%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : AGT008+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 : n007.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 09:06:33 AM UTC 2026
% Result : Theorem 7.57s 2.00s
% Output : Refutation 9.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 34
% Syntax : Number of formulae : 151 ( 52 unt; 6 def)
% Number of atoms : 439 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 495 ( 207 ~; 200 |; 69 &)
% ( 11 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 19 ( 18 usr; 7 prp; 0-4 aty)
% Number of functors : 31 ( 31 usr; 28 con; 0-2 aty)
% Number of variables : 163 ( 0 sgn 163 !; 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(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(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(f34,axiom,
accept_team(countryamedicalorganization,countryacivilorganization,cityb,n6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_14) ).
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(f290,axiom,
rdn_translate(n20,rdn_pos(rdn(rdnn(n0),rdnn(n2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn20) ).
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,
~ accept_team(countryamedicalorganization,countryafirstaidorganization,sunsetpoint,n6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query_8) ).
fof(f557,negated_conjecture,
~ ~ accept_team(countryamedicalorganization,countryafirstaidorganization,sunsetpoint,n6),
inference(negated_conjecture,[status(cth)],[f556]) ).
fof(f558,plain,
accept_team(countryamedicalorganization,countryafirstaidorganization,sunsetpoint,n6),
inference(flattening,[],[f557]) ).
fof(f565,plain,
! [X0,X1,X2,X3] :
( accept_population(X0,X3,X2)
| ~ accept_population(X0,X3,X1)
| ~ less(X2,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f566,plain,
! [X0,X1,X2,X3] :
( accept_population(X0,X3,X2)
| ~ accept_population(X0,X3,X1)
| ~ less(X2,X1) ),
inference(flattening,[],[f565]) ).
fof(f568,plain,
! [X0,X1,X2] :
( accept_leader(X0,X1)
| ~ any_agent_in_all_proposed_teams(X0,X1,X2) ),
inference(ennf_transformation,[],[f5]) ).
fof(f569,plain,
! [X0,X1,X2] :
( ~ accept_city(X0,X2)
| ~ accept_leader(X0,X1)
| ~ the_agent_not_in_any_proposed_teams(X0,X1,X2) ),
inference(ennf_transformation,[],[f6]) ).
fof(f570,plain,
! [X0,X1,X2] :
( ~ accept_city(X0,X2)
| ~ accept_leader(X0,X1)
| ~ the_agent_not_in_any_proposed_teams(X0,X1,X2) ),
inference(flattening,[],[f569]) ).
fof(f571,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2)) ),
inference(ennf_transformation,[],[f544]) ).
fof(f572,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2)) ),
inference(flattening,[],[f571]) ).
fof(f573,plain,
! [X0,X1,X2,X3] :
( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3))
| ~ rdn_positive_less(X1,X3) ),
inference(ennf_transformation,[],[f545]) ).
fof(f576,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2))
| ~ rdn_non_zero(X2) ),
inference(ennf_transformation,[],[f547]) ).
fof(f577,plain,
! [X0] :
( rdn_non_zero(rdnn(X0))
| ~ rdn_non_zero_digit(rdnn(X0)) ),
inference(ennf_transformation,[],[f548]) ).
fof(f579,plain,
! [X0,X1,X2,X3] :
( less(X0,X1)
| ~ rdn_translate(X0,rdn_pos(X2))
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_positive_less(X2,X3) ),
inference(ennf_transformation,[],[f550]) ).
fof(f580,plain,
! [X0,X1,X2,X3] :
( less(X0,X1)
| ~ rdn_translate(X0,rdn_pos(X2))
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_positive_less(X2,X3) ),
inference(flattening,[],[f579]) ).
fof(f585,plain,
! [X0,X1,X2,X3] :
( ( accept_team(X0,X3,X1,X2)
| ~ accept_city(X0,X1)
| ~ accept_leader(X0,X3)
| ~ accept_number(X0,X2) )
& ( ( accept_city(X0,X1)
& accept_leader(X0,X3)
& accept_number(X0,X2) )
| ~ accept_team(X0,X3,X1,X2) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f586,plain,
! [X0,X1,X2,X3] :
( ( accept_team(X0,X3,X1,X2)
| ~ accept_city(X0,X1)
| ~ accept_leader(X0,X3)
| ~ accept_number(X0,X2) )
& ( ( accept_city(X0,X1)
& accept_leader(X0,X3)
& accept_number(X0,X2) )
| ~ accept_team(X0,X3,X1,X2) ) ),
inference(flattening,[],[f585]) ).
