%------------------------------------------------------------------------------
% File     : Lash---1.13
% Problem  : SEV088^5 : 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 : 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  : 300s
% DateTime : Thu Aug 31 19:32:35 EDT 2023

% Result   : Theorem 0.19s 0.35s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
thf(sP1,plain,
    ( sP1
  <=> $false ),
    introduced(definition,[new_symbols(definition,[sP1])]) ).

thf(sP2,plain,
    ( sP2
  <=> ! [X1: ( $i > $o ) > ( $i > $o ) > $i > $o,X2: ( $i > $o ) > ( $i > $o ) > $i > $o] :
        ( ! [X3: $i > $o,X4: $i > $o,X5: $i > $o] :
            ( ~ ( ! [X6: $i] :
                    ( ~ ( X2 @ X3 @ X4 @ X6 )
                   => ( X1 @ X3 @ X4 @ X6 ) )
               => ~ ! [X6: $i] :
                      ( ~ ( X2 @ X4 @ X5 @ X6 )
                     => ( X1 @ X4 @ X5 @ X6 ) ) )
           => ! [X6: $i] :
                ( ~ ( X2 @ X3 @ X5 @ X6 )
               => ( X1 @ X3 @ X5 @ X6 ) ) )
       => ~ ! [X3: $i > $o,X4: $i] :
              ( ~ ( X2 @ X3 @ X3 @ X4 )
             => ( X1 @ X3 @ X3 @ X4 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP2])]) ).

thf(cTHM120G_pme,conjecture,
    ~ sP2 ).

thf(h0,negated_conjecture,
    sP2,
    inference(assume_negation,[status(cth)],[cTHM120G_pme]) ).

thf(1,plain,
    ~ sP1,
    inference(prop_rule,[status(thm)],]) ).

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

thf(3,plain,
    $false,
    inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,h0]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEV088^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12  % Command  : lash -P picomus -M modes -p tstp -t %d %s
% 0.12/0.34  % Computer : n026.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  : 300
% 0.12/0.34  % DateTime : Thu Aug 24 04:15:16 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.35  % SZS status Theorem
% 0.19/0.35  % Mode: cade22grackle2xfee4
% 0.19/0.35  % Steps: 7
% 0.19/0.35  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------