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Satallax---3.5.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : Satallax---3.5
% Problem  : SYO015^1 : 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 : n018.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 12:41:46 PM UTC 2025

% Result   : Theorem 0.13s 0.36s
% Output   : Proof 0.13s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

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

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

thf(conj,conjecture,
    ( sP1 != ( ~ sP1 ) ) ).

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

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

thf(h2,assumption,
    ~ sP1,
    introduced(assumption,[]) ).

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

thf(2,plain,
    $false,
    inference(tab_conflict,[status(thm),assumptions([h2,h1,h0])],[h1,h2]) ).

thf(3,plain,
    $false,
    inference(tab_bq,[status(thm),assumptions([h0]),tab_bq(discharge,[h1,h2]),tab_bq(discharge,[h2,h1])],[h0,1,2,h1,h2,h2,h1]) ).

thf(0,theorem,
    ( sP1 != ( ~ sP1 ) ),
    inference(contra,[status(thm),contra(discharge,[h0])],[3,h0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SYO015^1 : TPTP v9.2.1. Bugfixed v9.2.1.
% 0.07/0.13  % Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34  % Computer : n018.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Fri Oct 10 15:50:23 EDT 2025
% 0.13/0.35  % CPUTime  : 
% 0.13/0.36  % SZS status Theorem
% 0.13/0.36  % Mode: mode213
% 0.13/0.36  % Inferences: 0
% 0.13/0.36  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------