%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : AGT017+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 09:06:35 AM UTC 2026
% Result : Theorem 3.49s 1.28s
% Output : Refutation 3.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 31 ( 14 unt; 2 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 45 ( 24 ~; 16 |; 1 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 26 ( 0 sgn 24 !; 2 ?)
% 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/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(f31,axiom,
the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_11) ).
fof(f32,axiom,
any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_12) ).
fof(f556,conjecture,
? [X0] : ~ accept_city(muslimcountrybhumanitarianorganization,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query_17) ).
fof(f557,negated_conjecture,
~ ? [X0] : ~ accept_city(muslimcountrybhumanitarianorganization,X0),
inference(negated_conjecture,[status(cth)],[f556]) ).
fof(f560,plain,
! [X0] : accept_city(muslimcountrybhumanitarianorganization,X0),
inference(ennf_transformation,[],[f557]) ).
fof(f561,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(f562,plain,
! [X0,X1,X2] :
( ~ accept_city(X0,X2)
| ~ accept_leader(X0,X1)
| ~ the_agent_not_in_any_proposed_teams(X0,X1,X2) ),
inference(flattening,[],[f561]) ).
fof(f564,plain,
! [X0,X1,X2] :
( accept_leader(X0,X1)
| ~ any_agent_in_all_proposed_teams(X0,X1,X2) ),
inference(ennf_transformation,[],[f5]) ).
fof(f582,plain,
! [X0] : accept_city(muslimcountrybhumanitarianorganization,X0),
inference(cnf_transformation,[],[f560]) ).
fof(f583,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,[],[f562]) ).
fof(f624,plain,
any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
inference(cnf_transformation,[],[f32]) ).
fof(f628,plain,
! [X2,X0,X1] :
( accept_leader(X0,X1)
| ~ any_agent_in_all_proposed_teams(X0,X1,X2) ),
inference(cnf_transformation,[],[f564]) ).
fof(f631,plain,
the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
inference(cnf_transformation,[],[f31]) ).
fof(f876,plain,
( ~ accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization)
| ~ accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(resolution,[],[f583,f631]) ).
fof(f886,definition,
( spl1_3
<=> accept_city(muslimcountrybhumanitarianorganization,towna) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
fof(f887,plain,
( ~ accept_city(muslimcountrybhumanitarianorganization,towna)
| spl1_3 ),
inference(avatar_component_clause,[],[f886]) ).
fof(f889,definition,
( spl1_4
<=> accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
fof(f890,plain,
( ~ accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization)
| spl1_4 ),
inference(avatar_component_clause,[],[f889]) ).
fof(f891,plain,
( ~ spl1_3
| ~ spl1_4 ),
inference(avatar_split_clause,[],[f876,f889,f886]) ).
fof(f899,plain,
( $false
| spl1_3 ),
inference(resolution,[],[f887,f582]) ).
fof(f902,plain,
spl1_3,
inference(avatar_contradiction_clause,[],[f899]) ).
fof(f904,plain,
( ! [X0] : ~ any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,X0)
| spl1_4 ),
inference(resolution,[],[f890,f628]) ).
fof(f913,plain,
( $false
| spl1_4 ),
inference(resolution,[],[f904,f624]) ).
fof(f914,plain,
spl1_4,
inference(avatar_contradiction_clause,[],[f913]) ).
cnf(s2,plain,
( ~ spl1_3
| ~ spl1_4 ),
inference(sat_conversion,[],[f891]) ).
cnf(s4,plain,
spl1_3,
inference(sat_conversion,[],[f902]) ).
cnf(s6,plain,
spl1_4,
inference(sat_conversion,[],[f914]) ).
cnf(s8,plain,
$false,
inference(rat,[],[s2,s6,s4]) ).
fof(f915,plain,
$false,
inference(avatar_sat_refutation,[],[s8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT017+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n007.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 19:09:26 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.49/1.28 % (2723073)Detected formulas, will run a generic FOF schedule.
% 3.49/1.28 % (2723082)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3126156771:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.49/1.28 % (2723082)Refutation not found, incomplete strategy
% 3.49/1.28 % (2723082)------------------------------
% 3.49/1.28 % (2723082)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.28 % (2723082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.28 % (2723082)CaDiCaL version: 2.1.3
% 3.49/1.28 % (2723082)Termination reason: Refutation not found, incomplete strategy
% 3.49/1.28 % (2723082)Time elapsed: 0.001 s
% 3.49/1.28 % (2723082)Peak memory usage: 87 MB
% 3.49/1.28 % (2723082)Instructions burned: 3 (million)
% 3.49/1.28 % (2723078)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=3327553162:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.49/1.28 % (2723083)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=827078552:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.49/1.28 % (2723079)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=3647134258:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.49/1.28 % (2723084)dis-21_1_sil=8000:lcm=predicate:random_seed=223205547:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.49/1.28 % (2723081)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1803410353:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.49/1.28 % (2723080)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=2419998107:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.49/1.28 % (2723081)Refutation not found, incomplete strategy
% 3.49/1.28 % (2723081)------------------------------
% 3.49/1.28 % (2723081)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.28 % (2723081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.28 % (2723081)CaDiCaL version: 2.1.3
% 3.49/1.28 % (2723081)Termination reason: Refutation not found, incomplete strategy
% 3.49/1.28 % (2723081)Time elapsed: 0.002 s
% 3.49/1.28 % (2723081)Peak memory usage: 87 MB
% 3.49/1.28 % (2723081)Instructions burned: 2 (million)
% 3.49/1.28 % (2723084)First to succeed.
% 3.49/1.28 % (2723084)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2723073"
% 3.49/1.28 % (2723083)Also succeeded, but the first one will report.
% 3.49/1.28 % (2723082)------------------------------
% 3.49/1.28 % (2723082)------------------------------
% 3.49/1.28 % (2723092)lrs+10_1_sil=8000:sp=occurrence:random_seed=3070425573:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.49/1.28 % (2723092)Refutation not found, incomplete strategy
% 3.49/1.28 % (2723092)------------------------------
% 3.49/1.28 % (2723092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.28 % (2723092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.28 % (2723092)CaDiCaL version: 2.1.3
% 3.49/1.28 % (2723092)Termination reason: Refutation not found, incomplete strategy
% 3.49/1.28 % (2723092)Time elapsed: 0.001 s
% 3.49/1.28 % (2723092)Peak memory usage: 88 MB
% 3.49/1.28 % (2723092)Instructions burned: 2 (million)
% 3.49/1.28 % (2723081)------------------------------
% 3.49/1.28 % (2723081)------------------------------
% 3.49/1.28 % (2723084)Refutation found. Thanks to Tanya!
% 3.49/1.28 % SZS status Theorem for theBenchmark
% 3.49/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.49/1.28 % (2723084)------------------------------
% 3.49/1.28 % (2723084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.28 % (2723084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.28 % (2723084)CaDiCaL version: 2.1.3
% 3.49/1.28 % (2723084)Termination reason: Refutation
% 3.49/1.28 % (2723084)Time elapsed: 0.008 s
% 3.49/1.28 % (2723084)Peak memory usage: 89 MB
% 3.49/1.28 % (2723084)Instructions burned: 13 (million)
% 3.49/1.28 % (2723084)------------------------------
% 3.49/1.28 % (2723084)------------------------------
% 3.49/1.28 % (2723073)Success in time 0.42 s
% 3.49/1.28 % Vampire exiting
%------------------------------------------------------------------------------