%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : AGT021+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 : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:06:37 AM UTC 2026
% Result : Theorem 3.85s 1.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 36
% Syntax : Number of formulae : 161 ( 57 unt; 8 def)
% Number of atoms : 439 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 472 ( 194 ~; 188 |; 69 &)
% ( 13 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 21 ( 20 usr; 9 prp; 0-4 aty)
% Number of functors : 31 ( 31 usr; 28 con; 0-2 aty)
% Number of variables : 170 ( 0 sgn 168 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2,X3] :
( accept_team(X0,X3,X1,X2)
<=> ( accept_city(X0,X1)
& accept_leader(X0,X3)
& accept_number(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1_1) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( accept_population(X0,X3,X1)
& less(X2,X1) )
=> accept_population(X0,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1_3) ).
fof(f5,axiom,
! [X0,X1,X2] :
( any_agent_in_all_proposed_teams(X0,X1,X2)
=> accept_leader(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1_5) ).
fof(f6,axiom,
! [X0,X1,X2] :
( the_agent_not_in_any_proposed_teams(X0,X1,X2)
=> ~ ( accept_city(X0,X2)
& accept_leader(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1_6) ).
fof(f14,axiom,
! [X0] :
( ( accept_population(X0,atheist,n12)
& accept_population(X0,christian,n3)
& accept_population(X0,muslim,n0)
& accept_population(X0,native,n85)
& accept_population(X0,other,n0) )
<=> accept_city(X0,coastvillage) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_7) ).
fof(f15,axiom,
! [X0] :
( ( accept_population(X0,atheist,n0)
& accept_population(X0,christian,n0)
& accept_population(X0,muslim,n0)
& accept_population(X0,native,n100)
& accept_population(X0,other,n0) )
<=> accept_city(X0,sunsetpoint) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_8) ).
fof(f16,axiom,
! [X0] :
( ( accept_population(X0,atheist,n75)
& accept_population(X0,christian,n24)
& accept_population(X0,muslim,n1)
& accept_population(X0,native,n0)
& accept_population(X0,other,n0) )
<=> accept_city(X0,towna) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_9) ).
fof(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(f47,axiom,
accept_team(countryamedicalorganization,countryacivilorganization,towna,n6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_27) ).
fof(f57,axiom,
the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_37) ).
fof(f58,axiom,
any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_38) ).
fof(f146,axiom,
accept_team(countryamedicalorganization,countryahumanitarianorganization,townc,n6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_126) ).
fof(f273,axiom,
rdn_translate(n3,rdn_pos(rdnn(n3))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn3) ).
fof(f282,axiom,
rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn12) ).
fof(f294,axiom,
rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn24) ).
fof(f300,axiom,
rdn_translate(n30,rdn_pos(rdn(rdnn(n0),rdnn(n3)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn30) ).
fof(f355,axiom,
rdn_translate(n85,rdn_pos(rdn(rdnn(n5),rdnn(n8)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn85) ).
fof(f370,axiom,
rdn_translate(n100,rdn_pos(rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn100) ).
fof(f526,axiom,
rdn_non_zero_digit(rdnn(n1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit1) ).
fof(f527,axiom,
rdn_non_zero_digit(rdnn(n2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit2) ).
fof(f536,axiom,
rdn_positive_less(rdnn(n1),rdnn(n2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less12) ).
fof(f537,axiom,
rdn_positive_less(rdnn(n2),rdnn(n3)),
file('/export/starexec/sandbox2/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/sandbox2/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/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,
? [X0] : ~ accept_city(X0,sunsetpoint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query_21) ).
fof(f557,negated_conjecture,
~ ? [X0] : ~ accept_city(X0,sunsetpoint),
inference(negated_conjecture,[status(cth)],[f556]) ).
fof(f564,plain,
! [X0,X1,X2,X3] :
( accept_population(X0,X3,X2)
| ~ accept_population(X0,X3,X1)
| ~ less(X2,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f565,plain,
! [X0,X1,X2,X3] :
( accept_population(X0,X3,X2)
| ~ accept_population(X0,X3,X1)
| ~ less(X2,X1) ),
inference(flattening,[],[f564]) ).
fof(f567,plain,
! [X0,X1,X2] :
( accept_leader(X0,X1)
| ~ any_agent_in_all_proposed_teams(X0,X1,X2) ),
inference(ennf_transformation,[],[f5]) ).
