TSTP Solution File: AGT014+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : AGT014+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n022.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 04:09:41 EDT 2024

% Result   : Theorem 0.20s 0.44s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   31 (  13 unt;   0 def)
%            Number of atoms       :   88 (   0 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  105 (  48   ~;  36   |;  16   &)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   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   :   51 (  42   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2501,plain,
    $false,
    inference(resolution,[],[f2500,f1689]) ).

fof(f1689,plain,
    ~ accept_city(countryamedicalorganization,coastvillage),
    inference(subsumption_resolution,[],[f1686,f1334]) ).

fof(f1334,plain,
    accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization),
    inference(resolution,[],[f1245,f713]) ).

fof(f713,plain,
    any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
    inference(cnf_transformation,[],[f58]) ).

fof(f58,axiom,
    any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_38) ).

fof(f1245,plain,
    ! [X2,X0,X1] :
      ( ~ any_agent_in_all_proposed_teams(X0,X1,X2)
      | accept_leader(X0,X1) ),
    inference(cnf_transformation,[],[f588]) ).

fof(f588,plain,
    ! [X0,X1,X2] :
      ( accept_leader(X0,X1)
      | ~ any_agent_in_all_proposed_teams(X0,X1,X2) ),
    inference(ennf_transformation,[],[f567]) ).

fof(f567,plain,
    ! [X0,X1,X2] :
      ( any_agent_in_all_proposed_teams(X0,X1,X2)
     => accept_leader(X0,X1) ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X3,X1] :
      ( any_agent_in_all_proposed_teams(X0,X3,X1)
     => accept_leader(X0,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_5) ).

fof(f1686,plain,
    ( ~ accept_city(countryamedicalorganization,coastvillage)
    | ~ accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization) ),
    inference(resolution,[],[f1242,f681]) ).

fof(f681,plain,
    the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
    inference(cnf_transformation,[],[f57]) ).

fof(f57,axiom,
    the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_37) ).

fof(f1242,plain,
    ! [X2,X0,X1] :
      ( ~ the_agent_not_in_any_proposed_teams(X0,X1,X2)
      | ~ accept_city(X0,X2)
      | ~ accept_leader(X0,X1) ),
    inference(cnf_transformation,[],[f586]) ).

fof(f586,plain,
    ! [X0,X1,X2] :
      ( ~ accept_leader(X0,X1)
      | ~ accept_city(X0,X2)
      | ~ the_agent_not_in_any_proposed_teams(X0,X1,X2) ),
    inference(flattening,[],[f585]) ).

fof(f585,plain,
    ! [X0,X1,X2] :
      ( ~ accept_leader(X0,X1)
      | ~ accept_city(X0,X2)
      | ~ the_agent_not_in_any_proposed_teams(X0,X1,X2) ),
    inference(ennf_transformation,[],[f565]) ).

fof(f565,plain,
    ! [X0,X1,X2] :
      ( the_agent_not_in_any_proposed_teams(X0,X1,X2)
     => ~ ( accept_leader(X0,X1)
          & accept_city(X0,X2) ) ),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X3,X1] :
      ( the_agent_not_in_any_proposed_teams(X0,X3,X1)
     => ~ ( accept_leader(X0,X3)
          & accept_city(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_6) ).

fof(f2500,plain,
    ! [X0] : accept_city(X0,coastvillage),
    inference(subsumption_resolution,[],[f2499,f634]) ).

fof(f634,plain,
    ! [X2,X0,X1] : accept_population(X0,X1,X2),
    inference(cnf_transformation,[],[f581]) ).

fof(f581,plain,
    ! [X0,X1,X2] : accept_population(X0,X1,X2),
    inference(ennf_transformation,[],[f558]) ).

fof(f558,plain,
    ~ ? [X0,X1,X2] : ~ accept_population(X0,X1,X2),
    inference(rectify,[],[f557]) ).

fof(f557,negated_conjecture,
    ~ ? [X6,X7,X8] : ~ accept_population(X6,X7,X8),
    inference(negated_conjecture,[],[f556]) ).

fof(f556,conjecture,
    ? [X6,X7,X8] : ~ accept_population(X6,X7,X8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_14) ).

fof(f2499,plain,
    ! [X0] :
      ( accept_city(X0,coastvillage)
      | ~ accept_population(X0,atheist,n12) ),
    inference(subsumption_resolution,[],[f2498,f634]) ).

fof(f2498,plain,
    ! [X0] :
      ( accept_city(X0,coastvillage)
      | ~ accept_population(X0,christian,n3)
      | ~ accept_population(X0,atheist,n12) ),
    inference(subsumption_resolution,[],[f2497,f634]) ).

fof(f2497,plain,
    ! [X0] :
      ( accept_city(X0,coastvillage)
      | ~ accept_population(X0,muslim,n0)
      | ~ accept_population(X0,christian,n3)
      | ~ accept_population(X0,atheist,n12) ),
    inference(subsumption_resolution,[],[f2496,f634]) ).

fof(f2496,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(subsumption_resolution,[],[f1177,f634]) ).

fof(f1177,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,[],[f611]) ).

fof(f611,plain,
    ! [X0] :
      ( ( ( 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) )
        | ~ accept_city(X0,coastvillage) )
      & ( 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(flattening,[],[f610]) ).

fof(f610,plain,
    ! [X0] :
      ( ( ( 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) )
        | ~ accept_city(X0,coastvillage) )
      & ( 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(nnf_transformation,[],[f14]) ).

fof(f14,axiom,
    ! [X0] :
      ( ( 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) )
    <=> accept_city(X0,coastvillage) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_7) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : AGT014+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.07/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35  % Computer : n022.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri May  3 19:22:53 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  % (6168)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.39  % (6170)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.39  % (6171)WARNING: value z3 for option sas not known
% 0.13/0.39  % (6174)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.39  % (6173)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.39  % (6175)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.39  % (6172)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.39  % (6171)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.39  % (6169)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.42  TRYING [1]
% 0.20/0.43  TRYING [2]
% 0.20/0.44  % (6171)First to succeed.
% 0.20/0.44  % (6171)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-6168"
% 0.20/0.44  % (6171)Refutation found. Thanks to Tanya!
% 0.20/0.44  % SZS status Theorem for theBenchmark
% 0.20/0.44  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.44  % (6171)------------------------------
% 0.20/0.44  % (6171)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.44  % (6171)Termination reason: Refutation
% 0.20/0.44  
% 0.20/0.44  % (6171)Memory used [KB]: 2421
% 0.20/0.44  % (6171)Time elapsed: 0.050 s
% 0.20/0.44  % (6171)Instructions burned: 101 (million)
% 0.20/0.44  % (6168)Success in time 0.084 s
%------------------------------------------------------------------------------