fof(f599,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n12)
& accept_population(X0,christian,n3)
& accept_population(X0,muslim,n0)
& accept_population(X0,native,n85)
& accept_population(X0,other,n0) )
| ~ accept_city(X0,coastvillage) )
& ( accept_city(X0,coastvillage)
| ~ accept_population(X0,atheist,n12)
| ~ accept_population(X0,christian,n3)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,native,n85)
| ~ accept_population(X0,other,n0) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f600,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n12)
& accept_population(X0,christian,n3)
& accept_population(X0,muslim,n0)
& accept_population(X0,native,n85)
& accept_population(X0,other,n0) )
| ~ accept_city(X0,coastvillage) )
& ( accept_city(X0,coastvillage)
| ~ accept_population(X0,atheist,n12)
| ~ accept_population(X0,christian,n3)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,native,n85)
| ~ accept_population(X0,other,n0) ) ),
inference(flattening,[],[f599]) ).
fof(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(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(f617,plain,
! [X2,X3,X0,X1] :
( ~ accept_team(X0,X3,X1,X2)
| accept_city(X0,X1) ),
inference(cnf_transformation,[],[f586]) ).
fof(f620,plain,
! [X2,X3,X0,X1] :
( ~ accept_population(X0,X3,X1)
| accept_population(X0,X3,X2)
| ~ less(X2,X1) ),
inference(cnf_transformation,[],[f566]) ).
fof(f623,plain,
! [X2,X0,X1] :
( ~ any_agent_in_all_proposed_teams(X0,X1,X2)
| accept_leader(X0,X1) ),
inference(cnf_transformation,[],[f568]) ).
fof(f624,plain,
! [X2,X0,X1] :
( ~ the_agent_not_in_any_proposed_teams(X0,X1,X2)
| ~ accept_leader(X0,X1)
| ~ accept_city(X0,X2) ),
inference(cnf_transformation,[],[f570]) ).
fof(f661,plain,
! [X0] :
( ~ accept_population(X0,other,n0)
| ~ accept_population(X0,atheist,n12)
| ~ accept_population(X0,christian,n3)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,native,n85)
| accept_city(X0,coastvillage) ),
inference(cnf_transformation,[],[f600]) ).
fof(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(f695,plain,
! [X0] :
( accept_population(X0,christian,n20)
| ~ accept_city(X0,cityb) ),
inference(cnf_transformation,[],[f610]) ).
fof(f702,plain,
! [X0] :
( accept_population(X0,atheist,n30)
| ~ accept_city(X0,townc) ),
inference(cnf_transformation,[],[f612]) ).
fof(f716,plain,
accept_team(countryamedicalorganization,countryacivilorganization,cityb,n6),
inference(cnf_transformation,[],[f34]) ).
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(f972,plain,
rdn_translate(n20,rdn_pos(rdn(rdnn(n0),rdnn(n2)))),
inference(cnf_transformation,[],[f290]) ).
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,[],[f572]) ).
fof(f1227,plain,
! [X2,X3,X0,X1] :
( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3))
| ~ rdn_positive_less(X1,X3) ),
inference(cnf_transformation,[],[f573]) ).
fof(f1229,plain,
! [X2,X0,X1] :
( rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2))
| ~ rdn_non_zero(X2) ),
inference(cnf_transformation,[],[f576]) ).
fof(f1230,plain,
! [X0] :
( ~ rdn_non_zero_digit(rdnn(X0))
| rdn_non_zero(rdnn(X0)) ),
inference(cnf_transformation,[],[f577]) ).
fof(f1232,plain,
! [X2,X3,X0,X1] :
( ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_translate(X0,rdn_pos(X2))
| less(X0,X1)
| ~ rdn_positive_less(X2,X3) ),
inference(cnf_transformation,[],[f580]) ).
fof(f1238,plain,
accept_team(countryamedicalorganization,countryafirstaidorganization,sunsetpoint,n6),
inference(cnf_transformation,[],[f558]) ).
fof(f1240,plain,
accept_city(countryamedicalorganization,sunsetpoint),
inference(resolution,[],[f617,f1238]) ).
fof(f1244,plain,
( ~ accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization)
| ~ accept_city(countryamedicalorganization,coastvillage) ),
inference(resolution,[],[f739,f624]) ).