fof(f568,plain,
! [X0,X1,X2] :
( ~ accept_city(X0,X2)
| ~ accept_leader(X0,X1)
| ~ the_agent_not_in_any_proposed_teams(X0,X1,X2) ),
inference(ennf_transformation,[],[f6]) ).
fof(f569,plain,
! [X0,X1,X2] :
( ~ accept_city(X0,X2)
| ~ accept_leader(X0,X1)
| ~ the_agent_not_in_any_proposed_teams(X0,X1,X2) ),
inference(flattening,[],[f568]) ).
fof(f570,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2)) ),
inference(ennf_transformation,[],[f544]) ).
fof(f571,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2)) ),
inference(flattening,[],[f570]) ).
fof(f572,plain,
! [X0,X1,X2,X3] :
( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3))
| ~ rdn_positive_less(X1,X3) ),
inference(ennf_transformation,[],[f545]) ).
fof(f575,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2))
| ~ rdn_non_zero(X2) ),
inference(ennf_transformation,[],[f547]) ).
fof(f576,plain,
! [X0] :
( rdn_non_zero(rdnn(X0))
| ~ rdn_non_zero_digit(rdnn(X0)) ),
inference(ennf_transformation,[],[f548]) ).
fof(f578,plain,
! [X0,X1,X2,X3] :
( less(X0,X1)
| ~ rdn_translate(X0,rdn_pos(X2))
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_positive_less(X2,X3) ),
inference(ennf_transformation,[],[f550]) ).
fof(f579,plain,
! [X0,X1,X2,X3] :
( less(X0,X1)
| ~ rdn_translate(X0,rdn_pos(X2))
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_positive_less(X2,X3) ),
inference(flattening,[],[f578]) ).
fof(f584,plain,
! [X0] : accept_city(X0,sunsetpoint),
inference(ennf_transformation,[],[f557]) ).
fof(f585,plain,
! [X0,X1,X2,X3] :
( ( accept_team(X0,X3,X1,X2)
| ~ accept_city(X0,X1)
| ~ accept_leader(X0,X3)
| ~ accept_number(X0,X2) )
& ( ( accept_city(X0,X1)
& accept_leader(X0,X3)
& accept_number(X0,X2) )
| ~ accept_team(X0,X3,X1,X2) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f586,plain,
! [X0,X1,X2,X3] :
( ( accept_team(X0,X3,X1,X2)
| ~ accept_city(X0,X1)
| ~ accept_leader(X0,X3)
| ~ accept_number(X0,X2) )
& ( ( accept_city(X0,X1)
& accept_leader(X0,X3)
& accept_number(X0,X2) )
| ~ accept_team(X0,X3,X1,X2) ) ),
inference(flattening,[],[f585]) ).
fof(f599,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n12)
& accept_population(X0,christian,n3)
& accept_population(X0,muslim,n0)
& accept_population(X0,native,n85)
& accept_population(X0,other,n0) )
| ~ accept_city(X0,coastvillage) )
& ( accept_city(X0,coastvillage)
| ~ accept_population(X0,atheist,n12)
| ~ accept_population(X0,christian,n3)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,native,n85)
| ~ accept_population(X0,other,n0) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f600,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n12)
& accept_population(X0,christian,n3)
& accept_population(X0,muslim,n0)
& accept_population(X0,native,n85)
& accept_population(X0,other,n0) )
| ~ accept_city(X0,coastvillage) )
& ( accept_city(X0,coastvillage)
| ~ accept_population(X0,atheist,n12)
| ~ accept_population(X0,christian,n3)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,native,n85)
| ~ accept_population(X0,other,n0) ) ),
inference(flattening,[],[f599]) ).
fof(f601,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n0)
& accept_population(X0,christian,n0)
& accept_population(X0,muslim,n0)
& accept_population(X0,native,n100)
& accept_population(X0,other,n0) )
| ~ accept_city(X0,sunsetpoint) )
& ( accept_city(X0,sunsetpoint)
| ~ accept_population(X0,atheist,n0)
| ~ accept_population(X0,christian,n0)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,native,n100)
| ~ accept_population(X0,other,n0) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f602,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n0)
& accept_population(X0,christian,n0)
& accept_population(X0,muslim,n0)
& accept_population(X0,native,n100)
& accept_population(X0,other,n0) )
| ~ accept_city(X0,sunsetpoint) )
& ( accept_city(X0,sunsetpoint)
| ~ accept_population(X0,atheist,n0)
| ~ accept_population(X0,christian,n0)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,native,n100)
| ~ accept_population(X0,other,n0) ) ),
inference(flattening,[],[f601]) ).
