TSTP Solution File: GEO232+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO232+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Ct9JIVZs0Y 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 23:57:54 EDT 2023

% Result   : Theorem 0.54s 0.74s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   20 (   9 unt;   5 typ;   0 def)
%            Number of atoms       :   21 (   0 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   59 (   8   ~;   4   |;   0   &;  45   @)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   17 (   0   ^;  17   !;   0   ?;  17   :)

% Comments : 
%------------------------------------------------------------------------------
thf(unequally_directed_lines_type,type,
    unequally_directed_lines: $i > $i > $o ).

thf(equally_directed_lines_type,type,
    equally_directed_lines: $i > $i > $o ).

thf(unequally_directed_opposite_lines_type,type,
    unequally_directed_opposite_lines: $i > $i > $o ).

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

thf(reverse_line_type,type,
    reverse_line: $i > $i ).

thf(ax8_basics,axiom,
    ! [L: $i,M: $i] :
      ( ( unequally_directed_lines @ L @ ( reverse_line @ M ) )
      | ( unequally_directed_lines @ L @ M ) ) ).

thf(zip_derived_cl44,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ X0 @ ( reverse_line @ X1 ) )
      | ( unequally_directed_lines @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ax8_basics]) ).

thf(a1_defns,axiom,
    ! [X: $i,Y: $i] :
      ( ( unequally_directed_opposite_lines @ X @ Y )
    <=> ( unequally_directed_lines @ X @ ( reverse_line @ Y ) ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_opposite_lines @ X0 @ X1 )
      | ~ ( unequally_directed_lines @ X0 @ ( reverse_line @ X1 ) ) ),
    inference(cnf,[status(esa)],[a1_defns]) ).

thf(con,conjecture,
    ! [L: $i] : ( unequally_directed_opposite_lines @ L @ L ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [L: $i] : ( unequally_directed_opposite_lines @ L @ L ),
    inference('cnf.neg',[status(esa)],[con]) ).

thf(zip_derived_cl67,plain,
    ~ ( unequally_directed_opposite_lines @ sk_ @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl99,plain,
    ~ ( unequally_directed_lines @ sk_ @ ( reverse_line @ sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl67]) ).

thf(zip_derived_cl135,plain,
    unequally_directed_lines @ sk_ @ sk_,
    inference('sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl99]) ).

thf(ax5_basics,axiom,
    ! [L: $i] : ( equally_directed_lines @ L @ L ) ).

thf(zip_derived_cl37,plain,
    ! [X0: $i] : ( equally_directed_lines @ X0 @ X0 ),
    inference(cnf,[status(esa)],[ax5_basics]) ).

thf(a4_defns,axiom,
    ! [X: $i,Y: $i] :
      ( ( equally_directed_lines @ X @ Y )
    <=> ~ ( unequally_directed_lines @ X @ Y ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( unequally_directed_lines @ X0 @ X1 )
      | ~ ( equally_directed_lines @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[a4_defns]) ).

thf(zip_derived_cl110,plain,
    ! [X0: $i] :
      ~ ( unequally_directed_lines @ X0 @ X0 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl37,zip_derived_cl6]) ).

thf(zip_derived_cl139,plain,
    $false,
    inference('sup-',[status(thm)],[zip_derived_cl135,zip_derived_cl110]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GEO232+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Ct9JIVZs0Y true
% 0.14/0.35  % Computer : n004.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 20:12:37 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.50/0.64  % Total configuration time : 435
% 0.50/0.64  % Estimated wc time : 1092
% 0.50/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.74  % Solved by fo/fo3_bce.sh.
% 0.54/0.74  % BCE start: 68
% 0.54/0.74  % BCE eliminated: 0
% 0.54/0.74  % PE start: 68
% 0.54/0.74  logic: neq
% 0.54/0.74  % PE eliminated: 29
% 0.54/0.74  % done 18 iterations in 0.017s
% 0.54/0.74  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.54/0.74  % SZS output start Refutation
% See solution above
% 0.54/0.74  
% 0.54/0.74  
% 0.54/0.74  % Terminating...
% 1.50/0.84  % Runner terminated.
% 1.50/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------