%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : AGT011+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:06:34 AM UTC 2026
% Result : Theorem 5.57s 1.71s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 39
% Syntax : Number of formulae : 168 ( 64 unt; 7 def)
% Number of atoms : 462 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 506 ( 212 ~; 205 |; 69 &)
% ( 12 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 20 ( 19 usr; 8 prp; 0-4 aty)
% Number of functors : 33 ( 33 usr; 30 con; 0-2 aty)
% Number of variables : 161 ( 0 sgn 161 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2,X3] :
( accept_team(X0,X3,X1,X2)
<=> ( accept_city(X0,X1)
& accept_leader(X0,X3)
& accept_number(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_1) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( accept_population(X0,X3,X1)
& less(X2,X1) )
=> accept_population(X0,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_3) ).
fof(f5,axiom,
! [X0,X1,X2] :
( any_agent_in_all_proposed_teams(X0,X1,X2)
=> accept_leader(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_5) ).
fof(f6,axiom,
! [X0,X1,X2] :
( the_agent_not_in_any_proposed_teams(X0,X1,X2)
=> ~ ( accept_city(X0,X2)
& accept_leader(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_6) ).
fof(f14,axiom,
! [X0] :
( ( accept_population(X0,atheist,n12)
& accept_population(X0,christian,n3)
& accept_population(X0,muslim,n0)
& accept_population(X0,native,n85)
& accept_population(X0,other,n0) )
<=> accept_city(X0,coastvillage) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_7) ).
fof(f16,axiom,
! [X0] :
( ( accept_population(X0,atheist,n75)
& accept_population(X0,christian,n24)
& accept_population(X0,muslim,n1)
& accept_population(X0,native,n0)
& accept_population(X0,other,n0) )
<=> accept_city(X0,towna) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_9) ).
fof(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/sandbox/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/sandbox/benchmark/theBenchmark.p',a2_13) ).
fof(f34,axiom,
accept_team(countryamedicalorganization,countryacivilorganization,cityb,n6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_14) ).
fof(f47,axiom,
accept_team(countryamedicalorganization,countryacivilorganization,towna,n6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_27) ).
fof(f57,axiom,
the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_37) ).
fof(f58,axiom,
any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_38) ).
fof(f146,axiom,
accept_team(countryamedicalorganization,countryahumanitarianorganization,townc,n6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_126) ).
fof(f270,axiom,
rdn_translate(n0,rdn_pos(rdnn(n0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn0) ).
fof(f271,axiom,
rdn_translate(n1,rdn_pos(rdnn(n1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn1) ).
fof(f273,axiom,
rdn_translate(n3,rdn_pos(rdnn(n3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn3) ).
fof(f282,axiom,
rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn12) ).
fof(f294,axiom,
rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn24) ).
fof(f300,axiom,
rdn_translate(n30,rdn_pos(rdn(rdnn(n0),rdnn(n3)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn30) ).
fof(f355,axiom,
rdn_translate(n85,rdn_pos(rdn(rdnn(n5),rdnn(n8)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn85) ).
fof(f370,axiom,
rdn_translate(n100,rdn_pos(rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn100) ).
fof(f526,axiom,
rdn_non_zero_digit(rdnn(n1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit1) ).
fof(f527,axiom,
rdn_non_zero_digit(rdnn(n2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit2) ).
fof(f535,axiom,
rdn_positive_less(rdnn(n0),rdnn(n1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less01) ).
fof(f536,axiom,
rdn_positive_less(rdnn(n1),rdnn(n2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less12) ).
fof(f537,axiom,
rdn_positive_less(rdnn(n2),rdnn(n3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less23) ).
fof(f544,axiom,
! [X0,X1,X2] :
( ( rdn_positive_less(rdnn(X0),rdnn(X1))
& rdn_positive_less(rdnn(X1),rdnn(X2)) )
=> rdn_positive_less(rdnn(X0),rdnn(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less_transitivity) ).
fof(f545,axiom,
! [X0,X1,X2,X3] :
( rdn_positive_less(X1,X3)
=> rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less_multi_digit_high) ).
fof(f547,axiom,
! [X0,X1,X2] :
( rdn_non_zero(X2)
=> rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_extra_digits_positive_less) ).
fof(f548,axiom,
! [X0] :
( rdn_non_zero_digit(rdnn(X0))
=> rdn_non_zero(rdnn(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_non_zero_by_digit) ).
fof(f550,axiom,
! [X0,X1,X2,X3] :
( ( rdn_translate(X0,rdn_pos(X2))
& rdn_translate(X1,rdn_pos(X3))
& rdn_positive_less(X2,X3) )
=> less(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_entry_point_pos_pos) ).