fof(f603,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n75)
& accept_population(X0,christian,n24)
& accept_population(X0,muslim,n1)
& accept_population(X0,native,n0)
& accept_population(X0,other,n0) )
| ~ accept_city(X0,towna) )
& ( accept_city(X0,towna)
| ~ accept_population(X0,atheist,n75)
| ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,other,n0) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f604,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n75)
& accept_population(X0,christian,n24)
& accept_population(X0,muslim,n1)
& accept_population(X0,native,n0)
& accept_population(X0,other,n0) )
| ~ accept_city(X0,towna) )
& ( accept_city(X0,towna)
| ~ accept_population(X0,atheist,n75)
| ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,other,n0) ) ),
inference(flattening,[],[f603]) ).
fof(f611,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n30)
& accept_population(X0,christian,n0)
& accept_population(X0,muslim,n65)
& accept_population(X0,native,n0)
& accept_population(X0,other,n5) )
| ~ accept_city(X0,townc) )
& ( accept_city(X0,townc)
| ~ accept_population(X0,atheist,n30)
| ~ accept_population(X0,christian,n0)
| ~ accept_population(X0,muslim,n65)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,other,n5) ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f612,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n30)
& accept_population(X0,christian,n0)
& accept_population(X0,muslim,n65)
& accept_population(X0,native,n0)
& accept_population(X0,other,n5) )
| ~ accept_city(X0,townc) )
& ( accept_city(X0,townc)
| ~ accept_population(X0,atheist,n30)
| ~ accept_population(X0,christian,n0)
| ~ accept_population(X0,muslim,n65)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,other,n5) ) ),
inference(flattening,[],[f611]) ).
fof(f617,plain,
! [X2,X3,X0,X1] :
( ~ accept_team(X0,X3,X1,X2)
| accept_city(X0,X1) ),
inference(cnf_transformation,[],[f586]) ).
fof(f620,plain,
! [X2,X3,X0,X1] :
( ~ accept_population(X0,X3,X1)
| accept_population(X0,X3,X2)
| ~ less(X2,X1) ),
inference(cnf_transformation,[],[f565]) ).
fof(f623,plain,
! [X2,X0,X1] :
( ~ any_agent_in_all_proposed_teams(X0,X1,X2)
| accept_leader(X0,X1) ),
inference(cnf_transformation,[],[f567]) ).
fof(f624,plain,
! [X2,X0,X1] :
( ~ the_agent_not_in_any_proposed_teams(X0,X1,X2)
| ~ accept_leader(X0,X1)
| ~ accept_city(X0,X2) ),
inference(cnf_transformation,[],[f569]) ).
fof(f661,plain,
! [X0] :
( ~ accept_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(f668,plain,
! [X0] :
( accept_population(X0,other,n0)
| ~ accept_city(X0,sunsetpoint) ),
inference(cnf_transformation,[],[f602]) ).
fof(f669,plain,
! [X0] :
( accept_population(X0,native,n100)
| ~ accept_city(X0,sunsetpoint) ),
inference(cnf_transformation,[],[f602]) ).
fof(f670,plain,
! [X0] :
( accept_population(X0,muslim,n0)
| ~ accept_city(X0,sunsetpoint) ),
inference(cnf_transformation,[],[f602]) ).
fof(f677,plain,
! [X0] :
( accept_population(X0,christian,n24)
| ~ accept_city(X0,towna) ),
inference(cnf_transformation,[],[f604]) ).
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(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(f1037,plain,
rdn_translate(n85,rdn_pos(rdn(rdnn(n5),rdnn(n8)))),
inference(cnf_transformation,[],[f355]) ).
fof(f1052,plain,
rdn_translate(n100,rdn_pos(rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1))))),
inference(cnf_transformation,[],[f370]) ).
fof(f1208,plain,
rdn_non_zero_digit(rdnn(n1)),
inference(cnf_transformation,[],[f526]) ).
fof(f1209,plain,
rdn_non_zero_digit(rdnn(n2)),
inference(cnf_transformation,[],[f527]) ).
fof(f1218,plain,
rdn_positive_less(rdnn(n1),rdnn(n2)),
inference(cnf_transformation,[],[f536]) ).
fof(f1219,plain,
rdn_positive_less(rdnn(n2),rdnn(n3)),
inference(cnf_transformation,[],[f537]) ).
