%------------------------------------------------------------------------------
% File     : Satallax---3.5
% Problem  : SYO039^1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s

% Computer : n010.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  : 600s
% DateTime : Thu Jul 21 19:29:44 EDT 2022

% Result   : Unsatisfiable 0.13s 0.37s
% Output   : Proof 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   19 (   4 unt;   1 typ;   0 def)
%            Number of atoms       :   58 (  11 equ;   0 cnn)
%            Maximal formula atoms :    4 (   3 avg)
%            Number of connectives :   50 (  16   ~;  10   |;   0   &;  16   @)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    1 (   1   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   9 con; 0-2 aty)
%            Number of variables   :    0 (   0   ^   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(ty_h,type,
    h: $o > $i ).

thf(sP1,plain,
    ( sP1
  <=> ( $false = $false ) ),
    introduced(definition,[new_symbols(definition,[sP1])]) ).

thf(sP2,plain,
    ( sP2
  <=> ( ( ~ $false )
      = ( ( h @ $false )
        = ( h @ ~ $false ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP2])]) ).

thf(sP3,plain,
    ( sP3
  <=> ( ( h @ ~ $false )
      = ( h
        @ ( ( h @ $false )
          = ( h @ ~ $false ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP3])]) ).

thf(sP4,plain,
    ( sP4
  <=> $false ),
    introduced(definition,[new_symbols(definition,[sP4])]) ).

thf(sP5,plain,
    ( sP5
  <=> ( ( h @ sP4 )
      = ( h @ sP4 ) ) ),
    introduced(definition,[new_symbols(definition,[sP5])]) ).

thf(sP6,plain,
    ( sP6
  <=> ( ( h
        @ ( ( h @ sP4 )
          = ( h @ ~ sP4 ) ) )
      = ( h @ sP4 ) ) ),
    introduced(definition,[new_symbols(definition,[sP6])]) ).

thf(sP7,plain,
    ( sP7
  <=> ( ( ( h @ sP4 )
        = ( h @ ~ sP4 ) )
      = sP4 ) ),
    introduced(definition,[new_symbols(definition,[sP7])]) ).

thf(sP8,plain,
    ( sP8
  <=> ( ( h @ sP4 )
      = ( h @ ~ sP4 ) ) ),
    introduced(definition,[new_symbols(definition,[sP8])]) ).

thf(1,plain,
    ( sP2
    | sP4
    | ~ sP8 ),
    inference(prop_rule,[status(thm)],]) ).

thf(2,plain,
    sP1,
    inference(prop_rule,[status(thm)],]) ).

thf(3,plain,
    ( sP3
    | ~ sP2 ),
    inference(prop_rule,[status(thm)],]) ).

thf(4,plain,
    ( sP5
    | ~ sP1 ),
    inference(prop_rule,[status(thm)],]) ).

thf(5,plain,
    ( ~ sP8
    | sP6
    | ~ sP3
    | ~ sP5 ),
    inference(confrontation_rule,[status(thm)],]) ).

thf(6,plain,
    ~ sP4,
    inference(prop_rule,[status(thm)],]) ).

thf(7,plain,
    ( sP7
    | sP8
    | sP4 ),
    inference(prop_rule,[status(thm)],]) ).

thf(8,plain,
    ( sP6
    | ~ sP7 ),
    inference(prop_rule,[status(thm)],]) ).

thf('1_001',axiom,
    ~ sP6 ).

thf(9,plain,
    $false,
    inference(prop_unsat,[status(thm)],[1,2,3,4,5,6,7,8,1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYO039^1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34  % Computer : n010.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  : 600
% 0.13/0.34  % DateTime : Sat Jul  9 15:36:46 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.37  % SZS status Unsatisfiable
% 0.13/0.37  % Mode: mode213
% 0.13/0.37  % Inferences: 27
% 0.13/0.37  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------