fof(f1246,definition,
( spl0_1
<=> accept_city(countryamedicalorganization,coastvillage) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f1248,plain,
( ~ accept_city(countryamedicalorganization,coastvillage)
| spl0_1 ),
inference(avatar_component_clause,[],[f1246]) ).
fof(f1250,definition,
( spl0_2
<=> accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f1253,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f1244,f1250,f1246]) ).
fof(f1265,plain,
accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization),
inference(resolution,[],[f740,f623]) ).
fof(f1266,plain,
spl0_2,
inference(avatar_split_clause,[],[f1265,f1250]) ).
fof(f1269,plain,
accept_city(countryamedicalorganization,cityb),
inference(resolution,[],[f716,f617]) ).
fof(f1276,plain,
accept_city(countryamedicalorganization,townc),
inference(resolution,[],[f828,f617]) ).
fof(f1277,plain,
rdn_non_zero(rdnn(n2)),
inference(resolution,[],[f1230,f1209]) ).
fof(f1283,plain,
rdn_non_zero(rdnn(n1)),
inference(resolution,[],[f1208,f1230]) ).
fof(f1306,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(f1324,plain,
! [X0] :
( ~ rdn_positive_less(rdnn(X0),rdnn(n2))
| rdn_positive_less(rdnn(X0),rdnn(n3)) ),
inference(resolution,[],[f1219,f1226]) ).
fof(f1325,plain,
rdn_positive_less(rdnn(n1),rdnn(n3)),
inference(resolution,[],[f1324,f1218]) ).
fof(f1340,plain,
! [X0,X1] :
( accept_population(X0,native,X1)
| ~ less(X1,n100)
| ~ accept_city(X0,sunsetpoint) ),
inference(resolution,[],[f620,f669]) ).
fof(f1348,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,f1306]) ).
fof(f1353,plain,
! [X0,X1] :
( accept_population(X0,christian,X1)
| ~ accept_city(X0,cityb)
| ~ less(X1,n20) ),
inference(resolution,[],[f695,f620]) ).
fof(f1445,plain,
! [X0,X1] :
( accept_population(X0,atheist,X1)
| ~ accept_city(X0,townc)
| ~ less(X1,n30) ),
inference(resolution,[],[f702,f620]) ).
fof(f1448,plain,
! [X2,X0,X1] :
( less(X0,n100)
| ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(X2))))
| ~ rdn_non_zero(rdnn(n1)) ),
inference(resolution,[],[f1348,f1229]) ).
fof(f1452,plain,
! [X2,X0,X1] :
( ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(X2))))
| less(X0,n100) ),
inference(forward_subsumption_resolution,[],[f1448,f1283]) ).
fof(f1527,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)
| ~ accept_city(X0,sunsetpoint) ),
inference(resolution,[],[f661,f668]) ).
fof(f1531,plain,
! [X0] :
( ~ accept_population(X0,native,n85)
| ~ accept_population(X0,christian,n3)
| ~ accept_population(X0,atheist,n12)
| accept_city(X0,coastvillage)
| ~ accept_city(X0,sunsetpoint) ),
inference(forward_subsumption_resolution,[],[f1527,f670]) ).
fof(f1534,plain,
! [X0] :
( ~ accept_population(X0,christian,n3)
| ~ accept_population(X0,atheist,n12)
| accept_city(X0,coastvillage)
| ~ accept_city(X0,sunsetpoint)
| ~ less(n85,n100)
| ~ accept_city(X0,sunsetpoint) ),
inference(resolution,[],[f1531,f1340]) ).
fof(f1535,plain,
! [X0] :
( ~ accept_population(X0,christian,n3)
| ~ accept_population(X0,atheist,n12)
| accept_city(X0,coastvillage)
| ~ accept_city(X0,sunsetpoint)
| ~ less(n85,n100) ),
inference(duplicate_literal_removal,[],[f1534]) ).
fof(f1537,definition,
( spl0_21
<=> less(n85,n100) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f1539,plain,
( ~ less(n85,n100)
| spl0_21 ),
inference(avatar_component_clause,[],[f1537]) ).
fof(f1541,definition,
( spl0_22
<=> ! [X0] :
( ~ accept_population(X0,christian,n3)
| ~ accept_city(X0,sunsetpoint)
| accept_city(X0,coastvillage)
| ~ accept_population(X0,atheist,n12) ) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f1542,plain,
( ! [X0] :
( ~ accept_population(X0,christian,n3)
| ~ accept_city(X0,sunsetpoint)
| accept_city(X0,coastvillage)
| ~ accept_population(X0,atheist,n12) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f1541]) ).
