TSTP Solution File: SWW101+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW101+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.tbQqzWVSTs true

% Computer : n027.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 : Fri Sep  1 01:41:03 EDT 2023

% Result   : Theorem 0.16s 0.75s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   42
% Syntax   : Number of formulae    :  119 (  34 unt;  23 typ;   0 def)
%            Number of atoms       :  202 (  77 equ;   0 cnn)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  478 ( 107   ~;  79   |;  17   &; 265   @)
%                                         (   8 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   25 (  25   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   20 (  18 usr;   7 con; 0-2 aty)
%            Number of variables   :   75 (   0   ^;  73   !;   2   ?;  75   :)

% Comments : 
%------------------------------------------------------------------------------
thf(d_type,type,
    d: $i > $o ).

thf(zip_tseitin_7_type,type,
    zip_tseitin_7: $i > $o ).

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

thf(bool_type,type,
    bool: $i > $o ).

thf(zip_tseitin_2_type,type,
    zip_tseitin_2: $i > $i > $o ).

thf(true_type,type,
    true: $i ).

thf(false_type,type,
    false: $i ).

thf(forallprefers_type,type,
    forallprefers: $i > $i > $o ).

thf(zip_tseitin_0_type,type,
    zip_tseitin_0: $i > $i > $o ).

thf(zip_tseitin_6_type,type,
    zip_tseitin_6: $i > $o ).

thf(lazy_impl_type,type,
    lazy_impl: $i > $i > $i ).

thf(err_type,type,
    err: $i ).

thf(phi_type,type,
    phi: $i > $i ).

thf(false1_type,type,
    false1: $i ).

thf(zip_tseitin_1_type,type,
    zip_tseitin_1: $i > $i > $o ).

thf(f7_type,type,
    f7: $i > $i ).

thf(prop_type,type,
    prop: $i > $i ).

thf(false2_type,type,
    false2: $i ).

thf(def_phi,axiom,
    ! [X: $i] :
      ( ( ( d @ X )
        & ( ( phi @ X )
          = X ) )
      | ( ~ ( d @ X )
        & ( ( phi @ X )
          = err ) ) ) ).

thf(zf_stmt_0,type,
    zip_tseitin_7: $i > $o ).

thf(zf_stmt_1,axiom,
    ! [X: $i] :
      ( ( zip_tseitin_7 @ X )
     => ( ( ( phi @ X )
          = err )
        & ~ ( d @ X ) ) ) ).

thf(zf_stmt_2,type,
    zip_tseitin_6: $i > $o ).

thf(zf_stmt_3,axiom,
    ! [X: $i] :
      ( ( zip_tseitin_6 @ X )
     => ( ( ( phi @ X )
          = X )
        & ( d @ X ) ) ) ).

thf(zf_stmt_4,axiom,
    ! [X: $i] :
      ( ( zip_tseitin_7 @ X )
      | ( zip_tseitin_6 @ X ) ) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_7 @ X0 )
      | ( zip_tseitin_6 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl42,plain,
    ! [X0: $i] :
      ( ~ ( d @ X0 )
      | ~ ( zip_tseitin_7 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl100,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_6 @ X0 )
      | ~ ( d @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl42]) ).

thf(zip_derived_cl39,plain,
    ! [X0: $i] :
      ( ( ( phi @ X0 )
        = X0 )
      | ~ ( zip_tseitin_6 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl103,plain,
    ! [X0: $i] :
      ( ~ ( d @ X0 )
      | ( ( phi @ X0 )
        = X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl100,zip_derived_cl39]) ).

thf(zip_derived_cl103_001,plain,
    ! [X0: $i] :
      ( ~ ( d @ X0 )
      | ( ( phi @ X0 )
        = X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl100,zip_derived_cl39]) ).

thf(def_forallprefers,axiom,
    ! [X: $i,Y: $i] :
      ( ( forallprefers @ X @ Y )
    <=> ( ( ( Y = true )
          & ( X = false ) )
        | ( ( bool @ Y )
          & ~ ( bool @ X )
          & ( d @ Y )
          & ( d @ X ) )
        | ( ( d @ Y )
          & ~ ( d @ X ) ) ) ) ).

thf(zf_stmt_5,axiom,
    ! [Y: $i,X: $i] :
      ( ( zip_tseitin_0 @ Y @ X )
    <=> ( ( X = false )
        & ( Y = true ) ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_0 @ X0 @ X1 )
      | ( X0 != true )
      | ( X1 != false ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zf_stmt_6,type,
    zip_tseitin_2: $i > $i > $o ).

