TSTP Solution File: SWW476+3 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWW476+3 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 01:17:14 EDT 2022
% Result : Unknown 74.11s 74.36s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWW476+3 : TPTP v8.1.0. Released v5.3.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jun 4 17:58:35 EDT 2022
% 0.13/0.35 % CPUTime :
% 2.22/2.48 ============================== Prover9 ===============================
% 2.22/2.48 Prover9 (32) version 2009-11A, November 2009.
% 2.22/2.48 Process 28470 was started by sandbox2 on n024.cluster.edu,
% 2.22/2.48 Sat Jun 4 17:58:37 2022
% 2.22/2.48 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_28199_n024.cluster.edu".
% 2.22/2.48 ============================== end of head ===========================
% 2.22/2.48
% 2.22/2.48 ============================== INPUT =================================
% 2.22/2.48
% 2.22/2.48 % Reading from file /tmp/Prover9_28199_n024.cluster.edu
% 2.22/2.48
% 2.22/2.48 set(prolog_style_variables).
% 2.22/2.48 set(auto2).
% 2.22/2.48 % set(auto2) -> set(auto).
% 2.22/2.48 % set(auto) -> set(auto_inference).
% 2.22/2.48 % set(auto) -> set(auto_setup).
% 2.22/2.48 % set(auto_setup) -> set(predicate_elim).
% 2.22/2.48 % set(auto_setup) -> assign(eq_defs, unfold).
% 2.22/2.48 % set(auto) -> set(auto_limits).
% 2.22/2.48 % set(auto_limits) -> assign(max_weight, "100.000").
% 2.22/2.48 % set(auto_limits) -> assign(sos_limit, 20000).
% 2.22/2.48 % set(auto) -> set(auto_denials).
% 2.22/2.48 % set(auto) -> set(auto_process).
% 2.22/2.48 % set(auto2) -> assign(new_constants, 1).
% 2.22/2.48 % set(auto2) -> assign(fold_denial_max, 3).
% 2.22/2.48 % set(auto2) -> assign(max_weight, "200.000").
% 2.22/2.48 % set(auto2) -> assign(max_hours, 1).
% 2.22/2.48 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 2.22/2.48 % set(auto2) -> assign(max_seconds, 0).
% 2.22/2.48 % set(auto2) -> assign(max_minutes, 5).
% 2.22/2.48 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 2.22/2.48 % set(auto2) -> set(sort_initial_sos).
% 2.22/2.48 % set(auto2) -> assign(sos_limit, -1).
% 2.22/2.48 % set(auto2) -> assign(lrs_ticks, 3000).
% 2.22/2.48 % set(auto2) -> assign(max_megs, 400).
% 2.22/2.48 % set(auto2) -> assign(stats, some).
% 2.22/2.48 % set(auto2) -> clear(echo_input).
% 2.22/2.48 % set(auto2) -> set(quiet).
% 2.22/2.48 % set(auto2) -> clear(print_initial_clauses).
% 2.22/2.48 % set(auto2) -> clear(print_given).
% 2.22/2.48 assign(lrs_ticks,-1).
% 2.22/2.48 assign(sos_limit,10000).
% 2.22/2.48 assign(order,kbo).
% 2.22/2.48 set(lex_order_vars).
% 2.22/2.48 clear(print_given).
% 2.22/2.48
% 2.22/2.48 % formulas(sos). % not echoed (1346 formulas)
% 2.22/2.48
% 2.22/2.48 ============================== end of input ==========================
% 2.22/2.48
% 2.22/2.48 % From the command line: assign(max_seconds, 300).
% 2.22/2.48
% 2.22/2.48 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 2.22/2.48
% 2.22/2.48 % Formulas that are not ordinary clauses:
% 2.22/2.48 1 (all B_1_1 is_bool(final_list_char(B_1_1))) # label(gsy_c_BigStep_Ofinal_000tc__List__Olist_Itc__String__Ochar_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 2 (all B_1_1 is_bool(finals_list_char(B_1_1))) # label(gsy_c_BigStep_Ofinals_000tc__List__Olist_Itc__String__Ochar_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 3 (all B_1_1 is_bool(preallocated(B_1_1))) # label(gsy_c_Exceptions_Opreallocated) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 4 (all B_1_1 is_bool(distin1416307044t_char(B_1_1))) # label(gsy_c_List_Odistinct_000tc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 5 (all B_1_1 is_bool(distinct_list_char(B_1_1))) # label(gsy_c_List_Odistinct_000tc__List__Olist_Itc__String__Ochar_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 6 (all B_1_1 is_bool(distinct_nat(B_1_1))) # label(gsy_c_List_Odistinct_000tc__Nat__Onat) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 7 (all B_1_1 is_bool(distinct_ty(B_1_1))) # label(gsy_c_List_Odistinct_000tc__Type__Oty) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 8 (all B_1_1 is_bool(distinct_val(B_1_1))) # label(gsy_c_List_Odistinct_000tc__Value__Oval) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 9 (all B_1_1 is_bool(distin1973552748t_char(B_1_1))) # label(gsy_c_List_Odistinct_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 10 (all B_1_1 is_bool(distin179070212on_val(B_1_1))) # label(gsy_c_List_Odistinct_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc_) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 11 (all B_1_1 is_bool(distin1349260956on_val(B_1_1))) # label(gsy_c_List_Odistinct_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc_) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 12 (all B_1_1 all B_2_1 is_bool(hext(B_1_1,B_2_1))) # label(gsy_c_Objects_Ohext) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 13 (all B_1_1 all B_2_1 is_bool(ord_le2092826700r_bool(B_1_1,B_2_1))) # label(gsy_c_Orderings_Oord__class_Oless__eq_000tc__fun_Itc__List__Olist_Itc__String__O) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 14 (all B_1_1 all B_2_1 all B_3_1 all B_4_1 all B_5 is_bool(wTrt_1(B_1_1,B_2_1,B_3_1,B_4_1,B_5))) # label(gsy_c_Progress_OWTrt_H) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 15 (all B_1_1 all B_2_1 all B_3_1 all B_4_1 all B_5 is_bool(wTrts(B_1_1,B_2_1,B_3_1,B_4_1,B_5))) # label(gsy_c_Progress_OWTrts_H) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 16 (all B_1_1 all B_2_1 is_bool(assigned(B_1_1,B_2_1))) # label(gsy_c_SmallStep_Oassigned) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 17 (all B_1_1 all B_2_1 all B_3_1 is_bool(fields1147507508t_char(B_1_1,B_2_1,B_3_1))) # label(gsy_c_TypeRel_OFields_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String_) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 18 (all B_1_1 is_bool(is_refT(B_1_1))) # label(gsy_c_Type_Ois__refT) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 19 (all B_1_1 all B_2_1 is_bool(wf_pro755087577t_char(B_1_1,B_2_1))) # label(gsy_c_WellForm_Owf__prog_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__Stri) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 20 (all B_1_1 all B_2_1 all B_3_1 all B_4_1 all B_5 is_bool(wTrt(B_1_1,B_2_1,B_3_1,B_4_1,B_5))) # label(gsy_c_WellTypeRT_OWTrt) # label(hypothesis) # label(non_clause). [assumption].
% 2.22/2.48 21 (all B_1_1 all B_2_1 all B_3_1 all B_4_1 all B_5 is_bool(wTrts_1(B_1_1,B_2_1,B_3_1,B_4_1,B_5))) # label(gsy_c_WellTypeRT_OWTrts) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 22 (all B_1_1 all B_2_1 is_bool(hAPP_e544220455r_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J_000tc__HOL_) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 23 (all B_1_1 all B_2_1 (is_bool(B_2_1) -> is_bool(hAPP_bool_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__HOL__Obool_000tc__HOL__Obool) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 24 (all B_1_1 all B_2_1 is_bool(hAPP_l1538097584r_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__List__Olist_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Ocha) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 25 (all B_1_1 all B_2_1 is_bool(hAPP_l1948381865r_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__List__Olist_Itc__List__Olist_Itc__String__Ochar_J_J_000tc__HOL) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 26 (all B_1_1 all B_2_1 is_bool(hAPP_l292106447y_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__List__Olist_Itc__Option__Ooption_Itc__Type__Oty_J_J_000tc__HOL) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 27 (all B_1_1 all B_2_1 is_bool(hAPP_list_char_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__List__Olist_Itc__String__Ochar_J_000tc__HOL__Obool) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 28 (all B_1_1 all B_2_1 is_bool(hAPP_list_ty_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__List__Olist_Itc__Type__Oty_J_000tc__HOL__Obool) # label(hypothesis) # label(non_clause). [assumption].
% 2.22/2.48 29 (all B_1_1 all B_2_1 is_bool(hAPP_list_val_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__List__Olist_Itc__Value__Oval_J_000tc__HOL__Obool) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 30 (all B_1_1 all B_2_1 is_bool(hAPP_l2060099886l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__List__Olist_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__St) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 31 (all B_1_1 all B_2_1 is_bool(hAPP_l1440102849l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__List__Olist_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__Li) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 32 (all B_1_1 all B_2_1 is_bool(hAPP_l1176981118y_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__List__Olist_Itc__prod_Itc__prod_Itc__List__Olist_Itc__String__) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 33 (all B_1_1 all B_2_1 is_bool(hAPP_l492540231l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__List__Olist_Itc__prod_Itc__prod_Itc__List__Olist_Itc__String___001) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 34 (all B_1_1 all B_2_1 is_bool(hAPP_nat_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__Nat__Onat_000tc__HOL__Obool) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 35 (all B_1_1 all B_2_1 is_bool(hAPP_ty_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__Type__Oty_000tc__HOL__Obool) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 36 (all B_1_1 all B_2_1 is_bool(hAPP_val_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__Value__Oval_000tc__HOL__Obool) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 37 (all B_1_1 all B_2_1 is_bool(hAPP_f1001225811y_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Option__Ooption) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 38 (all B_1_1 all B_2_1 is_bool(hAPP_f1033709212l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Option__Ooption_002) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 39 (all B_1_1 all B_2_1 is_bool(hAPP_f61040418l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_Itc__List__O) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 40 (all B_1_1 all B_2_1 is_bool(hAPP_f1715346603l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List_) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 41 (all B_1_1 all B_2_1 is_bool(hAPP_P943837928l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Value__Oval_Mtc__Value__Ov) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 42 (all B_1_1 all B_2_1 is_bool(hAPP_P1632759357r_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J_M) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 43 (all B_1_1 all B_2_1 is_bool(hAPP_P1708370145l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J_M_003) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 44 (all B_1_1 all B_2_1 is_bool(hAPP_P499022727r_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Olist_Itc__St) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 45 (all B_1_1 all B_2_1 is_bool(hAPP_P71593144l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Olist_Itc__St_004) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 46 (all B_1_1 all B_2_1 is_bool(hAPP_P2014166431r_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__Ochar_J_J_) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 47 (all B_1_1 all B_2_1 is_bool(hAPP_P476431815r_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__Ochar_J_J__005) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 48 (all B_1_1 all B_2_1 is_bool(hAPP_P92196306r_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__Ochar_J_J__006) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 49 (all B_1_1 all B_2_1 is_bool(hAPP_P449474095r_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List__Olist_It) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 50 (all B_1_1 all B_2_1 is_bool(hAPP_P748443392y_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Type__Oty_J_00) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 51 (all B_1_1 all B_2_1 is_bool(hAPP_P1235399154l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_Itc__prod_) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 52 (all B_1_1 all B_2_1 is_bool(hAPP_P831231943y_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_Itc__List) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 53 (all B_1_1 all B_2_1 is_bool(hAPP_P1574824955y_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__List__Olist_Itc__T) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 54 (all B_1_1 all B_2_1 is_bool(hAPP_P1907982426r_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc__List__Ol) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 55 (all B_1_1 all B_2_1 is_bool(hAPP_P2118621157r_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Expr__Oexp_Itc__) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 56 (all B_1_1 all B_2_1 is_bool(hAPP_P2115985549l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__List__Olist_Itc_) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 57 (all B_1_1 all B_2_1 is_bool(hAPP_P1038730315l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__prod_Itc__Expr__Oexp_Itc__List__Oli) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 58 (all B_1_1 all B_2_1 is_bool(hAPP_P1821438151l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc__Expr__Oe) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 59 (all B_1_1 all B_2_1 is_bool(hAPP_P1700239815r_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__String__Ochar_Mtc__String__Ochar_J_000tc__HOL__Obool) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 60 (all B_1_1 all B_2_1 is_bool(hAPP_P1716187463y_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__Type__Oty_Mtc__Type__Oty_J_000tc__HOL__Obool) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 61 (all B_1_1 all B_2_1 is_bool(hAPP_P929938951l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_000tc__HOL__Obool) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 62 (all B_1_1 all B_2_1 is_bool(hAPP_P159683425l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_It) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 63 (all B_1_1 all B_2_1 is_bool(hAPP_P738987199l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Value__Oval_Mtc_) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 64 (all B_1_1 all B_2_1 is_bool(hAPP_P282169671l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__O) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 65 (all B_1_1 all B_2_1 is_bool(hAPP_P1333315679l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Oli) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 66 (all B_1_1 all B_2_1 is_bool(hAPP_P1002912327r_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 67 (all B_1_1 all B_2_1 is_bool(hAPP_P824029447r_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String___007) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 68 (all B_1_1 all B_2_1 is_bool(hAPP_P27757617y_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 69 (all B_1_1 all B_2_1 is_bool(hAPP_P1070896250l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List_008) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 70 (all B_1_1 all B_2_1 is_bool(hAPP_P2010574925r_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List_009) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 71 (all B_1_1 all B_2_1 is_bool(hAPP_P124632071l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 72 (all B_1_1 all B_2_1 is_bool(hAPP_P1240100515r_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 73 (all B_1_1 all B_2_1 is_bool(hAPP_P1183499705r_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Expr__) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 74 (all B_1_1 all B_2_1 is_bool(hAPP_P2123002749l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_Mtc__prod_I) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 75 (all B_1_1 all B_2_1 is_bool(hAPP_P1221872711l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 76 (all B_1_1 all B_2_1 is_bool(hAPP_P378063101l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc_) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 77 (all B_1_1 all B_2_1 is_bool(hAPP_P2028072621l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc_) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 78 (all B_1_1 all B_2_1 is_bool(hAPP_P439015943l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 79 (all B_1_1 all B_2_1 is_bool(member_exp_list_char(B_1_1,B_2_1))) # label(gsy_c_member_000tc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 80 (all B_1_1 all B_2_1 is_bool(member_list_char(B_1_1,B_2_1))) # label(gsy_c_member_000tc__List__Olist_Itc__String__Ochar_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 81 (all B_1_1 all B_2_1 is_bool(member_nat(B_1_1,B_2_1))) # label(gsy_c_member_000tc__Nat__Onat) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 82 (all B_1_1 all B_2_1 is_bool(member_option_ty(B_1_1,B_2_1))) # label(gsy_c_member_000tc__Option__Ooption_Itc__Type__Oty_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 83 (all B_1_1 all B_2_1 is_bool(member_ty(B_1_1,B_2_1))) # label(gsy_c_member_000tc__Type__Oty) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 84 (all B_1_1 all B_2_1 is_bool(member_val(B_1_1,B_2_1))) # label(gsy_c_member_000tc__Value__Oval) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 85 (all B_1_1 all B_2_1 is_bool(member1199939018t_char(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 86 (all B_1_1 all B_2_1 is_bool(member894971540t_char(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Olist_Itc__) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 87 (all B_1_1 all B_2_1 is_bool(member817832404t_char(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__Ochar_J_) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 88 (all B_1_1 all B_2_1 is_bool(member1251428284t_char(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List__Olist_) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 89 (all B_1_1 all B_2_1 is_bool(member104734088ist_ty(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__List__Olist_Itc_) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 90 (all B_1_1 all B_2_1 is_bool(member273646106st_val(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__List__Olist_It) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 91 (all B_1_1 all B_2_1 is_bool(member1942985176on_val(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__List__Olist_Itc__prod_Itc__Expr__Oexp_Itc__List__O) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 92 (all B_1_1 all B_2_1 is_bool(member295766740on_val(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc__Expr__) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 93 (all B_1_1 all