TSTP Solution File: PUZ014-1 by CSE_E---1.5

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%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : PUZ014-1 : 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 : 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 13:11:43 EDT 2023

% Result   : Unsatisfiable 0.22s 0.58s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   28
% Syntax   : Number of formulae    :   60 (  16 unt;  13 typ;   0 def)
%            Number of atoms       :  102 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  111 (  56   ~;  55   |;   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(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(prove_all_monitors_are_awake,negated_conjecture,
    some_monitors_are_not_awake,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_all_monitors_are_awake) ).

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(c4,axiom,
    ( some_irish_fight
    | ~ some_monitors_are_awake
    | ~ some_monitors_are_not_awake ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c4) ).

cnf(c7,axiom,
    ( ~ some_monitors_are_awake
    | ~ some_welsh_eat
    | ~ some_scotch_dance ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c7) ).

cnf(c2,axiom,
    ( some_welsh_eat
    | ~ some_scotch_dance
    | ~ some_irish_fight ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c2) ).

cnf(c8,axiom,
    ( ~ some_germans_play_not
    | ~ some_welsh_eat_not
    | ~ some_irish_fight ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c8) ).

cnf(c5,axiom,
    ( some_scotch_dance
    | some_welsh_eat_not
    | ~ some_germans_play ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c5) ).

cnf(c3,axiom,
    ( some_germans_play_not
    | some_of_the_eleven_are_not_oiling
    | ~ some_germans_play ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c3) ).

cnf(c17,axiom,
    ( some_germans_play
    | some_germans_play_not ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c17) ).

cnf(c11,axiom,
    ( some_scotch_dance
    | ~ some_monitors_are_awake
    | ~ some_of_the_eleven_are_not_oiling ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c11) ).

cnf(c_0_15,axiom,
    ( some_germans_play
    | ~ some_scotch_dance_not
    | ~ some_irish_fight_not ),
    c6 ).

cnf(c_0_16,axiom,
    some_scotch_dance_not,
    c19 ).

cnf(c_0_17,axiom,
    ( some_irish_fight_not
    | ~ some_english_sing
    | ~ some_monitors_are_not_awake ),
    c10 ).

cnf(c_0_18,axiom,
    some_english_sing,
    c18 ).

cnf(c_0_19,negated_conjecture,
    some_monitors_are_not_awake,
    prove_all_monitors_are_awake ).

cnf(c_0_20,plain,
    ( some_germans_play
    | ~ some_irish_fight_not ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16])]) ).

cnf(c_0_21,plain,
    some_irish_fight_not,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).

cnf(c_0_22,axiom,
    ( some_monitors_are_awake
    | ~ some_english_sing
    | ~ some_english_sing_not ),
    c1 ).

cnf(c_0_23,axiom,
    ( some_english_sing_not
    | ~ some_english_sing
    | ~ some_scotch_dance_not
    | ~ some_germans_play ),
    c9 ).

cnf(c_0_24,plain,
    some_germans_play,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21])]) ).

cnf(c_0_25,axiom,
    ( some_irish_fight
    | ~ some_monitors_are_awake
    | ~ some_monitors_are_not_awake ),
    c4 ).

cnf(c_0_26,plain,
    ( some_monitors_are_awake
    | ~ some_english_sing_not ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_18])]) ).

cnf(c_0_27,plain,
    some_english_sing_not,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_18]),c_0_24]),c_0_16])]) ).

cnf(c_0_28,plain,
    ( some_irish_fight
    | ~ some_monitors_are_awake ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_19])]) ).

cnf(c_0_29,plain,
    some_monitors_are_awake,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_27])]) ).

cnf(c_0_30,axiom,
    ( ~ some_monitors_are_awake
    | ~ some_welsh_eat
    | ~ some_scotch_dance ),
    c7 ).

cnf(c_0_31,axiom,
    ( some_welsh_eat
    | ~ some_scotch_dance
    | ~ some_irish_fight ),
    c2 ).

cnf(c_0_32,plain,
    some_irish_fight,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_29])]) ).

cnf(c_0_33,plain,
    ( ~ some_welsh_eat
    | ~ some_scotch_dance ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_29])]) ).

cnf(c_0_34,axiom,
    ( ~ some_germans_play_not
    | ~ some_welsh_eat_not
    | ~ some_irish_fight ),
    c8 ).

cnf(c_0_35,axiom,
    ( some_scotch_dance
    | some_welsh_eat_not
    | ~ some_germans_play ),
    c5 ).

cnf(c_0_36,plain,
    ~ some_scotch_dance,
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_32])]),c_0_33]) ).

cnf(c_0_37,axiom,
    ( some_germans_play_not
    | some_of_the_eleven_are_not_oiling
    | ~ some_germans_play ),
    c3 ).

cnf(c_0_38,axiom,
    ( some_germans_play
    | some_germans_play_not ),
    c17 ).

cnf(c_0_39,plain,
    ( ~ some_welsh_eat_not
    | ~ some_germans_play_not ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_32])]) ).

cnf(c_0_40,plain,
    some_welsh_eat_not,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_24])]),c_0_36]) ).

cnf(c_0_41,axiom,
    ( some_scotch_dance
    | ~ some_monitors_are_awake
    | ~ some_of_the_eleven_are_not_oiling ),
    c11 ).

cnf(c_0_42,plain,
    ( some_of_the_eleven_are_not_oiling
    | some_germans_play_not ),
    inference(csr,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_43,plain,
    ~ some_germans_play_not,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_40])]) ).

cnf(c_0_44,plain,
    ( some_scotch_dance
    | ~ some_of_the_eleven_are_not_oiling ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_29])]) ).

cnf(c_0_45,plain,
    some_of_the_eleven_are_not_oiling,
    inference(sr,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_46,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_45])]),c_0_36]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : PUZ014-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35  % Computer : n018.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sat Aug 26 22:55:00 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.22/0.57  start to proof: theBenchmark
% 0.22/0.58  % Version  : CSE_E---1.5
% 0.22/0.58  % Problem  : theBenchmark.p
% 0.22/0.58  % Proof found
% 0.22/0.58  % SZS status Theorem for theBenchmark.p
% 0.22/0.58  % SZS output start Proof
% See solution above
% 0.22/0.59  % Total time : 0.003000 s
% 0.22/0.59  % SZS output end Proof
% 0.22/0.59  % Total time : 0.006000 s
%------------------------------------------------------------------------------