fof(f556,conjecture,
~ accept_population(countryamedicalorganization,native,n100),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_11) ).
fof(f557,negated_conjecture,
~ ~ accept_population(countryamedicalorganization,native,n100),
inference(negated_conjecture,[status(cth)],[f556]) ).
fof(f558,plain,
accept_population(countryamedicalorganization,native,n100),
inference(flattening,[],[f557]) ).
fof(f565,plain,
! [X0,X1,X2,X3] :
( accept_population(X0,X3,X2)
| ~ accept_population(X0,X3,X1)
| ~ less(X2,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f566,plain,
! [X0,X1,X2,X3] :
( accept_population(X0,X3,X2)
| ~ accept_population(X0,X3,X1)
| ~ less(X2,X1) ),
inference(flattening,[],[f565]) ).
fof(f568,plain,
! [X0,X1,X2] :
( accept_leader(X0,X1)
| ~ any_agent_in_all_proposed_teams(X0,X1,X2) ),
inference(ennf_transformation,[],[f5]) ).
fof(f569,plain,
! [X0,X1,X2] :
( ~ accept_city(X0,X2)
| ~ accept_leader(X0,X1)
| ~ the_agent_not_in_any_proposed_teams(X0,X1,X2) ),
inference(ennf_transformation,[],[f6]) ).
fof(f570,plain,
! [X0,X1,X2] :
( ~ accept_city(X0,X2)
| ~ accept_leader(X0,X1)
| ~ the_agent_not_in_any_proposed_teams(X0,X1,X2) ),
inference(flattening,[],[f569]) ).
fof(f571,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2)) ),
inference(ennf_transformation,[],[f544]) ).
fof(f572,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2)) ),
inference(flattening,[],[f571]) ).
fof(f573,plain,
! [X0,X1,X2,X3] :
( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3))
| ~ rdn_positive_less(X1,X3) ),
inference(ennf_transformation,[],[f545]) ).
fof(f576,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2))
| ~ rdn_non_zero(X2) ),
inference(ennf_transformation,[],[f547]) ).
fof(f577,plain,
! [X0] :
( rdn_non_zero(rdnn(X0))
| ~ rdn_non_zero_digit(rdnn(X0)) ),
inference(ennf_transformation,[],[f548]) ).
fof(f579,plain,
! [X0,X1,X2,X3] :
( less(X0,X1)
| ~ rdn_translate(X0,rdn_pos(X2))
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_positive_less(X2,X3) ),
inference(ennf_transformation,[],[f550]) ).
fof(f580,plain,
! [X0,X1,X2,X3] :
( less(X0,X1)
| ~ rdn_translate(X0,rdn_pos(X2))
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_positive_less(X2,X3) ),
inference(flattening,[],[f579]) ).
fof(f585,plain,
! [X0,X1,X2,X3] :
( ( accept_team(X0,X3,X1,X2)
| ~ accept_city(X0,X1)
| ~ accept_leader(X0,X3)
| ~ accept_number(X0,X2) )
& ( ( accept_city(X0,X1)
& accept_leader(X0,X3)
& accept_number(X0,X2) )
| ~ accept_team(X0,X3,X1,X2) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f586,plain,
! [X0,X1,X2,X3] :
( ( accept_team(X0,X3,X1,X2)
| ~ accept_city(X0,X1)
| ~ accept_leader(X0,X3)
| ~ accept_number(X0,X2) )
& ( ( accept_city(X0,X1)
& accept_leader(X0,X3)
& accept_number(X0,X2) )
| ~ accept_team(X0,X3,X1,X2) ) ),
inference(flattening,[],[f585]) ).
fof(f599,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n12)
& accept_population(X0,christian,n3)
& accept_population(X0,muslim,n0)
& accept_population(X0,native,n85)
& accept_population(X0,other,n0) )
| ~ accept_city(X0,coastvillage) )
& ( accept_city(X0,coastvillage)
| ~ accept_population(X0,atheist,n12)
| ~ accept_population(X0,christian,n3)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,native,n85)
| ~ accept_population(X0,other,n0) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f600,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n12)
& accept_population(X0,christian,n3)
& accept_population(X0,muslim,n0)
& accept_population(X0,native,n85)
& accept_population(X0,other,n0) )
| ~ accept_city(X0,coastvillage) )
& ( accept_city(X0,coastvillage)
| ~ accept_population(X0,atheist,n12)
| ~ accept_population(X0,christian,n3)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,native,n85)
| ~ accept_population(X0,other,n0) ) ),
inference(flattening,[],[f599]) ).
