TSTP Solution File: SEU742^2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU742^2 : 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.KQwt1XrXzW true

% Computer : n014.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 19:16:56 EDT 2023

% Result   : Theorem 1.32s 0.79s
% Output   : Refutation 1.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   46 (  20 unt;  12 typ;   0 def)
%            Number of atoms       :  148 (   6 equ;   0 cnn)
%            Maximal formula atoms :   21 (   4 avg)
%            Number of connectives :  565 (  36   ~;  30   |;   0   &; 427   @)
%                                         (   0 <=>;  72  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   9 con; 0-2 aty)
%            Number of variables   :   88 (   0   ^;  88   !;   0   ?;  88   :)

% Comments : 
%------------------------------------------------------------------------------
thf(binintersectI_type,type,
    binintersectI: $o ).

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

thf(inIntersectImpInUnion_type,type,
    inIntersectImpInUnion: $o ).

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

thf(sk__17_type,type,
    sk__17: $i ).

thf(sk__16_type,type,
    sk__16: $i ).

thf(binintersect_type,type,
    binintersect: $i > $i > $i ).

thf(powerset_type,type,
    powerset: $i > $i ).

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

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

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

thf(inIntersectImpInUnion2_type,type,
    inIntersectImpInUnion2: $o ).

thf(inIntersectImpInUnion2,axiom,
    ( inIntersectImpInUnion2
    = ( ! [A: $i,X: $i] :
          ( ( in @ X @ ( powerset @ A ) )
         => ! [Y: $i] :
              ( ( in @ Y @ ( powerset @ A ) )
             => ! [Z: $i] :
                  ( ( in @ Z @ ( powerset @ A ) )
                 => ! [Xx: $i] :
                      ( ( in @ Xx @ A )
                     => ( ( in @ Xx @ ( binintersect @ X @ Y ) )
                       => ( in @ Xx @ ( binunion @ Y @ Z ) ) ) ) ) ) ) ) ) ).

thf('0',plain,
    ( inIntersectImpInUnion2
    = ( ! [X4: $i,X6: $i] :
          ( ( in @ X6 @ ( powerset @ X4 ) )
         => ! [X8: $i] :
              ( ( in @ X8 @ ( powerset @ X4 ) )
             => ! [X10: $i] :
                  ( ( in @ X10 @ ( powerset @ X4 ) )
                 => ! [X12: $i] :
                      ( ( in @ X12 @ X4 )
                     => ( ( in @ X12 @ ( binintersect @ X6 @ X8 ) )
                       => ( in @ X12 @ ( binunion @ X8 @ X10 ) ) ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(inIntersectImpInUnion,axiom,
    ( inIntersectImpInUnion
    = ( ! [A: $i,X: $i] :
          ( ( in @ X @ ( powerset @ A ) )
         => ! [Y: $i] :
              ( ( in @ Y @ ( powerset @ A ) )
             => ! [Z: $i] :
                  ( ( in @ Z @ ( powerset @ A ) )
                 => ! [Xx: $i] :
                      ( ( in @ Xx @ A )
                     => ( ( in @ Xx @ ( binintersect @ X @ Y ) )
                       => ( in @ Xx @ ( binunion @ X @ Z ) ) ) ) ) ) ) ) ) ).

thf('1',plain,
    ( inIntersectImpInUnion
    = ( ! [X4: $i,X6: $i] :
          ( ( in @ X6 @ ( powerset @ X4 ) )
         => ! [X8: $i] :
              ( ( in @ X8 @ ( powerset @ X4 ) )
             => ! [X10: $i] :
                  ( ( in @ X10 @ ( powerset @ X4 ) )
                 => ! [X12: $i] :
                      ( ( in @ X12 @ X4 )
                     => ( ( in @ X12 @ ( binintersect @ X6 @ X8 ) )
                       => ( in @ X12 @ ( binunion @ X6 @ X10 ) ) ) ) ) ) ) ) ),
    define([status(thm)]) ).

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

thf('2',plain,
    ( binintersectI
    = ( ! [X4: $i,X6: $i,X8: $i] :
          ( ( in @ X8 @ X4 )
         => ( ( in @ X8 @ X6 )
           => ( in @ X8 @ ( binintersect @ X4 @ X6 ) ) ) ) ) ),
    define([status(thm)]) ).

