TSTP Solution File: SYN067+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN067+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.tyCFbvjOqO true

% Computer : n029.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 04:01:31 EDT 2023

% Result   : Theorem 0.20s 0.80s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   39
% Syntax   : Number of formulae    :  106 (  10 unt;  29 typ;   0 def)
%            Number of atoms       :  195 (   0 equ;   0 cnn)
%            Maximal formula atoms :   18 (   2 avg)
%            Number of connectives :  453 (  68   ~;  88   |;  15   &; 267   @)
%                                         (  11 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   33 (  33   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   22 (  21 usr;   4 con; 0-3 aty)
%            Number of variables   :  105 (   0   ^;  89   !;  16   ?; 105   :)

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

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

thf(big_p_type,type,
    big_p: $i > $o ).

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

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

thf(zip_tseitin_3_type,type,
    zip_tseitin_3: $i > $i > $i > $o ).

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

thf(zip_tseitin_4_type,type,
    zip_tseitin_4: $i > $o ).

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

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

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

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

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

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

thf(sk__7_type,type,
    sk__7: $i > $i ).

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

thf(sk__9_type,type,
    sk__9: $i ).

thf(zip_tseitin_5_type,type,
    zip_tseitin_5: $i > $o ).

thf(big_r_type,type,
    big_r: $i > $i > $o ).

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

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

thf(pel38,conjecture,
    ( ! [X: $i] :
        ( ( ( ( big_p @ X )
           => ? [Y: $i] :
                ( ( big_p @ Y )
                & ( big_r @ X @ Y ) ) )
          & ( big_p @ a ) )
       => ? [Z: $i,W: $i] :
            ( ( big_p @ Z )
            & ( big_r @ X @ W )
            & ( big_r @ W @ Z ) ) )
  <=> ! [X1: $i] :
        ( ( ~ ( big_p @ a )
          | ( big_p @ X1 )
          | ? [Z1: $i,W1: $i] :
              ( ( big_p @ Z1 )
              & ( big_r @ X1 @ W1 )
              & ( big_r @ W1 @ Z1 ) ) )
        & ( ~ ( big_p @ a )
          | ~ ? [Y1: $i] :
                ( ( big_p @ Y1 )
                & ( big_r @ X1 @ Y1 ) )
          | ? [Z2: $i,W2: $i] :
              ( ( big_p @ Z2 )
              & ( big_r @ X1 @ W2 )
              & ( big_r @ W2 @ Z2 ) ) ) ) ) ).

thf(zf_stmt_0,axiom,
    ! [X1: $i] :
      ( ( zip_tseitin_7 @ X1 )
    <=> ( ( zip_tseitin_6 @ X1 )
        & ( zip_tseitin_5 @ X1 ) ) ) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_7 @ X0 )
      | ~ ( zip_tseitin_5 @ X0 )
      | ~ ( zip_tseitin_6 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zf_stmt_1,type,
    zip_tseitin_7: $i > $o ).

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

thf(zf_stmt_3,axiom,
    ! [X1: $i] :
      ( ( zip_tseitin_6 @ X1 )
    <=> ( ? [Z2: $i,W2: $i] : ( zip_tseitin_3 @ W2 @ Z2 @ X1 )
        | ~ ? [Y1: $i] : ( zip_tseitin_0 @ Y1 @ X1 )
        | ~ ( big_p @ a ) ) ) ).

thf(zf_stmt_4,type,
    zip_tseitin_5: $i > $o ).

thf(zf_stmt_5,axiom,
    ! [X1: $i] :
      ( ( zip_tseitin_5 @ X1 )
    <=> ( ? [Z1: $i,W1: $i] : ( zip_tseitin_3 @ W1 @ Z1 @ X1 )
        | ( big_p @ X1 )
        | ~ ( big_p @ a ) ) ) ).

thf(zf_stmt_6,type,
    zip_tseitin_4: $i > $o ).

thf(zf_stmt_7,axiom,
    ! [X: $i] :
      ( ( zip_tseitin_4 @ X )
    <=> ( ( zip_tseitin_2 @ X )
       => ? [Z: $i,W: $i] : ( zip_tseitin_3 @ W @ Z @ X ) ) ) ).

thf(zf_stmt_8,type,
    zip_tseitin_3: $i > $i > $i > $o ).