thf(zf_stmt_7,axiom,
    ! [Y: $i,X: $i] :
      ( ( zip_tseitin_2 @ Y @ X )
    <=> ( ~ ( d @ X )
        & ( d @ Y ) ) ) ).

thf(zf_stmt_8,type,
    zip_tseitin_1: $i > $i > $o ).

thf(zf_stmt_9,axiom,
    ! [Y: $i,X: $i] :
      ( ( zip_tseitin_1 @ Y @ X )
    <=> ( ( d @ X )
        & ( d @ Y )
        & ~ ( bool @ X )
        & ( bool @ Y ) ) ) ).

thf(zf_stmt_10,type,
    zip_tseitin_0: $i > $i > $o ).

thf(zf_stmt_11,axiom,
    ! [X: $i,Y: $i] :
      ( ( forallprefers @ X @ Y )
    <=> ( ( zip_tseitin_2 @ Y @ X )
        | ( zip_tseitin_1 @ Y @ X )
        | ( zip_tseitin_0 @ Y @ X ) ) ) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i,X1: $i] :
      ( ( forallprefers @ X0 @ X1 )
      | ~ ( zip_tseitin_0 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_11]) ).

thf(zip_derived_cl170,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 != false )
      | ( X1 != true )
      | ( forallprefers @ X0 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl23]) ).

thf(prop_true,axiom,
    ! [X: $i] :
      ( ( ( prop @ X )
        = true )
    <=> ( bool @ X ) ) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i] :
      ( ( ( prop @ X0 )
        = true )
      | ~ ( bool @ X0 ) ),
    inference(cnf,[status(esa)],[prop_true]) ).

thf(zip_derived_cl45_002,plain,
    ! [X0: $i] :
      ( ( ( prop @ X0 )
        = true )
      | ~ ( bool @ X0 ) ),
    inference(cnf,[status(esa)],[prop_true]) ).

thf(def_false2,axiom,
    ? [P: $i] :
      ( ~ ? [P1: $i] : ( forallprefers @ ( f7 @ P1 ) @ ( f7 @ P ) )
      & ( false2
        = ( phi @ ( f7 @ P ) ) ) ) ).

thf(zip_derived_cl86,plain,
    ! [X0: $i] :
      ~ ( forallprefers @ ( f7 @ X0 ) @ ( f7 @ sk__6 ) ),
    inference(cnf,[status(esa)],[def_false2]) ).

thf(def_f7,axiom,
    ! [P: $i] :
      ( ( f7 @ P )
      = ( lazy_impl @ ( prop @ P ) @ P ) ) ).

thf(zip_derived_cl84,plain,
    ! [X0: $i] :
      ( ( f7 @ X0 )
      = ( lazy_impl @ ( prop @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[def_f7]) ).

thf(zip_derived_cl84_003,plain,
    ! [X0: $i] :
      ( ( f7 @ X0 )
      = ( lazy_impl @ ( prop @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[def_f7]) ).

thf(zip_derived_cl97,plain,
    ! [X0: $i] :
      ~ ( forallprefers @ ( lazy_impl @ ( prop @ X0 ) @ X0 ) @ ( lazy_impl @ ( prop @ sk__6 ) @ sk__6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl86,zip_derived_cl84,zip_derived_cl84]) ).

thf(zip_derived_cl111,plain,
    ! [X0: $i] :
      ( ~ ( forallprefers @ ( lazy_impl @ true @ X0 ) @ ( lazy_impl @ ( prop @ sk__6 ) @ sk__6 ) )
      | ~ ( bool @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl97]) ).

thf(lazy_impl_axiom3,axiom,
    ! [B: $i] :
      ( ( lazy_impl @ true @ B )
      = ( phi @ B ) ) ).

thf(zip_derived_cl54,plain,
    ! [X0: $i] :
      ( ( lazy_impl @ true @ X0 )
      = ( phi @ X0 ) ),
    inference(cnf,[status(esa)],[lazy_impl_axiom3]) ).

thf(zip_derived_cl116,plain,
    ! [X0: $i] :
      ( ~ ( forallprefers @ ( phi @ X0 ) @ ( lazy_impl @ ( prop @ sk__6 ) @ sk__6 ) )
      | ~ ( bool @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl111,zip_derived_cl54]) ).

thf(zip_derived_cl149,plain,
    ! [X0: $i] :
      ( ~ ( forallprefers @ ( phi @ X0 ) @ ( lazy_impl @ true @ sk__6 ) )
      | ~ ( bool @ sk__6 )
      | ~ ( bool @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl116]) ).

