TSTP Solution File: PHI012+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : PHI012+1 : TPTP v8.1.2. Released v7.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.sQBGALKXVC true

% Computer : n012.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 12:58:51 EDT 2023

% Result   : Theorem 0.20s 0.73s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   60 (  18 unt;   8 typ;   0 def)
%            Number of atoms       :  152 (  12 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  469 (  96   ~;  81   |;  10   &; 273   @)
%                                         (   1 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   5 con; 0-3 aty)
%            Number of variables   :   40 (   0   ^;  35   !;   5   ?;  40   :)

% Comments : 
%------------------------------------------------------------------------------
thf(object_type,type,
    object: $i > $o ).

thf(exemplifies_property_type,type,
    exemplifies_property: $i > $i > $o ).

thf(greater_than_type,type,
    greater_than: $i ).

thf(exemplifies_relation_type,type,
    exemplifies_relation: $i > $i > $i > $o ).

thf(none_greater_type,type,
    none_greater: $i ).

thf(sk__1_type,type,
    sk__1: $i > $i ).

thf(conceivable_type,type,
    conceivable: $i ).

thf(sk__2_type,type,
    sk__2: $i ).

thf(lemma_2,conjecture,
    ( ? [X: $i] :
        ( ( exemplifies_property @ none_greater @ X )
        & ( object @ X ) )
   => ? [X: $i] :
        ( ! [Y: $i] :
            ( ( object @ Y )
           => ( ( exemplifies_property @ none_greater @ Y )
             => ( Y = X ) ) )
        & ( exemplifies_property @ none_greater @ X )
        & ( object @ X ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ? [X: $i] :
          ( ( exemplifies_property @ none_greater @ X )
          & ( object @ X ) )
     => ? [X: $i] :
          ( ! [Y: $i] :
              ( ( object @ Y )
             => ( ( exemplifies_property @ none_greater @ Y )
               => ( Y = X ) ) )
          & ( exemplifies_property @ none_greater @ X )
          & ( object @ X ) ) ),
    inference('cnf.neg',[status(esa)],[lemma_2]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i] :
      ( ( object @ ( sk__1 @ X0 ) )
      | ~ ( exemplifies_property @ none_greater @ X0 )
      | ~ ( object @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(connectedness_of_greater_than,axiom,
    ! [X: $i,Y: $i] :
      ( ( ( object @ X )
        & ( object @ Y ) )
     => ( ( exemplifies_relation @ greater_than @ X @ Y )
        | ( exemplifies_relation @ greater_than @ Y @ X )
        | ( X = Y ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( object @ X0 )
      | ~ ( object @ X1 )
      | ( exemplifies_relation @ greater_than @ X0 @ X1 )
      | ( exemplifies_relation @ greater_than @ X1 @ X0 )
      | ( X0 = X1 ) ),
    inference(cnf,[status(esa)],[connectedness_of_greater_than]) ).

thf(zip_derived_cl6,plain,
    exemplifies_property @ none_greater @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i] :
      ( ( exemplifies_property @ none_greater @ ( sk__1 @ X0 ) )
      | ~ ( exemplifies_property @ none_greater @ X0 )
      | ~ ( object @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(definition_none_greater,axiom,
    ! [X: $i] :
      ( ( object @ X )
     => ( ( exemplifies_property @ none_greater @ X )
      <=> ( ( exemplifies_property @ conceivable @ X )
          & ~ ? [Y: $i] :
                ( ( exemplifies_property @ conceivable @ Y )
                & ( exemplifies_relation @ greater_than @ Y @ X )
                & ( object @ Y ) ) ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i] :
      ( ~ ( exemplifies_property @ none_greater @ X0 )
      | ( exemplifies_property @ conceivable @ X0 )
      | ~ ( object @ X0 ) ),
    inference(cnf,[status(esa)],[definition_none_greater]) ).

thf(zip_derived_cl6_001,plain,
    exemplifies_property @ none_greater @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( exemplifies_property @ none_greater @ X0 )
      | ~ ( exemplifies_property @ conceivable @ X1 )
      | ~ ( exemplifies_relation @ greater_than @ X1 @ X0 )
      | ~ ( object @ X1 )
      | ~ ( object @ X0 ) ),
    inference(cnf,[status(esa)],[definition_none_greater]) ).

thf(zip_derived_cl80,plain,
    ! [X0: $i] :
      ( ~ ( exemplifies_property @ conceivable @ X0 )
      | ~ ( exemplifies_relation @ greater_than @ X0 @ sk__2 )
      | ~ ( object @ X0 )
      | ~ ( object @ sk__2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl3]) ).

