TSTP Solution File: GEO085+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO085+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.FpS6FGtxws true

% Computer : n032.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 23:56:29 EDT 2023

% Result   : Theorem 0.15s 0.63s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   37 (   7 unt;   7 typ;   0 def)
%            Number of atoms       :   61 (  15 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  160 (  30   ~;  21   |;   5   &;  99   @)
%                                         (   2 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :   33 (   0   ^;  26   !;   7   ?;  33   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__10_type,type,
    sk__10: $i > $i > $i ).

thf(open_type,type,
    open: $i > $o ).

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

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

thf(sk__6_type,type,
    sk__6: $i > $i ).

thf(closed_type,type,
    closed: $i > $o ).

thf(sk__5_type,type,
    sk__5: $i > $i ).

thf(closed_defn,axiom,
    ! [C: $i] :
      ( ( closed @ C )
    <=> ~ ? [P: $i] : ( end_point @ P @ C ) ) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i] :
      ( ( closed @ X0 )
      | ( end_point @ ( sk__5 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[closed_defn]) ).

thf(c6,axiom,
    ! [C: $i,P: $i] :
      ( ( end_point @ P @ C )
     => ? [Q: $i] :
          ( ( P != Q )
          & ( end_point @ Q @ C ) ) ) ).

thf(zip_derived_cl38,plain,
    ! [X0: $i,X1: $i] :
      ( ( end_point @ ( sk__10 @ X0 @ X1 ) @ X1 )
      | ~ ( end_point @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[c6]) ).

thf(zip_derived_cl28_001,plain,
    ! [X0: $i] :
      ( ( closed @ X0 )
      | ( end_point @ ( sk__5 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[closed_defn]) ).

thf(theorem_2_7_1,conjecture,
    ! [C: $i] :
      ( ( open @ C )
     => ? [P: $i,Q: $i] :
          ( ( end_point @ Q @ C )
          & ( end_point @ P @ C )
          & ( P != Q ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [C: $i] :
        ( ( open @ C )
       => ? [P: $i,Q: $i] :
            ( ( end_point @ Q @ C )
            & ( end_point @ P @ C )
            & ( P != Q ) ) ),
    inference('cnf.neg',[status(esa)],[theorem_2_7_1]) ).

thf(zip_derived_cl44,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( end_point @ X0 @ sk__13 )
      | ( X0 = X1 )
      | ~ ( end_point @ X1 @ sk__13 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl63,plain,
    ! [X0: $i] :
      ( ( closed @ sk__13 )
      | ( ( sk__5 @ sk__13 )
        = X0 )
      | ~ ( end_point @ X0 @ sk__13 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl44]) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( end_point @ X0 @ X1 )
      | ~ ( closed @ X1 ) ),
    inference(cnf,[status(esa)],[closed_defn]) ).

thf(zip_derived_cl67,plain,
    ! [X0: $i] :
      ( ~ ( end_point @ X0 @ sk__13 )
      | ( ( sk__5 @ sk__13 )
        = X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl63,zip_derived_cl27]) ).

thf(zip_derived_cl110,plain,
    ! [X0: $i] :
      ( ~ ( end_point @ X0 @ sk__13 )
      | ( ( sk__5 @ sk__13 )
        = ( sk__10 @ X0 @ sk__13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl67]) ).

thf(zip_derived_cl37,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0
       != ( sk__10 @ X0 @ X1 ) )
      | ~ ( end_point @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[c6]) ).

thf(zip_derived_cl116,plain,
    ! [X0: $i] :
      ( ~ ( end_point @ X0 @ sk__13 )
      | ( X0
       != ( sk__5 @ sk__13 ) )
      | ~ ( end_point @ X0 @ sk__13 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl37]) ).

thf(zip_derived_cl118,plain,
    ! [X0: $i] :
      ( ( X0
       != ( sk__5 @ sk__13 ) )
      | ~ ( end_point @ X0 @ sk__13 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl116]) ).

