TSTP Solution File: COM003+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : COM003+2 : TPTP v8.1.2. Bugfixed v2.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.MRmdJ30rrY true

% Computer : n016.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 : Wed Aug 30 18:49:03 EDT 2023

% Result   : Theorem 0.58s 0.83s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   31
% Syntax   : Number of formulae    :   91 (  16 unt;  21 typ;   0 def)
%            Number of atoms       :  202 (   0 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  787 ( 122   ~;  92   |;  14   &; 533   @)
%                                         (   5 <=>;   6  =>;  15  <=;   0 <~>)
%            Maximal formula depth :   11 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   31 (  31   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   22 (  21 usr;   7 con; 0-4 aty)
%            Number of variables   :  102 (   0   ^;  94   !;   8   ?; 102   :)

% Comments : 
%------------------------------------------------------------------------------
thf(program_decides_type,type,
    program_decides: $i > $o ).

thf(program_not_halts2_type,type,
    program_not_halts2: $i > $i > $o ).

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

thf(halts2_type,type,
    halts2: $i > $i > $o ).

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

thf(program_not_halts2_halts2_outputs_type,type,
    program_not_halts2_halts2_outputs: $i > $i > $i > $o ).

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

thf(program_type,type,
    program: $i > $o ).

thf(program_not_halts2_halts3_outputs_type,type,
    program_not_halts2_halts3_outputs: $i > $i > $i > $i > $o ).

thf(program_halts2_halts2_outputs_type,type,
    program_halts2_halts2_outputs: $i > $i > $i > $o ).

thf(program_program_decides_type,type,
    program_program_decides: $i > $o ).

thf(outputs_type,type,
    outputs: $i > $i > $o ).

thf(good_type,type,
    good: $i ).

thf(halts2_outputs_type,type,
    halts2_outputs: $i > $i > $i > $o ).

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

thf(program_halts2_halts3_outputs_type,type,
    program_halts2_halts3_outputs: $i > $i > $i > $i > $o ).

thf(algorithm_program_decides_type,type,
    algorithm_program_decides: $i > $o ).

thf(bad_type,type,
    bad: $i ).

thf(program_halts2_type,type,
    program_halts2: $i > $i > $o ).

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

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

thf(p4,axiom,
    ( ? [V: $i] :
        ( ! [Y: $i] :
            ( ( program_not_halts2_halts2_outputs @ V @ Y @ bad )
            & ( program_halts2_halts2_outputs @ V @ Y @ good ) )
        & ( program @ V ) )
   => ? [U: $i] :
        ( ! [Y: $i] :
            ( ( program_not_halts2_halts2_outputs @ U @ Y @ good )
            & ( ( program_halts2 @ Y @ Y )
             => ~ ( halts2 @ U @ Y ) ) )
        & ( program @ U ) ) ) ).

thf(zip_derived_cl41,plain,
    ! [X0: $i] :
      ( ( program @ sk__5 )
      | ~ ( program @ X0 )
      | ~ ( program_not_halts2_halts2_outputs @ X0 @ ( sk__6 @ X0 ) @ bad )
      | ~ ( program_halts2_halts2_outputs @ X0 @ ( sk__6 @ X0 ) @ good ) ),
    inference(cnf,[status(esa)],[p4]) ).

thf(zip_derived_cl56,plain,
    ( ( program @ sk__5 )
   <= ( program @ sk__5 ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(p3,axiom,
    ( ? [W: $i] :
        ( ! [Y: $i] :
            ( ( program_not_halts2_halts3_outputs @ W @ Y @ Y @ bad )
            & ( program_halts2_halts3_outputs @ W @ Y @ Y @ good ) )
        & ( program @ W ) )
   => ? [V: $i] :
        ( ! [Y: $i] :
            ( ( program_not_halts2_halts2_outputs @ V @ Y @ bad )
            & ( program_halts2_halts2_outputs @ V @ Y @ good ) )
        & ( program @ V ) ) ) ).

thf(zip_derived_cl38,plain,
    ! [X0: $i] :
      ( ( program @ sk__3 )
      | ~ ( program @ X0 )
      | ~ ( program_not_halts2_halts3_outputs @ X0 @ ( sk__4 @ X0 ) @ ( sk__4 @ X0 ) @ bad )
      | ~ ( program_halts2_halts3_outputs @ X0 @ ( sk__4 @ X0 ) @ ( sk__4 @ X0 ) @ good ) ),
    inference(cnf,[status(esa)],[p3]) ).

