TSTP Solution File: SEU695^2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU695^2 : 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.PLeGIcuhcb true

% Computer : n025.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 19:16:17 EDT 2023

% Result   : Theorem 1.80s 1.07s
% Output   : Refutation 1.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   60 (  18 unt;  14 typ;   0 def)
%            Number of atoms       :  177 (  55 equ;   0 cnn)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives :  729 (  56   ~;  40   |;   0   &; 579   @)
%                                         (   0 <=>;  54  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   51 (  51   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;   7 con; 0-4 aty)
%            Number of variables   :  170 (  67   ^; 103   !;   0   ?; 170   :)

% Comments : 
%------------------------------------------------------------------------------
thf(lam_type,type,
    lam: $i > $i > ( $i > $i ) > $i ).

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

thf(func_type,type,
    func: $i > $i > $i > $o ).

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

thf(dpsetconstr_type,type,
    dpsetconstr: $i > $i > ( $i > $i > $o ) > $i ).

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

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

thf(lamp_type,type,
    lamp: $o ).

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

thf(dpsetconstrI_type,type,
    dpsetconstrI: $o ).

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

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

thf(funcGraphProp2_type,type,
    funcGraphProp2: $o ).

thf(ap_type,type,
    ap: $i > $i > $i > $i > $i ).

thf(funcGraphProp2,axiom,
    ( funcGraphProp2
    = ( ! [A: $i,B: $i,Xf: $i] :
          ( ( func @ A @ B @ Xf )
         => ! [Xx: $i] :
              ( ( in @ Xx @ A )
             => ! [Xy: $i] :
                  ( ( in @ Xy @ B )
                 => ( ( in @ ( kpair @ Xx @ Xy ) @ Xf )
                   => ( ( ap @ A @ B @ Xf @ Xx )
                      = Xy ) ) ) ) ) ) ) ).

thf('0',plain,
    ( funcGraphProp2
    = ( ! [X4: $i,X6: $i,X8: $i] :
          ( ( func @ X4 @ X6 @ X8 )
         => ! [X10: $i] :
              ( ( in @ X10 @ X4 )
             => ! [X12: $i] :
                  ( ( in @ X12 @ X6 )
                 => ( ( in @ ( kpair @ X10 @ X12 ) @ X8 )
                   => ( ( ap @ X4 @ X6 @ X8 @ X10 )
                      = X12 ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(lamp,axiom,
    ( lamp
    = ( ! [A: $i,B: $i,Xf: $i > $i] :
          ( ! [Xx: $i] :
              ( ( in @ Xx @ A )
             => ( in @ ( Xf @ Xx ) @ B ) )
         => ( func @ A @ B
            @ ( lam @ A @ B
              @ ^ [Xx: $i] : ( Xf @ Xx ) ) ) ) ) ) ).

thf('1',plain,
    ( lamp
    = ( ! [X4: $i,X6: $i,X8: $i > $i] :
          ( ! [X10: $i] :
              ( ( in @ X10 @ X4 )
             => ( in @ ( X8 @ X10 ) @ X6 ) )
         => ( func @ X4 @ X6
            @ ( lam @ X4 @ X6
              @ ^ [V_1: $i] : ( X8 @ V_1 ) ) ) ) ) ),
    define([status(thm)]) ).

thf(lam,axiom,
    ( lam
    = ( ^ [A: $i,B: $i,Xf: $i > $i] :
          ( dpsetconstr @ A @ B
          @ ^ [Xx: $i,Xy: $i] :
              ( ( Xf @ Xx )
              = Xy ) ) ) ) ).

thf('2',plain,
    ( lam
    = ( ^ [A: $i,B: $i,Xf: $i > $i] :
          ( dpsetconstr @ A @ B
          @ ^ [Xx: $i,Xy: $i] :
              ( ( Xf @ Xx )
              = Xy ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[lam]) ).

thf('3',plain,
    ( lam
    = ( ^ [V_1: $i,V_2: $i,V_3: $i > $i] :
          ( dpsetconstr @ V_1 @ V_2
          @ ^ [V_4: $i,V_5: $i] :
              ( ( V_3 @ V_4 )
              = V_5 ) ) ) ),
    define([status(thm)]) ).

