TSTP Solution File: ITP307_1 by Z3---4.8.9.0
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%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Sep 17 04:18:41 EDT 2022
% Result : Theorem 0.63s 0.70s
% Output : Proof 0.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% 0.08/0.15 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.36 % Computer : n001.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Sep 1 07:38:35 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.37 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.37 Usage: tptp [options] [-file:]file
% 0.14/0.37 -h, -? prints this message.
% 0.14/0.37 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.37 -m, -model generate model.
% 0.14/0.37 -p, -proof generate proof.
% 0.14/0.37 -c, -core generate unsat core of named formulas.
% 0.14/0.37 -st, -statistics display statistics.
% 0.14/0.37 -t:timeout set timeout (in second).
% 0.14/0.37 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.37 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.37 -<param>:<value> configuration parameter and value.
% 0.14/0.37 -o:<output-file> file to place output in.
% 0.63/0.70 % SZS status Theorem
% 0.63/0.70 % SZS output start Proof
% 0.63/0.70 tff(tptp_fun__fun_app_i__type, type, (
% 0.63/0.70 tptp_fun__fun_app_i_: ( 'A_element_ptr_fset_bool_fun$' * 'A_element_ptr_fset$' ) > $o)).
% 0.63/0.70 tff(tptp_fun__element_ptr_kinds___type, type, (
% 0.63/0.70 tptp_fun__element_ptr_kinds__: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$' > 'A_element_ptr_fset$')).
% 0.63/0.70 tff(tptp_fun__h___type, type, (
% 0.63/0.70 tptp_fun__h__: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$')).
% 0.63/0.70 tff(tptp_fun__fun_app_j__type, type, (
% 0.63/0.70 tptp_fun__fun_app_j_: ( 'A_element_ptr_a_element_ptr_fset_bool_fun_fun$' * 'A_element_ptr$' ) > 'A_element_ptr_fset_bool_fun$')).
% 0.63/0.70 tff(tptp_fun__element_ptr___type, type, (
% 0.63/0.70 tptp_fun__element_ptr__: 'A_element_ptr$')).
% 0.63/0.70 tff(tptp_fun__map_fun___type, type, (
% 0.63/0.70 tptp_fun__map_fun__: ( 'A_element_ptr_a_element_ptr_fun$' * 'A_element_ptr_set_bool_fun_a_element_ptr_fset_bool_fun_fun$' * 'A_element_ptr_a_element_ptr_set_bool_fun_fun$' ) > 'A_element_ptr_a_element_ptr_fset_bool_fun_fun$')).
% 0.63/0.70 tff(tptp_fun__member_e__type, type, (
% 0.63/0.70 tptp_fun__member_e_: 'A_element_ptr_a_element_ptr_set_bool_fun_fun$')).
% 0.63/0.70 tff(tptp_fun__map_fun_a__type, type, (
% 0.63/0.70 tptp_fun__map_fun_a_: ( 'A_element_ptr_fset_a_element_ptr_set_fun$' * 'Bool_bool_fun$' ) > 'A_element_ptr_set_bool_fun_a_element_ptr_fset_bool_fun_fun$')).
% 0.63/0.70 tff(tptp_fun__id_a__type, type, (
% 0.63/0.70 tptp_fun__id_a_: 'Bool_bool_fun$')).
% 0.63/0.70 tff(tptp_fun__fset___type, type, (
% 0.63/0.70 tptp_fun__fset__: 'A_element_ptr_fset_a_element_ptr_set_fun$')).
% 0.63/0.70 tff(tptp_fun__id___type, type, (
% 0.63/0.70 tptp_fun__id__: 'A_element_ptr_a_element_ptr_fun$')).
% 0.63/0.70 tff(tptp_fun__none___type, type, (
% 0.63/0.70 tptp_fun__none__: 'C_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option$')).
% 0.63/0.70 tff(tptp_fun__fun_app_k__type, type, (
% 0.63/0.70 tptp_fun__fun_app_k_: ( '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_sum_RNode_ext_i_sum_heap_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$' * 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$' ) > 'C_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option$')).
% 0.63/0.70 tff(tptp_fun__get_E_l_e_m_e_n_t___type, type, (
% 0.63/0.70 tptp_fun__get_E_l_e_m_e_n_t__: 'A_element_ptr$' > '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_sum_RNode_ext_i_sum_heap_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$')).
% 0.63/0.70 tff(tptp_fun__bind___type, type, (
% 0.63/0.70 tptp_fun__bind__: ( 'C_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_RObject_ext_option$' * 'C_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$' ) > 'C_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option$')).
% 0.63/0.70 tff(tptp_fun__cast_N_o_d_e_2_E_l_e_m_e_n_t___type, type, (
% 0.63/0.70 tptp_fun__cast_N_o_d_e_2_E_l_e_m_e_n_t__: 'C_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$')).
% 0.63/0.70 tff(tptp_fun__get_N_o_d_e___type, type, (
% 0.63/0.70 tptp_fun__get_N_o_d_e__: ( 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$' * '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_sum_RNode_ext_i_sum_heap$' ) > 'C_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_RObject_ext_option$')).
% 0.63/0.70 tff(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r___type, type, (
% 0.63/0.70 tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__: 'A_element_ptr$' > 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$')).
% 0.63/0.70 tff(tptp_fun__fun_app_m__type, type, (
% 0.63/0.70 tptp_fun__fun_app_m_: ( 'C_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$' * 'C_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_RObject_ext$' ) > 'C_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option$')).
% 0.63/0.70 tff(tptp_fun__the_a__type, type, (
% 0.63/0.70 tptp_fun__the_a_: 'C_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_RObject_ext_option$' > 'C_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_RObject_ext$')).
% 0.63/0.70 tff(tptp_fun__none_b__type, type, (
% 0.63/0.70 tptp_fun__none_b_: 'C_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_RObject_ext_option$')).
% 0.63/0.70 tff(tptp_fun__fun_app_n__type, type, (
% 0.63/0.70 tptp_fun__fun_app_n_: ( 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_fset_bool_fun$' * 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_fset$' ) > $o)).
% 0.63/0.70 tff(tptp_fun__node_ptr_kinds___type, type, (
% 0.63/0.70 tptp_fun__node_ptr_kinds__: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$' > 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_fset$')).
% 0.63/0.70 tff(tptp_fun__fun_app_o__type, type, (
% 0.63/0.70 tptp_fun__fun_app_o_: ( 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_a_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_fset_bool_fun_fun$' * 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$' ) > 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_fset_bool_fun$')).
% 0.63/0.70 tff(tptp_fun__map_fun_b__type, type, (
% 0.63/0.70 tptp_fun__map_fun_b_: ( 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_a_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_fun$' * 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_set_bool_fun_a_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_fset_bool_fun_fun$' * 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_a_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_set_bool_fun_fun$' ) > 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_a_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_fset_bool_fun_fun$')).
% 0.63/0.70 tff(tptp_fun__member_a__type, type, (
% 0.63/0.70 tptp_fun__member_a_: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_a_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_set_bool_fun_fun$')).
% 0.63/0.70 tff(tptp_fun__map_fun_c__type, type, (
% 0.63/0.70 tptp_fun__map_fun_c_: ( 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_fset_a_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_set_fun$' * 'Bool_bool_fun$' ) > 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_set_bool_fun_a_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_fset_bool_fun_fun$')).
% 0.63/0.70 tff(tptp_fun__fset_a__type, type, (
% 0.63/0.70 tptp_fun__fset_a_: '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_fun$')).
% 0.63/0.70 tff(tptp_fun__id_b__type, type, (
% 0.63/0.70 tptp_fun__id_b_: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_a_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_fun$')).
% 0.63/0.70 tff(tptp_fun__fmember___type, type, (
% 0.63/0.70 tptp_fun__fmember__: 'A_element_ptr_a_element_ptr_fset_bool_fun_fun$')).
% 0.63/0.70 tff(tptp_fun__fmember_a__type, type, (
% 0.63/0.70 tptp_fun__fmember_a_: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_a_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_fset_bool_fun_fun$')).
% 0.63/0.70 tff(tptp_fun__fun_app_l__type, type, (
% 0.63/0.70 tptp_fun__fun_app_l_: ( '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_sum_RNode_ext_i_sum_heap_bool_fun$' * 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$' ) > $o)).
% 0.63/0.70 tff(tptp_fun__a_type_wf_d__type, type, (
% 0.63/0.70 tptp_fun__a_type_wf_d_: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap_bool_fun$')).
% 0.63/0.70 tff(tptp_fun__l_type_wf_N_o_d_e___type, type, (
% 0.63/0.70 tptp_fun__l_type_wf_N_o_d_e__: '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_sum_RNode_ext_i_sum_heap_bool_fun$' > $o)).
% 0.63/0.70 tff(tptp_fun__type_wf_c__type, type, (
% 0.63/0.70 tptp_fun__type_wf_c_: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap_bool_fun$')).
% 0.63/0.70 tff(tptp_fun__type_wf___type, type, (
% 0.63/0.70 tptp_fun__type_wf__: '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_sum_RNode_ext_i_sum_heap_bool_fun$')).
% 0.63/0.70 tff(tptp_fun__l_get_N_o_d_e_lemmas___type, type, (
% 0.63/0.70 tptp_fun__l_get_N_o_d_e_lemmas__: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap_bool_fun$' > $o)).
% 0.63/0.70 tff(tptp_fun__fun_app_t__type, type, (
% 0.63/0.70 tptp_fun__fun_app_t_: ( 'A_element_ptr_set_bool_fun$' * 'A_element_ptr_set$' ) > $o)).
% 0.63/0.70 tff(tptp_fun__fun_app_v__type, type, (
% 0.63/0.70 tptp_fun__fun_app_v_: ( 'A_element_ptr_fset_a_element_ptr_set_fun$' * 'A_element_ptr_fset$' ) > 'A_element_ptr_set$')).
% 0.63/0.70 tff(tptp_fun__fun_app_u__type, type, (
% 0.63/0.70 tptp_fun__fun_app_u_: ( 'A_element_ptr_a_element_ptr_set_bool_fun_fun$' * 'A_element_ptr$' ) > 'A_element_ptr_set_bool_fun$')).
% 0.63/0.70 tff(tptp_fun__a_type_wf___type, type, (
% 0.63/0.70 tptp_fun__a_type_wf__: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap_bool_fun$')).
% 0.63/0.70 tff(tptp_fun_A__questionmark_v1_8_type, type, (
% 0.63/0.70 tptp_fun_A__questionmark_v1_8: '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_sum_RNode_ext_i_sum_heap$' > 'A_element_ptr$')).
% 0.63/0.70 tff(tptp_fun__l_type_wf_E_l_e_m_e_n_t___type, type, (
% 0.63/0.70 tptp_fun__l_type_wf_E_l_e_m_e_n_t__: '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_sum_RNode_ext_i_sum_heap_bool_fun$' > $o)).
% 0.63/0.70 tff(tptp_fun__type_wf_a__type, type, (
% 0.63/0.70 tptp_fun__type_wf_a_: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap_bool_fun$')).
% 0.63/0.70 tff(1,plain,
% 0.63/0.70 (^[A__questionmark_v0: 'A_element_ptr$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : refl((tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v0), A__questionmark_v1) = tptp_fun__bind__(tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(A__questionmark_v0), A__questionmark_v1), |'cast_N_o_d_e_2_E_l_e_m_e_n_t$'|)) <=> (tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v0), A__questionmark_v1) = tptp_fun__bind__(tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(A__questionmark_v0), A__questionmark_v1), |'cast_N_o_d_e_2_E_l_e_m_e_n_t$'|)))),
% 0.63/0.70 inference(bind,[status(th)],[])).
% 0.63/0.70 tff(2,plain,
% 0.63/0.70 (![A__questionmark_v0: 'A_element_ptr$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v0), A__questionmark_v1) = tptp_fun__bind__(tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(A__questionmark_v0), A__questionmark_v1), |'cast_N_o_d_e_2_E_l_e_m_e_n_t$'|)) <=> ![A__questionmark_v0: 'A_element_ptr$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v0), A__questionmark_v1) = tptp_fun__bind__(tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(A__questionmark_v0), A__questionmark_v1), |'cast_N_o_d_e_2_E_l_e_m_e_n_t$'|))),
% 0.63/0.70 inference(quant_intro,[status(thm)],[1])).
% 0.63/0.70 tff(3,plain,
% 0.63/0.70 (![A__questionmark_v0: 'A_element_ptr$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v0), A__questionmark_v1) = tptp_fun__bind__(tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(A__questionmark_v0), A__questionmark_v1), |'cast_N_o_d_e_2_E_l_e_m_e_n_t$'|)) <=> ![A__questionmark_v0: 'A_element_ptr$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v0), A__questionmark_v1) = tptp_fun__bind__(tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(A__questionmark_v0), A__questionmark_v1), |'cast_N_o_d_e_2_E_l_e_m_e_n_t$'|))),
% 0.63/0.70 inference(rewrite,[status(thm)],[])).
% 0.63/0.70 tff(4,axiom,(![A__questionmark_v0: 'A_element_ptr$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v0), A__questionmark_v1) = tptp_fun__bind__(tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(A__questionmark_v0), A__questionmark_v1), |'cast_N_o_d_e_2_E_l_e_m_e_n_t$'|))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom106')).
% 0.63/0.70 tff(5,plain,
% 0.63/0.70 (![A__questionmark_v0: 'A_element_ptr$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v0), A__questionmark_v1) = tptp_fun__bind__(tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(A__questionmark_v0), A__questionmark_v1), |'cast_N_o_d_e_2_E_l_e_m_e_n_t$'|))),
% 0.63/0.70 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.63/0.70 tff(6,plain,(
% 0.63/0.70 ![A__questionmark_v0: 'A_element_ptr$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v0), A__questionmark_v1) = tptp_fun__bind__(tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(A__questionmark_v0), A__questionmark_v1), |'cast_N_o_d_e_2_E_l_e_m_e_n_t$'|))),
% 0.63/0.70 inference(skolemize,[status(sab)],[5])).
% 0.63/0.70 tff(7,plain,
% 0.63/0.70 (![A__questionmark_v0: 'A_element_ptr$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v0), A__questionmark_v1) = tptp_fun__bind__(tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(A__questionmark_v0), A__questionmark_v1), |'cast_N_o_d_e_2_E_l_e_m_e_n_t$'|))),
% 0.63/0.70 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.63/0.70 tff(8,plain,
% 0.63/0.70 ((~![A__questionmark_v0: 'A_element_ptr$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v0), A__questionmark_v1) = tptp_fun__bind__(tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(A__questionmark_v0), A__questionmark_v1), |'cast_N_o_d_e_2_E_l_e_m_e_n_t$'|))) | (tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(|'element_ptr$'|), |'h$'|) = tptp_fun__bind__(tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|), |'h$'|), |'cast_N_o_d_e_2_E_l_e_m_e_n_t$'|))),
% 0.63/0.70 inference(quant_inst,[status(thm)],[])).
% 0.63/0.70 tff(9,plain,
% 0.63/0.70 (tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(|'element_ptr$'|), |'h$'|) = tptp_fun__bind__(tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|), |'h$'|), |'cast_N_o_d_e_2_E_l_e_m_e_n_t$'|)),
% 0.63/0.70 inference(unit_resolution,[status(thm)],[8, 7])).
