%------------------------------------------------------------------------------
% File     : Satallax---3.5
% Problem  : SYO012^1 : TPTP v8.1.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s

% Computer : n014.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 : Thu Jul 21 19:29:31 EDT 2022

% Result   : Theorem 0.13s 0.36s
% Output   : Proof 0.13s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
thf(ty_a,type,
    a: $o ).

thf(ty_p,type,
    p: $o > $o ).

thf(ty_b,type,
    b: $o ).

thf(sP1,plain,
    ( sP1
  <=> ( p
      @ ~ ( a
         => ~ b ) ) ),
    introduced(definition,[new_symbols(definition,[sP1])]) ).

thf(sP2,plain,
    ( sP2
  <=> ( a
     => ~ b ) ),
    introduced(definition,[new_symbols(definition,[sP2])]) ).

thf(sP3,plain,
    ( sP3
  <=> b ),
    introduced(definition,[new_symbols(definition,[sP3])]) ).

thf(sP4,plain,
    ( sP4
  <=> ( sP3
     => ~ a ) ),
    introduced(definition,[new_symbols(definition,[sP4])]) ).

thf(sP5,plain,
    ( sP5
  <=> ( ( ~ sP2 )
      = ( ~ sP4 ) ) ),
    introduced(definition,[new_symbols(definition,[sP5])]) ).

thf(sP6,plain,
    ( sP6
  <=> ( p @ ~ sP4 ) ),
    introduced(definition,[new_symbols(definition,[sP6])]) ).

thf(sP7,plain,
    ( sP7
  <=> a ),
    introduced(definition,[new_symbols(definition,[sP7])]) ).

thf(conj,conjecture,
    ( sP1
   => sP6 ) ).

thf(h0,negated_conjecture,
    ~ ( sP1
     => sP6 ),
    inference(assume_negation,[status(cth)],[conj]) ).

thf(h1,assumption,
    sP1,
    introduced(assumption,[]) ).

thf(h2,assumption,
    ~ sP6,
    introduced(assumption,[]) ).

thf(1,plain,
    ( ~ sP4
    | ~ sP3
    | ~ sP7 ),
    inference(prop_rule,[status(thm)],]) ).

thf(2,plain,
    ( ~ sP2
    | ~ sP7
    | ~ sP3 ),
    inference(prop_rule,[status(thm)],]) ).

thf(3,plain,
    ( sP4
    | sP7 ),
    inference(prop_rule,[status(thm)],]) ).

thf(4,plain,
    ( sP4
    | sP3 ),
    inference(prop_rule,[status(thm)],]) ).

thf(5,plain,
    ( sP2
    | sP3 ),
    inference(prop_rule,[status(thm)],]) ).

thf(6,plain,
    ( sP2
    | sP7 ),
    inference(prop_rule,[status(thm)],]) ).

thf(7,plain,
    ( sP5
    | sP2
    | sP4 ),
    inference(prop_rule,[status(thm)],]) ).

thf(8,plain,
    ( sP5
    | ~ sP2
    | ~ sP4 ),
    inference(prop_rule,[status(thm)],]) ).

thf(9,plain,
    ( ~ sP1
    | sP6
    | ~ sP5 ),
    inference(mating_rule,[status(thm)],]) ).

thf(10,plain,
    $false,
    inference(prop_unsat,[status(thm),assumptions([h1,h2,h0])],[1,2,3,4,5,6,7,8,9,h1,h2]) ).

thf(11,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,10,h1,h2]) ).

thf(0,theorem,
    ( sP1
   => sP6 ),
    inference(contra,[status(thm),contra(discharge,[h0])],[11,h0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYO012^1 : TPTP v8.1.0. Released v3.7.0.
% 0.07/0.13  % Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34  % Computer : n014.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  : 600
% 0.13/0.34  % DateTime : Fri Jul  8 18:00:21 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.36  % SZS status Theorem
% 0.13/0.36  % Mode: mode213
% 0.13/0.36  % Inferences: 14
% 0.13/0.36  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------