thf(zip_derived_cl120,plain,
    ( ( closed @ sk__13 )
    | ( ( sk__5 @ sk__13 )
     != ( sk__5 @ sk__13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl118]) ).

thf(open_defn,axiom,
    ! [C: $i] :
      ( ( open @ C )
    <=> ? [P: $i] : ( end_point @ P @ C ) ) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i] :
      ( ( end_point @ ( sk__6 @ X0 ) @ X0 )
      | ~ ( open @ X0 ) ),
    inference(cnf,[status(esa)],[open_defn]) ).

thf(zip_derived_cl67_002,plain,
    ! [X0: $i] :
      ( ~ ( end_point @ X0 @ sk__13 )
      | ( ( sk__5 @ sk__13 )
        = X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl63,zip_derived_cl27]) ).

thf(zip_derived_cl69,plain,
    ( ~ ( open @ sk__13 )
    | ( ( sk__5 @ sk__13 )
      = ( sk__6 @ sk__13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl67]) ).

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

thf(zip_derived_cl70,plain,
    ( ( sk__5 @ sk__13 )
    = ( sk__6 @ sk__13 ) ),
    inference(demod,[status(thm)],[zip_derived_cl69,zip_derived_cl43]) ).

thf(zip_derived_cl29_003,plain,
    ! [X0: $i] :
      ( ( end_point @ ( sk__6 @ X0 ) @ X0 )
      | ~ ( open @ X0 ) ),
    inference(cnf,[status(esa)],[open_defn]) ).

thf(zip_derived_cl71,plain,
    ( ( end_point @ ( sk__5 @ sk__13 ) @ sk__13 )
    | ~ ( open @ sk__13 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl70,zip_derived_cl29]) ).

thf(zip_derived_cl43_004,plain,
    open @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl72,plain,
    end_point @ ( sk__5 @ sk__13 ) @ sk__13,
    inference(demod,[status(thm)],[zip_derived_cl71,zip_derived_cl43]) ).

thf(zip_derived_cl27_005,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( end_point @ X0 @ X1 )
      | ~ ( closed @ X1 ) ),
    inference(cnf,[status(esa)],[closed_defn]) ).

thf(zip_derived_cl84,plain,
    ~ ( closed @ sk__13 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl72,zip_derived_cl27]) ).

thf(zip_derived_cl124,plain,
    ( ( sk__5 @ sk__13 )
   != ( sk__5 @ sk__13 ) ),
    inference(demod,[status(thm)],[zip_derived_cl120,zip_derived_cl84]) ).

thf(zip_derived_cl125,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl124]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.09  % Problem  : GEO085+1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.10  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.FpS6FGtxws true
% 0.11/0.29  % Computer : n032.cluster.edu
% 0.11/0.29  % Model    : x86_64 x86_64
% 0.11/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29  % Memory   : 8042.1875MB
% 0.11/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.29  % CPULimit : 300
% 0.11/0.29  % WCLimit  : 300
% 0.11/0.29  % DateTime : Tue Aug 29 22:31:47 EDT 2023
% 0.14/0.29  % CPUTime  : 
% 0.14/0.29  % Running portfolio for 300 s
% 0.14/0.29  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.29  % Number of cores: 8
% 0.14/0.29  % Python version: Python 3.6.8
% 0.14/0.30  % Running in FO mode
% 0.15/0.53  % Total configuration time : 435
% 0.15/0.53  % Estimated wc time : 1092
% 0.15/0.53  % Estimated cpu time (7 cpus) : 156.0
% 0.15/0.58  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.15/0.58  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.15/0.58  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.15/0.59  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.15/0.60  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.15/0.61  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.15/0.61  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.15/0.63  % Solved by fo/fo1_av.sh.
% 0.15/0.63  % done 56 iterations in 0.026s
% 0.15/0.63  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.15/0.63  % SZS output start Refutation
% See solution above
% 0.15/0.63  
% 0.15/0.63  
% 0.15/0.63  % Terminating...
% 1.00/0.74  % Runner terminated.
% 1.41/0.75  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------