%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : AGT015+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 3.82s 1.33s
% Output : Refutation 3.82s
% 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 : 30 ( 0 sgn 26 !; 4 ?)
% 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(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(f556,conjecture,
? [X0,X1] : ~ accept_city(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query_15) ).
fof(f557,negated_conjecture,
~ ? [X0,X1] : ~ accept_city(X0,X1),
inference(negated_conjecture,[status(cth)],[f556]) ).
fof(f558,plain,
! [X0,X1] : accept_city(X0,X1),
inference(ennf_transformation,[],[f557]) ).
fof(f559,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(f560,plain,
! [X0,X1,X2] :
( ~ accept_city(X0,X2)
| ~ accept_leader(X0,X1)
| ~ the_agent_not_in_any_proposed_teams(X0,X1,X2) ),
inference(flattening,[],[f559]) ).
fof(f562,plain,
! [X0,X1,X2] :
( accept_leader(X0,X1)
| ~ any_agent_in_all_proposed_teams(X0,X1,X2) ),
inference(ennf_transformation,[],[f5]) ).
fof(f577,plain,
! [X0,X1] : accept_city(X0,X1),
inference(cnf_transformation,[],[f558]) ).
fof(f578,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,[],[f560]) ).
fof(f585,plain,
! [X2,X0,X1] :
( accept_leader(X0,X1)
| ~ any_agent_in_all_proposed_teams(X0,X1,X2) ),
inference(cnf_transformation,[],[f562]) ).
fof(f587,plain,
the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
inference(cnf_transformation,[],[f57]) ).
fof(f796,plain,
any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
inference(cnf_transformation,[],[f58]) ).
fof(f860,plain,
( ~ accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization)
| ~ accept_city(countryamedicalorganization,coastvillage) ),
inference(resolution,[],[f578,f587]) ).
fof(f862,definition,
( spl1_1
<=> accept_city(countryamedicalorganization,coastvillage) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f863,plain,
( ~ accept_city(countryamedicalorganization,coastvillage)
| spl1_1 ),
inference(avatar_component_clause,[],[f862]) ).
fof(f865,definition,
( spl1_2
<=> accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f866,plain,
( ~ accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization)
| spl1_2 ),
inference(avatar_component_clause,[],[f865]) ).
fof(f867,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f860,f865,f862]) ).
fof(f884,plain,
( ! [X0] : ~ any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,X0)
| spl1_2 ),
inference(resolution,[],[f866,f585]) ).
fof(f894,plain,
( $false
| spl1_2 ),
inference(resolution,[],[f884,f796]) ).
fof(f895,plain,
spl1_2,
inference(avatar_contradiction_clause,[],[f894]) ).
fof(f896,plain,
( $false
| spl1_1 ),
inference(resolution,[],[f863,f577]) ).
fof(f897,plain,
spl1_1,
inference(avatar_contradiction_clause,[],[f896]) ).
cnf(s1,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(sat_conversion,[],[f867]) ).
cnf(s5,plain,
spl1_2,
inference(sat_conversion,[],[f895]) ).
cnf(s6,plain,
spl1_1,
inference(sat_conversion,[],[f897]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s1,s5,s6]) ).
fof(f898,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : AGT015+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n007.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 19:08:55 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
% 3.82/1.33 % (2722155)Detected formulas, will run a generic FOF schedule.
% 3.82/1.33 % (2722164)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4113556713:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.82/1.33 % (2722164)Refutation not found, incomplete strategy
% 3.82/1.33 % (2722164)------------------------------
% 3.82/1.33 % (2722164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.82/1.33 % (2722164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/1.33 % (2722164)CaDiCaL version: 2.1.3
% 3.82/1.33 % (2722164)Termination reason: Refutation not found, incomplete strategy
% 3.82/1.33 % (2722164)Time elapsed: 0.001 s
% 3.82/1.33 % (2722164)Peak memory usage: 86 MB
% 3.82/1.33 % (2722164)Instructions burned: 2 (million)
% 3.82/1.33 % (2722163)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1494151142:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.82/1.33 % (2722162)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=651684983:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.82/1.33 % (2722166)dis-21_1_sil=8000:lcm=predicate:random_seed=2683146724: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)
% 3.82/1.33 % (2722161)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=193846969:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.82/1.33 % (2722165)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2312658565:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.82/1.33 % (2722160)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=3715360053:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.82/1.33 % (2722163)Refutation not found, incomplete strategy
% 3.82/1.33 % (2722163)------------------------------
% 3.82/1.33 % (2722163)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.82/1.33 % (2722163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/1.33 % (2722163)CaDiCaL version: 2.1.3
% 3.82/1.33 % (2722163)Termination reason: Refutation not found, incomplete strategy
% 3.82/1.33 % (2722163)Time elapsed: 0.002 s
% 3.82/1.33 % (2722163)Peak memory usage: 86 MB
% 3.82/1.33 % (2722163)Instructions burned: 1 (million)
% 3.82/1.33 % (2722166)First to succeed.
% 3.82/1.33 % (2722166)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2722155"
% 3.82/1.33 % (2722165)Also succeeded, but the first one will report.
% 3.82/1.33 % (2722164)------------------------------
% 3.82/1.33 % (2722164)------------------------------
% 3.82/1.33 % (2722174)lrs+10_1_sil=8000:sp=occurrence:random_seed=1419139525:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.82/1.33 % (2722174)Refutation not found, incomplete strategy
% 3.82/1.33 % (2722174)------------------------------
% 3.82/1.33 % (2722174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.82/1.33 % (2722174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/1.33 % (2722174)CaDiCaL version: 2.1.3
% 3.82/1.33 % (2722174)Termination reason: Refutation not found, incomplete strategy
% 3.82/1.33 % (2722174)Time elapsed: 0.001 s
% 3.82/1.33 % (2722174)Peak memory usage: 87 MB
% 3.82/1.33 % (2722174)Instructions burned: 1 (million)
% 3.82/1.33 % (2722163)------------------------------
% 3.82/1.33 % (2722163)------------------------------
% 3.82/1.33 % (2722166)Refutation found. Thanks to Tanya!
% 3.82/1.33 % SZS status Theorem for theBenchmark
% 3.82/1.33 % SZS output start Proof for theBenchmark
% See solution above
% 3.82/1.33 % (2722166)------------------------------
% 3.82/1.33 % (2722166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.82/1.33 % (2722166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/1.33 % (2722166)CaDiCaL version: 2.1.3
% 3.82/1.33 % (2722166)Termination reason: Refutation
% 3.82/1.33 % (2722166)Time elapsed: 0.008 s
% 3.82/1.33 % (2722166)Peak memory usage: 89 MB
% 3.82/1.33 % (2722166)Instructions burned: 13 (million)
% 3.82/1.33 % (2722166)------------------------------
% 3.82/1.33 % (2722166)------------------------------
% 3.82/1.33 % (2722155)Success in time 0.456 s
% 3.82/1.33 % Vampire exiting
%------------------------------------------------------------------------------