% 0.63/0.70 tff(10,plain,
% 0.63/0.70 (tptp_fun__bind__(tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|), |'h$'|), |'cast_N_o_d_e_2_E_l_e_m_e_n_t$'|) = tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(|'element_ptr$'|), |'h$'|)),
% 0.63/0.70 inference(symmetry,[status(thm)],[9])).
% 0.63/0.70 tff(11,plain,
% 0.63/0.70 ((tptp_fun__bind__(tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|), |'h$'|), |'cast_N_o_d_e_2_E_l_e_m_e_n_t$'|) = |'none$'|) <=> (tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(|'element_ptr$'|), |'h$'|) = |'none$'|)),
% 0.63/0.70 inference(monotonicity,[status(thm)],[10])).
% 0.63/0.70 tff(12,plain,
% 0.63/0.70 ((tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(|'element_ptr$'|), |'h$'|) = |'none$'|) <=> (tptp_fun__bind__(tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|), |'h$'|), |'cast_N_o_d_e_2_E_l_e_m_e_n_t$'|) = |'none$'|)),
% 0.63/0.70 inference(symmetry,[status(thm)],[11])).
% 0.63/0.70 tff(13,plain,
% 0.63/0.70 ((~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(|'element_ptr$'|), |'h$'|) = |'none$'|)) <=> (~(tptp_fun__bind__(tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|), |'h$'|), |'cast_N_o_d_e_2_E_l_e_m_e_n_t$'|) = |'none$'|))),
% 0.63/0.70 inference(monotonicity,[status(thm)],[12])).
% 0.63/0.70 tff(14,assumption,(~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(|'element_ptr$'|), |'h$'|) = |'none$'|)), introduced(assumption)).
% 0.63/0.70 tff(15,plain,
% 0.63/0.70 (~(tptp_fun__bind__(tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|), |'h$'|), |'cast_N_o_d_e_2_E_l_e_m_e_n_t$'|) = |'none$'|)),
% 0.63/0.70 inference(modus_ponens,[status(thm)],[14, 13])).
% 0.63/0.70 tff(16,plain,
% 0.63/0.70 ((tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(|'fmember$'|, |'element_ptr$'|), tptp_fun__element_ptr_kinds__(|'h$'|)) <=> (tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(|'element_ptr$'|), |'h$'|) = |'none$'|)) <=> (tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(tptp_fun__map_fun__(|'id$'|, tptp_fun__map_fun_a_(|'fset$'|, |'id$a'|), |'member$e'|), |'element_ptr$'|), tptp_fun__element_ptr_kinds__(|'h$'|)) <=> (tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(|'element_ptr$'|), |'h$'|) = |'none$'|))),
% 0.63/0.70 inference(rewrite,[status(thm)],[])).
% 0.63/0.70 tff(17,plain,
% 0.63/0.70 ((tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(|'fmember$'|, |'element_ptr$'|), tptp_fun__element_ptr_kinds__(|'h$'|)) <=> (tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(|'element_ptr$'|), |'h$'|) = |'none$'|)) <=> (tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(|'fmember$'|, |'element_ptr$'|), tptp_fun__element_ptr_kinds__(|'h$'|)) <=> (tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(|'element_ptr$'|), |'h$'|) = |'none$'|))),
% 0.63/0.70 inference(rewrite,[status(thm)],[])).
% 0.63/0.70 tff(18,plain,
% 0.63/0.70 ((~(tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(|'fmember$'|, |'element_ptr$'|), tptp_fun__element_ptr_kinds__(|'h$'|)) <=> (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(|'element_ptr$'|), |'h$'|) = |'none$'|)))) <=> (tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(|'fmember$'|, |'element_ptr$'|), tptp_fun__element_ptr_kinds__(|'h$'|)) <=> (tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(|'element_ptr$'|), |'h$'|) = |'none$'|))),
% 0.63/0.70 inference(rewrite,[status(thm)],[])).
% 0.63/0.70 tff(19,axiom,(~(tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(|'fmember$'|, |'element_ptr$'|), tptp_fun__element_ptr_kinds__(|'h$'|)) <=> (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(|'element_ptr$'|), |'h$'|) = |'none$'|)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','conjecture5')).
% 0.63/0.70 tff(20,plain,
% 0.63/0.70 (tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(|'fmember$'|, |'element_ptr$'|), tptp_fun__element_ptr_kinds__(|'h$'|)) <=> (tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(|'element_ptr$'|), |'h$'|) = |'none$'|)),
% 0.63/0.70 inference(modus_ponens,[status(thm)],[19, 18])).
% 0.63/0.70 tff(21,plain,
% 0.63/0.70 (tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(|'fmember$'|, |'element_ptr$'|), tptp_fun__element_ptr_kinds__(|'h$'|)) <=> (tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(|'element_ptr$'|), |'h$'|) = |'none$'|)),
% 0.63/0.71 inference(modus_ponens,[status(thm)],[20, 17])).
% 0.63/0.71 tff(22,plain,
% 0.63/0.71 (tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(tptp_fun__map_fun__(|'id$'|, tptp_fun__map_fun_a_(|'fset$'|, |'id$a'|), |'member$e'|), |'element_ptr$'|), tptp_fun__element_ptr_kinds__(|'h$'|)) <=> (tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(|'element_ptr$'|), |'h$'|) = |'none$'|)),
% 0.63/0.71 inference(modus_ponens,[status(thm)],[21, 16])).
% 0.63/0.71 tff(23,plain,
% 0.63/0.71 ((~tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(tptp_fun__map_fun__(|'id$'|, tptp_fun__map_fun_a_(|'fset$'|, |'id$a'|), |'member$e'|), |'element_ptr$'|), tptp_fun__element_ptr_kinds__(|'h$'|))) | (tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(|'element_ptr$'|), |'h$'|) = |'none$'|) | (~(tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(tptp_fun__map_fun__(|'id$'|, tptp_fun__map_fun_a_(|'fset$'|, |'id$a'|), |'member$e'|), |'element_ptr$'|), tptp_fun__element_ptr_kinds__(|'h$'|)) <=> (tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(|'element_ptr$'|), |'h$'|) = |'none$'|)))),
% 0.63/0.71 inference(tautology,[status(thm)],[])).
% 0.63/0.71 tff(24,plain,
% 0.63/0.71 ((~tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(tptp_fun__map_fun__(|'id$'|, tptp_fun__map_fun_a_(|'fset$'|, |'id$a'|), |'member$e'|), |'element_ptr$'|), tptp_fun__element_ptr_kinds__(|'h$'|))) | (tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(|'element_ptr$'|), |'h$'|) = |'none$'|)),
% 0.63/0.71 inference(unit_resolution,[status(thm)],[23, 22])).
% 0.63/0.71 tff(25,plain,
% 0.63/0.71 (~tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(tptp_fun__map_fun__(|'id$'|, tptp_fun__map_fun_a_(|'fset$'|, |'id$a'|), |'member$e'|), |'element_ptr$'|), tptp_fun__element_ptr_kinds__(|'h$'|))),
% 0.63/0.71 inference(unit_resolution,[status(thm)],[24, 14])).
% 0.63/0.71 tff(26,plain,
% 0.63/0.71 (^[A__questionmark_v0: 'A_element_ptr$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : refl((tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(A__questionmark_v0)), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(tptp_fun__map_fun__(|'id$'|, tptp_fun__map_fun_a_(|'fset$'|, |'id$a'|), |'member$e'|), A__questionmark_v0), tptp_fun__element_ptr_kinds__(A__questionmark_v1))) <=> (tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(A__questionmark_v0)), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(tptp_fun__map_fun__(|'id$'|, tptp_fun__map_fun_a_(|'fset$'|, |'id$a'|), |'member$e'|), A__questionmark_v0), tptp_fun__element_ptr_kinds__(A__questionmark_v1))))),
% 0.63/0.71 inference(bind,[status(th)],[])).
% 0.63/0.71 tff(27,plain,
% 0.63/0.71 (![A__questionmark_v0: 'A_element_ptr$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(A__questionmark_v0)), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(tptp_fun__map_fun__(|'id$'|, tptp_fun__map_fun_a_(|'fset$'|, |'id$a'|), |'member$e'|), A__questionmark_v0), tptp_fun__element_ptr_kinds__(A__questionmark_v1))) <=> ![A__questionmark_v0: 'A_element_ptr$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(A__questionmark_v0)), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(tptp_fun__map_fun__(|'id$'|, tptp_fun__map_fun_a_(|'fset$'|, |'id$a'|), |'member$e'|), A__questionmark_v0), tptp_fun__element_ptr_kinds__(A__questionmark_v1)))),
% 0.63/0.71 inference(quant_intro,[status(thm)],[26])).
% 0.63/0.71 tff(28,plain,
% 0.63/0.71 (^[A__questionmark_v0: 'A_element_ptr$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : rewrite((tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(|'fmember$a'|, tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(A__questionmark_v0)), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(|'fmember$'|, A__questionmark_v0), tptp_fun__element_ptr_kinds__(A__questionmark_v1))) <=> (tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(A__questionmark_v0)), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(tptp_fun__map_fun__(|'id$'|, tptp_fun__map_fun_a_(|'fset$'|, |'id$a'|), |'member$e'|), A__questionmark_v0), tptp_fun__element_ptr_kinds__(A__questionmark_v1))))),
% 0.63/0.71 inference(bind,[status(th)],[])).
% 0.63/0.71 tff(29,plain,
% 0.63/0.71 (![A__questionmark_v0: 'A_element_ptr$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(|'fmember$a'|, tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(A__questionmark_v0)), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(|'fmember$'|, A__questionmark_v0), tptp_fun__element_ptr_kinds__(A__questionmark_v1))) <=> ![A__questionmark_v0: 'A_element_ptr$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(A__questionmark_v0)), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(tptp_fun__map_fun__(|'id$'|, tptp_fun__map_fun_a_(|'fset$'|, |'id$a'|), |'member$e'|), A__questionmark_v0), tptp_fun__element_ptr_kinds__(A__questionmark_v1)))),
% 0.63/0.71 inference(quant_intro,[status(thm)],[28])).
% 0.63/0.71 tff(30,plain,
% 0.63/0.71 (![A__questionmark_v0: 'A_element_ptr$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(|'fmember$a'|, tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(A__questionmark_v0)), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(|'fmember$'|, A__questionmark_v0), tptp_fun__element_ptr_kinds__(A__questionmark_v1))) <=> ![A__questionmark_v0: 'A_element_ptr$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(|'fmember$a'|, tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(A__questionmark_v0)), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(|'fmember$'|, A__questionmark_v0), tptp_fun__element_ptr_kinds__(A__questionmark_v1)))),
% 0.63/0.71 inference(rewrite,[status(thm)],[])).
% 0.63/0.71 tff(31,axiom,(![A__questionmark_v0: 'A_element_ptr$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(|'fmember$a'|, tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(A__questionmark_v0)), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(|'fmember$'|, A__questionmark_v0), tptp_fun__element_ptr_kinds__(A__questionmark_v1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom49')).
% 0.63/0.71 tff(32,plain,
% 0.63/0.71 (![A__questionmark_v0: 'A_element_ptr$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(|'fmember$a'|, tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(A__questionmark_v0)), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(|'fmember$'|, A__questionmark_v0), tptp_fun__element_ptr_kinds__(A__questionmark_v1)))),
% 0.63/0.71 inference(modus_ponens,[status(thm)],[31, 30])).
% 0.63/0.71 tff(33,plain,
% 0.63/0.71 (![A__questionmark_v0: 'A_element_ptr$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(A__questionmark_v0)), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(tptp_fun__map_fun__(|'id$'|, tptp_fun__map_fun_a_(|'fset$'|, |'id$a'|), |'member$e'|), A__questionmark_v0), tptp_fun__element_ptr_kinds__(A__questionmark_v1)))),
% 0.63/0.71 inference(modus_ponens,[status(thm)],[32, 29])).
% 0.63/0.71 tff(34,plain,(
% 0.63/0.71 ![A__questionmark_v0: 'A_element_ptr$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(A__questionmark_v0)), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(tptp_fun__map_fun__(|'id$'|, tptp_fun__map_fun_a_(|'fset$'|, |'id$a'|), |'member$e'|), A__questionmark_v0), tptp_fun__element_ptr_kinds__(A__questionmark_v1)))),
% 0.63/0.71 inference(skolemize,[status(sab)],[33])).
% 0.63/0.71 tff(35,plain,
% 0.63/0.71 (![A__questionmark_v0: 'A_element_ptr$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(A__questionmark_v0)), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(tptp_fun__map_fun__(|'id$'|, tptp_fun__map_fun_a_(|'fset$'|, |'id$a'|), |'member$e'|), A__questionmark_v0), tptp_fun__element_ptr_kinds__(A__questionmark_v1)))),
% 0.63/0.71 inference(modus_ponens,[status(thm)],[34, 27])).
% 0.63/0.71 tff(36,plain,
% 0.63/0.71 ((~![A__questionmark_v0: 'A_element_ptr$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(A__questionmark_v0)), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(tptp_fun__map_fun__(|'id$'|, tptp_fun__map_fun_a_(|'fset$'|, |'id$a'|), |'member$e'|), A__questionmark_v0), tptp_fun__element_ptr_kinds__(A__questionmark_v1)))) | (tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|)), tptp_fun__node_ptr_kinds__(|'h$'|)) <=> tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(tptp_fun__map_fun__(|'id$'|, tptp_fun__map_fun_a_(|'fset$'|, |'id$a'|), |'member$e'|), |'element_ptr$'|), tptp_fun__element_ptr_kinds__(|'h$'|)))),
% 0.63/0.71 inference(quant_inst,[status(thm)],[])).
% 0.63/0.71 tff(37,plain,
% 0.63/0.71 (tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|)), tptp_fun__node_ptr_kinds__(|'h$'|)) <=> tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(tptp_fun__map_fun__(|'id$'|, tptp_fun__map_fun_a_(|'fset$'|, |'id$a'|), |'member$e'|), |'element_ptr$'|), tptp_fun__element_ptr_kinds__(|'h$'|))),
% 0.63/0.71 inference(unit_resolution,[status(thm)],[36, 35])).
% 0.63/0.71 tff(38,plain,
% 0.63/0.71 ((~(tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|)), tptp_fun__node_ptr_kinds__(|'h$'|)) <=> tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(tptp_fun__map_fun__(|'id$'|, tptp_fun__map_fun_a_(|'fset$'|, |'id$a'|), |'member$e'|), |'element_ptr$'|), tptp_fun__element_ptr_kinds__(|'h$'|)))) | (~tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|)), tptp_fun__node_ptr_kinds__(|'h$'|))) | tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(tptp_fun__map_fun__(|'id$'|, tptp_fun__map_fun_a_(|'fset$'|, |'id$a'|), |'member$e'|), |'element_ptr$'|), tptp_fun__element_ptr_kinds__(|'h$'|))),
% 0.63/0.71 inference(tautology,[status(thm)],[])).
% 0.63/0.71 tff(39,plain,
% 0.63/0.71 ((~tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|)), tptp_fun__node_ptr_kinds__(|'h$'|))) | tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(tptp_fun__map_fun__(|'id$'|, tptp_fun__map_fun_a_(|'fset$'|, |'id$a'|), |'member$e'|), |'element_ptr$'|), tptp_fun__element_ptr_kinds__(|'h$'|))),
% 0.63/0.71 inference(unit_resolution,[status(thm)],[38, 37])).
