TSTP Solution File: SYO607+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO607+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.fmvAJqSj6Q true

% Computer : n032.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 05:52:17 EDT 2023

% Result   : Theorem 0.16s 0.64s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   83 (  11 unt;  12 typ;   0 def)
%            Number of atoms       :  284 (   0 equ;   0 cnn)
%            Maximal formula atoms :   13 (   4 avg)
%            Number of connectives :  926 (  96   ~; 161   |;  22   &; 617   @)
%                                         (   2 <=>;   0  =>;  28  <=;   0 <~>)
%            Maximal formula depth :   16 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   13 (  13   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  12 usr;   5 con; 0-2 aty)
%            Number of variables   :  219 (   0   ^; 195   !;  24   ?; 219   :)

% Comments : 
%------------------------------------------------------------------------------
thf(g_both_type,type,
    g_both: $i > $i > $o ).

thf(g_false_type,type,
    g_false: $i > $i > $o ).

thf(a_type,type,
    a: $i ).

thf(g_true_type,type,
    g_true: $i > $i > $o ).

thf(sk__type,type,
    sk_: $i ).

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

thf(g_false_only_type,type,
    g_false_only: $i > $i > $o ).

thf(sk__2_type,type,
    sk__2: $i ).

thf(sk__5_type,type,
    sk__5: $i > $i ).

thf(sk__1_type,type,
    sk__1: $i > $i ).

thf(g_true_only_type,type,
    g_true_only: $i > $i > $o ).

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

thf(exhaustion_g,axiom,
    ! [X_2: $i,X_1: $i] :
      ( ( g_false_only @ X_2 @ X_1 )
      | ( g_both @ X_2 @ X_1 )
      | ( g_true_only @ X_2 @ X_1 ) ) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i] :
      ( ( g_false_only @ X0 @ X1 )
      | ( g_both @ X0 @ X1 )
      | ( g_true_only @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[exhaustion_g]) ).

thf(nc6,conjecture,
    ( ( ~ ? [A: $i] :
          ! [B: $i] : ( g_true_only @ A @ B )
      & ? [A: $i] :
          ( ~ ? [B: $i] : ( g_false_only @ A @ B )
          & ? [B: $i] : ( g_both @ A @ B ) )
      & ~ ? [A: $i] :
            ( ? [B: $i] : ( g_false_only @ A @ B )
            & ( g_false_only @ a @ A ) )
      & ? [A: $i] :
          ( ~ ! [B: $i] : ( g_true_only @ A @ B )
          & ~ ( g_true_only @ a @ A )
          & ( ( ~ ? [B: $i] : ( g_false_only @ A @ B )
              & ? [B: $i] : ( g_both @ A @ B ) )
            | ( g_both @ a @ A ) ) ) )
    | ? [A: $i] :
      ! [B: $i] : ( g_true_only @ A @ B )
    | ? [A: $i] :
        ( ? [B: $i] : ( g_false_only @ A @ B )
        & ( g_false_only @ a @ A ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ~ ? [A: $i] :
            ! [B: $i] : ( g_true_only @ A @ B )
        & ? [A: $i] :
            ( ~ ? [B: $i] : ( g_false_only @ A @ B )
            & ? [B: $i] : ( g_both @ A @ B ) )
        & ~ ? [A: $i] :
              ( ? [B: $i] : ( g_false_only @ A @ B )
              & ( g_false_only @ a @ A ) )
        & ? [A: $i] :
            ( ~ ! [B: $i] : ( g_true_only @ A @ B )
            & ~ ( g_true_only @ a @ A )
            & ( ( ~ ? [B: $i] : ( g_false_only @ A @ B )
                & ? [B: $i] : ( g_both @ A @ B ) )
              | ( g_both @ a @ A ) ) ) )
      | ? [A: $i] :
        ! [B: $i] : ( g_true_only @ A @ B )
      | ? [A: $i] :
          ( ? [B: $i] : ( g_false_only @ A @ B )
          & ( g_false_only @ a @ A ) ) ),
    inference('cnf.neg',[status(esa)],[nc6]) ).