B_2_1 is_bool(member1725532372r_char(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__String__Ochar_Mtc__String__Ochar_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 94 (all B_1_1 all B_2_1 is_bool(member1736614484_ty_ty(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__Type__Oty_Mtc__Type__Oty_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 95 (all B_1_1 all B_2_1 is_bool(member649088532al_val(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__Value__Oval_Mtc__Value__Oval_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 96 (all B_1_1 all B_2_1 is_bool(member1732271180al_val(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Value__Oval_Mt) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 97 (all B_1_1 all B_2_1 is_bool(member773094996on_val(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String_) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 98 (all B_1_1 all B_2_1 is_bool(member875476972on_val(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__O) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 99 (all B_1_1 all B_2_1 is_bool(member1999287380t_char(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 100 (all B_1_1 all B_2_1 is_bool(member1420286996t_char(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String_010) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 101 (all B_1_1 all B_2_1 is_bool(member1783291580har_ty(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Li) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 102 (all B_1_1 all B_2_1 is_bool(member806854661ar_val(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Li_011) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 103 (all B_1_1 all B_2_1 is_bool(member794220506t_char(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Li_012) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 104 (all B_1_1 all B_2_1 is_bool(member1322055188on_val(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fu) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 105 (all B_1_1 all B_2_1 is_bool(member125098544t_char(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_I) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 106 (all B_1_1 all B_2_1 is_bool(member1161907014t_char(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Expr) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 107 (all B_1_1 all B_2_1 is_bool(member837208074al_val(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_Mtc__prod) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 108 (all B_1_1 all B_2_1 is_bool(member563141460on_val(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 109 (all B_1_1 all B_2_1 is_bool(member808015754on_val(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_It) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 110 (all B_1_1 all B_2_1 is_bool(member88670778on_val(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_It) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 111 (all B_1_1 all B_2_1 is_bool(member619264020ar_val(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 112 (all Pa all Xs hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(widen_2090681816t_char(Pa),Xs),Xs))) # label(fact_0_widens__refl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 113 (all P_4 all T_9 hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(P_4),T_9),T_9))) # label(fact_1_widen__refl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 114 (all Us_3 all Pa all Ss all Tsa (hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(widen_2090681816t_char(Pa),Ss),Tsa)) -> (hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(widen_2090681816t_char(Pa),Tsa),Us_3)) -> hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(widen_2090681816t_char(Pa),Ss),Us_3))))) # label(fact_2_widens__trans) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 115 (all Pa all Xs all Ys (hBOOL(hAPP_l1440102849l_bool(list_a809715167on_val(Pa,Xs),Ys)) -> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_l1766199206al_nat(size_s470606735on_val,Ys))) # label(fact_3_list__all2__lengthD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 116 (all Pa all Xs all Ys (hBOOL(hAPP_l2060099886l_bool(list_a1874290002on_val(Pa,Xs),Ys)) -> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_l1746926841al_nat(size_s60479160on_val,Ys))) # label(fact_4_list__all2__lengthD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 117 (all Pa all Xs all Ys (hBOOL(hAPP_list_char_bool(list_a1647123652r_char(Pa,Xs),Ys)) -> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_list_char_nat(size_size_list_char,Ys))) # label(fact_5_list__all2__lengthD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 118 (all Pa all Xs all Ys (hBOOL(hAPP_l1176981118y_bool(list_a1115291042har_ty(Pa,Xs),Ys)) -> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_l540212137ty_nat(size_s1444510216har_ty,Ys))) # label(fact_6_list__all2__lengthD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 119 (all Pa all Xs all Ys (hBOOL(hAPP_l492540231l_bool(list_a400141291ar_val(Pa,Xs),Ys)) -> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_l1280603808al_nat(size_s760178257ar_val,Ys))) # label(fact_7_list__all2__lengthD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 120 (all Pa all Xs all Ys (hBOOL(hAPP_l292106447y_bool(list_a1834344429ion_ty(Pa,Xs),Ys)) -> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_l289305880ty_nat(size_s1050794909ion_ty,Ys))) # label(fact_8_list__all2__lengthD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 121 (all Pa all Xs all Ys (hBOOL(hAPP_l1440102849l_bool(list_a392402672on_val(Pa,Xs),Ys)) -> hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_l1766199206al_nat(size_s470606735on_val,Ys))) # label(fact_9_list__all2__lengthD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 122 (all Pa all Xs all Ys (hBOOL(hAPP_l2060099886l_bool(list_a216081281on_val(Pa,Xs),Ys)) -> hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_l1746926841al_nat(size_s60479160on_val,Ys))) # label(fact_10_list__all2__lengthD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 123 (all Pa all Xs all Ys (hBOOL(hAPP_list_char_bool(list_all2_ty_char(Pa,Xs),Ys)) -> hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_list_char_nat(size_size_list_char,Ys))) # label(fact_11_list__all2__lengthD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 124 (all Pa all Xs all Ys (hBOOL(hAPP_l1176981118y_bool(list_a860324561har_ty(Pa,Xs),Ys)) -> hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_l540212137ty_nat(size_s1444510216har_ty,Ys))) # label(fact_12_list__all2__lengthD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 125 (all Pa all Xs all Ys (hBOOL(hAPP_l492540231l_bool(list_a123308442ar_val(Pa,Xs),Ys)) -> hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_l1280603808al_nat(size_s760178257ar_val,Ys))) # label(fact_13_list__all2__lengthD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 126 (all Pa all Xs all Ys (hBOOL(hAPP_l292106447y_bool(list_a1880637950ion_ty(Pa,Xs),Ys)) -> hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_l289305880ty_nat(size_s1050794909ion_ty,Ys))) # label(fact_14_list__all2__lengthD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 127 (all Pa all Xs all Ys (hBOOL(hAPP_l1440102849l_bool(list_a88719801on_val(Pa,Xs),Ys)) -> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_l1766199206al_nat(size_s470606735on_val,Ys))) # label(fact_15_list__all2__lengthD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 128 (all Pa all Xs all Ys (hBOOL(hAPP_l2060099886l_bool(list_a1839848952on_val(Pa,Xs),Ys)) -> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_l1746926841al_nat(size_s60479160on_val,Ys))) # label(fact_16_list__all2__lengthD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 129 (all Pa all Xs all Ys (hBOOL(hAPP_list_char_bool(list_all2_val_char(Pa,Xs),Ys)) -> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_list_char_nat(size_size_list_char,Ys))) # label(fact_17_list__all2__lengthD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 130 (all Pa all Xs all Ys (hBOOL(hAPP_l1176981118y_bool(list_a2075757640har_ty(Pa,Xs),Ys)) -> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_l540212137ty_nat(size_s1444510216har_ty,Ys))) # label(fact_18_list__all2__lengthD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 131 (all Pa all Xs all Ys (hBOOL(hAPP_l492540231l_bool(list_a1609582481ar_val(Pa,Xs),Ys)) -> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_l1280603808al_nat(size_s760178257ar_val,Ys))) # label(fact_19_list__all2__lengthD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 132 (all Pa all Xs all Ys (hBOOL(hAPP_l292106447y_bool(list_a1462908359ion_ty(Pa,Xs),Ys)) -> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_l289305880ty_nat(size_s1050794909ion_ty,Ys))) # label(fact_20_list__all2__lengthD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 133 (all Pa all Xs all Ys (hBOOL(hAPP_l1440102849l_bool(list_a288514022on_val(Pa,Xs),Ys)) -> hAPP_l452123639ar_nat(size_s1143674878t_char,Xs) = hAPP_l1766199206al_nat(size_s470606735on_val,Ys))) # label(fact_21_list__all2__lengthD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 134 (all Pa all Xs all Ys (hBOOL(hAPP_l2060099886l_bool(list_a2080147979on_val(Pa,Xs),Ys)) -> hAPP_l452123639ar_nat(size_s1143674878t_char,Xs) = hAPP_l1746926841al_nat(size_s60479160on_val,Ys))) # label(fact_22_list__all2__lengthD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 135 (all Pa all Xs all Ys (hBOOL(hAPP_list_char_bool(list_a1552939645r_char(Pa,Xs),Ys)) -> hAPP_l452123639ar_nat(size_s1143674878t_char,Xs) = hAPP_list_char_nat(size_size_list_char,Ys))) # label(fact_23_list__all2__lengthD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 136 (all Pa all Xs all Ys (hBOOL(hAPP_l1176981118y_bool(list_a623412059har_ty(Pa,Xs),Ys)) -> hAPP_l452123639ar_nat(size_s1143674878t_char,Xs) = hAPP_l540212137ty_nat(size_s1444510216har_ty,Ys))) # label(fact_24_list__all2__lengthD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 137 (all Pa all Xs all Ys (hBOOL(hAPP_l492540231l_bool(list_a1554965796ar_val(Pa,Xs),Ys)) -> hAPP_l452123639ar_nat(size_s1143674878t_char,Xs) = hAPP_l1280603808al_nat(size_s760178257ar_val,Ys))) # label(fact_25_list__all2__lengthD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 138 (all Pa all Xs all Ys (hBOOL(hAPP_l292106447y_bool(list_a52822260ion_ty(Pa,Xs),Ys)) -> hAPP_l452123639ar_nat(size_s1143674878t_char,Xs) = hAPP_l289305880ty_nat(size_s1050794909ion_ty,Ys))) # label(fact_26_list__all2__lengthD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 139 (all Pa all Xs all Ys (hBOOL(hAPP_l1948381865r_bool(list_a1169722591t_char(Pa,Xs),Ys)) -> hAPP_l1766199206al_nat(size_s470606735on_val,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys))) # label(fact_27_list__all2__lengthD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 140 (all Pa all Xs all Ys (hBOOL(hAPP_l1948381865r_bool(list_a292640256t_char(Pa,Xs),Ys)) -> hAPP_l1746926841al_nat(size_s60479160on_val,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys))) # label(fact_28_list__all2__lengthD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 141 (all Pa all Xs all Ys (hBOOL(hAPP_l1948381865r_bool(list_a1337954418t_char(Pa,Xs),Ys)) -> hAPP_list_char_nat(size_size_list_char,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys))) # label(fact_29_list__all2__lengthD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 142 (all Pa all Xs all Ys (hBOOL(hAPP_l1948381865r_bool(list_a1479679312t_char(Pa,Xs),Ys)) -> hAPP_l540212137ty_nat(size_s1444510216har_ty,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys))) # label(fact_30_list__all2__lengthD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 143 (all Pa all Xs all Ys (hBOOL(hAPP_l1948381865r_bool(list_a24143385t_char(Pa,Xs),Ys)) -> hAPP_l1280603808al_nat(size_s760178257ar_val,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys))) # label(fact_31_list__all2__lengthD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 144 (all Pa all Xs all Ys (hBOOL(hAPP_l1948381865r_bool(list_a839443437t_char(Pa,Xs),Ys)) -> hAPP_l289305880ty_nat(size_s1050794909ion_ty,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys))) # label(fact_32_list__all2__lengthD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 145 (all Pa all Xs all Ys (hBOOL(hAPP_list_ty_bool(list_a182912018val_ty(Pa,Xs),Ys)) -> hAPP_l1766199206al_nat(size_s470606735on_val,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys))) # label(fact_33_list__all2__lengthD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 146 (all Pa all Xs all Ys (hBOOL(hAPP_list_ty_bool(list_a2001304881val_ty(Pa,Xs),Ys)) -> hAPP_l1746926841al_nat(size_s60479160on_val,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys))) # label(fact_34_list__all2__lengthD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 147 (all Pa all Xs all Ys (hBOOL(hAPP_list_ty_bool(list_all2_char_ty(Pa,Xs),Ys)) -> hAPP_list_char_nat(size_size_list_char,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys))) # label(fact_35_list__all2__lengthD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 148 (all Pa all Xs all Ys (hBOOL(hAPP_list_ty_bool(list_a985311713_ty_ty(Pa,Xs),Ys)) -> hAPP_l540212137ty_nat(size_s1444510216har_ty,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys))) # label(fact_36_list__all2__lengthD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 149 (all Pa all Xs all Ys (hBOOL(hAPP_list_ty_bool(list_a307207512val_ty(Pa,Xs),Ys)) -> hAPP_l1280603808al_nat(size_s760178257ar_val,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys))) # label(fact_37_list__all2__lengthD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 150 (all Pa all Xs all Ys (hBOOL(hAPP_list_ty_bool(list_a2039389316_ty_ty(Pa,Xs),Ys)) -> hAPP_l289305880ty_nat(size_s1050794909ion_ty,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys))) # label(fact_38_list__all2__lengthD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 151 (all Pa all Xs all Ys (hBOOL(hAPP_list_val_bool(list_a595061083al_val(Pa,Xs),Ys)) -> hAPP_l1766199206al_nat(size_s470606735on_val,Xs) = hAPP_list_val_nat(size_size_list_val,Ys))) # label(fact_39_list__all2__lengthD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 152 (all Pa all Xs all Ys (hBOOL(hAPP_list_val_bool(list_a594658042al_val(Pa,Xs),Ys)) -> hAPP_l1746926841al_nat(size_s60479160on_val,Xs) = hAPP_list_val_nat(size_size_list_val,Ys))) # label(fact_40_list__all2__lengthD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 153 (all Pa all Xs all Ys (hBOOL(hAPP_list_val_bool(list_all2_char_val(Pa,Xs),Ys)) -> hAPP_list_char_nat(size_size_list_char,Xs) = hAPP_list_val_nat(size_size_list_val,Ys))) # label(fact_41_list__all2__lengthD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 154 (all Pa all Xs all Ys (hBOOL(hAPP_list_val_bool(list_a1068996522ty_val(Pa,Xs),Ys)) -> hAPP_l540212137ty_nat(size_s1444510216har_ty,Xs) = hAPP_list_val_nat(size_size_list_val,Ys))) # label(fact_42_list__all2__lengthD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 155 (all Pa all Xs all Ys (hBOOL(hAPP_list_val_bool(list_a1889288097al_val(Pa,Xs),Ys)) -> hAPP_l1280603808al_nat(size_s760178257ar_val,Xs) = hAPP_list_val_nat(size_size_list_val,Ys))) # label(fact_43_list__all2__lengthD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 156 (all Pa all Xs all Ys (hBOOL(hAPP_list_val_bool(list_a1073113293ty_val(Pa,Xs),Ys)) -> hAPP_l289305880ty_nat(size_s1050794909ion_ty,Xs) = hAPP_list_val_nat(size_size_list_val,Ys))) # label(fact_44_list__all2__lengthD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 157 (all Pa all Xs all Ys (hBOOL(hAPP_l1538097584r_bool(list_a1478901862t_char(Pa,Xs),Ys)) -> hAPP_l1766199206al_nat(size_s470606735on_val,Xs) = hAPP_l452123639ar_nat(size_s1143674878t_char,Ys))) # label(fact_45_list__all2__lengthD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 158 (all Pa all Xs all Ys (hBOOL(hAPP_l1538097584r_bool(list_a789546247t_char(Pa,Xs),Ys)) -> hAPP_l1746926841al_nat(size_s60479160on_val,Xs) = hAPP_l452123639ar_nat(size_s1143674878t_char,Ys))) # label(fact_46_list__all2__lengthD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 159 (all Pa all Xs all Ys (hBOOL(hAPP_l1538097584r_bool(list_a196402809t_char(Pa,Xs),Ys)) -> hAPP_list_char_nat(size_size_list_char,Xs) = hAPP_l452123639ar_nat(size_s1143674878t_char,Ys))) # label(fact_47_list__all2__lengthD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 160 (all Pa all Xs all Ys (hBOOL(hAPP_l1538097584r_bool(list_a1822188631t_char(Pa,Xs),Ys)) -> hAPP_l540212137ty_nat(size_s1444510216har_ty,Xs) = hAPP_l452123639ar_nat(size_s1143674878t_char,Ys))) # label(fact_48_list__all2__lengthD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 161 (all Pa all Xs all Ys (hBOOL(hAPP_l1538097584r_bool(list_a422786208t_char(Pa,Xs),Ys)) -> hAPP_l1280603808al_nat(size_s760178257ar_val,Xs) = hAPP_l452123639ar_nat(size_s1143674878t_char,Ys))) # label(fact_49_list__all2__lengthD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 162 (all Pa all Xs all Ys (hBOOL(hAPP_l1538097584r_bool(list_a283687028t_char(Pa,Xs),Ys)) -> hAPP_l289305880ty_nat(size_s1050794909ion_ty,Xs) = hAPP_l452123639ar_nat(size_s1143674878t_char,Ys))) # label(fact_50_list__all2__lengthD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 163 (all Pa all Xs all Ys (hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(Pa,Xs),Ys)) -> hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys))) # label(fact_51_list__all2__lengthD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 164 (all Pa all Xs all Ys (hBOOL(hAPP_list_ty_bool(list_all2_val_ty(Pa,Xs),Ys)) -> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys))) # label(fact_52_list__all2__lengthD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 165 (all F_1 all Xs hAPP_l1961350547ty_nat(size_s1518787998har_ty,hAPP_l1910281173har_ty(map_Pr1267419400har_ty(F_1),Xs)) = hAPP_l540212137ty_nat(size_s1444510216har_ty,Xs)) # label(fact_53_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 166 (all F_1 all Xs hAPP_l540212137ty_nat(size_s1444510216har_ty,hAPP_l162677262har_ty(map_Pr1471044963har_ty(F_1),Xs)) = hAPP_l1526684570ty_nat(size_s1760542935har_ty,Xs)) # label(fact_54_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 167 (all F_1 all Xs hAPP_l1718801839al_nat(size_s1457910402on_val,hAPP_l1790629643on_val(map_li596218076on_val(F_1),Xs)) = hAPP_l49336279al_nat(size_s655688734ar_val,Xs)) # label(fact_55_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 168 (all F_1 all Xs hAPP_l49336279al_nat(size_s655688734ar_val,hAPP_l823328606ar_val(map_li912744805ar_val(F_1),Xs)) = hAPP_l23466336ty_nat(size_s764697941har_ty,Xs)) # label(fact_56_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 169 (all F_1 all Xs