%------------------------------------------------------------------------------
% File     : Lash---1.13
% Problem  : ITP173^1 : 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 : n016.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 0.45s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
thf(ty_heap_S1465075775_j_k_l,type,
    heap_S1465075775_j_k_l: $tType ).

thf(ty_type_w1771507213_j_k_l,type,
    type_w1771507213_j_k_l: heap_S1465075775_j_k_l > $o ).

thf(ty_type_w697503069_j_k_l,type,
    type_w697503069_j_k_l: heap_S1465075775_j_k_l > $o ).

thf(ty_type_w92696601_j_k_l,type,
    type_w92696601_j_k_l: heap_S1465075775_j_k_l > $o ).

thf(ty_h,type,
    h: heap_S1465075775_j_k_l ).

thf(sP1,plain,
    ( sP1
  <=> ( type_w1771507213_j_k_l @ h ) ),
    introduced(definition,[new_symbols(definition,[sP1])]) ).

thf(sP2,plain,
    ( sP2
  <=> ( ( type_w92696601_j_k_l @ h )
     => sP1 ) ),
    introduced(definition,[new_symbols(definition,[sP2])]) ).

thf(sP3,plain,
    ( sP3
  <=> ( type_w92696601_j_k_l @ h ) ),
    introduced(definition,[new_symbols(definition,[sP3])]) ).

thf(sP4,plain,
    ( sP4
  <=> ! [X1: heap_S1465075775_j_k_l] :
        ( ( type_w92696601_j_k_l @ X1 )
       => ( type_w1771507213_j_k_l @ X1 ) ) ),
    introduced(definition,[new_symbols(definition,[sP4])]) ).

thf(sP5,plain,
    ( sP5
  <=> ! [X1: heap_S1465075775_j_k_l] :
        ( ( type_w1771507213_j_k_l @ X1 )
       => ( type_w697503069_j_k_l @ X1 ) ) ),
    introduced(definition,[new_symbols(definition,[sP5])]) ).

thf(sP6,plain,
    ( sP6
  <=> ( type_w697503069_j_k_l @ h ) ),
    introduced(definition,[new_symbols(definition,[sP6])]) ).

thf(sP7,plain,
    ( sP7
  <=> ( sP1
     => sP6 ) ),
    introduced(definition,[new_symbols(definition,[sP7])]) ).

thf(conj_3,conjecture,
    sP6 ).

thf(h0,negated_conjecture,
    ~ sP6,
    inference(assume_negation,[status(cth)],[conj_3]) ).

thf(1,plain,
    ( ~ sP7
    | ~ sP1
    | sP6 ),
    inference(prop_rule,[status(thm)],]) ).

thf(2,plain,
    ( ~ sP2
    | ~ sP3
    | sP1 ),
    inference(prop_rule,[status(thm)],]) ).

thf(3,plain,
    ( ~ sP5
    | sP7 ),
    inference(all_rule,[status(thm)],]) ).

thf(4,plain,
    ( ~ sP4
    | sP2 ),
    inference(all_rule,[status(thm)],]) ).

thf(conj_2,axiom,
    sP3 ).

thf(fact_142_ShadowRootClass_Otype__wf_092_060_094sub_062C_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062r_092_060_094sub_062a_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062D_092_060_094sub_062a_092_060_094sub_062t_092_060_094sub_062a,axiom,
    sP4 ).

thf(fact_140_CharacterDataClass_Otype__wf_092_060_094sub_062E_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t,axiom,
    sP5 ).

thf(5,plain,
    $false,
    inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,3,4,h0,conj_2,fact_142_ShadowRootClass_Otype__wf_092_060_094sub_062C_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062r_092_060_094sub_062a_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062D_092_060_094sub_062a_092_060_094sub_062t_092_060_094sub_062a,fact_140_CharacterDataClass_Otype__wf_092_060_094sub_062E_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t]) ).

thf(0,theorem,
    sP6,
    inference(contra,[status(thm),contra(discharge,[h0])],[5,h0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : ITP173^1 : 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 : n016.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 17:30:43 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  % SZS status Theorem
% 0.19/0.45  % Mode: cade22sinegrackle2x6978
% 0.19/0.45  % Steps: 140
% 0.19/0.45  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------