thf(zip_derived_cl3,plain,
    ! [X3: $i,X4: $i,X5: $i,X6: $i,X8: $i] :
      ( ( g_true_only @ sk_ @ X3 )
      | ~ ( g_both @ X4 @ X5 )
      | ( g_false_only @ X4 @ ( sk__1 @ X4 ) )
      | ( g_false_only @ a @ sk__2 )
      | ~ ( g_both @ a @ X6 )
      | ( g_true_only @ a @ X6 )
      | ( g_true_only @ X6 @ X8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl20,plain,
    ( ! [X6: $i,X8: $i] :
        ( ( g_true_only @ a @ X6 )
        | ( g_true_only @ X6 @ X8 )
        | ~ ( g_both @ a @ X6 ) )
   <= ! [X6: $i,X8: $i] :
        ( ( g_true_only @ a @ X6 )
        | ( g_true_only @ X6 @ X8 )
        | ~ ( g_both @ a @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl67,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( g_true_only @ a @ X0 )
        | ( g_false_only @ a @ X0 )
        | ( g_true_only @ a @ X0 )
        | ( g_true_only @ X0 @ X1 ) )
   <= ! [X6: $i,X8: $i] :
        ( ( g_true_only @ a @ X6 )
        | ( g_true_only @ X6 @ X8 )
        | ~ ( g_both @ a @ X6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl20]) ).

thf(zip_derived_cl70,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( g_true_only @ X0 @ X1 )
        | ( g_false_only @ a @ X0 )
        | ( g_true_only @ a @ X0 ) )
   <= ! [X6: $i,X8: $i] :
        ( ( g_true_only @ a @ X6 )
        | ( g_true_only @ X6 @ X8 )
        | ~ ( g_both @ a @ X6 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl67]) ).

thf(zip_derived_cl1,plain,
    ! [X2: $i] :
      ~ ( g_true_only @ X2 @ ( sk__5 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl71,plain,
    ( ! [X0: $i] :
        ( ( g_true_only @ a @ X0 )
        | ( g_false_only @ a @ X0 ) )
   <= ! [X6: $i,X8: $i] :
        ( ( g_true_only @ a @ X6 )
        | ( g_true_only @ X6 @ X8 )
        | ~ ( g_both @ a @ X6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl1]) ).

thf(zip_derived_cl2,plain,
    ! [X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( g_true_only @ sk_ @ X3 )
      | ~ ( g_both @ X4 @ X5 )
      | ( g_false_only @ X4 @ ( sk__1 @ X4 ) )
      | ( g_false_only @ a @ sk__2 )
      | ~ ( g_both @ X6 @ X7 )
      | ( g_false_only @ X6 @ ( sk__4 @ X6 ) )
      | ( g_true_only @ a @ X6 )
      | ( g_true_only @ X6 @ X8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('0',plain,
    ( ! [X6: $i,X7: $i,X8: $i] :
        ( ~ ( g_both @ X6 @ X7 )
        | ( g_false_only @ X6 @ ( sk__4 @ X6 ) )
        | ( g_true_only @ a @ X6 )
        | ( g_true_only @ X6 @ X8 ) )
    | ( g_false_only @ a @ sk__2 )
    | ! [X3: $i] : ( g_true_only @ sk_ @ X3 )
    | ! [X4: $i,X5: $i] :
        ( ~ ( g_both @ X4 @ X5 )
        | ( g_false_only @ X4 @ ( sk__1 @ X4 ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl4,plain,
    ! [X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( g_true_only @ sk_ @ X3 )
      | ~ ( g_both @ X4 @ X5 )
      | ( g_false_only @ X4 @ ( sk__1 @ X4 ) )
      | ( g_false_only @ sk__2 @ sk__3 )
      | ~ ( g_both @ X6 @ X7 )
      | ( g_false_only @ X6 @ ( sk__4 @ X6 ) )
      | ( g_true_only @ a @ X6 )
      | ( g_true_only @ X6 @ X8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('1',plain,
    ( ( g_false_only @ sk__2 @ sk__3 )
    | ! [X6: $i,X7: $i,X8: $i] :
        ( ~ ( g_both @ X6 @ X7 )
        | ( g_false_only @ X6 @ ( sk__4 @ X6 ) )
        | ( g_true_only @ a @ X6 )
        | ( g_true_only @ X6 @ X8 ) )
    | ! [X3: $i] : ( g_true_only @ sk_ @ X3 )
    | ! [X4: $i,X5: $i] :
        ( ~ ( g_both @ X4 @ X5 )
        | ( g_false_only @ X4 @ ( sk__1 @ X4 ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl18,plain,
    ( ! [X3: $i] : ( g_true_only @ sk_ @ X3 )
   <= ! [X3: $i] : ( g_true_only @ sk_ @ X3 ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl1_001,plain,
    ! [X2: $i] :
      ~ ( g_true_only @ X2 @ ( sk__5 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('2',plain,
    ~ ! [X3: $i] : ( g_true_only @ sk_ @ X3 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl1]) ).

