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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : AGT004+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n013.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 09:06:44 AM UTC 2026

% Result   : Theorem 0.20s 0.30s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   24 (  12 unt;   0 def)
%            Number of atoms       :   54 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   57 (  27   ~;  18   |;   9   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-4 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   37 (  37   !;   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/Axioms/AGT001+0.ax',a1_1) ).

fof(f5,axiom,
    ! [X0,X1,X2] :
      ( any_agent_in_all_proposed_teams(X0,X1,X2)
     => accept_leader(X0,X1) ),
    file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/AGT001+0.ax',a1_6) ).

fof(f57,axiom,
    the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+1.ax',event_37) ).

fof(f58,axiom,
    any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+1.ax',event_38) ).

fof(f556,conjecture,
    ~ accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_4) ).

fof(f557,negated_conjecture,
    ~ ~ accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5),
    inference(negated_conjecture,[status(cth)],[f556]) ).

fof(f558,plain,
    accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5),
    inference(flattening,[],[f557]) ).

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(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(f617,plain,
    ! [X2,X3,X0,X1] :
      ( ~ accept_team(X0,X3,X1,X2)
      | accept_city(X0,X1) ),
    inference(cnf_transformation,[],[f586]) ).

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(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(f1238,plain,
    accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5),
    inference(cnf_transformation,[],[f558]) ).

fof(f1324,plain,
    accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization),
    inference(resolution,[],[f623,f740]) ).

fof(f1634,plain,
    accept_city(countryamedicalorganization,coastvillage),
    inference(resolution,[],[f617,f1238]) ).

fof(f1679,plain,
    ( ~ accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization)
    | ~ accept_city(countryamedicalorganization,coastvillage) ),
    inference(resolution,[],[f624,f739]) ).

fof(f1680,plain,
    ~ accept_city(countryamedicalorganization,coastvillage),
    inference(forward_subsumption_resolution,[],[f1679,f1324]) ).

fof(f1683,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f1680,f1634]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : AGT004+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18  % Computer : n013.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 19:07:51 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22  Running first-order model finding
% 0.09/0.22  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.30  % (1464003)Will run a generic schedule for satisfiability detection.
% 0.20/0.30  % (1464008)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2591693218_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.30  % (1464009)% WARNING: option uhcvi not known.
% 0.20/0.30  % (1464009)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2521488661:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.30  % (1464010)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1511375725:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.30  % (1464011)dis+10_1_sil=32000:sp=arity:random_seed=674706607:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.30  % (1464012)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2798993415:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.30  % (1464013)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=987109942:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.30  % (1464014)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4204249668:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.30  % TRYING [1]
% 0.20/0.30  % TRYING [2]
% 0.20/0.30  % TRYING [3]
% 0.20/0.30  % (1464011) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1464003-1464011"...
% 0.20/0.30  % (1464009) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1464003-1464009"...
% 0.20/0.30  % (1464010) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1464003-1464010"...
% 0.20/0.30  % (1464014) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1464003-1464014"...
% 0.20/0.30  % (1464012) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1464003-1464012"...
% 0.20/0.30  % (1464011)...printing done.
% 0.20/0.30  % (1464009)...printing done.
% 0.20/0.30  % (1464011)Refutation found. Thanks to Tanya!
% 0.20/0.30  % SZS status Theorem for theBenchmark
% 0.20/0.30  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.30  % (1464011)------------------------------
% 0.20/0.30  % (1464011)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.30  % (1464011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.30  % (1464011)CaDiCaL version: 2.1.3
% 0.20/0.30  % (1464011)Termination reason: Refutation
% 0.20/0.30  % (1464011)Time elapsed: 0.024 s
% 0.20/0.30  % (1464011)Peak memory usage: 12 MB
% 0.20/0.30  % (1464011)Instructions burned: 48 (million)
% 0.20/0.30  % (1464003)Success in time 0.073 s
% 0.20/0.30  % Vampire exiting
%------------------------------------------------------------------------------