%------------------------------------------------------------------------------
% File     : Satallax---3.5
% Problem  : SYO893^11 : 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 : 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  : 600s
% DateTime : Thu Jul 21 19:35:13 EDT 2022

% Result   : Theorem 0.13s 0.36s
% 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_mrel,type,
    mrel: mworld > mworld > $o ).

thf(ty_mactual,type,
    mactual: mworld ).

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,
    ( ( ~ ! [X1: mworld] :
            ( ( mrel @ mactual @ X1 )
           => ~ ! [X2: mworld] :
                  ( ( mrel @ X1 @ X2 )
                 => ~ ! [X3: mworld] :
                        ( ( mrel @ X2 @ X3 )
                       => ( p @ X3 ) ) ) ) )
    = ( ~ ! [X1: mworld] :
            ( ( mrel @ mactual @ X1 )
           => ~ ! [X2: mworld] :
                  ( ( mrel @ X1 @ X2 )
                 => ~ ! [X3: mworld] :
                        ( ( mrel @ X2 @ X3 )
                       => ~ ~ ( p @ X3 ) ) ) ) ) ) ).

thf(h0,negated_conjecture,
    ( ~ ! [X1: mworld] :
          ( ( mrel @ mactual @ X1 )
         => ~ ! [X2: mworld] :
                ( ( mrel @ X1 @ X2 )
               => ~ ! [X3: mworld] :
                      ( ( mrel @ X2 @ X3 )
                     => ( p @ X3 ) ) ) ) )
 != ( ~ ! [X1: mworld] :
          ( ( mrel @ mactual @ X1 )
         => ~ ! [X2: mworld] :
                ( ( mrel @ X1 @ X2 )
               => ~ ! [X3: mworld] :
                      ( ( mrel @ X2 @ X3 )
                     => ( p @ X3 ) ) ) ) ),
    inference(assume_negation,[status(cth)],[con]) ).

thf(1,plain,
    $false,
    inference(tab_negrefl,[status(thm),assumptions([h0])],[h0]) ).

thf(0,theorem,
    ( ( ~ ! [X1: mworld] :
            ( ( mrel @ mactual @ X1 )
           => ~ ! [X2: mworld] :
                  ( ( mrel @ X1 @ X2 )
                 => ~ ! [X3: mworld] :
                        ( ( mrel @ X2 @ X3 )
                       => ( p @ X3 ) ) ) ) )
    = ( ~ ! [X1: mworld] :
            ( ( mrel @ mactual @ X1 )
           => ~ ! [X2: mworld] :
                  ( ( mrel @ X1 @ X2 )
                 => ~ ! [X3: mworld] :
                        ( ( mrel @ X2 @ X3 )
                       => ~ ~ ( p @ X3 ) ) ) ) ) ),
    inference(contra,[status(thm),contra(discharge,[h0])],[1,h0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SYO893^11 : TPTP v8.1.0. Released v8.1.0.
% 0.12/0.13  % Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 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  : 600
% 0.13/0.34  % DateTime : Sat Jul  9 15:19:25 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.36  % SZS status Theorem
% 0.13/0.36  % Mode: mode213
% 0.13/0.36  % Inferences: 0
% 0.13/0.36  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------