thf(zip_derived_cl54_004,plain,
    ! [X0: $i] :
      ( ( lazy_impl @ true @ X0 )
      = ( phi @ X0 ) ),
    inference(cnf,[status(esa)],[lazy_impl_axiom3]) ).

thf(zip_derived_cl152,plain,
    ! [X0: $i] :
      ( ~ ( forallprefers @ ( phi @ X0 ) @ ( phi @ sk__6 ) )
      | ~ ( bool @ sk__6 )
      | ~ ( bool @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl149,zip_derived_cl54]) ).

thf(zip_derived_cl170_005,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 != false )
      | ( X1 != true )
      | ( forallprefers @ X0 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl23]) ).

thf(prop_false,axiom,
    ! [X: $i] :
      ( ( ( prop @ X )
        = false )
    <=> ~ ( bool @ X ) ) ).

thf(zip_derived_cl47,plain,
    ! [X0: $i] :
      ( ( ( prop @ X0 )
        = false )
      | ( bool @ X0 ) ),
    inference(cnf,[status(esa)],[prop_false]) ).

thf(zip_derived_cl103_006,plain,
    ! [X0: $i] :
      ( ~ ( d @ X0 )
      | ( ( phi @ X0 )
        = X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl100,zip_derived_cl39]) ).

thf(zip_derived_cl116_007,plain,
    ! [X0: $i] :
      ( ~ ( forallprefers @ ( phi @ X0 ) @ ( lazy_impl @ ( prop @ sk__6 ) @ sk__6 ) )
      | ~ ( bool @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl111,zip_derived_cl54]) ).

thf(zip_derived_cl151,plain,
    ! [X0: $i] :
      ( ~ ( forallprefers @ X0 @ ( lazy_impl @ ( prop @ sk__6 ) @ sk__6 ) )
      | ~ ( d @ X0 )
      | ~ ( bool @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl103,zip_derived_cl116]) ).

thf(zip_derived_cl155,plain,
    ! [X0: $i] :
      ( ~ ( forallprefers @ X0 @ ( lazy_impl @ false @ sk__6 ) )
      | ( bool @ sk__6 )
      | ~ ( bool @ X0 )
      | ~ ( d @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl151]) ).

thf(lazy_impl_axiom2,axiom,
    ! [B: $i] :
      ( ( lazy_impl @ false @ B )
      = true ) ).

thf(zip_derived_cl53,plain,
    ! [X0: $i] :
      ( ( lazy_impl @ false @ X0 )
      = true ),
    inference(cnf,[status(esa)],[lazy_impl_axiom2]) ).

thf(zip_derived_cl157,plain,
    ! [X0: $i] :
      ( ~ ( forallprefers @ X0 @ true )
      | ( bool @ sk__6 )
      | ~ ( bool @ X0 )
      | ~ ( d @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl155,zip_derived_cl53]) ).

thf(zip_derived_cl229,plain,
    ! [X0: $i] :
      ( ( true != true )
      | ( X0 != false )
      | ~ ( d @ X0 )
      | ~ ( bool @ X0 )
      | ( bool @ sk__6 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl170,zip_derived_cl157]) ).

thf(zip_derived_cl242,plain,
    ! [X0: $i] :
      ( ( bool @ sk__6 )
      | ~ ( bool @ X0 )
      | ~ ( d @ X0 )
      | ( X0 != false ) ),
    inference(simplify,[status(thm)],[zip_derived_cl229]) ).

thf(def_bool,axiom,
    ! [X: $i] :
      ( ( bool @ X )
    <=> ( ( X = false )
        | ( X = true ) ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i] :
      ( ( bool @ X0 )
      | ( X0 != false ) ),
    inference(cnf,[status(esa)],[def_bool]) ).

thf(zip_derived_cl253,plain,
    ! [X0: $i] :
      ( ( X0 != false )
      | ~ ( d @ X0 )
      | ( bool @ sk__6 ) ),
    inference(clc,[status(thm)],[zip_derived_cl242,zip_derived_cl1]) ).

thf(zip_derived_cl255,plain,
    ( ( bool @ sk__6 )
    | ~ ( d @ false ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl253]) ).

thf(false_true_err_in_d,axiom,
    ( ( d @ err )
    & ( d @ false )
    & ( d @ true ) ) ).

thf(zip_derived_cl7,plain,
    d @ false,
    inference(cnf,[status(esa)],[false_true_err_in_d]) ).

thf(zip_derived_cl256,plain,
    bool @ sk__6,
    inference(demod,[status(thm)],[zip_derived_cl255,zip_derived_cl7]) ).