thf(zip_derived_cl15_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( g_false_only @ X0 @ X1 )
      | ( g_both @ X0 @ X1 )
      | ( g_true_only @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[exhaustion_g]) ).

thf(zip_derived_cl17,plain,
    ( ! [X4: $i,X5: $i] :
        ( ~ ( g_both @ X4 @ X5 )
        | ( g_false_only @ X4 @ ( sk__1 @ X4 ) ) )
   <= ! [X4: $i,X5: $i] :
        ( ~ ( g_both @ X4 @ X5 )
        | ( g_false_only @ X4 @ ( sk__1 @ X4 ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl63,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( g_true_only @ X1 @ X0 )
        | ( g_false_only @ X1 @ X0 )
        | ( g_false_only @ X1 @ ( sk__1 @ X1 ) ) )
   <= ! [X4: $i,X5: $i] :
        ( ~ ( g_both @ X4 @ X5 )
        | ( g_false_only @ X4 @ ( sk__1 @ X4 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl17]) ).

thf(zip_derived_cl63_003,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( g_true_only @ X1 @ X0 )
        | ( g_false_only @ X1 @ X0 )
        | ( g_false_only @ X1 @ ( sk__1 @ X1 ) ) )
   <= ! [X4: $i,X5: $i] :
        ( ~ ( g_both @ X4 @ X5 )
        | ( g_false_only @ X4 @ ( sk__1 @ X4 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl17]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( g_false_only @ X0 @ X1 )
      | ~ ( g_false_only @ a @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl92,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( g_false_only @ X0 @ X1 )
        | ( g_true_only @ X0 @ X1 )
        | ~ ( g_false_only @ a @ X0 ) )
   <= ! [X4: $i,X5: $i] :
        ( ~ ( g_both @ X4 @ X5 )
        | ( g_false_only @ X4 @ ( sk__1 @ X4 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl0]) ).

thf(zip_derived_cl0_004,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( g_false_only @ X0 @ X1 )
      | ~ ( g_false_only @ a @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl97,plain,
    ( ! [X0: $i,X1: $i] :
        ( ~ ( g_false_only @ a @ X0 )
        | ( g_true_only @ X0 @ X1 ) )
   <= ! [X4: $i,X5: $i] :
        ( ~ ( g_both @ X4 @ X5 )
        | ( g_false_only @ X4 @ ( sk__1 @ X4 ) ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl92,zip_derived_cl0]) ).

thf(zip_derived_cl98,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( g_false_only @ a @ ( sk__1 @ a ) )
        | ( g_true_only @ a @ X0 )
        | ( g_true_only @ X0 @ X1 ) )
   <= ! [X4: $i,X5: $i] :
        ( ~ ( g_both @ X4 @ X5 )
        | ( g_false_only @ X4 @ ( sk__1 @ X4 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl97]) ).

thf('3',plain,
    ( ~ ! [X4: $i,X5: $i] :
          ( ~ ( g_both @ X4 @ X5 )
          | ( g_false_only @ X4 @ ( sk__1 @ X4 ) ) )
    | ( g_false_only @ a @ ( sk__1 @ a ) )
    | ! [X0: $i,X1: $i] :
        ( ( g_true_only @ X0 @ X1 )
        | ( g_true_only @ a @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl135,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( g_true_only @ X0 @ X1 )
        | ( g_true_only @ a @ X0 ) )
   <= ! [X0: $i,X1: $i] :
        ( ( g_true_only @ X0 @ X1 )
        | ( g_true_only @ a @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl1_005,plain,
    ! [X2: $i] :
      ~ ( g_true_only @ X2 @ ( sk__5 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl138,plain,
    ( ! [X0: $i] : ( g_true_only @ a @ X0 )
   <= ! [X0: $i,X1: $i] :
        ( ( g_true_only @ X0 @ X1 )
        | ( g_true_only @ a @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl135,zip_derived_cl1]) ).

