TSTP Solution File: GEO087+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO087+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ydsT9sNoY0 true

% Computer : n004.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 23:56:30 EDT 2023

% Result   : Theorem 0.53s 0.78s
% Output   : Refutation 0.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   29 (   6 unt;   9 typ;   0 def)
%            Number of atoms       :   46 (   0 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  143 (  21   ~;  14   |;   5   &;  96   @)
%                                         (   3 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   9 usr;   4 con; 0-3 aty)
%            Number of variables   :   35 (   0   ^;  32   !;   3   ?;  35   :)

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

thf(meet_type,type,
    meet: $i > $i > $i > $o ).

thf(end_point_type,type,
    end_point: $i > $i > $o ).

thf(sk__7_type,type,
    sk__7: $i > $i ).

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

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

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

thf(inner_point_type,type,
    inner_point: $i > $i > $o ).

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

thf(c3,axiom,
    ! [C: $i] :
    ? [P: $i] : ( inner_point @ P @ C ) ).

thf(zip_derived_cl33,plain,
    ! [X0: $i] : ( inner_point @ ( sk__7 @ X0 ) @ X0 ),
    inference(cnf,[status(esa)],[c3]) ).

thf(corollary_2_9,conjecture,
    ! [C1: $i,C2: $i] :
      ( ( part_of @ C1 @ C2 )
     => ~ ? [P: $i] : ( meet @ P @ C1 @ C2 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [C1: $i,C2: $i] :
        ( ( part_of @ C1 @ C2 )
       => ~ ? [P: $i] : ( meet @ P @ C1 @ C2 ) ),
    inference('cnf.neg',[status(esa)],[corollary_2_9]) ).

thf(zip_derived_cl43,plain,
    part_of @ sk__13 @ sk__14,
    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_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_cl46,plain,
    ! [X0: $i] :
      ( ( incident_c @ X0 @ sk__14 )
      | ~ ( incident_c @ X0 @ sk__13 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl0]) ).

thf(zip_derived_cl44,plain,
    meet @ sk__15 @ sk__13 @ sk__14,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(meet_defn,axiom,
    ! [P: $i,C: $i,C1: $i] :
      ( ( meet @ P @ C @ C1 )
    <=> ( ( incident_c @ P @ C )
        & ( incident_c @ P @ C1 )
        & ! [Q: $i] :
            ( ( ( incident_c @ Q @ C )
              & ( incident_c @ Q @ C1 ) )
           => ( ( end_point @ Q @ C )
              & ( end_point @ Q @ C1 ) ) ) ) ) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( incident_c @ X0 @ X1 )
      | ~ ( incident_c @ X0 @ X2 )
      | ( end_point @ X0 @ X1 )
      | ~ ( meet @ X3 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[meet_defn]) ).

thf(zip_derived_cl80,plain,
    ! [X0: $i] :
      ( ( end_point @ X0 @ sk__13 )
      | ~ ( incident_c @ X0 @ sk__14 )
      | ~ ( incident_c @ X0 @ sk__13 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl23]) ).

thf(zip_derived_cl88,plain,
    ! [X0: $i] :
      ( ~ ( incident_c @ X0 @ sk__13 )
      | ~ ( incident_c @ X0 @ sk__13 )
      | ( end_point @ X0 @ sk__13 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl80]) ).

thf(zip_derived_cl93,plain,
    ! [X0: $i] :
      ( ( end_point @ X0 @ sk__13 )
      | ~ ( incident_c @ X0 @ sk__13 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl88]) ).

thf(inner_point_defn,axiom,
    ! [P: $i,C: $i] :
      ( ( inner_point @ P @ C )
    <=> ( ( incident_c @ P @ C )
        & ~ ( end_point @ P @ C ) ) ) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( end_point @ X0 @ X1 )
      | ~ ( inner_point @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[inner_point_defn]) ).

thf(zip_derived_cl114,plain,
    ! [X0: $i] :
      ( ~ ( incident_c @ X0 @ sk__13 )
      | ~ ( inner_point @ X0 @ sk__13 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl18]) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i] :
      ( ( incident_c @ X0 @ X1 )
      | ~ ( inner_point @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[inner_point_defn]) ).

thf(zip_derived_cl139,plain,
    ! [X0: $i] :
      ~ ( inner_point @ X0 @ sk__13 ),
    inference(clc,[status(thm)],[zip_derived_cl114,zip_derived_cl17]) ).

thf(zip_derived_cl140,plain,
    $false,
    inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl139]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : GEO087+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.12  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ydsT9sNoY0 true
% 0.12/0.33  % Computer : n004.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Tue Aug 29 19:09:52 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  % Running portfolio for 300 s
% 0.12/0.33  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33  % Number of cores: 8
% 0.12/0.33  % Python version: Python 3.6.8
% 0.12/0.34  % Running in FO mode
% 0.46/0.61  % Total configuration time : 435
% 0.46/0.61  % Estimated wc time : 1092
% 0.46/0.61  % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.53/0.78  % Solved by fo/fo7.sh.
% 0.53/0.78  % done 65 iterations in 0.039s
% 0.53/0.78  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.53/0.78  % SZS output start Refutation
% See solution above
% 0.53/0.78  
% 0.53/0.78  
% 0.53/0.78  % Terminating...
% 0.55/0.85  % Runner terminated.
% 0.55/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------