fof(f1226,plain,
! [X2,X0,X1] :
( ~ rdn_positive_less(rdnn(X1),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1))
| rdn_positive_less(rdnn(X0),rdnn(X2)) ),
inference(cnf_transformation,[],[f571]) ).
fof(f1227,plain,
! [X2,X3,X0,X1] :
( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3))
| ~ rdn_positive_less(X1,X3) ),
inference(cnf_transformation,[],[f572]) ).
fof(f1229,plain,
! [X2,X0,X1] :
( rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2))
| ~ rdn_non_zero(X2) ),
inference(cnf_transformation,[],[f575]) ).
fof(f1230,plain,
! [X0] :
( ~ rdn_non_zero_digit(rdnn(X0))
| rdn_non_zero(rdnn(X0)) ),
inference(cnf_transformation,[],[f576]) ).
fof(f1232,plain,
! [X2,X3,X0,X1] :
( ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_translate(X0,rdn_pos(X2))
| less(X0,X1)
| ~ rdn_positive_less(X2,X3) ),
inference(cnf_transformation,[],[f579]) ).
fof(f1238,plain,
! [X0] : accept_city(X0,sunsetpoint),
inference(cnf_transformation,[],[f584]) ).
fof(f1240,plain,
! [X0] : accept_population(X0,other,n0),
inference(forward_subsumption_resolution,[],[f668,f1238]) ).
fof(f1241,plain,
! [X0] : accept_population(X0,native,n100),
inference(forward_subsumption_resolution,[],[f669,f1238]) ).
fof(f1242,plain,
! [X0] : accept_population(X0,muslim,n0),
inference(forward_subsumption_resolution,[],[f670,f1238]) ).
fof(f1247,plain,
rdn_non_zero(rdnn(n2)),
inference(resolution,[],[f1230,f1209]) ).
fof(f1257,plain,
! [X0,X1] :
( accept_population(X0,native,X1)
| ~ less(X1,n100) ),
inference(resolution,[],[f620,f1241]) ).
fof(f1268,plain,
! [X0,X1] :
( accept_population(X0,atheist,X1)
| ~ accept_city(X0,townc)
| ~ less(X1,n30) ),
inference(resolution,[],[f702,f620]) ).
fof(f1286,plain,
rdn_non_zero(rdnn(n1)),
inference(resolution,[],[f1208,f1230]) ).
fof(f1287,plain,
! [X0,X1] :
( ~ rdn_positive_less(X1,rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1))))
| less(X0,n100)
| ~ rdn_translate(X0,rdn_pos(X1)) ),
inference(resolution,[],[f1052,f1232]) ).
fof(f1321,plain,
( ~ accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization)
| ~ accept_city(countryamedicalorganization,coastvillage) ),
inference(resolution,[],[f739,f624]) ).
fof(f1323,definition,
( spl0_5
<=> accept_city(countryamedicalorganization,coastvillage) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f1325,plain,
( ~ accept_city(countryamedicalorganization,coastvillage)
| spl0_5 ),
inference(avatar_component_clause,[],[f1323]) ).
fof(f1327,definition,
( spl0_6
<=> accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f1330,plain,
( ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f1321,f1327,f1323]) ).
fof(f1332,plain,
! [X0] :
( ~ rdn_positive_less(rdnn(X0),rdnn(n2))
| rdn_positive_less(rdnn(X0),rdnn(n3)) ),
inference(resolution,[],[f1219,f1226]) ).
fof(f1340,plain,
rdn_positive_less(rdnn(n1),rdnn(n3)),
inference(resolution,[],[f1218,f1332]) ).
fof(f1432,plain,
! [X2,X0,X1] :
( ~ rdn_positive_less(X0,rdn(rdnn(n0),rdnn(n1)))
| less(X1,n100)
| ~ rdn_translate(X1,rdn_pos(rdn(rdnn(X2),X0))) ),
inference(resolution,[],[f1227,f1287]) ).
fof(f1444,plain,
! [X0,X1] :
( accept_population(X0,christian,X1)
| ~ accept_city(X0,towna)
| ~ less(X1,n24) ),
inference(resolution,[],[f677,f620]) ).
fof(f1449,plain,
! [X0] :
( ~ 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(resolution,[],[f661,f1240]) ).
fof(f1453,plain,
! [X0] :
( ~ accept_population(X0,native,n85)
| ~ accept_population(X0,christian,n3)
| ~ accept_population(X0,atheist,n12)
| accept_city(X0,coastvillage) ),
inference(forward_subsumption_resolution,[],[f1449,f1242]) ).
