↑ Up

Zipperpin---2.1.9999.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU704^2 : TPTP v9.2.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.f69spIox9I true

% Computer : n007.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 04:55:51 PM UTC 2025

% Result   : Theorem 7.25s 1.83s
% Output   : Refutation 7.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   50 (  26 unt;   0 typ;   0 def)
%            Number of atoms       :  274 ( 126 equ;  19 cnn)
%            Maximal formula atoms :   22 (   5 avg)
%            Number of connectives :  655 (  80   ~;  74   |;  85   &; 350   @)
%                                         (   0 <=>;  66  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  13 usr;  12 con; 0-2 aty)
%            Number of variables   :  167 (  49   ^; 113   !;   5   ?; 167   :)

% Comments : 
%------------------------------------------------------------------------------
thf(iffalseProp2_type,type,
    iffalseProp2: $o ).

thf(singleton_type,type,
    singleton: $i > $o ).

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

thf(sk__20_type,type,
    sk__20: $i ).

thf(setadjoin_type,type,
    setadjoin: $i > $i > $i ).

thf(iftrueProp1_type,type,
    iftrueProp1: $o ).

thf(iffalseProp1_type,type,
    iffalseProp1: $o ).

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

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

thf(sk__18_type,type,
    sk__18: $o ).

thf(emptyset_type,type,
    emptyset: $i ).

thf(sk__19_type,type,
    sk__19: $i ).

thf(iftrueProp2_type,type,
    iftrueProp2: $o ).

thf(iftrueProp2,axiom,
    ( iftrueProp2
    = ( ! [A: $i,Xphi: $o,Xx: $i] :
          ( ( in @ Xx @ A )
         => ! [Xy: $i] :
              ( ( in @ Xy @ A )
             => ( Xphi
               => ( ( dsetconstr @ A
                    @ ^ [Xz: $i] :
                        ( ( Xphi
                          & ( Xz = Xx ) )
                        | ( ~ Xphi
                          & ( Xz = Xy ) ) ) )
                  = ( setadjoin @ Xx @ emptyset ) ) ) ) ) ) ) ).

thf('0',plain,
    ( iftrueProp2
    = ( ! [X4: $i,X6: $o,X8: $i] :
          ( ( in @ X8 @ X4 )
         => ! [X10: $i] :
              ( ( in @ X10 @ X4 )
             => ( X6
               => ( ( dsetconstr @ X4
                    @ ^ [V_1: $i] :
                        ( ( X6
                          & ( V_1 = X8 ) )
                        | ( ~ X6
                          & ( V_1 = X10 ) ) ) )
                  = ( setadjoin @ X8 @ emptyset ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(iftrueProp1,axiom,
    ( iftrueProp1
    = ( ! [A: $i,Xphi: $o,Xx: $i] :
          ( ( in @ Xx @ A )
         => ! [Xy: $i] :
              ( ( in @ Xy @ A )
             => ( Xphi
               => ( in @ Xx
                  @ ( dsetconstr @ A
                    @ ^ [Xz: $i] :
                        ( ( Xphi
                          & ( Xz = Xx ) )
                        | ( ~ Xphi
                          & ( Xz = Xy ) ) ) ) ) ) ) ) ) ) ).

thf('1',plain,
    ( iftrueProp1
    = ( ! [X4: $i,X6: $o,X8: $i] :
          ( ( in @ X8 @ X4 )
         => ! [X10: $i] :
              ( ( in @ X10 @ X4 )
             => ( X6
               => ( in @ X8
                  @ ( dsetconstr @ X4
                    @ ^ [V_1: $i] :
                        ( ( X6
                          & ( V_1 = X8 ) )
                        | ( ~ X6
                          & ( V_1 = X10 ) ) ) ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(iffalseProp2,axiom,
    ( iffalseProp2
    = ( ! [A: $i,Xphi: $o,Xx: $i] :
          ( ( in @ Xx @ A )
         => ! [Xy: $i] :
              ( ( in @ Xy @ A )
             => ( ~ Xphi
               => ( ( dsetconstr @ A
                    @ ^ [Xz: $i] :
                        ( ( Xphi
                          & ( Xz = Xx ) )
                        | ( ~ Xphi
                          & ( Xz = Xy ) ) ) )
                  = ( setadjoin @ Xy @ emptyset ) ) ) ) ) ) ) ).

