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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP309_1 : TPTP v9.2.0. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.E7HFGtfORx true

% Computer : n024.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 Oct  2 04:39:55 PM UTC 2025

% Result   : Theorem 33.10s 5.34s
% Output   : Refutation 33.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   39 (  26 unt;   0 typ;   0 def)
%            Number of atoms       :   60 (  50 equ;   0 cnn)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :  251 (  15   ~;  12   |;   2   &; 215   @)
%                                         (   2 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Number of types       :   22 (  21 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   38 (  36 usr;  16 con; 0-3 aty)
%            Number of variables   :   40 (   0   ^;  37   !;   3   ?;  40   :)

% Comments : 
%------------------------------------------------------------------------------
thf('C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$_type',type,
    'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$': $tType ).

thf('C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option_fun$_type',type,
    'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option_fun$': $tType ).

thf('C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext$_type',type,
    'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext$': $tType ).

thf('A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option_fun$_type',type,
    'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option_fun$': $tType ).

thf('A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_a_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option_fun_fun$_type',type,
    'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_a_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option_fun_fun$': $tType ).

thf('A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$_type',type,
    'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$': $tType ).

thf('A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap$_type',type,
    'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap$': $tType ).

thf('A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_fset_bool_fun$_type',type,
    'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_fset_bool_fun$': $tType ).

thf('A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_fset$_type',type,
    'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_fset$': $tType ).

thf('A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap_a_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_fset_fun$_type',type,
    'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap_a_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_fset_fun$': $tType ).

thf('A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_set$_type',type,
    'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_set$': $tType ).

thf('A_element_ptr$_type',type,
    'A_element_ptr$': $tType ).

thf('C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_RObject_ext_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option_fun$_type',type,
    'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_RObject_ext_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option_fun$': $tType ).

thf('C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_RObject_ext$_type',type,
    'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_RObject_ext$': $tType ).

thf('C_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext$_type',type,
    'C_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext$': $tType ).

thf('A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_list_a_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_list_fun$_type',type,
    'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_list_a_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_list_fun$': $tType ).

thf('C_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option$_type',type,
    'C_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option$': $tType ).

thf('A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$_type',type,
    'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$': $tType ).

thf('A_element_ptr_a_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun_fun$_type',type,
    'A_element_ptr_a_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun_fun$': $tType ).

thf('C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$_type',type,
    'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$': $tType ).

thf('C_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$_type',type,
    'C_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$': $tType ).

thf('child_nodes_update$_type',type,
    'child_nodes_update$': 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_list_a_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_list_fun$' > 'C_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext$' > 'C_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext$' ).

thf('fun_app$s_type',type,
    'fun_app$s': 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_RObject_ext_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option_fun$' > 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_RObject_ext$' > 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$' ).

thf('node_ptr_kinds$_type',type,
    'node_ptr_kinds$': 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap_a_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_fset_fun$' ).

thf('fun_app$aj_type',type,
    'fun_app$aj': 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option_fun$' > 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap$' > 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$' ).

thf(sk__2_type,type,
    sk__2: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$' > 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext$' ).

thf('fun_app$au_type',type,
    'fun_app$au': 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap_a_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_fset_fun$' > 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap$' > 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_fset$' ).

thf('get_N_o_d_e$_type',type,
    'get_N_o_d_e$': 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_a_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option_fun_fun$' ).

thf('element_ptr$_type',type,
    'element_ptr$': 'A_element_ptr$' ).

thf('uuq$_type',type,
    'uuq$': 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$' ).

thf('some$_type',type,
    'some$': 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option_fun$' ).

thf('fun_app$i_type',type,
    'fun_app$i': 'C_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$' > 'C_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext$' > 'C_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option$' ).

thf('member$c_type',type,
    'member$c': 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$' > 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_set$' > $o ).

thf('x$_type',type,
    'x$': 'C_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext$' ).

thf('fmember$_type',type,
    'fmember$': 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$' > 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_fset_bool_fun$' ).

thf('fun_app$n_type',type,
    'fun_app$n': 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$' > 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext$' > 'C_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option$' ).

thf('node_ptr$_type',type,
    'node_ptr$': 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$' ).

thf('fun_app$g_type',type,
    'fun_app$g': 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option_fun$' > 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext$' > 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$' ).

thf('none$a_type',type,
    'none$a': 'C_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option$' ).

thf('cast_N_o_d_e_2_E_l_e_m_e_n_t$_type',type,
    'cast_N_o_d_e_2_E_l_e_m_e_n_t$': 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$' ).