fof(f1468,plain,
! [X0] :
( ~ accept_population(X0,christian,n3)
| ~ accept_population(X0,atheist,n12)
| accept_city(X0,coastvillage)
| ~ less(n85,n100) ),
inference(resolution,[],[f1453,f1257]) ).
fof(f1470,definition,
( spl0_21
<=> less(n85,n100) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f1472,plain,
( ~ less(n85,n100)
| spl0_21 ),
inference(avatar_component_clause,[],[f1470]) ).
fof(f1474,definition,
( spl0_22
<=> ! [X0] :
( ~ accept_population(X0,christian,n3)
| accept_city(X0,coastvillage)
| ~ accept_population(X0,atheist,n12) ) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f1475,plain,
( ! [X0] :
( ~ accept_population(X0,christian,n3)
| accept_city(X0,coastvillage)
| ~ accept_population(X0,atheist,n12) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f1474]) ).
fof(f1476,plain,
( ~ spl0_21
| spl0_22 ),
inference(avatar_split_clause,[],[f1468,f1474,f1470]) ).
fof(f1493,plain,
! [X2,X0,X1] :
( less(X0,n100)
| ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(X2))))
| ~ rdn_non_zero(rdnn(n1)) ),
inference(resolution,[],[f1432,f1229]) ).
fof(f1497,plain,
! [X2,X0,X1] :
( ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(X2))))
| less(X0,n100) ),
inference(forward_subsumption_resolution,[],[f1493,f1286]) ).
fof(f1514,plain,
accept_city(countryamedicalorganization,townc),
inference(resolution,[],[f828,f617]) ).
fof(f1543,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(f1544,plain,
! [X0,X1] :
( less(X0,n24)
| ~ rdn_translate(X0,rdn_pos(rdnn(X1)))
| ~ rdn_non_zero(rdnn(n2)) ),
inference(resolution,[],[f1543,f1229]) ).
fof(f1548,plain,
! [X0,X1] :
( ~ rdn_translate(X0,rdn_pos(rdnn(X1)))
| less(X0,n24) ),
inference(forward_subsumption_resolution,[],[f1544,f1247]) ).
fof(f1642,plain,
accept_city(countryamedicalorganization,towna),
inference(resolution,[],[f729,f617]) ).
fof(f1762,plain,
accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization),
inference(resolution,[],[f740,f623]) ).
fof(f1763,plain,
spl0_6,
inference(avatar_split_clause,[],[f1762,f1327]) ).
fof(f1764,plain,
less(n85,n100),
inference(resolution,[],[f1037,f1497]) ).
fof(f1767,plain,
( $false
| spl0_21 ),
inference(forward_subsumption_resolution,[],[f1764,f1472]) ).
fof(f1768,plain,
spl0_21,
inference(avatar_contradiction_clause,[],[f1767]) ).
fof(f1770,plain,
( ! [X0] :
( accept_city(X0,coastvillage)
| ~ accept_population(X0,atheist,n12)
| ~ accept_city(X0,towna)
| ~ less(n3,n24) )
| ~ spl0_22 ),
inference(resolution,[],[f1475,f1444]) ).
fof(f1791,definition,
( spl0_51
<=> less(n3,n24) ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
fof(f1793,plain,
( ~ less(n3,n24)
| spl0_51 ),
inference(avatar_component_clause,[],[f1791]) ).
fof(f1795,definition,
( spl0_52
<=> ! [X0] :
( accept_city(X0,coastvillage)
| ~ accept_city(X0,towna)
| ~ accept_population(X0,atheist,n12) ) ),
introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).
fof(f1796,plain,
( ! [X0] :
( ~ accept_population(X0,atheist,n12)
| ~ accept_city(X0,towna)
| accept_city(X0,coastvillage) )
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f1795]) ).
fof(f1797,plain,
( ~ spl0_51
| spl0_52
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f1770,f1474,f1795,f1791]) ).
fof(f1904,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(f1916,plain,
! [X2,X0,X1] :
( ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),X2)))
| less(X0,n30)
| ~ rdn_positive_less(X2,rdnn(n3)) ),
inference(resolution,[],[f1904,f1227]) ).
fof(f2138,plain,
less(n3,n24),
inference(resolution,[],[f955,f1548]) ).
fof(f2152,plain,
( $false
| spl0_51 ),
inference(forward_subsumption_resolution,[],[f2138,f1793]) ).
