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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : ITP309_1 : TPTP v9.3.1. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 12:55:23 PM UTC 2026

% Result   : Theorem 3.91s 11.15s
% Output   : CNFRefutation 3.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   63 (  35 unt;   0 typ;   0 def)
%            Number of atoms       :  147 (  84 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  137 (  53   ~;  48   |;  16   &)
%                                         (   5 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of types       :   24 (  23 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   3 usr;   2 prp; 0-2 aty)
%            Number of functors    :   40 (  40 usr;  17 con; 0-4 aty)
%            Number of variables   :   84 (   0 sgn  80   !;   4   ?;  84   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_sort1,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_bool_fun$': $tType ).

tff(decl_sort2,type,
    'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$': $tType ).

tff(decl_sort3,type,
    'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_fset$': $tType ).

tff(decl_sort4,type,
    'C_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext$': $tType ).

tff(decl_sort5,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 ).

tff(decl_sort6,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 ).

tff(decl_sort7,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 ).

tff(decl_sort8,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 ).

tff(decl_sort9,type,
    'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$': $tType ).

tff(decl_sort10,type,
    'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_set$': $tType ).

tff(decl_sort11,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 ).

tff(decl_sort12,type,
    'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_fset_bool_fun$': $tType ).

tff(decl_sort13,type,
    'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext$': $tType ).

tff(decl_sort14,type,
    'C_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option$': $tType ).

tff(decl_sort15,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 ).

tff(decl_sort16,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 ).

tff(decl_sort17,type,
    'A_element_ptr$': $tType ).

tff(decl_sort18,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 ).

tff(decl_sort19,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 ).

tff(decl_sort20,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 ).

tff(decl_sort21,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_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option_fun$': $tType ).

tff(decl_sort22,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 ).

tff(decl_sort23,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 ).

tff(decl_29,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_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$' ) > 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_fset$' ).

tff(decl_39,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_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$' ) > 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$' ).

tff(decl_42,type,
    'type_wf$d': 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap_bool_fun$' ).

tff(decl_55,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$' ).

tff(decl_76,type,
    'some$a': 'C_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$' ).

tff(decl_121,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_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$' ) > 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option_fun$' ).

tff(decl_124,type,
    'bind$g': ( 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$' * 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$' ) > 'C_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option$' ).

tff(decl_135,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$' ).

tff(decl_136,type,
    'fun_app$aw': ( 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_fset$' * 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_fset_bool_fun$' ) > $o ).

tff(decl_142,type,
    'fun_app$aj': ( 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap$' * '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$' ) > 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$' ).

tff(decl_143,type,
    'cast_O_b_j_e_c_t_2_N_o_d_e$': 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_RObject_ext_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option_fun$' ).

tff(decl_144,type,
    'member$c': ( 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_set$' * 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$' ) > $o ).

tff(decl_153,type,
    'uu$': 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_list_a_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_list_fun$' ).

tff(decl_175,type,
    'x$': 'C_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext$' ).

tff(decl_181,type,
    'child_nodes_update$': ( 'C_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext$' * '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$' ) > 'C_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext$' ).

tff(decl_191,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_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$' ) > 'C_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option$' ).

tff(decl_195,type,
    'fun_app$ba': ( 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option_fun$' * '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_fun_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option_fun$' ) > 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$' ).

tff(decl_205,type,
    'fun_app$as': ( 'A_element_ptr$' * '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$' ) > 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$' ).

tff(decl_206,type,
    'the$d': 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$' > 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext$' ).

tff(decl_212,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$' ).

tff(decl_230,type,
    'uuq$': 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$' ).

tff(decl_242,type,
    'node_ptr$': 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$' ).

tff(decl_245,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_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$' ) > 'C_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option$' ).

tff(decl_263,type,
    'none$a': 'C_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option$' ).

tff(decl_265,type,
    'cast_N_o_d_e_2_E_l_e_m_e_n_t$': 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$' ).

