↑ Up

Zipperpin---2.1.9999.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC153+1 : TPTP v9.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.AbB8AdoVLL 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 04:58:48 PM UTC 2025

% Result   : Theorem 0.56s 1.03s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   67 (  39 unt;   0 typ;   0 def)
%            Number of atoms       :  234 (  32 equ;   0 cnn)
%            Maximal formula atoms :   30 (   3 avg)
%            Number of connectives :  737 ( 128   ~; 121   |;  23   &; 442   @)
%                                         (   0 <=>;  23  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   32 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  15 usr;  10 con; 0-2 aty)
%            Number of variables   :   77 (   0   ^;  65   !;  12   ?;  77   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__17_type,type,
    sk__17: $i ).

thf(ssItem_type,type,
    ssItem: $i > $o ).

thf(sk__26_type,type,
    sk__26: $i ).

thf(sk__25_type,type,
    sk__25: $i ).

thf(nil_type,type,
    nil: $i ).

thf(app_type,type,
    app: $i > $i > $i ).

thf(ssList_type,type,
    ssList: $i > $o ).

thf(sk__24_type,type,
    sk__24: $i ).

thf(leq_type,type,
    leq: $i > $i > $o ).

thf(cons_type,type,
    cons: $i > $i > $i ).

thf(sk__22_type,type,
    sk__22: $i ).

thf(sk__23_type,type,
    sk__23: $i ).

thf(memberP_type,type,
    memberP: $i > $i > $o ).

thf(sk__21_type,type,
    sk__21: $i ).

