%------------------------------------------------------------------------------
% File     : Satallax---3.5
% Problem  : ITP001^4 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s

% Computer : n019.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 : Sun Jul 17 00:28:12 EDT 2022

% Result   : Theorem 0.13s 0.38s
% Output   : Proof 0.13s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
thf(ty_eigen__0,type,
    eigen__0: $o ).

thf(ty_mono_2Ec_2Ebool_2ET,type,
    mono_2Ec_2Ebool_2ET: $o ).

thf(sP1,plain,
    ( sP1
  <=> mono_2Ec_2Ebool_2ET ),
    introduced(definition,[new_symbols(definition,[sP1])]) ).

thf(thm_2Ebool_2ETRUTH,conjecture,
    sP1 ).

thf(h0,negated_conjecture,
    ~ sP1,
    inference(assume_negation,[status(cth)],[thm_2Ebool_2ETRUTH]) ).

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

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

thf(h3,assumption,
    ~ sP1,
    introduced(assumption,[]) ).

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

thf(1,plain,
    $false,
    inference(tab_conflict,[status(thm),assumptions([h1,h2,h0])],[h1,h0]) ).

thf(h5,assumption,
    eigen__0 != eigen__0,
    introduced(assumption,[]) ).

thf(2,plain,
    $false,
    inference(tab_negrefl,[status(thm),assumptions([h5,h3,h4,h0])],[h5]) ).

thf(3,plain,
    $false,
    inference(tab_negall,[status(thm),assumptions([h3,h4,h0]),tab_negall(discharge,[h5]),tab_negall(eigenvar,eigen__0)],[h4,2,h5]) ).

thf(thm_2Ebool_2ET__DEF,axiom,
    ( sP1
    = ( ! [X1: $o] : ( X1 = X1 ) ) ) ).

thf(4,plain,
    $false,
    inference(tab_bq,[status(thm),assumptions([h0]),tab_bq(discharge,[h1,h2]),tab_bq(discharge,[h3,h4])],[thm_2Ebool_2ET__DEF,1,3,h1,h2,h3,h4]) ).

thf(0,theorem,
    sP1,
    inference(contra,[status(thm),contra(discharge,[h0])],[4,h0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : ITP001^4 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.07/0.13  % Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.35  % Computer : n019.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Fri Jun  3 10:28:40 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.38  % SZS status Theorem
% 0.13/0.38  % Mode: mode507:USE_SINE=true:SINE_TOLERANCE=3.0:SINE_GENERALITY_THRESHOLD=0:SINE_RANK_LIMIT=1.:SINE_DEPTH=1
% 0.13/0.38  % Inferences: 0
% 0.13/0.38  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------