thf('0',plain,
    ( ( program @ sk__3 )
    | ! [X1: $i] :
        ( ~ ( program @ X1 )
        | ~ ( program_not_halts2_halts3_outputs @ X1 @ ( sk__4 @ X1 ) @ ( sk__4 @ X1 ) @ bad )
        | ~ ( program_halts2_halts3_outputs @ X1 @ ( sk__4 @ X1 ) @ ( sk__4 @ X1 ) @ good ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl36,plain,
    ! [X0: $i,X1: $i] :
      ( ( program_halts2_halts2_outputs @ sk__3 @ X0 @ good )
      | ~ ( program @ X1 )
      | ~ ( program_not_halts2_halts3_outputs @ X1 @ ( sk__4 @ X1 ) @ ( sk__4 @ X1 ) @ bad )
      | ~ ( program_halts2_halts3_outputs @ X1 @ ( sk__4 @ X1 ) @ ( sk__4 @ X1 ) @ good ) ),
    inference(cnf,[status(esa)],[p3]) ).

thf('1',plain,
    ( ! [X0: $i] : ( program_halts2_halts2_outputs @ sk__3 @ X0 @ good )
    | ! [X1: $i] :
        ( ~ ( program @ X1 )
        | ~ ( program_not_halts2_halts3_outputs @ X1 @ ( sk__4 @ X1 ) @ ( sk__4 @ X1 ) @ bad )
        | ~ ( program_halts2_halts3_outputs @ X1 @ ( sk__4 @ X1 ) @ ( sk__4 @ X1 ) @ good ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(p2,axiom,
    ! [W: $i] :
      ( ( program_program_decides @ W )
     => ! [Y: $i,Z: $i] :
          ( ( program_not_halts2_halts3_outputs @ W @ Y @ Z @ bad )
          & ( program_halts2_halts3_outputs @ W @ Y @ Z @ good ) ) ) ).

thf(zip_derived_cl34,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( program_not_halts2_halts3_outputs @ X0 @ X1 @ X2 @ bad )
      | ~ ( program_program_decides @ X0 ) ),
    inference(cnf,[status(esa)],[p2]) ).

thf(zip_derived_cl45,plain,
    ( ! [X1: $i] :
        ( ~ ( program @ X1 )
        | ~ ( program_not_halts2_halts3_outputs @ X1 @ ( sk__4 @ X1 ) @ ( sk__4 @ X1 ) @ bad )
        | ~ ( program_halts2_halts3_outputs @ X1 @ ( sk__4 @ X1 ) @ ( sk__4 @ X1 ) @ good ) )
   <= ! [X1: $i] :
        ( ~ ( program @ X1 )
        | ~ ( program_not_halts2_halts3_outputs @ X1 @ ( sk__4 @ X1 ) @ ( sk__4 @ X1 ) @ bad )
        | ~ ( program_halts2_halts3_outputs @ X1 @ ( sk__4 @ X1 ) @ ( sk__4 @ X1 ) @ good ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl81,plain,
    ( ! [X0: $i] :
        ( ~ ( program_program_decides @ X0 )
        | ~ ( program @ X0 )
        | ~ ( program_halts2_halts3_outputs @ X0 @ ( sk__4 @ X0 ) @ ( sk__4 @ X0 ) @ good ) )
   <= ! [X1: $i] :
        ( ~ ( program @ X1 )
        | ~ ( program_not_halts2_halts3_outputs @ X1 @ ( sk__4 @ X1 ) @ ( sk__4 @ X1 ) @ bad )
        | ~ ( program_halts2_halts3_outputs @ X1 @ ( sk__4 @ X1 ) @ ( sk__4 @ X1 ) @ good ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl45]) ).

thf(program_program_decides_def,axiom,
    ! [X: $i] :
      ( ( program_program_decides @ X )
    <=> ( ( program @ X )
        & ( program_decides @ X ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i] :
      ( ( program @ X0 )
      | ~ ( program_program_decides @ X0 ) ),
    inference(cnf,[status(esa)],[program_program_decides_def]) ).

