%------------------------------------------------------------------------------
% File     : Satallax---3.5
% Problem  : SEV134^5 : 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 : n009.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 : Tue Jul 19 18:05:01 EDT 2022

% Result   : Theorem 0.12s 0.35s
% Output   : Proof 0.12s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

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

thf(ty_eigen__2,type,
    eigen__2: a > $o ).

thf(ty_eigen__1,type,
    eigen__1: a ).

thf(ty_eigen__0,type,
    eigen__0: a > a > $o ).

thf(sP1,plain,
    ( sP1
  <=> ( eigen__2 @ eigen__1 ) ),
    introduced(definition,[new_symbols(definition,[sP1])]) ).

thf(cTHM201_pme,conjecture,
    ! [X1: a > a > $o,X2: a,X3: a > $o] :
      ( ! [X4: a,X5: a] :
          ( ~ ( ( X1 @ X4 @ X5 )
             => ~ ( X3 @ X4 ) )
         => ( X3 @ X5 ) )
     => ( ( X3 @ X2 )
       => ( X3 @ X2 ) ) ) ).

thf(h0,negated_conjecture,
    ~ ! [X1: a > a > $o,X2: a,X3: a > $o] :
        ( ! [X4: a,X5: a] :
            ( ~ ( ( X1 @ X4 @ X5 )
               => ~ ( X3 @ X4 ) )
           => ( X3 @ X5 ) )
       => ( ( X3 @ X2 )
         => ( X3 @ X2 ) ) ),
    inference(assume_negation,[status(cth)],[cTHM201_pme]) ).

thf(h1,assumption,
    ~ ! [X1: a,X2: a > $o] :
        ( ! [X3: a,X4: a] :
            ( ~ ( ( eigen__0 @ X3 @ X4 )
               => ~ ( X2 @ X3 ) )
           => ( X2 @ X4 ) )
       => ( ( X2 @ X1 )
         => ( X2 @ X1 ) ) ),
    introduced(assumption,[]) ).

thf(h2,assumption,
    ~ ! [X1: a > $o] :
        ( ! [X2: a,X3: a] :
            ( ~ ( ( eigen__0 @ X2 @ X3 )
               => ~ ( X1 @ X2 ) )
           => ( X1 @ X3 ) )
       => ( ( X1 @ eigen__1 )
         => ( X1 @ eigen__1 ) ) ),
    introduced(assumption,[]) ).

thf(h3,assumption,
    ~ ( ! [X1: a,X2: a] :
          ( ~ ( ( eigen__0 @ X1 @ X2 )
             => ~ ( eigen__2 @ X1 ) )
         => ( eigen__2 @ X2 ) )
     => ( sP1
       => sP1 ) ),
    introduced(assumption,[]) ).

thf(h4,assumption,
    ! [X1: a,X2: a] :
      ( ~ ( ( eigen__0 @ X1 @ X2 )
         => ~ ( eigen__2 @ X1 ) )
     => ( eigen__2 @ X2 ) ),
    introduced(assumption,[]) ).

thf(h5,assumption,
    ~ ( sP1
     => sP1 ),
    introduced(assumption,[]) ).

thf(h6,assumption,
    sP1,
    introduced(assumption,[]) ).

thf(h7,assumption,
    ~ sP1,
    introduced(assumption,[]) ).

thf(1,plain,
    $false,
    inference(tab_conflict,[status(thm),assumptions([h6,h7,h4,h5,h3,h2,h1,h0])],[h6,h7]) ).

thf(2,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h4,h5,h3,h2,h1,h0]),tab_negimp(discharge,[h6,h7])],[h5,1,h6,h7]) ).

thf(3,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h3,h2,h1,h0]),tab_negimp(discharge,[h4,h5])],[h3,2,h4,h5]) ).

thf(4,plain,
    $false,
    inference(tab_negall,[status(thm),assumptions([h2,h1,h0]),tab_negall(discharge,[h3]),tab_negall(eigenvar,eigen__2)],[h2,3,h3]) ).

thf(5,plain,
    $false,
    inference(tab_negall,[status(thm),assumptions([h1,h0]),tab_negall(discharge,[h2]),tab_negall(eigenvar,eigen__1)],[h1,4,h2]) ).

thf(6,plain,
    $false,
    inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[h0,5,h1]) ).

thf(0,theorem,
    ! [X1: a > a > $o,X2: a,X3: a > $o] :
      ( ! [X4: a,X5: a] :
          ( ~ ( ( X1 @ X4 @ X5 )
             => ~ ( X3 @ X4 ) )
         => ( X3 @ X5 ) )
     => ( ( X3 @ X2 )
       => ( X3 @ X2 ) ) ),
    inference(contra,[status(thm),contra(discharge,[h0])],[6,h0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEV134^5 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.34  % Computer : n009.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue Jun 28 07:51:52 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  % SZS status Theorem
% 0.12/0.35  % Mode: mode213
% 0.12/0.35  % Inferences: 0
% 0.12/0.35  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------