thf(inIntersectImpInIntersectUnions,conjecture,
    ( binintersectI
   => ( inIntersectImpInUnion
     => ( inIntersectImpInUnion2
       => ! [A: $i,X: $i] :
            ( ( in @ X @ ( powerset @ A ) )
           => ! [Y: $i] :
                ( ( in @ Y @ ( powerset @ A ) )
               => ! [Z: $i] :
                    ( ( in @ Z @ ( powerset @ A ) )
                   => ! [Xx: $i] :
                        ( ( in @ Xx @ A )
                       => ( ( in @ Xx @ ( binintersect @ X @ Y ) )
                         => ( in @ Xx @ ( binintersect @ ( binunion @ X @ Z ) @ ( binunion @ Y @ Z ) ) ) ) ) ) ) ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( ! [X4: $i,X6: $i,X8: $i] :
        ( ( in @ X8 @ X4 )
       => ( ( in @ X8 @ X6 )
         => ( in @ X8 @ ( binintersect @ X4 @ X6 ) ) ) )
   => ( ! [X10: $i,X12: $i] :
          ( ( in @ X12 @ ( powerset @ X10 ) )
         => ! [X14: $i] :
              ( ( in @ X14 @ ( powerset @ X10 ) )
             => ! [X16: $i] :
                  ( ( in @ X16 @ ( powerset @ X10 ) )
                 => ! [X18: $i] :
                      ( ( in @ X18 @ X10 )
                     => ( ( in @ X18 @ ( binintersect @ X12 @ X14 ) )
                       => ( in @ X18 @ ( binunion @ X12 @ X16 ) ) ) ) ) ) )
     => ( ! [X20: $i,X22: $i] :
            ( ( in @ X22 @ ( powerset @ X20 ) )
           => ! [X24: $i] :
                ( ( in @ X24 @ ( powerset @ X20 ) )
               => ! [X26: $i] :
                    ( ( in @ X26 @ ( powerset @ X20 ) )
                   => ! [X28: $i] :
                        ( ( in @ X28 @ X20 )
                       => ( ( in @ X28 @ ( binintersect @ X22 @ X24 ) )
                         => ( in @ X28 @ ( binunion @ X24 @ X26 ) ) ) ) ) ) )
       => ! [X30: $i,X32: $i] :
            ( ( in @ X32 @ ( powerset @ X30 ) )
           => ! [X34: $i] :
                ( ( in @ X34 @ ( powerset @ X30 ) )
               => ! [X36: $i] :
                    ( ( in @ X36 @ ( powerset @ X30 ) )
                   => ! [X38: $i] :
                        ( ( in @ X38 @ X30 )
                       => ( ( in @ X38 @ ( binintersect @ X32 @ X34 ) )
                         => ( in @ X38 @ ( binintersect @ ( binunion @ X32 @ X36 ) @ ( binunion @ X34 @ X36 ) ) ) ) ) ) ) ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ( ! [X4: $i,X6: $i,X8: $i] :
          ( ( in @ X8 @ X4 )
         => ( ( in @ X8 @ X6 )
           => ( in @ X8 @ ( binintersect @ X4 @ X6 ) ) ) )
     => ( ! [X10: $i,X12: $i] :
            ( ( in @ X12 @ ( powerset @ X10 ) )
           => ! [X14: $i] :
                ( ( in @ X14 @ ( powerset @ X10 ) )
               => ! [X16: $i] :
                    ( ( in @ X16 @ ( powerset @ X10 ) )
                   => ! [X18: $i] :
                        ( ( in @ X18 @ X10 )
                       => ( ( in @ X18 @ ( binintersect @ X12 @ X14 ) )
                         => ( in @ X18 @ ( binunion @ X12 @ X16 ) ) ) ) ) ) )
       => ( ! [X20: $i,X22: $i] :
              ( ( in @ X22 @ ( powerset @ X20 ) )
             => ! [X24: $i] :
                  ( ( in @ X24 @ ( powerset @ X20 ) )
                 => ! [X26: $i] :
                      ( ( in @ X26 @ ( powerset @ X20 ) )
                     => ! [X28: $i] :
                          ( ( in @ X28 @ X20 )
                         => ( ( in @ X28 @ ( binintersect @ X22 @ X24 ) )
                           => ( in @ X28 @ ( binunion @ X24 @ X26 ) ) ) ) ) ) )
         => ! [X30: $i,X32: $i] :
              ( ( in @ X32 @ ( powerset @ X30 ) )
             => ! [X34: $i] :
                  ( ( in @ X34 @ ( powerset @ X30 ) )
                 => ! [X36: $i] :
                      ( ( in @ X36 @ ( powerset @ X30 ) )
                     => ! [X38: $i] :
                          ( ( in @ X38 @ X30 )
                         => ( ( in @ X38 @ ( binintersect @ X32 @ X34 ) )
                           => ( in @ X38 @ ( binintersect @ ( binunion @ X32 @ X36 ) @ ( binunion @ X34 @ X36 ) ) ) ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7,plain,
    in @ sk__14 @ ( powerset @ sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl5,plain,
    in @ sk__17 @ ( binintersect @ sk__14 @ sk__15 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1,plain,
    ! [X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( ~ ( in @ X3 @ ( powerset @ X4 ) )
      | ~ ( in @ X5 @ X4 )
      | ( in @ X5 @ ( binunion @ X3 @ X6 ) )
      | ~ ( in @ X5 @ ( binintersect @ X7 @ X3 ) )
      | ~ ( in @ X6 @ ( powerset @ X4 ) )
      | ~ ( in @ X7 @ ( powerset @ X4 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ sk__14 @ ( powerset @ X0 ) )
      | ~ ( in @ X1 @ ( powerset @ X0 ) )
      | ( in @ sk__17 @ ( binunion @ sk__15 @ X1 ) )
      | ~ ( in @ sk__17 @ X0 )
      | ~ ( in @ sk__15 @ ( powerset @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl1]) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i] :
      ( ~ ( in @ sk__15 @ ( powerset @ sk__13 ) )
      | ~ ( in @ sk__17 @ sk__13 )
      | ( in @ sk__17 @ ( binunion @ sk__15 @ X0 ) )
      | ~ ( in @ X0 @ ( powerset @ sk__13 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl11]) ).