thf(dpsetconstrI,axiom,
    ( dpsetconstrI
    = ( ! [A: $i,B: $i,Xphi: $i > $i > $o,Xx: $i] :
          ( ( in @ Xx @ A )
         => ! [Xy: $i] :
              ( ( in @ Xy @ B )
             => ( ( Xphi @ Xx @ Xy )
               => ( in @ ( kpair @ Xx @ Xy )
                  @ ( dpsetconstr @ A @ B
                    @ ^ [Xz: $i,Xu: $i] : ( Xphi @ Xz @ Xu ) ) ) ) ) ) ) ) ).

thf('4',plain,
    ( dpsetconstrI
    = ( ! [X4: $i,X6: $i,X8: $i > $i > $o,X10: $i] :
          ( ( in @ X10 @ X4 )
         => ! [X12: $i] :
              ( ( in @ X12 @ X6 )
             => ( ( X8 @ X10 @ X12 )
               => ( in @ ( kpair @ X10 @ X12 )
                  @ ( dpsetconstr @ X4 @ X6
                    @ ^ [V_1: $i,V_2: $i] : ( X8 @ V_1 @ V_2 ) ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(beta1,conjecture,
    ( dpsetconstrI
   => ( lamp
     => ( funcGraphProp2
       => ! [A: $i,B: $i,Xf: $i > $i] :
            ( ! [Xx: $i] :
                ( ( in @ Xx @ A )
               => ( in @ ( Xf @ Xx ) @ B ) )
           => ! [Xx: $i] :
                ( ( in @ Xx @ A )
               => ( ( ap @ A @ B
                    @ ( lam @ A @ B
                      @ ^ [Xy: $i] : ( Xf @ Xy ) )
                    @ Xx )
                  = ( Xf @ Xx ) ) ) ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( ! [X4: $i,X6: $i,X8: $i > $i > $o,X10: $i] :
        ( ( in @ X10 @ X4 )
       => ! [X12: $i] :
            ( ( in @ X12 @ X6 )
           => ( ( X8 @ X10 @ X12 )
             => ( in @ ( kpair @ X10 @ X12 )
                @ ( dpsetconstr @ X4 @ X6
                  @ ^ [V_1: $i,V_2: $i] : ( X8 @ V_1 @ V_2 ) ) ) ) ) )
   => ( ! [X14: $i,X16: $i,X18: $i > $i] :
          ( ! [X20: $i] :
              ( ( in @ X20 @ X14 )
             => ( in @ ( X18 @ X20 ) @ X16 ) )
         => ( func @ X14 @ X16
            @ ( dpsetconstr @ X14 @ X16
              @ ^ [V_3: $i,V_4: $i] :
                  ( ( X18 @ V_3 )
                  = V_4 ) ) ) )
     => ( ! [X22: $i,X24: $i,X26: $i] :
            ( ( func @ X22 @ X24 @ X26 )
           => ! [X28: $i] :
                ( ( in @ X28 @ X22 )
               => ! [X30: $i] :
                    ( ( in @ X30 @ X24 )
                   => ( ( in @ ( kpair @ X28 @ X30 ) @ X26 )
                     => ( ( ap @ X22 @ X24 @ X26 @ X28 )
                        = X30 ) ) ) ) )
       => ! [X32: $i,X34: $i,X36: $i > $i] :
            ( ! [X38: $i] :
                ( ( in @ X38 @ X32 )
               => ( in @ ( X36 @ X38 ) @ X34 ) )
           => ! [X40: $i] :
                ( ( in @ X40 @ X32 )
               => ( ( ap @ X32 @ X34
                    @ ( dpsetconstr @ X32 @ X34
                      @ ^ [V_5: $i,V_6: $i] :
                          ( ( X36 @ V_5 )
                          = V_6 ) )
                    @ X40 )
                  = ( X36 @ X40 ) ) ) ) ) ) ) ).