fof(f1543,plain,
( ~ spl0_21
| spl0_22 ),
inference(avatar_split_clause,[],[f1535,f1541,f1537]) ).
fof(f1560,plain,
! [X0,X1] :
( ~ rdn_positive_less(X1,rdn(rdnn(n0),rdnn(n2)))
| less(X0,n20)
| ~ rdn_translate(X0,rdn_pos(X1)) ),
inference(resolution,[],[f972,f1232]) ).
fof(f1571,plain,
! [X0,X1] :
( less(X0,n20)
| ~ rdn_translate(X0,rdn_pos(rdnn(X1)))
| ~ rdn_non_zero(rdnn(n2)) ),
inference(resolution,[],[f1560,f1229]) ).
fof(f1575,plain,
! [X0,X1] :
( ~ rdn_translate(X0,rdn_pos(rdnn(X1)))
| less(X0,n20) ),
inference(forward_subsumption_resolution,[],[f1571,f1277]) ).
fof(f1589,plain,
less(n3,n20),
inference(resolution,[],[f1575,f955]) ).
fof(f1813,plain,
less(n85,n100),
inference(resolution,[],[f1037,f1452]) ).
fof(f1816,plain,
( $false
| spl0_21 ),
inference(forward_subsumption_resolution,[],[f1813,f1539]) ).
fof(f1817,plain,
spl0_21,
inference(avatar_contradiction_clause,[],[f1816]) ).
fof(f1821,plain,
( ! [X0] :
( ~ accept_city(X0,sunsetpoint)
| accept_city(X0,coastvillage)
| ~ accept_population(X0,atheist,n12)
| ~ accept_city(X0,cityb)
| ~ less(n3,n20) )
| ~ spl0_22 ),
inference(resolution,[],[f1542,f1353]) ).
fof(f1832,plain,
( ! [X0] :
( ~ accept_population(X0,atheist,n12)
| accept_city(X0,coastvillage)
| ~ accept_city(X0,sunsetpoint)
| ~ accept_city(X0,cityb) )
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f1821,f1589]) ).
fof(f1839,plain,
( ! [X0] :
( accept_city(X0,coastvillage)
| ~ accept_city(X0,sunsetpoint)
| ~ accept_city(X0,cityb)
| ~ accept_city(X0,townc)
| ~ less(n12,n30) )
| ~ spl0_22 ),
inference(resolution,[],[f1832,f1445]) ).
fof(f1858,definition,
( spl0_60
<=> less(n12,n30) ),
introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).
fof(f1860,plain,
( ~ less(n12,n30)
| spl0_60 ),
inference(avatar_component_clause,[],[f1858]) ).
fof(f1862,definition,
( spl0_61
<=> ! [X0] :
( accept_city(X0,coastvillage)
| ~ accept_city(X0,townc)
| ~ accept_city(X0,cityb)
| ~ accept_city(X0,sunsetpoint) ) ),
introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).
fof(f1863,plain,
( ! [X0] :
( ~ accept_city(X0,townc)
| accept_city(X0,coastvillage)
| ~ accept_city(X0,cityb)
| ~ accept_city(X0,sunsetpoint) )
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f1862]) ).
fof(f1864,plain,
( ~ spl0_60
| spl0_61
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f1839,f1541,f1862,f1858]) ).
fof(f1956,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(f1968,plain,
! [X2,X0,X1] :
( ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),X2)))
| less(X0,n30)
| ~ rdn_positive_less(X2,rdnn(n3)) ),
inference(resolution,[],[f1956,f1227]) ).
fof(f3107,plain,
( less(n12,n30)
| ~ rdn_positive_less(rdnn(n1),rdnn(n3)) ),
inference(resolution,[],[f964,f1968]) ).
fof(f3119,plain,
( ~ rdn_positive_less(rdnn(n1),rdnn(n3))
| spl0_60 ),
inference(forward_subsumption_resolution,[],[f3107,f1860]) ).
fof(f3129,plain,
( $false
| spl0_60 ),
inference(forward_subsumption_resolution,[],[f3119,f1325]) ).
fof(f3130,plain,
spl0_60,
inference(avatar_contradiction_clause,[],[f3129]) ).
fof(f3163,plain,
( accept_city(countryamedicalorganization,coastvillage)
| ~ accept_city(countryamedicalorganization,cityb)
| ~ accept_city(countryamedicalorganization,sunsetpoint)
| ~ spl0_61 ),
inference(resolution,[],[f1863,f1276]) ).
