%------------------------------------------------------------------------------
% File     : Satallax---3.5
% Problem  : SYO894^8 : TPTP v8.1.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s

% Computer : n026.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 19:35:13 EDT 2022

% Result   : Theorem 0.13s 0.37s
% Output   : Proof 0.13s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
thf(ty_mworld,type,
    mworld: $tType ).

thf(ty_p,type,
    p: mworld > $o ).

thf(ty_eigen__1,type,
    eigen__1: mworld ).

thf(ty_eigen__0,type,
    eigen__0: mworld ).

thf(ty_mrel,type,
    mrel: mworld > mworld > $o ).

thf(ty_mactual,type,
    mactual: mworld ).

thf(sP1,plain,
    ( sP1
  <=> ( mrel @ mactual @ eigen__0 ) ),
    introduced(definition,[new_symbols(definition,[sP1])]) ).

thf(sP2,plain,
    ( sP2
  <=> ! [X1: mworld] :
        ( ( mrel @ mactual @ X1 )
       => ~ ( p @ X1 ) ) ),
    introduced(definition,[new_symbols(definition,[sP2])]) ).

thf(sP3,plain,
    ( sP3
  <=> ( ( p @ eigen__0 )
     => ~ ( p @ eigen__0 ) ) ),
    introduced(definition,[new_symbols(definition,[sP3])]) ).

thf(sP4,plain,
    ( sP4
  <=> ( sP1
     => sP3 ) ),
    introduced(definition,[new_symbols(definition,[sP4])]) ).

thf(sP5,plain,
    ( sP5
  <=> ( mrel @ mactual @ eigen__1 ) ),
    introduced(definition,[new_symbols(definition,[sP5])]) ).

thf(sP6,plain,
    ( sP6
  <=> ( sP5
     => ~ ( p @ eigen__1 ) ) ),
    introduced(definition,[new_symbols(definition,[sP6])]) ).

thf(sP7,plain,
    ( sP7
  <=> ! [X1: mworld] :
        ( ( mrel @ mactual @ X1 )
       => ( ( p @ X1 )
         => ~ ( p @ X1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP7])]) ).

thf(sP8,plain,
    ( sP8
  <=> ( p @ eigen__0 ) ),
    introduced(definition,[new_symbols(definition,[sP8])]) ).

thf(sP9,plain,
    ( sP9
  <=> ( p @ eigen__1 ) ),
    introduced(definition,[new_symbols(definition,[sP9])]) ).

thf(def_mlocal,definition,
    ( mlocal
    = ( ^ [X1: mworld > $o] : ( X1 @ mactual ) ) ) ).

thf(def_mnot,definition,
    ( mnot
    = ( ^ [X1: mworld > $o,X2: mworld] :
          ~ ( X1 @ X2 ) ) ) ).

thf(def_mand,definition,
    ( mand
    = ( ^ [X1: mworld > $o,X2: mworld > $o,X3: mworld] :
          ~ ( ( X1 @ X3 )
           => ~ ( X2 @ X3 ) ) ) ) ).

thf(def_mor,definition,
    ( mor
    = ( ^ [X1: mworld > $o,X2: mworld > $o,X3: mworld] :
          ( ~ ( X1 @ X3 )
         => ( X2 @ X3 ) ) ) ) ).

thf(def_mimplies,definition,
    ( mimplies
    = ( ^ [X1: mworld > $o,X2: mworld > $o,X3: mworld] :
          ( ( X1 @ X3 )
         => ( X2 @ X3 ) ) ) ) ).

thf(def_mequiv,definition,
    ( mequiv
    = ( ^ [X1: mworld > $o,X2: mworld > $o,X3: mworld] :
          ( ( X1 @ X3 )
          = ( X2 @ X3 ) ) ) ) ).

thf(def_mbox,definition,
    ( mbox
    = ( ^ [X1: mworld > $o,X2: mworld] :
        ! [X3: mworld] :
          ( ( mrel @ X2 @ X3 )
         => ( X1 @ X3 ) ) ) ) ).

