%------------------------------------------------------------------------------
% File : E-SAT---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 : n003.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 12:57:33 PM UTC 2026
% Result : Theorem 1.20s 1.02s
% Output : CNFRefutation 1.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of formulae : 49 ( 34 unt; 0 typ; 0 def)
% Number of atoms : 98 ( 69 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 81 ( 32 ~; 27 |; 10 &)
% ( 1 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 23 ( 22 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 37 ( 37 usr; 15 con; 0-4 aty)
% Number of variables : 68 ( 0 sgn 64 !; 4 ?; 68 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$': $tType ).
tff(decl_sort2,type,
'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_fset$': $tType ).
tff(decl_sort3,type,
'C_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext$': $tType ).
tff(decl_sort4,type,
'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap_a_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_fset_fun$': $tType ).
tff(decl_sort5,type,
'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap$': $tType ).
tff(decl_sort6,type,
'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_RObject_ext_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option_fun$': $tType ).
tff(decl_sort7,type,
'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_RObject_ext$': $tType ).
tff(decl_sort8,type,
'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$': $tType ).
tff(decl_sort9,type,
'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_set$': $tType ).
tff(decl_sort10,type,
'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option_fun$': $tType ).
tff(decl_sort11,type,
'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_fset_bool_fun$': $tType ).
tff(decl_sort12,type,
'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext$': $tType ).
tff(decl_sort13,type,
'C_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option$': $tType ).
tff(decl_sort14,type,
'C_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$': $tType ).
tff(decl_sort15,type,
'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_a_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option_fun_fun$': $tType ).
tff(decl_sort16,type,
'A_element_ptr$': $tType ).
tff(decl_sort17,type,
'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option_fun$': $tType ).
tff(decl_sort18,type,
'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$': $tType ).
tff(decl_sort19,type,
'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_list_a_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_list_fun$': $tType ).
tff(decl_sort20,type,
'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option_fun_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option_fun$': $tType ).
tff(decl_sort21,type,
'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$': $tType ).
tff(decl_sort22,type,
'A_element_ptr_a_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun_fun$': $tType ).
tff(decl_29,type,
'fun_app$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$' ).
tff(decl_55,type,
'fmember$': '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$' ).
tff(decl_272,type,
'bind$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$' ).
tff(decl_408,type,
'get_E_l_e_m_e_n_t$': '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$' ).
tff(conjecture54,conjecture,
? [X111: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext$'] : ( '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 ) )
=> ~ $true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom530) ).
tff(hypothesis59,hypothesis,
! [X1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] :
( '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$',X116) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis59) ).
tff(axiom70,axiom,
! [X1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$',X134: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_fset$'] :
( 'member$c'(X1,'fset$b'(X134))
<=> 'fun_app$aw'('fmember$'(X1),X134) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom70) ).
tff(axiom295,axiom,
! [X702: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext$'] : ( '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(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$') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom136) ).
tff(axiom231,axiom,
! [X529: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$'] : ( '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$'(X342,X343)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom153) ).
tff(axiom298,axiom,
! [X705: 'C_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext$'] : ( '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$'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis57) ).
tff(c_0_12,negated_conjecture,
~ ? [X111: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext$'] : ( 'fun_app$aj'('fun_app$ak'('get_N_o_d_e$','node_ptr$'),'h$') = 'fun_app$g'('some$',X111) ),
inference(assume_negation,[status(cth)],[conjecture54]) ).
tff(c_0_13,plain,
! [X3086: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$'] :
( ( ~ $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$d'(X3086)) ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom530])])])]) ).
tff(c_0_14,hypothesis,
! [X1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] :
( '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$',X116) ) ) ) ),
inference(fof_simplification,[status(thm)],[hypothesis59]) ).
tff(c_0_15,plain,
! [X1789: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$',X1790: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_fset$'] :
( ( 'member$c'(X1789,'fset$b'(X1790))
| ~ 'fun_app$aw'('fmember$'(X1789),X1790) )
& ( 'fun_app$aw'('fmember$'(X1789),X1790)
| ~ 'member$c'(X1789,'fset$b'(X1790)) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom70])])]) ).
tff(c_0_16,negated_conjecture,
! [X1764: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext$'] : ( 'fun_app$aj'('fun_app$ak'('get_N_o_d_e$','node_ptr$'),'h$') != 'fun_app$g'('some$',X1764) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).
tcf(c_0_17,plain,
! [X24: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$'] :
( ~ $true
| ( X24 = 'none$b' )
| ( X24 = 'fun_app$g'('some$','the$d'(X24)) ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
tff(c_0_18,plain,
! [X702: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext$'] : ( 'none$b' != 'fun_app$g'('some$',X702) ),
inference(fof_simplification,[status(thm)],[axiom295]) ).
tff(c_0_19,hypothesis,
! [X1769: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] :
( ( ~ '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$') != X1769 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])])]) ).
tcf(c_0_20,plain,
! [X1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$',X134: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_fset$'] :
( ~ 'fun_app$aw'('fmember$'(X1),X134)
| 'member$c'(X1,'fset$b'(X134)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
tcf(c_0_21,hypothesis,
'fun_app$aw'('fmember$'('node_ptr$'),'fun_app$au'('node_ptr_kinds$','h$')),
inference(split_conjunct,[status(thm)],[hypothesis61]) ).