thf(sk__10_type,type,
    sk__10: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$' > 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$' > 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$' > 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext$' ).

thf('fun_app$ar_type',type,
    'fun_app$ar': 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$' > 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap$' > 'C_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option$' ).

thf('uu$_type',type,
    'uu$': 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_list_a_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_list_fun$' ).

thf('bind$g_type',type,
    'bind$g': 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$' > 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$' > 'C_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option$' ).

thf('fset$b_type',type,
    'fset$b': 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_fset$' > 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_set$' ).

thf('cast_N_o_d_e_2_O_b_j_e_c_t$_type',type,
    'cast_N_o_d_e_2_O_b_j_e_c_t$': 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext$' > 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_RObject_ext$' ).

thf('some$a_type',type,
    'some$a': 'C_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$' ).

thf('fun_app$as_type',type,
    'fun_app$as': 'A_element_ptr_a_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun_fun$' > 'A_element_ptr$' > 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$' ).

thf('none$b_type',type,
    'none$b': 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$' ).

thf('cast_O_b_j_e_c_t_2_N_o_d_e$_type',type,
    'cast_O_b_j_e_c_t_2_N_o_d_e$': 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_RObject_ext_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option_fun$' ).

thf(sk__32_type,type,
    sk__32: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$' > 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext$' ).

thf('get_E_l_e_m_e_n_t$_type',type,
    'get_E_l_e_m_e_n_t$': 'A_element_ptr_a_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun_fun$' ).

thf('fun_app$aw_type',type,
    'fun_app$aw': 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_fset_bool_fun$' > 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_fset$' > $o ).

thf('cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r$_type',type,
    'cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r$': 'A_element_ptr$' > 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$' ).

thf('cast_E_l_e_m_e_n_t_2_N_o_d_e$_type',type,
    'cast_E_l_e_m_e_n_t_2_N_o_d_e$': 'C_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext$' > 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext$' ).

thf('fun_app$ak_type',type,
    'fun_app$ak': 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_a_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option_fun_fun$' > 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$' > 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option_fun$' ).

thf('h$_type',type,
    'h$': 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap$' ).

thf(axiom218,axiom,
    ! [A__questionmark_v0: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$'] :
      ( ! [A__questionmark_v1: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext$'] :
          ( A__questionmark_v0
         != ( 'fun_app$g' @ 'some$' @ A__questionmark_v1 ) )
    <=> ( A__questionmark_v0 = 'none$b' ) ) ).

thf(zip_derived_cl360,plain,
    ! [X0: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$'] :
      ( ( X0 = 'none$b' )
      | ( X0
        = ( 'fun_app$g' @ 'some$' @ ( sk__32 @ X0 ) ) ) ),
    inference(cnf,[status(esa)],[axiom218]) ).

thf(conjecture54,conjecture,
    ? [A__questionmark_v0: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext$'] :
      ( ( 'fun_app$aj' @ ( 'fun_app$ak' @ 'get_N_o_d_e$' @ 'node_ptr$' ) @ 'h$' )
      = ( 'fun_app$g' @ 'some$' @ A__questionmark_v0 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [A__questionmark_v0: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext$'] :
        ( ( 'fun_app$aj' @ ( 'fun_app$ak' @ 'get_N_o_d_e$' @ 'node_ptr$' ) @ 'h$' )
        = ( 'fun_app$g' @ 'some$' @ A__questionmark_v0 ) ),
    inference('cnf.neg',[status(esa)],[conjecture54]) ).

thf(zip_derived_cl72,plain,
    ! [X0: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext$'] :
      ( ( 'fun_app$aj' @ ( 'fun_app$ak' @ 'get_N_o_d_e$' @ 'node_ptr$' ) @ 'h$' )
     != ( 'fun_app$g' @ 'some$' @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1872,plain,
    ! [X0: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$'] :
      ( ( X0 = 'none$b' )
      | ( ( 'fun_app$aj' @ ( 'fun_app$ak' @ 'get_N_o_d_e$' @ 'node_ptr$' ) @ 'h$' )
       != X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl360,zip_derived_cl72]) ).

thf(zip_derived_cl1879,plain,
    ( ( 'fun_app$aj' @ ( 'fun_app$ak' @ 'get_N_o_d_e$' @ 'node_ptr$' ) @ 'h$' )
    = 'none$b' ),
    inference(eq_res,[status(thm)],[zip_derived_cl1872]) ).

