%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : PUZ011-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n029.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  : 600s
% DateTime : Mon Jul 18 18:20:26 EDT 2022

% Result   : Unsatisfiable 0.12s 0.34s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   13 (   7 unt;   0 nHn;  13 RR)
%            Number of literals    :   28 (   0 equ;  22 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :    7 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(indian,hypothesis,
    ocean(indian) ).

cnf(indian_india,hypothesis,
    borders(indian,india) ).

cnf(indian_kenya,hypothesis,
    borders(indian,kenya) ).

cnf(kenya,hypothesis,
    african(kenya) ).

cnf(india,hypothesis,
    asian(india) ).

cnf(prove_there_is_a_common_ocean,negated_conjecture,
    ( ~ ocean(Ocean)
    | ~ borders(Ocean,African)
    | ~ african(African)
    | ~ borders(Ocean,Asian)
    | ~ asian(Asian) ) ).

cnf(refute_0_0,plain,
    ( ~ african(kenya)
    | ~ asian(X_3)
    | ~ borders(indian,X_3)
    | ~ borders(indian,kenya)
    | ~ ocean(indian) ),
    inference(subst,[],[prove_there_is_a_common_ocean:[bind(African,$fot(kenya)),bind(Asian,$fot(X_3)),bind(Ocean,$fot(indian))]]) ).

cnf(refute_0_1,plain,
    ( ~ african(kenya)
    | ~ asian(X_3)
    | ~ borders(indian,X_3)
    | ~ ocean(indian) ),
    inference(resolve,[$cnf( borders(indian,kenya) )],[indian_kenya,refute_0_0]) ).

cnf(refute_0_2,plain,
    ( ~ asian(X_3)
    | ~ borders(indian,X_3)
    | ~ ocean(indian) ),
    inference(resolve,[$cnf( african(kenya) )],[kenya,refute_0_1]) ).

cnf(refute_0_3,plain,
    ( ~ asian(X_3)
    | ~ borders(indian,X_3) ),
    inference(resolve,[$cnf( ocean(indian) )],[indian,refute_0_2]) ).

cnf(refute_0_4,plain,
    ( ~ asian(india)
    | ~ borders(indian,india) ),
    inference(subst,[],[refute_0_3:[bind(X_3,$fot(india))]]) ).

cnf(refute_0_5,plain,
    ~ asian(india),
    inference(resolve,[$cnf( borders(indian,india) )],[indian_india,refute_0_4]) ).

cnf(refute_0_6,plain,
    $false,
    inference(resolve,[$cnf( asian(india) )],[india,refute_0_5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : PUZ011-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n029.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat May 28 22:46:12 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.34  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34  
% 0.12/0.34  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.34  
%------------------------------------------------------------------------------