thf('2',plain,
    ( iffalseProp2
    = ( ! [X4: $i,X6: $o,X8: $i] :
          ( ( in @ X8 @ X4 )
         => ! [X10: $i] :
              ( ( in @ X10 @ X4 )
             => ( ~ X6
               => ( ( dsetconstr @ X4
                    @ ^ [V_1: $i] :
                        ( ( X6
                          & ( V_1 = X8 ) )
                        | ( ~ X6
                          & ( V_1 = X10 ) ) ) )
                  = ( setadjoin @ X10 @ emptyset ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(iffalseProp1,axiom,
    ( iffalseProp1
    = ( ! [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('3',plain,
    ( iffalseProp1
    = ( ! [X4: $i,X6: $o,X8: $i] :
          ( ( in @ X8 @ X4 )
         => ! [X10: $i] :
              ( ( in @ X10 @ X4 )
             => ( ~ X6
               => ( in @ X10
                  @ ( dsetconstr @ X4
                    @ ^ [V_1: $i] :
                        ( ( X6
                          & ( V_1 = X8 ) )
                        | ( ~ X6
                          & ( V_1 = X10 ) ) ) ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(singleton,axiom,
    ( singleton
    = ( ^ [A: $i] :
        ? [Xx: $i] :
          ( ( A
            = ( setadjoin @ Xx @ emptyset ) )
          & ( in @ Xx @ A ) ) ) ) ).

thf('4',plain,
    ( singleton
    = ( ^ [A: $i] :
        ? [Xx: $i] :
          ( ( A
            = ( setadjoin @ Xx @ emptyset ) )
          & ( in @ Xx @ A ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[singleton]) ).

thf('5',plain,
    ( singleton
    = ( ^ [V_1: $i] :
        ? [X4: $i] :
          ( ( V_1
            = ( setadjoin @ X4 @ emptyset ) )
          & ( in @ X4 @ V_1 ) ) ) ),
    define([status(thm)]) ).

