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Satallax---3.5.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : Satallax---3.5
% Problem  : ITP222^3 : TPTP v9.2.1. Bugfixed v9.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s

% Computer : n028.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  : 300s
% DateTime : Tue Oct 14 12:39:45 PM UTC 2025

% Result   : Theorem 1.17s 1.64s
% Output   : Proof 1.17s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
thf(ty_extended_enat,type,
    extended_enat: $tType ).

thf(ty_vEBT_VEBT,type,
    vEBT_VEBT: $tType ).

thf(ty_summarya,type,
    summarya: vEBT_VEBT ).

thf(ty_vEBT_VEBT_elim_dead,type,
    vEBT_VEBT_elim_dead: vEBT_VEBT > extended_enat > vEBT_VEBT ).

thf(ty_extend5688581933313929465d_enat,type,
    extend5688581933313929465d_enat: extended_enat ).

thf(sP1,plain,
    ( sP1
  <=> ( ( vEBT_VEBT_elim_dead @ summarya @ extend5688581933313929465d_enat )
      = summarya ) ),
    introduced(definition,[new_symbols(definition,[sP1])]) ).

thf(conj_0,conjecture,
    sP1 ).

thf(h0,negated_conjecture,
    ~ sP1,
    inference(assume_negation,[status(cth)],[conj_0]) ).

thf(fact_1__C2_OIH_C_I2_J,axiom,
    sP1 ).

thf(1,plain,
    $false,
    inference(tab_conflict,[status(thm),assumptions([h0])],[fact_1__C2_OIH_C_I2_J,h0]) ).

thf(0,theorem,
    sP1,
    inference(contra,[status(thm),contra(discharge,[h0])],[1,h0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : ITP222^3 : TPTP v9.2.1. Bugfixed v9.2.1.
% 0.08/0.14  % Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.14/0.36  % Computer : n028.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Fri Oct 10 14:07:38 EDT 2025
% 0.14/0.36  % CPUTime  : 
% 1.17/1.64  % SZS status Theorem
% 1.17/1.64  % Mode: mode507:USE_SINE=true:SINE_TOLERANCE=3.0:SINE_GENERALITY_THRESHOLD=0:SINE_RANK_LIMIT=1.:SINE_DEPTH=1
% 1.17/1.64  % Inferences: 0
% 1.17/1.64  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------