thf(zip_derived_cl83,plain,
    ( ! [X0: $i] :
        ( ~ ( program_halts2_halts3_outputs @ X0 @ ( sk__4 @ X0 ) @ ( sk__4 @ X0 ) @ good )
        | ~ ( program_program_decides @ X0 ) )
   <= ! [X1: $i] :
        ( ~ ( program @ X1 )
        | ~ ( program_not_halts2_halts3_outputs @ X1 @ ( sk__4 @ X1 ) @ ( sk__4 @ X1 ) @ bad )
        | ~ ( program_halts2_halts3_outputs @ X1 @ ( sk__4 @ X1 ) @ ( sk__4 @ X1 ) @ good ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl81,zip_derived_cl3]) ).

thf(zip_derived_cl35,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( program_halts2_halts3_outputs @ X0 @ X1 @ X2 @ good )
      | ~ ( program_program_decides @ X0 ) ),
    inference(cnf,[status(esa)],[p2]) ).

thf(zip_derived_cl93,plain,
    ( ! [X0: $i] :
        ( ~ ( program_program_decides @ X0 )
        | ~ ( program_program_decides @ X0 ) )
   <= ! [X1: $i] :
        ( ~ ( program @ X1 )
        | ~ ( program_not_halts2_halts3_outputs @ X1 @ ( sk__4 @ X1 ) @ ( sk__4 @ X1 ) @ bad )
        | ~ ( program_halts2_halts3_outputs @ X1 @ ( sk__4 @ X1 ) @ ( sk__4 @ X1 ) @ good ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl83,zip_derived_cl35]) ).

thf(zip_derived_cl94,plain,
    ( ! [X0: $i] :
        ~ ( program_program_decides @ X0 )
   <= ! [X1: $i] :
        ( ~ ( program @ X1 )
        | ~ ( program_not_halts2_halts3_outputs @ X1 @ ( sk__4 @ X1 ) @ ( sk__4 @ X1 ) @ bad )
        | ~ ( program_halts2_halts3_outputs @ X1 @ ( sk__4 @ X1 ) @ ( sk__4 @ X1 ) @ good ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl93]) ).

thf(p1,axiom,
    ( ? [X: $i] : ( algorithm_program_decides @ X )
   => ? [W: $i] : ( program_program_decides @ W ) ) ).

thf(zip_derived_cl33,plain,
    ! [X0: $i] :
      ( ( program_program_decides @ sk__2 )
      | ~ ( algorithm_program_decides @ X0 ) ),
    inference(cnf,[status(esa)],[p1]) ).

thf(zip_derived_cl44,plain,
    ( ( program_program_decides @ sk__2 )
   <= ( program_program_decides @ sk__2 ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl43,plain,
    ( ! [X0: $i] :
        ~ ( algorithm_program_decides @ X0 )
   <= ! [X0: $i] :
        ~ ( algorithm_program_decides @ X0 ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(prove_this,conjecture,
    ~ ? [X: $i] : ( algorithm_program_decides @ X ) ).

thf(zf_stmt_0,negated_conjecture,
    ? [X: $i] : ( algorithm_program_decides @ X ),
    inference('cnf.neg',[status(esa)],[prove_this]) ).

thf(zip_derived_cl42,plain,
    algorithm_program_decides @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('2',plain,
    ~ ! [X0: $i] :
        ~ ( algorithm_program_decides @ X0 ),
    inference('s_sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl42]) ).

thf('3',plain,
    ( ( program_program_decides @ sk__2 )
    | ! [X0: $i] :
        ~ ( algorithm_program_decides @ X0 ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf('4',plain,
    program_program_decides @ sk__2,
    inference('sat_resolution*',[status(thm)],['2','3']) ).

thf(zip_derived_cl59,plain,
    program_program_decides @ sk__2,
    inference(simpl_trail,[status(thm)],[zip_derived_cl44,'4']) ).

thf('5',plain,
    ~ ! [X1: $i] :
        ( ~ ( program @ X1 )
        | ~ ( program_not_halts2_halts3_outputs @ X1 @ ( sk__4 @ X1 ) @ ( sk__4 @ X1 ) @ bad )
        | ~ ( program_halts2_halts3_outputs @ X1 @ ( sk__4 @ X1 ) @ ( sk__4 @ X1 ) @ good ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl94,zip_derived_cl59]) ).

