%------------------------------------------------------------------------------
% File     : Satallax---3.5
% Problem  : PUZ082^1 : TPTP v8.1.0. Released v3.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satallax -E eprover-ho -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  : 600s
% DateTime : Mon Jul 18 18:24:41 EDT 2022

% Result   : Theorem 0.15s 0.32s
% Output   : Proof 0.15s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
thf(ty_peter,type,
    peter: $i ).

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

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

thf(sP2,plain,
    ( sP2
  <=> ( sP1
     => ~ ! [X1: $o] :
            ( ( says @ peter @ X1 )
           => ~ X1 ) ) ),
    introduced(definition,[new_symbols(definition,[sP2])]) ).

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

thf(thm,conjecture,
    ~ sP3 ).

thf(h0,negated_conjecture,
    sP3,
    inference(assume_negation,[status(cth)],[thm]) ).

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

thf(2,plain,
    ( ~ sP2
    | ~ sP1
    | ~ sP3 ),
    inference(prop_rule,[status(thm)],]) ).

thf(ax1,axiom,
    sP1 ).

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

thf(0,theorem,
    ~ sP3,
    inference(contra,[status(thm),contra(discharge,[h0])],[3,h0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem  : PUZ082^1 : TPTP v8.1.0. Released v3.6.0.
% 0.06/0.11  % Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.10/0.30  % Computer : n032.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 600
% 0.10/0.30  % DateTime : Sun May 29 01:39:56 EDT 2022
% 0.10/0.30  % CPUTime  : 
% 0.15/0.32  % SZS status Theorem
% 0.15/0.32  % Mode: mode213
% 0.15/0.32  % Inferences: 1
% 0.15/0.32  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------