tcf(c_0_22,negated_conjecture,
! [X12: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext$'] : 'fun_app$aj'('fun_app$ak'('get_N_o_d_e$','node_ptr$'),'h$') != 'fun_app$g'('some$',X12),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
tcf(c_0_23,plain,
! [X24: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$'] :
( ( X24 = 'fun_app$g'('some$','the$d'(X24)) )
| ( X24 = 'none$b' ) ),
inference(cn,[status(thm)],[c_0_17]) ).
tff(c_0_24,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_18])]) ).
tff(c_0_25,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])])])])]) ).
tff(c_0_26,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$') ),
inference(variable_rename,[status(thm)],[axiom136]) ).
tcf(c_0_27,hypothesis,
! [X1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] :
( ~ '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$') = X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
tcf(c_0_28,hypothesis,
'member$c'('node_ptr$','fset$b'('fun_app$au'('node_ptr_kinds$','h$'))),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
tcf(c_0_29,negated_conjecture,
'fun_app$aj'('fun_app$ak'('get_N_o_d_e$','node_ptr$'),'h$') = 'none$b',
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23])]) ).
tcf(c_0_30,plain,
! [X12: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext$'] : 'none$b' != 'fun_app$g'('some$',X12),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
tff(c_0_31,plain,
! [X2254: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$'] : ( 'bind$g'(X2254,'uuq$') = 'none$a' ),
inference(variable_rename,[status(thm)],[axiom231]) ).
tff(c_0_32,plain,
! [X1978: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$',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$'(X1979,X1980)) ),
inference(variable_rename,[status(thm)],[axiom153]) ).
tcf(c_0_33,plain,
! [X47: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$',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$',esk11_4(X317,X24,X47,X50)) ) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
tcf(c_0_34,plain,
! [X7: 'A_element_ptr$',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_26]) ).
tcf(c_0_35,hypothesis,
'cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r$'('element_ptr$') = 'node_ptr$',
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),c_0_30]) ).
tcf(c_0_36,plain,
! [X24: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$'] : 'bind$g'(X24,'uuq$') = 'none$a',
inference(split_conjunct,[status(thm)],[c_0_31]) ).
tcf(c_0_37,plain,
! [X24: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$',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$'(X56,X47)),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
tcf(c_0_38,plain,
! [X24: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$',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_33]) ).
tff(c_0_39,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_40,hypothesis,
! [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$'] : 'bind$g'('fun_app$aj'('fun_app$ak'('get_N_o_d_e$','node_ptr$'),X121),'cast_N_o_d_e_2_E_l_e_m_e_n_t$') = 'fun_app$ar'('fun_app$as'('get_E_l_e_m_e_n_t$','element_ptr$'),X121),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
tcf(c_0_41,hypothesis,
'fun_app$ar'('fun_app$as'('get_E_l_e_m_e_n_t$','element_ptr$'),'h$') = 'fun_app$i'('some$a','x$'),
inference(split_conjunct,[status(thm)],[hypothesis57]) ).
tcf(c_0_42,plain,
! [X24: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_option$',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$a',
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
tcf(c_0_43,plain,
! [X47: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$',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$b',X50),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_38])]) ).
tff(c_0_44,plain,
! [X2480: 'C_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext$'] : ( 'none$a' != 'fun_app$i'('some$a',X2480) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_39])]) ).
tcf(c_0_45,negated_conjecture,
'bind$g'('none$b','cast_N_o_d_e_2_E_l_e_m_e_n_t$') = 'fun_app$i'('some$a','x$'),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_29]),c_0_41]) ).
tcf(c_0_46,plain,
! [X47: 'C_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$'] : 'bind$g'('none$b',X47) = 'none$a',
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
tcf(c_0_47,plain,
! [X16: 'C_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext$'] : 'none$a' != 'fun_app$i'('some$a',X16),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_48,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_46]),c_0_47]),
[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
% 0.10/0.36 % Computer : n003.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 22:35:15 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 1.20/1.02 % Version: 3.5.1
% 1.20/1.02 % Preprocessing class: FMLMSMSMSSSNFFN.
% 1.20/1.02 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.20/1.02 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.20/1.02 % Starting new_bool_3 with 300s (1) cores
% 1.20/1.02 % Starting new_bool_1 with 300s (1) cores
% 1.20/1.02 % Starting sh5l with 300s (1) cores
% 1.20/1.02 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2758367 completed with status 0
% 1.20/1.02 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 1.20/1.02 % Preprocessing class: FMLMSMSMSSSNFFN.
% 1.20/1.02 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.20/1.02 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.20/1.02 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.20/1.02 % No SInE strategy applied
% 1.20/1.02 % Search class: FGHSM-SSLM32-DFFFFFNN
% 1.20/1.02 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 1.20/1.02 % Starting SubtermCWHack with 136s (1) cores
% 1.20/1.02 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 1.20/1.02 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 113s (1) cores
% 1.20/1.02 % Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 113s (1) cores
% 1.20/1.02 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 113s (1) cores
% 1.20/1.02 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with pid 2758376 completed with status 0
% 1.20/1.02 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 1.20/1.02 % Preprocessing class: FMLMSMSMSSSNFFN.