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

thf(zip_derived_cl4,plain,
    ! [X10: $i] :
      ( ( in @ ( sk__17 @ X10 ) @ sk__16 )
      | ~ ( in @ X10 @ sk__15 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i > $i > $o] :
      ( ~ ( in @ X0 @ X1 )
      | ( in @ ( kpair @ X2 @ X0 )
        @ ( dpsetconstr @ X3 @ X1
          @ ^ [Y0: $i,Y1: $i] : ( X4 @ Y0 @ Y1 ) ) )
      | ~ ( X4 @ X2 @ X0 )
      | ~ ( in @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i > $i > $o] :
      ( ~ ( in @ X0 @ X1 )
      | ( in @ ( kpair @ X2 @ X0 ) @ ( dpsetconstr @ X3 @ X1 @ X4 ) )
      | ~ ( X4 @ X2 @ X0 )
      | ~ ( in @ X2 @ X3 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl4_001,plain,
    ! [X10: $i] :
      ( ( in @ ( sk__17 @ X10 ) @ sk__16 )
      | ~ ( in @ X10 @ sk__15 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl5,plain,
    ! [X11: $i,X12: $i,X13: $i > $i] :
      ( ( func @ X11 @ X12
        @ ( dpsetconstr @ X11 @ X12
          @ ^ [Y0: $i,Y1: $i] :
              ( ( X13 @ Y0 )
              = Y1 ) ) )
      | ~ ( in @ ( X13 @ ( sk__14 @ X13 @ X12 @ X11 ) ) @ X12 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl131,plain,
    ! [X11: $i,X12: $i,X13: $i > $i] :
      ( ( func @ X11 @ X12
        @ ( dpsetconstr @ X11 @ X12
          @ ^ [Y0: $i] :
              ( $i
              = ( X13 @ Y0 ) ) ) )
      | ~ ( in @ ( X13 @ ( sk__14 @ X13 @ X12 @ X11 ) ) @ X12 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl4_002,plain,
    ! [X10: $i] :
      ( ( in @ ( sk__17 @ X10 ) @ sk__16 )
      | ~ ( in @ X10 @ sk__15 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1,plain,
    ! [X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ~ ( in @ X5 @ X6 )
      | ~ ( in @ ( kpair @ X5 @ X7 ) @ X8 )
      | ( ( ap @ X6 @ X9 @ X8 @ X5 )
        = X7 )
      | ~ ( in @ X7 @ X9 )
      | ~ ( func @ X6 @ X9 @ X8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl3,plain,
    ( ( ap @ sk__15 @ sk__16
      @ ( dpsetconstr @ sk__15 @ sk__16
        @ ^ [Y0: $i,Y1: $i] :
            ( ( sk__17 @ Y0 )
            = Y1 ) )
      @ sk__18 )
   != ( sk__17 @ sk__18 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl8,plain,
    ( ( ap @ sk__15 @ sk__16
      @ ( dpsetconstr @ sk__15 @ sk__16
        @ ^ [Y0: $i] :
            ( $i
            = ( sk__17 @ Y0 ) ) )
      @ sk__18 )
   != ( sk__17 @ sk__18 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i] :
      ( ( X0
       != ( sk__17 @ sk__18 ) )
      | ~ ( func @ sk__15 @ sk__16
          @ ( dpsetconstr @ sk__15 @ sk__16
            @ ^ [Y0: $i] :
                ( $i
                = ( sk__17 @ Y0 ) ) ) )
      | ~ ( in @ X0 @ sk__16 )
      | ~ ( in @ ( kpair @ sk__18 @ X0 )
          @ ( dpsetconstr @ sk__15 @ sk__16
            @ ^ [Y0: $i] :
                ( $i
                = ( sk__17 @ Y0 ) ) ) )
      | ~ ( in @ sk__18 @ sk__15 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl8]) ).

thf(zip_derived_cl2,plain,
    in @ sk__18 @ sk__15,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl54,plain,
    ! [X0: $i] :
      ( ( X0
       != ( sk__17 @ sk__18 ) )
      | ~ ( func @ sk__15 @ sk__16
          @ ( dpsetconstr @ sk__15 @ sk__16
            @ ^ [Y0: $i] :
                ( $i
                = ( sk__17 @ Y0 ) ) ) )
      | ~ ( in @ X0 @ sk__16 )
      | ~ ( in @ ( kpair @ sk__18 @ X0 )
          @ ( dpsetconstr @ sk__15 @ sk__16
            @ ^ [Y0: $i] :
                ( $i
                = ( sk__17 @ Y0 ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl25,zip_derived_cl2]) ).