% 0.63/0.71 tff(40,plain,
% 0.63/0.71 (~tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|)), tptp_fun__node_ptr_kinds__(|'h$'|))),
% 0.63/0.71 inference(unit_resolution,[status(thm)],[39, 25])).
% 0.63/0.71 tff(41,plain,
% 0.63/0.71 (^[A__questionmark_v0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : refl((tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v1) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)) | (~tptp_fun__l_type_wf_N_o_d_e__(A__questionmark_v0))) <=> (tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v1) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)) | (~tptp_fun__l_type_wf_N_o_d_e__(A__questionmark_v0))))),
% 0.63/0.71 inference(bind,[status(th)],[])).
% 0.63/0.71 tff(42,plain,
% 0.63/0.71 (![A__questionmark_v0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v1) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)) | (~tptp_fun__l_type_wf_N_o_d_e__(A__questionmark_v0))) <=> ![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v1) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)) | (~tptp_fun__l_type_wf_N_o_d_e__(A__questionmark_v0)))),
% 0.63/0.71 inference(quant_intro,[status(thm)],[41])).
% 0.63/0.71 tff(43,plain,
% 0.63/0.71 (^[A__questionmark_v0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : trans(monotonicity(trans(monotonicity(rewrite((tptp_fun__l_type_wf_N_o_d_e__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)) <=> (~((~tptp_fun__l_type_wf_N_o_d_e__(A__questionmark_v0)) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))))), ((~(tptp_fun__l_type_wf_N_o_d_e__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) <=> (~(~((~tptp_fun__l_type_wf_N_o_d_e__(A__questionmark_v0)) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))))))), rewrite((~(~((~tptp_fun__l_type_wf_N_o_d_e__(A__questionmark_v0)) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))))) <=> ((~tptp_fun__l_type_wf_N_o_d_e__(A__questionmark_v0)) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)))), ((~(tptp_fun__l_type_wf_N_o_d_e__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) <=> ((~tptp_fun__l_type_wf_N_o_d_e__(A__questionmark_v0)) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))))), (((~(tptp_fun__l_type_wf_N_o_d_e__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) | tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v1)) <=> (((~tptp_fun__l_type_wf_N_o_d_e__(A__questionmark_v0)) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) | tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v1)))), rewrite((((~tptp_fun__l_type_wf_N_o_d_e__(A__questionmark_v0)) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) | tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v1)) <=> (tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v1) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)) | (~tptp_fun__l_type_wf_N_o_d_e__(A__questionmark_v0)))), (((~(tptp_fun__l_type_wf_N_o_d_e__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) | tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v1)) <=> (tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v1) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)) | (~tptp_fun__l_type_wf_N_o_d_e__(A__questionmark_v0)))))),
% 0.63/0.71 inference(bind,[status(th)],[])).
% 0.63/0.71 tff(44,plain,
% 0.63/0.71 (![A__questionmark_v0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : ((~(tptp_fun__l_type_wf_N_o_d_e__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) | tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v1)) <=> ![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v1) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)) | (~tptp_fun__l_type_wf_N_o_d_e__(A__questionmark_v0)))),
% 0.63/0.71 inference(quant_intro,[status(thm)],[43])).
% 0.63/0.71 tff(45,plain,
% 0.63/0.71 (^[A__questionmark_v0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : rewrite(((~(tptp_fun__l_type_wf_N_o_d_e__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) | tptp_fun__fun_app_l_(|'type_wf$c'|, A__questionmark_v1)) <=> ((~(tptp_fun__l_type_wf_N_o_d_e__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) | tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v1)))),
% 0.63/0.71 inference(bind,[status(th)],[])).
% 0.63/0.71 tff(46,plain,
% 0.63/0.71 (![A__questionmark_v0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : ((~(tptp_fun__l_type_wf_N_o_d_e__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) | tptp_fun__fun_app_l_(|'type_wf$c'|, A__questionmark_v1)) <=> ![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : ((~(tptp_fun__l_type_wf_N_o_d_e__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) | tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v1))),
% 0.63/0.71 inference(quant_intro,[status(thm)],[45])).
% 0.63/0.71 tff(47,plain,
% 0.63/0.71 (![A__questionmark_v0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : ((~(tptp_fun__l_type_wf_N_o_d_e__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) | tptp_fun__fun_app_l_(|'type_wf$c'|, A__questionmark_v1)) <=> ![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : ((~(tptp_fun__l_type_wf_N_o_d_e__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) | tptp_fun__fun_app_l_(|'type_wf$c'|, A__questionmark_v1))),
% 0.63/0.71 inference(rewrite,[status(thm)],[])).
% 0.63/0.71 tff(48,plain,
% 0.63/0.71 (^[A__questionmark_v0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : rewrite(((tptp_fun__l_type_wf_N_o_d_e__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)) => tptp_fun__fun_app_l_(|'type_wf$c'|, A__questionmark_v1)) <=> ((~(tptp_fun__l_type_wf_N_o_d_e__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) | tptp_fun__fun_app_l_(|'type_wf$c'|, A__questionmark_v1)))),
% 0.63/0.71 inference(bind,[status(th)],[])).
% 0.63/0.71 tff(49,plain,
% 0.63/0.71 (![A__questionmark_v0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : ((tptp_fun__l_type_wf_N_o_d_e__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)) => tptp_fun__fun_app_l_(|'type_wf$c'|, A__questionmark_v1)) <=> ![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : ((~(tptp_fun__l_type_wf_N_o_d_e__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) | tptp_fun__fun_app_l_(|'type_wf$c'|, A__questionmark_v1))),
% 0.63/0.71 inference(quant_intro,[status(thm)],[48])).
% 0.63/0.71 tff(50,axiom,(![A__questionmark_v0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : ((tptp_fun__l_type_wf_N_o_d_e__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)) => tptp_fun__fun_app_l_(|'type_wf$c'|, A__questionmark_v1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom74')).
% 0.63/0.71 tff(51,plain,
% 0.63/0.71 (![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : ((~(tptp_fun__l_type_wf_N_o_d_e__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) | tptp_fun__fun_app_l_(|'type_wf$c'|, A__questionmark_v1))),
% 0.63/0.71 inference(modus_ponens,[status(thm)],[50, 49])).
% 0.63/0.71 tff(52,plain,
% 0.63/0.71 (![A__questionmark_v0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : ((~(tptp_fun__l_type_wf_N_o_d_e__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) | tptp_fun__fun_app_l_(|'type_wf$c'|, A__questionmark_v1))),
% 0.63/0.71 inference(modus_ponens,[status(thm)],[51, 47])).
% 0.63/0.71 tff(53,plain,
% 0.63/0.71 (![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : ((~(tptp_fun__l_type_wf_N_o_d_e__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) | tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v1))),
% 0.63/0.71 inference(modus_ponens,[status(thm)],[52, 46])).
% 0.63/0.71 tff(54,plain,(
% 0.63/0.71 ![A__questionmark_v0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : ((~(tptp_fun__l_type_wf_N_o_d_e__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) | tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v1))),
% 0.63/0.71 inference(skolemize,[status(sab)],[53])).
% 0.63/0.71 tff(55,plain,
% 0.63/0.71 (![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v1) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)) | (~tptp_fun__l_type_wf_N_o_d_e__(A__questionmark_v0)))),
% 0.63/0.71 inference(modus_ponens,[status(thm)],[54, 44])).
% 0.63/0.71 tff(56,plain,
% 0.63/0.71 (![A__questionmark_v0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v1) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)) | (~tptp_fun__l_type_wf_N_o_d_e__(A__questionmark_v0)))),
% 0.63/0.71 inference(modus_ponens,[status(thm)],[55, 42])).
% 0.63/0.71 tff(57,plain,
% 0.63/0.71 (tptp_fun__l_type_wf_N_o_d_e__(|'type_wf$'|) <=> tptp_fun__l_type_wf_N_o_d_e__(|'type_wf$'|)),
% 0.63/0.71 inference(rewrite,[status(thm)],[])).
% 0.63/0.71 tff(58,axiom,(tptp_fun__l_type_wf_N_o_d_e__(|'type_wf$'|)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom38')).
% 0.63/0.71 tff(59,plain,
% 0.63/0.71 (tptp_fun__l_type_wf_N_o_d_e__(|'type_wf$'|)),
% 0.63/0.71 inference(modus_ponens,[status(thm)],[58, 57])).
% 0.63/0.71 tff(60,plain,
% 0.63/0.71 (tptp_fun__fun_app_l_(|'type_wf$'|, |'h$'|) <=> tptp_fun__fun_app_l_(|'type_wf$'|, |'h$'|)),
% 0.63/0.71 inference(rewrite,[status(thm)],[])).
% 0.63/0.71 tff(61,axiom,(tptp_fun__fun_app_l_(|'type_wf$'|, |'h$'|)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom7')).
% 0.63/0.71 tff(62,plain,
% 0.63/0.71 (tptp_fun__fun_app_l_(|'type_wf$'|, |'h$'|)),
% 0.63/0.71 inference(modus_ponens,[status(thm)],[61, 60])).
% 0.63/0.71 tff(63,plain,
% 0.63/0.71 (((~![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v1) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)) | (~tptp_fun__l_type_wf_N_o_d_e__(A__questionmark_v0)))) | ((~tptp_fun__fun_app_l_(|'type_wf$'|, |'h$'|)) | tptp_fun__fun_app_l_(|'a_type_wf$d'|, |'h$'|) | (~tptp_fun__l_type_wf_N_o_d_e__(|'type_wf$'|)))) <=> ((~![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v1) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)) | (~tptp_fun__l_type_wf_N_o_d_e__(A__questionmark_v0)))) | (~tptp_fun__fun_app_l_(|'type_wf$'|, |'h$'|)) | tptp_fun__fun_app_l_(|'a_type_wf$d'|, |'h$'|) | (~tptp_fun__l_type_wf_N_o_d_e__(|'type_wf$'|)))),
% 0.63/0.71 inference(rewrite,[status(thm)],[])).
% 0.63/0.71 tff(64,plain,
% 0.63/0.71 ((tptp_fun__fun_app_l_(|'a_type_wf$d'|, |'h$'|) | (~tptp_fun__fun_app_l_(|'type_wf$'|, |'h$'|)) | (~tptp_fun__l_type_wf_N_o_d_e__(|'type_wf$'|))) <=> ((~tptp_fun__fun_app_l_(|'type_wf$'|, |'h$'|)) | tptp_fun__fun_app_l_(|'a_type_wf$d'|, |'h$'|) | (~tptp_fun__l_type_wf_N_o_d_e__(|'type_wf$'|)))),
% 0.63/0.71 inference(rewrite,[status(thm)],[])).
% 0.63/0.71 tff(65,plain,
% 0.63/0.71 (((~![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v1) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)) | (~tptp_fun__l_type_wf_N_o_d_e__(A__questionmark_v0)))) | (tptp_fun__fun_app_l_(|'a_type_wf$d'|, |'h$'|) | (~tptp_fun__fun_app_l_(|'type_wf$'|, |'h$'|)) | (~tptp_fun__l_type_wf_N_o_d_e__(|'type_wf$'|)))) <=> ((~![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v1) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)) | (~tptp_fun__l_type_wf_N_o_d_e__(A__questionmark_v0)))) | ((~tptp_fun__fun_app_l_(|'type_wf$'|, |'h$'|)) | tptp_fun__fun_app_l_(|'a_type_wf$d'|, |'h$'|) | (~tptp_fun__l_type_wf_N_o_d_e__(|'type_wf$'|))))),
% 0.63/0.71 inference(monotonicity,[status(thm)],[64])).
% 0.63/0.71 tff(66,plain,
% 0.63/0.71 (((~![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v1) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)) | (~tptp_fun__l_type_wf_N_o_d_e__(A__questionmark_v0)))) | (tptp_fun__fun_app_l_(|'a_type_wf$d'|, |'h$'|) | (~tptp_fun__fun_app_l_(|'type_wf$'|, |'h$'|)) | (~tptp_fun__l_type_wf_N_o_d_e__(|'type_wf$'|)))) <=> ((~![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v1) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)) | (~tptp_fun__l_type_wf_N_o_d_e__(A__questionmark_v0)))) | (~tptp_fun__fun_app_l_(|'type_wf$'|, |'h$'|)) | tptp_fun__fun_app_l_(|'a_type_wf$d'|, |'h$'|) | (~tptp_fun__l_type_wf_N_o_d_e__(|'type_wf$'|)))),
% 0.63/0.71 inference(transitivity,[status(thm)],[65, 63])).
% 0.63/0.71 tff(67,plain,
% 0.63/0.71 ((~![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v1) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)) | (~tptp_fun__l_type_wf_N_o_d_e__(A__questionmark_v0)))) | (tptp_fun__fun_app_l_(|'a_type_wf$d'|, |'h$'|) | (~tptp_fun__fun_app_l_(|'type_wf$'|, |'h$'|)) | (~tptp_fun__l_type_wf_N_o_d_e__(|'type_wf$'|)))),
% 0.63/0.71 inference(quant_inst,[status(thm)],[])).
% 0.63/0.71 tff(68,plain,
% 0.63/0.71 ((~![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v1) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)) | (~tptp_fun__l_type_wf_N_o_d_e__(A__questionmark_v0)))) | (~tptp_fun__fun_app_l_(|'type_wf$'|, |'h$'|)) | tptp_fun__fun_app_l_(|'a_type_wf$d'|, |'h$'|) | (~tptp_fun__l_type_wf_N_o_d_e__(|'type_wf$'|))),
% 0.63/0.71 inference(modus_ponens,[status(thm)],[67, 66])).
% 0.63/0.71 tff(69,plain,
% 0.63/0.71 (tptp_fun__fun_app_l_(|'a_type_wf$d'|, |'h$'|)),
% 0.63/0.71 inference(unit_resolution,[status(thm)],[68, 62, 59, 56])).
% 0.63/0.71 tff(70,plain,
% 0.63/0.71 (tptp_fun__l_get_N_o_d_e_lemmas__(|'type_wf$c'|) <=> tptp_fun__l_get_N_o_d_e_lemmas__(|'a_type_wf$d'|)),
% 0.63/0.71 inference(rewrite,[status(thm)],[])).
% 0.63/0.71 tff(71,plain,
% 0.63/0.71 (tptp_fun__l_get_N_o_d_e_lemmas__(|'type_wf$c'|) <=> tptp_fun__l_get_N_o_d_e_lemmas__(|'type_wf$c'|)),
% 0.63/0.71 inference(rewrite,[status(thm)],[])).
% 0.63/0.71 tff(72,axiom,(tptp_fun__l_get_N_o_d_e_lemmas__(|'type_wf$c'|)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom102')).
% 0.63/0.71 tff(73,plain,
% 0.63/0.71 (tptp_fun__l_get_N_o_d_e_lemmas__(|'type_wf$c'|)),
% 0.63/0.71 inference(modus_ponens,[status(thm)],[72, 71])).
% 0.63/0.71 tff(74,plain,
% 0.63/0.71 (tptp_fun__l_get_N_o_d_e_lemmas__(|'a_type_wf$d'|)),
% 0.63/0.71 inference(modus_ponens,[status(thm)],[73, 70])).
