%------------------------------------------------------------------------------
% File     : Lash---1.13
% Problem  : SEV256^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : lash -P picomus -M modes -p tstp -t %d %s

% Computer : n032.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  : 300s
% DateTime : Thu Aug 31 19:33:08 EDT 2023

% Result   : Theorem 20.12s 20.39s
% Output   : Proof 20.12s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

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

thf(ty_cOPEN,type,
    cOPEN: ( a > $o ) > $o ).

thf(sP1,plain,
    ( sP1
  <=> ! [X1: ( a > $o ) > $o] :
        ( ! [X2: a > $o] :
            ( ( X1 @ X2 )
           => ( cOPEN @ X2 ) )
       => ( cOPEN
          @ ^ [X2: a] :
              ~ ! [X3: a > $o] :
                  ( ( X1 @ X3 )
                 => ~ ( X3 @ X2 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP1])]) ).

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

thf(cTHM625A_pme,conjecture,
    ( sP1
   => sP2 ) ).

thf(h0,negated_conjecture,
    ~ ( sP1
     => sP2 ),
    inference(assume_negation,[status(cth)],[cTHM625A_pme]) ).

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

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

thf(1,plain,
    ( ~ sP1
    | sP2 ),
    inference(all_rule,[status(thm)],]) ).

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

thf(3,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,2,h1,h2]) ).

thf(0,theorem,
    ( sP1
   => sP2 ),
    inference(contra,[status(thm),contra(discharge,[h0])],[3,h0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SEV256^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.09  % Command  : lash -P picomus -M modes -p tstp -t %d %s
% 0.09/0.28  % Computer : n032.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit : 300
% 0.09/0.28  % WCLimit  : 300
% 0.09/0.28  % DateTime : Thu Aug 24 02:42:56 EDT 2023
% 0.09/0.28  % CPUTime  : 
% 20.12/20.39  % SZS status Theorem
% 20.12/20.39  % Mode: cade22grackle2x798d
% 20.12/20.39  % Steps: 14
% 20.12/20.39  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------