thf(zip_derived_cl7,plain,
    object @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl81,plain,
    ! [X0: $i] :
      ( ~ ( exemplifies_property @ conceivable @ X0 )
      | ~ ( exemplifies_relation @ greater_than @ X0 @ sk__2 )
      | ~ ( object @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl80,zip_derived_cl7]) ).

thf(zip_derived_cl86,plain,
    ! [X0: $i] :
      ( ~ ( object @ X0 )
      | ~ ( exemplifies_property @ none_greater @ X0 )
      | ~ ( exemplifies_relation @ greater_than @ X0 @ sk__2 )
      | ~ ( object @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl81]) ).

thf(zip_derived_cl88,plain,
    ! [X0: $i] :
      ( ~ ( exemplifies_relation @ greater_than @ X0 @ sk__2 )
      | ~ ( exemplifies_property @ none_greater @ X0 )
      | ~ ( object @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl86]) ).

thf(zip_derived_cl93,plain,
    ! [X0: $i] :
      ( ~ ( object @ X0 )
      | ~ ( exemplifies_property @ none_greater @ X0 )
      | ~ ( exemplifies_relation @ greater_than @ ( sk__1 @ X0 ) @ sk__2 )
      | ~ ( object @ ( sk__1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl88]) ).

thf(zip_derived_cl10_002,plain,
    ! [X0: $i] :
      ( ( object @ ( sk__1 @ X0 ) )
      | ~ ( exemplifies_property @ none_greater @ X0 )
      | ~ ( object @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl100,plain,
    ! [X0: $i] :
      ( ~ ( exemplifies_relation @ greater_than @ ( sk__1 @ X0 ) @ sk__2 )
      | ~ ( exemplifies_property @ none_greater @ X0 )
      | ~ ( object @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl93,zip_derived_cl10]) ).

thf(zip_derived_cl102,plain,
    ( ~ ( exemplifies_relation @ greater_than @ ( sk__1 @ sk__2 ) @ sk__2 )
    | ~ ( object @ sk__2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl100]) ).

thf(zip_derived_cl7_003,plain,
    object @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl103,plain,
    ~ ( exemplifies_relation @ greater_than @ ( sk__1 @ sk__2 ) @ sk__2 ),
    inference(demod,[status(thm)],[zip_derived_cl102,zip_derived_cl7]) ).

thf(zip_derived_cl104,plain,
    ( ( sk__2
      = ( sk__1 @ sk__2 ) )
    | ( exemplifies_relation @ greater_than @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ~ ( object @ ( sk__1 @ sk__2 ) )
    | ~ ( object @ sk__2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl103]) ).

thf(zip_derived_cl7_004,plain,
    object @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl106,plain,
    ( ( sk__2
      = ( sk__1 @ sk__2 ) )
    | ( exemplifies_relation @ greater_than @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ~ ( object @ ( sk__1 @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl104,zip_derived_cl7]) ).

thf(zip_derived_cl119,plain,
    ( ~ ( object @ sk__2 )
    | ~ ( exemplifies_property @ none_greater @ sk__2 )
    | ( sk__2
      = ( sk__1 @ sk__2 ) )
    | ( exemplifies_relation @ greater_than @ sk__2 @ ( sk__1 @ sk__2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl106]) ).

thf(zip_derived_cl7_005,plain,
    object @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6_006,plain,
    exemplifies_property @ none_greater @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl120,plain,
    ( ( sk__2
      = ( sk__1 @ sk__2 ) )
    | ( exemplifies_relation @ greater_than @ sk__2 @ ( sk__1 @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl7,zip_derived_cl6]) ).

thf(zip_derived_cl6_007,plain,
    exemplifies_property @ none_greater @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6_008,plain,
    exemplifies_property @ none_greater @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4_009,plain,
    ! [X0: $i] :
      ( ~ ( exemplifies_property @ none_greater @ X0 )
      | ( exemplifies_property @ conceivable @ X0 )
      | ~ ( object @ X0 ) ),
    inference(cnf,[status(esa)],[definition_none_greater]) ).

thf(zip_derived_cl8_010,plain,
    ! [X0: $i] :
      ( ( exemplifies_property @ none_greater @ ( sk__1 @ X0 ) )
      | ~ ( exemplifies_property @ none_greater @ X0 )
      | ~ ( object @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3_011,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( exemplifies_property @ none_greater @ X0 )
      | ~ ( exemplifies_property @ conceivable @ X1 )
      | ~ ( exemplifies_relation @ greater_than @ X1 @ X0 )
      | ~ ( object @ X1 )
      | ~ ( object @ X0 ) ),
    inference(cnf,[status(esa)],[definition_none_greater]) ).

