%------------------------------------------------------------------------------
% File     : Satallax---3.5
% Problem  : SEU844^5 : 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 : n013.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 : Tue Jul 19 14:10:30 EDT 2022

% Result   : Theorem 2.00s 2.28s
% Output   : Proof 2.00s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
thf(ty_a,type,
    a: $tType ).

thf(ty_cS,type,
    cS: a > $o ).

thf(ty_eigen__2,type,
    eigen__2: a ).

thf(ty_cT,type,
    cT: a > $o ).

thf(sP1,plain,
    ( sP1
  <=> ! [X1: a > $o] : ( !! @ ( (=) @ X1 ) ) ),
    introduced(definition,[new_symbols(definition,[sP1])]) ).

thf(sP2,plain,
    ( sP2
  <=> ! [X1: a] :
        ( $false
        = ( ~ $false ) ) ),
    introduced(definition,[new_symbols(definition,[sP2])]) ).

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

thf(sP4,plain,
    ( sP4
  <=> ( ( ^ [X1: a] : $false )
      = ( ^ [X1: a] : ~ $false ) ) ),
    introduced(definition,[new_symbols(definition,[sP4])]) ).

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

thf(sP6,plain,
    ( sP6
  <=> ( !!
      @ ( (=)
        @ ^ [X1: a] : sP5 ) ) ),
    introduced(definition,[new_symbols(definition,[sP6])]) ).

thf(sP7,plain,
    ( sP7
  <=> ( sP1
     => ~ ( ! [X1: a] :
              ( ( cS @ X1 )
             => ( cT @ X1 ) )
         => ~ ! [X1: a] :
                ( ( cT @ X1 )
               => ( cS @ X1 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP7])]) ).

thf(cGAZING_THM8_pme,conjecture,
    sP7 ).

thf(h0,negated_conjecture,
    ~ sP7,
    inference(assume_negation,[status(cth)],[cGAZING_THM8_pme]) ).

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

thf(2,plain,
    ( ~ sP3
    | sP5
    | sP5 ),
    inference(prop_rule,[status(thm)],]) ).

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

thf(4,plain,
    ( ~ sP4
    | sP2 ),
    inference(prop_rule,[status(thm)],]) ).

thf(5,plain,
    ( ~ sP6
    | sP4 ),
    inference(all_rule,[status(thm)],]) ).

thf(6,plain,
    ( ~ sP1
    | sP6 ),
    inference(all_rule,[status(thm)],]) ).

thf(7,plain,
    ( sP7
    | sP1 ),
    inference(prop_rule,[status(thm)],]) ).

thf(8,plain,
    $false,
    inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,3,4,5,6,7,h0]) ).

thf(0,theorem,
    sP7,
    inference(contra,[status(thm),contra(discharge,[h0])],[8,h0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : SEU844^5 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.13  % Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34  % Computer : n013.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 : Mon Jun 20 02:21:59 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 2.00/2.28  % SZS status Theorem
% 2.00/2.28  % Mode: mode506
% 2.00/2.28  % Inferences: 105304
% 2.00/2.28  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------