%------------------------------------------------------------------------------
% File     : Satallax---3.5
% Problem  : SYO303^5 : TPTP v8.1.0. Released v4.0.0.
% 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 19:31:21 EDT 2022

% Result   : Theorem 1.99s 2.22s
% Output   : Proof 1.99s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

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

thf(ty_cS,type,
    cS: $i > $o ).

thf(ty_cT,type,
    cT: $i > $o ).

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

thf(ty_c0,type,
    c0: $i ).

thf(sP1,plain,
    ( sP1
  <=> ! [X1: $i > $o] :
        ( ( X1 @ c0 )
       => ( !! @ X1 ) ) ),
    introduced(definition,[new_symbols(definition,[sP1])]) ).

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

thf(sP3,plain,
    ( sP3
  <=> ( ( cT @ c0 )
     => ( !! @ cT ) ) ),
    introduced(definition,[new_symbols(definition,[sP3])]) ).

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

thf(sP5,plain,
    ( sP5
  <=> ( cT @ a ) ),
    introduced(definition,[new_symbols(definition,[sP5])]) ).

thf(sP6,plain,
    ( sP6
  <=> ( !! @ cS ) ),
    introduced(definition,[new_symbols(definition,[sP6])]) ).

thf(sP7,plain,
    ( sP7
  <=> ( ( cS @ c0 )
     => sP6 ) ),
    introduced(definition,[new_symbols(definition,[sP7])]) ).

thf(sP8,plain,
    ( sP8
  <=> ( cT @ c0 ) ),
    introduced(definition,[new_symbols(definition,[sP8])]) ).

thf(sP9,plain,
    ( sP9
  <=> ( !! @ cT ) ),
    introduced(definition,[new_symbols(definition,[sP9])]) ).

thf(sP10,plain,
    ( sP10
  <=> ( ~ ( ( cS @ c0 )
         => ~ sP8 )
     => ~ sP4 ) ),
    introduced(definition,[new_symbols(definition,[sP10])]) ).

thf(sP11,plain,
    ( sP11
  <=> ( sP1
     => sP10 ) ),
    introduced(definition,[new_symbols(definition,[sP11])]) ).

thf(sP12,plain,
    ( sP12
  <=> ( cS @ c0 ) ),
    introduced(definition,[new_symbols(definition,[sP12])]) ).

thf(sP13,plain,
    ( sP13
  <=> ( sP12
     => ~ sP8 ) ),
    introduced(definition,[new_symbols(definition,[sP13])]) ).

thf(cMIN_QUAN_BUG,conjecture,
    sP11 ).

thf(h0,negated_conjecture,
    ~ sP11,
    inference(assume_negation,[status(cth)],[cMIN_QUAN_BUG]) ).

thf(1,plain,
    ( ~ sP6
    | sP2 ),
    inference(all_rule,[status(thm)],]) ).

thf(2,plain,
    ( ~ sP9
    | sP5 ),
    inference(all_rule,[status(thm)],]) ).

thf(3,plain,
    ( ~ sP3
    | ~ sP8
    | sP9 ),
    inference(prop_rule,[status(thm)],]) ).

thf(4,plain,
    ( ~ sP7
    | ~ sP12
    | sP6 ),
    inference(prop_rule,[status(thm)],]) ).

thf(5,plain,
    ( ~ sP1
    | sP7 ),
    inference(all_rule,[status(thm)],]) ).

thf(6,plain,
    ( ~ sP1
    | sP3 ),
    inference(all_rule,[status(thm)],]) ).

thf(7,plain,
    ( sP13
    | sP8 ),
    inference(prop_rule,[status(thm)],]) ).

thf(8,plain,
    ( sP13
    | sP12 ),
    inference(prop_rule,[status(thm)],]) ).

thf(9,plain,
    ( ~ sP4
    | ~ sP5
    | ~ sP2 ),
    inference(prop_rule,[status(thm)],]) ).

thf(10,plain,
    ( sP10
    | sP4 ),
    inference(prop_rule,[status(thm)],]) ).

thf(11,plain,
    ( sP10
    | ~ sP13 ),
    inference(prop_rule,[status(thm)],]) ).

thf(12,plain,
    ( sP11
    | ~ sP10 ),
    inference(prop_rule,[status(thm)],]) ).

thf(13,plain,
    ( sP11
    | sP1 ),
    inference(prop_rule,[status(thm)],]) ).

thf(14,plain,
    $false,
    inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,3,4,5,6,7,8,9,10,11,12,13,h0]) ).

thf(0,theorem,
    sP11,
    inference(contra,[status(thm),contra(discharge,[h0])],[14,h0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : SYO303^5 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.13  % 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 : Sat Jul  9 14:25:50 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 1.99/2.22  % SZS status Theorem
% 1.99/2.22  % Mode: mode506
% 1.99/2.22  % Inferences: 58343
% 1.99/2.22  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------