thf(zip_derived_cl55,plain,
    ( ~ ( in @ ( kpair @ sk__18 @ ( sk__17 @ sk__18 ) )
        @ ( dpsetconstr @ sk__15 @ sk__16
          @ ^ [Y0: $i] :
              ( $i
              = ( sk__17 @ Y0 ) ) ) )
    | ~ ( in @ ( sk__17 @ sk__18 ) @ sk__16 )
    | ~ ( func @ sk__15 @ sk__16
        @ ( dpsetconstr @ sk__15 @ sk__16
          @ ^ [Y0: $i] :
              ( $i
              = ( sk__17 @ Y0 ) ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl54]) ).

thf(zip_derived_cl62,plain,
    ( ~ ( in @ sk__18 @ sk__15 )
    | ~ ( func @ sk__15 @ sk__16
        @ ( dpsetconstr @ sk__15 @ sk__16
          @ ^ [Y0: $i] :
              ( $i
              = ( sk__17 @ Y0 ) ) ) )
    | ~ ( in @ ( kpair @ sk__18 @ ( sk__17 @ sk__18 ) )
        @ ( dpsetconstr @ sk__15 @ sk__16
          @ ^ [Y0: $i] :
              ( $i
              = ( sk__17 @ Y0 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl55]) ).

thf(zip_derived_cl2_003,plain,
    in @ sk__18 @ sk__15,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl87,plain,
    ( ~ ( func @ sk__15 @ sk__16
        @ ( dpsetconstr @ sk__15 @ sk__16
          @ ^ [Y0: $i] :
              ( $i
              = ( sk__17 @ Y0 ) ) ) )
    | ~ ( in @ ( kpair @ sk__18 @ ( sk__17 @ sk__18 ) )
        @ ( dpsetconstr @ sk__15 @ sk__16
          @ ^ [Y0: $i] :
              ( $i
              = ( sk__17 @ Y0 ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl62,zip_derived_cl2]) ).

thf(zip_derived_cl134,plain,
    ( ~ ( in
        @ ( ^ [Y0: $i] : ( sk__17 @ Y0 )
          @ ( sk__14
            @ ^ [Y0: $i] : ( sk__17 @ Y0 )
            @ sk__16
            @ sk__15 ) )
        @ sk__16 )
    | ~ ( in @ ( kpair @ sk__18 @ ( sk__17 @ sk__18 ) )
        @ ( dpsetconstr @ sk__15 @ sk__16
          @ ^ [Y0: $i] :
              ( $i
              = ( sk__17 @ Y0 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl131,zip_derived_cl87]) ).

thf(zip_derived_cl149,plain,
    ( ~ ( in @ ( sk__17 @ ( sk__14 @ sk__17 @ sk__16 @ sk__15 ) ) @ sk__16 )
    | ~ ( in @ ( kpair @ sk__18 @ ( sk__17 @ sk__18 ) )
        @ ( dpsetconstr @ sk__15 @ sk__16
          @ ^ [Y0: $i] :
              ( $i
              = ( sk__17 @ Y0 ) ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl134]) ).

thf(zip_derived_cl158,plain,
    ( ~ ( in @ ( sk__14 @ sk__17 @ sk__16 @ sk__15 ) @ sk__15 )
    | ~ ( in @ ( kpair @ sk__18 @ ( sk__17 @ sk__18 ) )
        @ ( dpsetconstr @ sk__15 @ sk__16
          @ ^ [Y0: $i] :
              ( $i
              = ( sk__17 @ Y0 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl149]) ).

thf(zip_derived_cl6,plain,
    ! [X11: $i,X12: $i,X13: $i > $i] :
      ( ( func @ X11 @ X12
        @ ( dpsetconstr @ X11 @ X12
          @ ^ [Y0: $i,Y1: $i] :
              ( ( X13 @ Y0 )
              = Y1 ) ) )
      | ( in @ ( sk__14 @ X13 @ X12 @ X11 ) @ X11 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl7,plain,
    ! [X11: $i,X12: $i,X13: $i > $i] :
      ( ( func @ X11 @ X12
        @ ( dpsetconstr @ X11 @ X12
          @ ^ [Y0: $i] :
              ( $i
              = ( X13 @ Y0 ) ) ) )
      | ( in @ ( sk__14 @ X13 @ X12 @ X11 ) @ X11 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl87_004,plain,
    ( ~ ( func @ sk__15 @ sk__16
        @ ( dpsetconstr @ sk__15 @ sk__16
          @ ^ [Y0: $i] :
              ( $i
              = ( sk__17 @ Y0 ) ) ) )
    | ~ ( in @ ( kpair @ sk__18 @ ( sk__17 @ sk__18 ) )
        @ ( dpsetconstr @ sk__15 @ sk__16
          @ ^ [Y0: $i] :
              ( $i
              = ( sk__17 @ Y0 ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl62,zip_derived_cl2]) ).