thf(hypothesis61,axiom,
    'fun_app$aw' @ ( 'fmember$' @ 'node_ptr$' ) @ ( 'fun_app$au' @ 'node_ptr_kinds$' @ 'h$' ) ).

thf(zip_derived_cl81,plain,
    'fun_app$aw' @ ( 'fmember$' @ 'node_ptr$' ) @ ( 'fun_app$au' @ 'node_ptr_kinds$' @ 'h$' ),
    inference(cnf,[status(esa)],[hypothesis61]) ).

thf(axiom70,axiom,
    ! [A__questionmark_v0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$',A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_fset$'] :
      ( ( 'member$c' @ A__questionmark_v0 @ ( 'fset$b' @ A__questionmark_v1 ) )
    <=> ( 'fun_app$aw' @ ( 'fmember$' @ A__questionmark_v0 ) @ A__questionmark_v1 ) ) ).

thf(zip_derived_cl97,plain,
    ! [X0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$',X1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_fset$'] :
      ( ( 'member$c' @ X0 @ ( 'fset$b' @ X1 ) )
      | ~ ( 'fun_app$aw' @ ( 'fmember$' @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[axiom70]) ).

thf(zip_derived_cl3237,plain,
    'member$c' @ 'node_ptr$' @ ( 'fset$b' @ ( 'fun_app$au' @ 'node_ptr_kinds$' @ 'h$' ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl97]) ).

thf(hypothesis59,axiom,
    ! [A__questionmark_v0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] :
      ( ( 'member$c' @ A__questionmark_v0 @ ( 'fset$b' @ ( 'fun_app$au' @ 'node_ptr_kinds$' @ 'h$' ) ) )
     => ? [A__questionmark_v1: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext$'] :
          ( ( ( ( 'cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r$' @ 'element_ptr$' )
             != A__questionmark_v0 )
           => ( ( 'fun_app$aj' @ ( 'fun_app$ak' @ 'get_N_o_d_e$' @ A__questionmark_v0 ) @ 'h$' )
              = ( 'fun_app$g' @ 'some$' @ A__questionmark_v1 ) ) )
          & ( ( ( 'cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r$' @ 'element_ptr$' )
              = A__questionmark_v0 )
           => ( ( 'fun_app$s' @ 'cast_O_b_j_e_c_t_2_N_o_d_e$' @ ( 'cast_N_o_d_e_2_O_b_j_e_c_t$' @ ( 'cast_E_l_e_m_e_n_t_2_N_o_d_e$' @ ( 'child_nodes_update$' @ 'uu$' @ 'x$' ) ) ) )
              = ( 'fun_app$g' @ 'some$' @ A__questionmark_v1 ) ) ) ) ) ).

thf(zip_derived_cl77,plain,
    ! [X0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] :
      ( ( ( 'cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r$' @ 'element_ptr$' )
        = X0 )
      | ( ( 'fun_app$aj' @ ( 'fun_app$ak' @ 'get_N_o_d_e$' @ X0 ) @ 'h$' )
        = ( 'fun_app$g' @ 'some$' @ ( sk__2 @ X0 ) ) )
      | ~ ( 'member$c' @ X0 @ ( 'fset$b' @ ( 'fun_app$au' @ 'node_ptr_kinds$' @ 'h$' ) ) ) ),
    inference(cnf,[status(esa)],[hypothesis59]) ).

thf(zip_derived_cl5243,plain,
    ( ( ( 'cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r$' @ 'element_ptr$' )
      = 'node_ptr$' )
    | ( ( 'fun_app$aj' @ ( 'fun_app$ak' @ 'get_N_o_d_e$' @ 'node_ptr$' ) @ 'h$' )
      = ( 'fun_app$g' @ 'some$' @ ( sk__2 @ 'node_ptr$' ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3237,zip_derived_cl77]) ).

thf(zip_derived_cl1879_001,plain,
    ( ( 'fun_app$aj' @ ( 'fun_app$ak' @ 'get_N_o_d_e$' @ 'node_ptr$' ) @ 'h$' )
    = 'none$b' ),
    inference(eq_res,[status(thm)],[zip_derived_cl1872]) ).

thf(zip_derived_cl5245,plain,
    ( ( ( 'cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r$' @ 'element_ptr$' )
      = 'node_ptr$' )
    | ( 'none$b'
      = ( 'fun_app$g' @ 'some$' @ ( sk__2 @ 'node_ptr$' ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5243,zip_derived_cl1879]) ).

