↑ Up

Zipperpin---2.1.9999.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU700^2 : TPTP v9.2.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vZk5PR3t4P true

% Computer : n019.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 Oct  2 04:55:50 PM UTC 2025

% Result   : Theorem 0.59s 0.82s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   29 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :  175 (  34 equ;  22 cnn)
%            Maximal formula atoms :   16 (   6 avg)
%            Number of connectives :  431 (  48   ~;  20   |;  32   &; 242   @)
%                                         (   0 <=>;  58  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (  10 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   13 (  13   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   7 usr;   8 con; 0-2 aty)
%                                         (  31  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   87 (  50   ^;  37   !;   0   ?;  87   :)

% Comments : 
%------------------------------------------------------------------------------
thf('#sk2_type',type,
    '#sk2': $o ).

thf('#sk8_type',type,
    '#sk8': $i ).

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

thf(dsetconstrI_type,type,
    dsetconstrI: $o ).

thf('#sk1_type',type,
    '#sk1': $i ).

thf('#sk5_type',type,
    '#sk5': $i ).

thf(dsetconstr_type,type,
    dsetconstr: $i > ( $i > $o ) > $i ).

thf(dsetconstrI,axiom,
    ( dsetconstrI
    = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
          ( ( in @ Xx @ A )
         => ( ( Xphi @ Xx )
           => ( in @ Xx
              @ ( dsetconstr @ A
                @ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ) ).