thf(ifSingleton,conjecture,
    ( iffalseProp1
   => ( iffalseProp2
     => ( iftrueProp1
       => ( iftrueProp2
         => ! [A: $i,Xphi: $o,Xx: $i] :
              ( ( in @ Xx @ A )
             => ! [Xy: $i] :
                  ( ( in @ Xy @ A )
                 => ( singleton
                    @ ( dsetconstr @ A
                      @ ^ [Xz: $i] :
                          ( ( Xphi
                            & ( Xz = Xx ) )
                          | ( ~ Xphi
                            & ( Xz = Xy ) ) ) ) ) ) ) ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( ! [X4: $i,X6: $o,X8: $i] :
        ( ( in @ X8 @ X4 )
       => ! [X10: $i] :
            ( ( in @ X10 @ X4 )
           => ( ~ X6
             => ( in @ X10
                @ ( dsetconstr @ X4
                  @ ^ [V_1: $i] :
                      ( ( ( V_1 = X10 )
                        & ~ X6 )
                      | ( ( V_1 = X8 )
                        & X6 ) ) ) ) ) ) )
   => ( ! [X12: $i,X14: $o,X16: $i] :
          ( ( in @ X16 @ X12 )
         => ! [X18: $i] :
              ( ( in @ X18 @ X12 )
             => ( ~ X14
               => ( ( dsetconstr @ X12
                    @ ^ [V_2: $i] :
                        ( ( ( V_2 = X18 )
                          & ~ X14 )
                        | ( ( V_2 = X16 )
                          & X14 ) ) )
                  = ( setadjoin @ X18 @ emptyset ) ) ) ) )
     => ( ! [X20: $i,X22: $o,X24: $i] :
            ( ( in @ X24 @ X20 )
           => ! [X26: $i] :
                ( ( in @ X26 @ X20 )
               => ( X22
                 => ( in @ X24
                    @ ( dsetconstr @ X20
                      @ ^ [V_3: $i] :
                          ( ( ( V_3 = X26 )
                            & ~ X22 )
                          | ( ( V_3 = X24 )
                            & X22 ) ) ) ) ) ) )
       => ( ! [X28: $i,X30: $o,X32: $i] :
              ( ( in @ X32 @ X28 )
             => ! [X34: $i] :
                  ( ( in @ X34 @ X28 )
                 => ( X30
                   => ( ( dsetconstr @ X28
                        @ ^ [V_4: $i] :
                            ( ( ( V_4 = X34 )
                              & ~ X30 )
                            | ( ( V_4 = X32 )
                              & X30 ) ) )
                      = ( setadjoin @ X32 @ emptyset ) ) ) ) )
         => ! [X36: $i,X38: $o,X40: $i] :
              ( ( in @ X40 @ X36 )
             => ! [X42: $i] :
                  ( ( in @ X42 @ X36 )
                 => ? [X44: $i] :
                      ( ( ( dsetconstr @ X36
                          @ ^ [V_5: $i] :
                              ( ( ( V_5 = X42 )
                                & ~ X38 )
                              | ( ( V_5 = X40 )
                                & X38 ) ) )
                        = ( setadjoin @ X44 @ emptyset ) )
                      & ( in @ X44
                        @ ( dsetconstr @ X36
                          @ ^ [V_6: $i] :
                              ( ( ( V_6 = X42 )
                                & ~ X38 )
                              | ( ( V_6 = X40 )
                                & X38 ) ) ) ) ) ) ) ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ( ! [X4: $i,X6: $o,X8: $i] :
          ( ( in @ X8 @ X4 )
         => ! [X10: $i] :
              ( ( in @ X10 @ X4 )
             => ( ~ X6
               => ( in @ X10
                  @ ( dsetconstr @ X4
                    @ ^ [V_1: $i] :
                        ( ( ( V_1 = X10 )
                          & ~ X6 )
                        | ( ( V_1 = X8 )
                          & X6 ) ) ) ) ) ) )
     => ( ! [X12: $i,X14: $o,X16: $i] :
            ( ( in @ X16 @ X12 )
           => ! [X18: $i] :
                ( ( in @ X18 @ X12 )
               => ( ~ X14
                 => ( ( dsetconstr @ X12
                      @ ^ [V_2: $i] :
                          ( ( ( V_2 = X18 )
                            & ~ X14 )
                          | ( ( V_2 = X16 )
                            & X14 ) ) )
                    = ( setadjoin @ X18 @ emptyset ) ) ) ) )
       => ( ! [X20: $i,X22: $o,X24: $i] :
              ( ( in @ X24 @ X20 )
             => ! [X26: $i] :
                  ( ( in @ X26 @ X20 )
                 => ( X22
                   => ( in @ X24
                      @ ( dsetconstr @ X20
                        @ ^ [V_3: $i] :
                            ( ( ( V_3 = X26 )
                              & ~ X22 )
                            | ( ( V_3 = X24 )
                              & X22 ) ) ) ) ) ) )
         => ( ! [X28: $i,X30: $o,X32: $i] :
                ( ( in @ X32 @ X28 )
               => ! [X34: $i] :
                    ( ( in @ X34 @ X28 )
                   => ( X30
                     => ( ( dsetconstr @ X28
                          @ ^ [V_4: $i] :
                              ( ( ( V_4 = X34 )
                                & ~ X30 )
                              | ( ( V_4 = X32 )
                                & X30 ) ) )
                        = ( setadjoin @ X32 @ emptyset ) ) ) ) )
           => ! [X36: $i,X38: $o,X40: $i] :
                ( ( in @ X40 @ X36 )
               => ! [X42: $i] :
                    ( ( in @ X42 @ X36 )
                   => ? [X44: $i] :
                        ( ( ( dsetconstr @ X36
                            @ ^ [V_5: $i] :
                                ( ( ( V_5 = X42 )
                                  & ~ X38 )
                                | ( ( V_5 = X40 )
                                  & X38 ) ) )
                          = ( setadjoin @ X44 @ emptyset ) )
                        & ( in @ X44
                          @ ( dsetconstr @ X36
                            @ ^ [V_6: $i] :
                                ( ( ( V_6 = X42 )
                                  & ~ X38 )
                                | ( ( V_6 = X40 )
                                  & X38 ) ) ) ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5,plain,
    ! [X9: $i,X10: $i,X11: $i,X12: $o] :
      ( ~ ( in @ X9 @ X10 )
      | ( ( dsetconstr @ X10
          @ ^ [Y0: $i] :
              ( ( ( Y0 = X9 )
                & ( (~) @ X12 ) )
              | ( ( Y0 = X11 )
                & X12 ) ) )
        = ( setadjoin @ X11 @ emptyset ) )
      | ~ X12
      | ~ ( in @ X11 @ X10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl352,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X1 @ X0 )
      | ( ( dsetconstr @ X0
          @ ^ [Y0: $i] :
              ( ( ( Y0 = X1 )
                & ( (~) @ $true ) )
              | ( ( Y0 = X2 )
                & $true ) ) )
        = ( setadjoin @ X2 @ emptyset ) )
      | ~ ( in @ X2 @ X0 ) ),
    inference(false_elim,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl363,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X1 @ X0 )
      | ( ( dsetconstr @ X0
          @ ^ [Y0: $i] : ( Y0 = X2 ) )
        = ( setadjoin @ X2 @ emptyset ) )
      | ~ ( in @ X2 @ X0 ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl352]) ).