% 0.63/0.71 tff(75,plain,
% 0.63/0.71 (^[A__questionmark_v0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$', A__questionmark_v2: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] : refl(((tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), A__questionmark_v2), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> (~(tptp_fun__get_N_o_d_e__(A__questionmark_v2, A__questionmark_v1) = |'none$b'|))) | (~tptp_fun__l_get_N_o_d_e_lemmas__(A__questionmark_v0)) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) <=> ((tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), A__questionmark_v2), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> (~(tptp_fun__get_N_o_d_e__(A__questionmark_v2, A__questionmark_v1) = |'none$b'|))) | (~tptp_fun__l_get_N_o_d_e_lemmas__(A__questionmark_v0)) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))))),
% 0.63/0.71 inference(bind,[status(th)],[])).
% 0.63/0.71 tff(76,plain,
% 0.63/0.71 (![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$', A__questionmark_v2: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] : ((tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), A__questionmark_v2), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> (~(tptp_fun__get_N_o_d_e__(A__questionmark_v2, A__questionmark_v1) = |'none$b'|))) | (~tptp_fun__l_get_N_o_d_e_lemmas__(A__questionmark_v0)) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) <=> ![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$', A__questionmark_v2: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] : ((tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), A__questionmark_v2), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> (~(tptp_fun__get_N_o_d_e__(A__questionmark_v2, A__questionmark_v1) = |'none$b'|))) | (~tptp_fun__l_get_N_o_d_e_lemmas__(A__questionmark_v0)) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)))),
% 0.63/0.71 inference(quant_intro,[status(thm)],[75])).
% 0.63/0.71 tff(77,plain,
% 0.63/0.71 (^[A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$', A__questionmark_v2: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] : trans(monotonicity(trans(monotonicity(rewrite((tptp_fun__l_get_N_o_d_e_lemmas__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)) <=> (~((~tptp_fun__l_get_N_o_d_e_lemmas__(A__questionmark_v0)) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))))), ((~(tptp_fun__l_get_N_o_d_e_lemmas__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) <=> (~(~((~tptp_fun__l_get_N_o_d_e_lemmas__(A__questionmark_v0)) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))))))), rewrite((~(~((~tptp_fun__l_get_N_o_d_e_lemmas__(A__questionmark_v0)) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))))) <=> ((~tptp_fun__l_get_N_o_d_e_lemmas__(A__questionmark_v0)) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)))), ((~(tptp_fun__l_get_N_o_d_e_lemmas__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) <=> ((~tptp_fun__l_get_N_o_d_e_lemmas__(A__questionmark_v0)) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))))), (((~(tptp_fun__l_get_N_o_d_e_lemmas__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) | (tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), A__questionmark_v2), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> (~(tptp_fun__get_N_o_d_e__(A__questionmark_v2, A__questionmark_v1) = |'none$b'|)))) <=> (((~tptp_fun__l_get_N_o_d_e_lemmas__(A__questionmark_v0)) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) | (tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), A__questionmark_v2), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> (~(tptp_fun__get_N_o_d_e__(A__questionmark_v2, A__questionmark_v1) = |'none$b'|)))))), rewrite((((~tptp_fun__l_get_N_o_d_e_lemmas__(A__questionmark_v0)) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) | (tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), A__questionmark_v2), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> (~(tptp_fun__get_N_o_d_e__(A__questionmark_v2, A__questionmark_v1) = |'none$b'|)))) <=> ((tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), A__questionmark_v2), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> (~(tptp_fun__get_N_o_d_e__(A__questionmark_v2, A__questionmark_v1) = |'none$b'|))) | (~tptp_fun__l_get_N_o_d_e_lemmas__(A__questionmark_v0)) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)))), (((~(tptp_fun__l_get_N_o_d_e_lemmas__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) | (tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), A__questionmark_v2), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> (~(tptp_fun__get_N_o_d_e__(A__questionmark_v2, A__questionmark_v1) = |'none$b'|)))) <=> ((tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), A__questionmark_v2), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> (~(tptp_fun__get_N_o_d_e__(A__questionmark_v2, A__questionmark_v1) = |'none$b'|))) | (~tptp_fun__l_get_N_o_d_e_lemmas__(A__questionmark_v0)) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)))))),
% 0.63/0.71 inference(bind,[status(th)],[])).
% 0.63/0.71 tff(78,plain,
% 0.63/0.71 (![A__questionmark_v0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$', A__questionmark_v2: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] : ((~(tptp_fun__l_get_N_o_d_e_lemmas__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) | (tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), A__questionmark_v2), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> (~(tptp_fun__get_N_o_d_e__(A__questionmark_v2, A__questionmark_v1) = |'none$b'|)))) <=> ![A__questionmark_v0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$', A__questionmark_v2: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] : ((tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), A__questionmark_v2), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> (~(tptp_fun__get_N_o_d_e__(A__questionmark_v2, A__questionmark_v1) = |'none$b'|))) | (~tptp_fun__l_get_N_o_d_e_lemmas__(A__questionmark_v0)) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)))),
% 0.63/0.71 inference(quant_intro,[status(thm)],[77])).
% 0.63/0.71 tff(79,plain,
% 0.63/0.71 (^[A__questionmark_v0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$', A__questionmark_v2: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] : rewrite(((~(tptp_fun__l_get_N_o_d_e_lemmas__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) | (tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(|'fmember$a'|, A__questionmark_v2), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> (~(tptp_fun__get_N_o_d_e__(A__questionmark_v2, A__questionmark_v1) = |'none$b'|)))) <=> ((~(tptp_fun__l_get_N_o_d_e_lemmas__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) | (tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), A__questionmark_v2), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> (~(tptp_fun__get_N_o_d_e__(A__questionmark_v2, A__questionmark_v1) = |'none$b'|)))))),
% 0.63/0.71 inference(bind,[status(th)],[])).
% 0.63/0.71 tff(80,plain,
% 0.63/0.71 (![A__questionmark_v0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$', A__questionmark_v2: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] : ((~(tptp_fun__l_get_N_o_d_e_lemmas__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) | (tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(|'fmember$a'|, A__questionmark_v2), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> (~(tptp_fun__get_N_o_d_e__(A__questionmark_v2, A__questionmark_v1) = |'none$b'|)))) <=> ![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$', A__questionmark_v2: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] : ((~(tptp_fun__l_get_N_o_d_e_lemmas__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) | (tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), A__questionmark_v2), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> (~(tptp_fun__get_N_o_d_e__(A__questionmark_v2, A__questionmark_v1) = |'none$b'|))))),
% 0.63/0.71 inference(quant_intro,[status(thm)],[79])).
% 0.63/0.71 tff(81,plain,
% 0.63/0.71 (![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$', A__questionmark_v2: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] : ((~(tptp_fun__l_get_N_o_d_e_lemmas__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) | (tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(|'fmember$a'|, A__questionmark_v2), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> (~(tptp_fun__get_N_o_d_e__(A__questionmark_v2, A__questionmark_v1) = |'none$b'|)))) <=> ![A__questionmark_v0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$', A__questionmark_v2: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] : ((~(tptp_fun__l_get_N_o_d_e_lemmas__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) | (tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(|'fmember$a'|, A__questionmark_v2), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> (~(tptp_fun__get_N_o_d_e__(A__questionmark_v2, A__questionmark_v1) = |'none$b'|))))),
% 0.63/0.71 inference(rewrite,[status(thm)],[])).
% 0.63/0.71 tff(82,plain,
% 0.63/0.71 (^[A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$', A__questionmark_v2: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] : rewrite(((tptp_fun__l_get_N_o_d_e_lemmas__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)) => (tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(|'fmember$a'|, A__questionmark_v2), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> (~(tptp_fun__get_N_o_d_e__(A__questionmark_v2, A__questionmark_v1) = |'none$b'|)))) <=> ((~(tptp_fun__l_get_N_o_d_e_lemmas__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) | (tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(|'fmember$a'|, A__questionmark_v2), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> (~(tptp_fun__get_N_o_d_e__(A__questionmark_v2, A__questionmark_v1) = |'none$b'|)))))),
% 0.63/0.71 inference(bind,[status(th)],[])).
% 0.63/0.71 tff(83,plain,
% 0.63/0.71 (![A__questionmark_v0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$', A__questionmark_v2: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] : ((tptp_fun__l_get_N_o_d_e_lemmas__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)) => (tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(|'fmember$a'|, A__questionmark_v2), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> (~(tptp_fun__get_N_o_d_e__(A__questionmark_v2, A__questionmark_v1) = |'none$b'|)))) <=> ![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$', A__questionmark_v2: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] : ((~(tptp_fun__l_get_N_o_d_e_lemmas__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) | (tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(|'fmember$a'|, A__questionmark_v2), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> (~(tptp_fun__get_N_o_d_e__(A__questionmark_v2, A__questionmark_v1) = |'none$b'|))))),
% 0.63/0.71 inference(quant_intro,[status(thm)],[82])).
% 0.63/0.71 tff(84,axiom,(![A__questionmark_v0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$', A__questionmark_v2: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] : ((tptp_fun__l_get_N_o_d_e_lemmas__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)) => (tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(|'fmember$a'|, A__questionmark_v2), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> (~(tptp_fun__get_N_o_d_e__(A__questionmark_v2, A__questionmark_v1) = |'none$b'|))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom51')).
% 0.63/0.71 tff(85,plain,
% 0.63/0.71 (![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$', A__questionmark_v2: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] : ((~(tptp_fun__l_get_N_o_d_e_lemmas__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) | (tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(|'fmember$a'|, A__questionmark_v2), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> (~(tptp_fun__get_N_o_d_e__(A__questionmark_v2, A__questionmark_v1) = |'none$b'|))))),
% 0.63/0.71 inference(modus_ponens,[status(thm)],[84, 83])).
% 0.63/0.71 tff(86,plain,
% 0.63/0.71 (![A__questionmark_v0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$', A__questionmark_v2: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] : ((~(tptp_fun__l_get_N_o_d_e_lemmas__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) | (tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(|'fmember$a'|, A__questionmark_v2), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> (~(tptp_fun__get_N_o_d_e__(A__questionmark_v2, A__questionmark_v1) = |'none$b'|))))),
% 0.63/0.71 inference(modus_ponens,[status(thm)],[85, 81])).
% 0.63/0.71 tff(87,plain,
% 0.63/0.71 (![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$', A__questionmark_v2: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] : ((~(tptp_fun__l_get_N_o_d_e_lemmas__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) | (tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), A__questionmark_v2), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> (~(tptp_fun__get_N_o_d_e__(A__questionmark_v2, A__questionmark_v1) = |'none$b'|))))),
% 0.63/0.71 inference(modus_ponens,[status(thm)],[86, 80])).
% 0.63/0.71 tff(88,plain,(
% 0.63/0.71 ![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$', A__questionmark_v2: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] : ((~(tptp_fun__l_get_N_o_d_e_lemmas__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) | (tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), A__questionmark_v2), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> (~(tptp_fun__get_N_o_d_e__(A__questionmark_v2, A__questionmark_v1) = |'none$b'|))))),
% 0.63/0.71 inference(skolemize,[status(sab)],[87])).
% 0.63/0.71 tff(89,plain,
% 0.63/0.71 (![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$', A__questionmark_v2: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] : ((tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), A__questionmark_v2), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> (~(tptp_fun__get_N_o_d_e__(A__questionmark_v2, A__questionmark_v1) = |'none$b'|))) | (~tptp_fun__l_get_N_o_d_e_lemmas__(A__questionmark_v0)) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)))),
% 0.63/0.71 inference(modus_ponens,[status(thm)],[88, 78])).
% 0.63/0.71 tff(90,plain,
% 0.63/0.71 (![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$', A__questionmark_v2: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] : ((tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), A__questionmark_v2), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> (~(tptp_fun__get_N_o_d_e__(A__questionmark_v2, A__questionmark_v1) = |'none$b'|))) | (~tptp_fun__l_get_N_o_d_e_lemmas__(A__questionmark_v0)) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)))),
% 0.63/0.71 inference(modus_ponens,[status(thm)],[89, 76])).
% 0.63/0.71 tff(91,plain,
% 0.63/0.71 (((~![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$', A__questionmark_v2: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] : ((tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), A__questionmark_v2), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> (~(tptp_fun__get_N_o_d_e__(A__questionmark_v2, A__questionmark_v1) = |'none$b'|))) | (~tptp_fun__l_get_N_o_d_e_lemmas__(A__questionmark_v0)) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)))) | ((~tptp_fun__fun_app_l_(|'a_type_wf$d'|, |'h$'|)) | (tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|)), tptp_fun__node_ptr_kinds__(|'h$'|)) <=> (~(tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|), |'h$'|) = |'none$b'|))) | (~tptp_fun__l_get_N_o_d_e_lemmas__(|'a_type_wf$d'|)))) <=> ((~![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$', A__questionmark_v2: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] : ((tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), A__questionmark_v2), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> (~(tptp_fun__get_N_o_d_e__(A__questionmark_v2, A__questionmark_v1) = |'none$b'|))) | (~tptp_fun__l_get_N_o_d_e_lemmas__(A__questionmark_v0)) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)))) | (~tptp_fun__fun_app_l_(|'a_type_wf$d'|, |'h$'|)) | (tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|)), tptp_fun__node_ptr_kinds__(|'h$'|)) <=> (~(tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|), |'h$'|) = |'none$b'|))) | (~tptp_fun__l_get_N_o_d_e_lemmas__(|'a_type_wf$d'|)))),
% 0.65/0.71 inference(rewrite,[status(thm)],[])).
% 0.65/0.71 tff(92,plain,
% 0.65/0.71 (((tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|)), tptp_fun__node_ptr_kinds__(|'h$'|)) <=> (~(tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|), |'h$'|) = |'none$b'|))) | (~tptp_fun__l_get_N_o_d_e_lemmas__(|'a_type_wf$d'|)) | (~tptp_fun__fun_app_l_(|'a_type_wf$d'|, |'h$'|))) <=> ((~tptp_fun__fun_app_l_(|'a_type_wf$d'|, |'h$'|)) | (tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|)), tptp_fun__node_ptr_kinds__(|'h$'|)) <=> (~(tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|), |'h$'|) = |'none$b'|))) | (~tptp_fun__l_get_N_o_d_e_lemmas__(|'a_type_wf$d'|)))),
% 0.65/0.71 inference(rewrite,[status(thm)],[])).
% 0.65/0.71 tff(93,plain,
% 0.65/0.71 (((~![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$', A__questionmark_v2: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] : ((tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), A__questionmark_v2), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> (~(tptp_fun__get_N_o_d_e__(A__questionmark_v2, A__questionmark_v1) = |'none$b'|))) | (~tptp_fun__l_get_N_o_d_e_lemmas__(A__questionmark_v0)) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)))) | ((tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|)), tptp_fun__node_ptr_kinds__(|'h$'|)) <=> (~(tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|), |'h$'|) = |'none$b'|))) | (~tptp_fun__l_get_N_o_d_e_lemmas__(|'a_type_wf$d'|)) | (~tptp_fun__fun_app_l_(|'a_type_wf$d'|, |'h$'|)))) <=> ((~![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$', A__questionmark_v2: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] : ((tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), A__questionmark_v2), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> (~(tptp_fun__get_N_o_d_e__(A__questionmark_v2, A__questionmark_v1) = |'none$b'|))) | (~tptp_fun__l_get_N_o_d_e_lemmas__(A__questionmark_v0)) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)))) | ((~tptp_fun__fun_app_l_(|'a_type_wf$d'|, |'h$'|)) | (tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|)), tptp_fun__node_ptr_kinds__(|'h$'|)) <=> (~(tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|), |'h$'|) = |'none$b'|))) | (~tptp_fun__l_get_N_o_d_e_lemmas__(|'a_type_wf$d'|))))),
% 0.65/0.71 inference(monotonicity,[status(thm)],[92])).