thf(zip_derived_cl79,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( object @ X0 )
      | ~ ( exemplifies_property @ none_greater @ X0 )
      | ~ ( exemplifies_property @ conceivable @ X1 )
      | ~ ( exemplifies_relation @ greater_than @ X1 @ ( sk__1 @ X0 ) )
      | ~ ( object @ X1 )
      | ~ ( object @ ( sk__1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl3]) ).

thf(zip_derived_cl10_012,plain,
    ! [X0: $i] :
      ( ( object @ ( sk__1 @ X0 ) )
      | ~ ( exemplifies_property @ none_greater @ X0 )
      | ~ ( object @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl82,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( object @ X1 )
      | ~ ( exemplifies_relation @ greater_than @ X1 @ ( sk__1 @ X0 ) )
      | ~ ( exemplifies_property @ conceivable @ X1 )
      | ~ ( exemplifies_property @ none_greater @ X0 )
      | ~ ( object @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl79,zip_derived_cl10]) ).

thf(zip_derived_cl83,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( object @ X0 )
      | ~ ( exemplifies_property @ none_greater @ X0 )
      | ~ ( object @ X0 )
      | ~ ( exemplifies_relation @ greater_than @ X0 @ ( sk__1 @ X1 ) )
      | ~ ( exemplifies_property @ none_greater @ X1 )
      | ~ ( object @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl82]) ).

thf(zip_derived_cl85,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( object @ X1 )
      | ~ ( exemplifies_property @ none_greater @ X1 )
      | ~ ( exemplifies_relation @ greater_than @ X0 @ ( sk__1 @ X1 ) )
      | ~ ( exemplifies_property @ none_greater @ X0 )
      | ~ ( object @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl83]) ).

thf(zip_derived_cl113,plain,
    ! [X0: $i] :
      ( ~ ( object @ sk__2 )
      | ~ ( exemplifies_relation @ greater_than @ X0 @ ( sk__1 @ sk__2 ) )
      | ~ ( exemplifies_property @ none_greater @ X0 )
      | ~ ( object @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl85]) ).

thf(zip_derived_cl7_013,plain,
    object @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl114,plain,
    ! [X0: $i] :
      ( ~ ( exemplifies_relation @ greater_than @ X0 @ ( sk__1 @ sk__2 ) )
      | ~ ( exemplifies_property @ none_greater @ X0 )
      | ~ ( object @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl7]) ).

thf(zip_derived_cl126,plain,
    ( ~ ( exemplifies_relation @ greater_than @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ~ ( object @ sk__2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl114]) ).

thf(zip_derived_cl7_014,plain,
    object @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl127,plain,
    ~ ( exemplifies_relation @ greater_than @ sk__2 @ ( sk__1 @ sk__2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl126,zip_derived_cl7]) ).

thf(zip_derived_cl143,plain,
    ( sk__2
    = ( sk__1 @ sk__2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl120,zip_derived_cl127]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i] :
      ( ( ( sk__1 @ X0 )
       != X0 )
      | ~ ( exemplifies_property @ none_greater @ X0 )
      | ~ ( object @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl150,plain,
    ( ( sk__2 != sk__2 )
    | ~ ( exemplifies_property @ none_greater @ sk__2 )
    | ~ ( object @ sk__2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl143,zip_derived_cl9]) ).

thf(zip_derived_cl6_015,plain,
    exemplifies_property @ none_greater @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7_016,plain,
    object @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl153,plain,
    sk__2 != sk__2,
    inference(demod,[status(thm)],[zip_derived_cl150,zip_derived_cl6,zip_derived_cl7]) ).

thf(zip_derived_cl154,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl153]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : PHI012+1 : TPTP v8.1.2. Released v7.2.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.sQBGALKXVC true
% 0.13/0.34  % Computer : n012.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sun Aug 27 08:48:40 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.19/0.35  % Python version: Python 3.6.8
% 0.19/0.35  % Running in FO mode
% 0.20/0.64  % Total configuration time : 435
% 0.20/0.64  % Estimated wc time : 1092
% 0.20/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.73  % Solved by fo/fo6_bce.sh.
% 0.20/0.73  % BCE start: 11
% 0.20/0.73  % BCE eliminated: 0
% 0.20/0.73  % PE start: 11
% 0.20/0.73  logic: eq
% 0.20/0.73  % PE eliminated: 0
% 0.20/0.73  % done 29 iterations in 0.025s
% 0.20/0.73  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.20/0.73  % SZS output start Refutation
% See solution above
% 0.20/0.73  
% 0.20/0.73  
% 0.20/0.74  % Terminating...
% 1.48/0.85  % Runner terminated.
% 1.48/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------