thf(zip_derived_cl37,plain,
    ! [X0: $i,X1: $i] :
      ( ( program_not_halts2_halts2_outputs @ sk__3 @ X0 @ bad )
      | ~ ( program @ X1 )
      | ~ ( program_not_halts2_halts3_outputs @ X1 @ ( sk__4 @ X1 ) @ ( sk__4 @ X1 ) @ bad )
      | ~ ( program_halts2_halts3_outputs @ X1 @ ( sk__4 @ X1 ) @ ( sk__4 @ X1 ) @ good ) ),
    inference(cnf,[status(esa)],[p3]) ).

thf('6',plain,
    ( ! [X0: $i] : ( program_not_halts2_halts2_outputs @ sk__3 @ X0 @ bad )
    | ! [X1: $i] :
        ( ~ ( program @ X1 )
        | ~ ( program_not_halts2_halts3_outputs @ X1 @ ( sk__4 @ X1 ) @ ( sk__4 @ X1 ) @ bad )
        | ~ ( program_halts2_halts3_outputs @ X1 @ ( sk__4 @ X1 ) @ ( sk__4 @ X1 ) @ good ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl39,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( program_halts2 @ X0 @ X0 )
      | ~ ( halts2 @ sk__5 @ X0 )
      | ~ ( program @ X1 )
      | ~ ( program_not_halts2_halts2_outputs @ X1 @ ( sk__6 @ X1 ) @ bad )
      | ~ ( program_halts2_halts2_outputs @ X1 @ ( sk__6 @ X1 ) @ good ) ),
    inference(cnf,[status(esa)],[p4]) ).

thf(zip_derived_cl51,plain,
    ( ! [X1: $i] :
        ( ~ ( program @ X1 )
        | ~ ( program_not_halts2_halts2_outputs @ X1 @ ( sk__6 @ X1 ) @ bad )
        | ~ ( program_halts2_halts2_outputs @ X1 @ ( sk__6 @ X1 ) @ good ) )
   <= ! [X1: $i] :
        ( ~ ( program @ X1 )
        | ~ ( program_not_halts2_halts2_outputs @ X1 @ ( sk__6 @ X1 ) @ bad )
        | ~ ( program_halts2_halts2_outputs @ X1 @ ( sk__6 @ X1 ) @ good ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl46,plain,
    ( ! [X0: $i] : ( program_halts2_halts2_outputs @ sk__3 @ X0 @ good )
   <= ! [X0: $i] : ( program_halts2_halts2_outputs @ sk__3 @ X0 @ good ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl61,plain,
    ( ( ~ ( program_not_halts2_halts2_outputs @ sk__3 @ ( sk__6 @ sk__3 ) @ bad )
      | ~ ( program @ sk__3 ) )
   <= ( ! [X0: $i] : ( program_halts2_halts2_outputs @ sk__3 @ X0 @ good )
      & ! [X1: $i] :
          ( ~ ( program @ X1 )
          | ~ ( program_not_halts2_halts2_outputs @ X1 @ ( sk__6 @ X1 ) @ bad )
          | ~ ( program_halts2_halts2_outputs @ X1 @ ( sk__6 @ X1 ) @ good ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl51,zip_derived_cl46]) ).

thf(zip_derived_cl63,plain,
    ( ~ ( program_not_halts2_halts2_outputs @ sk__3 @ ( sk__6 @ sk__3 ) @ bad )
   <= ~ ( program_not_halts2_halts2_outputs @ sk__3 @ ( sk__6 @ sk__3 ) @ bad ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl48,plain,
    ( ! [X0: $i] : ( program_not_halts2_halts2_outputs @ sk__3 @ X0 @ bad )
   <= ! [X0: $i] : ( program_not_halts2_halts2_outputs @ sk__3 @ X0 @ bad ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf('7',plain,
    ( ( program_not_halts2_halts2_outputs @ sk__3 @ ( sk__6 @ sk__3 ) @ bad )
    | ~ ! [X0: $i] : ( program_not_halts2_halts2_outputs @ sk__3 @ X0 @ bad ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl63,zip_derived_cl48]) ).

