TSTP Solution File: GEO081+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO081+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.46CnhO1IwW true

% Computer : n020.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 : Wed Aug 30 23:56:27 EDT 2023

% Result   : Theorem 1.34s 0.78s
% Output   : Refutation 1.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   23 (   5 unt;   6 typ;   0 def)
%            Number of atoms       :   34 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  102 (  11   ~;  11   |;   2   &;  74   @)
%                                         (   1 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   23 (   0   ^;  23   !;   0   ?;  23   :)

% Comments : 
%------------------------------------------------------------------------------
thf(incident_c_type,type,
    incident_c: $i > $i > $o ).

thf(part_of_type,type,
    part_of: $i > $i > $o ).

thf(sk__13_type,type,
    sk__13: $i ).

thf(sk__type,type,
    sk_: $i > $i > $i ).

thf(sk__15_type,type,
    sk__15: $i ).

thf(sk__14_type,type,
    sk__14: $i ).

thf(part_of_transitivity,conjecture,
    ! [C1: $i,C2: $i,C3: $i] :
      ( ( ( part_of @ C1 @ C2 )
        & ( part_of @ C2 @ C3 ) )
     => ( part_of @ C1 @ C3 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [C1: $i,C2: $i,C3: $i] :
        ( ( ( part_of @ C1 @ C2 )
          & ( part_of @ C2 @ C3 ) )
       => ( part_of @ C1 @ C3 ) ),
    inference('cnf.neg',[status(esa)],[part_of_transitivity]) ).

thf(zip_derived_cl43,plain,
    ~ ( part_of @ sk__13 @ sk__15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(part_of_defn,axiom,
    ! [C: $i,C1: $i] :
      ( ( part_of @ C1 @ C )
    <=> ! [P: $i] :
          ( ( incident_c @ P @ C1 )
         => ( incident_c @ P @ C ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ( part_of @ X0 @ X1 )
      | ( incident_c @ ( sk_ @ X0 @ X1 ) @ X0 ) ),
    inference(cnf,[status(esa)],[part_of_defn]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ( part_of @ X0 @ X1 )
      | ~ ( incident_c @ ( sk_ @ X0 @ X1 ) @ X1 ) ),
    inference(cnf,[status(esa)],[part_of_defn]) ).

thf(zip_derived_cl44,plain,
    part_of @ sk__14 @ sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( incident_c @ X0 @ X1 )
      | ( incident_c @ X0 @ X2 )
      | ~ ( part_of @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[part_of_defn]) ).

thf(zip_derived_cl313,plain,
    ! [X0: $i] :
      ( ( incident_c @ X0 @ sk__15 )
      | ~ ( incident_c @ X0 @ sk__14 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl0]) ).

thf(zip_derived_cl317,plain,
    ! [X0: $i] :
      ( ( part_of @ X0 @ sk__15 )
      | ~ ( incident_c @ ( sk_ @ X0 @ sk__15 ) @ sk__14 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl313]) ).

thf(zip_derived_cl45,plain,
    part_of @ sk__13 @ sk__14,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_001,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( incident_c @ X0 @ X1 )
      | ( incident_c @ X0 @ X2 )
      | ~ ( part_of @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[part_of_defn]) ).

thf(zip_derived_cl312,plain,
    ! [X0: $i] :
      ( ( incident_c @ X0 @ sk__14 )
      | ~ ( incident_c @ X0 @ sk__13 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl0]) ).

thf(zip_derived_cl344,plain,
    ! [X0: $i] :
      ( ( part_of @ X0 @ sk__15 )
      | ~ ( incident_c @ ( sk_ @ X0 @ sk__15 ) @ sk__13 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl317,zip_derived_cl312]) ).

thf(zip_derived_cl361,plain,
    ( ( part_of @ sk__13 @ sk__15 )
    | ( part_of @ sk__13 @ sk__15 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl344]) ).

thf(zip_derived_cl362,plain,
    part_of @ sk__13 @ sk__15,
    inference(simplify,[status(thm)],[zip_derived_cl361]) ).

thf(zip_derived_cl364,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl43,zip_derived_cl362]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : GEO081+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.46CnhO1IwW true
% 0.14/0.35  % Computer : n020.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
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Tue Aug 29 20:45:13 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.21/0.36  % Python version: Python 3.6.8
% 0.21/0.36  % Running in FO mode
% 0.22/0.65  % Total configuration time : 435
% 0.22/0.65  % Estimated wc time : 1092
% 0.22/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.96/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.96/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.34/0.78  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.34/0.78  % Solved by fo/fo3_bce.sh.
% 1.34/0.78  % BCE start: 46
% 1.34/0.78  % BCE eliminated: 0
% 1.34/0.78  % PE start: 46
% 1.34/0.78  logic: eq
% 1.34/0.78  % PE eliminated: 4
% 1.34/0.78  % done 35 iterations in 0.026s
% 1.34/0.78  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.34/0.78  % SZS output start Refutation
% See solution above
% 1.34/0.78  
% 1.34/0.78  
% 1.34/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.34/0.79  % Terminating...
% 1.58/0.85  % Runner terminated.
% 1.72/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------