% 0.65/0.71 tff(94,plain,
% 0.65/0.71 (((~![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$', A__questionmark_v2: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] : ((tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), A__questionmark_v2), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> (~(tptp_fun__get_N_o_d_e__(A__questionmark_v2, A__questionmark_v1) = |'none$b'|))) | (~tptp_fun__l_get_N_o_d_e_lemmas__(A__questionmark_v0)) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)))) | ((tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|)), tptp_fun__node_ptr_kinds__(|'h$'|)) <=> (~(tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|), |'h$'|) = |'none$b'|))) | (~tptp_fun__l_get_N_o_d_e_lemmas__(|'a_type_wf$d'|)) | (~tptp_fun__fun_app_l_(|'a_type_wf$d'|, |'h$'|)))) <=> ((~![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$', A__questionmark_v2: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] : ((tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), A__questionmark_v2), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> (~(tptp_fun__get_N_o_d_e__(A__questionmark_v2, A__questionmark_v1) = |'none$b'|))) | (~tptp_fun__l_get_N_o_d_e_lemmas__(A__questionmark_v0)) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)))) | (~tptp_fun__fun_app_l_(|'a_type_wf$d'|, |'h$'|)) | (tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|)), tptp_fun__node_ptr_kinds__(|'h$'|)) <=> (~(tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|), |'h$'|) = |'none$b'|))) | (~tptp_fun__l_get_N_o_d_e_lemmas__(|'a_type_wf$d'|)))),
% 0.65/0.72 inference(transitivity,[status(thm)],[93, 91])).
% 0.65/0.72 tff(95,plain,
% 0.65/0.72 ((~![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$', A__questionmark_v2: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] : ((tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), A__questionmark_v2), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> (~(tptp_fun__get_N_o_d_e__(A__questionmark_v2, A__questionmark_v1) = |'none$b'|))) | (~tptp_fun__l_get_N_o_d_e_lemmas__(A__questionmark_v0)) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)))) | ((tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|)), tptp_fun__node_ptr_kinds__(|'h$'|)) <=> (~(tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|), |'h$'|) = |'none$b'|))) | (~tptp_fun__l_get_N_o_d_e_lemmas__(|'a_type_wf$d'|)) | (~tptp_fun__fun_app_l_(|'a_type_wf$d'|, |'h$'|)))),
% 0.65/0.72 inference(quant_inst,[status(thm)],[])).
% 0.65/0.72 tff(96,plain,
% 0.65/0.72 ((~![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$', A__questionmark_v2: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr$'] : ((tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), A__questionmark_v2), tptp_fun__node_ptr_kinds__(A__questionmark_v1)) <=> (~(tptp_fun__get_N_o_d_e__(A__questionmark_v2, A__questionmark_v1) = |'none$b'|))) | (~tptp_fun__l_get_N_o_d_e_lemmas__(A__questionmark_v0)) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)))) | (~tptp_fun__fun_app_l_(|'a_type_wf$d'|, |'h$'|)) | (tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|)), tptp_fun__node_ptr_kinds__(|'h$'|)) <=> (~(tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|), |'h$'|) = |'none$b'|))) | (~tptp_fun__l_get_N_o_d_e_lemmas__(|'a_type_wf$d'|))),
% 0.65/0.72 inference(modus_ponens,[status(thm)],[95, 94])).
% 0.65/0.72 tff(97,plain,
% 0.65/0.72 (tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|)), tptp_fun__node_ptr_kinds__(|'h$'|)) <=> (~(tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|), |'h$'|) = |'none$b'|))),
% 0.65/0.72 inference(unit_resolution,[status(thm)],[96, 90, 74, 69])).
% 0.65/0.72 tff(98,plain,
% 0.65/0.72 ((~(tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|)), tptp_fun__node_ptr_kinds__(|'h$'|)) <=> (~(tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|), |'h$'|) = |'none$b'|)))) | tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|)), tptp_fun__node_ptr_kinds__(|'h$'|)) | (tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|), |'h$'|) = |'none$b'|)),
% 0.65/0.72 inference(tautology,[status(thm)],[])).
% 0.65/0.72 tff(99,plain,
% 0.65/0.72 (tptp_fun__fun_app_n_(tptp_fun__fun_app_o_(tptp_fun__map_fun_b_(|'id$b'|, tptp_fun__map_fun_c_(|'fset$a'|, |'id$a'|), |'member$a'|), tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|)), tptp_fun__node_ptr_kinds__(|'h$'|)) | (tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|), |'h$'|) = |'none$b'|)),
% 0.65/0.72 inference(unit_resolution,[status(thm)],[98, 97])).
% 0.65/0.72 tff(100,plain,
% 0.65/0.72 (tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|), |'h$'|) = |'none$b'|),
% 0.65/0.72 inference(unit_resolution,[status(thm)],[99, 40])).
% 0.65/0.72 tff(101,plain,
% 0.65/0.72 (((tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|), |'h$'|) = |'none$b'|) | (tptp_fun__fun_app_m_(|'cast_N_o_d_e_2_E_l_e_m_e_n_t$'|, tptp_fun__the_a_(tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|), |'h$'|))) = |'none$'|)) | (~(tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|), |'h$'|) = |'none$b'|))),
% 0.65/0.72 inference(tautology,[status(thm)],[])).
% 0.65/0.72 tff(102,plain,
% 0.65/0.72 ((tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|), |'h$'|) = |'none$b'|) | (tptp_fun__fun_app_m_(|'cast_N_o_d_e_2_E_l_e_m_e_n_t$'|, tptp_fun__the_a_(tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|), |'h$'|))) = |'none$'|)),
% 0.65/0.72 inference(unit_resolution,[status(thm)],[101, 100])).
% 0.65/0.72 tff(103,plain,
% 0.65/0.72 (^[A__questionmark_v0: 'C_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_RObject_ext_option$', A__questionmark_v1: 'C_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$'] : refl(((tptp_fun__bind__(A__questionmark_v0, A__questionmark_v1) = |'none$'|) <=> ((A__questionmark_v0 = |'none$b'|) | (tptp_fun__fun_app_m_(A__questionmark_v1, tptp_fun__the_a_(A__questionmark_v0)) = |'none$'|))) <=> ((tptp_fun__bind__(A__questionmark_v0, A__questionmark_v1) = |'none$'|) <=> ((A__questionmark_v0 = |'none$b'|) | (tptp_fun__fun_app_m_(A__questionmark_v1, tptp_fun__the_a_(A__questionmark_v0)) = |'none$'|))))),
% 0.65/0.72 inference(bind,[status(th)],[])).
% 0.65/0.72 tff(104,plain,
% 0.65/0.72 (![A__questionmark_v0: 'C_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_RObject_ext_option$', A__questionmark_v1: 'C_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$'] : ((tptp_fun__bind__(A__questionmark_v0, A__questionmark_v1) = |'none$'|) <=> ((A__questionmark_v0 = |'none$b'|) | (tptp_fun__fun_app_m_(A__questionmark_v1, tptp_fun__the_a_(A__questionmark_v0)) = |'none$'|))) <=> ![A__questionmark_v0: 'C_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_RObject_ext_option$', A__questionmark_v1: 'C_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$'] : ((tptp_fun__bind__(A__questionmark_v0, A__questionmark_v1) = |'none$'|) <=> ((A__questionmark_v0 = |'none$b'|) | (tptp_fun__fun_app_m_(A__questionmark_v1, tptp_fun__the_a_(A__questionmark_v0)) = |'none$'|)))),
% 0.65/0.72 inference(quant_intro,[status(thm)],[103])).
% 0.65/0.72 tff(105,plain,
% 0.65/0.72 (![A__questionmark_v0: 'C_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_RObject_ext_option$', A__questionmark_v1: 'C_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$'] : ((tptp_fun__bind__(A__questionmark_v0, A__questionmark_v1) = |'none$'|) <=> ((A__questionmark_v0 = |'none$b'|) | (tptp_fun__fun_app_m_(A__questionmark_v1, tptp_fun__the_a_(A__questionmark_v0)) = |'none$'|))) <=> ![A__questionmark_v0: 'C_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_RObject_ext_option$', A__questionmark_v1: 'C_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$'] : ((tptp_fun__bind__(A__questionmark_v0, A__questionmark_v1) = |'none$'|) <=> ((A__questionmark_v0 = |'none$b'|) | (tptp_fun__fun_app_m_(A__questionmark_v1, tptp_fun__the_a_(A__questionmark_v0)) = |'none$'|)))),
% 0.65/0.72 inference(rewrite,[status(thm)],[])).
% 0.65/0.72 tff(106,axiom,(![A__questionmark_v0: 'C_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_RObject_ext_option$', A__questionmark_v1: 'C_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$'] : ((tptp_fun__bind__(A__questionmark_v0, A__questionmark_v1) = |'none$'|) <=> ((A__questionmark_v0 = |'none$b'|) | (tptp_fun__fun_app_m_(A__questionmark_v1, tptp_fun__the_a_(A__questionmark_v0)) = |'none$'|)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom152')).
% 0.65/0.72 tff(107,plain,
% 0.65/0.72 (![A__questionmark_v0: 'C_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_RObject_ext_option$', A__questionmark_v1: 'C_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$'] : ((tptp_fun__bind__(A__questionmark_v0, A__questionmark_v1) = |'none$'|) <=> ((A__questionmark_v0 = |'none$b'|) | (tptp_fun__fun_app_m_(A__questionmark_v1, tptp_fun__the_a_(A__questionmark_v0)) = |'none$'|)))),
% 0.65/0.72 inference(modus_ponens,[status(thm)],[106, 105])).
% 0.65/0.72 tff(108,plain,(
% 0.65/0.72 ![A__questionmark_v0: 'C_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_RObject_ext_option$', A__questionmark_v1: 'C_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$'] : ((tptp_fun__bind__(A__questionmark_v0, A__questionmark_v1) = |'none$'|) <=> ((A__questionmark_v0 = |'none$b'|) | (tptp_fun__fun_app_m_(A__questionmark_v1, tptp_fun__the_a_(A__questionmark_v0)) = |'none$'|)))),
% 0.65/0.72 inference(skolemize,[status(sab)],[107])).
% 0.65/0.72 tff(109,plain,
% 0.65/0.72 (![A__questionmark_v0: 'C_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_RObject_ext_option$', A__questionmark_v1: 'C_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$'] : ((tptp_fun__bind__(A__questionmark_v0, A__questionmark_v1) = |'none$'|) <=> ((A__questionmark_v0 = |'none$b'|) | (tptp_fun__fun_app_m_(A__questionmark_v1, tptp_fun__the_a_(A__questionmark_v0)) = |'none$'|)))),
% 0.65/0.72 inference(modus_ponens,[status(thm)],[108, 104])).
% 0.65/0.72 tff(110,plain,
% 0.65/0.72 ((~![A__questionmark_v0: 'C_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_RObject_ext_option$', A__questionmark_v1: 'C_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_RObject_ext_c_a_b_e_g_option_RElement_ext_RNode_ext_RObject_ext_option_fun$'] : ((tptp_fun__bind__(A__questionmark_v0, A__questionmark_v1) = |'none$'|) <=> ((A__questionmark_v0 = |'none$b'|) | (tptp_fun__fun_app_m_(A__questionmark_v1, tptp_fun__the_a_(A__questionmark_v0)) = |'none$'|)))) | ((tptp_fun__bind__(tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|), |'h$'|), |'cast_N_o_d_e_2_E_l_e_m_e_n_t$'|) = |'none$'|) <=> ((tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|), |'h$'|) = |'none$b'|) | (tptp_fun__fun_app_m_(|'cast_N_o_d_e_2_E_l_e_m_e_n_t$'|, tptp_fun__the_a_(tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|), |'h$'|))) = |'none$'|)))),
% 0.65/0.72 inference(quant_inst,[status(thm)],[])).
% 0.65/0.72 tff(111,plain,
% 0.65/0.72 ((tptp_fun__bind__(tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|), |'h$'|), |'cast_N_o_d_e_2_E_l_e_m_e_n_t$'|) = |'none$'|) <=> ((tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|), |'h$'|) = |'none$b'|) | (tptp_fun__fun_app_m_(|'cast_N_o_d_e_2_E_l_e_m_e_n_t$'|, tptp_fun__the_a_(tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|), |'h$'|))) = |'none$'|))),
% 0.65/0.72 inference(unit_resolution,[status(thm)],[110, 109])).
% 0.65/0.72 tff(112,plain,
% 0.65/0.72 ((~((tptp_fun__bind__(tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|), |'h$'|), |'cast_N_o_d_e_2_E_l_e_m_e_n_t$'|) = |'none$'|) <=> ((tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|), |'h$'|) = |'none$b'|) | (tptp_fun__fun_app_m_(|'cast_N_o_d_e_2_E_l_e_m_e_n_t$'|, tptp_fun__the_a_(tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|), |'h$'|))) = |'none$'|)))) | (tptp_fun__bind__(tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|), |'h$'|), |'cast_N_o_d_e_2_E_l_e_m_e_n_t$'|) = |'none$'|) | (~((tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|), |'h$'|) = |'none$b'|) | (tptp_fun__fun_app_m_(|'cast_N_o_d_e_2_E_l_e_m_e_n_t$'|, tptp_fun__the_a_(tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|), |'h$'|))) = |'none$'|)))),
% 0.65/0.72 inference(tautology,[status(thm)],[])).
% 0.65/0.72 tff(113,plain,
% 0.65/0.72 ((tptp_fun__bind__(tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|), |'h$'|), |'cast_N_o_d_e_2_E_l_e_m_e_n_t$'|) = |'none$'|) | (~((tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|), |'h$'|) = |'none$b'|) | (tptp_fun__fun_app_m_(|'cast_N_o_d_e_2_E_l_e_m_e_n_t$'|, tptp_fun__the_a_(tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|), |'h$'|))) = |'none$'|)))),
% 0.65/0.72 inference(unit_resolution,[status(thm)],[112, 111])).
% 0.65/0.72 tff(114,plain,
% 0.65/0.72 (tptp_fun__bind__(tptp_fun__get_N_o_d_e__(tptp_fun__cast_e_l_e_m_e_n_t_p_t_r_2_n_o_d_e_p_t_r__(|'element_ptr$'|), |'h$'|), |'cast_N_o_d_e_2_E_l_e_m_e_n_t$'|) = |'none$'|),
% 0.65/0.72 inference(unit_resolution,[status(thm)],[113, 102])).
% 0.65/0.72 tff(115,plain,
% 0.65/0.72 ($false),
% 0.65/0.72 inference(unit_resolution,[status(thm)],[114, 15])).
% 0.65/0.72 tff(116,plain,(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(|'element_ptr$'|), |'h$'|) = |'none$'|), inference(lemma,lemma(discharge,[]))).