hAPP_l1718801839al_nat(size_s1457910402on_val,hAPP_l721971010on_val(map_li1065623653on_val(F_1),Xs)) = hAPP_l23466336ty_nat(size_s764697941har_ty,Xs)) # label(fact_57_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 170 (all F_1 all Xs hAPP_list_nat_nat(size_size_list_nat,hAPP_l248265089st_nat(map_nat_nat(F_1),Xs)) = hAPP_list_nat_nat(size_size_list_nat,Xs)) # label(fact_58_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 171 (all F_1 all Xs hAPP_l365675759ar_nat(size_s1010401542t_char,hAPP_l250787541t_char(map_Pr361633150t_char(F_1),Xs)) = hAPP_l365675759ar_nat(size_s1010401542t_char,Xs)) # label(fact_59_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 172 (all F_1 all Xs hAPP_l1593094847al_nat(size_s2086378294on_val,hAPP_l1208602837on_val(map_Pr1729094110on_val(F_1),Xs)) = hAPP_l1593094847al_nat(size_s2086378294on_val,Xs)) # label(fact_60_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 173 (all F_1 all Xs hAPP_l1794950871al_nat(size_s1699857438on_val,hAPP_l1695428693on_val(map_Pr1655409582on_val(F_1),Xs)) = hAPP_l1794950871al_nat(size_s1699857438on_val,Xs)) # label(fact_61_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 174 (all F_1 all Xs hAPP_l66428094ar_nat(size_s2113983095t_char,hAPP_l1664314621t_char(map_Pr1982459768t_char(F_1),Xs)) = hAPP_l1766199206al_nat(size_s470606735on_val,Xs)) # label(fact_62_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 175 (all F_1 all Xs hAPP_l66428094ar_nat(size_s2113983095t_char,hAPP_l244703952t_char(map_Pr1152367783t_char(F_1),Xs)) = hAPP_l1746926841al_nat(size_s60479160on_val,Xs)) # label(fact_63_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 176 (all F_1 all Xs hAPP_l66428094ar_nat(size_s2113983095t_char,hAPP_l1927076062t_char(map_char_list_char(F_1),Xs)) = hAPP_list_char_nat(size_size_list_char,Xs)) # label(fact_64_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 177 (all F_1 all Xs hAPP_l66428094ar_nat(size_s2113983095t_char,hAPP_l632662400t_char(map_Pr197231351t_char(F_1),Xs)) = hAPP_l540212137ty_nat(size_s1444510216har_ty,Xs)) # label(fact_65_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 178 (all F_1 all Xs hAPP_l66428094ar_nat(size_s2113983095t_char,hAPP_l1890693879t_char(map_Pr1809410112t_char(F_1),Xs)) = hAPP_l1280603808al_nat(size_s760178257ar_val,Xs)) # label(fact_66_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 179 (all F_1 all Xs hAPP_l66428094ar_nat(size_s2113983095t_char,hAPP_l1368737135t_char(map_op1924521862t_char(F_1),Xs)) = hAPP_l289305880ty_nat(size_s1050794909ion_ty,Xs)) # label(fact_67_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 180 (all F_1 all Xs hAPP_list_ty_nat(size_size_list_ty,hAPP_l674002314ist_ty(map_Pr58749369val_ty(F_1),Xs)) = hAPP_l1766199206al_nat(size_s470606735on_val,Xs)) # label(fact_68_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 181 (all F_1 all Xs hAPP_list_ty_nat(size_size_list_ty,hAPP_l560448119ist_ty(map_Pr401282634val_ty(F_1),Xs)) = hAPP_l1746926841al_nat(size_s60479160on_val,Xs)) # label(fact_69_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 182 (all F_1 all Xs hAPP_list_ty_nat(size_size_list_ty,hAPP_l1044806633ist_ty(map_char_ty(F_1),Xs)) = hAPP_list_char_nat(size_size_list_char,Xs)) # label(fact_70_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 183 (all F_1 all Xs hAPP_list_ty_nat(size_size_list_ty,hAPP_l1097172935ist_ty(map_Pr1636893690_ty_ty(F_1),Xs)) = hAPP_l540212137ty_nat(size_s1444510216har_ty,Xs)) # label(fact_71_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 184 (all F_1 all Xs hAPP_list_ty_nat(size_size_list_ty,hAPP_l1538085392ist_ty(map_Pr199785201val_ty(F_1),Xs)) = hAPP_l1280603808al_nat(size_s760178257ar_val,Xs)) # label(fact_72_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 185 (all F_1 all Xs hAPP_list_ty_nat(size_size_list_ty,hAPP_l1583451544ist_ty(map_option_ty_ty(F_1),Xs)) = hAPP_l289305880ty_nat(size_s1050794909ion_ty,Xs)) # label(fact_73_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 186 (all F_1 all Xs hAPP_list_val_nat(size_size_list_val,hAPP_l228474410st_val(map_option_val_val(F_1),Xs)) = hAPP_l870066319al_nat(size_s1595297126on_val,Xs)) # label(fact_74_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 187 (all F_1 all Xs hAPP_list_val_nat(size_size_list_val,hAPP_l1342091219st_val(map_Pr1583805314al_val(F_1),Xs)) = hAPP_l1766199206al_nat(size_s470606735on_val,Xs)) # label(fact_75_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 188 (all F_1 all Xs hAPP_list_val_nat(size_size_list_val,hAPP_l1023956544st_val(map_Pr1730568083al_val(F_1),Xs)) = hAPP_l1746926841al_nat(size_s60479160on_val,Xs)) # label(fact_76_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 189 (all F_1 all Xs hAPP_list_val_nat(size_size_list_val,hAPP_l473790130st_val(map_char_val(F_1),Xs)) = hAPP_list_char_nat(size_size_list_char,Xs)) # label(fact_77_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 190 (all F_1 all Xs hAPP_list_val_nat(size_size_list_val,hAPP_l1473803152st_val(map_Pr961574211ty_val(F_1),Xs)) = hAPP_l540212137ty_nat(size_s1444510216har_ty,Xs)) # label(fact_78_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 191 (all F_1 all Xs hAPP_list_val_nat(size_size_list_val,hAPP_l1523427673st_val(map_Pr1022222522al_val(F_1),Xs)) = hAPP_l1280603808al_nat(size_s760178257ar_val,Xs)) # label(fact_79_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 192 (all F_1 all Xs hAPP_list_val_nat(size_size_list_val,hAPP_l336371937st_val(map_option_ty_val(F_1),Xs)) = hAPP_l289305880ty_nat(size_s1050794909ion_ty,Xs)) # label(fact_80_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 193 (all F_1 all Xs hAPP_l452123639ar_nat(size_s1143674878t_char,hAPP_l1683732356t_char(map_Pr1211171455t_char(F_1),Xs)) = hAPP_l1766199206al_nat(size_s470606735on_val,Xs)) # label(fact_81_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 194 (all F_1 all Xs hAPP_l452123639ar_nat(size_s1143674878t_char,hAPP_l2043127767t_char(map_Pr161410094t_char(F_1),Xs)) = hAPP_l1746926841al_nat(size_s60479160on_val,Xs)) # label(fact_82_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 195 (all F_1 all Xs hAPP_l452123639ar_nat(size_s1143674878t_char,hAPP_l925187813t_char(map_ch278031520t_char(F_1),Xs)) = hAPP_list_char_nat(size_size_list_char,Xs)) # label(fact_83_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 196 (all F_1 all Xs hAPP_l452123639ar_nat(size_s1143674878t_char,hAPP_l2038191751t_char(map_Pr863062654t_char(F_1),Xs)) = hAPP_l540212137ty_nat(size_s1444510216har_ty,Xs)) # label(fact_84_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 197 (all F_1 all Xs hAPP_l452123639ar_nat(size_s1143674878t_char,hAPP_l347191422t_char(map_Pr187266887t_char(F_1),Xs)) = hAPP_l1280603808al_nat(size_s760178257ar_val,Xs)) # label(fact_85_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 198 (all F_1 all Xs hAPP_l452123639ar_nat(size_s1143674878t_char,hAPP_l330149622t_char(map_op1779340173t_char(F_1),Xs)) = hAPP_l289305880ty_nat(size_s1050794909ion_ty,Xs)) # label(fact_86_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 199 (all F_1 all Xs hAPP_l870066319al_nat(size_s1595297126on_val,hAPP_l297961988on_val(map_li50976719on_val(F_1),Xs)) = hAPP_l66428094ar_nat(size_s2113983095t_char,Xs)) # label(fact_87_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 200 (all F_1 all Xs hAPP_l66428094ar_nat(size_s2113983095t_char,hAPP_l407174677t_char(map_li1333403488t_char(F_1),Xs)) = hAPP_l66428094ar_nat(size_s2113983095t_char,Xs)) # label(fact_88_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 201 (all F_1 all Xs hAPP_l1766199206al_nat(size_s470606735on_val,hAPP_l1956999469on_val(map_li1622452344on_val(F_1),Xs)) = hAPP_l66428094ar_nat(size_s2113983095t_char,Xs)) # label(fact_89_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 202 (all F_1 all Xs hAPP_l1746926841al_nat(size_s60479160on_val,hAPP_l713251482on_val(map_li586533881on_val(F_1),Xs)) = hAPP_l66428094ar_nat(size_s2113983095t_char,Xs)) # label(fact_90_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 203 (all F_1 all Xs hAPP_list_char_nat(size_size_list_char,hAPP_l838080012t_char(map_list_char_char(F_1),Xs)) = hAPP_l66428094ar_nat(size_s2113983095t_char,Xs)) # label(fact_91_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 204 (all F_1 all Xs hAPP_l540212137ty_nat(size_s1444510216har_ty,hAPP_l1261744106har_ty(map_li1980326729har_ty(F_1),Xs)) = hAPP_l66428094ar_nat(size_s2113983095t_char,Xs)) # label(fact_92_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 205 (all F_1 all Xs hAPP_l1280603808al_nat(size_s760178257ar_val,hAPP_l1298778931ar_val(map_li37924370ar_val(F_1),Xs)) = hAPP_l66428094ar_nat(size_s2113983095t_char,Xs)) # label(fact_93_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 206 (all F_1 all Xs hAPP_l289305880ty_nat(size_s1050794909ion_ty,hAPP_l1491470139ion_ty(map_li771939206ion_ty(F_1),Xs)) = hAPP_l66428094ar_nat(size_s2113983095t_char,Xs)) # label(fact_94_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 207 (all F_1 all Xs hAPP_l1766199206al_nat(size_s470606735on_val,hAPP_l273343760on_val(map_ty268240023on_val(F_1),Xs)) = hAPP_list_ty_nat(size_size_list_ty,Xs)) # label(fact_95_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 208 (all F_1 all Xs hAPP_l1746926841al_nat(size_s60479160on_val,hAPP_l664719479on_val(map_ty763542682on_val(F_1),Xs)) = hAPP_list_ty_nat(size_size_list_ty,Xs)) # label(fact_96_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 209 (all F_1 all Xs hAPP_list_char_nat(size_size_list_char,hAPP_l1705142505t_char(map_ty_char(F_1),Xs)) = hAPP_list_ty_nat(size_size_list_ty,Xs)) # label(fact_97_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 210 (all F_1 all Xs hAPP_l540212137ty_nat(size_s1444510216har_ty,hAPP_l499600071har_ty(map_ty1511906538har_ty(F_1),Xs)) = hAPP_list_ty_nat(size_size_list_ty,Xs)) # label(fact_98_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 211 (all F_1 all Xs hAPP_l1280603808al_nat(size_s760178257ar_val,hAPP_l958580624ar_val(map_ty15886131ar_val(F_1),Xs)) = hAPP_list_ty_nat(size_size_list_ty,Xs)) # label(fact_99_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 212 (all F_1 all Xs hAPP_l1766199206al_nat(size_s470606735on_val,hAPP_l1097436295on_val(map_va1077464032on_val(F_1),Xs)) = hAPP_list_val_nat(size_size_list_val,Xs)) # label(fact_100_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 213 (all F_1 all Xs hAPP_l1746926841al_nat(size_s60479160on_val,hAPP_l863146944on_val(map_va828275345on_val(F_1),Xs)) = hAPP_list_val_nat(size_size_list_val,Xs)) # label(fact_101_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 214 (all F_1 all Xs hAPP_list_char_nat(size_size_list_char,hAPP_l281179442t_char(map_val_char(F_1),Xs)) = hAPP_list_val_nat(size_size_list_val,Xs)) # label(fact_102_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 215 (all F_1 all Xs hAPP_l540212137ty_nat(size_s1444510216har_ty,hAPP_l220561168har_ty(map_va1968335329har_ty(F_1),Xs)) = hAPP_list_val_nat(size_size_list_val,Xs)) # label(fact_103_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 216 (all F_1 all Xs hAPP_l1280603808al_nat(size_s760178257ar_val,hAPP_l412706649ar_val(map_va742516906ar_val(F_1),Xs)) = hAPP_list_val_nat(size_size_list_val,Xs)) # label(fact_104_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 217 (all F_1 all Xs hAPP_l1766199206al_nat(size_s470606735on_val,hAPP_l897806566on_val(map_ex20783615on_val(F_1),Xs)) = hAPP_l452123639ar_nat(size_s1143674878t_char,Xs)) # label(fact_105_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 218 (all F_1 all Xs hAPP_l1746926841al_nat(size_s60479160on_val,hAPP_l1429130273on_val(map_ex1452011826on_val(F_1),Xs)) = hAPP_l452123639ar_nat(size_s1143674878t_char,Xs)) # label(fact_106_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 219 (all F_1 all Xs hAPP_list_char_nat(size_size_list_char,hAPP_l89656979t_char(map_ex1634568356r_char(F_1),Xs)) = hAPP_l452123639ar_nat(size_s1143674878t_char,Xs)) # label(fact_107_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 220 (all F_1 all Xs hAPP_l540212137ty_nat(size_s1444510216har_ty,hAPP_l527892593har_ty(map_ex1811769730har_ty(F_1),Xs)) = hAPP_l452123639ar_nat(size_s1143674878t_char,Xs)) # label(fact_108_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 221 (all F_1 all Xs hAPP_l1280603808al_nat(size_s760178257ar_val,hAPP_l1207846970ar_val(map_ex1319446475ar_val(F_1),Xs)) = hAPP_l452123639ar_nat(size_s1143674878t_char,Xs)) # label(fact_109_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 222 (all F_1 all Xs hAPP_l289305880ty_nat(size_s1050794909ion_ty,hAPP_l1002225652ion_ty(map_ex1548475405ion_ty(F_1),Xs)) = hAPP_l452123639ar_nat(size_s1143674878t_char,Xs)) # label(fact_110_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 223 (all F_1 all Xs hAPP_l289305880ty_nat(size_s1050794909ion_ty,hAPP_l2006940821ion_ty(map_val_option_ty(F_1),Xs)) = hAPP_list_val_nat(size_size_list_val,Xs)) # label(fact_111_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 224 (all F_1 all Xs hAPP_l289305880ty_nat(size_s1050794909ion_ty,hAPP_l1487035934ion_ty(map_ty_option_ty(F_1),Xs)) = hAPP_list_ty_nat(size_size_list_ty,Xs)) # label(fact_112_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 225 (all F_1 all Xs hAPP_l452123639ar_nat(size_s1143674878t_char,hAPP_l732421366t_char(map_va1934808527t_char(F_1),Xs)) = hAPP_list_val_nat(size_size_list_val,Xs)) # label(fact_113_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 226 (all F_1 all Xs hAPP_list_val_nat(size_size_list_val,hAPP_l1892737211st_val(map_list_char_val(F_1),Xs)) = hAPP_l66428094ar_nat(size_s2113983095t_char,Xs)) # label(fact_114_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 227 (all F_1 all Xs hAPP_l1280603808al_nat(size_s760178257ar_val,hAPP_l608137480ar_val(map_Pr1153581243ar_val(F_1),Xs)) = hAPP_l540212137ty_nat(size_s1444510216har_ty,Xs)) # label(fact_115_length__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 228 (all F_1 all Xs all G all Ys (hAPP_l1336021888har_ty(map_li56668639har_ty(F_1),Xs) = hAPP_l1910281173har_ty(map_Pr1267419400har_ty(G),Ys) -> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_l540212137ty_nat(size_s1444510216har_ty,Ys))) # label(fact_116_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 229 (all F_1 all Xs all G all Ys (hAPP_l1261744106har_ty(map_li1980326729har_ty(F_1),Xs) = hAPP_l162677262har_ty(map_Pr1471044963har_ty(G),Ys) -> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_l1526684570ty_nat(size_s1760542935har_ty,Ys))) # label(fact_117_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 230 (all F_1 all Xs all G all Ys (hAPP_l164125796on_val(map_li1461022915on_val(F_1),Xs) = hAPP_l1790629643on_val(map_li596218076on_val(G),Ys) -> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_l49336279al_nat(size_s655688734ar_val,Ys))) # label(fact_118_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 231 (all F_1 all Xs all G all Ys (hAPP_l1975021756ar_val(map_li401377927ar_val(F_1),Xs) = hAPP_l823328606ar_val(map_li912744805ar_val(G),Ys) -> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_l23466336ty_nat(size_s764697941har_ty,Ys))) # label(fact_119_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 232 (all F_1 all Xs all G all Ys (hAPP_l164125796on_val(map_li1461022915on_val(F_1),Xs) = hAPP_l721971010on_val(map_li1065623653on_val(G),Ys) -> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_l23466336ty_nat(size_s764697941har_ty,Ys))) # label(fact_120_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 233 (all F_1 all Xs all G all Ys (hAPP_l1111097995st_nat(map_list_char_nat(F_1),Xs) = hAPP_l248265089st_nat(map_nat_nat(G),Ys) -> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_list_nat_nat(size_size_list_nat,Ys))) # label(fact_121_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 234 (all F_1 all Xs all G all Ys (hAPP_l1416713636t_char(map_li239070063t_char(F_1),Xs) = hAPP_l250787541t_char(map_Pr361633150t_char(G),Ys) -> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_l365675759ar_nat(size_s1010401542t_char,Ys))) # label(fact_122_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 235 (all F_1 all Xs all G all Ys (hAPP_l2122855380on_val(map_li1925379487on_val(F_1),Xs) = hAPP_l1208602837on_val(map_Pr1729094110on_val(G),Ys) -> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_l1593094847al_nat(size_s2086378294on_val,Ys))) # label(fact_123_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 236 (all F_1 all Xs all G all Ys (hAPP_l418486716on_val(map_li1100402823on_val(F_1),Xs) = hAPP_l1695428693on_val(map_Pr1655409582on_val(G),Ys) -> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_l1794950871al_nat(size_s1699857438on_val,Ys))) # label(fact_124_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 237 (all F_1 all Xs all G all Ys (hAPP_l573877853har_ty(map_ty1735732096har_ty(F_1),Xs) = hAPP_l1910281173har_ty(map_Pr1267419400har_ty(G),Ys) -> hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_l540212137ty_nat(size_s1444510216har_ty,Ys))) # label(fact_125_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 238 (all F_1 all Xs all G all Ys (hAPP_l499600071har_ty(map_ty1511906538har_ty(F_1),Xs) = hAPP_l162677262har_ty(map_Pr1471044963har_ty(G),Ys) -> hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_l1526684570ty_nat(size_s1760542935har_ty,Ys))) # label(fact_126_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 239 (all F_1 all Xs all G all Ys (hAPP_l642124097on_val(map_ty330392676on_val(F_1),Xs) = hAPP_l1790629643on_val(map_li596218076on_val(G),Ys) -> hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_l49336279al_nat(size_s655688734ar_val,Ys))) # label(fact_127_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 240 (all F_1 all Xs all G all Ys (hAPP_l654786079ar_val(map_ty217218598ar_val(F_1),Xs) = hAPP_l823328606ar_val(map_li912744805ar_val(G),Ys) -> hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_l23466336ty_nat(size_s764697941har_ty,Ys))) # label(fact_128_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 241 (all F_1 all Xs all G all Ys (hAPP_l642124097on_val(map_ty330392676on_val(F_1),Xs) = hAPP_l721971010on_val(map_li1065623653on_val(G),Ys) -> hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_l23466336ty_nat(size_s764697941har_ty,Ys))) # label(fact_129_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 242 (all F_1 all Xs all G all Ys (hAPP_l1530663448st_val(map_ty_val(F_1),Xs) = hAPP_l228474410st_val(map_option_val_val(G),Ys) -> hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_l870066319al_nat(size_s1595297126on_val,Ys))) # label(fact_130_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 243 (all F_1 all Xs all G all Ys (hAPP_l1014734695on_val(map_ty_option_val(F_1),Xs) = hAPP_l297961988on_val(map_li50976719on_val(G),Ys) -> hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys))) # label(fact_131_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 244 (all F_1 all Xs all