thf(zip_derived_cl1_006,plain,
    ! [X2: $i] :
      ~ ( g_true_only @ X2 @ ( sk__5 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('4',plain,
    ~ ! [X0: $i,X1: $i] :
        ( ( g_true_only @ X0 @ X1 )
        | ( g_true_only @ a @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl138,zip_derived_cl1]) ).

thf(zip_derived_cl136,plain,
    ( ( g_false_only @ a @ ( sk__1 @ a ) )
   <= ( g_false_only @ a @ ( sk__1 @ a ) ) ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl97_007,plain,
    ( ! [X0: $i,X1: $i] :
        ( ~ ( g_false_only @ a @ X0 )
        | ( g_true_only @ X0 @ X1 ) )
   <= ! [X4: $i,X5: $i] :
        ( ~ ( g_both @ X4 @ X5 )
        | ( g_false_only @ X4 @ ( sk__1 @ X4 ) ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl92,zip_derived_cl0]) ).

thf(zip_derived_cl149,plain,
    ( ! [X0: $i] : ( g_true_only @ ( sk__1 @ a ) @ X0 )
   <= ( ! [X4: $i,X5: $i] :
          ( ~ ( g_both @ X4 @ X5 )
          | ( g_false_only @ X4 @ ( sk__1 @ X4 ) ) )
      & ( g_false_only @ a @ ( sk__1 @ a ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl136,zip_derived_cl97]) ).

thf(zip_derived_cl1_008,plain,
    ! [X2: $i] :
      ~ ( g_true_only @ X2 @ ( sk__5 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('5',plain,
    ( ~ ! [X4: $i,X5: $i] :
          ( ~ ( g_both @ X4 @ X5 )
          | ( g_false_only @ X4 @ ( sk__1 @ X4 ) ) )
    | ~ ( g_false_only @ a @ ( sk__1 @ a ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl149,zip_derived_cl1]) ).

thf(zip_derived_cl27,plain,
    ( ( g_false_only @ sk__2 @ sk__3 )
   <= ( g_false_only @ sk__2 @ sk__3 ) ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl0_009,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( g_false_only @ X0 @ X1 )
      | ~ ( g_false_only @ a @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl34,plain,
    ( ~ ( g_false_only @ a @ sk__2 )
   <= ( g_false_only @ sk__2 @ sk__3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl0]) ).

thf(zip_derived_cl19,plain,
    ( ( g_false_only @ a @ sk__2 )
   <= ( g_false_only @ a @ sk__2 ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf('6',plain,
    ( ~ ( g_false_only @ a @ sk__2 )
    | ~ ( g_false_only @ sk__2 @ sk__3 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl34,zip_derived_cl19]) ).

thf(zip_derived_cl19_010,plain,
    ( ( g_false_only @ a @ sk__2 )
   <= ( g_false_only @ a @ sk__2 ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl15_011,plain,
    ! [X0: $i,X1: $i] :
      ( ( g_false_only @ X0 @ X1 )
      | ( g_both @ X0 @ X1 )
      | ( g_true_only @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[exhaustion_g]) ).

thf(zip_derived_cl16,plain,
    ( ! [X6: $i,X7: $i,X8: $i] :
        ( ~ ( g_both @ X6 @ X7 )
        | ( g_false_only @ X6 @ ( sk__4 @ X6 ) )
        | ( g_true_only @ a @ X6 )
        | ( g_true_only @ X6 @ X8 ) )
   <= ! [X6: $i,X7: $i,X8: $i] :
        ( ~ ( g_both @ X6 @ X7 )
        | ( g_false_only @ X6 @ ( sk__4 @ X6 ) )
        | ( g_true_only @ a @ X6 )
        | ( g_true_only @ X6 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl64,plain,
    ( ! [X0: $i,X1: $i,X2: $i] :
        ( ( g_true_only @ X1 @ X0 )
        | ( g_false_only @ X1 @ X0 )
        | ( g_false_only @ X1 @ ( sk__4 @ X1 ) )
        | ( g_true_only @ a @ X1 )
        | ( g_true_only @ X1 @ X2 ) )
   <= ! [X6: $i,X7: $i,X8: $i] :
        ( ~ ( g_both @ X6 @ X7 )
        | ( g_false_only @ X6 @ ( sk__4 @ X6 ) )
        | ( g_true_only @ a @ X6 )
        | ( g_true_only @ X6 @ X8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl16]) ).