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

thf(co1,conjecture,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ! [X: $i] :
                  ( ( ssList @ X )
                 => ( ( X != V )
                    | ( W != U )
                    | ? [Y: $i] :
                        ( ? [Z: $i] :
                            ( ? [X1: $i] :
                                ( ? [X2: $i] :
                                    ( ? [X3: $i] :
                                        ( ( ? [X4: $i] :
                                              ( ( ~ ( leq @ X4 @ Z )
                                                | ~ ( leq @ Y @ X4 ) )
                                              & ( memberP @ X2 @ X4 )
                                              & ( ssItem @ X4 ) )
                                          | ~ ( leq @ Y @ Z ) )
                                        & ( leq @ Z @ Y )
                                        & ( ( app @ ( app @ ( app @ ( app @ X1 @ ( cons @ Y @ nil ) ) @ X2 ) @ ( cons @ Z @ nil ) ) @ X3 )
                                          = W )
                                        & ( ssList @ X3 ) )
                                    & ( ssList @ X2 ) )
                                & ( ssList @ X1 ) )
                            & ( ssItem @ Z ) )
                        & ( ssItem @ Y ) )
                    | ! [X5: $i] :
                        ( ( ssItem @ X5 )
                       => ! [X6: $i] :
                            ( ( ssItem @ X6 )
                           => ! [X7: $i] :
                                ( ( ssList @ X7 )
                               => ! [X8: $i] :
                                    ( ( ssList @ X8 )
                                   => ! [X9: $i] :
                                        ( ( ssList @ X9 )
                                       => ( ( ( app @ ( app @ ( app @ ( app @ X7 @ ( cons @ X5 @ nil ) ) @ X8 ) @ ( cons @ X6 @ nil ) ) @ X9 )
                                           != U )
                                          | ~ ( leq @ X6 @ X5 )
                                          | ( ! [X10: $i] :
                                                ( ( ssItem @ X10 )
                                               => ( ~ ( memberP @ X8 @ X10 )
                                                  | ( ( leq @ X10 @ X6 )
                                                    & ( leq @ X5 @ X10 ) ) ) )
                                            & ( leq @ X5 @ X6 ) ) ) ) ) ) ) ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [U: $i] :
        ( ( ssList @ U )
       => ! [V: $i] :
            ( ( ssList @ V )
           => ! [W: $i] :
                ( ( ssList @ W )
               => ! [X: $i] :
                    ( ( ssList @ X )
                   => ( ( X != V )
                      | ( W != U )
                      | ? [Y: $i] :
                          ( ? [Z: $i] :
                              ( ? [X1: $i] :
                                  ( ? [X2: $i] :
                                      ( ? [X3: $i] :
                                          ( ( ? [X4: $i] :
                                                ( ( ~ ( leq @ X4 @ Z )
                                                  | ~ ( leq @ Y @ X4 ) )
                                                & ( memberP @ X2 @ X4 )
                                                & ( ssItem @ X4 ) )
                                            | ~ ( leq @ Y @ Z ) )
                                          & ( leq @ Z @ Y )
                                          & ( ( app @ ( app @ ( app @ ( app @ X1 @ ( cons @ Y @ nil ) ) @ X2 ) @ ( cons @ Z @ nil ) ) @ X3 )
                                            = W )
                                          & ( ssList @ X3 ) )
                                      & ( ssList @ X2 ) )
                                  & ( ssList @ X1 ) )
                              & ( ssItem @ Z ) )
                          & ( ssItem @ Y ) )
                      | ! [X5: $i] :
                          ( ( ssItem @ X5 )
                         => ! [X6: $i] :
                              ( ( ssItem @ X6 )
                             => ! [X7: $i] :
                                  ( ( ssList @ X7 )
                                 => ! [X8: $i] :
                                      ( ( ssList @ X8 )
                                     => ! [X9: $i] :
                                          ( ( ssList @ X9 )
                                         => ( ( ( app @ ( app @ ( app @ ( app @ X7 @ ( cons @ X5 @ nil ) ) @ X8 ) @ ( cons @ X6 @ nil ) ) @ X9 )
                                             != U )
                                            | ~ ( leq @ X6 @ X5 )
                                            | ( ! [X10: $i] :
                                                  ( ( ssItem @ X10 )
                                                 => ( ~ ( memberP @ X8 @ X10 )
                                                    | ( ( leq @ X10 @ X6 )
                                                      & ( leq @ X5 @ X10 ) ) ) )
                                              & ( leq @ X5 @ X6 ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl93,plain,
    ( ( app @ ( app @ ( app @ ( app @ sk__23 @ ( cons @ sk__21 @ nil ) ) @ sk__24 ) @ ( cons @ sk__22 @ nil ) ) @ sk__25 )
    = sk__17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl97,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( ssItem @ X0 )
      | ~ ( ssList @ X1 )
      | ~ ( ssItem @ X2 )
      | ~ ( memberP @ X1 @ X2 )
      | ( leq @ X3 @ X2 )
      | ~ ( leq @ X0 @ X3 )
      | ( ( app @ ( app @ ( app @ ( app @ X4 @ ( cons @ X3 @ nil ) ) @ X1 ) @ ( cons @ X0 @ nil ) ) @ X5 )
       != sk__19 )
      | ~ ( ssList @ X5 )
      | ~ ( ssList @ X4 )
      | ~ ( ssItem @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl100,plain,
    sk__19 = sk__17,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2198,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( ssItem @ X0 )
      | ~ ( ssList @ X1 )
      | ~ ( ssItem @ X2 )
      | ~ ( memberP @ X1 @ X2 )
      | ( leq @ X3 @ X2 )
      | ~ ( leq @ X0 @ X3 )
      | ( ( app @ ( app @ ( app @ ( app @ X4 @ ( cons @ X3 @ nil ) ) @ X1 ) @ ( cons @ X0 @ nil ) ) @ X5 )
       != sk__17 )
      | ~ ( ssList @ X5 )
      | ~ ( ssList @ X4 )
      | ~ ( ssItem @ X3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl97,zip_derived_cl100]) ).

thf(zip_derived_cl2202,plain,
    ! [X0: $i] :
      ( ( sk__17 != sk__17 )
      | ~ ( ssItem @ sk__21 )
      | ~ ( ssList @ sk__23 )
      | ~ ( ssList @ sk__25 )
      | ~ ( leq @ sk__22 @ sk__21 )
      | ( leq @ sk__21 @ X0 )
      | ~ ( memberP @ sk__24 @ X0 )
      | ~ ( ssItem @ X0 )
      | ~ ( ssList @ sk__24 )
      | ~ ( ssItem @ sk__22 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl2198]) ).

