%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : AGT014+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 09:06:46 AM UTC 2026
% Result : Theorem 0.09s 0.26s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 30 ( 13 unt; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 68 ( 28 ~; 32 |; 5 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 12 con; 0-0 aty)
% Number of variables : 50 ( 44 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1,X2] :
( any_agent_in_all_proposed_teams(X0,X1,X2)
=> accept_leader(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',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/Axioms/AGT001+0.ax',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/Axioms/AGT001+0.ax',a2_7) ).
fof(f57,axiom,
the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_37) ).
fof(f58,axiom,
any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_38) ).
fof(f556,conjecture,
? [X0,X1,X2] : ~ accept_population(X0,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query_14) ).
fof(f557,negated_conjecture,
~ ? [X0,X1,X2] : ~ accept_population(X0,X1,X2),
inference(negated_conjecture,[status(cth)],[f556]) ).
fof(f567,plain,
! [X0,X1,X2] :
( accept_leader(X0,X1)
| ~ any_agent_in_all_proposed_teams(X0,X1,X2) ),
inference(ennf_transformation,[],[f5]) ).
fof(f568,plain,
! [X0,X1,X2] :
( ~ accept_city(X0,X2)
| ~ accept_leader(X0,X1)
| ~ the_agent_not_in_any_proposed_teams(X0,X1,X2) ),
inference(ennf_transformation,[],[f6]) ).
fof(f569,plain,
! [X0,X1,X2] :
( ~ accept_city(X0,X2)
| ~ accept_leader(X0,X1)
| ~ the_agent_not_in_any_proposed_teams(X0,X1,X2) ),
inference(flattening,[],[f568]) ).
fof(f584,plain,
! [X0,X1,X2] : accept_population(X0,X1,X2),
inference(ennf_transformation,[],[f557]) ).
fof(f593,plain,
! [X2,X0,X1] :
( ~ any_agent_in_all_proposed_teams(X0,X1,X2)
| accept_leader(X0,X1) ),
inference(cnf_transformation,[],[f567]) ).
fof(f594,plain,
! [X2,X0,X1] :
( ~ the_agent_not_in_any_proposed_teams(X0,X1,X2)
| ~ accept_leader(X0,X1)
| ~ accept_city(X0,X2) ),
inference(cnf_transformation,[],[f569]) ).
fof(f631,plain,
! [X0] :
( accept_city(X0,coastvillage)
| ~ accept_population(X0,other,n0)
| ~ accept_population(X0,native,n85)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,christian,n3)
| ~ accept_population(X0,atheist,n12) ),
inference(cnf_transformation,[],[f14]) ).
fof(f709,plain,
the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
inference(cnf_transformation,[],[f57]) ).
fof(f710,plain,
any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
inference(cnf_transformation,[],[f58]) ).
fof(f1208,plain,
! [X2,X0,X1] : accept_population(X0,X1,X2),
inference(cnf_transformation,[],[f584]) ).
fof(f1214,plain,
! [X2,X0,X1] :
( ~ any_agent_in_all_proposed_teams(X0,X1,X2)
| ~ accept_leader(X0,X1) ),
inference(consistent_polarity_flipping,[],[f593]) ).
fof(f1215,plain,
! [X2,X0,X1] :
( ~ the_agent_not_in_any_proposed_teams(X0,X1,X2)
| accept_leader(X0,X1)
| ~ accept_city(X0,X2) ),
inference(consistent_polarity_flipping,[],[f594]) ).
fof(f1257,plain,
! [X0] :
( accept_city(X0,coastvillage)
| accept_population(X0,other,n0)
| accept_population(X0,native,n85)
| accept_population(X0,muslim,n0)
| accept_population(X0,christian,n3)
| accept_population(X0,atheist,n12) ),
inference(consistent_polarity_flipping,[],[f631]) ).
fof(f1311,plain,
! [X2,X0,X1] : ~ accept_population(X0,X1,X2),
inference(consistent_polarity_flipping,[],[f1208]) ).
fof(f1387,plain,
~ accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization),
inference(resolution,[],[f1214,f710]) ).
fof(f1627,plain,
( accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization)
| ~ accept_city(countryamedicalorganization,coastvillage) ),
inference(resolution,[],[f1215,f709]) ).
fof(f1628,plain,
~ accept_city(countryamedicalorganization,coastvillage),
inference(forward_subsumption_resolution,[],[f1627,f1387]) ).
fof(f2225,plain,
! [X0] :
( accept_city(X0,coastvillage)
| accept_population(X0,native,n85)
| accept_population(X0,muslim,n0)
| accept_population(X0,christian,n3)
| accept_population(X0,atheist,n12) ),
inference(forward_subsumption_resolution,[],[f1257,f1311]) ).
fof(f2226,plain,
! [X0] :
( accept_city(X0,coastvillage)
| accept_population(X0,muslim,n0)
| accept_population(X0,christian,n3)
| accept_population(X0,atheist,n12) ),
inference(forward_subsumption_resolution,[],[f2225,f1311]) ).
fof(f2227,plain,
! [X0] :
( accept_city(X0,coastvillage)
| accept_population(X0,christian,n3)
| accept_population(X0,atheist,n12) ),
inference(forward_subsumption_resolution,[],[f2226,f1311]) ).
fof(f2228,plain,
! [X0] :
( accept_city(X0,coastvillage)
| accept_population(X0,atheist,n12) ),
inference(forward_subsumption_resolution,[],[f2227,f1311]) ).
fof(f2229,plain,
! [X0] : accept_city(X0,coastvillage),
inference(forward_subsumption_resolution,[],[f2228,f1311]) ).
fof(f2230,plain,
$false,
inference(backward_subsumption_resolution,[],[f1628,f2229]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT014+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.17 % Computer : n001.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 19:16:49 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 Running first-order model finding
% 0.09/0.20 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.26 % (636531)Will run a generic schedule for satisfiability detection.
% 0.09/0.26 % (636537)% WARNING: option uhcvi not known.
% 0.09/0.26 % (636537)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2387379761:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.26 % (636536)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3480834520_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.26 % (636539)dis+10_1_sil=32000:sp=arity:random_seed=2206194304:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.26 % (636538)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2880200336:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.26 % (636540)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1320747275:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.26 % (636541)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3167393617:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.26 % (636542)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1564675423:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.26 % (636537) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-636531-636537"...
% 0.09/0.26 % (636537)...printing done.
% 0.09/0.26 % (636537)Refutation found. Thanks to Tanya!
% 0.09/0.26 % SZS status Theorem for theBenchmark
% 0.09/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.26 % (636537)------------------------------
% 0.09/0.26 % (636537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.26 % (636537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.26 % (636537)CaDiCaL version: 2.1.3
% 0.09/0.26 % (636537)Termination reason: Refutation
% 0.09/0.26 % (636537)Time elapsed: 0.018 s
% 0.09/0.26 % (636537)Peak memory usage: 13 MB
% 0.09/0.26 % (636537)Instructions burned: 66 (million)
% 0.09/0.26 % (636531)Success in time 0.052 s
% 0.09/0.26 % Vampire exiting
%------------------------------------------------------------------------------