%------------------------------------------------------------------------------
% File     : Lash---1.13
% Problem  : ITP128^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : lash -P picomus -M modes -p tstp -t %d %s

% Computer : n027.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 : Thu Aug 31 04:02:20 EDT 2023

% Result   : Theorem 0.19s 0.41s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
thf(ty_finite746615251te_a_c,type,
    finite746615251te_a_c: ( a > c > c ) > $o ).

thf(ty_f1,type,
    f1: a > c > c ).

thf(sP1,plain,
    ( sP1
  <=> ( finite746615251te_a_c @ f1 ) ),
    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_0_assms_I2_J,axiom,
    sP1 ).

thf(1,plain,
    $false,
    inference(tab_conflict,[status(thm),assumptions([h0])],[fact_0_assms_I2_J,h0]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ITP128^1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.13  % Command  : lash -P picomus -M modes -p tstp -t %d %s
% 0.12/0.34  % Computer : n027.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  : 300
% 0.12/0.34  % DateTime : Sun Aug 27 11:20:21 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.41  % SZS status Theorem
% 0.19/0.41  % Mode: cade22sinegrackle2x6978
% 0.19/0.41  % Steps: 0
% 0.19/0.41  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------