thf(def_mdia,definition,
    ( mdia
    = ( ^ [X1: mworld > $o,X2: mworld] :
          ~ ! [X3: mworld] :
              ( ( mrel @ X2 @ X3 )
             => ~ ( X1 @ X3 ) ) ) ) ).

thf(con,conjecture,
    ( sP7
    = ( ~ ~ sP2 ) ) ).

thf(h0,negated_conjecture,
    sP7 != sP2,
    inference(assume_negation,[status(cth)],[con]) ).

thf(h1,assumption,
    sP7,
    introduced(assumption,[]) ).

thf(h2,assumption,
    sP2,
    introduced(assumption,[]) ).

thf(h3,assumption,
    ~ sP7,
    introduced(assumption,[]) ).

thf(h4,assumption,
    ~ sP2,
    introduced(assumption,[]) ).

thf(h5,assumption,
    ~ ( sP1
     => ~ sP8 ),
    introduced(assumption,[]) ).

thf(h6,assumption,
    sP1,
    introduced(assumption,[]) ).

thf(h7,assumption,
    sP8,
    introduced(assumption,[]) ).

thf(1,plain,
    ( ~ sP7
    | sP4 ),
    inference(all_rule,[status(thm)],]) ).

thf(2,plain,
    ( ~ sP4
    | ~ sP1
    | sP3 ),
    inference(prop_rule,[status(thm)],]) ).

thf(3,plain,
    ( ~ sP3
    | ~ sP8
    | ~ sP8 ),
    inference(prop_rule,[status(thm)],]) ).

thf(4,plain,
    $false,
    inference(prop_unsat,[status(thm),assumptions([h6,h7,h5,h1,h2,h0])],[1,2,3,h1,h6,h7]) ).

thf(5,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h5,h1,h2,h0]),tab_negimp(discharge,[h6,h7])],[h5,4,h6,h7]) ).

thf(6,plain,
    $false,
    inference(tab_negall,[status(thm),assumptions([h1,h2,h0]),tab_negall(discharge,[h5]),tab_negall(eigenvar,eigen__0)],[h2,5,h5]) ).

thf(h8,assumption,
    ~ ( sP5
     => ( sP9
       => ~ sP9 ) ),
    introduced(assumption,[]) ).

thf(h9,assumption,
    sP5,
    introduced(assumption,[]) ).

thf(h10,assumption,
    ~ ( sP9
     => ~ sP9 ),
    introduced(assumption,[]) ).

thf(h11,assumption,
    sP9,
    introduced(assumption,[]) ).

thf(7,plain,
    ( ~ sP2
    | sP6 ),
    inference(all_rule,[status(thm)],]) ).

thf(8,plain,
    ( ~ sP6
    | ~ sP5
    | ~ sP9 ),
    inference(prop_rule,[status(thm)],]) ).

thf(9,plain,
    $false,
    inference(prop_unsat,[status(thm),assumptions([h11,h11,h9,h10,h8,h3,h4,h0])],[7,8,h9,h11,h4]) ).

thf(10,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h9,h10,h8,h3,h4,h0]),tab_negimp(discharge,[h11,h11])],[h10,9,h11,h11]) ).

thf(11,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h8,h3,h4,h0]),tab_negimp(discharge,[h9,h10])],[h8,10,h9,h10]) ).

thf(12,plain,
    $false,
    inference(tab_negall,[status(thm),assumptions([h3,h4,h0]),tab_negall(discharge,[h8]),tab_negall(eigenvar,eigen__1)],[h3,11,h8]) ).

thf(13,plain,
    $false,
    inference(tab_be,[status(thm),assumptions([h0]),tab_be(discharge,[h1,h2]),tab_be(discharge,[h3,h4])],[h0,6,12,h1,h2,h3,h4]) ).

thf(0,theorem,
    ( sP7
    = ( ~ ~ sP2 ) ),
    inference(contra,[status(thm),contra(discharge,[h0])],[13,h0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYO894^8 : TPTP v8.1.0. Released v8.1.0.
% 0.03/0.13  % Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34  % Computer : n026.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 : Fri Jul  8 17:09:25 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.37  % SZS status Theorem
% 0.13/0.37  % Mode: mode213
% 0.13/0.37  % Inferences: 5
% 0.13/0.37  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------