thf(zip_derived_cl96,plain,
    ssItem @ sk__21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl95,plain,
    ssList @ sk__23,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl94,plain,
    ssList @ sk__25,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl92,plain,
    leq @ sk__22 @ sk__21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl88,plain,
    ssList @ sk__24,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl87,plain,
    ssItem @ sk__22,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2218,plain,
    ! [X0: $i] :
      ( ( sk__17 != sk__17 )
      | ( leq @ sk__21 @ X0 )
      | ~ ( memberP @ sk__24 @ X0 )
      | ~ ( ssItem @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2202,zip_derived_cl96,zip_derived_cl95,zip_derived_cl94,zip_derived_cl92,zip_derived_cl88,zip_derived_cl87]) ).

thf(zip_derived_cl2219,plain,
    ! [X0: $i] :
      ( ~ ( ssItem @ X0 )
      | ~ ( memberP @ sk__24 @ X0 )
      | ( leq @ sk__21 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2218]) ).

thf(zip_derived_cl89,plain,
    ( ~ ( leq @ sk__21 @ sk__26 )
    | ~ ( leq @ sk__26 @ sk__22 )
    | ~ ( leq @ sk__21 @ sk__22 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl93_001,plain,
    ( ( app @ ( app @ ( app @ ( app @ sk__23 @ ( cons @ sk__21 @ nil ) ) @ sk__24 ) @ ( cons @ sk__22 @ nil ) ) @ sk__25 )
    = sk__17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl99,plain,
    ! [X0: $i,X1: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( ssItem @ X0 )
      | ~ ( ssList @ X1 )
      | ( leq @ X3 @ X0 )
      | ~ ( leq @ X0 @ X3 )
      | ( ( app @ ( app @ ( app @ ( app @ X4 @ ( cons @ X3 @ nil ) ) @ X1 ) @ ( cons @ X0 @ nil ) ) @ X5 )
       != sk__19 )
      | ~ ( ssList @ X5 )
      | ~ ( ssList @ X4 )
      | ~ ( ssItem @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl100_002,plain,
    sk__19 = sk__17,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2415,plain,
    ! [X0: $i,X1: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( ssItem @ X0 )
      | ~ ( ssList @ X1 )
      | ( leq @ X3 @ X0 )
      | ~ ( leq @ X0 @ X3 )
      | ( ( app @ ( app @ ( app @ ( app @ X4 @ ( cons @ X3 @ nil ) ) @ X1 ) @ ( cons @ X0 @ nil ) ) @ X5 )
       != sk__17 )
      | ~ ( ssList @ X5 )
      | ~ ( ssList @ X4 )
      | ~ ( ssItem @ X3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl99,zip_derived_cl100]) ).

thf(zip_derived_cl2419,plain,
    ( ( sk__17 != sk__17 )
    | ~ ( ssItem @ sk__21 )
    | ~ ( ssList @ sk__23 )
    | ~ ( ssList @ sk__25 )
    | ~ ( leq @ sk__22 @ sk__21 )
    | ( leq @ sk__21 @ sk__22 )
    | ~ ( ssList @ sk__24 )
    | ~ ( ssItem @ sk__22 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl2415]) ).

thf(zip_derived_cl96_003,plain,
    ssItem @ sk__21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl95_004,plain,
    ssList @ sk__23,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl94_005,plain,
    ssList @ sk__25,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl92_006,plain,
    leq @ sk__22 @ sk__21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl88_007,plain,
    ssList @ sk__24,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl87_008,plain,
    ssItem @ sk__22,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2435,plain,
    ( ( sk__17 != sk__17 )
    | ( leq @ sk__21 @ sk__22 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2419,zip_derived_cl96,zip_derived_cl95,zip_derived_cl94,zip_derived_cl92,zip_derived_cl88,zip_derived_cl87]) ).

thf(zip_derived_cl2436,plain,
    leq @ sk__21 @ sk__22,
    inference(simplify,[status(thm)],[zip_derived_cl2435]) ).

thf(zip_derived_cl2449,plain,
    ( ~ ( leq @ sk__21 @ sk__26 )
    | ~ ( leq @ sk__26 @ sk__22 ) ),
    inference(demod,[status(thm)],[zip_derived_cl89,zip_derived_cl2436]) ).

thf(zip_derived_cl92_009,plain,
    leq @ sk__22 @ sk__21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ax29,axiom,
    ! [U: $i] :
      ( ( ssItem @ U )
     => ! [V: $i] :
          ( ( ssItem @ V )
         => ( ( ( leq @ U @ V )
              & ( leq @ V @ U ) )
           => ( U = V ) ) ) ) ).