fof(f603,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n75)
& accept_population(X0,christian,n24)
& accept_population(X0,muslim,n1)
& accept_population(X0,native,n0)
& accept_population(X0,other,n0) )
| ~ accept_city(X0,towna) )
& ( accept_city(X0,towna)
| ~ accept_population(X0,atheist,n75)
| ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,other,n0) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f604,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n75)
& accept_population(X0,christian,n24)
& accept_population(X0,muslim,n1)
& accept_population(X0,native,n0)
& accept_population(X0,other,n0) )
| ~ accept_city(X0,towna) )
& ( accept_city(X0,towna)
| ~ accept_population(X0,atheist,n75)
| ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,other,n0) ) ),
inference(flattening,[],[f603]) ).
fof(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(f677,plain,
! [X0] :
( accept_population(X0,christian,n24)
| ~ accept_city(X0,towna) ),
inference(cnf_transformation,[],[f604]) ).
fof(f692,plain,
! [X0] :
( accept_population(X0,other,n1)
| ~ accept_city(X0,cityb) ),
inference(cnf_transformation,[],[f610]) ).
fof(f694,plain,
! [X0] :
( accept_population(X0,muslim,n1)
| ~ 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(f729,plain,
accept_team(countryamedicalorganization,countryacivilorganization,towna,n6),
inference(cnf_transformation,[],[f47]) ).
fof(f739,plain,
the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
inference(cnf_transformation,[],[f57]) ).
fof(f740,plain,
any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
inference(cnf_transformation,[],[f58]) ).
fof(f828,plain,
accept_team(countryamedicalorganization,countryahumanitarianorganization,townc,n6),
inference(cnf_transformation,[],[f146]) ).
fof(f952,plain,
rdn_translate(n0,rdn_pos(rdnn(n0))),
inference(cnf_transformation,[],[f270]) ).
fof(f953,plain,
rdn_translate(n1,rdn_pos(rdnn(n1))),
inference(cnf_transformation,[],[f271]) ).
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(f1217,plain,
rdn_positive_less(rdnn(n0),rdnn(n1)),
inference(cnf_transformation,[],[f535]) ).
fof(f1218,plain,
rdn_positive_less(rdnn(n1),rdnn(n2)),
inference(cnf_transformation,[],[f536]) ).
fof(f1219,plain,
rdn_positive_less(rdnn(n2),rdnn(n3)),
inference(cnf_transformation,[],[f537]) ).
fof(f1226,plain,
! [X2,X0,X1] :
( ~ rdn_positive_less(rdnn(X1),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1))
| rdn_positive_less(rdnn(X0),rdnn(X2)) ),
inference(cnf_transformation,[],[f572]) ).
fof(f1227,plain,
! [X2,X3,X0,X1] :
( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3))
| ~ rdn_positive_less(X1,X3) ),
inference(cnf_transformation,[],[f573]) ).
fof(f1229,plain,
! [X2,X0,X1] :
( rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2))
| ~ rdn_non_zero(X2) ),
inference(cnf_transformation,[],[f576]) ).
fof(f1230,plain,
! [X0] :
( ~ rdn_non_zero_digit(rdnn(X0))
| rdn_non_zero(rdnn(X0)) ),
inference(cnf_transformation,[],[f577]) ).
fof(f1232,plain,
! [X2,X3,X0,X1] :
( ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_translate(X0,rdn_pos(X2))
| less(X0,X1)
| ~ rdn_positive_less(X2,X3) ),
inference(cnf_transformation,[],[f580]) ).
fof(f1238,plain,
accept_population(countryamedicalorganization,native,n100),
inference(cnf_transformation,[],[f558]) ).
fof(f1240,plain,
( ~ accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization)
| ~ accept_city(countryamedicalorganization,coastvillage) ),
inference(resolution,[],[f624,f739]) ).
fof(f1242,definition,
( spl0_1
<=> accept_city(countryamedicalorganization,coastvillage) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f1244,plain,
( ~ accept_city(countryamedicalorganization,coastvillage)
| spl0_1 ),
inference(avatar_component_clause,[],[f1242]) ).
fof(f1246,definition,
( spl0_2
<=> accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f1249,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f1240,f1246,f1242]) ).
fof(f1250,plain,
accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization),
inference(resolution,[],[f740,f623]) ).
fof(f1251,plain,
spl0_2,
inference(avatar_split_clause,[],[f1250,f1246]) ).
fof(f1254,plain,
rdn_non_zero(rdnn(n2)),
inference(resolution,[],[f1230,f1209]) ).
fof(f1256,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,[],[f1232,f1052]) ).
fof(f1257,plain,
! [X0,X1] :
( ~ rdn_positive_less(X1,rdnn(n1))
| less(X0,n1)
| ~ rdn_translate(X0,rdn_pos(X1)) ),
inference(resolution,[],[f1232,f953]) ).