% 0.65/0.72 tff(117,plain,
% 0.65/0.72 (tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(tptp_fun__map_fun__(|'id$'|, tptp_fun__map_fun_a_(|'fset$'|, |'id$a'|), |'member$e'|), |'element_ptr$'|), tptp_fun__element_ptr_kinds__(|'h$'|)) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(|'element_ptr$'|), |'h$'|) = |'none$'|)) | (~(tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(tptp_fun__map_fun__(|'id$'|, tptp_fun__map_fun_a_(|'fset$'|, |'id$a'|), |'member$e'|), |'element_ptr$'|), tptp_fun__element_ptr_kinds__(|'h$'|)) <=> (tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(|'element_ptr$'|), |'h$'|) = |'none$'|)))),
% 0.65/0.72 inference(tautology,[status(thm)],[])).
% 0.65/0.72 tff(118,plain,
% 0.65/0.72 (tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(tptp_fun__map_fun__(|'id$'|, tptp_fun__map_fun_a_(|'fset$'|, |'id$a'|), |'member$e'|), |'element_ptr$'|), tptp_fun__element_ptr_kinds__(|'h$'|)) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(|'element_ptr$'|), |'h$'|) = |'none$'|))),
% 0.65/0.72 inference(unit_resolution,[status(thm)],[117, 22])).
% 0.65/0.72 tff(119,plain,
% 0.65/0.72 (tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(tptp_fun__map_fun__(|'id$'|, tptp_fun__map_fun_a_(|'fset$'|, |'id$a'|), |'member$e'|), |'element_ptr$'|), tptp_fun__element_ptr_kinds__(|'h$'|))),
% 0.65/0.72 inference(unit_resolution,[status(thm)],[118, 116])).
% 0.65/0.72 tff(120,plain,
% 0.65/0.72 (^[A__questionmark_v0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : rewrite((~((~((~tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), A__questionmark_v0) = |'none$'|)))))))) | (~(tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0) | (~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), A__questionmark_v0) = |'none$'|)))))))) <=> (~((~(tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0) | (~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), A__questionmark_v0) = |'none$'|)))))) | (~((~tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), A__questionmark_v0) = |'none$'|)))))))))))),
% 0.65/0.72 inference(bind,[status(th)],[])).
% 0.65/0.72 tff(121,plain,
% 0.65/0.72 (![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap$'] : (~((~((~tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), A__questionmark_v0) = |'none$'|)))))))) | (~(tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0) | (~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), A__questionmark_v0) = |'none$'|)))))))) <=> ![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap$'] : (~((~(tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0) | (~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), A__questionmark_v0) = |'none$'|)))))) | (~((~tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), A__questionmark_v0) = |'none$'|))))))))))),
% 0.65/0.72 inference(quant_intro,[status(thm)],[120])).
% 0.65/0.72 tff(122,plain,
% 0.65/0.72 (^[A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap$'] : refl((~((~((~tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), A__questionmark_v0) = |'none$'|)))))))) | (~(tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0) | (~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), A__questionmark_v0) = |'none$'|)))))))) <=> (~((~((~tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), A__questionmark_v0) = |'none$'|)))))))) | (~(tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0) | (~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), A__questionmark_v0) = |'none$'|)))))))))),
% 0.65/0.72 inference(bind,[status(th)],[])).
% 0.65/0.72 tff(123,plain,
% 0.65/0.72 (![A__questionmark_v0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (~((~((~tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), A__questionmark_v0) = |'none$'|)))))))) | (~(tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0) | (~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), A__questionmark_v0) = |'none$'|)))))))) <=> ![A__questionmark_v0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (~((~((~tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), A__questionmark_v0) = |'none$'|)))))))) | (~(tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0) | (~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), A__questionmark_v0) = |'none$'|))))))))),
% 0.65/0.72 inference(quant_intro,[status(thm)],[122])).
% 0.65/0.72 tff(124,plain,
% 0.65/0.72 (^[A__questionmark_v0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : rewrite((~((~((~tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), A__questionmark_v0) = |'none$'|)))))))) | (~(tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0) | (~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), A__questionmark_v0) = |'none$'|)))))))) <=> (~((~((~tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), A__questionmark_v0) = |'none$'|)))))))) | (~(tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0) | (~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), A__questionmark_v0) = |'none$'|)))))))))),
% 0.65/0.72 inference(bind,[status(th)],[])).
% 0.65/0.72 tff(125,plain,
% 0.65/0.72 (![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap$'] : (~((~((~tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), A__questionmark_v0) = |'none$'|)))))))) | (~(tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0) | (~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), A__questionmark_v0) = |'none$'|)))))))) <=> ![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap$'] : (~((~((~tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), A__questionmark_v0) = |'none$'|)))))))) | (~(tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0) | (~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), A__questionmark_v0) = |'none$'|))))))))),
% 0.65/0.72 inference(quant_intro,[status(thm)],[124])).
% 0.65/0.72 tff(126,plain,
% 0.65/0.72 (![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap$'] : (~((~((~tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), A__questionmark_v0) = |'none$'|)))))))) | (~(tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0) | (~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), A__questionmark_v0) = |'none$'|)))))))) <=> ![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap$'] : (~((~((~tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), A__questionmark_v0) = |'none$'|)))))))) | (~(tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0) | (~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), A__questionmark_v0) = |'none$'|))))))))),
% 0.65/0.72 inference(transitivity,[status(thm)],[125, 123])).
% 0.65/0.72 tff(127,plain,
% 0.65/0.72 (^[A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap$'] : trans(monotonicity(rewrite(((~tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0)) | (tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0) & ![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), A__questionmark_v0) = |'none$'|))))) <=> ((~tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), A__questionmark_v0) = |'none$'|)))))))), rewrite((tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0) | (~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), A__questionmark_v0) = |'none$'|))))) <=> (tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0) | (~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), A__questionmark_v0) = |'none$'|)))))), ((((~tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0)) | (tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0) & ![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), A__questionmark_v0) = |'none$'|))))) & (tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0) | (~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), A__questionmark_v0) = |'none$'|)))))) <=> (((~tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), A__questionmark_v0) = |'none$'|))))))) & (tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0) | (~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), A__questionmark_v0) = |'none$'|)))))))), rewrite((((~tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), A__questionmark_v0) = |'none$'|))))))) & (tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0) | (~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), A__questionmark_v0) = |'none$'|)))))) <=> (~((~((~tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), A__questionmark_v0) = |'none$'|)))))))) | (~(tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0) | (~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), A__questionmark_v0) = |'none$'|))))))))), ((((~tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0)) | (tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0) & ![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), A__questionmark_v0) = |'none$'|))))) & (tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0) | (~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), A__questionmark_v0) = |'none$'|)))))) <=> (~((~((~tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), A__questionmark_v0) = |'none$'|)))))))) | (~(tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0) | (~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), A__questionmark_v0) = |'none$'|))))))))))),
% 0.65/0.72 inference(bind,[status(th)],[])).
% 0.65/0.72 tff(128,plain,
% 0.65/0.72 (![A__questionmark_v0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (((~tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0)) | (tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0) & ![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), A__questionmark_v0) = |'none$'|))))) & (tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0) | (~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), A__questionmark_v0) = |'none$'|)))))) <=> ![A__questionmark_v0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (~((~((~tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), A__questionmark_v0) = |'none$'|)))))))) | (~(tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0) | (~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), A__questionmark_v0) = |'none$'|))))))))),
% 0.65/0.72 inference(quant_intro,[status(thm)],[127])).
% 0.65/0.72 tff(129,plain,
% 0.65/0.72 (^[A__questionmark_v0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : rewrite((((~tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0)) | (tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0) & ![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), A__questionmark_v0) = |'none$'|))))) & (tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0) | ((~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), A__questionmark_v0) = |'none$'|))))))) <=> (((~tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0)) | (tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0) & ![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), A__questionmark_v0) = |'none$'|))))) & (tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0) | (~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), A__questionmark_v0) = |'none$'|)))))))),
% 0.65/0.72 inference(bind,[status(th)],[])).
% 0.65/0.72 tff(130,plain,
% 0.65/0.72 (![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap$'] : (((~tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0)) | (tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0) & ![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), A__questionmark_v0) = |'none$'|))))) & (tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0) | ((~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), A__questionmark_v0) = |'none$'|))))))) <=> ![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap$'] : (((~tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0)) | (tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0) & ![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), A__questionmark_v0) = |'none$'|))))) & (tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0) | (~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), A__questionmark_v0) = |'none$'|))))))),
% 0.65/0.72 inference(quant_intro,[status(thm)],[129])).
% 0.65/0.72 tff(131,plain,
% 0.65/0.72 (^[A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap$'] : rewrite((tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0) <=> (tptp_fun__fun_app_l_(|'type_wf$c'|, A__questionmark_v0) & ![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), A__questionmark_v0) = |'none$'|))))) <=> (tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0) <=> (tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0) & ![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), A__questionmark_v0) = |'none$'|))))))),
% 0.65/0.72 inference(bind,[status(th)],[])).
% 0.65/0.72 tff(132,plain,
% 0.65/0.72 (![A__questionmark_v0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0) <=> (tptp_fun__fun_app_l_(|'type_wf$c'|, A__questionmark_v0) & ![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), A__questionmark_v0) = |'none$'|))))) <=> ![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0) <=> (tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0) & ![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), A__questionmark_v0) = |'none$'|)))))),
% 0.65/0.72 inference(quant_intro,[status(thm)],[131])).
% 0.65/0.72 tff(133,plain,
% 0.65/0.72 (![A__questionmark_v0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0) <=> (tptp_fun__fun_app_l_(|'type_wf$c'|, A__questionmark_v0) & ![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), A__questionmark_v0) = |'none$'|))))) <=> ![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0) <=> (tptp_fun__fun_app_l_(|'type_wf$c'|, A__questionmark_v0) & ![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), A__questionmark_v0) = |'none$'|)))))),
% 0.65/0.72 inference(rewrite,[status(thm)],[])).
% 0.65/0.72 tff(134,plain,
% 0.65/0.72 (^[A__questionmark_v0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : rewrite((tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0) <=> (tptp_fun__fun_app_l_(|'type_wf$c'|, A__questionmark_v0) & ![A__questionmark_v1: 'A_element_ptr$'] : (tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0))) => (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), A__questionmark_v0) = |'none$'|))))) <=> (tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0) <=> (tptp_fun__fun_app_l_(|'type_wf$c'|, A__questionmark_v0) & ![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), A__questionmark_v0) = |'none$'|))))))),
% 0.65/0.72 inference(bind,[status(th)],[])).
% 0.65/0.72 tff(135,plain,
% 0.65/0.72 (![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0) <=> (tptp_fun__fun_app_l_(|'type_wf$c'|, A__questionmark_v0) & ![A__questionmark_v1: 'A_element_ptr$'] : (tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0))) => (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), A__questionmark_v0) = |'none$'|))))) <=> ![A__questionmark_v0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0) <=> (tptp_fun__fun_app_l_(|'type_wf$c'|, A__questionmark_v0) & ![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), A__questionmark_v0) = |'none$'|)))))),
% 0.65/0.72 inference(quant_intro,[status(thm)],[134])).
% 0.65/0.72 tff(136,axiom,(![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0) <=> (tptp_fun__fun_app_l_(|'type_wf$c'|, A__questionmark_v0) & ![A__questionmark_v1: 'A_element_ptr$'] : (tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0))) => (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), A__questionmark_v0) = |'none$'|)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom107')).
% 0.65/0.72 tff(137,plain,
% 0.65/0.72 (![A__questionmark_v0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0) <=> (tptp_fun__fun_app_l_(|'type_wf$c'|, A__questionmark_v0) & ![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), A__questionmark_v0) = |'none$'|)))))),
% 0.65/0.72 inference(modus_ponens,[status(thm)],[136, 135])).
% 0.65/0.72 tff(138,plain,
% 0.65/0.72 (![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0) <=> (tptp_fun__fun_app_l_(|'type_wf$c'|, A__questionmark_v0) & ![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), A__questionmark_v0) = |'none$'|)))))),
% 0.65/0.72 inference(modus_ponens,[status(thm)],[137, 133])).
% 0.65/0.72 tff(139,plain,
% 0.65/0.72 (![A__questionmark_v0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0) <=> (tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0) & ![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), A__questionmark_v0) = |'none$'|)))))),
% 0.65/0.72 inference(modus_ponens,[status(thm)],[138, 132])).
% 0.65/0.72 tff(140,plain,(
% 0.65/0.72 ![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap$'] : (((~tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0)) | (tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0) & ![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), A__questionmark_v0) = |'none$'|))))) & (tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0) | ((~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), A__questionmark_v0) = |'none$'|)))))))),
% 0.65/0.72 inference(skolemize,[status(sab)],[139])).
% 0.65/0.72 tff(141,plain,
% 0.65/0.72 (![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap$'] : (((~tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0)) | (tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0) & ![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), A__questionmark_v0) = |'none$'|))))) & (tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0) | (~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), A__questionmark_v0) = |'none$'|))))))),
% 0.65/0.73 inference(modus_ponens,[status(thm)],[140, 130])).
% 0.65/0.73 tff(142,plain,
% 0.65/0.73 (![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap$'] : (~((~((~tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), A__questionmark_v0) = |'none$'|)))))))) | (~(tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0) | (~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), A__questionmark_v0) = |'none$'|))))))))),
% 0.65/0.73 inference(modus_ponens,[status(thm)],[141, 128])).
% 0.65/0.73 tff(143,plain,
% 0.65/0.73 (![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap$'] : (~((~((~tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), A__questionmark_v0) = |'none$'|)))))))) | (~(tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0) | (~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), A__questionmark_v0) = |'none$'|))))))))),
% 0.65/0.73 inference(modus_ponens,[status(thm)],[142, 126])).
% 0.65/0.73 tff(144,plain,
% 0.65/0.73 (![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap$'] : (~((~(tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0) | (~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), A__questionmark_v0) = |'none$'|)))))) | (~((~tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), A__questionmark_v0) = |'none$'|))))))))))),
% 0.65/0.73 inference(modus_ponens,[status(thm)],[143, 121])).
% 0.65/0.73 tff(145,plain,
% 0.65/0.73 ((~![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap$'] : (~((~(tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0) | (~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(tptp_fun_A__questionmark_v1_8(A__questionmark_v0)), A__questionmark_v0) = |'none$'|)))))) | (~((~tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v0)) | (~((~tptp_fun__fun_app_l_(|'a_type_wf$d'|, A__questionmark_v0)) | (~![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(A__questionmark_v0)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), A__questionmark_v0) = |'none$'|))))))))))) | (~((~(tptp_fun__fun_app_l_(|'a_type_wf$'|, |'h$'|) | (~tptp_fun__fun_app_l_(|'a_type_wf$d'|, |'h$'|)) | (~((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, tptp_fun_A__questionmark_v1_8(|'h$'|)), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(|'h$'|)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(tptp_fun_A__questionmark_v1_8(|'h$'|)), |'h$'|) = |'none$'|)))))) | (~((~tptp_fun__fun_app_l_(|'a_type_wf$'|, |'h$'|)) | (~((~tptp_fun__fun_app_l_(|'a_type_wf$d'|, |'h$'|)) | (~![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(|'h$'|)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), |'h$'|) = |'none$'|))))))))))),
% 0.65/0.73 inference(quant_inst,[status(thm)],[])).
