TSTP Solution File: SWC149+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC149+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.o4rvCYG7wJ true

% Computer : n005.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 21:29:30 EDT 2023

% Result   : Theorem 1.39s 0.84s
% Output   : Refutation 1.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   79 (  14 unt;  11 typ;   0 def)
%            Number of atoms       :  262 (  90 equ;   0 cnn)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  753 ( 161   ~; 164   |;   9   &; 398   @)
%                                         (   2 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   4 con; 0-2 aty)
%            Number of variables   :  102 (   0   ^;  93   !;   9   ?; 102   :)

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

thf(sk__6_type,type,
    sk__6: $i ).

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

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

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

thf(sk__3_type,type,
    sk__3: $i > $i ).

thf(sk__4_type,type,
    sk__4: $i > $i ).

thf(neq_type,type,
    neq: $i > $i > $o ).

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

thf(sk__8_type,type,
    sk__8: $i ).

thf(singletonP_type,type,
    singletonP: $i > $o ).

thf(co1,conjecture,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ! [X: $i] :
                  ( ( ssList @ X )
                 => ( ( V != X )
                    | ( U != W )
                    | ~ ( neq @ V @ nil )
                    | ? [Y: $i] :
                        ( ? [Z: $i] :
                            ( ? [X1: $i] :
                                ( ( ( app @ ( app @ ( cons @ Y @ nil ) @ ( cons @ Z @ nil ) ) @ X1 )
                                  = X )
                                & ( ssList @ X1 ) )
                            & ( ssItem @ Z ) )
                        & ( ssItem @ Y ) )
                    | ( singletonP @ V ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [U: $i] :
        ( ( ssList @ U )
       => ! [V: $i] :
            ( ( ssList @ V )
           => ! [W: $i] :
                ( ( ssList @ W )
               => ! [X: $i] :
                    ( ( ssList @ X )
                   => ( ( V != X )
                      | ( U != W )
                      | ~ ( neq @ V @ nil )
                      | ? [Y: $i] :
                          ( ? [Z: $i] :
                              ( ? [X1: $i] :
                                  ( ( ( app @ ( app @ ( cons @ Y @ nil ) @ ( cons @ Z @ nil ) ) @ X1 )
                                    = X )
                                  & ( ssList @ X1 ) )
                              & ( ssItem @ Z ) )
                          & ( ssItem @ Y ) )
                      | ( singletonP @ V ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl38,plain,
    ssList @ sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl37,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl199,plain,
    ssList @ sk__6,
    inference(demod,[status(thm)],[zip_derived_cl38,zip_derived_cl37]) ).

thf(ax20,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( ( nil = U )
        | ? [V: $i] :
            ( ? [W: $i] :
                ( ( ( cons @ W @ V )
                  = U )
                & ( ssItem @ W ) )
            & ( ssList @ V ) ) ) ) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i] :
      ( ( ( cons @ ( sk__4 @ X0 ) @ ( sk__3 @ X0 ) )
        = X0 )
      | ( nil = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax20]) ).

thf(ax16,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssItem @ V )
         => ( ssList @ ( cons @ V @ U ) ) ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ssList @ ( cons @ X0 @ X1 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax16]) ).

thf(ax81,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssItem @ V )
         => ( ( cons @ V @ U )
            = ( app @ ( cons @ V @ nil ) @ U ) ) ) ) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ( cons @ X0 @ X1 )
        = ( app @ ( cons @ X0 @ nil ) @ X1 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax81]) ).

thf(zip_derived_cl10_001,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ssList @ ( cons @ X0 @ X1 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax16]) ).

thf(zip_derived_cl16_002,plain,
    ! [X0: $i] :
      ( ( ( cons @ ( sk__4 @ X0 ) @ ( sk__3 @ X0 ) )
        = X0 )
      | ( nil = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax20]) ).

thf(zip_derived_cl25_003,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ( cons @ X0 @ X1 )
        = ( app @ ( cons @ X0 @ nil ) @ X1 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax81]) ).

thf(ax82,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ( ( app @ ( app @ U @ V ) @ W )
                = ( app @ U @ ( app @ V @ W ) ) ) ) ) ) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ( ( app @ ( app @ X1 @ X0 ) @ X2 )
        = ( app @ X1 @ ( app @ X0 @ X2 ) ) )
      | ~ ( ssList @ X2 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax82]) ).

