%------------------------------------------------------------------------------
% File     : Lash---1.13
% Problem  : PUZ083^1 : TPTP v8.1.2. Released v3.6.0.
% 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 13:21:48 EDT 2023

% Result   : Theorem 0.16s 0.35s
% Output   : Proof 0.16s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
thf(ty_says,type,
    says: $i > $o > $o ).

thf(ty_peter,type,
    peter: $i ).

thf(sP1,plain,
    ( sP1
  <=> ! [X1: $o] :
        ( ( says @ peter @ X1 )
       => X1 ) ),
    introduced(definition,[new_symbols(definition,[sP1])]) ).

thf(sP2,plain,
    ( sP2
  <=> ( ( ! [X1: $o] :
            ( ( says @ peter @ X1 )
           => ~ X1 ) )
      = ~ $false ) ),
    introduced(definition,[new_symbols(definition,[sP2])]) ).

thf(sP3,plain,
    ( sP3
  <=> ! [X1: $o] :
        ( ( says @ peter @ X1 )
       => ~ X1 ) ),
    introduced(definition,[new_symbols(definition,[sP3])]) ).

thf(sP4,plain,
    ( sP4
  <=> ( says @ peter @ ~ $false ) ),
    introduced(definition,[new_symbols(definition,[sP4])]) ).

thf(sP5,plain,
    ( sP5
  <=> $false ),
    introduced(definition,[new_symbols(definition,[sP5])]) ).

thf(sP6,plain,
    ( sP6
  <=> ( says @ peter @ sP3 ) ),
    introduced(definition,[new_symbols(definition,[sP6])]) ).

thf(sP7,plain,
    ( sP7
  <=> ( says @ peter @ sP5 ) ),
    introduced(definition,[new_symbols(definition,[sP7])]) ).

thf(thm,conjecture,
    ~ sP1 ).

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

thf(1,plain,
    ( sP2
    | ~ sP3
    | sP5 ),
    inference(prop_rule,[status(thm)],]) ).

thf(2,plain,
    ( ~ sP6
    | sP4
    | ~ sP2
    | sP5 ),
    inference(mating_rule,[status(thm)],]) ).

thf(3,plain,
    ( ~ sP3
    | ~ sP4 ),
    inference(all_rule,[status(thm)],]) ).

thf(4,plain,
    ~ sP5,
    inference(prop_rule,[status(thm)],]) ).

thf(5,plain,
    ( ~ sP6
    | sP7
    | sP3
    | sP5 ),
    inference(mating_rule,[status(thm)],]) ).

thf(6,plain,
    ( ~ sP1
    | ~ sP7 ),
    inference(all_rule,[status(thm)],]) ).

thf(ax1,axiom,
    sP6 ).

thf(7,plain,
    $false,
    inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,3,4,5,6,h0,ax1]) ).

thf(0,theorem,
    ~ sP1,
    inference(contra,[status(thm),contra(discharge,[h0])],[7,h0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : PUZ083^1 : TPTP v8.1.2. Released v3.6.0.
% 0.00/0.11  % Command  : lash -P picomus -M modes -p tstp -t %d %s
% 0.11/0.31  % Computer : n032.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 300
% 0.11/0.31  % DateTime : Sat Aug 26 22:51:14 EDT 2023
% 0.11/0.31  % CPUTime  : 
% 0.16/0.35  % SZS status Theorem
% 0.16/0.35  % Mode: cade22grackle2xfee4
% 0.16/0.35  % Steps: 10
% 0.16/0.35  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------