fof(f3166,plain,
( ~ accept_city(countryamedicalorganization,cityb)
| ~ accept_city(countryamedicalorganization,sunsetpoint)
| spl0_1
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[],[f3163,f1248]) ).
fof(f3168,plain,
( ~ accept_city(countryamedicalorganization,sunsetpoint)
| spl0_1
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[],[f3166,f1269]) ).
fof(f3169,plain,
( $false
| spl0_1
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[],[f3168,f1240]) ).
fof(f3170,plain,
( spl0_1
| ~ spl0_61 ),
inference(avatar_contradiction_clause,[],[f3169]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f1253]) ).
cnf(s2,plain,
spl0_2,
inference(sat_conversion,[],[f1266]) ).
cnf(s14,plain,
( ~ spl0_21
| spl0_22 ),
inference(sat_conversion,[],[f1543]) ).
cnf(s34,plain,
spl0_21,
inference(sat_conversion,[],[f1817]) ).
cnf(s39,plain,
( ~ spl0_22
| ~ spl0_60
| spl0_61 ),
inference(sat_conversion,[],[f1864]) ).
cnf(s112,plain,
spl0_60,
inference(sat_conversion,[],[f3130]) ).
cnf(s115,plain,
( spl0_1
| ~ spl0_61 ),
inference(sat_conversion,[],[f3170]) ).
cnf(s116,plain,
( ~ spl0_22
| spl0_61 ),
inference(rat,[],[s39,s112]) ).
cnf(s122,plain,
spl0_22,
inference(rat,[],[s14,s34]) ).
cnf(s123,plain,
spl0_61,
inference(rat,[],[s116,s122]) ).
cnf(s124,plain,
spl0_1,
inference(rat,[],[s115,s123]) ).
cnf(s126,plain,
$false,
inference(rat,[],[s1,s2,s124]) ).
fof(f3171,plain,
$false,
inference(avatar_sat_refutation,[],[s126]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : AGT008+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n007.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 19:06:41 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 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
% 5.07/1.41 % (2720189)Detected formulas, will run a generic FOF schedule.
% 5.07/1.41 % (2720197)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1520607916:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.07/1.41 % (2720197)Refutation not found, incomplete strategy
% 5.07/1.41 % (2720197)------------------------------
% 5.07/1.41 % (2720197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.07/1.41 % (2720197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.41 % (2720197)CaDiCaL version: 2.1.3
% 5.07/1.41 % (2720197)Termination reason: Refutation not found, incomplete strategy
% 5.07/1.41 % (2720197)Time elapsed: 0.001 s
% 5.07/1.41 % (2720197)Peak memory usage: 87 MB
% 5.07/1.41 % (2720197)Instructions burned: 2 (million)
% 5.07/1.41 % (2720199)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2887431514:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.07/1.41 % (2720198)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=237426438:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.07/1.41 % (2720195)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=3328805149:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.07/1.41 % (2720200)dis-21_1_sil=8000:lcm=predicate:random_seed=3713810004: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)
% 5.07/1.41 % (2720194)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=2107540959:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.07/1.41 % (2720196)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=1148538230:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.07/1.41 % (2720198)Refutation not found, incomplete strategy
% 5.07/1.41 % (2720198)------------------------------
% 5.07/1.41 % (2720198)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.07/1.41 % (2720198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.41 % (2720198)CaDiCaL version: 2.1.3
% 5.07/1.41 % (2720198)Termination reason: Refutation not found, incomplete strategy
% 5.07/1.41 % (2720198)Time elapsed: 0.004 s
% 5.07/1.41 % (2720198)Peak memory usage: 88 MB
% 5.07/1.41 % (2720198)Instructions burned: 6 (million)
% 5.07/1.41 % (2720200)Instruction limit reached!
% 5.07/1.41 % (2720200)------------------------------
% 5.07/1.41 % (2720200)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.07/1.41 % (2720200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.41 % (2720200)CaDiCaL version: 2.1.3
% 5.07/1.41 % (2720200)Termination reason: Instruction limit
% 5.07/1.41 % (2720200)Termination phase: Saturation
% 5.07/1.41 % (2720200)Time elapsed: 0.070 s
% 5.07/1.41 % (2720200)Peak memory usage: 90 MB
% 5.07/1.41 % (2720200)Instructions burned: 129 (million)
% 5.07/1.41 % (2720199)Instruction limit reached!