G all Ys (hAPP_l402740472t_char(map_ty_list_char(F_1),Xs) = hAPP_l407174677t_char(map_li1333403488t_char(G),Ys) -> hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys))) # label(fact_132_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 245 (all F_1 all Xs all G all Ys (hAPP_l277434984st_nat(map_ty_nat(F_1),Xs) = hAPP_l248265089st_nat(map_nat_nat(G),Ys) -> hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_list_nat_nat(size_size_list_nat,Ys))) # label(fact_133_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 246 (all F_1 all Xs all G all Ys (hAPP_l1218266887t_char(map_ty1751634702t_char(F_1),Xs) = hAPP_l250787541t_char(map_Pr361633150t_char(G),Ys) -> hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_l365675759ar_nat(size_s1010401542t_char,Ys))) # label(fact_134_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 247 (all F_1 all Xs all G all Ys (hAPP_l2092195639on_val(map_ty1597677374on_val(F_1),Xs) = hAPP_l1208602837on_val(map_Pr1729094110on_val(G),Ys) -> hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_l1593094847al_nat(size_s2086378294on_val,Ys))) # label(fact_135_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 248 (all F_1 all Xs all G all Ys (hAPP_l1634001311on_val(map_ty891785382on_val(F_1),Xs) = hAPP_l1695428693on_val(map_Pr1655409582on_val(G),Ys) -> hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_l1794950871al_nat(size_s1699857438on_val,Ys))) # label(fact_136_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 249 (all F_1 all Xs all G all Ys (hAPP_l294838950har_ty(map_va44677239har_ty(F_1),Xs) = hAPP_l1910281173har_ty(map_Pr1267419400har_ty(G),Ys) -> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_l540212137ty_nat(size_s1444510216har_ty,Ys))) # label(fact_137_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 250 (all F_1 all Xs all G all Ys (hAPP_l220561168har_ty(map_va1968335329har_ty(F_1),Xs) = hAPP_l162677262har_ty(map_Pr1471044963har_ty(G),Ys) -> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_l1526684570ty_nat(size_s1760542935har_ty,Ys))) # label(fact_138_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 251 (all F_1 all Xs all G all Ys (hAPP_l1725810570on_val(map_va1286924123on_val(F_1),Xs) = hAPP_l1790629643on_val(map_li596218076on_val(G),Ys) -> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_l49336279al_nat(size_s655688734ar_val,Ys))) # label(fact_139_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 252 (all F_1 all Xs all G all Ys (hAPP_l1426221334ar_val(map_va45294063ar_val(F_1),Xs) = hAPP_l823328606ar_val(map_li912744805ar_val(G),Ys) -> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_l23466336ty_nat(size_s764697941har_ty,Ys))) # label(fact_140_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 253 (all F_1 all Xs all G all Ys (hAPP_l1725810570on_val(map_va1286924123on_val(F_1),Xs) = hAPP_l721971010on_val(map_li1065623653on_val(G),Ys) -> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_l23466336ty_nat(size_s764697941har_ty,Ys))) # label(fact_141_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 254 (all F_1 all Xs all G all Ys (hAPP_l273806049st_val(map_val_val(F_1),Xs) = hAPP_l228474410st_val(map_option_val_val(G),Ys) -> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_l870066319al_nat(size_s1595297126on_val,Ys))) # label(fact_142_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 255 (all F_1 all Xs all G all Ys (hAPP_l761459294on_val(map_val_option_val(F_1),Xs) = hAPP_l297961988on_val(map_li50976719on_val(G),Ys) -> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys))) # label(fact_143_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 256 (all F_1 all Xs all G all Ys (hAPP_l922645359t_char(map_val_list_char(F_1),Xs) = hAPP_l407174677t_char(map_li1333403488t_char(G),Ys) -> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys))) # label(fact_144_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 257 (all F_1 all Xs all G all Ys (hAPP_l324487089st_nat(map_val_nat(F_1),Xs) = hAPP_l248265089st_nat(map_nat_nat(G),Ys) -> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_list_nat_nat(size_size_list_nat,Ys))) # label(fact_145_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 258 (all F_1 all Xs all G all Ys (hAPP_l1687586302t_char(map_va234578647t_char(F_1),Xs) = hAPP_l250787541t_char(map_Pr361633150t_char(G),Ys) -> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_l365675759ar_nat(size_s1010401542t_char,Ys))) # label(fact_146_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 259 (all F_1 all Xs all G all Ys (hAPP_l1134997550on_val(map_va787979527on_val(F_1),Xs) = hAPP_l1208602837on_val(map_Pr1729094110on_val(G),Ys) -> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_l1593094847al_nat(size_s2086378294on_val,Ys))) # label(fact_147_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 260 (all F_1 all Xs all G all Ys (hAPP_l382831894on_val(map_va527586287on_val(F_1),Xs) = hAPP_l1695428693on_val(map_Pr1655409582on_val(G),Ys) -> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_l1794950871al_nat(size_s1699857438on_val,Ys))) # label(fact_148_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 261 (all F_1 all Xs all G all Ys (hAPP_l602170375har_ty(map_ex2035595288har_ty(F_1),Xs) = hAPP_l1910281173har_ty(map_Pr1267419400har_ty(G),Ys) -> hAPP_l452123639ar_nat(size_s1143674878t_char,Xs) = hAPP_l540212137ty_nat(size_s1444510216har_ty,Ys))) # label(fact_149_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 262 (all F_1 all Xs all G all Ys (hAPP_l527892593har_ty(map_ex1811769730har_ty(F_1),Xs) = hAPP_l162677262har_ty(map_Pr1471044963har_ty(G),Ys) -> hAPP_l452123639ar_nat(size_s1143674878t_char,Xs) = hAPP_l1526684570ty_nat(size_s1760542935har_ty,Ys))) # label(fact_150_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 263 (all F_1 all Xs all G all Ys (hAPP_l1463304939on_val(map_ex1279484156on_val(F_1),Xs) = hAPP_l1790629643on_val(map_li596218076on_val(G),Ys) -> hAPP_l452123639ar_nat(size_s1143674878t_char,Xs) = hAPP_l49336279al_nat(size_s655688734ar_val,Ys))) # label(fact_151_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 264 (all F_1 all Xs all G all Ys (hAPP_l121373941ar_val(map_ex178392974ar_val(F_1),Xs) = hAPP_l823328606ar_val(map_li912744805ar_val(G),Ys) -> hAPP_l452123639ar_nat(size_s1143674878t_char,Xs) = hAPP_l23466336ty_nat(size_s764697941har_ty,Ys))) # label(fact_152_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 265 (all F_1 all Xs all G all Ys (hAPP_l1463304939on_val(map_ex1279484156on_val(F_1),Xs) = hAPP_l721971010on_val(map_li1065623653on_val(G),Ys) -> hAPP_l452123639ar_nat(size_s1143674878t_char,Xs) = hAPP_l23466336ty_nat(size_s764697941har_ty,Ys))) # label(fact_153_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 266 (all F_1 all Xs all G all Ys (hAPP_l1539861698st_val(map_ex740158547ar_val(F_1),Xs) = hAPP_l228474410st_val(map_option_val_val(G),Ys) -> hAPP_l452123639ar_nat(size_s1143674878t_char,Xs) = hAPP_l870066319al_nat(size_s1595297126on_val,Ys))) # label(fact_154_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 267 (all F_1 all Xs all G all Ys (hAPP_l1607890493on_val(map_ex1598883030on_val(F_1),Xs) = hAPP_l297961988on_val(map_li50976719on_val(G),Ys) -> hAPP_l452123639ar_nat(size_s1143674878t_char,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys))) # label(fact_155_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 268 (all F_1 all Xs all G all Ys (hAPP_l2065413838t_char(map_ex2109939687t_char(F_1),Xs) = hAPP_l407174677t_char(map_li1333403488t_char(G),Ys) -> hAPP_l452123639ar_nat(size_s1143674878t_char,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys))) # label(fact_156_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 269 (all F_1 all Xs all G all Ys (hAPP_l1496769042st_nat(map_ex1185884067ar_nat(F_1),Xs) = hAPP_l248265089st_nat(map_nat_nat(G),Ys) -> hAPP_l452123639ar_nat(size_s1143674878t_char,Xs) = hAPP_list_nat_nat(size_size_list_nat,Ys))) # label(fact_157_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 270 (all F_1 all Xs all G all Ys (hAPP_l1379210717t_char(map_ex230966390t_char(F_1),Xs) = hAPP_l250787541t_char(map_Pr361633150t_char(G),Ys) -> hAPP_l452123639ar_nat(size_s1143674878t_char,Xs) = hAPP_l365675759ar_nat(size_s1010401542t_char,Ys))) # label(fact_158_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 271 (all F_1 all Xs all G all Ys (hAPP_l1585742349on_val(map_ex2031894694on_val(F_1),Xs) = hAPP_l1208602837on_val(map_Pr1729094110on_val(G),Ys) -> hAPP_l452123639ar_nat(size_s1143674878t_char,Xs) = hAPP_l1593094847al_nat(size_s2086378294on_val,Ys))) # label(fact_159_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 272 (all F_1 all Xs all G all Ys (hAPP_l1557845365on_val(map_ex840371726on_val(F_1),Xs) = hAPP_l1695428693on_val(map_Pr1655409582on_val(G),Ys) -> hAPP_l452123639ar_nat(size_s1143674878t_char,Xs) = hAPP_l1794950871al_nat(size_s1699857438on_val,Ys))) # label(fact_160_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 273 (all F_1 all Xs all G all Ys (hAPP_l1910281173har_ty(map_Pr1267419400har_ty(F_1),Xs) = hAPP_l1336021888har_ty(map_li56668639har_ty(G),Ys) -> hAPP_l540212137ty_nat(size_s1444510216har_ty,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys))) # label(fact_161_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 274 (all F_1 all Xs all G all Ys (hAPP_l162677262har_ty(map_Pr1471044963har_ty(F_1),Xs) = hAPP_l1261744106har_ty(map_li1980326729har_ty(G),Ys) -> hAPP_l1526684570ty_nat(size_s1760542935har_ty,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys))) # label(fact_162_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 275 (all F_1 all Xs all G all Ys (hAPP_l1790629643on_val(map_li596218076on_val(F_1),Xs) = hAPP_l164125796on_val(map_li1461022915on_val(G),Ys) -> hAPP_l49336279al_nat(size_s655688734ar_val,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys))) # label(fact_163_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 276 (all F_1 all Xs all G all Ys (hAPP_l823328606ar_val(map_li912744805ar_val(F_1),Xs) = hAPP_l1975021756ar_val(map_li401377927ar_val(G),Ys) -> hAPP_l23466336ty_nat(size_s764697941har_ty,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys))) # label(fact_164_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 277 (all F_1 all Xs all G all Ys (hAPP_l721971010on_val(map_li1065623653on_val(F_1),Xs) = hAPP_l164125796on_val(map_li1461022915on_val(G),Ys) -> hAPP_l23466336ty_nat(size_s764697941har_ty,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys))) # label(fact_165_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 278 (all F_1 all Xs all G all Ys (hAPP_l297961988on_val(map_li50976719on_val(F_1),Xs) = hAPP_l297961988on_val(map_li50976719on_val(G),Ys) -> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys))) # label(fact_166_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 279 (all F_1 all Xs all G all Ys (hAPP_l407174677t_char(map_li1333403488t_char(F_1),Xs) = hAPP_l407174677t_char(map_li1333403488t_char(G),Ys) -> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys))) # label(fact_167_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 280 (all F_1 all Xs all G all Ys (hAPP_l248265089st_nat(map_nat_nat(F_1),Xs) = hAPP_l1111097995st_nat(map_list_char_nat(G),Ys) -> hAPP_list_nat_nat(size_size_list_nat,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys))) # label(fact_168_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 281 (all F_1 all Xs all G all Ys (hAPP_l250787541t_char(map_Pr361633150t_char(F_1),Xs) = hAPP_l1416713636t_char(map_li239070063t_char(G),Ys) -> hAPP_l365675759ar_nat(size_s1010401542t_char,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys))) # label(fact_169_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 282 (all F_1 all Xs all G all Ys (hAPP_l1208602837on_val(map_Pr1729094110on_val(F_1),Xs) = hAPP_l2122855380on_val(map_li1925379487on_val(G),Ys) -> hAPP_l1593094847al_nat(size_s2086378294on_val,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys))) # label(fact_170_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 283 (all F_1 all Xs all G all Ys (hAPP_l1695428693on_val(map_Pr1655409582on_val(F_1),Xs) = hAPP_l418486716on_val(map_li1100402823on_val(G),Ys) -> hAPP_l1794950871al_nat(size_s1699857438on_val,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys))) # label(fact_171_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 284 (all F_1 all Xs all G all Ys (hAPP_l1910281173har_ty(map_Pr1267419400har_ty(F_1),Xs) = hAPP_l573877853har_ty(map_ty1735732096har_ty(G),Ys) -> hAPP_l540212137ty_nat(size_s1444510216har_ty,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys))) # label(fact_172_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 285 (all F_1 all Xs all G all Ys (hAPP_l162677262har_ty(map_Pr1471044963har_ty(F_1),Xs) = hAPP_l499600071har_ty(map_ty1511906538har_ty(G),Ys) -> hAPP_l1526684570ty_nat(size_s1760542935har_ty,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys))) # label(fact_173_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 286 (all F_1 all Xs all G all Ys (hAPP_l1790629643on_val(map_li596218076on_val(F_1),Xs) = hAPP_l642124097on_val(map_ty330392676on_val(G),Ys) -> hAPP_l49336279al_nat(size_s655688734ar_val,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys))) # label(fact_174_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 287 (all F_1 all Xs all G all Ys (hAPP_l823328606ar_val(map_li912744805ar_val(F_1),Xs) = hAPP_l654786079ar_val(map_ty217218598ar_val(G),Ys) -> hAPP_l23466336ty_nat(size_s764697941har_ty,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys))) # label(fact_175_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 288 (all F_1 all Xs all G all Ys (hAPP_l721971010on_val(map_li1065623653on_val(F_1),Xs) = hAPP_l642124097on_val(map_ty330392676on_val(G),Ys) -> hAPP_l23466336ty_nat(size_s764697941har_ty,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys))) # label(fact_176_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 289 (all F_1 all Xs all G all Ys (hAPP_l228474410st_val(map_option_val_val(F_1),Xs) = hAPP_l1530663448st_val(map_ty_val(G),Ys) -> hAPP_l870066319al_nat(size_s1595297126on_val,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys))) # label(fact_177_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 290 (all F_1 all Xs all G all Ys (hAPP_l297961988on_val(map_li50976719on_val(F_1),Xs) = hAPP_l1014734695on_val(map_ty_option_val(G),Ys) -> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys))) # label(fact_178_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 291 (all F_1 all Xs all G all Ys (hAPP_l407174677t_char(map_li1333403488t_char(F_1),Xs) = hAPP_l402740472t_char(map_ty_list_char(G),Ys) -> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys))) # label(fact_179_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 292 (all F_1 all Xs all G all Ys (hAPP_l248265089st_nat(map_nat_nat(F_1),Xs) = hAPP_l277434984st_nat(map_ty_nat(G),Ys) -> hAPP_list_nat_nat(size_size_list_nat,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys))) # label(fact_180_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 293 (all F_1 all Xs all G all Ys (hAPP_l250787541t_char(map_Pr361633150t_char(F_1),Xs) = hAPP_l1218266887t_char(map_ty1751634702t_char(G),Ys) -> hAPP_l365675759ar_nat(size_s1010401542t_char,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys))) # label(fact_181_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 294 (all F_1 all Xs all G all Ys (hAPP_l1208602837on_val(map_Pr1729094110on_val(F_1),Xs) = hAPP_l2092195639on_val(map_ty1597677374on_val(G),Ys) -> hAPP_l1593094847al_nat(size_s2086378294on_val,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys))) # label(fact_182_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 295 (all F_1 all Xs all G all Ys (hAPP_l1695428693on_val(map_Pr1655409582on_val(F_1),Xs) = hAPP_l1634001311on_val(map_ty891785382on_val(G),Ys) -> hAPP_l1794950871al_nat(size_s1699857438on_val,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys))) # label(fact_183_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 296 (all F_1 all Xs all G all Ys (hAPP_l1910281173har_ty(map_Pr1267419400har_ty(F_1),Xs) = hAPP_l294838950har_ty(map_va44677239har_ty(G),Ys) -> hAPP_l540212137ty_nat(size_s1444510216har_ty,Xs) = hAPP_list_val_nat(size_size_list_val,Ys))) # label(fact_184_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 297 (all F_1 all Xs all G all Ys (hAPP_l162677262har_ty(map_Pr1471044963har_ty(F_1),Xs) = hAPP_l220561168har_ty(map_va1968335329har_ty(G),Ys) -> hAPP_l1526684570ty_nat(size_s1760542935har_ty,Xs) = hAPP_list_val_nat(size_size_list_val,Ys))) # label(fact_185_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 298 (all F_1 all Xs all G all Ys (hAPP_l1790629643on_val(map_li596218076on_val(F_1),Xs) = hAPP_l1725810570on_val(map_va1286924123on_val(G),Ys) -> hAPP_l49336279al_nat(size_s655688734ar_val,Xs) = hAPP_list_val_nat(size_size_list_val,Ys))) # label(fact_186_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 299 (all F_1 all Xs all G all Ys (hAPP_l823328606ar_val(map_li912744805ar_val(F_1),Xs) = hAPP_l1426221334ar_val(map_va45294063ar_val(G),Ys) -> hAPP_l23466336ty_nat(size_s764697941har_ty,Xs) = hAPP_list_val_nat(size_size_list_val,Ys))) # label(fact_187_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 300 (all F_1 all Xs all G all Ys (hAPP_l721971010on_val(map_li1065623653on_val(F_1),Xs) = hAPP_l1725810570on_val(map_va1286924123on_val(G),Ys) -> hAPP_l23466336ty_nat(size_s764697941har_ty,Xs) = hAPP_list_val_nat(size_size_list_val,Ys))) # label(fact_188_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 301 (all F_1 all Xs all G all Ys (hAPP_l228474410st_val(map_option_val_val(F_1),Xs) = hAPP_l273806049st_val(map_val_val(G),Ys) -> hAPP_l870066319al_nat(size_s1595297126on_val,Xs) = hAPP_list_val_nat(size_size_list_val,Ys))) # label(fact_189_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 302 (all F_1 all Xs all G all Ys (hAPP_l297961988on_val(map_li50976719on_val(F_1),Xs) = hAPP_l761459294on_val(map_val_option_val(G),Ys) -> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_list_val_nat(size_size_list_val,Ys))) # label(fact_190_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 303 (all F_1 all Xs all G all Ys (hAPP_l407174677t_char(map_li1333403488t_char(F_1),Xs) = hAPP_l922645359t_char(map_val_list_char(G),Ys) -> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_list_val_nat(size_size_list_val,Ys))) # label(fact_191_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 304 (all F_1 all Xs all G all Ys (hAPP_l248265089st_nat(map_nat_nat(F_1),Xs) = hAPP_l324487089st_nat(map_val_nat(G),Ys) -> hAPP_list_nat_nat(size_size_list_nat,Xs) = hAPP_list_val_nat(size_size_list_val,Ys))) # label(fact_192_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 305 (all F_1 all Xs all G all Ys (hAPP_l250787541t_char(map_Pr361633150t_char(F_1),Xs) = hAPP_l1687586302t_char(map_va234578647t_char(G),Ys) -> hAPP_l365675759ar_nat(size_s1010401542t_char,Xs) = hAPP_list_val_nat(size_size_list_val,Ys))) # label(fact_193_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 306 (all F_1 all Xs all G all Ys (hAPP_l1208602837on_val(map_Pr1729094110on_val(F_1),Xs) = hAPP_l1134997550on_val(map_va787979527on_val(G),Ys) -> hAPP_l1593094847al_nat(size_s2086378294on_val,Xs) = hAPP_list_val_nat(size_size_list_val,Ys))) # label(fact_194_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 307 (all F_1 all Xs all G all Ys (hAPP_l1695428693on_val(map_Pr1655409582on_val(F_1),Xs) = hAPP_l382831894on_val(map_va527586287on_val(G),Ys) -> hAPP_l1794950871al_nat(size_s1699857438on_val,Xs) = hAPP_list_val_nat(size_size_list_val,Ys))) # label(fact_195_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 308 (all F_1 all Xs all G all Ys (hAPP_l1910281173har_ty(map_Pr1267419400har_ty(F_1),Xs) = hAPP_l602170375har_ty(map_ex2035595288har_ty(G),Ys) -> hAPP_l540212137ty_nat(size_s1444510216har_ty,Xs) = hAPP_l452123639ar_nat(size_s1143674878t_char,Ys))) # label(fact_196_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 309 (all F_1 all Xs all G all Ys (hAPP_l162677262har_ty(map_Pr1471044963har_ty(F_1),Xs) = hAPP_l527892593har_ty(map_ex1811769730har_ty(G),Ys) -> hAPP_l1526684570ty_nat(size_s1760542935har_ty,Xs) = hAPP_l452123639ar_nat(size_s1143674878t_char,Ys))) # label(fact_197_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 310 (all F_1 all Xs all G all Ys (hAPP_l1790629643on_val(map_li596218076on_val(F_1),Xs) = hAPP_l1463304939on_val(map_ex1279484156on_val(G),Ys) -> hAPP_l49336279al_nat(size_s655688734ar_val,Xs) = hAPP_l452123639ar_nat(size_s1143674878t_char,Ys))) # label(fact_198_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 311 (all F_1 all Xs all G all Ys (hAPP_l823328606ar_val(map_li912744805ar_val(F_1),Xs) = hAPP_l121373941ar_val(map_ex178392974ar_val(G),Ys) -> hAPP_l23466336ty_nat(size_s764697941har_ty,Xs) = hAPP_l452123639ar_nat(size_s1143674878t_char,Ys))) # label(fact_199_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 312 (all F_1 all Xs all G all Ys (hAPP_l721971010on_val(map_li1065623653on_val(F_1),Xs) = hAPP_l1463304939on_val(map_ex1279484156on_val(G),Ys) -> hAPP_l23466336ty_nat(size_s764697941har_ty,Xs) = hAPP_l452123639ar_nat(size_s1143674878t_char,Ys))) # label(fact_200_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 313 (all F_1 all Xs all G all Ys (hAPP_l228474410st_val(map_option_val_val(F_1),Xs) = hAPP_l1539861698st_val(map_ex740158547ar_val(G),Ys) -> hAPP_l870066319al_nat(size_s1595297126on_val,Xs) = hAPP_l452123639ar_nat(size_s1143674878t_char,Ys))) # label(fact_201_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 314 (all F_1 all Xs all G all Ys (hAPP_l297961988on_val(map_li50976719on_val(F_1),Xs) = hAPP_l1607890493on_val(map_ex1598883030on_val(G),Ys) -> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_l452123639ar_nat(size_s1143674878t_char,Ys))) # label(fact_202_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 315 (all F_1 all Xs all G all Ys (hAPP_l407174677t_char(map_li1333403488t_char(F_1),Xs) = hAPP_l2065413838t_char(map_ex2109939687t_char(G),Ys) -> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_l452123639ar_nat(size_s1143674878t_char,Ys))) # label(fact_203_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 316 (all F_1 all Xs all G all Ys (hAPP_l248265089st_nat(map_nat_nat(F_1),Xs) = hAPP_l1496769042st_nat(map_ex1185884067ar_nat(G),Ys) -> hAPP_list_nat_nat(size_size_list_nat,Xs) = hAPP_l452123639ar_nat(size_s1143674878t_char,Ys))) # label(fact_204_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 317 (all F_1 all Xs all G all Ys (hAPP_l250787541t_char(map_Pr361633150t_char(F_1),Xs) = hAPP_l1379210717t_char(map_ex230966390t_char(G),Ys) -> hAPP_l365675759ar_nat(size_s1010401542t_char,Xs) = hAPP_l452123639ar_nat(size_s1143674878t_char,Ys))) # label(fact_205_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 318 (all F_1 all Xs all G all Ys (hAPP_l1208602837on_val(map_Pr1729094110on_val(F_1),Xs) = hAPP_l1585742349on_val(map_ex2031894694on_val(G),Ys) -> hAPP_l1593094847al_nat(size_s2086378294on_val,Xs) = hAPP_l452123639ar_nat(size_s1143674878t_char,Ys))) # label(fact_206_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 319 (all F_1 all Xs all G all Ys (hAPP_l1695428693on_val(map_Pr1655409582on_val(F_1),Xs) = hAPP_l1557845365on_val(map_ex840371726on_val(G),Ys) -> hAPP_l1794950871al_nat(size_s1699857438on_val,Xs) = hAPP_l452123639ar_nat(size_s1143674878t_char,Ys))) # label(fact_207_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 320 (all F_1 all Xs all G all Ys (hAPP_l2006940821ion_ty(map_val_option_ty(F_1),Xs) = hAPP_l601126435ion_ty(map_Pr1420995486ion_ty(G),Ys) -> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_l1766199206al_nat(size_s470606735on_val,Ys))) # label(fact_208_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 321 (all F_1 all Xs all G all Ys (hAPP_l2006940821ion_ty(map_val_option_ty(F_1),Xs) = hAPP_l1328999414ion_ty(map_Pr590903501ion_ty(G),Ys) -> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_l1746926841al_nat(size_s60479160on_val,Ys))) # label(fact_209_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 322 (all F_1 all Xs all G all Ys (hAPP_l2006940821ion_ty(map_val_option_ty(F_1),Xs) = hAPP_l863887876ion_ty(map_char_option_ty(G),Ys) -> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_list_char_nat(size_size_list_char,Ys))) # label(fact_210_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 323 (all F_1 all Xs all G all Ys (hAPP_l2006940821ion_ty(map_val_option_ty(F_1),Xs) = hAPP_l1716957862ion_ty(map_Pr1783250717ion_ty(G),Ys) -> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_l540212137ty_nat(size_s1444510216har_ty,Ys))) # label(fact_211_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 324 (all F_1 all Xs all G all Ys (hAPP_l2006940821ion_ty(map_val_option_ty(F_1),Xs) = hAPP_l827505693ion_ty(map_Pr1247945830ion_ty(G),Ys) -> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_l1280603808al_nat(size_s760178257ar_val,Ys))) # label(fact_212_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 325 (all F_1 all Xs all G all Ys (hAPP_l2006940821ion_ty(map_val_option_ty(F_1),Xs) = hAPP_l305548949ion_ty(map_op1363057580ion_ty(G),Ys) -> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_l289305880ty_nat(size_s1050794909ion_ty,Ys))) # label(fact_213_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 326 (all F_1 all Xs all G all Ys (hAPP_l1487035934ion_ty(map_ty_option_ty(F_1),Xs) = hAPP_l601126435ion_ty(map_Pr1420995486ion_ty(G),Ys) -> hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_l1766199206al_nat(size_s470606735on_val,Ys))) # label(fact_214_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 327 (all F_1 all Xs all G all Ys (hAPP_l1487035934ion_ty(map_ty_option_ty(F_1),Xs) = hAPP_l1328999414ion_ty(map_Pr590903501ion_ty(G),Ys) -> hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_l1746926841al_nat(size_s60479160on_val,Ys))) # label(fact_215_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 328 (all F_1 all Xs all G all Ys (hAPP_l1487035934ion_ty(map_ty_option_ty(F_1),Xs) = hAPP_l863887876ion_ty(map_char_option_ty(G),Ys) -> hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_list_char_nat(size_size_list_char,Ys))) # label(fact_216_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 329 (all F_1 all Xs all G all Ys (hAPP_l1487035934ion_ty(map_ty_option_ty(F_1),Xs) = hAPP_l1716957862ion_ty(map_Pr1783250717ion_ty(G),Ys) -> hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_l540212137ty_nat(size_s1444510216har_ty,Ys))) # label(fact_217_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 330 (all F_1 all Xs all G all Ys (hAPP_l1487035934ion_ty(map_ty_option_ty(F_1),Xs) = hAPP_l827505693ion_ty(map_Pr1247945830ion_ty(G),Ys) -> hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_l1280603808al_nat(size_s760178257ar_val,Ys))) # label(fact_218_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 331 (all F_1 all Xs all G all Ys (hAPP_l1487035934ion_ty(map_ty_option_ty(F_1),Xs) = hAPP_l305548949ion_ty(map_op1363057580ion_ty(G),Ys) -> hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_l289305880ty_nat(size_s1050794909ion_ty,Ys))) # label(fact_219_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 332 (all F_1 all Xs all G all Ys (hAPP_l732421366t_char(map_va1934808527t_char(F_1),Xs) = hAPP_l1683732356t_char(map_Pr1211171455t_char(G),Ys) -> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_l1766199206al_nat(size_s470606735on_val,Ys))) # label(fact_220_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 333 (all F_1 all Xs all G all Ys (hAPP_l732421366t_char(map_va1934808527t_char(F_1),Xs) = hAPP_l2043127767t_char(map_Pr161410094t_char(G),Ys) -> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_l1746926841al_nat(size_s60479160on_val,Ys))) # label(fact_221_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 334 (all F_1 all Xs all G all Ys (hAPP_l732421366t_char(map_va1934808527t_char(F_1),Xs) = hAPP_l925187813t_char(map_ch278031520t_char(G),Ys) -> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_list_char_nat(size_size_list_char,Ys))) # label(fact_222_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 335 (all F_1 all Xs all G all Ys (hAPP_l732421366t_char(map_va1934808527t_char(F_1),Xs) = hAPP_l2038191751t_char(map_Pr863062654t_char(G),Ys) -> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_l540212137ty_nat(size_s1444510216har_ty,Ys))) # label(fact_223_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 336 (all F_1 all Xs all G all Ys (hAPP_l732421366t_char(map_va1934808527t_char(F_1),Xs) = hAPP_l347191422t_char(map_Pr187266887t_char(G),Ys) -> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_l1280603808al_nat(size_s760178257ar_val,Ys))) # label(fact_224_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 337 (all F_1 all Xs all G all Ys (hAPP_l732421366t_char(map_va1934808527t_char(F_1),Xs) = hAPP_l330149622t_char(map_op1779340173t_char(G),Ys) -> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_l289305880ty_nat(size_s1050794909ion_ty,Ys))) # label(fact_225_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 338 (all F_1 all Xs all G all Ys (hAPP_l1892737211st_val(map_list_char_val(F_1),Xs) = hAPP_l228474410st_val(map_option_val_val(G),Ys) -> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_l870066319al_nat(size_s1595297126on_val,Ys))) # label(fact_226_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 339 (all F_1 all Xs all G all Ys (hAPP_l1892737211st_val(map_list_char_val(F_1),Xs) = hAPP_l1342091219st_val(map_Pr1583805314al_val(G),Ys) -> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_l1766199206al_nat(size_s470606735on_val,Ys))) # label(fact_227_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 340 (all F_1 all Xs all G all Ys (hAPP_l1892737211st_val(map_list_char_val(F_1),Xs) = hAPP_l1023956544st_val(map_Pr1730568083al_val(G),Ys) -> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_l1746926841al_nat(size_s60479160on_val,Ys))) # label(fact_228_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 341 (all F_1 all Xs all G all Ys (hAPP_l1892737211st_val(map_list_char_val(F_1),Xs) = hAPP_l473790130st_val(map_char_val(G),Ys) -> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_list_char_nat(size_size_list_char,Ys))) # label(fact_229_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 342 (all F_1 all Xs all G all Ys (hAPP_l1892737211st_val(map_list_char_val(F_1),Xs) = hAPP_l1473803152st_val(map_Pr961574211ty_val(G),Ys) -> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_l540212137ty_nat(size_s1444510216har_ty,Ys))) # label(fact_230_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 343 (all F_1 all Xs all G all Ys (hAPP_l1892737211st_val(map_list_char_val(F_1),Xs) = hAPP_l1523427673st_val(map_Pr1022222522al_val(G),Ys) -> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_l1280603808al_nat(size_s760178257ar_val,Ys))) # label(fact_231_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 344 (all F_1 all Xs all G all Ys (hAPP_l1892737211st_val(map_list_char_val(F_1),Xs) = hAPP_l336371937st_val(map_option_ty_val(G),Ys) -> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_l289305880ty_nat(size_s1050794909ion_ty,Ys))) # label(fact_232_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 345 (all F_1 all Xs all G all Ys (hAPP_l608137480ar_val(map_Pr1153581243ar_val(F_1),Xs) = hAPP_l102711883ar_val(map_Pr1591425018ar_val(G),Ys) -> hAPP_l540212137ty_nat(size_s1444510216har_ty,Xs) = hAPP_l1766199206al_nat(size_s470606735on_val,Ys))) # label(fact_233_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 346 (all F_1 all Xs all G all Ys (hAPP_l608137480ar_val(map_Pr1153581243ar_val(F_1),Xs) = hAPP_l2147361720ar_val(map_Pr618945291ar_val(G),Ys) -> hAPP_l540212137ty_nat(size_s1444510216har_ty,Xs) = hAPP_l1746926841al_nat(size_s60479160on_val,Ys))) # label(fact_234_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 347 (all F_1 all Xs all G all Ys (hAPP_l608137480ar_val(map_Pr1153581243ar_val(F_1),Xs) = hAPP_l606396970ar_val(map_ch1589830937ar_val(G),Ys) -> hAPP_l540212137ty_nat(size_s1444510216har_ty,Xs) = hAPP_list_char_nat(size_size_list_char,Ys))) # label(fact_235_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 348 (all F_1 all Xs all G all Ys (hAPP_l608137480ar_val(map_Pr1153581243ar_val(F_1),Xs) = hAPP_l1462265297ar_val(map_Pr879013170ar_val(G),Ys) -> hAPP_l540212137ty_nat(size_s1444510216har_ty,Xs) = hAPP_l1280603808al_nat(size_s760178257ar_val,Ys))) # label(fact_236_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 349 (all F_1 all Xs all G all Ys (hAPP_l608137480ar_val(map_Pr1153581243ar_val(F_1),Xs) = hAPP_l278271321ar_val(map_op1852210284ar_val(G),Ys) -> hAPP_l540212137ty_nat(size_s1444510216har_ty,Xs) = hAPP_l289305880ty_nat(size_s1050794909ion_ty,Ys))) # label(fact_237_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 350 (all F_1 all Xs all G all Ys (hAPP_l601126435ion_ty(map_Pr1420995486ion_ty(F_1),Xs) = hAPP_l2006940821ion_ty(map_val_option_ty(G),Ys) -> hAPP_l1766199206al_nat(size_s470606735on_val,Xs) = hAPP_list_val_nat(size_size_list_val,Ys))) # label(fact_238_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 351 (all F_1 all Xs all G all Ys (hAPP_l1328999414ion_ty(map_Pr590903501ion_ty(F_1),Xs) = hAPP_l2006940821ion_ty(map_val_option_ty(G),Ys) -> hAPP_l1746926841al_nat(size_s60479160on_val,Xs) = hAPP_list_val_nat(size_size_list_val,Ys))) # label(fact_239_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 352 (all F_1 all Xs all G all Ys (hAPP_l863887876ion_ty(map_char_option_ty(F_1),Xs) = hAPP_l2006940821ion_ty(map_val_option_ty(G),Ys) -> hAPP_list_char_nat(size_size_list_char,Xs) = hAPP_list_val_nat(size_size_list_val,Ys))) # label(fact_240_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 353 (all F_1 all Xs all G all Ys (hAPP_l1716957862ion_ty(map_Pr1783250717ion_ty(F_1),Xs) = hAPP_l2006940821ion_ty(map_val_option_ty(G),Ys) -> hAPP_l540212137ty_nat(size_s1444510216har_ty,Xs) = hAPP_list_val_nat(size_size_list_val,Ys))) # label(fact_241_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 354 (all F_1 all Xs all G all Ys (hAPP_l827505693ion_ty(map_Pr1247945830ion_ty(F_1),Xs) = hAPP_l2006940821ion_ty(map_val_option_ty(G),Ys) -> hAPP_l1280603808al_nat(size_s760178257ar_val,Xs) = hAPP_list_val_nat(size_size_list_val,Ys))) # label(fact_242_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 355 (all F_1 all Xs all G all Ys (hAPP_l305548949ion_ty(map_op1363057580ion_ty(F_1),Xs) = hAPP_l2006940821ion_ty(map_val_option_ty(G),Ys) -> hAPP_l289305880ty_nat(size_s1050794909ion_ty,Xs) = hAPP_list_val_nat(size_size_list_val,Ys))) # label(fact_243_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 356 (all F_1 all Xs all G all Ys (hAPP_l601126435ion_ty(map_Pr1420995486ion_ty(F_1),Xs) = hAPP_l1487035934ion_ty(map_ty_option_ty(G),Ys) -> hAPP_l1766199206al_nat(size_s470606735on_val,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys))) # label(fact_244_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 357 (all F_1 all Xs all G all Ys (hAPP_l1328999414ion_ty(map_Pr590903501ion_ty(F_1),Xs) = hAPP_l1487035934ion_ty(map_ty_option_ty(G),Ys) -> hAPP_l1746926841al_nat(size_s60479160on_val,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys))) # label(fact_245_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 358 (all F_1 all Xs all G all Ys (hAPP_l863887876ion_ty(map_char_option_ty(F_1),Xs) = hAPP_l1487035934ion_ty(map_ty_option_ty(G),Ys) -> hAPP_list_char_nat(size_size_list_char,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys))) # label(fact_246_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 359 (all F_1 all Xs all G all Ys (hAPP_l1716957862ion_ty(map_Pr1783250717ion_ty(F_1),Xs) = hAPP_l1487035934ion_ty(map_ty_option_ty(G),Ys) -> hAPP_l540212137ty_nat(size_s1444510216har_ty,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys))) # label(fact_247_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 360 (all F_1 all Xs all G all Ys (hAPP_l827505693ion_ty(map_Pr1247945830ion_ty(F_1),Xs) = hAPP_l1487035934ion_ty(map_ty_option_ty(G),Ys) -> hAPP_l1280603808al_nat(size_s760178257ar_val,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys))) # label(fact_248_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 361 (all F_1 all Xs all G all Ys (hAPP_l305548949ion_ty(map_op1363057580ion_ty(F_1),Xs) = hAPP_l1487035934ion_ty(map_ty_option_ty(G),Ys) -> hAPP_l289305880ty_nat(size_s1050794909ion_ty,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys))) # label(fact_249_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 362 (all F_1 all Xs all G all Ys (hAPP_l1683732356t_char(map_Pr1211171455t_char(F_1),Xs) = hAPP_l732421366t_char(map_va1934808527t_char(G),Ys) -> hAPP_l1766199206al_nat(size_s470606735on_val,Xs) = hAPP_list_val_nat(size_size_list_val,Ys))) # label(fact_250_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 363 (all F_1 all Xs all G all Ys (hAPP_l2043127767t_char(map_Pr161410094t_char(F_1),Xs) = hAPP_l732421366t_char(map_va1934808527t_char(G),Ys) -> hAPP_l1746926841al_nat(size_s60479160on_val,Xs) = hAPP_list_val_nat(size_size_list_val,Ys))) # label(fact_251_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 364 (all F_1 all Xs all G all Ys (hAPP_l925187813t_char(map_ch278031520t_char(F_1),Xs) = hAPP_l732421366t_char(map_va1934808527t_char(G),Ys) -> hAPP_list_char_nat(size_size_list_char,Xs) = hAPP_list_val_nat(size_size_list_val,Ys))) # label(fact_252_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 365 (all F_1 all Xs all G all Ys (hAPP_l2038191751t_char(map_Pr863062654t_char(F_1),Xs) = hAPP_l732421366t_char(map_va1934808527t_char(G),Ys) -> hAPP_l540212137ty_nat(size_s1444510216har_ty,Xs) = hAPP_list_val_nat(size_size_list_val,Ys))) # label(fact_253_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 