fof(f1260,plain,
accept_city(countryamedicalorganization,towna),
inference(resolution,[],[f729,f617]) ).
fof(f1280,plain,
accept_city(countryamedicalorganization,cityb),
inference(resolution,[],[f716,f617]) ).
fof(f1281,plain,
rdn_non_zero(rdnn(n1)),
inference(resolution,[],[f1208,f1230]) ).
fof(f1287,plain,
accept_city(countryamedicalorganization,townc),
inference(resolution,[],[f828,f617]) ).
fof(f1328,plain,
! [X0] :
( ~ rdn_translate(X0,rdn_pos(rdnn(n0)))
| less(X0,n1) ),
inference(resolution,[],[f1257,f1217]) ).
fof(f1330,plain,
! [X0] :
( ~ rdn_positive_less(rdnn(X0),rdnn(n2))
| rdn_positive_less(rdnn(X0),rdnn(n3)) ),
inference(resolution,[],[f1219,f1226]) ).
fof(f1331,plain,
rdn_positive_less(rdnn(n1),rdnn(n3)),
inference(resolution,[],[f1330,f1218]) ).
fof(f1339,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,f1256]) ).
fof(f1340,plain,
! [X2,X0,X1] :
( less(X0,n100)
| ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(X2))))
| ~ rdn_non_zero(rdnn(n1)) ),
inference(resolution,[],[f1339,f1229]) ).
fof(f1344,plain,
! [X2,X0,X1] :
( ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(X2))))
| less(X0,n100) ),
inference(forward_subsumption_resolution,[],[f1340,f1281]) ).
fof(f1350,plain,
! [X0,X1] :
( accept_population(X0,atheist,X1)
| ~ less(X1,n30)
| ~ accept_city(X0,townc) ),
inference(resolution,[],[f620,f702]) ).
fof(f1355,plain,
! [X0,X1] :
( accept_population(X0,muslim,X1)
| ~ less(X1,n1)
| ~ accept_city(X0,cityb) ),
inference(resolution,[],[f620,f694]) ).
fof(f1357,plain,
! [X0] :
( accept_population(countryamedicalorganization,native,X0)
| ~ less(X0,n100) ),
inference(resolution,[],[f620,f1238]) ).
fof(f1362,plain,
! [X0,X1] :
( accept_population(X0,other,X1)
| ~ less(X1,n1)
| ~ accept_city(X0,cityb) ),
inference(resolution,[],[f620,f692]) ).
fof(f1428,plain,
! [X0] :
( ~ less(n0,n1)
| ~ accept_city(X0,cityb)
| ~ 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,[],[f1362,f661]) ).
fof(f1435,plain,
! [X0] :
( ~ less(n0,n1)
| ~ accept_city(X0,cityb)
| ~ accept_population(X0,atheist,n12)
| ~ accept_population(X0,christian,n3)
| ~ accept_population(X0,native,n85)
| accept_city(X0,coastvillage) ),
inference(forward_subsumption_resolution,[],[f1428,f1355]) ).
fof(f1446,definition,
( spl0_17
<=> ! [X0] :
( ~ accept_city(X0,cityb)
| accept_city(X0,coastvillage)
| ~ accept_population(X0,native,n85)
| ~ accept_population(X0,christian,n3)
| ~ accept_population(X0,atheist,n12) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f1447,plain,
( ! [X0] :
( ~ accept_population(X0,native,n85)
| accept_city(X0,coastvillage)
| ~ accept_city(X0,cityb)
| ~ accept_population(X0,christian,n3)
| ~ accept_population(X0,atheist,n12) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f1446]) ).
fof(f1449,definition,
( spl0_18
<=> less(n0,n1) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f1451,plain,
( ~ less(n0,n1)
| spl0_18 ),
inference(avatar_component_clause,[],[f1449]) ).
fof(f1452,plain,
( spl0_17
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f1435,f1449,f1446]) ).
fof(f1498,definition,
( spl0_25
<=> less(n85,n100) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f1499,plain,
( less(n85,n100)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f1498]) ).
fof(f1506,definition,
( spl0_27
<=> accept_population(countryamedicalorganization,christian,n3) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f1508,plain,
( ~ accept_population(countryamedicalorganization,christian,n3)
| spl0_27 ),
inference(avatar_component_clause,[],[f1506]) ).
fof(f1510,definition,
( spl0_28
<=> accept_population(countryamedicalorganization,atheist,n12) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f1511,plain,
( accept_population(countryamedicalorganization,atheist,n12)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f1510]) ).