% 5.07/1.41 % (2720199)------------------------------
% 5.07/1.41 % (2720199)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.07/1.41 % (2720199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.41 % (2720199)CaDiCaL version: 2.1.3
% 5.07/1.41 % (2720199)Termination reason: Instruction limit
% 5.07/1.41 % (2720199)Termination phase: Saturation
% 5.07/1.41 % (2720199)Time elapsed: 0.080 s
% 5.07/1.41 % (2720199)Peak memory usage: 90 MB
% 5.07/1.41 % (2720199)Instructions burned: 140 (million)
% 5.07/1.41 % (2720197)------------------------------
% 5.07/1.41 % (2720197)------------------------------
% 5.07/1.41 % (2720210)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3295658650:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.07/1.41 % (2720210)Refutation not found, incomplete strategy
% 5.07/1.41 % (2720210)------------------------------
% 5.07/1.41 % (2720210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.07/1.41 % (2720210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.41 % (2720210)CaDiCaL version: 2.1.3
% 5.07/1.41 % (2720210)Termination reason: Refutation not found, incomplete strategy
% 5.07/1.41 % (2720210)Time elapsed: 0.001 s
% 5.07/1.41 % (2720210)Peak memory usage: 88 MB
% 6.98/1.78 % (2720210)Instructions burned: 2 (million)
% 6.98/1.78 % (2720209)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2160332049:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.98/1.78 % (2720208)lrs+10_1_sil=8000:sp=occurrence:random_seed=3568806269:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.98/1.78 % (2720209)Refutation not found, incomplete strategy
% 6.98/1.78 % (2720209)------------------------------
% 6.98/1.78 % (2720209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.98/1.78 % (2720208)Refutation not found, incomplete strategy
% 6.98/1.78 % (2720208)------------------------------
% 6.98/1.78 % (2720208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.98/1.78 % (2720208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/1.78 % (2720209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/1.78 % (2720208)CaDiCaL version: 2.1.3
% 6.98/1.78 % (2720208)Termination reason: Refutation not found, incomplete strategy
% 6.98/1.78 % (2720208)Time elapsed: 0.004 s
% 6.98/1.78 % (2720209)CaDiCaL version: 2.1.3
% 6.98/1.78 % (2720208)Peak memory usage: 88 MB
% 6.98/1.78 % (2720208)Instructions burned: 6 (million)
% 6.98/1.78 % (2720209)Termination reason: Refutation not found, incomplete strategy
% 6.98/1.78 % (2720209)Time elapsed: 0.004 s
% 6.98/1.78 % (2720209)Peak memory usage: 88 MB
% 6.98/1.78 % (2720209)Instructions burned: 6 (million)
% 6.98/1.78 % (2720198)------------------------------
% 6.98/1.78 % (2720198)------------------------------
% 6.98/1.78 % (2720210)------------------------------
% 6.98/1.78 % (2720210)------------------------------
% 6.98/1.78 % (2720214)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=3870049211:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.98/1.78 [W928 19:06:42.128852968 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.98/1.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.98/1.78 [W928 19:06:42.128888248 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.98/1.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.98/1.78 [W928 19:06:42.128927112 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.98/1.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.98/1.78 [W928 19:06:42.128939815 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.98/1.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.98/1.78 [W928 19:06:42.128966835 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.98/1.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.98/1.78 [W928 19:06:42.128978218 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.98/1.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.98/1.78 [W928 19:06:42.129015888 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.98/1.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.98/1.78 [W928 19:06:42.129027895 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.
% 7.57/2.00 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.57/2.00 [W928 19:06:42.129055135 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.
% 7.57/2.00 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.57/2.00 [W928 19:06:42.129065592 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.
% 7.57/2.00 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.57/2.00 [W928 19:06:42.129089822 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.
% 7.57/2.00 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.57/2.00 [W928 19:06:42.129099895 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.
% 7.57/2.00 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.57/2.00 % (2720215)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1424697929:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 7.57/2.00 % (2720215)Refutation not found, incomplete strategy
% 7.57/2.00 % (2720215)------------------------------
% 7.57/2.00 % (2720215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.57/2.00 % (2720215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/2.00 % (2720215)CaDiCaL version: 2.1.3
% 7.57/2.00 % (2720215)Termination reason: Refutation not found, incomplete strategy
% 7.57/2.00 % (2720215)Time elapsed: 0.002 s
% 7.57/2.00 % (2720215)Peak memory usage: 88 MB
% 7.57/2.00 % (2720215)Instructions burned: 6 (million)
% 7.57/2.00 % (2720209)------------------------------
% 7.57/2.00 % (2720209)------------------------------
% 7.57/2.00 % (2720208)------------------------------
% 7.57/2.00 % (2720208)------------------------------
% 7.57/2.00 % (2720214)Instruction limit reached!
