TSTP Solution File: PUZ013-1 by CSE_E---1.5

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%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : PUZ013-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n015.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 13:11:42 EDT 2023

% Result   : Unsatisfiable 0.20s 0.59s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   35 (  11 unt;  13 typ;   0 def)
%            Number of atoms       :   43 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   43 (  22   ~;  21   |;   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  :   14 (  13 usr;  14 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,
    some_english_sing: $o ).

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

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

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

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

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

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

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

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

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

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

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

tff(decl_34,type,
    some_irish_fight_not: $o ).

cnf(c13,axiom,
    ( some_monitors_are_not_awake
    | some_monitors_are_awake ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c13) ).

cnf(prove_some_monitors_are_awake,negated_conjecture,
    ~ some_monitors_are_awake,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_some_monitors_are_awake) ).

cnf(c6,axiom,
    ( some_germans_play
    | ~ some_scotch_dance_not
    | ~ some_irish_fight_not ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c6) ).

cnf(c19,axiom,
    some_scotch_dance_not,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c19) ).

cnf(c10,axiom,
    ( some_irish_fight_not
    | ~ some_english_sing
    | ~ some_monitors_are_not_awake ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c10) ).

cnf(c18,axiom,
    some_english_sing,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c18) ).

cnf(c1,axiom,
    ( some_monitors_are_awake
    | ~ some_english_sing
    | ~ some_english_sing_not ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c1) ).

cnf(c9,axiom,
    ( some_english_sing_not
    | ~ some_english_sing
    | ~ some_scotch_dance_not
    | ~ some_germans_play ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c9) ).

cnf(c_0_8,axiom,
    ( some_monitors_are_not_awake
    | some_monitors_are_awake ),
    c13 ).

cnf(c_0_9,negated_conjecture,
    ~ some_monitors_are_awake,
    prove_some_monitors_are_awake ).

cnf(c_0_10,axiom,
    ( some_germans_play
    | ~ some_scotch_dance_not
    | ~ some_irish_fight_not ),
    c6 ).

cnf(c_0_11,axiom,
    some_scotch_dance_not,
    c19 ).

cnf(c_0_12,axiom,
    ( some_irish_fight_not
    | ~ some_english_sing
    | ~ some_monitors_are_not_awake ),
    c10 ).

cnf(c_0_13,axiom,
    some_english_sing,
    c18 ).

cnf(c_0_14,plain,
    some_monitors_are_not_awake,
    inference(sr,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_15,plain,
    ( some_germans_play
    | ~ some_irish_fight_not ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11])]) ).

cnf(c_0_16,plain,
    some_irish_fight_not,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).

cnf(c_0_17,axiom,
    ( some_monitors_are_awake
    | ~ some_english_sing
    | ~ some_english_sing_not ),
    c1 ).

cnf(c_0_18,axiom,
    ( some_english_sing_not
    | ~ some_english_sing
    | ~ some_scotch_dance_not
    | ~ some_germans_play ),
    c9 ).

cnf(c_0_19,plain,
    some_germans_play,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16])]) ).

cnf(c_0_20,plain,
    ~ some_english_sing_not,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_13])]),c_0_9]) ).

cnf(c_0_21,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_13]),c_0_19]),c_0_11])]),c_0_20]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : PUZ013-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34  % Computer : n015.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Sat Aug 26 22:49:38 EDT 2023
% 0.20/0.34  % CPUTime  : 
% 0.20/0.58  start to proof: theBenchmark
% 0.20/0.59  % Version  : CSE_E---1.5
% 0.20/0.59  % Problem  : theBenchmark.p
% 0.20/0.59  % Proof found
% 0.20/0.59  % SZS status Theorem for theBenchmark.p
% 0.20/0.59  % SZS output start Proof
% See solution above
% 0.20/0.59  % Total time : 0.003000 s
% 0.20/0.59  % SZS output end Proof
% 0.20/0.59  % Total time : 0.006000 s
%------------------------------------------------------------------------------