thf(axiom295,axiom,
    ! [A__questionmark_v0: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext$'] :
      ( 'none$b'
     != ( 'fun_app$g' @ 'some$' @ A__questionmark_v0 ) ) ).

thf(zip_derived_cl592,plain,
    ! [X0: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext$'] :
      ( 'none$b'
     != ( 'fun_app$g' @ 'some$' @ X0 ) ),
    inference(cnf,[status(esa)],[axiom295]) ).

thf(zip_derived_cl5246,plain,
    ( ( 'cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r$' @ 'element_ptr$' )
    = 'node_ptr$' ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl5245,zip_derived_cl592]) ).

thf(axiom136,axiom,
    ! [A__questionmark_v0: 'A_element_ptr$',A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap$'] :
      ( ( 'fun_app$ar' @ ( 'fun_app$as' @ 'get_E_l_e_m_e_n_t$' @ A__questionmark_v0 ) @ A__questionmark_v1 )
      = ( 'bind$g' @ ( 'fun_app$aj' @ ( 'fun_app$ak' @ 'get_N_o_d_e$' @ ( 'cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r$' @ A__questionmark_v0 ) ) @ A__questionmark_v1 ) @ 'cast_N_o_d_e_2_E_l_e_m_e_n_t$' ) ) ).

thf(zip_derived_cl235,plain,
    ! [X0: 'A_element_ptr$',X1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap$'] :
      ( ( 'fun_app$ar' @ ( 'fun_app$as' @ 'get_E_l_e_m_e_n_t$' @ X0 ) @ X1 )
      = ( 'bind$g' @ ( 'fun_app$aj' @ ( 'fun_app$ak' @ 'get_N_o_d_e$' @ ( 'cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r$' @ X0 ) ) @ X1 ) @ 'cast_N_o_d_e_2_E_l_e_m_e_n_t$' ) ),
    inference(cnf,[status(esa)],[axiom136]) ).

thf(zip_derived_cl5252,plain,
    ! [X0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap$'] :
      ( ( 'fun_app$ar' @ ( 'fun_app$as' @ 'get_E_l_e_m_e_n_t$' @ 'element_ptr$' ) @ X0 )
      = ( 'bind$g' @ ( 'fun_app$aj' @ ( 'fun_app$ak' @ 'get_N_o_d_e$' @ 'node_ptr$' ) @ X0 ) @ 'cast_N_o_d_e_2_E_l_e_m_e_n_t$' ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl5246,zip_derived_cl235]) ).

thf(zip_derived_cl8923,plain,
    ( ( 'fun_app$ar' @ ( 'fun_app$as' @ 'get_E_l_e_m_e_n_t$' @ 'element_ptr$' ) @ 'h$' )
    = ( 'bind$g' @ 'none$b' @ 'cast_N_o_d_e_2_E_l_e_m_e_n_t$' ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1879,zip_derived_cl5252]) ).

thf(hypothesis57,axiom,
    ( ( 'fun_app$ar' @ ( 'fun_app$as' @ 'get_E_l_e_m_e_n_t$' @ 'element_ptr$' ) @ 'h$' )
    = ( 'fun_app$i' @ 'some$a' @ 'x$' ) ) ).

thf(zip_derived_cl75,plain,
    ( ( 'fun_app$ar' @ ( 'fun_app$as' @ 'get_E_l_e_m_e_n_t$' @ 'element_ptr$' ) @ 'h$' )
    = ( 'fun_app$i' @ 'some$a' @ 'x$' ) ),
    inference(cnf,[status(esa)],[hypothesis57]) ).

thf(zip_derived_cl8927,plain,
    ( ( 'fun_app$i' @ 'some$a' @ 'x$' )
    = ( 'bind$g' @ 'none$b' @ 'cast_N_o_d_e_2_E_l_e_m_e_n_t$' ) ),
    inference(demod,[status(thm)],[zip_derived_cl8923,zip_derived_cl75]) ).

thf(axiom176,axiom,
    ! [A__questionmark_v0: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$',A__questionmark_v1: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$',A__questionmark_v2: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$',A__questionmark_v3: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$'] :
      ( ( ( A__questionmark_v0 = A__questionmark_v1 )
        & ! [A__questionmark_v4: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext$'] :
            ( ( A__questionmark_v1
              = ( 'fun_app$g' @ 'some$' @ A__questionmark_v4 ) )
           => ( ( 'fun_app$n' @ A__questionmark_v2 @ A__questionmark_v4 )
              = ( 'fun_app$n' @ A__questionmark_v3 @ A__questionmark_v4 ) ) ) )
     => ( ( 'bind$g' @ A__questionmark_v0 @ A__questionmark_v2 )
        = ( 'bind$g' @ A__questionmark_v1 @ A__questionmark_v3 ) ) ) ).