thf(zip_derived_cl159,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( g_true_only @ X1 @ X0 )
        | ( g_false_only @ X1 @ X0 )
        | ( g_false_only @ X1 @ ( sk__4 @ X1 ) )
        | ( g_true_only @ a @ X1 ) )
   <= ! [X6: $i,X7: $i,X8: $i] :
        ( ~ ( g_both @ X6 @ X7 )
        | ( g_false_only @ X6 @ ( sk__4 @ X6 ) )
        | ( g_true_only @ a @ X6 )
        | ( g_true_only @ X6 @ X8 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl64]) ).

thf(zip_derived_cl0_012,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( g_false_only @ X0 @ X1 )
      | ~ ( g_false_only @ a @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl163,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( g_true_only @ a @ X0 )
        | ( g_false_only @ X0 @ X1 )
        | ( g_true_only @ X0 @ X1 )
        | ~ ( g_false_only @ a @ X0 ) )
   <= ! [X6: $i,X7: $i,X8: $i] :
        ( ~ ( g_both @ X6 @ X7 )
        | ( g_false_only @ X6 @ ( sk__4 @ X6 ) )
        | ( g_true_only @ a @ X6 )
        | ( g_true_only @ X6 @ X8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl159,zip_derived_cl0]) ).

thf(true_only_g,axiom,
    ! [X_2: $i,X_1: $i] :
      ( ( g_true_only @ X_2 @ X_1 )
    <=> ( ( g_true @ X_2 @ X_1 )
        & ~ ( g_false @ X_2 @ X_1 ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i] :
      ( ( g_true @ X0 @ X1 )
      | ~ ( g_true_only @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[true_only_g]) ).

thf(false_only_g,axiom,
    ! [X_2: $i,X_1: $i] :
      ( ( g_false_only @ X_2 @ X_1 )
    <=> ( ( g_false @ X_2 @ X_1 )
        & ~ ( g_true @ X_2 @ X_1 ) ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( g_true @ X0 @ X1 )
      | ~ ( g_false_only @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[false_only_g]) ).

thf(zip_derived_cl38,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( g_true_only @ X1 @ X0 )
      | ~ ( g_false_only @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl13]) ).

thf(zip_derived_cl170,plain,
    ( ! [X0: $i,X1: $i] :
        ( ~ ( g_false_only @ a @ X0 )
        | ( g_true_only @ X0 @ X1 )
        | ( g_false_only @ X0 @ X1 ) )
   <= ! [X6: $i,X7: $i,X8: $i] :
        ( ~ ( g_both @ X6 @ X7 )
        | ( g_false_only @ X6 @ ( sk__4 @ X6 ) )
        | ( g_true_only @ a @ X6 )
        | ( g_true_only @ X6 @ X8 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl163,zip_derived_cl38]) ).

thf(zip_derived_cl0_013,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( g_false_only @ X0 @ X1 )
      | ~ ( g_false_only @ a @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl171,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( g_true_only @ X0 @ X1 )
        | ~ ( g_false_only @ a @ X0 ) )
   <= ! [X6: $i,X7: $i,X8: $i] :
        ( ~ ( g_both @ X6 @ X7 )
        | ( g_false_only @ X6 @ ( sk__4 @ X6 ) )
        | ( g_true_only @ a @ X6 )
        | ( g_true_only @ X6 @ X8 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl170,zip_derived_cl0]) ).

thf(zip_derived_cl181,plain,
    ( ! [X0: $i] : ( g_true_only @ sk__2 @ X0 )
   <= ( ! [X6: $i,X7: $i,X8: $i] :
          ( ~ ( g_both @ X6 @ X7 )
          | ( g_false_only @ X6 @ ( sk__4 @ X6 ) )
          | ( g_true_only @ a @ X6 )
          | ( g_true_only @ X6 @ X8 ) )
      & ( g_false_only @ a @ sk__2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl171]) ).