thf(zip_derived_cl2,plain,
    in @ sk__15 @ ( powerset @ sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl3,plain,
    in @ sk__17 @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i] :
      ( ( in @ sk__17 @ ( binunion @ sk__15 @ X0 ) )
      | ~ ( in @ X0 @ ( powerset @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl2,zip_derived_cl3]) ).

thf(zip_derived_cl7_001,plain,
    in @ sk__14 @ ( powerset @ sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl5_002,plain,
    in @ sk__17 @ ( binintersect @ sk__14 @ sk__15 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl8,plain,
    ! [X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ~ ( in @ X8 @ ( powerset @ X9 ) )
      | ~ ( in @ X10 @ X9 )
      | ( in @ X10 @ ( binunion @ X11 @ X12 ) )
      | ~ ( in @ X10 @ ( binintersect @ X11 @ X8 ) )
      | ~ ( in @ X12 @ ( powerset @ X9 ) )
      | ~ ( in @ X11 @ ( powerset @ X9 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ sk__14 @ ( powerset @ X0 ) )
      | ~ ( in @ X1 @ ( powerset @ X0 ) )
      | ( in @ sk__17 @ ( binunion @ sk__14 @ X1 ) )
      | ~ ( in @ sk__17 @ X0 )
      | ~ ( in @ sk__15 @ ( powerset @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl8]) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i] :
      ( ~ ( in @ sk__15 @ ( powerset @ sk__13 ) )
      | ~ ( in @ sk__17 @ sk__13 )
      | ( in @ sk__17 @ ( binunion @ sk__14 @ X0 ) )
      | ~ ( in @ X0 @ ( powerset @ sk__13 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl21]) ).

thf(zip_derived_cl2_003,plain,
    in @ sk__15 @ ( powerset @ sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl3_004,plain,
    in @ sk__17 @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i] :
      ( ( in @ sk__17 @ ( binunion @ sk__14 @ X0 ) )
      | ~ ( in @ X0 @ ( powerset @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl27,zip_derived_cl2,zip_derived_cl3]) ).

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

thf(zip_derived_cl4,plain,
    ~ ( in @ sk__17 @ ( binintersect @ ( binunion @ sk__14 @ sk__16 ) @ ( binunion @ sk__15 @ sk__16 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl9,plain,
    ( ~ ( in @ sk__17 @ ( binunion @ sk__14 @ sk__16 ) )
    | ~ ( in @ sk__17 @ ( binunion @ sk__15 @ sk__16 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl4]) ).

thf(zip_derived_cl31,plain,
    ( ~ ( in @ sk__16 @ ( powerset @ sk__13 ) )
    | ~ ( in @ sk__17 @ ( binunion @ sk__15 @ sk__16 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl9]) ).

thf(zip_derived_cl6,plain,
    in @ sk__16 @ ( powerset @ sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl33,plain,
    ~ ( in @ sk__17 @ ( binunion @ sk__15 @ sk__16 ) ),
    inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl6]) ).

thf(zip_derived_cl35,plain,
    ~ ( in @ sk__16 @ ( powerset @ sk__13 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl33]) ).

thf(zip_derived_cl6_005,plain,
    in @ sk__16 @ ( powerset @ sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl37,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl35,zip_derived_cl6]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU742^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KQwt1XrXzW true
% 0.14/0.34  % Computer : n014.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Wed Aug 23 23:42:04 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in HO mode
% 0.21/0.65  % Total configuration time : 828
% 0.21/0.65  % Estimated wc time : 1656
% 0.21/0.65  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.32/0.79  % Solved by lams/40_c.s.sh.
% 1.32/0.79  % done 17 iterations in 0.025s
% 1.32/0.79  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.32/0.79  % SZS output start Refutation
% See solution above
% 1.32/0.79  
% 1.32/0.79  
% 1.32/0.79  % Terminating...
% 1.32/0.85  % Runner terminated.
% 1.71/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------