fof(f1512,plain,
( ~ accept_population(countryamedicalorganization,atheist,n12)
| spl0_28 ),
inference(avatar_component_clause,[],[f1510]) ).
fof(f1515,plain,
( ~ less(n12,n30)
| ~ accept_city(countryamedicalorganization,townc)
| spl0_28 ),
inference(resolution,[],[f1512,f1350]) ).
fof(f1516,plain,
( ~ less(n12,n30)
| spl0_28 ),
inference(forward_subsumption_resolution,[],[f1515,f1287]) ).
fof(f1548,plain,
less(n0,n1),
inference(resolution,[],[f1328,f952]) ).
fof(f1549,plain,
( $false
| spl0_18 ),
inference(forward_subsumption_resolution,[],[f1548,f1451]) ).
fof(f1550,plain,
spl0_18,
inference(avatar_contradiction_clause,[],[f1549]) ).
fof(f1561,plain,
! [X0,X1] :
( accept_population(X0,christian,X1)
| ~ accept_city(X0,towna)
| ~ less(X1,n24) ),
inference(resolution,[],[f677,f620]) ).
fof(f1601,plain,
( accept_city(countryamedicalorganization,coastvillage)
| ~ accept_city(countryamedicalorganization,cityb)
| ~ accept_population(countryamedicalorganization,christian,n3)
| ~ accept_population(countryamedicalorganization,atheist,n12)
| ~ less(n85,n100)
| ~ spl0_17 ),
inference(resolution,[],[f1447,f1357]) ).
fof(f1645,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(f1647,plain,
! [X0,X1] :
( less(X0,n24)
| ~ rdn_translate(X0,rdn_pos(rdnn(X1)))
| ~ rdn_non_zero(rdnn(n2)) ),
inference(resolution,[],[f1645,f1229]) ).
fof(f1651,plain,
! [X0,X1] :
( ~ rdn_translate(X0,rdn_pos(rdnn(X1)))
| less(X0,n24) ),
inference(forward_subsumption_resolution,[],[f1647,f1254]) ).
fof(f1652,plain,
less(n3,n24),
inference(resolution,[],[f1651,f955]) ).
fof(f1841,plain,
less(n85,n100),
inference(resolution,[],[f1037,f1344]) ).
fof(f1854,plain,
spl0_25,
inference(avatar_split_clause,[],[f1841,f1498]) ).
fof(f1986,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(f2013,plain,
! [X2,X0,X1] :
( ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),X2)))
| less(X0,n30)
| ~ rdn_positive_less(X2,rdnn(n3)) ),
inference(resolution,[],[f1986,f1227]) ).
fof(f2925,plain,
( less(n12,n30)
| ~ rdn_positive_less(rdnn(n1),rdnn(n3)) ),
inference(resolution,[],[f964,f2013]) ).
fof(f2933,plain,
( ~ rdn_positive_less(rdnn(n1),rdnn(n3))
| spl0_28 ),
inference(forward_subsumption_resolution,[],[f2925,f1516]) ).
fof(f2941,plain,
( $false
| spl0_28 ),
inference(forward_subsumption_resolution,[],[f2933,f1331]) ).
fof(f2942,plain,
spl0_28,
inference(avatar_contradiction_clause,[],[f2941]) ).
fof(f2943,plain,
( ~ accept_city(countryamedicalorganization,cityb)
| ~ accept_population(countryamedicalorganization,christian,n3)
| ~ accept_population(countryamedicalorganization,atheist,n12)
| ~ less(n85,n100)
| spl0_1
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1601,f1244]) ).
fof(f2945,plain,
( ~ accept_population(countryamedicalorganization,christian,n3)
| ~ accept_population(countryamedicalorganization,atheist,n12)
| ~ less(n85,n100)
| spl0_1
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f2943,f1280]) ).
fof(f2946,plain,
( ~ accept_population(countryamedicalorganization,christian,n3)
| ~ less(n85,n100)
| spl0_1
| ~ spl0_17
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f2945,f1511]) ).
fof(f2947,plain,
( ~ accept_population(countryamedicalorganization,christian,n3)
| spl0_1
| ~ spl0_17
| ~ spl0_25
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f2946,f1499]) ).
fof(f2948,plain,
( ~ spl0_27
| spl0_1
| ~ spl0_17
| ~ spl0_25
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f2947,f1510,f1498,f1446,f1242,f1506]) ).
fof(f2950,plain,
( ~ accept_city(countryamedicalorganization,towna)
| ~ less(n3,n24)
| spl0_27 ),
inference(resolution,[],[f1508,f1561]) ).
fof(f2956,plain,
( ~ less(n3,n24)
| spl0_27 ),
inference(forward_subsumption_resolution,[],[f2950,f1260]) ).