tff(decl_267,type,
    'fun_app$ci': ( 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap$' * 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_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_bool_fun$' ) > $o ).

tff(decl_272,type,
    'bind$i': 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$' > '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_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_option_fun$' ).

tff(decl_280,type,
    'element_ptr$': 'A_element_ptr$' ).

tff(decl_311,type,
    'fun_app$ar': ( 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap$' * '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$' ) > 'C_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option$' ).

tff(decl_349,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$' ).

tff(decl_352,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_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option_fun$' ) > 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$' ).

tff(decl_366,type,
    'uui$': ( 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$' * '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_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option_fun$' ) > 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$' ).

tff(decl_369,type,
    'none$b': 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$' ).

tff(decl_375,type,
    'node_ptr_kinds$': 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap_a_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_fset_fun$' ).

tff(decl_379,type,
    'some$': 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option_fun$' ).

tff(decl_397,type,
    'type_wf$c': 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap_bool_fun$' ).

tff(decl_408,type,
    'get_E_l_e_m_e_n_t$': 'A_element_ptr_a_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun_fun$' ).

tff(decl_427,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$' ).

tff(decl_428,type,
    'h$': 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap$' ).

tff(decl_450,type,
    'get_N_o_d_e$': 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_a_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option_fun_fun$' ).

tff(decl_460,type,
    esk3_1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$' > 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext$' ).

tff(decl_468,type,
    esk11_4: ( '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$' * 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$' ) ) ) > 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext$' ).

tff(decl_625,type,
    esk168_1: '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$' > 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$' ).

tff(conjecture54,conjecture,
    ? [X111: '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$g'('some$',X111) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture54) ).

tff(axiom530,axiom,
    ! [X1157: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$'] :
      ( ( ( ( X1157 = 'fun_app$g'('some$','the$d'(X1157)) )
         => ~ $true )
        & ( ( X1157 = 'none$b' )
         => ~ $true ) )
     => ~ $true ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom530) ).

tff(axiom451,axiom,
    ! [X1044: '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$'] :
      ( 'fun_app$ci'('type_wf$c',X1044)
    <=> ( ! [X1045: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] :
            ( 'member$c'(X1045,'fset$b'('fun_app$au'('node_ptr_kinds$',X1044)))
           => ( 'fun_app$aj'('fun_app$ak'('get_N_o_d_e$',X1045),X1044) != 'none$b' ) )
        & 'fun_app$ci'('type_wf$d',X1044) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom451) ).

tff(axiom458,axiom,
    ! [X1055: '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$'] :
      ( 'fun_app$ci'('type_wf$d',X1055)
    <=> $true ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom458) ).

tff(axiom443,axiom,
    ! [X1036: '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$',X1037: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] :
      ( 'fun_app$ci'('type_wf$c',X1036)
     => ( 'fun_app$aw'('fmember$'(X1037),'fun_app$au'('node_ptr_kinds$',X1036))
      <=> ( 'fun_app$aj'('fun_app$ak'('get_N_o_d_e$',X1037),X1036) != 'none$b' ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom443) ).

tff(hypothesis59,hypothesis,
    ! [X1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] :
      ( 'member$c'(X1,'fset$b'('fun_app$au'('node_ptr_kinds$','h$')))
     => ? [X116: '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$') != X1 )
           => ( 'fun_app$aj'('fun_app$ak'('get_N_o_d_e$',X1),'h$') = 'fun_app$g'('some$',X116) ) )
          & ( ( 'cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r$'('element_ptr$') = X1 )
           => ( 'fun_app$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$g'('some$',X116) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis59) ).

tff(axiom295,axiom,
    ! [X702: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext$'] : ( 'none$b' != 'fun_app$g'('some$',X702) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom295) ).

tff(hypothesis61,hypothesis,
    'fun_app$aw'('fmember$'('node_ptr$'),'fun_app$au'('node_ptr_kinds$','h$')),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis61) ).

