TSTP Solution File: SEU783^2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU783^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.WeEdevFmc4 true

% Computer : n023.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 19:17:37 EDT 2023

% Result   : Theorem 0.86s 0.74s
% Output   : Refutation 0.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   19 (   6 unt;   9 typ;   0 def)
%            Number of atoms       :   37 (   2 equ;   0 cnn)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  125 (   4   ~;   1   |;   0   &;  98   @)
%                                         (   0 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   30 (   0   ^;  30   !;   0   ?;  30   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__5_type,type,
    sk__5: $i ).

thf(in_type,type,
    in: $i > $i > $o ).

thf(binunionIL_type,type,
    binunionIL: $o ).

thf(kpair_type,type,
    kpair: $i > $i > $i ).

thf(breln1_type,type,
    breln1: $i > $i > $o ).

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

thf(sk__4_type,type,
    sk__4: $i ).

thf(binunion_type,type,
    binunion: $i > $i > $i ).

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

thf(binunionIL,axiom,
    ( binunionIL
    = ( ! [A: $i,B: $i,Xx: $i] :
          ( ( in @ Xx @ A )
         => ( in @ Xx @ ( binunion @ A @ B ) ) ) ) ) ).

thf('0',plain,
    ( binunionIL
    = ( ! [X4: $i,X6: $i,X8: $i] :
          ( ( in @ X8 @ X4 )
         => ( in @ X8 @ ( binunion @ X4 @ X6 ) ) ) ) ),
    define([status(thm)]) ).

thf(breln1unionIL,conjecture,
    ( binunionIL
   => ! [A: $i,R: $i] :
        ( ( breln1 @ A @ R )
       => ! [S: $i] :
            ( ( breln1 @ A @ S )
           => ! [Xx: $i] :
                ( ( in @ Xx @ A )
               => ! [Xy: $i] :
                    ( ( in @ Xy @ A )
                   => ( ( in @ ( kpair @ Xx @ Xy ) @ R )
                     => ( in @ ( kpair @ Xx @ Xy ) @ ( binunion @ R @ S ) ) ) ) ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( ! [X4: $i,X6: $i,X8: $i] :
        ( ( in @ X8 @ X4 )
       => ( in @ X8 @ ( binunion @ X4 @ X6 ) ) )
   => ! [X10: $i,X12: $i] :
        ( ( breln1 @ X10 @ X12 )
       => ! [X14: $i] :
            ( ( breln1 @ X10 @ X14 )
           => ! [X16: $i] :
                ( ( in @ X16 @ X10 )
               => ! [X18: $i] :
                    ( ( in @ X18 @ X10 )
                   => ( ( in @ ( kpair @ X16 @ X18 ) @ X12 )
                     => ( in @ ( kpair @ X16 @ X18 ) @ ( binunion @ X12 @ X14 ) ) ) ) ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ( ! [X4: $i,X6: $i,X8: $i] :
          ( ( in @ X8 @ X4 )
         => ( in @ X8 @ ( binunion @ X4 @ X6 ) ) )
     => ! [X10: $i,X12: $i] :
          ( ( breln1 @ X10 @ X12 )
         => ! [X14: $i] :
              ( ( breln1 @ X10 @ X14 )
             => ! [X16: $i] :
                  ( ( in @ X16 @ X10 )
                 => ! [X18: $i] :
                      ( ( in @ X18 @ X10 )
                     => ( ( in @ ( kpair @ X16 @ X18 ) @ X12 )
                       => ( in @ ( kpair @ X16 @ X18 ) @ ( binunion @ X12 @ X14 ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( in @ X0 @ ( binunion @ X1 @ X2 ) )
      | ~ ( in @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl3,plain,
    ~ ( in @ ( kpair @ sk__6 @ sk__7 ) @ ( binunion @ sk__4 @ sk__5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl7,plain,
    ~ ( in @ ( kpair @ sk__6 @ sk__7 ) @ sk__4 ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl3]) ).

thf(zip_derived_cl4,plain,
    in @ ( kpair @ sk__6 @ sk__7 ) @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl9,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl4]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SEU783^2 : TPTP v8.1.2. Released v3.7.0.
% 0.08/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.WeEdevFmc4 true
% 0.14/0.36  % Computer : n023.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Wed Aug 23 17:21:58 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % 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 HO mode
% 0.22/0.67  % Total configuration time : 828
% 0.22/0.67  % Estimated wc time : 1656
% 0.22/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.86/0.71  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.86/0.73  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.86/0.74  % Solved by lams/40_c.s.sh.
% 0.86/0.74  % done 6 iterations in 0.008s
% 0.86/0.74  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.86/0.74  % SZS output start Refutation
% See solution above
% 0.86/0.74  
% 0.86/0.74  
% 0.86/0.74  % Terminating...
% 0.86/0.77  % Runner terminated.
% 0.86/0.79  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------