fof(f2959,plain,
( $false
| spl0_27 ),
inference(forward_subsumption_resolution,[],[f2956,f1652]) ).
fof(f2960,plain,
spl0_27,
inference(avatar_contradiction_clause,[],[f2959]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f1249]) ).
cnf(s2,plain,
spl0_2,
inference(sat_conversion,[],[f1251]) ).
cnf(s10,plain,
( spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f1452]) ).
cnf(s18,plain,
spl0_18,
inference(sat_conversion,[],[f1550]) ).
cnf(s35,plain,
spl0_25,
inference(sat_conversion,[],[f1854]) ).
cnf(s99,plain,
spl0_28,
inference(sat_conversion,[],[f2942]) ).
cnf(s100,plain,
( spl0_1
| ~ spl0_17
| ~ spl0_25
| ~ spl0_27
| ~ spl0_28 ),
inference(sat_conversion,[],[f2948]) ).
cnf(s102,plain,
spl0_27,
inference(sat_conversion,[],[f2960]) ).
cnf(s103,plain,
( spl0_1
| ~ spl0_17
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s100,s102]) ).
cnf(s114,plain,
spl0_17,
inference(rat,[],[s10,s18]) ).
cnf(s115,plain,
spl0_1,
inference(rat,[],[s103,s99,s35,s114]) ).
cnf(s118,plain,
$false,
inference(rat,[],[s1,s2,s115]) ).
fof(f2961,plain,
$false,
inference(avatar_sat_refutation,[],[s118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : AGT011+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n020.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 19:10:20 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.20/1.33 % (438178)Detected formulas, will run a generic FOF schedule.
% 4.20/1.33 % (438183)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=2029463055:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.20/1.33 % (438188)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3155622829:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.20/1.33 % (438187)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=271964123:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.20/1.33 % (438186)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2388460570:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.20/1.33 % (438189)dis-21_1_sil=8000:lcm=predicate:random_seed=808617299:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.20/1.33 % (438184)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=603565107:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.20/1.33 % (438185)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=1020339433:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.20/1.33 % (438186)Refutation not found, incomplete strategy
% 4.20/1.33 % (438186)------------------------------
% 4.20/1.33 % (438186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.33 % (438186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/1.33 % (438186)CaDiCaL version: 2.1.3
% 4.20/1.33 % (438186)Termination reason: Refutation not found, incomplete strategy
% 4.20/1.33 % (438186)Time elapsed: 0.002 s
% 4.20/1.33 % (438186)Peak memory usage: 87 MB
% 4.20/1.33 % (438186)Instructions burned: 2 (million)
% 4.20/1.33 % (438187)Refutation not found, incomplete strategy
% 4.20/1.33 % (438187)------------------------------
% 4.20/1.33 % (438187)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.33 % (438187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/1.33 % (438187)CaDiCaL version: 2.1.3
% 4.20/1.33 % (438187)Termination reason: Refutation not found, incomplete strategy
% 4.20/1.33 % (438187)Time elapsed: 0.004 s
% 4.20/1.33 % (438187)Peak memory usage: 87 MB
% 4.20/1.33 % (438187)Instructions burned: 5 (million)
% 4.20/1.33 % (438189)Instruction limit reached!
% 4.20/1.33 % (438189)------------------------------
% 4.20/1.33 % (438189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.33 % (438189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/1.33 % (438189)CaDiCaL version: 2.1.3
% 4.20/1.33 % (438189)Termination reason: Instruction limit
% 4.20/1.33 % (438189)Termination phase: Saturation
% 4.20/1.33 % (438189)Time elapsed: 0.068 s
% 4.20/1.33 % (438189)Peak memory usage: 91 MB
% 4.20/1.33 % (438189)Instructions burned: 130 (million)
% 4.20/1.33 % (438188)Instruction limit reached!