tff(axiom176,axiom,
    ! [X391: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$',X392: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$',X393: '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$',X394: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$'] :
      ( ( ! [X390: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext$'] :
            ( ( X392 = 'fun_app$g'('some$',X390) )
           => ( 'fun_app$n'(X393,X390) = 'fun_app$n'(X394,X390) ) )
        & ( X391 = X392 ) )
     => ( 'bind$g'(X391,X393) = 'bind$g'(X392,X394) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom176) ).

tff(axiom231,axiom,
    ! [X529: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$'] : ( 'bind$g'(X529,'uuq$') = 'none$a' ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom231) ).

tff(axiom153,axiom,
    ! [X341: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$',X342: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option_fun$',X343: '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'('fun_app$ba'('bind$i'(X341),X342),X343) = 'bind$g'(X341,'uui$'(X342,X343)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom153) ).

tff(axiom136,axiom,
    ! [X300: 'A_element_ptr$',X301: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap$'] : ( 'fun_app$ar'('fun_app$as'('get_E_l_e_m_e_n_t$',X300),X301) = 'bind$g'('fun_app$aj'('fun_app$ak'('get_N_o_d_e$','cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r$'(X300)),X301),'cast_N_o_d_e_2_E_l_e_m_e_n_t$') ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom136) ).

tff(axiom298,axiom,
    ! [X705: 'C_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext$'] : ( 'none$a' != 'fun_app$i'('some$a',X705) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom298) ).

tff(hypothesis57,hypothesis,
    'fun_app$ar'('fun_app$as'('get_E_l_e_m_e_n_t$','element_ptr$'),'h$') = 'fun_app$i'('some$a','x$'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis57) ).

tff(c_0_14,negated_conjecture,
    ~ ? [X111: '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$g'('some$',X111) ),
    inference(assume_negation,[status(cth)],[conjecture54]) ).

tff(c_0_15,plain,
    ! [X3086: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$'] :
      ( ( ~ $true
        | $true
        | $true )
      & ( ~ $true
        | $true
        | ( X3086 = 'fun_app$g'('some$','the$d'(X3086)) ) )
      & ( ~ $true
        | ( X3086 = 'none$b' )
        | $true )
      & ( ~ $true
        | ( X3086 = 'none$b' )
        | ( X3086 = 'fun_app$g'('some$','the$d'(X3086)) ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom530])])])]) ).

tff(c_0_16,plain,
    ! [X1044: '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$'] :
      ( 'fun_app$ci'('type_wf$c',X1044)
    <=> ( ! [X1045: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] :
            ( 'member$c'(X1045,'fset$b'('fun_app$au'('node_ptr_kinds$',X1044)))
           => ( 'fun_app$aj'('fun_app$ak'('get_N_o_d_e$',X1045),X1044) != 'none$b' ) )
        & 'fun_app$ci'('type_wf$d',X1044) ) ),
    inference(fof_simplification,[status(thm)],[axiom451]) ).

tff(c_0_17,plain,
    ! [X2972: '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$'] :
      ( ( 'fun_app$ci'('type_wf$d',X2972)
        | ~ $true )
      & ( $true
        | ~ 'fun_app$ci'('type_wf$d',X2972) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom458])])]) ).

tff(c_0_18,plain,
    ! [X1036: '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$',X1037: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] :
      ( 'fun_app$ci'('type_wf$c',X1036)
     => ( 'fun_app$aw'('fmember$'(X1037),'fun_app$au'('node_ptr_kinds$',X1036))
      <=> ( 'fun_app$aj'('fun_app$ak'('get_N_o_d_e$',X1037),X1036) != 'none$b' ) ) ),
    inference(fof_simplification,[status(thm)],[axiom443]) ).

tff(c_0_19,negated_conjecture,
    ! [X1764: '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$g'('some$',X1764) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).

