%------------------------------------------------------------------------------
% File     : Satallax---3.5
% Problem  : SEV012^5 : 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 : n020.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 18:04:26 EDT 2022

% Result   : Theorem 0.12s 0.34s
% Output   : Proof 0.12s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
thf(ty_eigen__2,type,
    eigen__2: $o ).

thf(ty_eigen__1,type,
    eigen__1: $o ).

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

thf(ty_eigen__4,type,
    eigen__4: $o ).

thf(ty_eigen__3,type,
    eigen__3: $o ).

thf(cTHM519_pme,conjecture,
    ~ ( ~ ( ! [X1: $o,X2: $o] :
              ( ~ $false
             => ~ $false )
         => ~ ! [X1: $o,X2: $o,X3: $o] :
                ( ~ $false
               => ~ $false ) )
     => ( ( ^ [X1: $o,X2: $o] : ~ $false )
       != ( ^ [X1: $o,X2: $o] : ~ $false ) ) ) ).

thf(h0,negated_conjecture,
    ( ~ ( ! [X1: $o,X2: $o] :
            ( ~ $false
           => ~ $false )
       => ~ ! [X1: $o,X2: $o,X3: $o] :
              ( ~ $false
             => ~ $false ) )
   => ( ( ^ [X1: $o,X2: $o] : ~ $false )
     != ( ^ [X1: $o,X2: $o] : ~ $false ) ) ),
    inference(assume_negation,[status(cth)],[cTHM519_pme]) ).

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

thf(h2,assumption,
    ( ^ [X1: $o,X2: $o] : ~ $false )
 != ( ^ [X1: $o,X2: $o] : ~ $false ),
    introduced(assumption,[]) ).

thf(h3,assumption,
    ~ ! [X1: $o,X2: $o] :
        ( ~ $false
       => ~ $false ),
    introduced(assumption,[]) ).

thf(h4,assumption,
    ~ ! [X1: $o,X2: $o,X3: $o] :
        ( ~ $false
       => ~ $false ),
    introduced(assumption,[]) ).

thf(h5,assumption,
    ~ ! [X1: $o] :
        ( ~ $false
       => ~ $false ),
    introduced(assumption,[]) ).

thf(h6,assumption,
    ~ ( ~ $false
     => ~ $false ),
    introduced(assumption,[]) ).

thf(h7,assumption,
    ~ $false,
    introduced(assumption,[]) ).

thf(h8,assumption,
    $false,
    introduced(assumption,[]) ).

thf(1,plain,
    $false,
    inference(tab_false,[status(thm),assumptions([h7,h8,h6,h5,h3,h1,h0])],[h8]) ).

thf(2,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h6,h5,h3,h1,h0]),tab_negimp(discharge,[h7,h8])],[h6,1,h7,h8]) ).

thf(3,plain,
    $false,
    inference(tab_negall,[status(thm),assumptions([h5,h3,h1,h0]),tab_negall(discharge,[h6]),tab_negall(eigenvar,eigen__1)],[h5,2,h6]) ).

thf(4,plain,
    $false,
    inference(tab_negall,[status(thm),assumptions([h3,h1,h0]),tab_negall(discharge,[h5]),tab_negall(eigenvar,eigen__0)],[h3,3,h5]) ).

thf(5,plain,
    $false,
    inference(tab_false,[status(thm),assumptions([h7,h8,h6,h5,h3,h4,h1,h0])],[h8]) ).

thf(6,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h6,h5,h3,h4,h1,h0]),tab_negimp(discharge,[h7,h8])],[h6,5,h7,h8]) ).

thf(7,plain,
    $false,
    inference(tab_negall,[status(thm),assumptions([h5,h3,h4,h1,h0]),tab_negall(discharge,[h6]),tab_negall(eigenvar,eigen__4)],[h5,6,h6]) ).

thf(8,plain,
    $false,
    inference(tab_negall,[status(thm),assumptions([h3,h4,h1,h0]),tab_negall(discharge,[h5]),tab_negall(eigenvar,eigen__3)],[h3,7,h5]) ).

thf(9,plain,
    $false,
    inference(tab_negall,[status(thm),assumptions([h4,h1,h0]),tab_negall(discharge,[h3]),tab_negall(eigenvar,eigen__2)],[h4,8,h3]) ).

thf(10,plain,
    $false,
    inference(tab_imp,[status(thm),assumptions([h1,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h4])],[h1,4,9,h3,h4]) ).

thf(11,plain,
    $false,
    inference(tab_negrefl,[status(thm),assumptions([h2,h0])],[h2]) ).

thf(12,plain,
    $false,
    inference(tab_imp,[status(thm),assumptions([h0]),tab_imp(discharge,[h1]),tab_imp(discharge,[h2])],[h0,10,11,h1,h2]) ).

thf(0,theorem,
    ~ ( ~ ( ! [X1: $o,X2: $o] :
              ( ~ $false
             => ~ $false )
         => ~ ! [X1: $o,X2: $o,X3: $o] :
                ( ~ $false
               => ~ $false ) )
     => ( ( ^ [X1: $o,X2: $o] : ~ $false )
       != ( ^ [X1: $o,X2: $o] : ~ $false ) ) ),
    inference(contra,[status(thm),contra(discharge,[h0])],[12,h0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SEV012^5 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12  % Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.32  % Computer : n020.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % 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 : Tue Jun 28 17:34:16 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  % SZS status Theorem
% 0.12/0.34  % Mode: mode213
% 0.12/0.34  % Inferences: 0
% 0.12/0.34  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------