% 4.20/1.33 % (438188)------------------------------
% 4.20/1.33 % (438188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.33 % (438188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/1.33 % (438188)CaDiCaL version: 2.1.3
% 4.20/1.33 % (438188)Termination reason: Instruction limit
% 4.20/1.33 % (438188)Termination phase: Saturation
% 4.20/1.33 % (438188)Time elapsed: 0.079 s
% 4.20/1.33 % (438188)Peak memory usage: 90 MB
% 4.20/1.33 % (438188)Instructions burned: 139 (million)
% 4.20/1.33 % (438197)lrs+10_1_sil=8000:sp=occurrence:random_seed=3276726791:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.20/1.33 % (438197)Refutation not found, incomplete strategy
% 4.20/1.33 % (438197)------------------------------
% 4.20/1.33 % (438197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.33 % (438197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/1.33 % (438197)CaDiCaL version: 2.1.3
% 4.20/1.33 % (438197)Termination reason: Refutation not found, incomplete strategy
% 4.20/1.33 % (438197)Time elapsed: 0.004 s
% 4.20/1.33 % (438197)Peak memory usage: 88 MB
% 4.20/1.33 % (438197)Instructions burned: 6 (million)
% 4.20/1.33 % (438198)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1092824865:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.57/1.71 % (438198)Refutation not found, incomplete strategy
% 5.57/1.71 % (438198)------------------------------
% 5.57/1.71 % (438198)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.57/1.71 % (438198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/1.71 % (438198)CaDiCaL version: 2.1.3
% 5.57/1.71 % (438198)Termination reason: Refutation not found, incomplete strategy
% 5.57/1.71 % (438198)Time elapsed: 0.004 s
% 5.57/1.71 % (438198)Peak memory usage: 88 MB
% 5.57/1.71 % (438198)Instructions burned: 6 (million)
% 5.57/1.71 % (438187)------------------------------
% 5.57/1.71 % (438187)------------------------------
% 5.57/1.71 % (438186)------------------------------
% 5.57/1.71 % (438186)------------------------------
% 5.57/1.71 % (438202)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=616565135:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 5.57/1.71 [W928 19:10:21.977050400 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.57/1.71 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.57/1.71 [W928 19:10:21.977085213 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.57/1.71 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.57/1.71 [W928 19:10:21.977121544 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.57/1.71 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.57/1.71 [W928 19:10:21.977135074 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.57/1.71 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.57/1.71 [W928 19:10:21.977162294 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.57/1.71 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.57/1.71 [W928 19:10:21.977173914 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.57/1.71 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.57/1.71 [W928 19:10:21.980509706 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.57/1.71 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.57/1.71 [W928 19:10:21.980538076 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.57/1.71 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.57/1.71 [W928 19:10:21.980575160 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.57/1.71 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.57/1.71 [W928 19:10:21.980588073 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.57/1.71 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.57/1.71 [W928 19:10:21.980614160 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.57/1.71 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.57/1.71 [W928 19:10:21.980625754 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.57/1.71 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.57/1.71 [W928 19:10:21.980657571 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.57/1.71 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.57/1.71 [W928 19:10:21.980667914 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.57/1.71 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.57/1.71 [W928 19:10:21.980705044 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.57/1.71 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.57/1.71 [W928 19:10:21.980715888 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.57/1.71 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.57/1.71 [W928 19:10:21.980739554 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.57/1.71 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.57/1.71 [W928 19:10:21.980749511 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.57/1.71 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.57/1.71 % (438201)lrs+1011_1_sil=32000:sp=occurrence:random_seed=693436835:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 5.57/1.71 % (438201)Refutation not found, incomplete strategy
% 5.57/1.71 % (438201)------------------------------
% 5.57/1.71 % (438201)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.57/1.71 % (438201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/1.71 % (438201)CaDiCaL version: 2.1.3
% 5.57/1.71 % (438201)Termination reason: Refutation not found, incomplete strategy
% 5.57/1.71 % (438201)Time elapsed: 0.004 s
% 5.57/1.71 % (438201)Peak memory usage: 88 MB
% 5.57/1.71 % (438201)Instructions burned: 5 (million)
% 5.57/1.71 % (438202)Instruction limit reached!