tcf(c_0_20,plain,
    ! [X24: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$'] :
      ( ~ $true
      | ( X24 = 'none$b' )
      | ( X24 = 'fun_app$g'('some$','the$d'(X24)) ) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

tff(c_0_21,hypothesis,
    ! [X1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] :
      ( 'member$c'(X1,'fset$b'('fun_app$au'('node_ptr_kinds$','h$')))
     => ? [X116: '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$') != X1 )
           => ( 'fun_app$aj'('fun_app$ak'('get_N_o_d_e$',X1),'h$') = 'fun_app$g'('some$',X116) ) )
          & ( ( 'cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r$'('element_ptr$') = X1 )
           => ( 'fun_app$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$g'('some$',X116) ) ) ) ),
    inference(fof_simplification,[status(thm)],[hypothesis59]) ).

tff(c_0_22,plain,
    ! [X2956: '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$',X2957: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$',X2958: '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$'] :
      ( ( 'fun_app$ci'('type_wf$c',X2958)
        | ~ 'fun_app$ci'('type_wf$d',X2958)
        | ( 'fun_app$aj'('fun_app$ak'('get_N_o_d_e$',esk168_1(X2958)),X2958) = 'none$b' ) )
      & ( 'fun_app$ci'('type_wf$c',X2958)
        | ~ 'fun_app$ci'('type_wf$d',X2958)
        | 'member$c'(esk168_1(X2958),'fset$b'('fun_app$au'('node_ptr_kinds$',X2958))) )
      & ( ~ 'fun_app$ci'('type_wf$c',X2956)
        | ( 'fun_app$aj'('fun_app$ak'('get_N_o_d_e$',X2957),X2956) != 'none$b' )
        | ~ 'member$c'(X2957,'fset$b'('fun_app$au'('node_ptr_kinds$',X2956))) )
      & ( ~ 'fun_app$ci'('type_wf$c',X2956)
        | 'fun_app$ci'('type_wf$d',X2956) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])])])])]) ).

tcf(c_0_23,plain,
    ! [X121: '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$'] :
      ( ~ $true
      | 'fun_app$ci'('type_wf$d',X121) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

tff(c_0_24,plain,
    ! [X2946: '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$',X2947: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] :
      ( ( ~ 'fun_app$ci'('type_wf$c',X2946)
        | 'fun_app$aw'('fmember$'(X2947),'fun_app$au'('node_ptr_kinds$',X2946))
        | ( 'fun_app$aj'('fun_app$ak'('get_N_o_d_e$',X2947),X2946) = 'none$b' ) )
      & ( ~ 'fun_app$ci'('type_wf$c',X2946)
        | ( 'fun_app$aj'('fun_app$ak'('get_N_o_d_e$',X2947),X2946) != 'none$b' )
        | ~ 'fun_app$aw'('fmember$'(X2947),'fun_app$au'('node_ptr_kinds$',X2946)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])]) ).

tcf(c_0_25,negated_conjecture,
    ! [X12: '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$g'('some$',X12),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

tcf(c_0_26,plain,
    ! [X24: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$'] :
      ( ( X24 = 'fun_app$g'('some$','the$d'(X24)) )
      | ( X24 = 'none$b' ) ),
    inference(cn,[status(thm)],[c_0_20]) ).

tff(c_0_27,plain,
    ! [X702: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext$'] : ( 'none$b' != 'fun_app$g'('some$',X702) ),
    inference(fof_simplification,[status(thm)],[axiom295]) ).

tff(c_0_28,hypothesis,
    ! [X1769: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] :
      ( ( ~ 'member$c'(X1769,'fset$b'('fun_app$au'('node_ptr_kinds$','h$')))
        | ( 'fun_app$aj'('fun_app$ak'('get_N_o_d_e$',X1769),'h$') = 'fun_app$g'('some$',esk3_1(X1769)) )
        | ( 'cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r$'('element_ptr$') = X1769 ) )
      & ( ~ 'member$c'(X1769,'fset$b'('fun_app$au'('node_ptr_kinds$','h$')))
        | ( 'fun_app$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$g'('some$',esk3_1(X1769)) )
        | ( 'cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r$'('element_ptr$') != X1769 ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])])]) ).

