%------------------------------------------------------------------------------
% File     : Lash---1.13
% Problem  : ITP172^1 : 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 : n014.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 04:02:43 EDT 2023

% Result   : Theorem 0.19s 0.43s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
thf(ty_rObjec1413572695_j_k_l,type,
    rObjec1413572695_j_k_l: $tType ).

thf(ty_rObjec1617416918on_j_k,type,
    rObjec1617416918on_j_k: $tType ).

thf(ty_rObjec1303043984on_j_k,type,
    rObjec1303043984on_j_k: product_unit > rDocum326988203on_j_k > rObjec1617416918on_j_k ).

thf(ty_is_doc1417632087_j_k_l,type,
    is_doc1417632087_j_k_l: rObjec1413572695_j_k_l > $o ).

thf(ty_cast_D1252964113_h_i_l,type,
    cast_D1252964113_h_i_l: rObjec1617416918on_j_k > rObjec1413572695_j_k_l ).

thf(ty_product_Unity,type,
    product_Unity: product_unit ).

thf(ty_none_S1393028981on_j_k,type,
    none_S1393028981on_j_k: option2026120038on_j_k ).

thf(ty_cast_O1034441233_j_k_l,type,
    cast_O1034441233_j_k_l: rObjec1413572695_j_k_l > option841825948on_j_k ).

thf(ty_none_element_ptr_a,type,
    none_element_ptr_a: option_element_ptr_a ).

thf(ty_nil_no279930520tr_b_c,type,
    nil_no279930520tr_b_c: list_n282880152tr_b_c ).

thf(ty_rDocum427676485on_j_k,type,
    rDocum427676485on_j_k: product_unit > list_char > option_element_ptr_a > list_n282880152tr_b_c > option2026120038on_j_k > rDocum326988203on_j_k ).

thf(ty_nil_char,type,
    nil_char: list_char ).

thf(ty_none_R1587534007on_j_k,type,
    none_R1587534007on_j_k: option841825948on_j_k ).

thf(sP1,plain,
    ( sP1
  <=> ( ( cast_O1034441233_j_k_l @ ( cast_D1252964113_h_i_l @ ( rObjec1303043984on_j_k @ product_Unity @ ( rDocum427676485on_j_k @ product_Unity @ nil_char @ none_element_ptr_a @ nil_no279930520tr_b_c @ none_S1393028981on_j_k ) ) ) )
      = none_R1587534007on_j_k ) ),
    introduced(definition,[new_symbols(definition,[sP1])]) ).

thf(sP2,plain,
    ( sP2
  <=> ! [X1: rObjec1617416918on_j_k] :
        ( ( cast_D1252964113_h_i_l @ X1 )
       != ( cast_D1252964113_h_i_l @ ( rObjec1303043984on_j_k @ product_Unity @ ( rDocum427676485on_j_k @ product_Unity @ nil_char @ none_element_ptr_a @ nil_no279930520tr_b_c @ none_S1393028981on_j_k ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP2])]) ).

thf(sP3,plain,
    ( sP3
  <=> $false ),
    introduced(definition,[new_symbols(definition,[sP3])]) ).

thf(sP4,plain,
    ( sP4
  <=> ( ( is_doc1417632087_j_k_l @ ( cast_D1252964113_h_i_l @ ( rObjec1303043984on_j_k @ product_Unity @ ( rDocum427676485on_j_k @ product_Unity @ nil_char @ none_element_ptr_a @ nil_no279930520tr_b_c @ none_S1393028981on_j_k ) ) ) )
      = ~ sP1 ) ),
    introduced(definition,[new_symbols(definition,[sP4])]) ).

thf(sP5,plain,
    ( sP5
  <=> ( is_doc1417632087_j_k_l
      = ( ^ [X1: rObjec1413572695_j_k_l] :
            ( ( cast_O1034441233_j_k_l @ X1 )
           != none_R1587534007on_j_k ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP5])]) ).

thf(sP6,plain,
    ( sP6
  <=> ( sP1 = sP2 ) ),
    introduced(definition,[new_symbols(definition,[sP6])]) ).

thf(sP7,plain,
    ( sP7
  <=> ! [X1: rObjec1413572695_j_k_l] :
        ( ( ( cast_O1034441233_j_k_l @ X1 )
          = none_R1587534007on_j_k )
        = ( ! [X2: rObjec1617416918on_j_k] :
              ( ( cast_D1252964113_h_i_l @ X2 )
             != X1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP7])]) ).

thf(sP8,plain,
    ( sP8
  <=> ( is_doc1417632087_j_k_l @ ( cast_D1252964113_h_i_l @ ( rObjec1303043984on_j_k @ product_Unity @ ( rDocum427676485on_j_k @ product_Unity @ nil_char @ none_element_ptr_a @ nil_no279930520tr_b_c @ none_S1393028981on_j_k ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP8])]) ).

thf(sP9,plain,
    ( sP9
  <=> ! [X1: rObjec1413572695_j_k_l] :
        ( ( is_doc1417632087_j_k_l @ X1 )
        = ( ( cast_O1034441233_j_k_l @ X1 )
         != none_R1587534007on_j_k ) ) ),
    introduced(definition,[new_symbols(definition,[sP9])]) ).

thf(conj_3,conjecture,
    sP8 ).

thf(h0,negated_conjecture,
    ~ sP8,
    inference(assume_negation,[status(cth)],[conj_3]) ).

thf(1,plain,
    ( ~ sP2
    | sP3 ),
    inference(all_rule,[status(thm)],]) ).

thf(2,plain,
    ( ~ sP6
    | ~ sP1
    | sP2 ),
    inference(prop_rule,[status(thm)],]) ).

thf(3,plain,
    ( ~ sP4
    | sP8
    | sP1 ),
    inference(prop_rule,[status(thm)],]) ).

thf(4,plain,
    ( ~ sP7
    | sP6 ),
    inference(all_rule,[status(thm)],]) ).

thf(5,plain,
    ( ~ sP9
    | sP4 ),
    inference(all_rule,[status(thm)],]) ).

thf(6,plain,
    ~ sP3,
    inference(prop_rule,[status(thm)],]) ).

thf(7,plain,
    ( ~ sP5
    | sP9 ),
    inference(prop_rule,[status(thm)],]) ).

thf(fact_115_is__document__kind__def,axiom,
    sP5 ).

thf(fact_110_cast_092_060_094sub_062O_092_060_094sub_062b_092_060_094sub_062j_092_060_094sub_062e_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_0622_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t__none,axiom,
    sP7 ).

thf(8,plain,
    $false,
    inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,3,4,5,6,7,h0,fact_115_is__document__kind__def,fact_110_cast_092_060_094sub_062O_092_060_094sub_062b_092_060_094sub_062j_092_060_094sub_062e_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_0622_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t__none]) ).

thf(0,theorem,
    sP8,
    inference(contra,[status(thm),contra(discharge,[h0])],[8,h0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ITP172^1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.13  % Command  : lash -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34  % Computer : n014.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
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sun Aug 27 16:36:01 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.43  % SZS status Theorem
% 0.19/0.43  % Mode: cade22sinegrackle2x6978
% 0.19/0.43  % Steps: 238
% 0.19/0.43  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------