%------------------------------------------------------------------------------
% File     : Satallax---3.5
% Problem  : SYO017^1 : TPTP v8.1.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s

% 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  : 600s
% DateTime : Thu Jul 21 19:29:33 EDT 2022

% Result   : Theorem 0.19s 0.37s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

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

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

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

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

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

thf(sP5,plain,
    ( sP5
  <=> $false ),
    introduced(definition,[new_symbols(definition,[sP5])]) ).

thf(sP6,plain,
    ( sP6
  <=> ( ( ~ sP5 )
      = sP3 ) ),
    introduced(definition,[new_symbols(definition,[sP6])]) ).

thf(sP7,plain,
    ( sP7
  <=> ( sP3 = sP5 ) ),
    introduced(definition,[new_symbols(definition,[sP7])]) ).

thf(sP8,plain,
    ( sP8
  <=> ( h @ sP5 ) ),
    introduced(definition,[new_symbols(definition,[sP8])]) ).

thf(sP9,plain,
    ( sP9
  <=> ( sP5 = sP3 ) ),
    introduced(definition,[new_symbols(definition,[sP9])]) ).

thf(conj,conjecture,
    sP1 = sP8 ).

thf(h0,negated_conjecture,
    sP1 != sP8,
    inference(assume_negation,[status(cth)],[conj]) ).

thf(h1,assumption,
    sP1,
    introduced(assumption,[]) ).

thf(h2,assumption,
    sP8,
    introduced(assumption,[]) ).

thf(h3,assumption,
    ~ sP1,
    introduced(assumption,[]) ).

thf(h4,assumption,
    ~ sP8,
    introduced(assumption,[]) ).

thf(1,plain,
    ( sP2
    | ~ sP3
    | sP5 ),
    inference(prop_rule,[status(thm)],]) ).

thf(2,plain,
    ( ~ sP1
    | sP4
    | ~ sP2 ),
    inference(mating_rule,[status(thm)],]) ).

thf(3,plain,
    ~ sP5,
    inference(prop_rule,[status(thm)],]) ).

thf(4,plain,
    ( ~ sP3
    | ~ sP4
    | sP8 ),
    inference(prop_rule,[status(thm)],]) ).

thf(5,plain,
    ( sP7
    | sP3
    | sP5 ),
    inference(prop_rule,[status(thm)],]) ).

thf(6,plain,
    ( ~ sP1
    | sP8
    | ~ sP7 ),
    inference(mating_rule,[status(thm)],]) ).

thf(7,plain,
    $false,
    inference(prop_unsat,[status(thm),assumptions([h1,h2,h0])],[1,2,3,4,5,6,h1,h2]) ).

thf(8,plain,
    ( sP6
    | sP5
    | ~ sP3 ),
    inference(prop_rule,[status(thm)],]) ).

thf(9,plain,
    ( ~ sP4
    | sP1
    | ~ sP6 ),
    inference(mating_rule,[status(thm)],]) ).

thf(10,plain,
    ( ~ sP3
    | sP4
    | ~ sP8 ),
    inference(prop_rule,[status(thm)],]) ).

thf(11,plain,
    ~ sP5,
    inference(prop_rule,[status(thm)],]) ).

thf(12,plain,
    ( sP9
    | sP5
    | sP3 ),
    inference(prop_rule,[status(thm)],]) ).

thf(13,plain,
    ( ~ sP8
    | sP1
    | ~ sP9 ),
    inference(mating_rule,[status(thm)],]) ).

thf(14,plain,
    $false,
    inference(prop_unsat,[status(thm),assumptions([h3,h4,h0])],[8,9,10,11,12,13,h3,h4]) ).

thf(15,plain,
    $false,
    inference(tab_be,[status(thm),assumptions([h0]),tab_be(discharge,[h1,h2]),tab_be(discharge,[h3,h4])],[h0,7,14,h1,h2,h3,h4]) ).

thf(0,theorem,
    sP1 = sP8,
    inference(contra,[status(thm),contra(discharge,[h0])],[15,h0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYO017^1 : TPTP v8.1.0. Released v3.7.0.
% 0.03/0.13  % Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.34  % Computer : n027.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sat Jul  9 00:27:46 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.37  % SZS status Theorem
% 0.19/0.37  % Mode: mode213
% 0.19/0.37  % Inferences: 42
% 0.19/0.37  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------