% 0.65/0.73 tff(146,plain,
% 0.65/0.73 (~((~(tptp_fun__fun_app_l_(|'a_type_wf$'|, |'h$'|) | (~tptp_fun__fun_app_l_(|'a_type_wf$d'|, |'h$'|)) | (~((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, tptp_fun_A__questionmark_v1_8(|'h$'|)), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(|'h$'|)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(tptp_fun_A__questionmark_v1_8(|'h$'|)), |'h$'|) = |'none$'|)))))) | (~((~tptp_fun__fun_app_l_(|'a_type_wf$'|, |'h$'|)) | (~((~tptp_fun__fun_app_l_(|'a_type_wf$d'|, |'h$'|)) | (~![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(|'h$'|)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), |'h$'|) = |'none$'|)))))))))),
% 0.65/0.73 inference(unit_resolution,[status(thm)],[145, 144])).
% 0.65/0.73 tff(147,plain,
% 0.65/0.73 (((~(tptp_fun__fun_app_l_(|'a_type_wf$'|, |'h$'|) | (~tptp_fun__fun_app_l_(|'a_type_wf$d'|, |'h$'|)) | (~((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, tptp_fun_A__questionmark_v1_8(|'h$'|)), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(|'h$'|)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(tptp_fun_A__questionmark_v1_8(|'h$'|)), |'h$'|) = |'none$'|)))))) | (~((~tptp_fun__fun_app_l_(|'a_type_wf$'|, |'h$'|)) | (~((~tptp_fun__fun_app_l_(|'a_type_wf$d'|, |'h$'|)) | (~![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(|'h$'|)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), |'h$'|) = |'none$'|))))))))) | ((~tptp_fun__fun_app_l_(|'a_type_wf$'|, |'h$'|)) | (~((~tptp_fun__fun_app_l_(|'a_type_wf$d'|, |'h$'|)) | (~![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(|'h$'|)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), |'h$'|) = |'none$'|)))))))),
% 0.65/0.73 inference(tautology,[status(thm)],[])).
% 0.65/0.73 tff(148,plain,
% 0.65/0.73 ((~tptp_fun__fun_app_l_(|'a_type_wf$'|, |'h$'|)) | (~((~tptp_fun__fun_app_l_(|'a_type_wf$d'|, |'h$'|)) | (~![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(|'h$'|)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), |'h$'|) = |'none$'|))))))),
% 0.65/0.73 inference(unit_resolution,[status(thm)],[147, 146])).
% 0.65/0.73 tff(149,plain,
% 0.65/0.73 (^[A__questionmark_v0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : refl((tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v1) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)) | (~tptp_fun__l_type_wf_E_l_e_m_e_n_t__(A__questionmark_v0))) <=> (tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v1) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)) | (~tptp_fun__l_type_wf_E_l_e_m_e_n_t__(A__questionmark_v0))))),
% 0.65/0.73 inference(bind,[status(th)],[])).
% 0.65/0.73 tff(150,plain,
% 0.65/0.73 (![A__questionmark_v0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v1) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)) | (~tptp_fun__l_type_wf_E_l_e_m_e_n_t__(A__questionmark_v0))) <=> ![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v1) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)) | (~tptp_fun__l_type_wf_E_l_e_m_e_n_t__(A__questionmark_v0)))),
% 0.65/0.73 inference(quant_intro,[status(thm)],[149])).
% 0.65/0.73 tff(151,plain,
% 0.65/0.73 (^[A__questionmark_v0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : trans(monotonicity(trans(monotonicity(rewrite((tptp_fun__l_type_wf_E_l_e_m_e_n_t__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)) <=> (~((~tptp_fun__l_type_wf_E_l_e_m_e_n_t__(A__questionmark_v0)) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))))), ((~(tptp_fun__l_type_wf_E_l_e_m_e_n_t__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) <=> (~(~((~tptp_fun__l_type_wf_E_l_e_m_e_n_t__(A__questionmark_v0)) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))))))), rewrite((~(~((~tptp_fun__l_type_wf_E_l_e_m_e_n_t__(A__questionmark_v0)) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))))) <=> ((~tptp_fun__l_type_wf_E_l_e_m_e_n_t__(A__questionmark_v0)) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)))), ((~(tptp_fun__l_type_wf_E_l_e_m_e_n_t__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) <=> ((~tptp_fun__l_type_wf_E_l_e_m_e_n_t__(A__questionmark_v0)) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))))), (((~(tptp_fun__l_type_wf_E_l_e_m_e_n_t__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) | tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v1)) <=> (((~tptp_fun__l_type_wf_E_l_e_m_e_n_t__(A__questionmark_v0)) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) | tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v1)))), rewrite((((~tptp_fun__l_type_wf_E_l_e_m_e_n_t__(A__questionmark_v0)) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) | tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v1)) <=> (tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v1) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)) | (~tptp_fun__l_type_wf_E_l_e_m_e_n_t__(A__questionmark_v0)))), (((~(tptp_fun__l_type_wf_E_l_e_m_e_n_t__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) | tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v1)) <=> (tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v1) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)) | (~tptp_fun__l_type_wf_E_l_e_m_e_n_t__(A__questionmark_v0)))))),
% 0.65/0.73 inference(bind,[status(th)],[])).
% 0.65/0.73 tff(152,plain,
% 0.65/0.73 (![A__questionmark_v0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : ((~(tptp_fun__l_type_wf_E_l_e_m_e_n_t__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) | tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v1)) <=> ![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v1) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)) | (~tptp_fun__l_type_wf_E_l_e_m_e_n_t__(A__questionmark_v0)))),
% 0.65/0.73 inference(quant_intro,[status(thm)],[151])).
% 0.65/0.73 tff(153,plain,
% 0.65/0.73 (^[A__questionmark_v0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : rewrite(((~(tptp_fun__l_type_wf_E_l_e_m_e_n_t__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) | tptp_fun__fun_app_l_(|'type_wf$a'|, A__questionmark_v1)) <=> ((~(tptp_fun__l_type_wf_E_l_e_m_e_n_t__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) | tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v1)))),
% 0.65/0.73 inference(bind,[status(th)],[])).
% 0.65/0.73 tff(154,plain,
% 0.65/0.73 (![A__questionmark_v0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : ((~(tptp_fun__l_type_wf_E_l_e_m_e_n_t__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) | tptp_fun__fun_app_l_(|'type_wf$a'|, A__questionmark_v1)) <=> ![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : ((~(tptp_fun__l_type_wf_E_l_e_m_e_n_t__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) | tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v1))),
% 0.65/0.73 inference(quant_intro,[status(thm)],[153])).
% 0.65/0.73 tff(155,plain,
% 0.65/0.73 (![A__questionmark_v0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : ((~(tptp_fun__l_type_wf_E_l_e_m_e_n_t__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) | tptp_fun__fun_app_l_(|'type_wf$a'|, A__questionmark_v1)) <=> ![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : ((~(tptp_fun__l_type_wf_E_l_e_m_e_n_t__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) | tptp_fun__fun_app_l_(|'type_wf$a'|, A__questionmark_v1))),
% 0.65/0.73 inference(rewrite,[status(thm)],[])).
% 0.65/0.73 tff(156,plain,
% 0.65/0.73 (^[A__questionmark_v0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : rewrite(((tptp_fun__l_type_wf_E_l_e_m_e_n_t__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)) => tptp_fun__fun_app_l_(|'type_wf$a'|, A__questionmark_v1)) <=> ((~(tptp_fun__l_type_wf_E_l_e_m_e_n_t__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) | tptp_fun__fun_app_l_(|'type_wf$a'|, A__questionmark_v1)))),
% 0.65/0.73 inference(bind,[status(th)],[])).
% 0.65/0.73 tff(157,plain,
% 0.65/0.73 (![A__questionmark_v0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : ((tptp_fun__l_type_wf_E_l_e_m_e_n_t__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)) => tptp_fun__fun_app_l_(|'type_wf$a'|, A__questionmark_v1)) <=> ![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : ((~(tptp_fun__l_type_wf_E_l_e_m_e_n_t__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) | tptp_fun__fun_app_l_(|'type_wf$a'|, A__questionmark_v1))),
% 0.65/0.73 inference(quant_intro,[status(thm)],[156])).
% 0.65/0.73 tff(158,axiom,(![A__questionmark_v0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : ((tptp_fun__l_type_wf_E_l_e_m_e_n_t__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)) => tptp_fun__fun_app_l_(|'type_wf$a'|, A__questionmark_v1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom46')).
% 0.65/0.73 tff(159,plain,
% 0.65/0.73 (![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : ((~(tptp_fun__l_type_wf_E_l_e_m_e_n_t__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) | tptp_fun__fun_app_l_(|'type_wf$a'|, A__questionmark_v1))),
% 0.65/0.73 inference(modus_ponens,[status(thm)],[158, 157])).
% 0.65/0.73 tff(160,plain,
% 0.65/0.73 (![A__questionmark_v0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : ((~(tptp_fun__l_type_wf_E_l_e_m_e_n_t__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) | tptp_fun__fun_app_l_(|'type_wf$a'|, A__questionmark_v1))),
% 0.65/0.73 inference(modus_ponens,[status(thm)],[159, 155])).
% 0.65/0.73 tff(161,plain,
% 0.65/0.73 (![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : ((~(tptp_fun__l_type_wf_E_l_e_m_e_n_t__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) | tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v1))),
% 0.65/0.73 inference(modus_ponens,[status(thm)],[160, 154])).
% 0.65/0.73 tff(162,plain,(
% 0.65/0.73 ![A__questionmark_v0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : ((~(tptp_fun__l_type_wf_E_l_e_m_e_n_t__(A__questionmark_v0) & tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1))) | tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v1))),
% 0.65/0.73 inference(skolemize,[status(sab)],[161])).
% 0.65/0.73 tff(163,plain,
% 0.65/0.73 (![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v1) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)) | (~tptp_fun__l_type_wf_E_l_e_m_e_n_t__(A__questionmark_v0)))),
% 0.65/0.73 inference(modus_ponens,[status(thm)],[162, 152])).
% 0.65/0.73 tff(164,plain,
% 0.65/0.73 (![A__questionmark_v0: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v1) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)) | (~tptp_fun__l_type_wf_E_l_e_m_e_n_t__(A__questionmark_v0)))),
% 0.65/0.73 inference(modus_ponens,[status(thm)],[163, 150])).
% 0.65/0.73 tff(165,plain,
% 0.65/0.73 (tptp_fun__l_type_wf_E_l_e_m_e_n_t__(|'type_wf$'|) <=> tptp_fun__l_type_wf_E_l_e_m_e_n_t__(|'type_wf$'|)),
% 0.65/0.73 inference(rewrite,[status(thm)],[])).
% 0.65/0.73 tff(166,axiom,(tptp_fun__l_type_wf_E_l_e_m_e_n_t__(|'type_wf$'|)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom36')).
% 0.65/0.73 tff(167,plain,
% 0.65/0.73 (tptp_fun__l_type_wf_E_l_e_m_e_n_t__(|'type_wf$'|)),
% 0.65/0.73 inference(modus_ponens,[status(thm)],[166, 165])).
% 0.65/0.73 tff(168,plain,
% 0.65/0.73 (((~![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v1) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)) | (~tptp_fun__l_type_wf_E_l_e_m_e_n_t__(A__questionmark_v0)))) | ((~tptp_fun__fun_app_l_(|'type_wf$'|, |'h$'|)) | tptp_fun__fun_app_l_(|'a_type_wf$'|, |'h$'|) | (~tptp_fun__l_type_wf_E_l_e_m_e_n_t__(|'type_wf$'|)))) <=> ((~![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v1) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)) | (~tptp_fun__l_type_wf_E_l_e_m_e_n_t__(A__questionmark_v0)))) | (~tptp_fun__fun_app_l_(|'type_wf$'|, |'h$'|)) | tptp_fun__fun_app_l_(|'a_type_wf$'|, |'h$'|) | (~tptp_fun__l_type_wf_E_l_e_m_e_n_t__(|'type_wf$'|)))),
% 0.65/0.73 inference(rewrite,[status(thm)],[])).
% 0.65/0.73 tff(169,plain,
% 0.65/0.73 ((tptp_fun__fun_app_l_(|'a_type_wf$'|, |'h$'|) | (~tptp_fun__fun_app_l_(|'type_wf$'|, |'h$'|)) | (~tptp_fun__l_type_wf_E_l_e_m_e_n_t__(|'type_wf$'|))) <=> ((~tptp_fun__fun_app_l_(|'type_wf$'|, |'h$'|)) | tptp_fun__fun_app_l_(|'a_type_wf$'|, |'h$'|) | (~tptp_fun__l_type_wf_E_l_e_m_e_n_t__(|'type_wf$'|)))),
% 0.65/0.73 inference(rewrite,[status(thm)],[])).
% 0.65/0.73 tff(170,plain,
% 0.65/0.73 (((~![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v1) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)) | (~tptp_fun__l_type_wf_E_l_e_m_e_n_t__(A__questionmark_v0)))) | (tptp_fun__fun_app_l_(|'a_type_wf$'|, |'h$'|) | (~tptp_fun__fun_app_l_(|'type_wf$'|, |'h$'|)) | (~tptp_fun__l_type_wf_E_l_e_m_e_n_t__(|'type_wf$'|)))) <=> ((~![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v1) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)) | (~tptp_fun__l_type_wf_E_l_e_m_e_n_t__(A__questionmark_v0)))) | ((~tptp_fun__fun_app_l_(|'type_wf$'|, |'h$'|)) | tptp_fun__fun_app_l_(|'a_type_wf$'|, |'h$'|) | (~tptp_fun__l_type_wf_E_l_e_m_e_n_t__(|'type_wf$'|))))),
% 0.65/0.73 inference(monotonicity,[status(thm)],[169])).
% 0.65/0.73 tff(171,plain,
% 0.65/0.73 (((~![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v1) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)) | (~tptp_fun__l_type_wf_E_l_e_m_e_n_t__(A__questionmark_v0)))) | (tptp_fun__fun_app_l_(|'a_type_wf$'|, |'h$'|) | (~tptp_fun__fun_app_l_(|'type_wf$'|, |'h$'|)) | (~tptp_fun__l_type_wf_E_l_e_m_e_n_t__(|'type_wf$'|)))) <=> ((~![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v1) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)) | (~tptp_fun__l_type_wf_E_l_e_m_e_n_t__(A__questionmark_v0)))) | (~tptp_fun__fun_app_l_(|'type_wf$'|, |'h$'|)) | tptp_fun__fun_app_l_(|'a_type_wf$'|, |'h$'|) | (~tptp_fun__l_type_wf_E_l_e_m_e_n_t__(|'type_wf$'|)))),
% 0.65/0.73 inference(transitivity,[status(thm)],[170, 168])).
% 0.65/0.73 tff(172,plain,
% 0.65/0.73 ((~![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v1) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)) | (~tptp_fun__l_type_wf_E_l_e_m_e_n_t__(A__questionmark_v0)))) | (tptp_fun__fun_app_l_(|'a_type_wf$'|, |'h$'|) | (~tptp_fun__fun_app_l_(|'type_wf$'|, |'h$'|)) | (~tptp_fun__l_type_wf_E_l_e_m_e_n_t__(|'type_wf$'|)))),
% 0.65/0.73 inference(quant_inst,[status(thm)],[])).