thf(zf_stmt_9,axiom,
    ! [W: $i,Z: $i,X: $i] :
      ( ( zip_tseitin_3 @ W @ Z @ X )
    <=> ( ( big_r @ W @ Z )
        & ( big_r @ X @ W )
        & ( big_p @ Z ) ) ) ).

thf(zf_stmt_10,type,
    zip_tseitin_2: $i > $o ).

thf(zf_stmt_11,axiom,
    ! [X: $i] :
      ( ( zip_tseitin_2 @ X )
    <=> ( ( big_p @ a )
        & ( zip_tseitin_1 @ X ) ) ) ).

thf(zf_stmt_12,type,
    zip_tseitin_1: $i > $o ).

thf(zf_stmt_13,axiom,
    ! [X: $i] :
      ( ( zip_tseitin_1 @ X )
    <=> ( ( big_p @ X )
       => ? [Y: $i] : ( zip_tseitin_0 @ Y @ X ) ) ) ).

thf(zf_stmt_14,type,
    zip_tseitin_0: $i > $i > $o ).

thf(zf_stmt_15,axiom,
    ! [Y: $i,X: $i] :
      ( ( zip_tseitin_0 @ Y @ X )
    <=> ( ( big_r @ X @ Y )
        & ( big_p @ Y ) ) ) ).

thf(zf_stmt_16,conjecture,
    ( ! [X: $i] : ( zip_tseitin_4 @ X )
  <=> ! [X1: $i] : ( zip_tseitin_7 @ X1 ) ) ).

thf(zf_stmt_17,negated_conjecture,
    ~ ( ! [X: $i] : ( zip_tseitin_4 @ X )
    <=> ! [X1: $i] : ( zip_tseitin_7 @ X1 ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_16]) ).

thf(zip_derived_cl28,plain,
    ( ~ ( zip_tseitin_7 @ sk__8 )
    | ~ ( zip_tseitin_4 @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_17]) ).

thf(zip_derived_cl37,plain,
    ( ~ ( zip_tseitin_6 @ sk__8 )
    | ~ ( zip_tseitin_5 @ sk__8 )
    | ~ ( zip_tseitin_4 @ sk__9 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl28]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i] :
      ( ~ ( zip_tseitin_2 @ X0 )
      | ( zip_tseitin_3 @ ( sk__2 @ X0 ) @ ( sk__1 @ X0 ) @ X0 )
      | ~ ( zip_tseitin_4 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_6 @ X0 )
      | ~ ( zip_tseitin_3 @ X1 @ X2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl96,plain,
    ! [X0: $i] :
      ( ~ ( zip_tseitin_4 @ X0 )
      | ~ ( zip_tseitin_2 @ X0 )
      | ( zip_tseitin_6 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl21]) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_7 @ X0 )
      | ( zip_tseitin_4 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_17]) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_6 @ X0 )
      | ~ ( zip_tseitin_7 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl54,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_4 @ X1 )
      | ( zip_tseitin_6 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl24]) ).

thf(zip_derived_cl111,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_6 @ X0 )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl96,zip_derived_cl54]) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_6 @ X0 )
      | ( zip_tseitin_0 @ ( sk__5 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_1 @ X0 )
      | ~ ( zip_tseitin_0 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_13]) ).

thf(zip_derived_cl70,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_6 @ X0 )
      | ( zip_tseitin_1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl4]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_2 @ X0 )
      | ~ ( zip_tseitin_1 @ X0 )
      | ~ ( big_p @ a ) ),
    inference(cnf,[status(esa)],[zf_stmt_11]) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_6 @ X0 )
      | ( big_p @ a ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl37_001,plain,
    ( ~ ( zip_tseitin_6 @ sk__8 )
    | ~ ( zip_tseitin_5 @ sk__8 )
    | ~ ( zip_tseitin_4 @ sk__9 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl28]) ).

thf(zip_derived_cl43,plain,
    ( ( big_p @ a )
    | ~ ( zip_tseitin_4 @ sk__9 )
    | ~ ( zip_tseitin_5 @ sk__8 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl37]) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_4 @ X0 )
      | ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i] :
      ( ( big_p @ a )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_11]) ).