tcf(c_0_29,plain,
    ! [X121: '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$'] :
      ( ~ 'fun_app$ci'('type_wf$d',X121)
      | 'fun_app$ci'('type_wf$c',X121)
      | 'member$c'(esk168_1(X121),'fset$b'('fun_app$au'('node_ptr_kinds$',X121))) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

tcf(c_0_30,plain,
    ! [X121: '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$'] : 'fun_app$ci'('type_wf$d',X121),
    inference(cn,[status(thm)],[c_0_23]) ).

tcf(c_0_31,plain,
    ! [X1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$',X121: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap$'] :
      ( ~ 'fun_app$ci'('type_wf$c',X121)
      | ( 'fun_app$aj'('fun_app$ak'('get_N_o_d_e$',X1),X121) != 'none$b' )
      | ~ 'fun_app$aw'('fmember$'(X1),'fun_app$au'('node_ptr_kinds$',X121)) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

tcf(c_0_32,negated_conjecture,
    'fun_app$aj'('fun_app$ak'('get_N_o_d_e$','node_ptr$'),'h$') = 'none$b',
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26])]) ).

tcf(c_0_33,hypothesis,
    'fun_app$aw'('fmember$'('node_ptr$'),'fun_app$au'('node_ptr_kinds$','h$')),
    inference(split_conjunct,[status(thm)],[hypothesis61]) ).

tff(c_0_34,plain,
    ! [X2477: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext$'] : ( 'none$b' != 'fun_app$g'('some$',X2477) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_27])]) ).

tcf(c_0_35,hypothesis,
    ! [X1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] :
      ( ~ 'member$c'(X1,'fset$b'('fun_app$au'('node_ptr_kinds$','h$')))
      | ( 'fun_app$aj'('fun_app$ak'('get_N_o_d_e$',X1),'h$') = 'fun_app$g'('some$',esk3_1(X1)) )
      | ( 'cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r$'('element_ptr$') = X1 ) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

tcf(c_0_36,plain,
    ! [X121: '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$'] :
      ( 'member$c'(esk168_1(X121),'fset$b'('fun_app$au'('node_ptr_kinds$',X121)))
      | 'fun_app$ci'('type_wf$c',X121) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30])]) ).

tcf(c_0_37,negated_conjecture,
    ~ 'fun_app$ci'('type_wf$c','h$'),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33])]) ).

tcf(c_0_38,plain,
    ! [X12: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext$'] : 'none$b' != 'fun_app$g'('some$',X12),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

tcf(c_0_39,hypothesis,
    ( ( esk168_1('h$') = 'cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r$'('element_ptr$') )
    | ( 'fun_app$g'('some$',esk3_1(esk168_1('h$'))) = 'fun_app$aj'('fun_app$ak'('get_N_o_d_e$',esk168_1('h$')),'h$') ) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]) ).

tcf(c_0_40,plain,
    ! [X121: '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$'] :
      ( ~ 'fun_app$ci'('type_wf$d',X121)
      | 'fun_app$ci'('type_wf$c',X121)
      | ( 'fun_app$aj'('fun_app$ak'('get_N_o_d_e$',esk168_1(X121)),X121) = 'none$b' ) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

tff(c_0_41,plain,
    ! [X2033: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$',X2034: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$',X2035: '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$',X2036: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$'] :
      ( ( ( 'bind$g'(X2033,X2035) = 'bind$g'(X2034,X2036) )
        | ( X2033 != X2034 )
        | ( 'fun_app$n'(X2035,esk11_4(X2033,X2034,X2035,X2036)) != 'fun_app$n'(X2036,esk11_4(X2033,X2034,X2035,X2036)) ) )
      & ( ( 'bind$g'(X2033,X2035) = 'bind$g'(X2034,X2036) )
        | ( X2033 != X2034 )
        | ( X2034 = 'fun_app$g'('some$',esk11_4(X2033,X2034,X2035,X2036)) ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom176])])])])]) ).

