TSTP Solution File: PUZ011-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : PUZ011-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n011.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 18:11:30 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   22 (   9 unt;   0 def)
%            Number of atoms       :   43 (   0 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   43 (  22   ~;  18   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   4 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f132,plain,
    $false,
    inference(avatar_sat_refutation,[],[f113,f117,f123,f131]) ).

fof(f131,plain,
    ~ spl0_10,
    inference(avatar_contradiction_clause,[],[f130]) ).

fof(f130,plain,
    ( $false
    | ~ spl0_10 ),
    inference(resolution,[],[f127,f21]) ).

fof(f21,axiom,
    african(somalia),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',somalia) ).

fof(f127,plain,
    ( ~ african(somalia)
    | ~ spl0_10 ),
    inference(resolution,[],[f83,f12]) ).

fof(f12,axiom,
    borders(indian,somalia),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',indian_somalia) ).

fof(f83,plain,
    ( ! [X8] :
        ( ~ borders(indian,X8)
        | ~ african(X8) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f82]) ).

fof(f82,plain,
    ( spl0_10
  <=> ! [X8] :
        ( ~ borders(indian,X8)
        | ~ african(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f123,plain,
    spl0_16,
    inference(avatar_contradiction_clause,[],[f122]) ).

fof(f122,plain,
    ( $false
    | spl0_16 ),
    inference(resolution,[],[f112,f25]) ).

fof(f25,axiom,
    asian(pakistan),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pakistan) ).

fof(f112,plain,
    ( ~ asian(pakistan)
    | spl0_16 ),
    inference(avatar_component_clause,[],[f110]) ).

fof(f110,plain,
    ( spl0_16
  <=> asian(pakistan) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f117,plain,
    spl0_9,
    inference(avatar_contradiction_clause,[],[f116]) ).

fof(f116,plain,
    ( $false
    | spl0_9 ),
    inference(resolution,[],[f80,f2]) ).

fof(f2,axiom,
    ocean(indian),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',indian) ).

fof(f80,plain,
    ( ~ ocean(indian)
    | spl0_9 ),
    inference(avatar_component_clause,[],[f78]) ).

fof(f78,plain,
    ( spl0_9
  <=> ocean(indian) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f113,plain,
    ( ~ spl0_16
    | spl0_10
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f35,f78,f82,f110]) ).

fof(f35,plain,
    ! [X7] :
      ( ~ ocean(indian)
      | ~ african(X7)
      | ~ borders(indian,X7)
      | ~ asian(pakistan) ),
    inference(resolution,[],[f27,f10]) ).

fof(f10,axiom,
    borders(indian,pakistan),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',indian_pakistan) ).

fof(f27,axiom,
    ! [X2,X0,X1] :
      ( ~ borders(X0,X2)
      | ~ borders(X0,X1)
      | ~ ocean(X0)
      | ~ african(X1)
      | ~ asian(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_there_is_a_common_ocean) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : PUZ011-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n011.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 10:32:55 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.48  % (18048)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.49  % (18041)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50  % (18056)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.50  % (18048)First to succeed.
% 0.19/0.50  % (18048)Refutation found. Thanks to Tanya!
% 0.19/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50  % (18048)------------------------------
% 0.19/0.50  % (18048)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (18048)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (18048)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (18048)Memory used [KB]: 5500
% 0.19/0.50  % (18048)Time elapsed: 0.109 s
% 0.19/0.50  % (18048)Instructions burned: 2 (million)
% 0.19/0.50  % (18048)------------------------------
% 0.19/0.50  % (18048)------------------------------
% 0.19/0.50  % (18036)Success in time 0.156 s
%------------------------------------------------------------------------------