TSTP Solution File: CSR047+2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : CSR047+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n014.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 : Wed Aug 31 15:54:43 EDT 2022

% Result   : Theorem 1.24s 0.54s
% Output   : Refutation 1.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   21 (   5 unt;   0 def)
%            Number of atoms       :   37 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   28 (  12   ~;   8   |;   1   &)
%                                         (   2 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1166,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1161,f1162,f1165]) ).

fof(f1165,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f1164]) ).

fof(f1164,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f1163,f1147]) ).

fof(f1147,plain,
    ~ borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50),
    inference(cnf_transformation,[],[f1144]) ).

fof(f1144,plain,
    ( ~ borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50)
    & mtvisible(c_tptpgeo_member4_mt) ),
    inference(ennf_transformation,[],[f1133]) ).

fof(f1133,negated_conjecture,
    ~ ( mtvisible(c_tptpgeo_member4_mt)
     => borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50) ),
    inference(negated_conjecture,[],[f1132]) ).

fof(f1132,conjecture,
    ( mtvisible(c_tptpgeo_member4_mt)
   => borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query97) ).

fof(f1163,plain,
    ( borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50)
    | ~ spl0_2 ),
    inference(resolution,[],[f1149,f1160]) ).

fof(f1160,plain,
    ( borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f1158]) ).

fof(f1158,plain,
    ( spl0_2
  <=> borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f1149,plain,
    ! [X0,X1] :
      ( ~ borderson(X1,X0)
      | borderson(X0,X1) ),
    inference(cnf_transformation,[],[f1138]) ).

fof(f1138,plain,
    ! [X0,X1] :
      ( borderson(X0,X1)
      | ~ borderson(X1,X0) ),
    inference(ennf_transformation,[],[f1134]) ).

fof(f1134,plain,
    ! [X1,X0] :
      ( borderson(X1,X0)
     => borderson(X0,X1) ),
    inference(rectify,[],[f900]) ).

fof(f900,axiom,
    ! [X13,X12] :
      ( borderson(X12,X13)
     => borderson(X13,X12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_900) ).

fof(f1162,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f1146,f1154]) ).

fof(f1154,plain,
    ( spl0_1
  <=> mtvisible(c_tptpgeo_member4_mt) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f1146,plain,
    mtvisible(c_tptpgeo_member4_mt),
    inference(cnf_transformation,[],[f1144]) ).

fof(f1161,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f1150,f1158,f1154]) ).

fof(f1150,plain,
    ( borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50)
    | ~ mtvisible(c_tptpgeo_member4_mt) ),
    inference(cnf_transformation,[],[f1141]) ).

fof(f1141,plain,
    ( ~ mtvisible(c_tptpgeo_member4_mt)
    | borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50) ),
    inference(ennf_transformation,[],[f383]) ).

fof(f383,axiom,
    ( mtvisible(c_tptpgeo_member4_mt)
   => borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_383) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : CSR047+2 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n014.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   : Mon Aug 29 18:14:18 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.53  % (11949)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53  % (11927)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.53  % (11927)First to succeed.
% 0.20/0.54  % (11937)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.24/0.54  % (11927)Refutation found. Thanks to Tanya!
% 1.24/0.54  % SZS status Theorem for theBenchmark
% 1.24/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 1.24/0.54  % (11927)------------------------------
% 1.24/0.54  % (11927)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.24/0.54  % (11927)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.24/0.54  % (11927)Termination reason: Refutation
% 1.24/0.54  
% 1.24/0.54  % (11927)Memory used [KB]: 7036
% 1.24/0.54  % (11927)Time elapsed: 0.099 s
% 1.24/0.54  % (11927)Instructions burned: 5 (million)
% 1.24/0.54  % (11927)------------------------------
% 1.24/0.54  % (11927)------------------------------
% 1.24/0.54  % (11905)Success in time 0.184 s
%------------------------------------------------------------------------------