/2.22 % (3359482)------------------------------
% 9.24/2.22 % (3359482)------------------------------
% 9.24/2.22 % (3359488)------------------------------
% 9.24/2.22 % (3359488)------------------------------
% 9.24/2.22 % (3359484)------------------------------
% 9.24/2.22 % (3359484)------------------------------
% 9.24/2.22 % (3359486)------------------------------
% 9.24/2.22 % (3359486)------------------------------
% 9.24/2.22 % (3359494)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3190034838:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/125Mi)
% 9.24/2.22 % (3359493)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1659130714:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 9.24/2.22 % (3359494)Refutation not found, incomplete strategy
% 9.24/2.22 % (3359494)------------------------------
% 9.24/2.22 % (3359494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.24/2.22 % (3359494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.24/2.22 % (3359494)CaDiCaL version: 2.1.3
% 9.24/2.22 % (3359494)Termination reason: Refutation not found, incomplete strategy
% 9.24/2.22 % (3359494)Time elapsed: 0.004 s
% 9.24/2.22 % (3359494)Peak memory usage: 88 MB
% 9.24/2.22 % (3359494)Instructions burned: 12 (million)
% 9.24/2.22 % (3359451)Refutation found. Thanks to Tanya!
% 9.24/2.22 % SZS status Theorem for theBenchmark
% 9.24/2.22 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/2.41 % (3359451)------------------------------
% 0.20/2.41 % (3359451)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/2.41 % (3359451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/2.41 % (3359451)CaDiCaL version: 2.1.3
% 0.20/2.41 % (3359451)Termination reason: Refutation
% 0.20/2.41 % (3359451)Time elapsed: 1.092 s
% 0.20/2.41 % (3359451)Peak memory usage: 136 MB
% 0.20/2.41 % (3359451)Instructions burned: 1590 (million)
% 0.20/2.41 % (3359451)------------------------------
% 0.20/2.41 % (3359451)------------------------------
% 0.20/2.41 % (3359446)Success in time 1.547 s
% 0.20/2.41 % Vampire exiting
%------------------------------------------------------------------------------