thf(zip_derived_cl416,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X1 @ X0 )
      | ( ( dsetconstr @ X0
          @ ^ [Y0: $i] : ( Y0 = X1 ) )
        = ( setadjoin @ X1 @ emptyset ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl363]) ).

thf(zip_derived_cl2,plain,
    in @ sk__20 @ sk__17,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl4,plain,
    in @ sk__19 @ sk__17,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i,X2: $o,X3: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( in @ X0
        @ ( dsetconstr @ X1
          @ ^ [Y0: $i] :
              ( ( ( Y0 = X0 )
                & ( (~) @ X2 ) )
              | ( ( Y0 = X3 )
                & X2 ) ) ) )
      | X2
      | ~ ( in @ X3 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $o] :
      ( ~ ( in @ X0 @ sk__17 )
      | X1
      | ( in @ sk__19
        @ ( dsetconstr @ sk__17
          @ ^ [Y0: $i] :
              ( ( ( Y0 = sk__19 )
                & ( (~) @ X1 ) )
              | ( ( Y0 = X0 )
                & X1 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl0]) ).

thf(zip_derived_cl16,plain,
    ! [X0: $o] :
      ( ( in @ sk__19
        @ ( dsetconstr @ sk__17
          @ ^ [Y0: $i] :
              ( ( ( Y0 = sk__19 )
                & ( (~) @ X0 ) )
              | ( ( Y0 = sk__20 )
                & X0 ) ) ) )
      | X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl8]) ).

thf(zip_derived_cl151,plain,
    ( in @ sk__19
    @ ( dsetconstr @ sk__17
      @ ^ [Y0: $i] :
          ( ( ( Y0 = sk__19 )
            & ( (~) @ $false ) )
          | ( ( Y0 = sk__20 )
            & $false ) ) ) ),
    inference(false_elim,[status(thm)],[zip_derived_cl16]) ).

thf(zip_derived_cl154,plain,
    ( in @ sk__19
    @ ( dsetconstr @ sk__17
      @ ^ [Y0: $i] : ( Y0 = sk__19 ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl151]) ).