% 7.57/2.00 % (2720214)------------------------------
% 7.57/2.00 % (2720214)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.57/2.00 % (2720214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/2.00 % (2720214)CaDiCaL version: 2.1.3
% 7.57/2.00 % (2720214)Termination reason: Instruction limit
% 7.57/2.00 % (2720214)Termination phase: Saturation
% 7.57/2.00 % (2720214)Time elapsed: 0.115 s
% 7.57/2.00 % (2720214)Peak memory usage: 94 MB
% 7.57/2.00 % (2720214)Instructions burned: 250 (million)
% 7.57/2.00 % (2720195)Refutation not found, incomplete strategy
% 7.57/2.00 % (2720195)------------------------------
% 7.57/2.00 % (2720195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.57/2.00 % (2720195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/2.00 % (2720195)CaDiCaL version: 2.1.3
% 7.57/2.00 % (2720195)Termination reason: Refutation not found, incomplete strategy
% 7.57/2.00 % (2720195)Time elapsed: 0.560 s
% 7.57/2.00 % (2720195)Peak memory usage: 126 MB
% 7.57/2.00 % (2720195)Instructions burned: 841 (million)
% 7.57/2.00 % (2720219)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4058957868:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 7.57/2.00 % (2720218)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1438238393:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 7.57/2.00 % (2720215)------------------------------
% 7.57/2.00 % (2720215)------------------------------
% 7.57/2.00 % (2720219)Refutation not found, incomplete strategy
% 7.57/2.00 % (2720219)------------------------------
% 7.57/2.00 % (2720219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.57/2.00 % (2720219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/2.00 % (2720219)CaDiCaL version: 2.1.3
% 7.57/2.00 % (2720219)Termination reason: Refutation not found, incomplete strategy
% 7.57/2.00 % (2720219)Time elapsed: 0.003 s
% 7.57/2.00 % (2720219)Peak memory usage: 88 MB
% 7.57/2.00 % (2720219)Instructions burned: 4 (million)
% 7.57/2.00 % (2720196)Refutation not found, incomplete strategy
% 7.57/2.00 % (2720196)------------------------------
% 7.57/2.00 % (2720196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.57/2.00 % (2720196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/2.00 % (2720196)CaDiCaL version: 2.1.3
% 7.57/2.00 % (2720196)Termination reason: Refutation not found, incomplete strategy
% 7.57/2.00 % (2720196)Time elapsed: 0.603 s
% 7.57/2.00 % (2720196)Peak memory usage: 129 MB
% 7.57/2.00 % (2720196)Instructions burned: 895 (million)
% 7.57/2.00 % (2720220)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4233839889:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 7.57/2.00 % (2720223)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1662152854:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 7.57/2.00 % (2720223)Refutation not found, incomplete strategy
% 7.57/2.00 % (2720223)------------------------------
% 7.57/2.00 % (2720223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.57/2.00 % (2720223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/2.00 % (2720223)CaDiCaL version: 2.1.3
% 7.57/2.00 % (2720223)Termination reason: Refutation not found, incomplete strategy
% 7.57/2.00 % (2720223)Time elapsed: 0.004 s
% 7.57/2.00 % (2720223)Peak memory usage: 88 MB
% 7.57/2.00 % (2720223)Instructions burned: 16 (million)
% 7.57/2.00 % (2720220)Instruction limit reached!