thf(zip_derived_cl113,plain,
    ( ( in
      @ ( sk__14
        @ ^ [Y0: $i] : ( sk__17 @ Y0 )
        @ sk__16
        @ sk__15 )
      @ sk__15 )
    | ~ ( in @ ( kpair @ sk__18 @ ( sk__17 @ sk__18 ) )
        @ ( dpsetconstr @ sk__15 @ sk__16
          @ ^ [Y0: $i] :
              ( $i
              = ( sk__17 @ Y0 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl87]) ).

thf(zip_derived_cl114,plain,
    ( ( in @ ( sk__14 @ sk__17 @ sk__16 @ sk__15 ) @ sk__15 )
    | ~ ( in @ ( kpair @ sk__18 @ ( sk__17 @ sk__18 ) )
        @ ( dpsetconstr @ sk__15 @ sk__16
          @ ^ [Y0: $i] :
              ( $i
              = ( sk__17 @ Y0 ) ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl113]) ).

thf(zip_derived_cl160,plain,
    ~ ( in @ ( kpair @ sk__18 @ ( sk__17 @ sk__18 ) )
      @ ( dpsetconstr @ sk__15 @ sk__16
        @ ^ [Y0: $i] :
            ( $i
            = ( sk__17 @ Y0 ) ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl158,zip_derived_cl114]) ).

thf(zip_derived_cl164,plain,
    ( ~ ( in @ sk__18 @ sk__15 )
    | ~ ( ^ [Y0: $i] :
            ( $i
            = ( sk__17 @ Y0 ) )
        @ sk__18
        @ ( sk__17 @ sk__18 ) )
    | ~ ( in @ ( sk__17 @ sk__18 ) @ sk__16 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl160]) ).

thf(zip_derived_cl165,plain,
    ( ~ ( in @ sk__18 @ sk__15 )
    | ( ( sk__17 @ sk__18 )
     != ( sk__17 @ sk__18 ) )
    | ~ ( in @ ( sk__17 @ sk__18 ) @ sk__16 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl164]) ).

thf(zip_derived_cl2_005,plain,
    in @ sk__18 @ sk__15,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl166,plain,
    ( ( ( sk__17 @ sk__18 )
     != ( sk__17 @ sk__18 ) )
    | ~ ( in @ ( sk__17 @ sk__18 ) @ sk__16 ) ),
    inference(demod,[status(thm)],[zip_derived_cl165,zip_derived_cl2]) ).

thf(zip_derived_cl167,plain,
    ~ ( in @ ( sk__17 @ sk__18 ) @ sk__16 ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl166]) ).

thf(zip_derived_cl171,plain,
    ~ ( in @ sk__18 @ sk__15 ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl167]) ).

thf(zip_derived_cl2_006,plain,
    in @ sk__18 @ sk__15,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl173,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl171,zip_derived_cl2]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13  % Problem  : SEU695^2 : TPTP v8.1.2. Released v3.7.0.
% 0.10/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.PLeGIcuhcb true
% 0.12/0.33  % Computer : n025.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed Aug 23 17:39:35 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  % Running portfolio for 300 s
% 0.12/0.33  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.34  % Running in HO mode
% 0.18/0.60  % Total configuration time : 828
% 0.18/0.60  % Estimated wc time : 1656
% 0.18/0.60  % Estimated cpu time (8 cpus) : 207.0
% 0.18/0.67  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.18/0.71  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.18/0.71  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.18/0.73  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.18/0.73  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.18/0.73  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.18/0.73  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.18/0.73  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.80/1.07  % Solved by lams/40_c_ic.sh.
% 1.80/1.07  % done 18 iterations in 0.305s
% 1.80/1.07  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.80/1.07  % SZS output start Refutation
% See solution above
% 1.80/1.07  
% 1.80/1.07  
% 1.80/1.07  % Terminating...
% 2.27/1.18  % Runner terminated.
% 2.27/1.20  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------