thf(zip_derived_cl1_014,plain,
    ! [X2: $i] :
      ~ ( g_true_only @ X2 @ ( sk__5 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('7',plain,
    ( ~ ( g_false_only @ a @ sk__2 )
    | ~ ! [X6: $i,X7: $i,X8: $i] :
          ( ~ ( g_both @ X6 @ X7 )
          | ( g_false_only @ X6 @ ( sk__4 @ X6 ) )
          | ( g_true_only @ a @ X6 )
          | ( g_true_only @ X6 @ X8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl181,zip_derived_cl1]) ).

thf('8',plain,
    ( ! [X6: $i,X8: $i] :
        ( ( g_true_only @ a @ X6 )
        | ( g_true_only @ X6 @ X8 )
        | ~ ( g_both @ a @ X6 ) )
    | ( g_false_only @ a @ sk__2 )
    | ! [X3: $i] : ( g_true_only @ sk_ @ X3 )
    | ! [X4: $i,X5: $i] :
        ( ~ ( g_both @ X4 @ X5 )
        | ( g_false_only @ X4 @ ( sk__1 @ X4 ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf('9',plain,
    ! [X6: $i,X8: $i] :
      ( ( g_true_only @ a @ X6 )
      | ( g_true_only @ X6 @ X8 )
      | ~ ( g_both @ a @ X6 ) ),
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8']) ).

thf(zip_derived_cl239,plain,
    ! [X0: $i] :
      ( ( g_true_only @ a @ X0 )
      | ( g_false_only @ a @ X0 ) ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl71,'9']) ).

thf(zip_derived_cl171_015,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( g_true_only @ X0 @ X1 )
        | ~ ( g_false_only @ a @ X0 ) )
   <= ! [X6: $i,X7: $i,X8: $i] :
        ( ~ ( g_both @ X6 @ X7 )
        | ( g_false_only @ X6 @ ( sk__4 @ X6 ) )
        | ( g_true_only @ a @ X6 )
        | ( g_true_only @ X6 @ X8 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl170,zip_derived_cl0]) ).

thf('10',plain,
    ! [X6: $i,X7: $i,X8: $i] :
      ( ~ ( g_both @ X6 @ X7 )
      | ( g_false_only @ X6 @ ( sk__4 @ X6 ) )
      | ( g_true_only @ a @ X6 )
      | ( g_true_only @ X6 @ X8 ) ),
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6']) ).

thf(zip_derived_cl245,plain,
    ! [X0: $i,X1: $i] :
      ( ( g_true_only @ X0 @ X1 )
      | ~ ( g_false_only @ a @ X0 ) ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl171,'10']) ).

thf(zip_derived_cl257,plain,
    ! [X0: $i,X1: $i] :
      ( ( g_true_only @ a @ X0 )
      | ( g_true_only @ X0 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl239,zip_derived_cl245]) ).

thf(zip_derived_cl1_016,plain,
    ! [X2: $i] :
      ~ ( g_true_only @ X2 @ ( sk__5 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl263,plain,
    ! [X0: $i] : ( g_true_only @ a @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl257,zip_derived_cl1]) ).

thf(zip_derived_cl1_017,plain,
    ! [X2: $i] :
      ~ ( g_true_only @ X2 @ ( sk__5 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl267,plain,
    $false,
    inference('s_sup-',[status(thm)],[zip_derived_cl263,zip_derived_cl1]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SYO607+1 : TPTP v8.1.2. Released v7.0.0.
% 0.00/0.10  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.fmvAJqSj6Q true
% 0.11/0.30  % Computer : n032.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30  % CPULimit : 300
% 0.11/0.30  % WCLimit  : 300
% 0.11/0.30  % DateTime : Sat Aug 26 01:40:28 EDT 2023
% 0.11/0.30  % CPUTime  : 
% 0.11/0.30  % Running portfolio for 300 s
% 0.11/0.30  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.30  % Number of cores: 8
% 0.11/0.31  % Python version: Python 3.6.8
% 0.11/0.31  % 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
% 0.16/0.56  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.16/0.56  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.16/0.56  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.16/0.57  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.16/0.58  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.16/0.58  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.16/0.58  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.16/0.64  % Solved by fo/fo1_av.sh.
% 0.16/0.64  % done 151 iterations in 0.039s
% 0.16/0.64  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.16/0.64  % SZS output start Refutation
% See solution above
% 0.16/0.64  
% 0.16/0.64  
% 0.16/0.64  % Terminating...
% 1.68/0.75  % Runner terminated.
% 1.68/0.76  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------