thf('8',plain,
    ( ~ ! [X1: $i] :
          ( ~ ( program @ X1 )
          | ~ ( program_not_halts2_halts2_outputs @ X1 @ ( sk__6 @ X1 ) @ bad )
          | ~ ( program_halts2_halts2_outputs @ X1 @ ( sk__6 @ X1 ) @ good ) )
    | ~ ( program_not_halts2_halts2_outputs @ sk__3 @ ( sk__6 @ sk__3 ) @ bad )
    | ~ ! [X0: $i] : ( program_halts2_halts2_outputs @ sk__3 @ X0 @ good )
    | ~ ( program @ sk__3 ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf('9',plain,
    ( ( program @ sk__5 )
    | ! [X1: $i] :
        ( ~ ( program @ X1 )
        | ~ ( program_not_halts2_halts2_outputs @ X1 @ ( sk__6 @ X1 ) @ bad )
        | ~ ( program_halts2_halts2_outputs @ X1 @ ( sk__6 @ X1 ) @ good ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf('10',plain,
    program @ sk__5,
    inference('sat_resolution*',[status(thm)],['0','1','5','6','7','8','9']) ).

thf(zip_derived_cl105,plain,
    program @ sk__5,
    inference(simpl_trail,[status(thm)],[zip_derived_cl56,'10']) ).

thf(zip_derived_cl40,plain,
    ! [X0: $i,X1: $i] :
      ( ( program_not_halts2_halts2_outputs @ sk__5 @ X0 @ good )
      | ~ ( program @ X1 )
      | ~ ( program_not_halts2_halts2_outputs @ X1 @ ( sk__6 @ X1 ) @ bad )
      | ~ ( program_halts2_halts2_outputs @ X1 @ ( sk__6 @ X1 ) @ good ) ),
    inference(cnf,[status(esa)],[p4]) ).

thf(zip_derived_cl54,plain,
    ( ! [X0: $i] : ( program_not_halts2_halts2_outputs @ sk__5 @ X0 @ good )
   <= ! [X0: $i] : ( program_not_halts2_halts2_outputs @ sk__5 @ X0 @ good ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf('11',plain,
    ( ! [X0: $i] : ( program_not_halts2_halts2_outputs @ sk__5 @ X0 @ good )
    | ! [X1: $i] :
        ( ~ ( program @ X1 )
        | ~ ( program_not_halts2_halts2_outputs @ X1 @ ( sk__6 @ X1 ) @ bad )
        | ~ ( program_halts2_halts2_outputs @ X1 @ ( sk__6 @ X1 ) @ good ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf('12',plain,
    ! [X0: $i] : ( program_not_halts2_halts2_outputs @ sk__5 @ X0 @ good ),
    inference('sat_resolution*',[status(thm)],['0','1','5','6','7','8','11']) ).

thf(zip_derived_cl104,plain,
    ! [X0: $i] : ( program_not_halts2_halts2_outputs @ sk__5 @ X0 @ good ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl54,'12']) ).

thf(program_not_halts2_def,axiom,
    ! [X: $i,Y: $i] :
      ( ( program_not_halts2 @ X @ Y )
    <=> ( ( program @ X )
        & ~ ( halts2 @ X @ Y ) ) ) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i] :
      ( ( program_not_halts2 @ X0 @ X1 )
      | ( halts2 @ X0 @ X1 )
      | ~ ( program @ X0 ) ),
    inference(cnf,[status(esa)],[program_not_halts2_def]) ).

thf(program_not_halts2_halts2_outputs_def,axiom,
    ! [X: $i,Y: $i,W: $i] :
      ( ( program_not_halts2_halts2_outputs @ X @ Y @ W )
    <=> ( ( program_not_halts2 @ Y @ Y )
       => ( halts2_outputs @ X @ Y @ W ) ) ) ).

thf(zip_derived_cl30,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( program_not_halts2 @ X0 @ X0 )
      | ( halts2_outputs @ X1 @ X0 @ X2 )
      | ~ ( program_not_halts2_halts2_outputs @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[program_not_halts2_halts2_outputs_def]) ).

thf(zip_derived_cl91,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( program @ X0 )
      | ( halts2 @ X0 @ X0 )
      | ( halts2_outputs @ X2 @ X0 @ X1 )
      | ~ ( program_not_halts2_halts2_outputs @ X2 @ X0 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl30]) ).

thf(zip_derived_cl130,plain,
    ! [X0: $i] :
      ( ~ ( program @ X0 )
      | ( halts2 @ X0 @ X0 )
      | ( halts2_outputs @ sk__5 @ X0 @ good ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl91]) ).