% 0.65/0.73 tff(173,plain,
% 0.65/0.73 ((~![A__questionmark_v0: '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_sum_RNode_ext_i_sum_heap_bool_fun$', A__questionmark_v1: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_sum_RNode_ext_i_sum_heap$'] : (tptp_fun__fun_app_l_(|'a_type_wf$'|, A__questionmark_v1) | (~tptp_fun__fun_app_l_(A__questionmark_v0, A__questionmark_v1)) | (~tptp_fun__l_type_wf_E_l_e_m_e_n_t__(A__questionmark_v0)))) | (~tptp_fun__fun_app_l_(|'type_wf$'|, |'h$'|)) | tptp_fun__fun_app_l_(|'a_type_wf$'|, |'h$'|) | (~tptp_fun__l_type_wf_E_l_e_m_e_n_t__(|'type_wf$'|))),
% 0.65/0.73 inference(modus_ponens,[status(thm)],[172, 171])).
% 0.65/0.73 tff(174,plain,
% 0.65/0.73 (tptp_fun__fun_app_l_(|'a_type_wf$'|, |'h$'|)),
% 0.65/0.73 inference(unit_resolution,[status(thm)],[173, 62, 167, 164])).
% 0.65/0.73 tff(175,plain,
% 0.65/0.73 ((~((~tptp_fun__fun_app_l_(|'a_type_wf$'|, |'h$'|)) | (~((~tptp_fun__fun_app_l_(|'a_type_wf$d'|, |'h$'|)) | (~![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(|'h$'|)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), |'h$'|) = |'none$'|)))))))) | (~tptp_fun__fun_app_l_(|'a_type_wf$'|, |'h$'|)) | (~((~tptp_fun__fun_app_l_(|'a_type_wf$d'|, |'h$'|)) | (~![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(|'h$'|)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), |'h$'|) = |'none$'|))))))),
% 0.65/0.73 inference(tautology,[status(thm)],[])).
% 0.65/0.73 tff(176,plain,
% 0.65/0.73 ((~((~tptp_fun__fun_app_l_(|'a_type_wf$'|, |'h$'|)) | (~((~tptp_fun__fun_app_l_(|'a_type_wf$d'|, |'h$'|)) | (~![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(|'h$'|)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), |'h$'|) = |'none$'|)))))))) | (~((~tptp_fun__fun_app_l_(|'a_type_wf$d'|, |'h$'|)) | (~![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(|'h$'|)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), |'h$'|) = |'none$'|))))))),
% 0.65/0.73 inference(unit_resolution,[status(thm)],[175, 174])).
% 0.65/0.73 tff(177,plain,
% 0.65/0.73 (~((~tptp_fun__fun_app_l_(|'a_type_wf$d'|, |'h$'|)) | (~![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(|'h$'|)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), |'h$'|) = |'none$'|)))))),
% 0.65/0.73 inference(unit_resolution,[status(thm)],[176, 148])).
% 0.65/0.73 tff(178,plain,
% 0.65/0.73 (((~tptp_fun__fun_app_l_(|'a_type_wf$d'|, |'h$'|)) | (~![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(|'h$'|)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), |'h$'|) = |'none$'|))))) | ![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(|'h$'|)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), |'h$'|) = |'none$'|)))),
% 0.65/0.73 inference(tautology,[status(thm)],[])).
% 0.65/0.73 tff(179,plain,
% 0.65/0.73 (![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(|'h$'|)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), |'h$'|) = |'none$'|)))),
% 0.65/0.73 inference(unit_resolution,[status(thm)],[178, 177])).
% 0.65/0.73 tff(180,plain,
% 0.65/0.73 (((~![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(|'h$'|)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), |'h$'|) = |'none$'|)))) | ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, |'element_ptr$'|), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(|'h$'|)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(|'element_ptr$'|), |'h$'|) = |'none$'|)))) <=> ((~![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(|'h$'|)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), |'h$'|) = |'none$'|)))) | (~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, |'element_ptr$'|), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(|'h$'|)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(|'element_ptr$'|), |'h$'|) = |'none$'|)))),
% 0.65/0.73 inference(rewrite,[status(thm)],[])).
% 0.65/0.73 tff(181,plain,
% 0.65/0.73 ((~![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(|'h$'|)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), |'h$'|) = |'none$'|)))) | ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, |'element_ptr$'|), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(|'h$'|)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(|'element_ptr$'|), |'h$'|) = |'none$'|)))),
% 0.65/0.73 inference(quant_inst,[status(thm)],[])).
% 0.65/0.73 tff(182,plain,
% 0.65/0.73 ((~![A__questionmark_v1: 'A_element_ptr$'] : ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v1), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(|'h$'|)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(A__questionmark_v1), |'h$'|) = |'none$'|)))) | (~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, |'element_ptr$'|), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(|'h$'|)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(|'element_ptr$'|), |'h$'|) = |'none$'|))),
% 0.65/0.73 inference(modus_ponens,[status(thm)],[181, 180])).
% 0.65/0.73 tff(183,plain,
% 0.65/0.73 ((~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, |'element_ptr$'|), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(|'h$'|)))) | (~(tptp_fun__fun_app_k_(tptp_fun__get_E_l_e_m_e_n_t__(|'element_ptr$'|), |'h$'|) = |'none$'|))),
% 0.65/0.73 inference(unit_resolution,[status(thm)],[182, 179])).
% 0.65/0.73 tff(184,plain,
% 0.65/0.73 (~tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, |'element_ptr$'|), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(|'h$'|)))),
% 0.65/0.73 inference(unit_resolution,[status(thm)],[183, 116])).
% 0.65/0.73 tff(185,plain,
% 0.65/0.73 (^[A__questionmark_v0: 'A_element_ptr$', A__questionmark_v1: 'A_element_ptr_fset$'] : refl((tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(tptp_fun__map_fun__(|'id$'|, tptp_fun__map_fun_a_(|'fset$'|, |'id$a'|), |'member$e'|), A__questionmark_v0), A__questionmark_v1) <=> tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v0), tptp_fun__fun_app_v_(|'fset$'|, A__questionmark_v1))) <=> (tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(tptp_fun__map_fun__(|'id$'|, tptp_fun__map_fun_a_(|'fset$'|, |'id$a'|), |'member$e'|), A__questionmark_v0), A__questionmark_v1) <=> tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v0), tptp_fun__fun_app_v_(|'fset$'|, A__questionmark_v1))))),
% 0.65/0.73 inference(bind,[status(th)],[])).
% 0.65/0.73 tff(186,plain,
% 0.65/0.73 (![A__questionmark_v0: 'A_element_ptr$', A__questionmark_v1: 'A_element_ptr_fset$'] : (tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(tptp_fun__map_fun__(|'id$'|, tptp_fun__map_fun_a_(|'fset$'|, |'id$a'|), |'member$e'|), A__questionmark_v0), A__questionmark_v1) <=> tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v0), tptp_fun__fun_app_v_(|'fset$'|, A__questionmark_v1))) <=> ![A__questionmark_v0: 'A_element_ptr$', A__questionmark_v1: 'A_element_ptr_fset$'] : (tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(tptp_fun__map_fun__(|'id$'|, tptp_fun__map_fun_a_(|'fset$'|, |'id$a'|), |'member$e'|), A__questionmark_v0), A__questionmark_v1) <=> tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v0), tptp_fun__fun_app_v_(|'fset$'|, A__questionmark_v1)))),
% 0.65/0.73 inference(quant_intro,[status(thm)],[185])).
% 0.65/0.73 tff(187,plain,
% 0.65/0.73 (^[A__questionmark_v0: 'A_element_ptr$', A__questionmark_v1: 'A_element_ptr_fset$'] : rewrite((tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(|'fmember$'|, A__questionmark_v0), A__questionmark_v1) <=> tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v0), tptp_fun__fun_app_v_(|'fset$'|, A__questionmark_v1))) <=> (tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(tptp_fun__map_fun__(|'id$'|, tptp_fun__map_fun_a_(|'fset$'|, |'id$a'|), |'member$e'|), A__questionmark_v0), A__questionmark_v1) <=> tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v0), tptp_fun__fun_app_v_(|'fset$'|, A__questionmark_v1))))),
% 0.65/0.73 inference(bind,[status(th)],[])).
% 0.65/0.73 tff(188,plain,
% 0.65/0.73 (![A__questionmark_v0: 'A_element_ptr$', A__questionmark_v1: 'A_element_ptr_fset$'] : (tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(|'fmember$'|, A__questionmark_v0), A__questionmark_v1) <=> tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v0), tptp_fun__fun_app_v_(|'fset$'|, A__questionmark_v1))) <=> ![A__questionmark_v0: 'A_element_ptr$', A__questionmark_v1: 'A_element_ptr_fset$'] : (tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(tptp_fun__map_fun__(|'id$'|, tptp_fun__map_fun_a_(|'fset$'|, |'id$a'|), |'member$e'|), A__questionmark_v0), A__questionmark_v1) <=> tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v0), tptp_fun__fun_app_v_(|'fset$'|, A__questionmark_v1)))),
% 0.65/0.73 inference(quant_intro,[status(thm)],[187])).
% 0.65/0.73 tff(189,plain,
% 0.65/0.73 (![A__questionmark_v0: 'A_element_ptr$', A__questionmark_v1: 'A_element_ptr_fset$'] : (tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(|'fmember$'|, A__questionmark_v0), A__questionmark_v1) <=> tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v0), tptp_fun__fun_app_v_(|'fset$'|, A__questionmark_v1))) <=> ![A__questionmark_v0: 'A_element_ptr$', A__questionmark_v1: 'A_element_ptr_fset$'] : (tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(|'fmember$'|, A__questionmark_v0), A__questionmark_v1) <=> tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v0), tptp_fun__fun_app_v_(|'fset$'|, A__questionmark_v1)))),
% 0.67/0.73 inference(rewrite,[status(thm)],[])).
% 0.67/0.73 tff(190,axiom,(![A__questionmark_v0: 'A_element_ptr$', A__questionmark_v1: 'A_element_ptr_fset$'] : (tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(|'fmember$'|, A__questionmark_v0), A__questionmark_v1) <=> tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v0), tptp_fun__fun_app_v_(|'fset$'|, A__questionmark_v1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom129')).
% 0.67/0.73 tff(191,plain,
% 0.67/0.73 (![A__questionmark_v0: 'A_element_ptr$', A__questionmark_v1: 'A_element_ptr_fset$'] : (tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(|'fmember$'|, A__questionmark_v0), A__questionmark_v1) <=> tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v0), tptp_fun__fun_app_v_(|'fset$'|, A__questionmark_v1)))),
% 0.67/0.73 inference(modus_ponens,[status(thm)],[190, 189])).
% 0.67/0.73 tff(192,plain,
% 0.67/0.73 (![A__questionmark_v0: 'A_element_ptr$', A__questionmark_v1: 'A_element_ptr_fset$'] : (tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(tptp_fun__map_fun__(|'id$'|, tptp_fun__map_fun_a_(|'fset$'|, |'id$a'|), |'member$e'|), A__questionmark_v0), A__questionmark_v1) <=> tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v0), tptp_fun__fun_app_v_(|'fset$'|, A__questionmark_v1)))),
% 0.67/0.73 inference(modus_ponens,[status(thm)],[191, 188])).
% 0.67/0.73 tff(193,plain,(
% 0.67/0.73 ![A__questionmark_v0: 'A_element_ptr$', A__questionmark_v1: 'A_element_ptr_fset$'] : (tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(tptp_fun__map_fun__(|'id$'|, tptp_fun__map_fun_a_(|'fset$'|, |'id$a'|), |'member$e'|), A__questionmark_v0), A__questionmark_v1) <=> tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v0), tptp_fun__fun_app_v_(|'fset$'|, A__questionmark_v1)))),
% 0.67/0.73 inference(skolemize,[status(sab)],[192])).
% 0.67/0.73 tff(194,plain,
% 0.67/0.73 (![A__questionmark_v0: 'A_element_ptr$', A__questionmark_v1: 'A_element_ptr_fset$'] : (tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(tptp_fun__map_fun__(|'id$'|, tptp_fun__map_fun_a_(|'fset$'|, |'id$a'|), |'member$e'|), A__questionmark_v0), A__questionmark_v1) <=> tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v0), tptp_fun__fun_app_v_(|'fset$'|, A__questionmark_v1)))),
% 0.67/0.73 inference(modus_ponens,[status(thm)],[193, 186])).
% 0.67/0.73 tff(195,plain,
% 0.67/0.73 ((~![A__questionmark_v0: 'A_element_ptr$', A__questionmark_v1: 'A_element_ptr_fset$'] : (tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(tptp_fun__map_fun__(|'id$'|, tptp_fun__map_fun_a_(|'fset$'|, |'id$a'|), |'member$e'|), A__questionmark_v0), A__questionmark_v1) <=> tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, A__questionmark_v0), tptp_fun__fun_app_v_(|'fset$'|, A__questionmark_v1)))) | (tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(tptp_fun__map_fun__(|'id$'|, tptp_fun__map_fun_a_(|'fset$'|, |'id$a'|), |'member$e'|), |'element_ptr$'|), tptp_fun__element_ptr_kinds__(|'h$'|)) <=> tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, |'element_ptr$'|), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(|'h$'|))))),
% 0.67/0.73 inference(quant_inst,[status(thm)],[])).
% 0.67/0.73 tff(196,plain,
% 0.67/0.73 (tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(tptp_fun__map_fun__(|'id$'|, tptp_fun__map_fun_a_(|'fset$'|, |'id$a'|), |'member$e'|), |'element_ptr$'|), tptp_fun__element_ptr_kinds__(|'h$'|)) <=> tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, |'element_ptr$'|), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(|'h$'|)))),
% 0.67/0.73 inference(unit_resolution,[status(thm)],[195, 194])).
% 0.67/0.73 tff(197,plain,
% 0.67/0.73 ((~(tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(tptp_fun__map_fun__(|'id$'|, tptp_fun__map_fun_a_(|'fset$'|, |'id$a'|), |'member$e'|), |'element_ptr$'|), tptp_fun__element_ptr_kinds__(|'h$'|)) <=> tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, |'element_ptr$'|), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(|'h$'|))))) | (~tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(tptp_fun__map_fun__(|'id$'|, tptp_fun__map_fun_a_(|'fset$'|, |'id$a'|), |'member$e'|), |'element_ptr$'|), tptp_fun__element_ptr_kinds__(|'h$'|))) | tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, |'element_ptr$'|), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(|'h$'|)))),
% 0.67/0.78 inference(tautology,[status(thm)],[])).
% 0.67/0.78 tff(198,plain,
% 0.67/0.78 ((~tptp_fun__fun_app_i_(tptp_fun__fun_app_j_(tptp_fun__map_fun__(|'id$'|, tptp_fun__map_fun_a_(|'fset$'|, |'id$a'|), |'member$e'|), |'element_ptr$'|), tptp_fun__element_ptr_kinds__(|'h$'|))) | tptp_fun__fun_app_t_(tptp_fun__fun_app_u_(|'member$e'|, |'element_ptr$'|), tptp_fun__fun_app_v_(|'fset$'|, tptp_fun__element_ptr_kinds__(|'h$'|)))),
% 0.67/0.78 inference(unit_resolution,[status(thm)],[197, 196])).
% 0.67/0.78 tff(199,plain,
% 0.67/0.78 ($false),
% 0.67/0.78 inference(unit_resolution,[status(thm)],[198, 184, 119])).
% 0.67/0.78 % SZS output end Proof
%------------------------------------------------------------------------------