% 7.57/2.00 % (2720220)------------------------------
% 7.57/2.00 % (2720220)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.57/2.00 % (2720220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/2.00 % (2720220)CaDiCaL version: 2.1.3
% 7.57/2.00 % (2720220)Termination reason: Instruction limit
% 7.57/2.00 % (2720220)Termination phase: Saturation
% 7.57/2.00 % (2720220)Time elapsed: 0.061 s
% 7.57/2.00 % (2720220)Peak memory usage: 89 MB
% 7.57/2.00 % (2720220)Instructions burned: 128 (million)
% 7.57/2.00 % (2720195)------------------------------
% 7.57/2.00 % (2720195)------------------------------
% 7.57/2.00 % (2720226)lrs+10_1_sil=8000:sp=occurrence:random_seed=686146824:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 7.57/2.00 % (2720226)Refutation not found, incomplete strategy
% 7.57/2.00 % (2720226)------------------------------
% 7.57/2.00 % (2720226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.57/2.00 % (2720226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/2.00 % (2720226)CaDiCaL version: 2.1.3
% 7.57/2.00 % (2720226)Termination reason: Refutation not found, incomplete strategy
% 7.57/2.00 % (2720226)Time elapsed: 0.004 s
% 7.57/2.00 % (2720226)Peak memory usage: 88 MB
% 7.57/2.00 % (2720226)Instructions burned: 6 (million)
% 7.57/2.00 % (2720219)------------------------------
% 7.57/2.00 % (2720219)------------------------------
% 7.57/2.00 % (2720223)------------------------------
% 7.57/2.00 % (2720223)------------------------------
% 7.57/2.00 % (2720196)------------------------------
% 7.57/2.00 % (2720196)------------------------------
% 7.57/2.00 % (2720194)First to succeed.
% 7.57/2.00 % (2720194)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2720189"
% 7.57/2.00 % (2720229)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3246352335:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 7.57/2.00 % (2720228)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1690330022:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 7.57/2.00 % (2720228)Refutation not found, incomplete strategy
% 7.57/2.00 % (2720228)------------------------------
% 7.57/2.00 % (2720228)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.57/2.00 % (2720228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/2.00 % (2720228)CaDiCaL version: 2.1.3
% 7.57/2.00 % (2720228)Termination reason: Refutation not found, incomplete strategy
% 7.57/2.00 % (2720228)Time elapsed: 0.002 s
% 7.57/2.00 % (2720228)Peak memory usage: 88 MB
% 7.57/2.00 % (2720228)Instructions burned: 2 (million)
% 7.57/2.00 % (2720230)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=305413826:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 7.57/2.00 % (2720230)Refutation not found, incomplete strategy
% 7.57/2.00 % (2720230)------------------------------
% 7.57/2.00 % (2720230)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.57/2.00 % (2720230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/2.00 % (2720230)CaDiCaL version: 2.1.3
% 7.57/2.00 % (2720230)Termination reason: Refutation not found, incomplete strategy
% 7.57/2.00 % (2720230)Time elapsed: 0.005 s
% 7.57/2.00 % (2720230)Peak memory usage: 88 MB
% 7.57/2.00 % (2720230)Instructions burned: 6 (million)
% 7.57/2.00 % (2720231)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3765077917:st=8:i=592:sd=3:ep=RST:ss=axioms_2989 on theBenchmark for (2989ds/592Mi)
% 7.57/2.00 % (2720231)Refutation not found, incomplete strategy
% 7.57/2.00 % (2720231)------------------------------
% 7.57/2.00 % (2720231)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.57/2.00 % (2720231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/2.00 % (2720231)CaDiCaL version: 2.1.3
% 7.57/2.00 % (2720231)Termination reason: Refutation not found, incomplete strategy
% 7.57/2.00 % (2720231)Time elapsed: 0.007 s
% 7.57/2.00 % (2720231)Peak memory usage: 88 MB
% 7.57/2.00 % (2720231)Instructions burned: 13 (million)
% 7.57/2.00 % (2720226)------------------------------
% 7.57/2.00 % (2720226)------------------------------
% 7.57/2.00 % (2720194)Refutation found. Thanks to Tanya!
% 7.57/2.00 % SZS status Theorem for theBenchmark
% 7.57/2.00 % SZS output start Proof for theBenchmark
% See solution above
% 9.97/2.20 % (2720194)------------------------------
% 9.97/2.20 % (2720194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.97/2.20 % (2720194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.97/2.20 % (2720194)CaDiCaL version: 2.1.3
% 9.97/2.20 % (2720194)Termination reason: Refutation
% 9.97/2.20 % (2720194)Time elapsed: 0.909 s
% 9.97/2.20 % (2720194)Peak memory usage: 136 MB
% 9.97/2.20 % (2720194)Instructions burned: 1359 (million)
% 9.97/2.20 % (2720194)------------------------------
% 9.97/2.20 % (2720194)------------------------------
% 9.97/2.20 % (2720189)Success in time 1.338 s
% 9.97/2.20 % Vampire exiting
%------------------------------------------------------------------------------