thf(zip_derived_cl260,plain,
    ! [X0: $i] :
      ( ~ ( forallprefers @ ( phi @ X0 ) @ ( phi @ sk__6 ) )
      | ~ ( bool @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl152,zip_derived_cl256]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i] :
      ( ( X0 = true )
      | ( X0 = false )
      | ~ ( bool @ X0 ) ),
    inference(cnf,[status(esa)],[def_bool]) ).

thf(zip_derived_cl256_008,plain,
    bool @ sk__6,
    inference(demod,[status(thm)],[zip_derived_cl255,zip_derived_cl7]) ).

thf(zip_derived_cl265,plain,
    ( ( sk__6 = false )
    | ( sk__6 = true ) ),
    inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl256]) ).

thf(zip_derived_cl103_009,plain,
    ! [X0: $i] :
      ( ~ ( d @ X0 )
      | ( ( phi @ X0 )
        = X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl100,zip_derived_cl39]) ).

thf(zip_derived_cl45_010,plain,
    ! [X0: $i] :
      ( ( ( prop @ X0 )
        = true )
      | ~ ( bool @ X0 ) ),
    inference(cnf,[status(esa)],[prop_true]) ).

thf(zip_derived_cl103_011,plain,
    ! [X0: $i] :
      ( ~ ( d @ X0 )
      | ( ( phi @ X0 )
        = X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl100,zip_derived_cl39]) ).

thf(false1_false2,conjecture,
    false1 = false2 ).

thf(zf_stmt_12,negated_conjecture,
    false1 != false2,
    inference('cnf.neg',[status(esa)],[false1_false2]) ).

thf(zip_derived_cl91,plain,
    false1 != false2,
    inference(cnf,[status(esa)],[zf_stmt_12]) ).

thf(def_false1,axiom,
    false1 = false ).

thf(zip_derived_cl83,plain,
    false1 = false,
    inference(cnf,[status(esa)],[def_false1]) ).

thf(zip_derived_cl94,plain,
    false != false2,
    inference(demod,[status(thm)],[zip_derived_cl91,zip_derived_cl83]) ).

thf(zip_derived_cl85,plain,
    ( false2
    = ( phi @ ( f7 @ sk__6 ) ) ),
    inference(cnf,[status(esa)],[def_false2]) ).

thf(zip_derived_cl95,plain,
    ( false
   != ( phi @ ( f7 @ sk__6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl94,zip_derived_cl85]) ).

thf(zip_derived_cl84_012,plain,
    ! [X0: $i] :
      ( ( f7 @ X0 )
      = ( lazy_impl @ ( prop @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[def_f7]) ).

thf(zip_derived_cl98,plain,
    ( false
   != ( phi @ ( lazy_impl @ ( prop @ sk__6 ) @ sk__6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl95,zip_derived_cl84]) ).

thf(zip_derived_cl107,plain,
    ( ( false
     != ( lazy_impl @ ( prop @ sk__6 ) @ sk__6 ) )
    | ~ ( d @ ( lazy_impl @ ( prop @ sk__6 ) @ sk__6 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl103,zip_derived_cl98]) ).

thf(zip_derived_cl108,plain,
    ( ( false
     != ( lazy_impl @ ( prop @ sk__6 ) @ sk__6 ) )
    | ~ ( d @ false ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl107]) ).

thf(zip_derived_cl7_013,plain,
    d @ false,
    inference(cnf,[status(esa)],[false_true_err_in_d]) ).

thf(zip_derived_cl120,plain,
    ( false
   != ( lazy_impl @ ( prop @ sk__6 ) @ sk__6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl108,zip_derived_cl7]) ).

thf(zip_derived_cl121,plain,
    ( ( false
     != ( lazy_impl @ true @ sk__6 ) )
    | ~ ( bool @ sk__6 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl120]) ).

thf(zip_derived_cl54_014,plain,
    ! [X0: $i] :
      ( ( lazy_impl @ true @ X0 )
      = ( phi @ X0 ) ),
    inference(cnf,[status(esa)],[lazy_impl_axiom3]) ).

thf(zip_derived_cl122,plain,
    ( ( false
     != ( phi @ sk__6 ) )
    | ~ ( bool @ sk__6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl54]) ).

thf(zip_derived_cl123,plain,
    ( ( false != sk__6 )
    | ~ ( d @ sk__6 )
    | ~ ( bool @ sk__6 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl103,zip_derived_cl122]) ).

thf(zip_derived_cl124,plain,
    ( ( false != sk__6 )
    | ~ ( d @ false )
    | ~ ( bool @ false ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl123]) ).