thf(zip_derived_cl3,plain,
    ! [X8: $i] :
      ( ( ( dsetconstr @ sk__17
          @ ^ [Y0: $i] :
              ( ( ( Y0 = sk__20 )
                & ( (~) @ sk__18 ) )
              | ( ( Y0 = sk__19 )
                & sk__18 ) ) )
       != ( setadjoin @ X8 @ emptyset ) )
      | ~ ( in @ X8
          @ ( dsetconstr @ sk__17
            @ ^ [Y0: $i] :
                ( ( ( Y0 = sk__20 )
                  & ( (~) @ sk__18 ) )
                | ( ( Y0 = sk__19 )
                  & sk__18 ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl4_001,plain,
    in @ sk__19 @ sk__17,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl2_002,plain,
    in @ sk__20 @ sk__17,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl6,plain,
    ! [X13: $i,X14: $i,X15: $o,X16: $i] :
      ( ~ ( in @ X13 @ X14 )
      | ( ( dsetconstr @ X14
          @ ^ [Y0: $i] :
              ( ( ( Y0 = X13 )
                & ( (~) @ X15 ) )
              | ( ( Y0 = X16 )
                & X15 ) ) )
        = ( setadjoin @ X13 @ emptyset ) )
      | X15
      | ~ ( in @ X16 @ X14 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i,X1: $o] :
      ( ~ ( in @ X0 @ sk__17 )
      | X1
      | ( ( dsetconstr @ sk__17
          @ ^ [Y0: $i] :
              ( ( ( Y0 = sk__20 )
                & ( (~) @ X1 ) )
              | ( ( Y0 = X0 )
                & X1 ) ) )
        = ( setadjoin @ sk__20 @ emptyset ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl6]) ).

thf(zip_derived_cl29,plain,
    ! [X0: $o] :
      ( ( ( dsetconstr @ sk__17
          @ ^ [Y0: $i] :
              ( ( ( Y0 = sk__20 )
                & ( (~) @ X0 ) )
              | ( ( Y0 = sk__19 )
                & X0 ) ) )
        = ( setadjoin @ sk__20 @ emptyset ) )
      | X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl21]) ).

thf(zip_derived_cl4_003,plain,
    in @ sk__19 @ sk__17,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl2_004,plain,
    in @ sk__20 @ sk__17,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl0_005,plain,
    ! [X0: $i,X1: $i,X2: $o,X3: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( in @ X0
        @ ( dsetconstr @ X1
          @ ^ [Y0: $i] :
              ( ( ( Y0 = X0 )
                & ( (~) @ X2 ) )
              | ( ( Y0 = X3 )
                & X2 ) ) ) )
      | X2
      | ~ ( in @ X3 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $o] :
      ( ~ ( in @ X0 @ sk__17 )
      | X1
      | ( in @ sk__20
        @ ( dsetconstr @ sk__17
          @ ^ [Y0: $i] :
              ( ( ( Y0 = sk__20 )
                & ( (~) @ X1 ) )
              | ( ( Y0 = X0 )
                & X1 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).

thf(zip_derived_cl12,plain,
    ! [X0: $o] :
      ( ( in @ sk__20
        @ ( dsetconstr @ sk__17
          @ ^ [Y0: $i] :
              ( ( ( Y0 = sk__20 )
                & ( (~) @ X0 ) )
              | ( ( Y0 = sk__19 )
                & X0 ) ) ) )
      | X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl7]) ).

thf(zip_derived_cl3_006,plain,
    ! [X8: $i] :
      ( ( ( dsetconstr @ sk__17
          @ ^ [Y0: $i] :
              ( ( ( Y0 = sk__20 )
                & ( (~) @ sk__18 ) )
              | ( ( Y0 = sk__19 )
                & sk__18 ) ) )
       != ( setadjoin @ X8 @ emptyset ) )
      | ~ ( in @ X8
          @ ( dsetconstr @ sk__17
            @ ^ [Y0: $i] :
                ( ( ( Y0 = sk__20 )
                  & ( (~) @ sk__18 ) )
                | ( ( Y0 = sk__19 )
                  & sk__18 ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl191,plain,
    ( sk__18
    | ( ( dsetconstr @ sk__17
        @ ^ [Y0: $i] :
            ( ( ( Y0 = sk__20 )
              & ( (~) @ sk__18 ) )
            | ( ( Y0 = sk__19 )
              & sk__18 ) ) )
     != ( setadjoin @ sk__20 @ emptyset ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl3]) ).

