TSTP Solution File: CSR037+2 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : CSR037+2 : TPTP v8.2.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n015.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 : Mon May 20 19:40:46 EDT 2024

% Result   : Theorem 0.15s 0.37s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   31 (   4 unt;   0 def)
%            Number of atoms       :   64 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   59 (  26   ~;  21   |;   3   &)
%                                         (   3 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   4 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f6630,plain,
    $false,
    inference(avatar_sat_refutation,[],[f3889,f3907,f3918,f6629]) ).

fof(f6629,plain,
    ( ~ spl0_27
    | ~ spl0_29 ),
    inference(avatar_contradiction_clause,[],[f6627]) ).

fof(f6627,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_29 ),
    inference(resolution,[],[f6623,f3917]) ).

fof(f3917,plain,
    ( geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24)
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f3915]) ).

fof(f3915,plain,
    ( spl0_29
  <=> geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f6623,plain,
    ( ~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24)
    | ~ spl0_27 ),
    inference(resolution,[],[f5267,f3906]) ).

fof(f3906,plain,
    ( geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72)
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f3904]) ).

fof(f3904,plain,
    ( spl0_27
  <=> geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f5267,plain,
    ! [X0] :
      ( ~ geographicalsubregions(X0,c_georegion_l4_x45_y72)
      | ~ geographicalsubregions(c_georegion_l2_x5_y8,X0) ),
    inference(resolution,[],[f3714,f2686]) ).

fof(f2686,plain,
    ~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72),
    inference(cnf_transformation,[],[f1888]) ).

fof(f1888,plain,
    ( ~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72)
    & mtvisible(c_tptpgeo_member7_mt) ),
    inference(ennf_transformation,[],[f1133]) ).

fof(f1133,negated_conjecture,
    ~ ( mtvisible(c_tptpgeo_member7_mt)
     => geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72) ),
    inference(negated_conjecture,[],[f1132]) ).

fof(f1132,conjecture,
    ( mtvisible(c_tptpgeo_member7_mt)
   => geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query87) ).

fof(f3714,plain,
    ! [X2,X0,X1] :
      ( geographicalsubregions(X0,X2)
      | ~ geographicalsubregions(X1,X2)
      | ~ geographicalsubregions(X0,X1) ),
    inference(cnf_transformation,[],[f2667]) ).

fof(f2667,plain,
    ! [X0,X1,X2] :
      ( geographicalsubregions(X0,X2)
      | ~ geographicalsubregions(X1,X2)
      | ~ geographicalsubregions(X0,X1) ),
    inference(flattening,[],[f2666]) ).

fof(f2666,plain,
    ! [X0,X1,X2] :
      ( geographicalsubregions(X0,X2)
      | ~ geographicalsubregions(X1,X2)
      | ~ geographicalsubregions(X0,X1) ),
    inference(ennf_transformation,[],[f1774]) ).

fof(f1774,plain,
    ! [X0,X1,X2] :
      ( ( geographicalsubregions(X1,X2)
        & geographicalsubregions(X0,X1) )
     => geographicalsubregions(X0,X2) ),
    inference(rectify,[],[f1041]) ).

fof(f1041,axiom,
    ! [X12,X13,X18] :
      ( ( geographicalsubregions(X13,X18)
        & geographicalsubregions(X12,X13) )
     => geographicalsubregions(X12,X18) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_1041) ).

fof(f3918,plain,
    ( ~ spl0_23
    | spl0_29 ),
    inference(avatar_split_clause,[],[f2996,f3915,f3880]) ).

fof(f3880,plain,
    ( spl0_23
  <=> mtvisible(c_tptpgeo_member7_mt) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f2996,plain,
    ( geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(cnf_transformation,[],[f1924]) ).

fof(f1924,plain,
    ( geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(ennf_transformation,[],[f276]) ).

fof(f276,axiom,
    ( mtvisible(c_tptpgeo_member7_mt)
   => geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_276) ).

fof(f3907,plain,
    ( ~ spl0_23
    | spl0_27 ),
    inference(avatar_split_clause,[],[f2994,f3904,f3880]) ).

fof(f2994,plain,
    ( geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(cnf_transformation,[],[f1922]) ).

fof(f1922,plain,
    ( geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(ennf_transformation,[],[f188]) ).

fof(f188,axiom,
    ( mtvisible(c_tptpgeo_member7_mt)
   => geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_188) ).

fof(f3889,plain,
    spl0_23,
    inference(avatar_contradiction_clause,[],[f3888]) ).

fof(f3888,plain,
    ( $false
    | spl0_23 ),
    inference(resolution,[],[f3882,f2685]) ).

fof(f2685,plain,
    mtvisible(c_tptpgeo_member7_mt),
    inference(cnf_transformation,[],[f1888]) ).

fof(f3882,plain,
    ( ~ mtvisible(c_tptpgeo_member7_mt)
    | spl0_23 ),
    inference(avatar_component_clause,[],[f3880]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : CSR037+2 : TPTP v8.2.0. Released v3.4.0.
% 0.05/0.11  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.31  % Computer : n015.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Sun May 19 02:39:53 EDT 2024
% 0.11/0.31  % CPUTime    : 
% 0.15/0.31  % (3403)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.33  % (3406)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.34  % (3407)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.34  % (3408)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.34  % (3410)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.34  % (3409)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.34  % (3405)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.35  % (3404)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.36  TRYING [1]
% 0.15/0.36  TRYING [2]
% 0.15/0.36  TRYING [1]
% 0.15/0.37  TRYING [2]
% 0.15/0.37  % (3406)First to succeed.
% 0.15/0.37  % (3406)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3403"
% 0.15/0.37  % (3406)Refutation found. Thanks to Tanya!
% 0.15/0.37  % SZS status Theorem for theBenchmark
% 0.15/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.37  % (3406)------------------------------
% 0.15/0.37  % (3406)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.37  % (3406)Termination reason: Refutation
% 0.15/0.37  
% 0.15/0.37  % (3406)Memory used [KB]: 3248
% 0.15/0.37  % (3406)Time elapsed: 0.036 s
% 0.15/0.37  % (3406)Instructions burned: 124 (million)
% 0.15/0.37  % (3403)Success in time 0.06 s
%------------------------------------------------------------------------------