366 (all F_1 all Xs all G all Ys (hAPP_l347191422t_char(map_Pr187266887t_char(F_1),Xs) = hAPP_l732421366t_char(map_va1934808527t_char(G),Ys) -> hAPP_l1280603808al_nat(size_s760178257ar_val,Xs) = hAPP_list_val_nat(size_size_list_val,Ys))) # label(fact_254_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 367 (all F_1 all Xs all G all Ys (hAPP_l330149622t_char(map_op1779340173t_char(F_1),Xs) = hAPP_l732421366t_char(map_va1934808527t_char(G),Ys) -> hAPP_l289305880ty_nat(size_s1050794909ion_ty,Xs) = hAPP_list_val_nat(size_size_list_val,Ys))) # label(fact_255_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 368 (all F_1 all Xs all G all Ys (hAPP_l228474410st_val(map_option_val_val(F_1),Xs) = hAPP_l1892737211st_val(map_list_char_val(G),Ys) -> hAPP_l870066319al_nat(size_s1595297126on_val,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys))) # label(fact_256_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 369 (all F_1 all Xs all G all Ys (hAPP_l1342091219st_val(map_Pr1583805314al_val(F_1),Xs) = hAPP_l1892737211st_val(map_list_char_val(G),Ys) -> hAPP_l1766199206al_nat(size_s470606735on_val,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys))) # label(fact_257_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 370 (all F_1 all Xs all G all Ys (hAPP_l1023956544st_val(map_Pr1730568083al_val(F_1),Xs) = hAPP_l1892737211st_val(map_list_char_val(G),Ys) -> hAPP_l1746926841al_nat(size_s60479160on_val,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys))) # label(fact_258_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 371 (all F_1 all Xs all G all Ys (hAPP_l473790130st_val(map_char_val(F_1),Xs) = hAPP_l1892737211st_val(map_list_char_val(G),Ys) -> hAPP_list_char_nat(size_size_list_char,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys))) # label(fact_259_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 372 (all F_1 all Xs all G all Ys (hAPP_l1473803152st_val(map_Pr961574211ty_val(F_1),Xs) = hAPP_l1892737211st_val(map_list_char_val(G),Ys) -> hAPP_l540212137ty_nat(size_s1444510216har_ty,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys))) # label(fact_260_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 373 (all F_1 all Xs all G all Ys (hAPP_l1523427673st_val(map_Pr1022222522al_val(F_1),Xs) = hAPP_l1892737211st_val(map_list_char_val(G),Ys) -> hAPP_l1280603808al_nat(size_s760178257ar_val,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys))) # label(fact_261_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 374 (all F_1 all Xs all G all Ys (hAPP_l336371937st_val(map_option_ty_val(F_1),Xs) = hAPP_l1892737211st_val(map_list_char_val(G),Ys) -> hAPP_l289305880ty_nat(size_s1050794909ion_ty,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys))) # label(fact_262_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 375 (all F_1 all Xs all G all Ys (hAPP_l102711883ar_val(map_Pr1591425018ar_val(F_1),Xs) = hAPP_l608137480ar_val(map_Pr1153581243ar_val(G),Ys) -> hAPP_l1766199206al_nat(size_s470606735on_val,Xs) = hAPP_l540212137ty_nat(size_s1444510216har_ty,Ys))) # label(fact_263_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 376 (all F_1 all Xs all G all Ys (hAPP_l2147361720ar_val(map_Pr618945291ar_val(F_1),Xs) = hAPP_l608137480ar_val(map_Pr1153581243ar_val(G),Ys) -> hAPP_l1746926841al_nat(size_s60479160on_val,Xs) = hAPP_l540212137ty_nat(size_s1444510216har_ty,Ys))) # label(fact_264_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 377 (all F_1 all Xs all G all Ys (hAPP_l606396970ar_val(map_ch1589830937ar_val(F_1),Xs) = hAPP_l608137480ar_val(map_Pr1153581243ar_val(G),Ys) -> hAPP_list_char_nat(size_size_list_char,Xs) = hAPP_l540212137ty_nat(size_s1444510216har_ty,Ys))) # label(fact_265_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 378 (all F_1 all Xs all G all Ys (hAPP_l608137480ar_val(map_Pr1153581243ar_val(F_1),Xs) = hAPP_l608137480ar_val(map_Pr1153581243ar_val(G),Ys) -> hAPP_l540212137ty_nat(size_s1444510216har_ty,Xs) = hAPP_l540212137ty_nat(size_s1444510216har_ty,Ys))) # label(fact_266_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 379 (all F_1 all Xs all G all Ys (hAPP_l1462265297ar_val(map_Pr879013170ar_val(F_1),Xs) = hAPP_l608137480ar_val(map_Pr1153581243ar_val(G),Ys) -> hAPP_l1280603808al_nat(size_s760178257ar_val,Xs) = hAPP_l540212137ty_nat(size_s1444510216har_ty,Ys))) # label(fact_267_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 380 (all F_1 all Xs all G all Ys (hAPP_l278271321ar_val(map_op1852210284ar_val(F_1),Xs) = hAPP_l608137480ar_val(map_Pr1153581243ar_val(G),Ys) -> hAPP_l289305880ty_nat(size_s1050794909ion_ty,Xs) = hAPP_l540212137ty_nat(size_s1444510216har_ty,Ys))) # label(fact_268_map__eq__imp__length__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 381 (all X_2 all Pa ((all A_2 all B_1 all C_4 all D_2 all E_7 hBOOL(hAPP_P824029447r_bool(Pa,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_2),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,B_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,C_4),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,D_2),E_7))))))) -> hBOOL(hAPP_P824029447r_bool(Pa,X_2)))) # label(fact_269_prod__induct5) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 382 (all X_2 all Pa ((all A_2 all B_1 all C_4 all D_2 all E_7 hBOOL(hAPP_P2028072621l_bool(Pa,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_2),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B_1),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,C_4),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,D_2),E_7))))))) -> hBOOL(hAPP_P2028072621l_bool(Pa,X_2)))) # label(fact_270_prod__induct5) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 383 (all X_2 all Pa ((all A_2 all B_1 all C_4 all D_2 all E_7 hBOOL(hAPP_P378063101l_bool(Pa,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_2),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B_1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,C_4),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,D_2),E_7))))))) -> hBOOL(hAPP_P378063101l_bool(Pa,X_2)))) # label(fact_271_prod__induct5) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 384 (all Y_6 -(all A_2 all B_1 all C_4 all D_2 all E_7 Y_6 != hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_2),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,B_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,C_4),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,D_2),E_7)))))) # label(fact_272_prod__cases5) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 385 (all Y_1 -(all A_2 all B_1 all C_4 all D_2 all E_7 Y_1 != hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_2),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B_1),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,C_4),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,D_2),E_7)))))) # label(fact_273_prod__cases5) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 386 (all Y_1 -(all A_2 all B_1 all C_4 all D_2 all E_7 Y_1 != hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_2),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B_1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,C_4),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,D_2),E_7)))))) # label(fact_274_prod__cases5) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 387 (all X_2 all Pa ((all A_2 all B_1 all C_4 all D_2 hBOOL(hAPP_P92196306r_bool(Pa,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_2),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,C_4),D_2)))))) -> hBOOL(hAPP_P92196306r_bool(Pa,X_2)))) # label(fact_275_prod__induct4) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 388 (all X_2 all Pa ((all A_2 all B_1 all C_4 all D_2 hBOOL(hAPP_P282169671l_bool(Pa,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_2),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,C_4),D_2)))))) -> hBOOL(hAPP_P282169671l_bool(Pa,X_2)))) # label(fact_276_prod__induct4) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 389 (all X_2 all Pa ((all A_2 all B_1 all C_4 all D_2 hBOOL(hAPP_P1333315679l_bool(Pa,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_2),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,B_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,C_4),D_2)))))) -> hBOOL(hAPP_P1333315679l_bool(Pa,X_2)))) # label(fact_277_prod__induct4) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 390 (all X_2 all Pa ((all A_2 all B_1 all C_4 all D_2 hBOOL(hAPP_P824029447r_bool(Pa,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_2),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,B_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,C_4),D_2)))))) -> hBOOL(hAPP_P824029447r_bool(Pa,X_2)))) # label(fact_278_prod__induct4) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 391 (all X_2 all Pa ((all A_2 all B_1 all C_4 all D_2 hBOOL(hAPP_P1240100515r_bool(Pa,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_2),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,C_4),D_2)))))) -> hBOOL(hAPP_P1240100515r_bool(Pa,X_2)))) # label(fact_279_prod__induct4) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 392 (all X_2 all Pa ((all A_2 all B_1 all C_4 all D_2 hBOOL(hAPP_P378063101l_bool(Pa,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_2),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B_1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,C_4),D_2)))))) -> hBOOL(hAPP_P378063101l_bool(Pa,X_2)))) # label(fact_280_prod__induct4) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 393 (all X_2 all Pa ((all A_2 all B_1 all C_4 all D_2 hBOOL(hAPP_P2028072621l_bool(Pa,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_2),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B_1),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,C_4),D_2)))))) -> hBOOL(hAPP_P2028072621l_bool(Pa,X_2)))) # label(fact_281_prod__induct4) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 394 (all X_2 all Pa ((all A_2 all B_1 all C_4 all D_2 (is_bop(B_1) -> hBOOL(hAPP_P738987199l_bool(Pa,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_2),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,B_1),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,C_4),D_2))))))) -> hBOOL(hAPP_P738987199l_bool(Pa,X_2)))) # label(fact_282_prod__induct4) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 395 (all Y_5 -(all A_2 all B_1 all C_4 all D_2 Y_5 != hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_2),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,C_4),D_2))))) # label(fact_283_prod__cases4) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 396 (all Y_1 -(all A_2 all B_1 all C_4 all D_2 Y_1 != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_2),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,C_4),D_2))))) # label(fact_284_prod__cases4) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 397 (all Y_1 -(all A_2 all B_1 all C_4 all D_2 Y_1 != hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_2),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,B_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,C_4),D_2))))) # label(fact_285_prod__cases4) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 398 (all Y_5 -(all A_2 all B_1 all C_4 all D_2 Y_5 != hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_2),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,B_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,C_4),D_2))))) # label(fact_286_prod__cases4) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 399 (all Y_5 -(all A_2 all B_1 all C_4 all D_2 Y_5 != hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_2),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,C_4),D_2))))) # label(fact_287_prod__cases4) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 400 (all Y_1 -(all A_2 all B_1 all C_4 all D_2 Y_1 != hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_2),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B_1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,C_4),D_2))))) # label(fact_288_prod__cases4) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 401 (all Y_1 -(all A_2 all B_1 all C_4 all D_2 Y_1 != hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_2),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B_1),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,C_4),D_2))))) # label(fact_289_prod__cases4) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 402 (all Y_5 -(all A_2 all B_1 all C_4 all D_2 (is_bop(B_1) -> Y_5 != hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_2),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,B_1),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,C_4),D_2)))))) # label(fact_290_prod__cases4) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 403 (all A_18 all B_4 all A_17 all B_3 (hAPP_P295788316har_ty(hAPP_l848957697har_ty(produc1002914035har_ty,A_18),B_4) = hAPP_P295788316har_ty(hAPP_l848957697har_ty(produc1002914035har_ty,A_17),B_3) -> -(A_18 = A_17 -> B_4 != B_3))) # label(fact_291_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 404 (all A_18 all B_4 all A_17 all B_3 (hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A_18),B_4) = hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A_17),B_3) -> -(A_18 = A_17 -> B_4 != B_3))) # label(fact_292_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 405 (all A_18 all B_4 all A_17 all B_3 (hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,A_18),B_4) = hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,A_17),B_3) -> -(A_18 = A_17 -> B_4 != B_3))) # label(fact_293_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 406 (all A_18 all B_4 all A_17 all B_3 (hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,A_18),B_4) = hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,A_17),B_3) -> -(A_18 = A_17 -> B_4 != B_3))) # label(fact_294_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 407 (all A_1 all B all A_8 all B_2 (hAPP_l1701465547on_val(hAPP_l1588290397on_val(produc493060183on_val,A_1),B) = hAPP_l1701465547on_val(hAPP_l1588290397on_val(produc493060183on_val,A_8),B_2) -> -(A_1 = A_8 -> B != B_2))) # label(fact_295_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 408 (all A_1 all B all A_8 all B_2 (hAPP_l1485560508on_val(hAPP_l1324137613on_val(produc584381409on_val,A_1),B) = hAPP_l1485560508on_val(hAPP_l1324137613on_val(produc584381409on_val,A_8),B_2) -> -(A_1 = A_8 -> B != B_2))) # label(fact_296_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 409 (all A_18 all B_4 all A_17 all B_3 (is_char(A_18) & is_char(B_4) & is_char(A_17) & is_char(B_3) -> (hAPP_c802977373r_char(hAPP_c1242523777r_char(produc601902295r_char,A_18),B_4) = hAPP_c802977373r_char(hAPP_c1242523777r_char(produc601902295r_char,A_17),B_3) -> -(A_18 = A_17 -> B_4 != B_3)))) # label(fact_297_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 410 (all A_18 all B_4 all A_17 all B_3 (hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,A_18),B_4) = hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,A_17),B_3) -> -(A_18 = A_17 -> B_4 != B_3))) # label(fact_298_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 411 (all A_18 all B_4 all A_17 all B_3 (hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,A_18),B_4) = hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,A_17),B_3) -> -(A_18 = A_17 -> B_4 != B_3))) # label(fact_299_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 412 (all A_18 all B_4 all A_17 all B_3 (hAPP_t65172803_ty_ty(hAPP_t1494094285_ty_ty(product_Pair_ty_ty,A_18),B_4) = hAPP_t65172803_ty_ty(hAPP_t1494094285_ty_ty(product_Pair_ty_ty,A_17),B_3) -> -(A_18 = A_17 -> B_4 != B_3))) # label(fact_300_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 413 (all A_18 all B_4 all A_17 all B_3 (hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,A_18),B_4) = hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,A_17),B_3) -> -(A_18 = A_17 -> B_4 != B_3))) # label(fact_301_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 414 (all A_18 all B_4 all A_17 all B_3 (hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,A_18),B_4) = hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,A_17),B_3) -> -(A_18 = A_17 -> B_4 != B_3))) # label(fact_302_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 415 (all A_18 all B_4 all A_17 all B_3 (hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,A_18),B_4) = hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,A_17),B_3) -> -(A_18 = A_17 -> B_4 != B_3))) # label(fact_303_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 416 (all A_18 all B_4 all A_17 all B_3 (hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A_18),B_4) = hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A_17),B_3) -> -(A_18 = A_17 -> B_4 != B_3))) # label(fact_304_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 417 (all A_18 all B_4 all A_17 all B_3 (hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_18),B_4) = hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_17),B_3) -> -(A_18 = A_17 -> B_4 != B_3))) # label(fact_305_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 418 (all A_18 all B_4 all A_17 all B_3 (hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A_18),B_4) = hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A_17),B_3) -> -(A_18 = A_17 -> B_4 != B_3))) # label(fact_306_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 419 (all A_18 all B_4 all A_17 all B_3 (hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_18),B_4) = hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_17),B_3) -> -(A_18 = A_17 -> B_4 != B_3))) # label(fact_307_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 420 (all A_1 all B all A_8 all B_2 (hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_1),B) = hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_8),B_2) -> -(A_1 = A_8 -> B != B_2))) # label(fact_308_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 421 (all A_1 all B all A_8 all B_2 (hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A_1),B) = hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A_8),B_2) -> -(A_1 = A_8 -> B != B_2))) # label(fact_309_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 422 (all A_1 all B all A_8 all B_2 (hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_1),B) = hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_8),B_2) -> -(A_1 = A_8 -> B != B_2))) # label(fact_310_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 423 (all A_1 all B all A_8 all B_2 (hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A_1),B) = hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A_8),B_2) -> -(A_1 = A_8 -> B != B_2))) # label(fact_311_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 424 (all A_18 all