%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : PUZ033-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n018.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 : Thu Aug 31 13:12:15 EDT 2023

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   49 (  14 unt;  12 typ;   0 def)
%            Number of atoms       :   76 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   79 (  40   ~;  39   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   13 (  12 usr;  13 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    wind_in_east: $o ).

tff(decl_23,type,
    sunshine: $o ).

tff(decl_24,type,
    cold: $o ).

tff(decl_25,type,
    foggy: $o ).

tff(decl_26,type,
    neighbor_practices_flute: $o ).

tff(decl_27,type,
    fire_smokes: $o ).

tff(decl_28,type,
    door_is_open: $o ).

tff(decl_29,type,
    i_feel_rheumatic: $o ).

tff(decl_30,type,
    fire_is_lit: $o ).

tff(decl_31,type,
    wind_in_gusts: $o ).

tff(decl_32,type,
    headache: $o ).

tff(decl_33,type,
    window_is_shut: $o ).

cnf(c1,axiom,
    ( sunshine
    | ~ wind_in_east ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c1) ).

cnf(c12,hypothesis,
    wind_in_east,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c12) ).

cnf(c9,axiom,
    ( foggy
    | ~ sunshine ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c9) ).

cnf(c11,axiom,
    ( i_feel_rheumatic
    | ~ foggy
    | ~ wind_in_east ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c11) ).

cnf(c2,axiom,
    ( neighbor_practices_flute
    | ~ cold
    | ~ foggy ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c2) ).

cnf(c7,axiom,
    ( cold
    | window_is_shut
    | ~ sunshine
    | ~ foggy ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c7) ).

cnf(prove_window_is_shut,negated_conjecture,
    ~ window_is_shut,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_window_is_shut) ).

cnf(c4,axiom,
    ( fire_is_lit
    | ~ cold
    | ~ i_feel_rheumatic ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c4) ).

cnf(c10,axiom,
    ( ~ neighbor_practices_flute
    | ~ door_is_open ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c10) ).

cnf(c5,axiom,
    ( fire_smokes
    | ~ wind_in_east
    | ~ wind_in_gusts ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c5) ).

cnf(c8,axiom,
    ( wind_in_gusts
    | door_is_open
    | ~ fire_is_lit
    | ~ i_feel_rheumatic ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c8) ).

cnf(c3,axiom,
    ( door_is_open
    | ~ fire_smokes ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c3) ).

cnf(c_0_12,axiom,
    ( sunshine
    | ~ wind_in_east ),
    c1 ).

cnf(c_0_13,hypothesis,
    wind_in_east,
    c12 ).

cnf(c_0_14,axiom,
    ( foggy
    | ~ sunshine ),
    c9 ).

cnf(c_0_15,plain,
    sunshine,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13])]) ).

cnf(c_0_16,axiom,
    ( i_feel_rheumatic
    | ~ foggy
    | ~ wind_in_east ),
    c11 ).

cnf(c_0_17,plain,
    foggy,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15])]) ).

cnf(c_0_18,axiom,
    ( neighbor_practices_flute
    | ~ cold
    | ~ foggy ),
    c2 ).

cnf(c_0_19,axiom,
    ( cold
    | window_is_shut
    | ~ sunshine
    | ~ foggy ),
    c7 ).

cnf(c_0_20,negated_conjecture,
    ~ window_is_shut,
    prove_window_is_shut ).

cnf(c_0_21,axiom,
    ( fire_is_lit
    | ~ cold
    | ~ i_feel_rheumatic ),
    c4 ).

cnf(c_0_22,plain,
    i_feel_rheumatic,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_13]),c_0_17])]) ).

cnf(c_0_23,plain,
    ( neighbor_practices_flute
    | ~ cold ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_17])]) ).

cnf(c_0_24,plain,
    cold,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_15]),c_0_17])]),c_0_20]) ).

cnf(c_0_25,plain,
    ( fire_is_lit
    | ~ cold ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22])]) ).

cnf(c_0_26,axiom,
    ( ~ neighbor_practices_flute
    | ~ door_is_open ),
    c10 ).

cnf(c_0_27,plain,
    neighbor_practices_flute,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24])]) ).

cnf(c_0_28,axiom,
    ( fire_smokes
    | ~ wind_in_east
    | ~ wind_in_gusts ),
    c5 ).

cnf(c_0_29,axiom,
    ( wind_in_gusts
    | door_is_open
    | ~ fire_is_lit
    | ~ i_feel_rheumatic ),
    c8 ).

cnf(c_0_30,plain,
    fire_is_lit,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_24])]) ).

cnf(c_0_31,plain,
    ~ door_is_open,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_27])]) ).

cnf(c_0_32,plain,
    ( fire_smokes
    | ~ wind_in_gusts ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_13])]) ).

cnf(c_0_33,plain,
    wind_in_gusts,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_22]),c_0_30])]),c_0_31]) ).

cnf(c_0_34,axiom,
    ( door_is_open
    | ~ fire_smokes ),
    c3 ).

cnf(c_0_35,plain,
    fire_smokes,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_33])]) ).

cnf(c_0_36,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_35])]),c_0_31]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : PUZ033-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35  % Computer : n018.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   : Sat Aug 26 22:35:30 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.52  start to proof: theBenchmark
% 0.20/0.53  % Version  : CSE_E---1.5
% 0.20/0.53  % Problem  : theBenchmark.p
% 0.20/0.53  % Proof found
% 0.20/0.53  % SZS status Theorem for theBenchmark.p
% 0.20/0.53  % SZS output start Proof
% See solution above
% 0.20/0.54  % Total time : 0.004000 s
% 0.20/0.54  % SZS output end Proof
% 0.20/0.54  % Total time : 0.006000 s
%------------------------------------------------------------------------------