thf(zip_derived_cl36,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ( app @ ( app @ ( cons @ X1 @ nil ) @ ( cons @ X0 @ nil ) ) @ X2 )
       != sk__8 )
      | ~ ( ssList @ X2 )
      | ~ ( ssItem @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl37_004,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl367,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ( app @ ( app @ ( cons @ X1 @ nil ) @ ( cons @ X0 @ nil ) ) @ X2 )
       != sk__6 )
      | ~ ( ssList @ X2 )
      | ~ ( ssItem @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl36,zip_derived_cl37]) ).

thf(zip_derived_cl400,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( app @ ( cons @ X2 @ nil ) @ ( app @ ( cons @ X1 @ nil ) @ X0 ) )
       != sk__6 )
      | ~ ( ssList @ ( cons @ X2 @ nil ) )
      | ~ ( ssList @ X0 )
      | ~ ( ssList @ ( cons @ X1 @ nil ) )
      | ~ ( ssItem @ X2 )
      | ~ ( ssList @ X0 )
      | ~ ( ssItem @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl367]) ).

thf(zip_derived_cl428,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssItem @ X1 )
      | ~ ( ssItem @ X2 )
      | ~ ( ssList @ ( cons @ X1 @ nil ) )
      | ~ ( ssList @ X0 )
      | ~ ( ssList @ ( cons @ X2 @ nil ) )
      | ( ( app @ ( cons @ X2 @ nil ) @ ( app @ ( cons @ X1 @ nil ) @ X0 ) )
       != sk__6 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl400]) ).

thf(zip_derived_cl461,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( app @ ( cons @ X2 @ nil ) @ ( cons @ X1 @ X0 ) )
       != sk__6 )
      | ~ ( ssList @ X0 )
      | ~ ( ssItem @ X1 )
      | ~ ( ssList @ ( cons @ X2 @ nil ) )
      | ~ ( ssList @ X0 )
      | ~ ( ssList @ ( cons @ X1 @ nil ) )
      | ~ ( ssItem @ X2 )
      | ~ ( ssItem @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl428]) ).

thf(zip_derived_cl469,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssItem @ X2 )
      | ~ ( ssList @ ( cons @ X1 @ nil ) )
      | ~ ( ssList @ ( cons @ X2 @ nil ) )
      | ~ ( ssItem @ X1 )
      | ~ ( ssList @ X0 )
      | ( ( app @ ( cons @ X2 @ nil ) @ ( cons @ X1 @ X0 ) )
       != sk__6 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl461]) ).

thf(zip_derived_cl475,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( app @ ( cons @ X1 @ nil ) @ X0 )
       != sk__6 )
      | ~ ( ssList @ X0 )
      | ( nil = X0 )
      | ~ ( ssList @ ( sk__3 @ X0 ) )
      | ~ ( ssItem @ ( sk__4 @ X0 ) )
      | ~ ( ssList @ ( cons @ X1 @ nil ) )
      | ~ ( ssList @ ( cons @ ( sk__4 @ X0 ) @ nil ) )
      | ~ ( ssItem @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl469]) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i] :
      ( ( ssList @ ( sk__3 @ X0 ) )
      | ( nil = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax20]) ).

thf(zip_derived_cl512,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X1 )
      | ~ ( ssList @ ( cons @ ( sk__4 @ X0 ) @ nil ) )
      | ~ ( ssList @ ( cons @ X1 @ nil ) )
      | ~ ( ssItem @ ( sk__4 @ X0 ) )
      | ( nil = X0 )
      | ~ ( ssList @ X0 )
      | ( ( app @ ( cons @ X1 @ nil ) @ X0 )
       != sk__6 ) ),
    inference(clc,[status(thm)],[zip_derived_cl475,zip_derived_cl17]) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i] :
      ( ( ssItem @ ( sk__4 @ X0 ) )
      | ( nil = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax20]) ).

thf(zip_derived_cl513,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( app @ ( cons @ X1 @ nil ) @ X0 )
       != sk__6 )
      | ~ ( ssList @ X0 )
      | ( nil = X0 )
      | ~ ( ssList @ ( cons @ X1 @ nil ) )
      | ~ ( ssList @ ( cons @ ( sk__4 @ X0 ) @ nil ) )
      | ~ ( ssItem @ X1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl512,zip_derived_cl15]) ).

thf(zip_derived_cl514,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ nil )
      | ~ ( ssItem @ ( sk__4 @ X0 ) )
      | ~ ( ssItem @ X1 )
      | ~ ( ssList @ ( cons @ X1 @ nil ) )
      | ( nil = X0 )
      | ~ ( ssList @ X0 )
      | ( ( app @ ( cons @ X1 @ nil ) @ X0 )
       != sk__6 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl513]) ).