tcf(c_0_42,hypothesis,
    ( ( 'fun_app$aj'('fun_app$ak'('get_N_o_d_e$',esk168_1('h$')),'h$') != 'none$b' )
    | ( esk168_1('h$') = 'cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r$'('element_ptr$') ) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

tcf(c_0_43,plain,
    ! [X121: '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$'] :
      ( 'fun_app$ci'('type_wf$c',X121)
      | ( 'fun_app$aj'('fun_app$ak'('get_N_o_d_e$',esk168_1(X121)),X121) = 'none$b' ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_30])]) ).

tff(c_0_44,plain,
    ! [X2254: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$'] : ( 'bind$g'(X2254,'uuq$') = 'none$a' ),
    inference(variable_rename,[status(thm)],[axiom231]) ).

tff(c_0_45,plain,
    ! [X1978: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$',X1979: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option_fun$',X1980: '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'('fun_app$ba'('bind$i'(X1978),X1979),X1980) = 'bind$g'(X1978,'uui$'(X1979,X1980)) ),
    inference(variable_rename,[status(thm)],[axiom153]) ).

tcf(c_0_46,plain,
    ! [X47: '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$',X317: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$',X50: '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$',X24: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$'] :
      ( ( X317 != X24 )
      | ( 'bind$g'(X317,X47) = 'bind$g'(X24,X50) )
      | ( X24 = 'fun_app$g'('some$',esk11_4(X317,X24,X47,X50)) ) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

tff(c_0_47,plain,
    ! [X1928: 'A_element_ptr$',X1929: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap$'] : ( 'fun_app$ar'('fun_app$as'('get_E_l_e_m_e_n_t$',X1928),X1929) = 'bind$g'('fun_app$aj'('fun_app$ak'('get_N_o_d_e$','cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r$'(X1928)),X1929),'cast_N_o_d_e_2_E_l_e_m_e_n_t$') ),
    inference(variable_rename,[status(thm)],[axiom136]) ).

tcf(c_0_48,hypothesis,
    esk168_1('h$') = 'cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r$'('element_ptr$'),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_37]) ).

tcf(c_0_49,plain,
    ! [X24: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$'] : 'bind$g'(X24,'uuq$') = 'none$a',
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

tcf(c_0_50,plain,
    ! [X24: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$',X56: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option_fun$',X47: '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'('fun_app$ba'('bind$i'(X24),X56),X47) = 'bind$g'(X24,'uui$'(X56,X47)),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

tcf(c_0_51,plain,
    ! [X24: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$',X50: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$',X47: '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'(X24,X50) = 'bind$g'(X24,X47) )
      | ( 'fun_app$g'('some$',esk11_4(X24,X24,X47,X50)) = X24 ) ),
    inference(er,[status(thm)],[c_0_46]) ).

tff(c_0_52,plain,
    ! [X705: 'C_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext$'] : ( 'none$a' != 'fun_app$i'('some$a',X705) ),
    inference(fof_simplification,[status(thm)],[axiom298]) ).

tcf(c_0_53,plain,
    ! [X7: 'A_element_ptr$',X121: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap$'] : 'fun_app$ar'('fun_app$as'('get_E_l_e_m_e_n_t$',X7),X121) = 'bind$g'('fun_app$aj'('fun_app$ak'('get_N_o_d_e$','cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r$'(X7)),X121),'cast_N_o_d_e_2_E_l_e_m_e_n_t$'),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

tcf(c_0_54,hypothesis,
    'fun_app$aj'('fun_app$ak'('get_N_o_d_e$','cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r$'('element_ptr$')),'h$') = 'none$b',
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_48]),c_0_37]) ).

tcf(c_0_55,hypothesis,
    'fun_app$ar'('fun_app$as'('get_E_l_e_m_e_n_t$','element_ptr$'),'h$') = 'fun_app$i'('some$a','x$'),
    inference(split_conjunct,[status(thm)],[hypothesis57]) ).

