%------------------------------------------------------------------------------
% File     : Lash---1.13
% Problem  : ITP001^1 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : lash -P picomus -M modes -p tstp -t %d %s

% Computer : n005.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 04:00:40 EDT 2023

% Result   : Theorem 0.20s 0.42s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
thf(ty_mono_2Ec_2Ebool_2ET,type,
    mono_2Ec_2Ebool_2ET: $o ).

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

thf(sP2,plain,
    ( sP2
  <=> mono_2Ec_2Ebool_2ET ),
    introduced(definition,[new_symbols(definition,[sP2])]) ).

thf(thm_2Ebool_2ETRUTH,conjecture,
    sP2 ).

thf(h0,negated_conjecture,
    ~ sP2,
    inference(assume_negation,[status(cth)],[thm_2Ebool_2ETRUTH]) ).

thf(h1,assumption,
    sP2,
    introduced(assumption,[]) ).

thf(h2,assumption,
    ~ sP1,
    introduced(assumption,[]) ).

thf(h3,assumption,
    ~ sP2,
    introduced(assumption,[]) ).

thf(h4,assumption,
    sP1,
    introduced(assumption,[]) ).

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

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

thf(3,plain,
    $false,
    inference(prop_unsat,[status(thm),assumptions([h3,h4,h0])],[2,h4]) ).

thf(thm_2Ebool_2ET__DEF,axiom,
    ( sP2 = ~ sP1 ) ).

thf(4,plain,
    $false,
    inference(tab_bq,[status(thm),assumptions([h0]),tab_bq(discharge,[h1,h2]),tab_bq(discharge,[h3,h4])],[thm_2Ebool_2ET__DEF,1,3,h1,h2,h3,h4]) ).

thf(0,theorem,
    sP2,
    inference(contra,[status(thm),contra(discharge,[h0])],[4,h0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem  : ITP001^1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.07/0.15  % Command  : lash -P picomus -M modes -p tstp -t %d %s
% 0.13/0.36  % Computer : n005.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit : 300
% 0.13/0.36  % WCLimit  : 300
% 0.13/0.36  % DateTime : Sun Aug 27 16:10:08 EDT 2023
% 0.13/0.36  % CPUTime  : 
% 0.20/0.42  % SZS status Theorem
% 0.20/0.42  % Mode: cade22grackle2xfee4
% 0.20/0.42  % Steps: 1
% 0.20/0.42  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------