thf('0',plain,
    ( dsetconstrI
    = ( ! [X4: $i,X6: $i > $o,X8: $i] :
          ( ( in @ X8 @ X4 )
         => ( ( X6 @ X8 )
           => ( in @ X8
              @ ( dsetconstr @ X4
                @ ^ [V_1: $i] : ( X6 @ V_1 ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(iffalseProp1,conjecture,
    ( dsetconstrI
   => ! [A: $i,Xphi: $o,Xx: $i] :
        ( ( in @ Xx @ A )
       => ! [Xy: $i] :
            ( ( in @ Xy @ A )
           => ( ~ Xphi
             => ( in @ Xy
                @ ( dsetconstr @ A
                  @ ^ [Xz: $i] :
                      ( ( Xphi
                        & ( Xz = Xx ) )
                      | ( ~ Xphi
                        & ( Xz = Xy ) ) ) ) ) ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( ! [X4: $i,X6: $i > $o,X8: $i] :
        ( ( in @ X8 @ X4 )
       => ( ( X6 @ X8 )
         => ( in @ X8
            @ ( dsetconstr @ X4
              @ ^ [V_1: $i] : ( X6 @ V_1 ) ) ) ) )
   => ! [X10: $i,X12: $o,X14: $i] :
        ( ( in @ X14 @ X10 )
       => ! [X16: $i] :
            ( ( in @ X16 @ X10 )
           => ( ~ X12
             => ( in @ X16
                @ ( dsetconstr @ X10
                  @ ^ [V_2: $i] :
                      ( ( ( V_2 = X16 )
                        & ~ X12 )
                      | ( ( V_2 = X14 )
                        & X12 ) ) ) ) ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ( ! [X4: $i,X6: $i > $o,X8: $i] :
          ( ( in @ X8 @ X4 )
         => ( ( X6 @ X8 )
           => ( in @ X8
              @ ( dsetconstr @ X4
                @ ^ [V_1: $i] : ( X6 @ V_1 ) ) ) ) )
     => ! [X10: $i,X12: $o,X14: $i] :
          ( ( in @ X14 @ X10 )
         => ! [X16: $i] :
              ( ( in @ X16 @ X10 )
             => ( ~ X12
               => ( in @ X16
                  @ ( dsetconstr @ X10
                    @ ^ [V_2: $i] :
                        ( ( ( V_2 = X16 )
                          & ~ X12 )
                        | ( ( V_2 = X14 )
                          & X12 ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ~ ( ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i > $o] :
                ( !!
                @ ^ [Y2: $i] :
                    ( ( in @ Y2 @ Y0 )
                   => ( ( Y1 @ Y2 )
                     => ( in @ Y2
                        @ ( dsetconstr @ Y0
                          @ ^ [Y3: $i] : ( Y1 @ Y3 ) ) ) ) ) ) ) )
     => ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $o] :
                ( !!
                @ ^ [Y2: $i] :
                    ( ( in @ Y2 @ Y0 )
                   => ( !!
                      @ ^ [Y3: $i] :
                          ( ( in @ Y3 @ Y0 )
                         => ( ( (~) @ Y1 )
                           => ( in @ Y3
                              @ ( dsetconstr @ Y0
                                @ ^ [Y4: $i] :
                                    ( ( ( Y4 = Y3 )
                                      & ( (~) @ Y1 ) )
                                    | ( ( Y4 = Y2 )
                                      & Y1 ) ) ) ) ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1,plain,
    ~ ( ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i > $o] :
                ( !!
                @ ^ [Y2: $i] :
                    ( ( in @ Y2 @ Y0 )
                   => ( ( Y1 @ Y2 )
                     => ( in @ Y2 @ ( dsetconstr @ Y0 @ Y1 ) ) ) ) ) ) )
     => ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $o] :
                ( !!
                @ ^ [Y2: $i] :
                    ( ( in @ Y2 @ Y0 )
                   => ( !!
                      @ ^ [Y3: $i] :
                          ( ( in @ Y3 @ Y0 )
                         => ( ( (~) @ Y1 )
                           => ( in @ Y3
                              @ ( dsetconstr @ Y0
                                @ ^ [Y4: $i] :
                                    ( ( ( Y4 = Y3 )
                                      & ( (~) @ Y1 ) )
                                    | ( ( Y4 = Y2 )
                                      & Y1 ) ) ) ) ) ) ) ) ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl3,plain,
    ~ ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $o] :
              ( !!
              @ ^ [Y2: $i] :
                  ( ( in @ Y2 @ Y0 )
                 => ( !!
                    @ ^ [Y3: $i] :
                        ( ( in @ Y3 @ Y0 )
                       => ( ( (~) @ Y1 )
                         => ( in @ Y3
                            @ ( dsetconstr @ Y0
                              @ ^ [Y4: $i] :
                                  ( ( ( Y4 = Y3 )
                                    & ( (~) @ Y1 ) )
                                  | ( ( Y4 = Y2 )
                                    & Y1 ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl5,plain,
    ~ ( !!
      @ ^ [Y0: $o] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( in @ Y1 @ '#sk1' )
             => ( !!
                @ ^ [Y2: $i] :
                    ( ( in @ Y2 @ '#sk1' )
                   => ( ( (~) @ Y0 )
                     => ( in @ Y2
                        @ ( dsetconstr @ '#sk1'
                          @ ^ [Y3: $i] :
                              ( ( ( Y3 = Y2 )
                                & ( (~) @ Y0 ) )
                              | ( ( Y3 = Y1 )
                                & Y0 ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl7,plain,
    ~ ( !!
      @ ^ [Y0: $i] :
          ( ( in @ Y0 @ '#sk1' )
         => ( !!
            @ ^ [Y1: $i] :
                ( ( in @ Y1 @ '#sk1' )
               => ( ( (~) @ '#sk2' )
                 => ( in @ Y1
                    @ ( dsetconstr @ '#sk1'
                      @ ^ [Y2: $i] :
                          ( ( ( Y2 = Y1 )
                            & ( (~) @ '#sk2' ) )
                          | ( ( Y2 = Y0 )
                            & '#sk2' ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl9,plain,
    ~ ( ( in @ '#sk5' @ '#sk1' )
     => ( !!
        @ ^ [Y0: $i] :
            ( ( in @ Y0 @ '#sk1' )
           => ( ( (~) @ '#sk2' )
             => ( in @ Y0
                @ ( dsetconstr @ '#sk1'
                  @ ^ [Y1: $i] :
                      ( ( ( Y1 = Y0 )
                        & ( (~) @ '#sk2' ) )
                      | ( ( Y1 = '#sk5' )
                        & '#sk2' ) ) ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl12,plain,
    ~ ( !!
      @ ^ [Y0: $i] :
          ( ( in @ Y0 @ '#sk1' )
         => ( ( (~) @ '#sk2' )
           => ( in @ Y0
              @ ( dsetconstr @ '#sk1'
                @ ^ [Y1: $i] :
                    ( ( ( Y1 = Y0 )
                      & ( (~) @ '#sk2' ) )
                    | ( ( Y1 = '#sk5' )
                      & '#sk2' ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl14,plain,
    ~ ( ( in @ '#sk8' @ '#sk1' )
     => ( ( (~) @ '#sk2' )
       => ( in @ '#sk8'
          @ ( dsetconstr @ '#sk1'
            @ ^ [Y0: $i] :
                ( ( ( Y0 = '#sk8' )
                  & ( (~) @ '#sk2' ) )
                | ( ( Y0 = '#sk5' )
                  & '#sk2' ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl15,plain,
    in @ '#sk8' @ '#sk1',
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl2,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i > $o] :
            ( !!
            @ ^ [Y2: $i] :
                ( ( in @ Y2 @ Y0 )
               => ( ( Y1 @ Y2 )
                 => ( in @ Y2 @ ( dsetconstr @ Y0 @ Y1 ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl4,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i > $o] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( in @ Y1 @ X2 )
             => ( ( Y0 @ Y1 )
               => ( in @ Y1 @ ( dsetconstr @ X2 @ Y0 ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl6,plain,
    ! [X2: $i,X4: $i > $o] :
      ( !!
      @ ^ [Y0: $i] :
          ( ( in @ Y0 @ X2 )
         => ( ( X4 @ Y0 )
           => ( in @ Y0 @ ( dsetconstr @ X2 @ X4 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl8,plain,
    ! [X2: $i,X4: $i > $o,X6: $i] :
      ( ( in @ X6 @ X2 )
     => ( ( X4 @ X6 )
       => ( in @ X6 @ ( dsetconstr @ X2 @ X4 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl10,plain,
    ! [X2: $i,X4: $i > $o,X6: $i] :
      ( ~ ( in @ X6 @ X2 )
      | ( ( X4 @ X6 )
       => ( in @ X6 @ ( dsetconstr @ X2 @ X4 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl13,plain,
    ! [X2: $i,X4: $i > $o,X6: $i] :
      ( ~ ( X4 @ X6 )
      | ( in @ X6 @ ( dsetconstr @ X2 @ X4 ) )
      | ~ ( in @ X6 @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i > $o] :
      ( ( in @ '#sk8' @ ( dsetconstr @ '#sk1' @ X0 ) )
      | ~ ( X0 @ '#sk8' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl13]) ).