thf(zip_derived_cl687,plain,
    ( ( ( setadjoin @ sk__20 @ emptyset )
     != ( setadjoin @ sk__20 @ emptyset ) )
    | sk__18
    | sk__18 ),
    inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl191]) ).

thf(zip_derived_cl710,plain,
    sk__18,
    inference(simplify,[status(thm)],[zip_derived_cl687]) ).

thf(zip_derived_cl710_007,plain,
    sk__18,
    inference(simplify,[status(thm)],[zip_derived_cl687]) ).

thf(zip_derived_cl710_008,plain,
    sk__18,
    inference(simplify,[status(thm)],[zip_derived_cl687]) ).

thf(zip_derived_cl710_009,plain,
    sk__18,
    inference(simplify,[status(thm)],[zip_derived_cl687]) ).

thf(zip_derived_cl715,plain,
    ! [X8: $i] :
      ( ( ( dsetconstr @ sk__17
          @ ^ [Y0: $i] :
              ( ( ( Y0 = sk__20 )
                & ( (~) @ $true ) )
              | ( ( Y0 = sk__19 )
                & $true ) ) )
       != ( setadjoin @ X8 @ emptyset ) )
      | ~ ( in @ X8
          @ ( dsetconstr @ sk__17
            @ ^ [Y0: $i] :
                ( ( ( Y0 = sk__20 )
                  & ( (~) @ $true ) )
                | ( ( Y0 = sk__19 )
                  & $true ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl710,zip_derived_cl710,zip_derived_cl710,zip_derived_cl710]) ).

thf(zip_derived_cl716,plain,
    ! [X8: $i] :
      ( ( ( dsetconstr @ sk__17
          @ ^ [Y0: $i] : ( Y0 = sk__19 ) )
       != ( setadjoin @ X8 @ emptyset ) )
      | ~ ( in @ X8
          @ ( dsetconstr @ sk__17
            @ ^ [Y0: $i] : ( Y0 = sk__19 ) ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl715]) ).

thf(zip_derived_cl722,plain,
    ( ( dsetconstr @ sk__17
      @ ^ [Y0: $i] : ( Y0 = sk__19 ) )
   != ( setadjoin @ sk__19 @ emptyset ) ),
    inference('sup-',[status(thm)],[zip_derived_cl154,zip_derived_cl716]) ).

thf(zip_derived_cl735,plain,
    ( ( ( setadjoin @ sk__19 @ emptyset )
     != ( setadjoin @ sk__19 @ emptyset ) )
    | ~ ( in @ sk__19 @ sk__17 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl416,zip_derived_cl722]) ).

thf(zip_derived_cl4_010,plain,
    in @ sk__19 @ sk__17,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl738,plain,
    ( ( setadjoin @ sk__19 @ emptyset )
   != ( setadjoin @ sk__19 @ emptyset ) ),
    inference(demod,[status(thm)],[zip_derived_cl735,zip_derived_cl4]) ).

thf(zip_derived_cl739,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl738]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SEU704^2 : TPTP v9.2.0. 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.f69spIox9I true
% 0.14/0.35  % Computer : n007.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 16:04:38 EDT 2025
% 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 HO mode
% 0.56/0.69  % Total configuration time : 828
% 0.56/0.69  % Estimated wc time : 1656
% 0.56/0.69  % Estimated cpu time (8 cpus) : 207.0
% 0.57/0.81  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.58/0.83  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.58/0.83  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.58/0.83  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.58/0.84  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.58/0.84  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.58/0.86  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.58/0.88  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 7.25/1.83  % Solved by lams/40_c_ic.sh.
% 7.25/1.83  % done 89 iterations in 0.945s
% 7.25/1.83  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 7.25/1.83  % SZS output start Refutation
% See solution above
% 7.25/1.83  
% 7.25/1.83  
% 7.25/1.83  % Terminating...
% 7.72/1.99  % Runner terminated.
% 7.72/2.02  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------