thf(zip_derived_cl34,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_4 @ X0 )
      | ( big_p @ a ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl6]) ).

thf(zip_derived_cl44,plain,
    ( ~ ( zip_tseitin_5 @ sk__8 )
    | ( big_p @ a ) ),
    inference(clc,[status(thm)],[zip_derived_cl43,zip_derived_cl34]) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_5 @ X0 )
      | ( big_p @ a ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl45,plain,
    big_p @ a,
    inference(clc,[status(thm)],[zip_derived_cl44,zip_derived_cl19]) ).

thf(zip_derived_cl46,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_2 @ X0 )
      | ~ ( zip_tseitin_1 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl45]) ).

thf(zip_derived_cl72,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_6 @ X0 )
      | ( zip_tseitin_2 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl46]) ).

thf(zip_derived_cl112,plain,
    ! [X0: $i] : ( zip_tseitin_6 @ X0 ),
    inference(clc,[status(thm)],[zip_derived_cl111,zip_derived_cl72]) ).

thf(zip_derived_cl114,plain,
    ( ~ ( zip_tseitin_5 @ sk__8 )
    | ~ ( zip_tseitin_4 @ sk__9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl112]) ).

thf(zip_derived_cl13_002,plain,
    ! [X0: $i] :
      ( ~ ( zip_tseitin_2 @ X0 )
      | ( zip_tseitin_3 @ ( sk__2 @ X0 ) @ ( sk__1 @ X0 ) @ X0 )
      | ~ ( zip_tseitin_4 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_5 @ X0 )
      | ~ ( zip_tseitin_3 @ X1 @ X2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl95,plain,
    ! [X0: $i] :
      ( ~ ( zip_tseitin_4 @ X0 )
      | ~ ( zip_tseitin_2 @ X0 )
      | ( zip_tseitin_5 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl17]) ).

thf(zip_derived_cl27_003,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_7 @ X0 )
      | ( zip_tseitin_4 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_17]) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_5 @ X0 )
      | ~ ( zip_tseitin_7 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl55,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_4 @ X1 )
      | ( zip_tseitin_5 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl25]) ).

thf(zip_derived_cl104,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_5 @ X0 )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl95,zip_derived_cl55]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_1 @ X0 )
      | ( big_p @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_13]) ).

thf(zip_derived_cl8_004,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_2 @ X0 )
      | ~ ( zip_tseitin_1 @ X0 )
      | ~ ( big_p @ a ) ),
    inference(cnf,[status(esa)],[zf_stmt_11]) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i] :
      ( ( big_p @ X0 )
      | ~ ( big_p @ a )
      | ( zip_tseitin_2 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl8]) ).

thf(zip_derived_cl45_005,plain,
    big_p @ a,
    inference(clc,[status(thm)],[zip_derived_cl44,zip_derived_cl19]) ).

thf(zip_derived_cl47,plain,
    ! [X0: $i] :
      ( ( big_p @ X0 )
      | ( zip_tseitin_2 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl45]) ).

thf(zip_derived_cl106,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_5 @ X0 )
      | ( big_p @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl104,zip_derived_cl47]) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_5 @ X0 )
      | ~ ( big_p @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl127,plain,
    ! [X0: $i] : ( zip_tseitin_5 @ X0 ),
    inference(clc,[status(thm)],[zip_derived_cl106,zip_derived_cl18]) ).

thf(zip_derived_cl130,plain,
    ~ ( zip_tseitin_4 @ sk__9 ),
    inference(demod,[status(thm)],[zip_derived_cl114,zip_derived_cl127]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i] :
      ( ~ ( big_p @ X0 )
      | ( zip_tseitin_0 @ ( sk_ @ X0 ) @ X0 )
      | ~ ( zip_tseitin_1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_13]) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_p @ a )
      | ~ ( zip_tseitin_0 @ X0 @ X1 )
      | ( zip_tseitin_3 @ ( sk__7 @ X1 ) @ ( sk__6 @ X1 ) @ X1 )
      | ~ ( zip_tseitin_6 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl45_006,plain,
    big_p @ a,
    inference(clc,[status(thm)],[zip_derived_cl44,zip_derived_cl19]) ).