thf(zip_derived_cl7_015,plain,
    d @ false,
    inference(cnf,[status(esa)],[false_true_err_in_d]) ).

thf(zip_derived_cl1_016,plain,
    ! [X0: $i] :
      ( ( bool @ X0 )
      | ( X0 != false ) ),
    inference(cnf,[status(esa)],[def_bool]) ).

thf(zip_derived_cl92,plain,
    bool @ false,
    inference(eq_res,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl125,plain,
    false != sk__6,
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl7,zip_derived_cl92]) ).

thf(zip_derived_cl266,plain,
    sk__6 = true,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl265,zip_derived_cl125]) ).

thf(zip_derived_cl367,plain,
    ! [X0: $i] :
      ( ~ ( forallprefers @ ( phi @ X0 ) @ ( phi @ true ) )
      | ~ ( bool @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl260,zip_derived_cl266]) ).

thf(zip_derived_cl368,plain,
    ! [X0: $i] :
      ( ( ( phi @ true )
       != true )
      | ( ( phi @ X0 )
       != false )
      | ~ ( bool @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl170,zip_derived_cl367]) ).

thf(zip_derived_cl375,plain,
    ! [X0: $i] :
      ( ( true != true )
      | ~ ( d @ true )
      | ~ ( bool @ X0 )
      | ( ( phi @ X0 )
       != false ) ),
    inference('sup-',[status(thm)],[zip_derived_cl103,zip_derived_cl368]) ).

thf(zip_derived_cl8,plain,
    d @ true,
    inference(cnf,[status(esa)],[false_true_err_in_d]) ).

thf(zip_derived_cl377,plain,
    ! [X0: $i] :
      ( ( true != true )
      | ~ ( bool @ X0 )
      | ( ( phi @ X0 )
       != false ) ),
    inference(demod,[status(thm)],[zip_derived_cl375,zip_derived_cl8]) ).

thf(zip_derived_cl378,plain,
    ! [X0: $i] :
      ( ( ( phi @ X0 )
       != false )
      | ~ ( bool @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl377]) ).

thf(zip_derived_cl379,plain,
    ! [X0: $i] :
      ( ( X0 != false )
      | ~ ( d @ X0 )
      | ~ ( bool @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl103,zip_derived_cl378]) ).

thf(zip_derived_cl1_017,plain,
    ! [X0: $i] :
      ( ( bool @ X0 )
      | ( X0 != false ) ),
    inference(cnf,[status(esa)],[def_bool]) ).

thf(zip_derived_cl382,plain,
    ! [X0: $i] :
      ( ~ ( d @ X0 )
      | ( X0 != false ) ),
    inference(clc,[status(thm)],[zip_derived_cl379,zip_derived_cl1]) ).

thf(zip_derived_cl384,plain,
    ~ ( d @ false ),
    inference(eq_res,[status(thm)],[zip_derived_cl382]) ).

thf(zip_derived_cl7_018,plain,
    d @ false,
    inference(cnf,[status(esa)],[false_true_err_in_d]) ).

thf(zip_derived_cl385,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl384,zip_derived_cl7]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SWW101+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.11  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.tbQqzWVSTs true
% 0.09/0.31  % Computer : n027.cluster.edu
% 0.09/0.31  % Model    : x86_64 x86_64
% 0.09/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31  % Memory   : 8042.1875MB
% 0.09/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31  % CPULimit : 300
% 0.09/0.31  % WCLimit  : 300
% 0.09/0.31  % DateTime : Sun Aug 27 20:05:36 EDT 2023
% 0.09/0.31  % CPUTime  : 
% 0.09/0.31  % Running portfolio for 300 s
% 0.09/0.31  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.31  % Number of cores: 8
% 0.09/0.31  % Python version: Python 3.6.8
% 0.09/0.31  % Running in FO mode
% 0.16/0.52  % Total configuration time : 435
% 0.16/0.52  % Estimated wc time : 1092
% 0.16/0.52  % Estimated cpu time (7 cpus) : 156.0
% 0.16/0.61  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.16/0.64  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.16/0.64  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.16/0.64  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.16/0.64  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.16/0.65  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.16/0.65  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.16/0.68  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.16/0.75  % Solved by fo/fo7.sh.
% 0.16/0.75  % done 147 iterations in 0.082s
% 0.16/0.75  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.16/0.75  % SZS output start Refutation
% See solution above
% 0.16/0.75  
% 0.16/0.75  
% 0.16/0.75  % Terminating...
% 0.16/0.86  % Runner terminated.
% 0.16/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------