thf(zip_derived_cl37,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ( X1 = X0 )
      | ~ ( leq @ X0 @ X1 )
      | ~ ( leq @ X1 @ X0 )
      | ~ ( ssItem @ X1 ) ),
    inference(cnf,[status(esa)],[ax29]) ).

thf(zip_derived_cl806,plain,
    ( ~ ( ssItem @ sk__21 )
    | ~ ( leq @ sk__21 @ sk__22 )
    | ( sk__21 = sk__22 )
    | ~ ( ssItem @ sk__22 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl92,zip_derived_cl37]) ).

thf(zip_derived_cl96_010,plain,
    ssItem @ sk__21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl87_011,plain,
    ssItem @ sk__22,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl810,plain,
    ( ~ ( leq @ sk__21 @ sk__22 )
    | ( sk__21 = sk__22 ) ),
    inference(demod,[status(thm)],[zip_derived_cl806,zip_derived_cl96,zip_derived_cl87]) ).

thf(zip_derived_cl2436_012,plain,
    leq @ sk__21 @ sk__22,
    inference(simplify,[status(thm)],[zip_derived_cl2435]) ).

thf(zip_derived_cl2452,plain,
    sk__21 = sk__22,
    inference(demod,[status(thm)],[zip_derived_cl810,zip_derived_cl2436]) ).

thf(zip_derived_cl2529,plain,
    ( ~ ( leq @ sk__21 @ sk__26 )
    | ~ ( leq @ sk__26 @ sk__21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2449,zip_derived_cl2452]) ).

thf(zip_derived_cl93_013,plain,
    ( ( app @ ( app @ ( app @ ( app @ sk__23 @ ( cons @ sk__21 @ nil ) ) @ sk__24 ) @ ( cons @ sk__22 @ nil ) ) @ sk__25 )
    = sk__17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl98,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( ssItem @ X0 )
      | ~ ( ssList @ X1 )
      | ~ ( ssItem @ X2 )
      | ~ ( memberP @ X1 @ X2 )
      | ( leq @ X2 @ X0 )
      | ~ ( leq @ X0 @ X3 )
      | ( ( app @ ( app @ ( app @ ( app @ X4 @ ( cons @ X3 @ nil ) ) @ X1 ) @ ( cons @ X0 @ nil ) ) @ X5 )
       != sk__19 )
      | ~ ( ssList @ X5 )
      | ~ ( ssList @ X4 )
      | ~ ( ssItem @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl100_014,plain,
    sk__19 = sk__17,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2332,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( ssItem @ X0 )
      | ~ ( ssList @ X1 )
      | ~ ( ssItem @ X2 )
      | ~ ( memberP @ X1 @ X2 )
      | ( leq @ X2 @ X0 )
      | ~ ( leq @ X0 @ X3 )
      | ( ( app @ ( app @ ( app @ ( app @ X4 @ ( cons @ X3 @ nil ) ) @ X1 ) @ ( cons @ X0 @ nil ) ) @ X5 )
       != sk__17 )
      | ~ ( ssList @ X5 )
      | ~ ( ssList @ X4 )
      | ~ ( ssItem @ X3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl100]) ).

thf(zip_derived_cl2336,plain,
    ! [X0: $i] :
      ( ( sk__17 != sk__17 )
      | ~ ( ssItem @ sk__21 )
      | ~ ( ssList @ sk__23 )
      | ~ ( ssList @ sk__25 )
      | ~ ( leq @ sk__22 @ sk__21 )
      | ( leq @ X0 @ sk__22 )
      | ~ ( memberP @ sk__24 @ X0 )
      | ~ ( ssItem @ X0 )
      | ~ ( ssList @ sk__24 )
      | ~ ( ssItem @ sk__22 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl2332]) ).

thf(zip_derived_cl96_015,plain,
    ssItem @ sk__21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl95_016,plain,
    ssList @ sk__23,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl94_017,plain,
    ssList @ sk__25,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl92_018,plain,
    leq @ sk__22 @ sk__21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl88_019,plain,
    ssList @ sk__24,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl87_020,plain,
    ssItem @ sk__22,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2352,plain,
    ! [X0: $i] :
      ( ( sk__17 != sk__17 )
      | ( leq @ X0 @ sk__22 )
      | ~ ( memberP @ sk__24 @ X0 )
      | ~ ( ssItem @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2336,zip_derived_cl96,zip_derived_cl95,zip_derived_cl94,zip_derived_cl92,zip_derived_cl88,zip_derived_cl87]) ).