tcf(c_0_56,plain,
    ! [X24: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$',X56: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option_fun$'] : 'bind$g'(X24,'uui$'(X56,'uuq$')) = 'none$a',
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

tcf(c_0_57,plain,
    ! [X47: '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$',X50: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$'] : 'bind$g'('none$b',X47) = 'bind$g'('none$b',X50),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_51])]) ).

tff(c_0_58,plain,
    ! [X2480: 'C_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext$'] : ( 'none$a' != 'fun_app$i'('some$a',X2480) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_52])]) ).

tcf(c_0_59,hypothesis,
    'bind$g'('none$b','cast_N_o_d_e_2_E_l_e_m_e_n_t$') = 'fun_app$i'('some$a','x$'),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]) ).

tcf(c_0_60,plain,
    ! [X47: '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$b',X47) = 'none$a',
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

tcf(c_0_61,plain,
    ! [X16: 'C_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext$'] : 'none$a' != 'fun_app$i'('some$a',X16),
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

cnf(c_0_62,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_60]),c_0_61]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP309_1 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/10.39  % Computer : n016.cluster.edu
% 0.14/10.39  % Model    : x86_64 x86_64
% 0.14/10.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/10.39  % Memory   : 8046.5625MB
% 0.14/10.39  % OS       : Linux 6.8.0-71-generic
% 0.14/10.39  % CPULimit : 300
% 0.14/10.39  % WCLimit  : 300
% 0.14/10.39  % DateTime : Sun Sep 20 22:38:32 UTC 2026
% 0.14/10.40  % CPUTime  : 
% 0.14/10.40  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/10.44  Running first-order theorem proving
% 0.17/10.44  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.91/11.15  % Version: 3.5.1
% 3.91/11.15  % Preprocessing class: FMLMSMSMSSSNFFN.
% 3.91/11.15  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.91/11.15  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.91/11.15  % Starting new_bool_3 with 300s (1) cores
% 3.91/11.15  % Starting new_bool_1 with 300s (1) cores
% 3.91/11.15  % Starting sh5l with 300s (1) cores
% 3.91/11.15  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 939796 completed with status 0
% 3.91/11.15  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 3.91/11.15  % Preprocessing class: FMLMSMSMSSSNFFN.
% 3.91/11.15  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.91/11.15  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.91/11.15  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 3.91/11.15  % No SInE strategy applied
% 3.91/11.15  % Search class: FGHSM-SSLM32-DFFFFFNN
% 3.91/11.15  % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 3.91/11.15  % Starting SubtermCWHack with 136s (1) cores
% 3.91/11.15  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 3.91/11.15  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 113s (1) cores
% 3.91/11.15  % Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 113s (1) cores
% 3.91/11.15  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 113s (1) cores
% 3.91/11.15  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 939804 completed with status 0
% 3.91/11.15  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 3.91/11.15  % Preprocessing class: FMLMSMSMSSSNFFN.
% 3.91/11.15  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.91/11.15  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.91/11.15  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 3.91/11.15  % No SInE strategy applied
% 3.91/11.15  % Search class: FGHSM-SSLM32-DFFFFFNN
% 3.91/11.15  % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 3.91/11.15  % Starting SubtermCWHack with 136s (1) cores
% 3.91/11.15  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 3.91/11.15  % Preprocessing time       : 0.022 s
% 3.91/11.15  % Presaturation interreduction done
% 3.91/11.15  