fof(f2153,plain,
spl0_51,
inference(avatar_contradiction_clause,[],[f2152]) ).
fof(f2158,plain,
( ! [X0] :
( ~ accept_city(X0,towna)
| accept_city(X0,coastvillage)
| ~ accept_city(X0,townc)
| ~ less(n12,n30) )
| ~ spl0_52 ),
inference(resolution,[],[f1796,f1268]) ).
fof(f2170,definition,
( spl0_81
<=> less(n12,n30) ),
introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).
fof(f2172,plain,
( ~ less(n12,n30)
| spl0_81 ),
inference(avatar_component_clause,[],[f2170]) ).
fof(f2174,definition,
( spl0_82
<=> ! [X0] :
( ~ accept_city(X0,towna)
| ~ accept_city(X0,townc)
| accept_city(X0,coastvillage) ) ),
introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).
fof(f2175,plain,
( ! [X0] :
( ~ accept_city(X0,townc)
| ~ accept_city(X0,towna)
| accept_city(X0,coastvillage) )
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f2174]) ).
fof(f2176,plain,
( ~ spl0_81
| spl0_82
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f2158,f1795,f2174,f2170]) ).
fof(f2776,plain,
( less(n12,n30)
| ~ rdn_positive_less(rdnn(n1),rdnn(n3)) ),
inference(resolution,[],[f964,f1916]) ).
fof(f2785,plain,
( ~ rdn_positive_less(rdnn(n1),rdnn(n3))
| spl0_81 ),
inference(forward_subsumption_resolution,[],[f2776,f2172]) ).
fof(f2793,plain,
( $false
| spl0_81 ),
inference(forward_subsumption_resolution,[],[f2785,f1340]) ).
fof(f2794,plain,
spl0_81,
inference(avatar_contradiction_clause,[],[f2793]) ).
fof(f2797,plain,
( ~ accept_city(countryamedicalorganization,towna)
| accept_city(countryamedicalorganization,coastvillage)
| ~ spl0_82 ),
inference(resolution,[],[f2175,f1514]) ).
fof(f2798,plain,
( accept_city(countryamedicalorganization,coastvillage)
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[],[f2797,f1642]) ).
fof(f2799,plain,
( $false
| spl0_5
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[],[f2798,f1325]) ).
fof(f2800,plain,
( spl0_5
| ~ spl0_82 ),
inference(avatar_contradiction_clause,[],[f2799]) ).
cnf(s3,plain,
( ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f1330]) ).
cnf(s12,plain,
( ~ spl0_21
| spl0_22 ),
inference(sat_conversion,[],[f1476]) ).
cnf(s27,plain,
spl0_6,
inference(sat_conversion,[],[f1763]) ).
cnf(s28,plain,
spl0_21,
inference(sat_conversion,[],[f1768]) ).
cnf(s31,plain,
( ~ spl0_22
| ~ spl0_51
| spl0_52 ),
inference(sat_conversion,[],[f1797]) ).
cnf(s54,plain,
spl0_51,
inference(sat_conversion,[],[f2153]) ).
cnf(s56,plain,
( ~ spl0_52
| ~ spl0_81
| spl0_82 ),
inference(sat_conversion,[],[f2176]) ).
cnf(s105,plain,
spl0_81,
inference(sat_conversion,[],[f2794]) ).
cnf(s106,plain,
( spl0_5
| ~ spl0_82 ),
inference(sat_conversion,[],[f2800]) ).
cnf(s107,plain,
( ~ spl0_52
| spl0_82 ),
inference(rat,[],[s56,s105]) ).
cnf(s109,plain,
( ~ spl0_22
| spl0_52 ),
inference(rat,[],[s31,s54]) ).
cnf(s113,plain,
spl0_22,
inference(rat,[],[s12,s28]) ).
cnf(s114,plain,
spl0_52,
inference(rat,[],[s109,s113]) ).
cnf(s116,plain,
spl0_82,
inference(rat,[],[s107,s114]) ).
cnf(s117,plain,
spl0_5,
inference(rat,[],[s106,s116]) ).
cnf(s120,plain,
$false,
inference(rat,[],[s3,s27,s117]) ).
fof(f2801,plain,
$false,
inference(avatar_sat_refutation,[],[s120]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : AGT021+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n013.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 19:13:05 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.85/1.51 % (1464908)Detected formulas, will run a generic FOF schedule.