thf(zip_derived_cl16,plain,
    ~ ( ( (~) @ '#sk2' )
     => ( in @ '#sk8'
        @ ( dsetconstr @ '#sk1'
          @ ^ [Y0: $i] :
              ( ( ( Y0 = '#sk8' )
                & ( (~) @ '#sk2' ) )
              | ( ( Y0 = '#sk5' )
                & '#sk2' ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl18,plain,
    ~ ( in @ '#sk8'
      @ ( dsetconstr @ '#sk1'
        @ ^ [Y0: $i] :
            ( ( ( Y0 = '#sk8' )
              & ( (~) @ '#sk2' ) )
            | ( ( Y0 = '#sk5' )
              & '#sk2' ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).

thf(zip_derived_cl64,plain,
    ~ ( ^ [Y0: $i] :
          ( ( ( Y0 = '#sk8' )
            & ( (~) @ '#sk2' ) )
          | ( ( Y0 = '#sk5' )
            & '#sk2' ) )
      @ '#sk8' ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl18]) ).

thf(zip_derived_cl65,plain,
    ~ ( ( ( '#sk8' = '#sk8' )
        & ( (~) @ '#sk2' ) )
      | ( ( '#sk8' = '#sk5' )
        & '#sk2' ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl64]) ).

thf(zip_derived_cl17,plain,
    ~ '#sk2',
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).

thf(zip_derived_cl17_001,plain,
    ~ '#sk2',
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).

thf(zip_derived_cl66,plain,
    ~ ( ( ( '#sk8' = '#sk8' )
        & ( (~) @ $false ) )
      | ( ( '#sk8' = '#sk5' )
        & $false ) ),
    inference(demod,[status(thm)],[zip_derived_cl65,zip_derived_cl17,zip_derived_cl17]) ).

thf(zip_derived_cl67,plain,
    $false,
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl66]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SEU700^2 : TPTP v9.2.0. Released v3.7.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vZk5PR3t4P true
% 0.14/0.35  % Computer : n019.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 : Wed Oct  1 16:01:38 EDT 2025
% 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
% 0.57/0.66  % Total configuration time : 828
% 0.57/0.66  % Estimated wc time : 1656
% 0.57/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.58/0.71  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.58/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.58/0.75  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.58/0.75  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.59/0.76  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.59/0.76  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.59/0.78  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.59/0.78  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.59/0.82  % Solved by lams/35_full_unif4.sh.
% 0.59/0.82  % done 7 iterations in 0.042s
% 0.59/0.82  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.59/0.82  % SZS output start Refutation
% See solution above
% 0.59/0.82  
% 0.59/0.82  
% 0.59/0.82  % Terminating...
% 1.71/0.87  % Runner terminated.
% 1.71/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------