%------------------------------------------------------------------------------
% File     : Satallax---3.5
% Problem  : SYO234^5 : 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 : n024.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 19:31:01 EDT 2022

% Result   : Theorem 0.19s 0.36s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
thf(ty_d,type,
    d: $tType ).

thf(ty_c,type,
    c: $tType ).

thf(ty_cB,type,
    cB: d > c > $o ).

thf(ty_cA,type,
    cA: c > d > $o ).

thf(sP1,plain,
    ( sP1
  <=> ( ( ^ [X1: c,X2: d] :
            ( ~ ( cA @ X1 @ X2 )
           => ( cB @ X2 @ X1 ) ) )
      = ( ^ [X1: c,X2: d] :
            ( ~ ( cA @ X1 @ X2 )
           => ( cB @ X2 @ X1 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP1])]) ).

thf(sP2,plain,
    ( sP2
  <=> ! [X1: c > d > $o] :
        ( X1
       != ( ^ [X2: c,X3: d] :
              ( ~ ( cA @ X2 @ X3 )
             => ( cB @ X3 @ X2 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP2])]) ).

thf(cSV4,conjecture,
    ~ sP2 ).

thf(h0,negated_conjecture,
    sP2,
    inference(assume_negation,[status(cth)],[cSV4]) ).

thf(1,plain,
    sP1,
    inference(prop_rule,[status(thm)],]) ).

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

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

thf(0,theorem,
    ~ sP2,
    inference(contra,[status(thm),contra(discharge,[h0])],[3,h0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYO234^5 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33  % Computer : n024.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jul  9 12:31:58 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.36  % SZS status Theorem
% 0.19/0.36  % Mode: mode213
% 0.19/0.36  % Inferences: 120
% 0.19/0.36  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------