%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : PUZ033-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n019.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 18:20:51 EDT 2022

% Result   : Unsatisfiable 0.13s 0.36s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   31 (  13 unt;   6 nHn;  31 RR)
%            Number of literals    :   59 (   0 equ;  25 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :   12 (  11 usr;  12 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c1,axiom,
    ( ~ wind_in_east
    | sunshine ) ).

cnf(c2,axiom,
    ( ~ cold
    | ~ foggy
    | neighbor_practices_flute ) ).

cnf(c3,axiom,
    ( ~ fire_smokes
    | door_is_open ) ).

cnf(c4,axiom,
    ( ~ cold
    | ~ i_feel_rheumatic
    | fire_is_lit ) ).

cnf(c5,axiom,
    ( ~ wind_in_east
    | ~ wind_in_gusts
    | fire_smokes ) ).

cnf(c7,axiom,
    ( ~ sunshine
    | cold
    | ~ foggy
    | window_is_shut ) ).

cnf(c8,axiom,
    ( wind_in_gusts
    | ~ fire_is_lit
    | door_is_open
    | ~ i_feel_rheumatic ) ).

cnf(c9,axiom,
    ( ~ sunshine
    | foggy ) ).

cnf(c10,axiom,
    ( ~ neighbor_practices_flute
    | ~ door_is_open ) ).

cnf(c11,axiom,
    ( ~ foggy
    | ~ wind_in_east
    | i_feel_rheumatic ) ).

cnf(c12,hypothesis,
    wind_in_east ).

cnf(prove_window_is_shut,negated_conjecture,
    ~ window_is_shut ).

cnf(refute_0_0,plain,
    ( ~ wind_in_gusts
    | fire_smokes ),
    inference(resolve,[$cnf( wind_in_east )],[c12,c5]) ).

cnf(refute_0_1,plain,
    sunshine,
    inference(resolve,[$cnf( wind_in_east )],[c12,c1]) ).

cnf(refute_0_2,plain,
    foggy,
    inference(resolve,[$cnf( sunshine )],[refute_0_1,c9]) ).

cnf(refute_0_3,plain,
    ( ~ wind_in_east
    | i_feel_rheumatic ),
    inference(resolve,[$cnf( foggy )],[refute_0_2,c11]) ).

cnf(refute_0_4,plain,
    i_feel_rheumatic,
    inference(resolve,[$cnf( wind_in_east )],[c12,refute_0_3]) ).

cnf(refute_0_5,plain,
    ( ~ fire_is_lit
    | door_is_open
    | wind_in_gusts ),
    inference(resolve,[$cnf( i_feel_rheumatic )],[refute_0_4,c8]) ).

cnf(refute_0_6,plain,
    ( ~ sunshine
    | cold
    | window_is_shut ),
    inference(resolve,[$cnf( foggy )],[refute_0_2,c7]) ).

cnf(refute_0_7,plain,
    ( cold
    | window_is_shut ),
    inference(resolve,[$cnf( sunshine )],[refute_0_1,refute_0_6]) ).

cnf(refute_0_8,plain,
    cold,
    inference(resolve,[$cnf( window_is_shut )],[refute_0_7,prove_window_is_shut]) ).

cnf(refute_0_9,plain,
    ( ~ i_feel_rheumatic
    | fire_is_lit ),
    inference(resolve,[$cnf( cold )],[refute_0_8,c4]) ).

cnf(refute_0_10,plain,
    fire_is_lit,
    inference(resolve,[$cnf( i_feel_rheumatic )],[refute_0_4,refute_0_9]) ).

cnf(refute_0_11,plain,
    ( door_is_open
    | wind_in_gusts ),
    inference(resolve,[$cnf( fire_is_lit )],[refute_0_10,refute_0_5]) ).

cnf(refute_0_12,plain,
    ( ~ cold
    | neighbor_practices_flute ),
    inference(resolve,[$cnf( foggy )],[refute_0_2,c2]) ).

cnf(refute_0_13,plain,
    neighbor_practices_flute,
    inference(resolve,[$cnf( cold )],[refute_0_8,refute_0_12]) ).

cnf(refute_0_14,plain,
    ~ door_is_open,
    inference(resolve,[$cnf( neighbor_practices_flute )],[refute_0_13,c10]) ).

cnf(refute_0_15,plain,
    wind_in_gusts,
    inference(resolve,[$cnf( door_is_open )],[refute_0_11,refute_0_14]) ).

cnf(refute_0_16,plain,
    fire_smokes,
    inference(resolve,[$cnf( wind_in_gusts )],[refute_0_15,refute_0_0]) ).

cnf(refute_0_17,plain,
    door_is_open,
    inference(resolve,[$cnf( fire_smokes )],[refute_0_16,c3]) ).

cnf(refute_0_18,plain,
    $false,
    inference(resolve,[$cnf( door_is_open )],[refute_0_17,refute_0_14]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : PUZ033-1 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.14  % Command  : metis --show proof --show saturation %s
% 0.13/0.35  % Computer : n019.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  : 600
% 0.13/0.35  % DateTime : Sat May 28 23:56:56 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.36  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.36  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36  
% 0.13/0.36  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.13/0.36  
%------------------------------------------------------------------------------