TSTP Solution File: SEU787^2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU787^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.qvyNKHAMe8 true

% Computer : n018.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 19:17:40 EDT 2023

% Result   : Theorem 0.19s 0.73s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   33 (  12 unt;  11 typ;   0 def)
%            Number of atoms       :   93 (   2 equ;   0 cnn)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :  351 (  27   ~;  26   |;   0   &; 248   @)
%                                         (   0 <=>;  50  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   8 con; 0-2 aty)
%            Number of variables   :   46 (   0   ^;  46   !;   0   ?;  46   :)

% Comments : 
%------------------------------------------------------------------------------
thf(breln1unionE_type,type,
    breln1unionE: $o ).

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

thf(sk__9_type,type,
    sk__9: $i ).

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

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

thf(sk__8_type,type,
    sk__8: $i ).

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

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

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

thf(sk__10_type,type,
    sk__10: $o ).

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

thf(breln1unionE,axiom,
    ( breln1unionE
    = ( ! [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 ) @ ( binunion @ R @ S ) )
                       => ( ( in @ ( kpair @ Xx @ Xy ) @ R )
                          | ( in @ ( kpair @ Xx @ Xy ) @ S ) ) ) ) ) ) ) ) ) ).

thf('0',plain,
    ( breln1unionE
    = ( ! [X4: $i,X6: $i] :
          ( ( breln1 @ X4 @ X6 )
         => ! [X8: $i] :
              ( ( breln1 @ X4 @ X8 )
             => ! [X10: $i] :
                  ( ( in @ X10 @ X4 )
                 => ! [X12: $i] :
                      ( ( in @ X12 @ X4 )
                     => ( ( in @ ( kpair @ X10 @ X12 ) @ ( binunion @ X6 @ X8 ) )
                       => ( ( in @ ( kpair @ X10 @ X12 ) @ X6 )
                          | ( in @ ( kpair @ X10 @ X12 ) @ X8 ) ) ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(breln1unionEcases,conjecture,
    ( breln1unionE
   => ! [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 ) @ ( binunion @ R @ S ) )
                     => ! [Xphi: $o] :
                          ( ( ( in @ ( kpair @ Xx @ Xy ) @ R )
                           => Xphi )
                         => ( ( ( in @ ( kpair @ Xx @ Xy ) @ S )
                             => Xphi )
                           => Xphi ) ) ) ) ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( ! [X4: $i,X6: $i] :
        ( ( breln1 @ X4 @ X6 )
       => ! [X8: $i] :
            ( ( breln1 @ X4 @ X8 )
           => ! [X10: $i] :
                ( ( in @ X10 @ X4 )
               => ! [X12: $i] :
                    ( ( in @ X12 @ X4 )
                   => ( ( in @ ( kpair @ X10 @ X12 ) @ ( binunion @ X6 @ X8 ) )
                     => ( ( in @ ( kpair @ X10 @ X12 ) @ X6 )
                        | ( in @ ( kpair @ X10 @ X12 ) @ X8 ) ) ) ) ) ) )
   => ! [X14: $i,X16: $i] :
        ( ( breln1 @ X14 @ X16 )
       => ! [X18: $i] :
            ( ( breln1 @ X14 @ X18 )
           => ! [X20: $i] :
                ( ( in @ X20 @ X14 )
               => ! [X22: $i] :
                    ( ( in @ X22 @ X14 )
                   => ( ( in @ ( kpair @ X20 @ X22 ) @ ( binunion @ X16 @ X18 ) )
                     => ! [X24: $o] :
                          ( ( ( in @ ( kpair @ X20 @ X22 ) @ X16 )
                           => X24 )
                         => ( ( ( in @ ( kpair @ X20 @ X22 ) @ X18 )
                             => X24 )
                           => X24 ) ) ) ) ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ( ! [X4: $i,X6: $i] :
          ( ( breln1 @ X4 @ X6 )
         => ! [X8: $i] :
              ( ( breln1 @ X4 @ X8 )
             => ! [X10: $i] :
                  ( ( in @ X10 @ X4 )
                 => ! [X12: $i] :
                      ( ( in @ X12 @ X4 )
                     => ( ( in @ ( kpair @ X10 @ X12 ) @ ( binunion @ X6 @ X8 ) )
                       => ( ( in @ ( kpair @ X10 @ X12 ) @ X6 )
                          | ( in @ ( kpair @ X10 @ X12 ) @ X8 ) ) ) ) ) ) )
     => ! [X14: $i,X16: $i] :
          ( ( breln1 @ X14 @ X16 )
         => ! [X18: $i] :
              ( ( breln1 @ X14 @ X18 )
             => ! [X20: $i] :
                  ( ( in @ X20 @ X14 )
                 => ! [X22: $i] :
                      ( ( in @ X22 @ X14 )
                     => ( ( in @ ( kpair @ X20 @ X22 ) @ ( binunion @ X16 @ X18 ) )
                       => ! [X24: $o] :
                            ( ( ( in @ ( kpair @ X20 @ X22 ) @ X16 )
                             => X24 )
                           => ( ( ( in @ ( kpair @ X20 @ X22 ) @ X18 )
                               => X24 )
                             => X24 ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    breln1 @ sk__5 @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl6,plain,
    in @ ( kpair @ sk__8 @ sk__9 ) @ ( binunion @ sk__6 @ sk__7 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( breln1 @ X0 @ X1 )
      | ~ ( in @ X2 @ X0 )
      | ( in @ ( kpair @ X3 @ X2 ) @ X1 )
      | ( in @ ( kpair @ X3 @ X2 ) @ X4 )
      | ~ ( in @ ( kpair @ X3 @ X2 ) @ ( binunion @ X4 @ X1 ) )
      | ~ ( in @ X3 @ X0 )
      | ~ ( breln1 @ X0 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i] :
      ( ~ ( breln1 @ X0 @ sk__6 )
      | ~ ( in @ sk__8 @ X0 )
      | ( in @ ( kpair @ sk__8 @ sk__9 ) @ sk__6 )
      | ( in @ ( kpair @ sk__8 @ sk__9 ) @ sk__7 )
      | ~ ( in @ sk__9 @ X0 )
      | ~ ( breln1 @ X0 @ sk__7 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl0]) ).