thf(zip_derived_cl139,plain,
    ( ( halts2 @ sk__5 @ sk__5 )
    | ( halts2_outputs @ sk__5 @ sk__5 @ good ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl105,zip_derived_cl130]) ).

thf(halts2_outputs_def,axiom,
    ! [X: $i,Y: $i,W: $i] :
      ( ( halts2_outputs @ X @ Y @ W )
    <=> ( ( halts2 @ X @ Y )
        & ( outputs @ X @ W ) ) ) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( halts2 @ X0 @ X1 )
      | ~ ( halts2_outputs @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[halts2_outputs_def]) ).

thf(zip_derived_cl362,plain,
    halts2 @ sk__5 @ sk__5,
    inference(clc,[status(thm)],[zip_derived_cl139,zip_derived_cl18]) ).

thf(program_halts2_def,axiom,
    ! [X: $i,Y: $i] :
      ( ( program_halts2 @ X @ Y )
    <=> ( ( program @ X )
        & ( halts2 @ X @ Y ) ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i] :
      ( ( program_halts2 @ X0 @ X1 )
      | ~ ( halts2 @ X0 @ X1 )
      | ~ ( program @ X0 ) ),
    inference(cnf,[status(esa)],[program_halts2_def]) ).

thf(zip_derived_cl363,plain,
    ( ( program_halts2 @ sk__5 @ sk__5 )
    | ~ ( program @ sk__5 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl362,zip_derived_cl11]) ).

thf(zip_derived_cl105_001,plain,
    program @ sk__5,
    inference(simpl_trail,[status(thm)],[zip_derived_cl56,'10']) ).

thf(zip_derived_cl366,plain,
    program_halts2 @ sk__5 @ sk__5,
    inference(demod,[status(thm)],[zip_derived_cl363,zip_derived_cl105]) ).

thf(zip_derived_cl52,plain,
    ( ! [X0: $i] :
        ( ~ ( program_halts2 @ X0 @ X0 )
        | ~ ( halts2 @ sk__5 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( program_halts2 @ X0 @ X0 )
        | ~ ( halts2 @ sk__5 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf('13',plain,
    ( ! [X0: $i] :
        ( ~ ( program_halts2 @ X0 @ X0 )
        | ~ ( halts2 @ sk__5 @ X0 ) )
    | ! [X1: $i] :
        ( ~ ( program @ X1 )
        | ~ ( program_not_halts2_halts2_outputs @ X1 @ ( sk__6 @ X1 ) @ bad )
        | ~ ( program_halts2_halts2_outputs @ X1 @ ( sk__6 @ X1 ) @ good ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf('14',plain,
    ! [X0: $i] :
      ( ~ ( program_halts2 @ X0 @ X0 )
      | ~ ( halts2 @ sk__5 @ X0 ) ),
    inference('sat_resolution*',[status(thm)],['0','1','5','6','7','8','13']) ).

thf(zip_derived_cl103,plain,
    ! [X0: $i] :
      ( ~ ( program_halts2 @ X0 @ X0 )
      | ~ ( halts2 @ sk__5 @ X0 ) ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl52,'14']) ).

thf(zip_derived_cl369,plain,
    ~ ( halts2 @ sk__5 @ sk__5 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl366,zip_derived_cl103]) ).

thf(zip_derived_cl362_002,plain,
    halts2 @ sk__5 @ sk__5,
    inference(clc,[status(thm)],[zip_derived_cl139,zip_derived_cl18]) ).

thf(zip_derived_cl372,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl369,zip_derived_cl362]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : COM003+2 : TPTP v8.1.2. Bugfixed v2.2.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.MRmdJ30rrY true
% 0.13/0.34  % Computer : n016.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 : Tue Aug 29 14:07:31 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.56/0.64  % Total configuration time : 435
% 0.56/0.64  % Estimated wc time : 1092
% 0.56/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.83  % Solved by fo/fo1_av.sh.
% 0.58/0.83  % done 204 iterations in 0.063s
% 0.58/0.83  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.58/0.83  % SZS output start Refutation
% See solution above
% 0.58/0.83  
% 0.58/0.83  
% 0.58/0.83  % Terminating...
% 0.59/0.87  % Runner terminated.
% 0.59/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------