% 3.85/1.51 % (1464913)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=364602613:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.85/1.51 % (1464917)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=579521355:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.85/1.51 % (1464916)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1570131683:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.85/1.51 % (1464919)dis-21_1_sil=8000:lcm=predicate:random_seed=1505506178:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.85/1.51 % (1464914)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=1750994309:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.85/1.51 % (1464918)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3865797659:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.85/1.51 % (1464915)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=3412641352:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.85/1.51 % (1464917)Refutation not found, incomplete strategy
% 3.85/1.51 % (1464917)------------------------------
% 3.85/1.51 % (1464917)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.51 % (1464916)Refutation not found, incomplete strategy
% 3.85/1.51 % (1464916)------------------------------
% 3.85/1.51 % (1464916)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.51 % (1464916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.51 % (1464917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.51 % (1464916)CaDiCaL version: 2.1.3
% 3.85/1.51 % (1464917)CaDiCaL version: 2.1.3
% 3.85/1.51 % (1464916)Termination reason: Refutation not found, incomplete strategy
% 3.85/1.51 % (1464916)Time elapsed: 0.002 s
% 3.85/1.51 % (1464917)Termination reason: Refutation not found, incomplete strategy
% 3.85/1.51 % (1464917)Time elapsed: 0.002 s
% 3.85/1.51 % (1464916)Peak memory usage: 87 MB
% 3.85/1.51 % (1464917)Peak memory usage: 87 MB
% 3.85/1.51 % (1464916)Instructions burned: 2 (million)
% 3.85/1.51 % (1464917)Instructions burned: 2 (million)
% 3.85/1.51 % (1464919)Instruction limit reached!
% 3.85/1.51 % (1464919)------------------------------
% 3.85/1.51 % (1464919)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.51 % (1464919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.51 % (1464919)CaDiCaL version: 2.1.3
% 3.85/1.51 % (1464919)Termination reason: Instruction limit
% 3.85/1.51 % (1464919)Termination phase: Saturation
% 3.85/1.51 % (1464919)Time elapsed: 0.069 s
% 3.85/1.51 % (1464919)Peak memory usage: 91 MB
% 3.85/1.51 % (1464919)Instructions burned: 130 (million)
% 3.85/1.51 % (1464918)Instruction limit reached!
% 3.85/1.51 % (1464918)------------------------------
% 3.85/1.51 % (1464918)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.51 % (1464918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.51 % (1464918)CaDiCaL version: 2.1.3
% 3.85/1.51 % (1464918)Termination reason: Instruction limit
% 3.85/1.51 % (1464918)Termination phase: Saturation
% 3.85/1.51 % (1464918)Time elapsed: 0.087 s
% 3.85/1.51 % (1464918)Peak memory usage: 90 MB
% 3.85/1.51 % (1464918)Instructions burned: 140 (million)
% 3.85/1.51 % (1464917)------------------------------
% 3.85/1.51 % (1464917)------------------------------
% 3.85/1.51 % (1464927)lrs+10_1_sil=8000:sp=occurrence:random_seed=3369529085:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.85/1.51 % (1464928)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1325317329:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.85/1.51 % (1464916)------------------------------
% 3.85/1.51 % (1464916)------------------------------
% 3.85/1.51 % (1464927)Refutation not found, incomplete strategy
% 3.85/1.51 % (1464927)------------------------------
% 3.85/1.51 % (1464927)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.51 % (1464927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.51 % (1464927)CaDiCaL version: 2.1.3
% 3.85/1.51 % (1464927)Termination reason: Refutation not found, incomplete strategy
% 3.85/1.51 % (1464927)Time elapsed: 0.002 s
% 3.85/1.51 % (1464927)Peak memory usage: 88 MB
% 3.85/1.51 % (1464927)Instructions burned: 2 (million)
% 3.85/1.51 % (1464928)Refutation not found, incomplete strategy
% 3.85/1.51 % (1464928)------------------------------
% 3.85/1.51 % (1464928)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.51 % (1464928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.51 % (1464928)CaDiCaL version: 2.1.3
% 3.85/1.51 % (1464928)Termination reason: Refutation not found, incomplete strategy
% 3.85/1.51 % (1464928)Time elapsed: 0.004 s
% 3.85/1.51 % (1464928)Peak memory usage: 88 MB
% 3.85/1.51 % (1464928)Instructions burned: 6 (million)