B_4 all A_17 all B_3 (hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_18),B_4) = hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_17),B_3) -> -(A_18 = A_17 -> B_4 != B_3))) # label(fact_312_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 425 (all A_18 all B_4 all A_17 all B_3 (hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_18),B_4) = hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_17),B_3) -> -(A_18 = A_17 -> B_4 != B_3))) # label(fact_313_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 426 (all A_18 all B_4 all A_17 all B_3 (hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_18),B_4) = hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_17),B_3) -> -(A_18 = A_17 -> B_4 != B_3))) # label(fact_314_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 427 (all A_18 all B_4 all A_17 all B_3 (hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_18),B_4) = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_17),B_3) -> -(A_18 = A_17 -> B_4 != B_3))) # label(fact_315_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 428 (all A_18 all B_4 all A_17 all B_3 (hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_18),B_4) = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_17),B_3) -> -(A_18 = A_17 -> B_4 != B_3))) # label(fact_316_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 429 (all A_18 all B_4 all A_17 all B_3 (hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_18),B_4) = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_17),B_3) -> -(A_18 = A_17 -> B_4 != B_3))) # label(fact_317_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 430 (all A_1 all B all A_8 all B_2 (hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_1),B) = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_8),B_2) -> -(A_1 = A_8 -> B != B_2))) # label(fact_318_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 431 (all A_1 all B all A_8 all B_2 (hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B) = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_8),B_2) -> -(A_1 = A_8 -> B != B_2))) # label(fact_319_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 432 (all A_1 all B all A_8 all B_2 (hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),B) = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_8),B_2) -> -(A_1 = A_8 -> B != B_2))) # label(fact_320_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 433 (all A_1 all B all A_8 all B_2 (hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_1),B) = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_8),B_2) -> -(A_1 = A_8 -> B != B_2))) # label(fact_321_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 434 (all A_1 all B all A_8 all B_2 (hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B) = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_8),B_2) -> -(A_1 = A_8 -> B != B_2))) # label(fact_322_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 435 (all A_1 all B all A_8 all B_2 (hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),B) = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_8),B_2) -> -(A_1 = A_8 -> B != B_2))) # label(fact_323_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 436 (all A_18 all B_4 all A_17 all B_3 (is_bop(A_18) & is_bop(A_17) -> (hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_18),B_4) = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_17),B_3) -> -(A_18 = A_17 -> B_4 != B_3)))) # label(fact_324_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 437 (all A_18 all B_4 all A_17 all B_3 (hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_18),B_4) = hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_17),B_3) -> -(A_18 = A_17 -> B_4 != B_3))) # label(fact_325_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 438 (all A_18 all B_4 all A_17 all B_3 (hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_18),B_4) = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_17),B_3) -> -(A_18 = A_17 -> B_4 != B_3))) # label(fact_326_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 439 (all A_18 all B_4 all A_17 all B_3 (hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_18),B_4) = hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_17),B_3) -> -(A_18 = A_17 -> B_4 != B_3))) # label(fact_327_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 440 (all A_18 all B_4 all A_17 all B_3 (hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A_18),B_4) = hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A_17),B_3) -> -(A_18 = A_17 -> B_4 != B_3))) # label(fact_328_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 441 (all A_1 all B all A_8 all B_2 (hAPP_P295788316har_ty(hAPP_l848957697har_ty(produc1002914035har_ty,A_1),B) = hAPP_P295788316har_ty(hAPP_l848957697har_ty(produc1002914035har_ty,A_8),B_2) <-> A_1 = A_8 & B = B_2)) # label(fact_329_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 442 (all A_1 all B all A_8 all B_2 (hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A_1),B) = hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A_8),B_2) <-> A_1 = A_8 & B = B_2)) # label(fact_330_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 443 (all A_1 all B all A_8 all B_2 (hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,A_1),B) = hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,A_8),B_2) <-> A_1 = A_8 & B = B_2)) # label(fact_331_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 444 (all A_1 all B all A_8 all B_2 (hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,A_1),B) = hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,A_8),B_2) <-> A_1 = A_8 & B = B_2)) # label(fact_332_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 445 (all A_1 all B all A_8 all B_2 (hAPP_l1701465547on_val(hAPP_l1588290397on_val(produc493060183on_val,A_1),B) = hAPP_l1701465547on_val(hAPP_l1588290397on_val(produc493060183on_val,A_8),B_2) <-> A_1 = A_8 & B = B_2)) # label(fact_333_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 446 (all A_1 all B all A_8 all B_2 (hAPP_l1485560508on_val(hAPP_l1324137613on_val(produc584381409on_val,A_1),B) = hAPP_l1485560508on_val(hAPP_l1324137613on_val(produc584381409on_val,A_8),B_2) <-> A_1 = A_8 & B = B_2)) # label(fact_334_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 447 (all A_1 all B all A_8 all B_2 (is_char(A_1) & is_char(B) & is_char(A_8) & is_char(B_2) -> (hAPP_c802977373r_char(hAPP_c1242523777r_char(produc601902295r_char,A_1),B) = hAPP_c802977373r_char(hAPP_c1242523777r_char(produc601902295r_char,A_8),B_2) <-> A_1 = A_8 & B = B_2))) # label(fact_335_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 448 (all A_1 all B all A_8 all B_2 (hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,A_1),B) = hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,A_8),B_2) <-> A_1 = A_8 & B = B_2)) # label(fact_336_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 449 (all A_1 all B all A_8 all B_2 (hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,A_1),B) = hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,A_8),B_2) <-> A_1 = A_8 & B = B_2)) # label(fact_337_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 450 (all A_1 all B all A_8 all B_2 (hAPP_t65172803_ty_ty(hAPP_t1494094285_ty_ty(product_Pair_ty_ty,A_1),B) = hAPP_t65172803_ty_ty(hAPP_t1494094285_ty_ty(product_Pair_ty_ty,A_8),B_2) <-> A_1 = A_8 & B = B_2)) # label(fact_338_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 451 (all A_1 all B all A_8 all B_2 (hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,A_1),B) = hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,A_8),B_2) <-> A_1 = A_8 & B = B_2)) # label(fact_339_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 452 (all A_1 all B all A_8 all B_2 (hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,A_1),B) = hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,A_8),B_2) <-> A_1 = A_8 & B = B_2)) # label(fact_340_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 453 (all A_1 all B all A_8 all B_2 (hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,A_1),B) = hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,A_8),B_2) <-> A_1 = A_8 & B = B_2)) # label(fact_341_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 454 (all A_1 all B all A_8 all B_2 (hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A_1),B) = hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A_8),B_2) <-> A_1 = A_8 & B = B_2)) # label(fact_342_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 455 (all A_1 all B all A_8 all B_2 (hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_1),B) = hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_8),B_2) <-> A_1 = A_8 & B = B_2)) # label(fact_343_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 456 (all A_1 all B all A_8 all B_2 (hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A_1),B) = hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A_8),B_2) <-> A_1 = A_8 & B = B_2)) # label(fact_344_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 457 (all A_1 all B all A_8 all B_2 (hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_1),B) = hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_8),B_2) <-> A_1 = A_8 & B = B_2)) # label(fact_345_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 458 (all A_1 all B all A_8 all B_2 (hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_1),B) = hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_8),B_2) <-> A_1 = A_8 & B = B_2)) # label(fact_346_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 459 (all A_1 all B all A_8 all B_2 (hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A_1),B) = hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A_8),B_2) <-> A_1 = A_8 & B = B_2)) # label(fact_347_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 460 (all A_1 all B all A_8 all B_2 (hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_1),B) = hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_8),B_2) <-> A_1 = A_8 & B = B_2)) # label(fact_348_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 461 (all A_1 all B all A_8 all B_2 (hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A_1),B) = hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A_8),B_2) <-> A_1 = A_8 & B = B_2)) # label(fact_349_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 462 (all A_1 all B all A_8 all B_2 (hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_1),B) = hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_8),B_2) <-> A_1 = A_8 & B = B_2)) # label(fact_350_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 463 (all A_1 all B all A_8 all B_2 (hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_1),B) = hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_8),B_2) <-> A_1 = A_8 & B = B_2)) # label(fact_351_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 464 (all A_1 all B all A_8 all B_2 (hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_1),B) = hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_8),B_2) <-> A_1 = A_8 & B = B_2)) # label(fact_352_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 465 (all A_1 all B all A_8 all B_2 (hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),B) = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_8),B_2) <-> A_1 = A_8 & B = B_2)) # label(fact_353_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 466 (all A_1 all B all A_8 all B_2 (hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),B) = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_8),B_2) <-> A_1 = A_8 & B = B_2)) # label(fact_354_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 467 (all A_1 all B all A_8 all B_2 (hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_1),B) = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_8),B_2) <-> A_1 = A_8 & B = B_2)) # label(fact_355_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 468 (all A_1 all B all A_8 all B_2 (hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_1),B) = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_8),B_2) <-> A_1 = A_8 & B = B_2)) # label(fact_356_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 469 (all A_1 all B all A_8 all B_2 (hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B) = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_8),B_2) <-> A_1 = A_8 & B = B_2)) # label(fact_357_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 470 (all A_1 all B all A_8 all B_2 (hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),B) = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_8),B_2) <-> A_1 = A_8 & B = B_2)) # label(fact_358_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 471 (all A_1 all B all A_8 all B_2 (hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_1),B) = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_8),B_2) <-> A_1 = A_8 & B = B_2)) # label(fact_359_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 472 (all A_1 all B all A_8 all B_2 (hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B) = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_8),B_2) <-> A_1 = A_8 & B = B_2)) # label(fact_360_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 473 (all A_1 all B all A_8 all B_2 (hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),B) = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_8),B_2) <-> A_1 = A_8 & B = B_2)) # label(fact_361_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 474 (all A_1 all B all A_8 all B_2 (is_bop(A_1) & is_bop(A_8) -> (hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),B) = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_8),B_2) <-> A_1 = A_8 & B = B_2))) # label(fact_362_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 475 (all A_1 all B all A_8 all B_2 (hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B) = hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_8),B_2) <-> A_1 = A_8 & B = B_2)) # label(fact_363_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 476 (all A_1 all B all A_8 all B_2 (hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B) = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_8),B_2) <-> A_1 = A_8 & B = B_2)) # label(fact_364_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 477 (all A_1 all B all A_8 all B_2 (hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_1),B) = hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_8),B_2) <-> A_1 = A_8 & B = B_2)) # label(fact_365_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 478 (all A_1 all B all A_8 all B_2 (hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A_1),B) = hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A_8),B_2) <-> A_1 = A_8 & B = B_2)) # label(fact_366_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 479 (all Pa ((all X1 hBOOL(hAPP_P831231943y_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P831231943y_bool(Pa,hAPP_P295788316har_ty(hAPP_l848957697har_ty(produc1002914035har_ty,A_2),B_1)))))) # label(fact_367_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 480 (all Pa ((all X1 hBOOL(hAPP_P27757617y_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P27757617y_bool(Pa,hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A_2),B_1)))))) # label(fact_368_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 481 (all Pa ((all X1 hBOOL(hAPP_P748443392y_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P748443392y_bool(Pa,hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,A_2),B_1)))))) # label(fact_369_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 482 (all Pa ((all X1 hBOOL(hAPP_P476431815r_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P476431815r_bool(Pa,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,A_2),B_1)))))) # label(fact_370_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 483 (all Pa ((all X1 hBOOL(hAPP_P1821438151l_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P1821438151l_bool(Pa,hAPP_l1701465547on_val(hAPP_l1588290397on_val(produc493060183on_val,A_2),B_1)))))) # label(fact_371_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 484 (all Pa ((all X1 hBOOL(hAPP_P1038730315l_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P1038730315l_bool(Pa,hAPP_l1485560508on_val(hAPP_l1324137613on_val(produc584381409on_val,A_2),B_1)))))) # label(fact_372_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 485 (all Pa ((all X1 hBOOL(hAPP_P1700239815r_bool(Pa,X1))) <-> (all A_2 all B_1 (is_char(A_2) & is_char(B_1) -> hBOOL(hAPP_P1700239815r_bool(Pa,hAPP_c802977373r_char(hAPP_c1242523777r_char(produc601902295r_char,A_2),B_1))))))) # label(fact_373_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 486 (all Pa ((all X1 hBOOL(hAPP_P2115985549l_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P2115985549l_bool(Pa,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,A_2),B_1)))))) # label(fact_374_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 487 (all Pa ((all X1 hBOOL(hAPP_P1574824955y_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P1574824955y_bool(Pa,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,A_2),B_1)))))) # label(fact_375_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 488 (all Pa ((all X1 hBOOL(hAPP_P1716187463y_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P1716187463y_bool(Pa,hAPP_t65172803_ty_ty(hAPP_t1494094285_ty_ty(product_Pair_ty_ty,A_2),B_1)))))) # label(fact_376_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 489 (all Pa ((all X1 hBOOL(hAPP_P499022727r_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P499022727r_bool(Pa,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,A_2),B_1)))))) # label(fact_377_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 490 (all Pa ((all X1 hBOOL(hAPP_P1632759357r_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P1632759357r_bool(Pa,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,A_2),B_1)))))) # label(fact_378_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 491 (all Pa ((all X1 hBOOL(hAPP_P439015943l_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P439015943l_bool(Pa,hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,A_2),B_1)))))) # label(fact_379_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 492 (all Pa ((all X1 hBOOL(hAPP_P1002912327r_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P1002912327r_bool(Pa,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A_2),B_1)))))) # label(fact_380_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 493 (all Pa ((all X1 hBOOL(hAPP_P2010574925r_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P2010574925r_bool(Pa,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_2),B_1)))))) # label(fact_381_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 494 (all Pa ((all X1 hBOOL(hAPP_P2123002749l_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P2123002749l_bool(Pa,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A_2),B_1)))))) # label(fact_382_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 