% 3.91/11.15  % Proof found!
% 3.91/11.15  % SZS status Theorem
% 3.91/11.15  % SZS output start CNFRefutation
% See solution above
% 3.91/11.15  % Parsed axioms                        : 1320
% 3.91/11.15  % Removed by relevancy pruning/SinE    : 0
% 3.91/11.15  % Initial clauses                      : 2276
% 3.91/11.15  % Removed in clause preprocessing      : 989
% 3.91/11.15  % Initial clauses in saturation        : 1287
% 3.91/11.15  % Processed clauses                    : 3638
% 3.91/11.15  % ...of these trivial                  : 52
% 3.91/11.15  % ...subsumed                          : 917
% 3.91/11.15  % ...remaining for further processing  : 2669
% 3.91/11.15  % Other redundant clauses eliminated   : 756
% 3.91/11.15  % Clauses deleted for lack of memory   : 0
% 3.91/11.15  % Backward-subsumed                    : 0
% 3.91/11.15  % Backward-rewritten                   : 30
% 3.91/11.15  % Generated clauses                    : 8646
% 3.91/11.15  % ...of the previous two non-redundant : 6858
% 3.91/11.15  % ...aggressively subsumed             : 0
% 3.91/11.15  % Contextual simplify-reflections      : 12
% 3.91/11.15  % Paramodulations                      : 7794
% 3.91/11.15  % Factorizations                       : 64
% 3.91/11.15  % NegExts                              : 0
% 3.91/11.15  % Equation resolutions                 : 799
% 3.91/11.15  % Disequality decompositions           : 0
% 3.91/11.15  % Total rewrite steps                  : 1088
% 3.91/11.15  % ...of those cached                   : 743
% 3.91/11.15  % Propositional unsat checks           : 0
% 3.91/11.15  %    Propositional check models        : 0
% 3.91/11.15  %    Propositional check unsatisfiable : 0
% 3.91/11.15  %    Propositional clauses             : 0
% 3.91/11.15  %    Propositional clauses after purity: 0
% 3.91/11.15  %    Propositional unsat core size     : 0
% 3.91/11.15  %    Propositional preprocessing time  : 0.000
% 3.91/11.15  %    Propositional encoding time       : 0.000
% 3.91/11.15  %    Propositional solver time         : 0.000
% 3.91/11.15  %    Success case prop preproc time    : 0.000
% 3.91/11.15  %    Success case prop encoding time   : 0.000
% 3.91/11.15  %    Success case prop solver time     : 0.000
% 3.91/11.15  % Current number of processed clauses  : 1396
% 3.91/11.15  %    Positive orientable unit clauses  : 248
% 3.91/11.15  %    Positive unorientable unit clauses: 5
% 3.91/11.15  %    Negative unit clauses             : 59
% 3.91/11.15  %    Non-unit-clauses                  : 1084
% 3.91/11.15  % Current number of unprocessed clauses: 5538
% 3.91/11.15  % ...number of literals in the above   : 16939
% 3.91/11.15  % Current number of archived formulas  : 0
% 3.91/11.15  % Current number of archived clauses   : 1122
% 3.91/11.15  % Clause-clause subsumption calls (NU) : 369501
% 3.91/11.15  % Rec. Clause-clause subsumption calls : 261589
% 3.91/11.15  % Non-unit clause-clause subsumptions  : 639
% 3.91/11.15  % Unit Clause-clause subsumption calls : 10666
% 3.91/11.15  % Rewrite failures with RHS unbound    : 0
% 3.91/11.15  % BW rewrite match attempts            : 90
% 3.91/11.15  % BW rewrite match successes           : 42
% 3.91/11.15  % Condensation attempts                : 0
% 3.91/11.15  % Condensation successes               : 0
% 3.91/11.15  % Termbank termtop insertions          : 203514
% 3.91/11.15  % Search garbage collected termcells   : 23648
% 3.91/11.15  
% 3.91/11.15  % -------------------------------------------------
% 3.91/11.15  % User time                : 0.562 s
% 3.91/11.15  % System time              : 0.036 s
% 3.91/11.15  % Total time               : 0.598 s
% 3.91/11.15  % Maximum resident set size: 10928 pages
% 3.91/11.15  
% 3.91/11.15  % -------------------------------------------------
% 3.91/11.15  % User time                : 2.468 s
% 3.91/11.15  % System time              : 0.152 s
% 3.91/11.15  % Total time               : 2.620 s
% 3.91/11.15  % Maximum resident set size: 6656 pages
% 3.91/11.15  % E exiting
%------------------------------------------------------------------------------