% 3.85/1.51 [W928 19:13:06.334274861 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.85/1.51 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.85/1.51 [W928 19:13:06.334313461 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.85/1.51 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.85/1.51 [W928 19:13:06.334352148 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.85/1.51 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.85/1.51 [W928 19:13:06.334363481 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.85/1.51 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.85/1.51 [W928 19:13:06.334395835 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.85/1.51 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.85/1.51 [W928 19:13:06.334407518 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.85/1.51 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.85/1.51 [W928 19:13:06.334433692 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.85/1.51 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.85/1.51 [W928 19:13:06.334445455 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.85/1.51 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.85/1.51 [W928 19:13:06.334470118 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.85/1.51 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.85/1.51 [W928 19:13:06.334481968 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.85/1.51 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.85/1.51 [W928 19:13:06.334507615 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.85/1.51 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.85/1.51 [W928 19:13:06.334519315 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.85/1.51 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.85/1.51 % (1464931)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3881449693:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 3.85/1.51 % (1464932)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=4010774325:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 3.85/1.51 % (1464931)Refutation not found, incomplete strategy
% 3.85/1.51 % (1464931)------------------------------
% 3.85/1.51 % (1464931)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.51 % (1464931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.51 % (1464931)CaDiCaL version: 2.1.3
% 3.85/1.51 % (1464931)Termination reason: Refutation not found, incomplete strategy
% 3.85/1.51 % (1464931)Time elapsed: 0.004 s
% 3.85/1.51 % (1464931)Peak memory usage: 88 MB
% 3.85/1.51 % (1464931)Instructions burned: 5 (million)
% 3.85/1.51 % (1464913)First to succeed.
% 3.85/1.51 % (1464913)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1464908"
% 3.85/1.51 % (1464928)------------------------------
% 3.85/1.51 % (1464928)------------------------------
% 3.85/1.51 % (1464927)------------------------------
% 3.85/1.51 % (1464927)------------------------------
% 3.85/1.51 % (1464932)Instruction limit reached!
% 3.85/1.51 % (1464932)------------------------------
% 3.85/1.51 % (1464932)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.51 % (1464932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.51 % (1464932)CaDiCaL version: 2.1.3
% 3.85/1.51 % (1464932)Termination reason: Instruction limit
% 3.85/1.51 % (1464932)Termination phase: Saturation
% 3.85/1.51 % (1464932)Time elapsed: 0.113 s
% 3.85/1.51 % (1464932)Peak memory usage: 94 MB
% 3.85/1.51 % (1464932)Instructions burned: 249 (million)
% 3.85/1.51 % (1464914)Refutation not found, incomplete strategy
% 3.85/1.51 % (1464914)------------------------------
% 3.85/1.51 % (1464914)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.51 % (1464914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.51 % (1464914)CaDiCaL version: 2.1.3
% 3.85/1.51 % (1464914)Termination reason: Refutation not found, incomplete strategy
% 3.85/1.51 % (1464914)Time elapsed: 0.559 s
% 3.85/1.51 % (1464914)Peak memory usage: 128 MB
% 3.85/1.51 % (1464914)Instructions burned: 836 (million)
% 3.85/1.51 % (1464915)Refutation not found, incomplete strategy
% 3.85/1.51 % (1464915)------------------------------
% 3.85/1.51 % (1464915)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.51 % (1464915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.51 % (1464915)CaDiCaL version: 2.1.3
% 3.85/1.51 % (1464915)Termination reason: Refutation not found, incomplete strategy
% 3.85/1.51 % (1464915)Time elapsed: 0.622 s
% 3.85/1.51 % (1464915)Peak memory usage: 128 MB
% 3.85/1.51 % (1464915)Instructions burned: 906 (million)
% 3.85/1.51 % (1464913)Refutation found. Thanks to Tanya!
% 3.85/1.51 % SZS status Theorem for theBenchmark
% 3.85/1.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.70 % (1464913)------------------------------
% 0.19/1.70 % (1464913)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.70 % (1464913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.70 % (1464913)CaDiCaL version: 2.1.3
% 0.19/1.70 % (1464913)Termination reason: Refutation
% 0.19/1.70 % (1464913)Time elapsed: 0.532 s
% 0.19/1.70 % (1464913)Peak memory usage: 136 MB
% 0.19/1.70 % (1464913)Instructions burned: 1314 (million)
% 0.19/1.70 % (1464913)------------------------------
% 0.19/1.70 % (1464913)------------------------------
% 0.19/1.70 % (1464908)Success in time 0.836 s
% 0.19/1.70 % Vampire exiting
%------------------------------------------------------------------------------