thf(ax17,axiom,
    ssList @ nil ).

thf(zip_derived_cl11,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl515,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ ( sk__4 @ X0 ) )
      | ~ ( ssItem @ X1 )
      | ~ ( ssList @ ( cons @ X1 @ nil ) )
      | ( nil = X0 )
      | ~ ( ssList @ X0 )
      | ( ( app @ ( cons @ X1 @ nil ) @ X0 )
       != sk__6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl514,zip_derived_cl11]) ).

thf(zip_derived_cl15_005,plain,
    ! [X0: $i] :
      ( ( ssItem @ ( sk__4 @ X0 ) )
      | ( nil = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax20]) ).

thf(zip_derived_cl516,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( app @ ( cons @ X1 @ nil ) @ X0 )
       != sk__6 )
      | ~ ( ssList @ X0 )
      | ( nil = X0 )
      | ~ ( ssList @ ( cons @ X1 @ nil ) )
      | ~ ( ssItem @ X1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl515,zip_derived_cl15]) ).

thf(zip_derived_cl519,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( cons @ X1 @ X0 )
       != sk__6 )
      | ~ ( ssList @ X0 )
      | ~ ( ssItem @ X1 )
      | ~ ( ssItem @ X1 )
      | ~ ( ssList @ ( cons @ X1 @ nil ) )
      | ( nil = X0 )
      | ~ ( ssList @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl516]) ).

thf(zip_derived_cl524,plain,
    ! [X0: $i,X1: $i] :
      ( ( nil = X0 )
      | ~ ( ssList @ ( cons @ X1 @ nil ) )
      | ~ ( ssItem @ X1 )
      | ~ ( ssList @ X0 )
      | ( ( cons @ X1 @ X0 )
       != sk__6 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl519]) ).

thf(zip_derived_cl549,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ nil )
      | ~ ( ssItem @ X0 )
      | ( ( cons @ X0 @ X1 )
       != sk__6 )
      | ~ ( ssList @ X1 )
      | ~ ( ssItem @ X0 )
      | ( nil = X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl524]) ).

thf(zip_derived_cl11_006,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl550,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ( cons @ X0 @ X1 )
       != sk__6 )
      | ~ ( ssList @ X1 )
      | ~ ( ssItem @ X0 )
      | ( nil = X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl549,zip_derived_cl11]) ).

thf(zip_derived_cl551,plain,
    ! [X0: $i,X1: $i] :
      ( ( nil = X1 )
      | ~ ( ssList @ X1 )
      | ( ( cons @ X0 @ X1 )
       != sk__6 )
      | ~ ( ssItem @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl550]) ).

thf(zip_derived_cl554,plain,
    ! [X0: $i] :
      ( ( X0 != sk__6 )
      | ~ ( ssList @ X0 )
      | ( nil = X0 )
      | ~ ( ssItem @ ( sk__4 @ X0 ) )
      | ~ ( ssList @ ( sk__3 @ X0 ) )
      | ( nil
        = ( sk__3 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl551]) ).

thf(zip_derived_cl15_007,plain,
    ! [X0: $i] :
      ( ( ssItem @ ( sk__4 @ X0 ) )
      | ( nil = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax20]) ).

thf(zip_derived_cl565,plain,
    ! [X0: $i] :
      ( ( nil
        = ( sk__3 @ X0 ) )
      | ~ ( ssList @ ( sk__3 @ X0 ) )
      | ( nil = X0 )
      | ~ ( ssList @ X0 )
      | ( X0 != sk__6 ) ),
    inference(clc,[status(thm)],[zip_derived_cl554,zip_derived_cl15]) ).

thf(zip_derived_cl17_008,plain,
    ! [X0: $i] :
      ( ( ssList @ ( sk__3 @ X0 ) )
      | ( nil = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax20]) ).

thf(zip_derived_cl566,plain,
    ! [X0: $i] :
      ( ( X0 != sk__6 )
      | ~ ( ssList @ X0 )
      | ( nil = X0 )
      | ( nil
        = ( sk__3 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl565,zip_derived_cl17]) ).

thf(zip_derived_cl16_009,plain,
    ! [X0: $i] :
      ( ( ( cons @ ( sk__4 @ X0 ) @ ( sk__3 @ X0 ) )
        = X0 )
      | ( nil = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax20]) ).

