%------------------------------------------------------------------------------
% File     : Lash---1.13
% Problem  : SEV272^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : lash -P picomus -M modes -p tstp -t %d %s

% Computer : n024.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 19:33:11 EDT 2023

% Result   : Theorem 0.20s 0.38s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

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

thf(def_cSUCC,definition,
    ( cSUCC
    = ( ^ [X1: ( $i > $o ) > $o,X2: $i > $o] :
        ? [X3: $i] :
          ( ( X2 @ X3 )
          & ( X1
            @ ^ [X4: $i] :
                ( ( (~) @ ( X4 = X3 ) )
                & ( X2 @ X4 ) ) ) ) ) ) ).

thf(def_cZERO,definition,
    ( cZERO
    = ( ^ [X1: $i > $o] :
          ( (~)
          @ ? [X2: $i] : ( X1 @ X2 ) ) ) ) ).

thf(cX6007A_pme,conjecture,
    ~ sP1 ).

thf(h0,negated_conjecture,
    sP1,
    inference(assume_negation,[status(cth)],[cX6007A_pme]) ).

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

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

thf(0,theorem,
    ~ sP1,
    inference(contra,[status(thm),contra(discharge,[h0])],[2,h0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SEV272^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% 0.12/0.13  % Command  : lash -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34  % Computer : n024.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  : 300
% 0.13/0.34  % DateTime : Thu Aug 24 03:48:24 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.38  % SZS status Theorem
% 0.20/0.38  % Mode: cade22grackle2xfee4
% 0.20/0.38  % Steps: 1
% 0.20/0.38  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------