thf(zip_derived_cl2353,plain,
    ! [X0: $i] :
      ( ~ ( ssItem @ X0 )
      | ~ ( memberP @ sk__24 @ X0 )
      | ( leq @ X0 @ sk__22 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2352]) ).

thf(zip_derived_cl2452_021,plain,
    sk__21 = sk__22,
    inference(demod,[status(thm)],[zip_derived_cl810,zip_derived_cl2436]) ).

thf(zip_derived_cl2511,plain,
    ! [X0: $i] :
      ( ~ ( ssItem @ X0 )
      | ~ ( memberP @ sk__24 @ X0 )
      | ( leq @ X0 @ sk__21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2353,zip_derived_cl2452]) ).

thf(zip_derived_cl2705,plain,
    ( ~ ( leq @ sk__21 @ sk__26 )
    | ~ ( memberP @ sk__24 @ sk__26 )
    | ~ ( ssItem @ sk__26 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2529,zip_derived_cl2511]) ).

thf(zip_derived_cl90,plain,
    ( ( memberP @ sk__24 @ sk__26 )
    | ~ ( leq @ sk__21 @ sk__22 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2436_022,plain,
    leq @ sk__21 @ sk__22,
    inference(simplify,[status(thm)],[zip_derived_cl2435]) ).

thf(zip_derived_cl2450,plain,
    memberP @ sk__24 @ sk__26,
    inference(demod,[status(thm)],[zip_derived_cl90,zip_derived_cl2436]) ).

thf(zip_derived_cl91,plain,
    ( ( ssItem @ sk__26 )
    | ~ ( leq @ sk__21 @ sk__22 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2436_023,plain,
    leq @ sk__21 @ sk__22,
    inference(simplify,[status(thm)],[zip_derived_cl2435]) ).

thf(zip_derived_cl2451,plain,
    ssItem @ sk__26,
    inference(demod,[status(thm)],[zip_derived_cl91,zip_derived_cl2436]) ).

thf(zip_derived_cl2707,plain,
    ~ ( leq @ sk__21 @ sk__26 ),
    inference(demod,[status(thm)],[zip_derived_cl2705,zip_derived_cl2450,zip_derived_cl2451]) ).

thf(zip_derived_cl2717,plain,
    ( ~ ( memberP @ sk__24 @ sk__26 )
    | ~ ( ssItem @ sk__26 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2219,zip_derived_cl2707]) ).

thf(zip_derived_cl2450_024,plain,
    memberP @ sk__24 @ sk__26,
    inference(demod,[status(thm)],[zip_derived_cl90,zip_derived_cl2436]) ).

thf(zip_derived_cl2451_025,plain,
    ssItem @ sk__26,
    inference(demod,[status(thm)],[zip_derived_cl91,zip_derived_cl2436]) ).

thf(zip_derived_cl2718,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl2717,zip_derived_cl2450,zip_derived_cl2451]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SWC153+1 : TPTP v9.2.0. Released v2.4.0.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.AbB8AdoVLL true
% 0.15/0.35  % Computer : n007.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Wed Oct  1 17:06:23 EDT 2025
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in FO mode
% 0.54/0.64  % Total configuration time : 435
% 0.54/0.64  % Estimated wc time : 1092
% 0.54/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.56/1.03  % Solved by fo/fo3_bce.sh.
% 0.56/1.03  % BCE start: 104
% 0.56/1.03  % BCE eliminated: 2
% 0.56/1.03  % PE start: 102
% 0.56/1.03  logic: eq
% 0.56/1.03  % PE eliminated: 0
% 0.56/1.03  % done 320 iterations in 0.294s
% 0.56/1.03  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/1.03  % SZS output start Refutation
% See solution above
% 0.56/1.03  
% 0.56/1.03  
% 0.56/1.03  % Terminating...
% 1.61/1.09  % Runner terminated.
% 1.61/1.10  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------