% 1.20/1.02 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.20/1.02 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.20/1.02 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.20/1.02 % No SInE strategy applied
% 1.20/1.02 % Search class: FGHSM-SSLM32-DFFFFFNN
% 1.20/1.02 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 1.20/1.02 % Starting SubtermCWHack with 136s (1) cores
% 1.20/1.02 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 1.20/1.02 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 113s (1) cores
% 1.20/1.02 % Preprocessing time : 0.021 s
% 1.20/1.02 % Presaturation interreduction done
% 1.20/1.02
% 1.20/1.02 % Proof found!
% 1.20/1.02 % SZS status Theorem
% 1.20/1.02 % SZS output start CNFRefutation
% See solution above
% 1.20/1.02 % Parsed axioms : 1320
% 1.20/1.02 % Removed by relevancy pruning/SinE : 0
% 1.20/1.02 % Initial clauses : 2276
% 1.20/1.02 % Removed in clause preprocessing : 989
% 1.20/1.02 % Initial clauses in saturation : 1287
% 1.20/1.02 % Processed clauses : 3990
% 1.20/1.02 % ...of these trivial : 115
% 1.20/1.02 % ...subsumed : 1140
% 1.20/1.02 % ...remaining for further processing : 2735
% 1.20/1.02 % Other redundant clauses eliminated : 590
% 1.20/1.02 % Clauses deleted for lack of memory : 0
% 1.20/1.02 % Backward-subsumed : 46
% 1.20/1.02 % Backward-rewritten : 44
% 1.20/1.02 % Generated clauses : 5988
% 1.20/1.02 % ...of the previous two non-redundant : 4385
% 1.20/1.02 % ...aggressively subsumed : 0
% 1.20/1.02 % Contextual simplify-reflections : 10
% 1.20/1.02 % Paramodulations : 5331
% 1.20/1.02 % Factorizations : 34
% 1.20/1.02 % NegExts : 0
% 1.20/1.02 % Equation resolutions : 634
% 1.20/1.02 % Disequality decompositions : 0
% 1.20/1.02 % Total rewrite steps : 1886
% 1.20/1.02 % ...of those cached : 1324
% 1.20/1.02 % Propositional unsat checks : 0
% 1.20/1.02 % Propositional check models : 0
% 1.20/1.02 % Propositional check unsatisfiable : 0
% 1.20/1.02 % Propositional clauses : 0
% 1.20/1.02 % Propositional clauses after purity: 0
% 1.20/1.02 % Propositional unsat core size : 0
% 1.20/1.02 % Propositional preprocessing time : 0.000
% 1.20/1.02 % Propositional encoding time : 0.000
% 1.20/1.02 % Propositional solver time : 0.000
% 1.20/1.02 % Success case prop preproc time : 0.000
% 1.20/1.02 % Success case prop encoding time : 0.000
% 1.20/1.02 % Success case prop solver time : 0.000
% 1.20/1.02 % Current number of processed clauses : 1403
% 1.20/1.02 % Positive orientable unit clauses : 424
% 1.20/1.02 % Positive unorientable unit clauses: 5
% 1.20/1.02 % Negative unit clauses : 75
% 1.20/1.02 % Non-unit-clauses : 899
% 1.20/1.02 % Current number of unprocessed clauses: 2622
% 1.20/1.02 % ...number of literals in the above : 6485
% 1.20/1.02 % Current number of archived formulas : 0
% 1.20/1.02 % Current number of archived clauses : 1181
% 1.20/1.02 % Clause-clause subsumption calls (NU) : 295035
% 1.20/1.02 % Rec. Clause-clause subsumption calls : 226066
% 1.20/1.02 % Non-unit clause-clause subsumptions : 920
% 1.20/1.02 % Unit Clause-clause subsumption calls : 13166
% 1.20/1.02 % Rewrite failures with RHS unbound : 28
% 1.20/1.02 % BW rewrite match attempts : 194
% 1.20/1.02 % BW rewrite match successes : 44
% 1.20/1.02 % Condensation attempts : 0
% 1.20/1.02 % Condensation successes : 0
% 1.20/1.02 % Termbank termtop insertions : 183668
% 1.20/1.02 % Search garbage collected termcells : 23648
% 1.20/1.02
% 1.20/1.02 % -------------------------------------------------
% 1.20/1.02 % User time : 0.490 s
% 1.20/1.02 % System time : 0.031 s
% 1.20/1.02 % Total time : 0.521 s
% 1.20/1.02 % Maximum resident set size: 10928 pages
% 1.20/1.02
% 1.20/1.02 % -------------------------------------------------
% 1.20/1.02 % User time : 2.111 s
% 1.20/1.02 % System time : 0.135 s
% 1.20/1.02 % Total time : 2.247 s
% 1.20/1.02 % Maximum resident set size: 6912 pages
% 1.20/1.02 % E exiting
%------------------------------------------------------------------------------