thf(zip_derived_cl278,plain,
    ! [X0: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$',X1: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$',X2: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$',X3: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$'] :
      ( ( X1 != X0 )
      | ( X0
        = ( 'fun_app$g' @ 'some$' @ ( sk__10 @ X2 @ X3 @ X0 ) ) )
      | ( ( 'bind$g' @ X1 @ X3 )
        = ( 'bind$g' @ X0 @ X2 ) ) ),
    inference(cnf,[status(esa)],[axiom176]) ).

thf(zip_derived_cl8929,plain,
    ! [X0: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$',X1: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$'] :
      ( ( X1 != 'none$b' )
      | ( 'none$b'
        = ( 'fun_app$g' @ 'some$' @ ( sk__10 @ 'cast_N_o_d_e_2_E_l_e_m_e_n_t$' @ X0 @ 'none$b' ) ) )
      | ( ( 'bind$g' @ X1 @ X0 )
        = ( 'fun_app$i' @ 'some$a' @ 'x$' ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl8927,zip_derived_cl278]) ).

thf(zip_derived_cl592_002,plain,
    ! [X0: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext$'] :
      ( 'none$b'
     != ( 'fun_app$g' @ 'some$' @ X0 ) ),
    inference(cnf,[status(esa)],[axiom295]) ).

thf(zip_derived_cl8932,plain,
    ! [X0: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$',X1: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$'] :
      ( ( X1 != 'none$b' )
      | ( ( 'bind$g' @ X1 @ X0 )
        = ( 'fun_app$i' @ 'some$a' @ 'x$' ) ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl8929,zip_derived_cl592]) ).

thf(zip_derived_cl8938,plain,
    ! [X0: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$'] :
      ( ( 'bind$g' @ 'none$b' @ X0 )
      = ( 'fun_app$i' @ 'some$a' @ 'x$' ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl8932]) ).

thf(axiom231,axiom,
    ! [A__questionmark_v0: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$'] :
      ( ( 'bind$g' @ A__questionmark_v0 @ 'uuq$' )
      = 'none$a' ) ).

thf(zip_derived_cl384,plain,
    ! [X0: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$'] :
      ( ( 'bind$g' @ X0 @ 'uuq$' )
      = 'none$a' ),
    inference(cnf,[status(esa)],[axiom231]) ).

thf(zip_derived_cl8944,plain,
    ( ( 'fun_app$i' @ 'some$a' @ 'x$' )
    = 'none$a' ),
    inference('s_sup+',[status(thm)],[zip_derived_cl8938,zip_derived_cl384]) ).

thf(axiom298,axiom,
    ! [A__questionmark_v0: 'C_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext$'] :
      ( 'none$a'
     != ( 'fun_app$i' @ 'some$a' @ A__questionmark_v0 ) ) ).

thf(zip_derived_cl595,plain,
    ! [X0: 'C_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext$'] :
      ( 'none$a'
     != ( 'fun_app$i' @ 'some$a' @ X0 ) ),
    inference(cnf,[status(esa)],[axiom298]) ).

thf(zip_derived_cl8947,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl8944,zip_derived_cl595]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : ITP309_1 : TPTP v9.2.0. Released v8.0.0.
% 0.03/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.E7HFGtfORx true
% 0.12/0.35  % Computer : n024.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit : 300
% 0.12/0.35  % WCLimit  : 300
% 0.12/0.35  % DateTime : Wed Oct  1 15:30:08 EDT 2025
% 0.12/0.35  % CPUTime  : 
% 0.12/0.35  % Running portfolio for 300 s
% 0.12/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35  % Number of cores: 8
% 0.12/0.36  % Python version: Python 3.6.8
% 0.12/0.36  % Running in FO mode
% 0.46/0.62  % Total configuration time : 435
% 0.46/0.62  % Estimated wc time : 1092
% 0.46/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.52/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 33.10/5.34  % Solved by fo/fo13.sh.
% 33.10/5.34  % done 1676 iterations in 4.578s
% 33.10/5.34  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 33.10/5.34  % SZS output start Refutation
% See solution above
% 33.10/5.34  
% 33.10/5.34  
% 33.10/5.34  % Terminating...
% 33.71/5.48  % Runner terminated.
% 33.71/5.50  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------