% 5.57/1.71 % (438202)------------------------------
% 5.57/1.71 % (438202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.57/1.71 % (438202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/1.71 % (438202)CaDiCaL version: 2.1.3
% 5.57/1.71 % (438202)Termination reason: Instruction limit
% 5.57/1.71 % (438202)Termination phase: Saturation
% 5.57/1.71 % (438202)Time elapsed: 0.061 s
% 5.57/1.71 % (438202)Peak memory usage: 95 MB
% 5.57/1.71 % (438202)Instructions burned: 249 (million)
% 5.57/1.71 % (438197)------------------------------
% 5.57/1.71 % (438197)------------------------------
% 5.57/1.71 % (438198)------------------------------
% 5.57/1.71 % (438198)------------------------------
% 5.57/1.71 % (438205)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3782473743:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 5.57/1.71 % (438205)Refutation not found, incomplete strategy
% 5.57/1.71 % (438205)------------------------------
% 5.57/1.71 % (438205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.57/1.71 % (438205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/1.71 % (438205)CaDiCaL version: 2.1.3
% 5.57/1.71 % (438205)Termination reason: Refutation not found, incomplete strategy
% 5.57/1.71 % (438205)Time elapsed: 0.003 s
% 5.57/1.71 % (438205)Peak memory usage: 88 MB
% 5.57/1.71 % (438205)Instructions burned: 10 (million)
% 5.57/1.71 % (438184)Refutation not found, incomplete strategy
% 5.57/1.71 % (438184)------------------------------
% 5.57/1.71 % (438184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.57/1.71 % (438184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/1.71 % (438184)CaDiCaL version: 2.1.3
% 5.57/1.71 % (438184)Termination reason: Refutation not found, incomplete strategy
% 5.57/1.71 % (438184)Time elapsed: 0.563 s
% 5.57/1.71 % (438184)Peak memory usage: 127 MB
% 5.57/1.71 % (438184)Instructions burned: 843 (million)
% 5.57/1.71 % (438185)Refutation not found, incomplete strategy
% 5.57/1.71 % (438185)------------------------------
% 5.57/1.71 % (438185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.57/1.71 % (438185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/1.71 % (438185)CaDiCaL version: 2.1.3
% 5.57/1.71 % (438185)Termination reason: Refutation not found, incomplete strategy
% 5.57/1.71 % (438185)Time elapsed: 0.571 s
% 5.57/1.71 % (438185)Peak memory usage: 128 MB
% 5.57/1.71 % (438185)Instructions burned: 840 (million)
% 5.57/1.71 % (438206)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3127825137:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 5.57/1.71 % (438207)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1326698653:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 5.57/1.71 % (438183)First to succeed.
% 5.57/1.71 % (438207)Refutation not found, incomplete strategy
% 5.57/1.71 % (438207)------------------------------
% 5.57/1.71 % (438207)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.57/1.71 % (438207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/1.71 % (438207)CaDiCaL version: 2.1.3
% 5.57/1.71 % (438207)Termination reason: Refutation not found, incomplete strategy
% 5.57/1.71 % (438207)Time elapsed: 0.004 s
% 5.57/1.71 % (438207)Peak memory usage: 88 MB
% 5.57/1.71 % (438207)Instructions burned: 5 (million)
% 5.57/1.71 % (438183)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-438178"
% 5.57/1.71 % (438201)------------------------------
% 5.57/1.71 % (438201)------------------------------
% 5.57/1.71 % (438205)------------------------------
% 5.57/1.71 % (438205)------------------------------
% 5.57/1.71 % (438212)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1469724009:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 5.57/1.71 % (438212)Refutation not found, incomplete strategy
% 5.57/1.71 % (438212)------------------------------
% 5.57/1.71 % (438212)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.57/1.71 % (438212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/1.71 % (438212)CaDiCaL version: 2.1.3
% 5.57/1.71 % (438212)Termination reason: Refutation not found, incomplete strategy
% 5.57/1.71 % (438212)Time elapsed: 0.004 s
% 5.57/1.71 % (438212)Peak memory usage: 88 MB
% 5.57/1.71 % (438212)Instructions burned: 16 (million)
% 5.57/1.71 % (438211)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4085716013:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 5.57/1.71 % (438184)------------------------------
% 5.57/1.71 % (438184)------------------------------
% 5.57/1.71 % (438185)------------------------------
% 5.57/1.71 % (438185)------------------------------
% 5.57/1.71 % (438211)Instruction limit reached!
% 5.57/1.71 % (438211)------------------------------
% 5.57/1.71 % (438211)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.57/1.71 % (438211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/1.71 % (438211)CaDiCaL version: 2.1.3
% 5.57/1.71 % (438211)Termination reason: Instruction limit
% 5.57/1.71 % (438211)Termination phase: Saturation
% 5.57/1.71 % (438211)Time elapsed: 0.060 s
% 5.57/1.71 % (438211)Peak memory usage: 89 MB
% 5.57/1.71 % (438211)Instructions burned: 128 (million)
% 5.57/1.71 % (438207)------------------------------
% 5.57/1.71 % (438207)------------------------------
% 5.57/1.71 % (438183)Refutation found. Thanks to Tanya!
% 5.57/1.71 % SZS status Theorem for theBenchmark
% 5.57/1.71 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.90 % (438183)------------------------------
% 0.19/1.90 % (438183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.90 % (438183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.90 % (438183)CaDiCaL version: 2.1.3
% 0.19/1.90 % (438183)Termination reason: Refutation
% 0.19/1.90 % (438183)Time elapsed: 0.657 s
% 0.19/1.90 % (438183)Peak memory usage: 135 MB
% 0.19/1.90 % (438183)Instructions burned: 1345 (million)
% 0.19/1.90 % (438183)------------------------------
% 0.19/1.90 % (438183)------------------------------
% 0.19/1.90 % (438178)Success in time 1.048 s
% 0.19/1.90 % Vampire exiting
%------------------------------------------------------------------------------