thf(zip_derived_cl74,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( zip_tseitin_0 @ X0 @ X1 )
      | ( zip_tseitin_3 @ ( sk__7 @ X1 ) @ ( sk__6 @ X1 ) @ X1 )
      | ~ ( zip_tseitin_6 @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl20,zip_derived_cl45]) ).

thf(zip_derived_cl75,plain,
    ! [X0: $i] :
      ( ~ ( zip_tseitin_1 @ X0 )
      | ~ ( big_p @ X0 )
      | ~ ( zip_tseitin_6 @ X0 )
      | ( zip_tseitin_3 @ ( sk__7 @ X0 ) @ ( sk__6 @ X0 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl74]) ).

thf(zip_derived_cl112_007,plain,
    ! [X0: $i] : ( zip_tseitin_6 @ X0 ),
    inference(clc,[status(thm)],[zip_derived_cl111,zip_derived_cl72]) ).

thf(zip_derived_cl116,plain,
    ! [X0: $i] :
      ( ~ ( zip_tseitin_1 @ X0 )
      | ~ ( big_p @ X0 )
      | ( zip_tseitin_3 @ ( sk__7 @ X0 ) @ ( sk__6 @ X0 ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl75,zip_derived_cl112]) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_4 @ X0 )
      | ~ ( zip_tseitin_3 @ X1 @ X2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl147,plain,
    ! [X0: $i] :
      ( ~ ( big_p @ X0 )
      | ~ ( zip_tseitin_1 @ X0 )
      | ( zip_tseitin_4 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl14]) ).

thf(zip_derived_cl55_008,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_4 @ X1 )
      | ( zip_tseitin_5 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl25]) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i] :
      ( ~ ( big_p @ a )
      | ( big_p @ X0 )
      | ( zip_tseitin_3 @ ( sk__4 @ X0 ) @ ( sk__3 @ X0 ) @ X0 )
      | ~ ( zip_tseitin_5 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl45_009,plain,
    big_p @ a,
    inference(clc,[status(thm)],[zip_derived_cl44,zip_derived_cl19]) ).

thf(zip_derived_cl77,plain,
    ! [X0: $i] :
      ( ( big_p @ X0 )
      | ( zip_tseitin_3 @ ( sk__4 @ X0 ) @ ( sk__3 @ X0 ) @ X0 )
      | ~ ( zip_tseitin_5 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl45]) ).

thf(zip_derived_cl79,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_4 @ X1 )
      | ( zip_tseitin_3 @ ( sk__4 @ X0 ) @ ( sk__3 @ X0 ) @ X0 )
      | ( big_p @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl77]) ).

thf(zip_derived_cl14_010,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_4 @ X0 )
      | ~ ( zip_tseitin_3 @ X1 @ X2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl121,plain,
    ! [X0: $i,X1: $i] :
      ( ( big_p @ X0 )
      | ( zip_tseitin_4 @ X1 )
      | ( zip_tseitin_4 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl14]) ).

thf(zip_derived_cl143,plain,
    ! [X0: $i] :
      ( ( big_p @ X0 )
      | ( zip_tseitin_4 @ X0 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl121]) ).

thf(zip_derived_cl149,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_4 @ X0 )
      | ~ ( zip_tseitin_1 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl147,zip_derived_cl143]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_1 @ X0 )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_11]) ).

thf(zip_derived_cl151,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_4 @ X0 )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl149,zip_derived_cl7]) ).

thf(zip_derived_cl15_011,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_4 @ X0 )
      | ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl154,plain,
    ! [X0: $i] : ( zip_tseitin_4 @ X0 ),
    inference(clc,[status(thm)],[zip_derived_cl151,zip_derived_cl15]) ).

thf(zip_derived_cl157,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl154]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN067+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.tyCFbvjOqO true
% 0.13/0.34  % Computer : n029.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 : Sat Aug 26 17:51:40 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.20/0.62  % Total configuration time : 435
% 0.20/0.62  % Estimated wc time : 1092
% 0.20/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.80  % Solved by fo/fo4.sh.
% 0.20/0.80  % done 80 iterations in 0.029s
% 0.20/0.80  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.20/0.80  % SZS output start Refutation
% See solution above
% 0.20/0.80  
% 0.20/0.80  
% 0.20/0.80  % Terminating...
% 1.37/0.83  % Runner terminated.
% 1.37/0.84  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------