thf(zip_derived_cl567,plain,
    ! [X0: $i] :
      ( ( ( cons @ ( sk__4 @ X0 ) @ nil )
        = X0 )
      | ( nil = X0 )
      | ~ ( ssList @ X0 )
      | ( X0 != sk__6 )
      | ~ ( ssList @ X0 )
      | ( nil = X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl566,zip_derived_cl16]) ).

thf(zip_derived_cl570,plain,
    ! [X0: $i] :
      ( ( X0 != sk__6 )
      | ~ ( ssList @ X0 )
      | ( nil = X0 )
      | ( ( cons @ ( sk__4 @ X0 ) @ nil )
        = X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl567]) ).

thf(ax4,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( ( singletonP @ U )
      <=> ? [V: $i] :
            ( ( ( cons @ V @ nil )
              = U )
            & ( ssItem @ V ) ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( cons @ X1 @ nil )
       != X0 )
      | ~ ( ssItem @ X1 )
      | ( singletonP @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax4]) ).

thf(zip_derived_cl33,plain,
    ~ ( singletonP @ sk__6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl197,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ sk__6 )
      | ~ ( ssItem @ X0 )
      | ( ( cons @ X0 @ nil )
       != sk__6 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl33]) ).

thf(zip_derived_cl199_010,plain,
    ssList @ sk__6,
    inference(demod,[status(thm)],[zip_derived_cl38,zip_derived_cl37]) ).

thf(zip_derived_cl204,plain,
    ! [X0: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ( cons @ X0 @ nil )
       != sk__6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl197,zip_derived_cl199]) ).

thf(zip_derived_cl610,plain,
    ! [X0: $i] :
      ( ( X0 != sk__6 )
      | ( nil = X0 )
      | ~ ( ssList @ X0 )
      | ( X0 != sk__6 )
      | ~ ( ssItem @ ( sk__4 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl570,zip_derived_cl204]) ).

thf(zip_derived_cl629,plain,
    ! [X0: $i] :
      ( ~ ( ssItem @ ( sk__4 @ X0 ) )
      | ~ ( ssList @ X0 )
      | ( nil = X0 )
      | ( X0 != sk__6 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl610]) ).

thf(zip_derived_cl15_011,plain,
    ! [X0: $i] :
      ( ( ssItem @ ( sk__4 @ X0 ) )
      | ( nil = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax20]) ).

thf(zip_derived_cl630,plain,
    ! [X0: $i] :
      ( ( X0 != sk__6 )
      | ( nil = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl629,zip_derived_cl15]) ).

thf(zip_derived_cl644,plain,
    ( ( nil = sk__6 )
    | ( sk__6 != sk__6 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl199,zip_derived_cl630]) ).

thf(zip_derived_cl649,plain,
    nil = sk__6,
    inference(simplify,[status(thm)],[zip_derived_cl644]) ).

thf(zip_derived_cl34,plain,
    neq @ sk__6 @ nil,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ax15,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ( ( neq @ U @ V )
          <=> ( U != V ) ) ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( neq @ X1 @ X0 )
      | ( X1 != X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl193,plain,
    ( ~ ( ssList @ sk__6 )
    | ( sk__6 != nil )
    | ~ ( ssList @ nil ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl34,zip_derived_cl8]) ).

thf(zip_derived_cl202,plain,
    ( ( sk__6 != nil )
    | ~ ( ssList @ nil ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl193]) ).

thf(zip_derived_cl11_012,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl203,plain,
    sk__6 != nil,
    inference(demod,[status(thm)],[zip_derived_cl202,zip_derived_cl11]) ).

thf(zip_derived_cl650,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl649,zip_derived_cl203]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWC149+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.o4rvCYG7wJ true
% 0.13/0.34  % Computer : n005.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Aug 28 16:53:38 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.19/0.35  % Python version: Python 3.6.8
% 0.19/0.35  % Running in FO mode
% 0.21/0.63  % Total configuration time : 435
% 0.21/0.63  % Estimated wc time : 1092
% 0.21/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.28/0.79  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.39/0.84  % Solved by fo/fo3_bce.sh.
% 1.39/0.84  % BCE start: 40
% 1.39/0.84  % BCE eliminated: 2
% 1.39/0.84  % PE start: 38
% 1.39/0.84  logic: eq
% 1.39/0.84  % PE eliminated: 2
% 1.39/0.84  % done 85 iterations in 0.073s
% 1.39/0.84  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.39/0.84  % SZS output start Refutation
% See solution above
% 1.39/0.84  
% 1.39/0.84  
% 1.39/0.84  % Terminating...
% 1.45/0.94  % Runner terminated.
% 1.45/0.95  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------