thf(zip_derived_cl5,plain,
    ( sk__10
    | ~ ( in @ ( kpair @ sk__8 @ sk__9 ) @ sk__6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl4,plain,
    ~ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl10,plain,
    ~ ( in @ ( kpair @ sk__8 @ sk__9 ) @ sk__6 ),
    inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl4]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i] :
      ( ~ ( breln1 @ X0 @ sk__6 )
      | ~ ( in @ sk__8 @ X0 )
      | ( in @ ( kpair @ sk__8 @ sk__9 ) @ sk__7 )
      | ~ ( in @ sk__9 @ X0 )
      | ~ ( breln1 @ X0 @ sk__7 ) ),
    inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl10]) ).

thf(zip_derived_cl3,plain,
    ( sk__10
    | ~ ( in @ ( kpair @ sk__8 @ sk__9 ) @ sk__7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl4_001,plain,
    ~ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl9,plain,
    ~ ( in @ ( kpair @ sk__8 @ sk__9 ) @ sk__7 ),
    inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl4]) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i] :
      ( ~ ( breln1 @ X0 @ sk__7 )
      | ~ ( in @ sk__9 @ X0 )
      | ~ ( in @ sk__8 @ X0 )
      | ~ ( breln1 @ X0 @ sk__6 ) ),
    inference(clc,[status(thm)],[zip_derived_cl13,zip_derived_cl9]) ).

thf(zip_derived_cl16,plain,
    ( ~ ( breln1 @ sk__5 @ sk__6 )
    | ~ ( in @ sk__8 @ sk__5 )
    | ~ ( in @ sk__9 @ sk__5 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl15]) ).

thf(zip_derived_cl8,plain,
    breln1 @ sk__5 @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl7,plain,
    in @ sk__8 @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl2,plain,
    in @ sk__9 @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl18,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl8,zip_derived_cl7,zip_derived_cl2]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU787^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.qvyNKHAMe8 true
% 0.13/0.34  % Computer : n018.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Aug 23 16:18:11 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.19/0.34  % Python version: Python 3.6.8
% 0.19/0.34  % Running in HO mode
% 0.19/0.65  % Total configuration time : 828
% 0.19/0.65  % Estimated wc time : 1656
% 0.19/0.65  % Estimated cpu time (8 cpus) : 207.0
% 0.19/0.68  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.19/0.71  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.19/0.72  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.19/0.73  % Solved by lams/40_c.s.sh.
% 0.19/0.73  % done 9 iterations in 0.021s
% 0.19/0.73  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.19/0.73  % SZS output start Refutation
% See solution above
% 0.19/0.73  
% 0.19/0.73  
% 0.19/0.73  % Terminating...
% 0.19/0.85  % Runner terminated.
% 0.19/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------