495 (all Pa ((all X1 hBOOL(hAPP_P738987199l_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P738987199l_bool(Pa,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_2),B_1)))))) # label(fact_383_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 496 (all Pa ((all X1 hBOOL(hAPP_P2028072621l_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P2028072621l_bool(Pa,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_2),B_1)))))) # label(fact_384_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 497 (all Pa ((all X1 hBOOL(hAPP_P124632071l_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P124632071l_bool(Pa,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A_2),B_1)))))) # label(fact_385_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 498 (all Pa ((all X1 hBOOL(hAPP_P378063101l_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P378063101l_bool(Pa,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_2),B_1)))))) # label(fact_386_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 499 (all Pa ((all X1 hBOOL(hAPP_P1221872711l_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P1221872711l_bool(Pa,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A_2),B_1)))))) # label(fact_387_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 500 (all Pa ((all X1 hBOOL(hAPP_P1183499705r_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P1183499705r_bool(Pa,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_2),B_1)))))) # label(fact_388_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 501 (all Pa ((all X1 hBOOL(hAPP_P1240100515r_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P1240100515r_bool(Pa,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_2),B_1)))))) # label(fact_389_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 502 (all Pa ((all X1 hBOOL(hAPP_P824029447r_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P824029447r_bool(Pa,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_2),B_1)))))) # label(fact_390_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 503 (all Pa ((all X1 hBOOL(hAPP_P92196306r_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P92196306r_bool(Pa,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_2),B_1)))))) # label(fact_391_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 504 (all Pa ((all X1 hBOOL(hAPP_P1907982426r_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P1907982426r_bool(Pa,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_2),B_1)))))) # label(fact_392_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 505 (all Pa ((all X1 hBOOL(hAPP_P2118621157r_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P2118621157r_bool(Pa,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_2),B_1)))))) # label(fact_393_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 506 (all Pa ((all X1 hBOOL(hAPP_P159683425l_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P159683425l_bool(Pa,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_2),B_1)))))) # label(fact_394_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 507 (all Pa ((all X1 hBOOL(hAPP_P282169671l_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P282169671l_bool(Pa,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_2),B_1)))))) # label(fact_395_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 508 (all Pa ((all X1 hBOOL(hAPP_P1708370145l_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P1708370145l_bool(Pa,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_2),B_1)))))) # label(fact_396_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 509 (all Pa ((all X1 hBOOL(hAPP_P1235399154l_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P1235399154l_bool(Pa,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_2),B_1)))))) # label(fact_397_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 510 (all Pa ((all X1 hBOOL(hAPP_P1333315679l_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P1333315679l_bool(Pa,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_2),B_1)))))) # label(fact_398_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 511 (all Pa ((all X1 hBOOL(hAPP_P71593144l_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P71593144l_bool(Pa,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_2),B_1)))))) # label(fact_399_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 512 (all Pa ((all X1 hBOOL(hAPP_P943837928l_bool(Pa,X1))) <-> (all A_2 all B_1 (is_bop(A_2) -> hBOOL(hAPP_P943837928l_bool(Pa,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_2),B_1))))))) # label(fact_400_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 513 (all Pa ((all X1 hBOOL(hAPP_P929938951l_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P929938951l_bool(Pa,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_2),B_1)))))) # label(fact_401_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 514 (all Pa ((all X1 hBOOL(hAPP_P449474095r_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P449474095r_bool(Pa,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_2),B_1)))))) # label(fact_402_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 515 (all Pa ((all X1 hBOOL(hAPP_P2014166431r_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P2014166431r_bool(Pa,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_2),B_1)))))) # label(fact_403_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 516 (all Pa ((all X1 hBOOL(hAPP_P1070896250l_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P1070896250l_bool(Pa,hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A_2),B_1)))))) # label(fact_404_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 517 (all Xs all Ys (hAPP_l1766199206al_nat(size_s470606735on_val,Xs) != hAPP_l1766199206al_nat(size_s470606735on_val,Ys) -> Xs != Ys)) # label(fact_405_neq__if__length__neq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 518 (all Xs all Ys (hAPP_l1746926841al_nat(size_s60479160on_val,Xs) != hAPP_l1746926841al_nat(size_s60479160on_val,Ys) -> Xs != Ys)) # label(fact_406_neq__if__length__neq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 519 (all Xs_8 all Ys_6 (hAPP_list_char_nat(size_size_list_char,Xs_8) != hAPP_list_char_nat(size_size_list_char,Ys_6) -> Xs_8 != Ys_6)) # label(fact_407_neq__if__length__neq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 520 (all Xs_8 all Ys_6 (hAPP_l540212137ty_nat(size_s1444510216har_ty,Xs_8) != hAPP_l540212137ty_nat(size_s1444510216har_ty,Ys_6) -> Xs_8 != Ys_6)) # label(fact_408_neq__if__length__neq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 521 (all Xs_8 all Ys_6 (hAPP_l1280603808al_nat(size_s760178257ar_val,Xs_8) != hAPP_l1280603808al_nat(size_s760178257ar_val,Ys_6) -> Xs_8 != Ys_6)) # label(fact_409_neq__if__length__neq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 522 (all Xs_8 all Ys_6 (hAPP_l289305880ty_nat(size_s1050794909ion_ty,Xs_8) != hAPP_l289305880ty_nat(size_s1050794909ion_ty,Ys_6) -> Xs_8 != Ys_6)) # label(fact_410_neq__if__length__neq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 523 (all Xs_8 all Ys_6 (hAPP_l66428094ar_nat(size_s2113983095t_char,Xs_8) != hAPP_l66428094ar_nat(size_s2113983095t_char,Ys_6) -> Xs_8 != Ys_6)) # label(fact_411_neq__if__length__neq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 524 (all Xs_8 all Ys_6 (hAPP_list_ty_nat(size_size_list_ty,Xs_8) != hAPP_list_ty_nat(size_size_list_ty,Ys_6) -> Xs_8 != Ys_6)) # label(fact_412_neq__if__length__neq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 525 (all Xs_8 all Ys_6 (hAPP_list_val_nat(size_size_list_val,Xs_8) != hAPP_list_val_nat(size_size_list_val,Ys_6) -> Xs_8 != Ys_6)) # label(fact_413_neq__if__length__neq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 526 (all Xs_8 all Ys_6 (hAPP_l452123639ar_nat(size_s1143674878t_char,Xs_8) != hAPP_l452123639ar_nat(size_s1143674878t_char,Ys_6) -> Xs_8 != Ys_6)) # label(fact_414_neq__if__length__neq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 527 (all Xs all Ys (Xs = Ys <-> hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(fequal_ty,Xs),Ys)))) # label(fact_415_list__all2__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 528 (all T_8 all P_3 all S_4 all U_1 (hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(P_3),S_4),U_1)) -> (hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(P_3),U_1),T_8)) -> hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(P_3),S_4),T_8))))) # label(fact_416_widen__trans) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 529 (all Y_4 -(all A_2 all B_1 all C_4 Y_4 != hAPP_P295788316har_ty(hAPP_l848957697har_ty(produc1002914035har_ty,A_2),hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,B_1),C_4)))) # label(fact_417_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 530 (all Y_4 -(all A_2 all B_1 all C_4 Y_4 != hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_2),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_1),C_4)))) # label(fact_418_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 531 (all Y_4 -(all A_2 all B_1 all C_4 Y_4 != hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_2),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,B_1),C_4)))) # label(fact_419_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 532 (all Y_1 -(all A_2 all B_1 all C_4 Y_1 != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_2),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B_1),C_4)))) # label(fact_420_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 533 (all Y_1 -(all A_2 all B_1 all C_4 Y_1 != hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_2),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B_1),C_4)))) # label(fact_421_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 534 (all Y_1 -(all A_2 all B_1 all C_4 Y_1 != hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_2),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,B_1),C_4)))) # label(fact_422_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 535 (all Y_1 -(all A_2 all B_1 all C_4 Y_1 != hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_2),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B_1),C_4)))) # label(fact_423_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 536 (all Y_4 -(all A_2 all B_1 all C_4 (is_bop(A_2) -> Y_4 != hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_2),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B_1),C_4))))) # label(fact_424_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 537 (all Y_4 -(all A_2 all B_1 all C_4 Y_4 != hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_2),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,B_1),C_4)))) # label(fact_425_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 538 (all Y_4 -(all A_2 all B_1 all C_4 Y_4 != hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_2),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_1),C_4)))) # label(fact_426_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 539 (all Y_4 -(all A_2 all B_1 all C_4 Y_4 != hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_2),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,B_1),C_4)))) # label(fact_427_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 540 (all Y_1 -(all A_2 all B_1 all C_4 Y_1 != hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A_2),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B_1),C_4)))) # label(fact_428_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 541 (all Y_1 -(all A_2 all B_1 all C_4 Y_1 != hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_2),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B_1),C_4)))) # label(fact_429_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 542 (all Y_1 -(all A_2 all B_1 all C_4 Y_1 != hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A_2),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,B_1),C_4)))) # label(fact_430_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 543 (all Y_1 -(all A_2 all B_1 all C_4 Y_1 != hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_2),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B_1),C_4)))) # label(fact_431_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 544 (all Y_4 -(all A_2 all B_1 all C_4 (is_bop(B_1) -> Y_4 != hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_2),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,B_1),C_4))))) # label(fact_432_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 545 (all Y_4 -(all A_2 all B_1 all C_4 Y_4 != hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A_2),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B_1),C_4)))) # label(fact_433_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 546 (all Y_4 -(all A_2 all B_1 all C_4 Y_4 != hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_2),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,B_1),C_4)))) # label(fact_434_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 547 (all Y_4 -(all A_2 all B_1 all C_4 Y_4 != hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A_2),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,B_1),C_4)))) # label(fact_435_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 548 (all Y_4 -(all A_2 all B_1 all C_4 Y_4 != hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,A_2),hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,B_1),C_4)))) # label(fact_436_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 549 (all X_2 all Pa ((all A_2 all B_1 all C_4 (is_bop(A_2) -> hBOOL(hAPP_P943837928l_bool(Pa,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_2),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B_1),C_4)))))) -> hBOOL(hAPP_P943837928l_bool(Pa,X_2)))) # label(fact_437_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 550 (all X_2 all Pa ((all A_2 all B_1 all C_4 hBOOL(hAPP_P71593144l_bool(Pa,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_2),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B_1),C_4))))) -> hBOOL(hAPP_P71593144l_bool(Pa,X_2)))) # label(fact_438_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 551 (all X_2 all Pa ((all A_2 all B_1 all C_4 hBOOL(hAPP_P1333315679l_bool(Pa,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_2),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,B_1),C_4))))) -> hBOOL(hAPP_P1333315679l_bool(Pa,X_2)))) # label(fact_439_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 552 (all X_2 all Pa ((all A_2 all B_1 all C_4 hBOOL(hAPP_P1708370145l_bool(Pa,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_2),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B_1),C_4))))) -> hBOOL(hAPP_P1708370145l_bool(Pa,X_2)))) # label(fact_440_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 553 (all X_2 all Pa ((all A_2 all B_1 all C_4 hBOOL(hAPP_P282169671l_bool(Pa,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_2),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B_1),C_4))))) -> hBOOL(hAPP_P282169671l_bool(Pa,X_2)))) # label(fact_441_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 554 (all X_2 all Pa ((all A_2 all B_1 all C_4 hBOOL(hAPP_P1907982426r_bool(Pa,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_2),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,B_1),C_4))))) -> hBOOL(hAPP_P1907982426r_bool(Pa,X_2)))) # label(fact_442_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 555 (all X_2 all Pa ((all A_2 all B_1 all C_4 hBOOL(hAPP_P92196306r_bool(Pa,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_2),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_1),C_4))))) -> hBOOL(hAPP_P92196306r_bool(Pa,X_2)))) # label(fact_443_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 556 (all X_2 all Pa ((all A_2 all B_1 all C_4 hBOOL(hAPP_P1002912327r_bool(Pa,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A_2),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,B_1),C_4))))) -> hBOOL(hAPP_P1002912327r_bool(Pa,X_2)))) # label(fact_444_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 557 (all X_2 all Pa ((all A_2 all B_1 all C_4 hBOOL(hAPP_P439015943l_bool(Pa,hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,A_2),hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,B_1),C_4))))) -> hBOOL(hAPP_P439015943l_bool(Pa,X_2)))) # label(fact_445_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 558 (all Pa all Ha all Vsa all Ts_1 (hBOOL(hAPP_list_ty_bool(list_all2_val_ty(conf_P373316194t_char(Pa,Ha),Vsa),Ts_1)) <-> (exists Ts_4 (hAPP_l2006940821ion_ty(map_val_option_ty(typeof_h(Ha)),Vsa) = hAPP_l1487035934ion_ty(map_ty_option_ty(some_ty),Ts_4) & hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(widen_2090681816t_char(Pa),Ts_4),Ts_1)))))) # label(fact_446_confs__conv__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 559 (all Q_1 all Pa all Xs all Ys (hBOOL(hAPP_list_ty_bool(list_all2_val_ty(Pa,Xs),Ys)) -> ((all Xs_7 all Ys_5 (hBOOL(hAPP_ty_bool(hAPP_val_fun_ty_bool(Pa,Xs_7),Ys_5)) -> hBOOL(hAPP_ty_bool(hAPP_val_fun_ty_bool(Q_1,Xs_7),Ys_5)))) -> hBOOL(hAPP_list_ty_bool(list_all2_val_ty(Q_1,Xs),Ys))))) # label(fact_447_list__all2__mono) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 560 (all Q_1 all Pa all Xs all Ys (hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(Pa,Xs),Ys)) -> ((all Xs_7 all Ys_5 (hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(Pa,Xs_7),Ys_5)) -> hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(Q_1,Xs_7),Ys_5)))) -> hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(Q_1,Xs),Ys))))) # label(fact_448_list__all2__mono) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 561 (all Xs all Pa ((all X_1 hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(Pa,X_1),X_1))) -> hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(Pa,Xs),Xs)))) # label(fact_449_list__all2__refl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 562 (all Xs all Ys all Q_1 all Pa ((all X_1 all Y_2 (hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(Pa,X_1),Y_2)) -> (hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(Q_1,Y_2),X_1)) -> X_1 = Y_2))) -> (hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(Pa,Xs),Ys)) -> (hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(Q_1,Ys),Xs)) -> Xs = Ys)))) # label(fact_450_list__all2__antisym) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 563 (all N_1 exists Xs_7 hAPP_l452123639ar_nat(size_s1143674878t_char,Xs_7) = N_1) # label(fact_451_Ex__list__of__length) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 564 (all N_1 exists Xs_7 hAPP_list_val_nat(size_size_list_val,Xs_7) = N_1) # label(fact_452_Ex__list__of__length) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 565 (all N_1 exists Xs_7 hAPP_list_ty_nat(size_size_list_ty,Xs_7) = N_1) # label(fact_453_Ex__list__of__length) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 566 (all N_1 exists Xs_7 hAPP_l66428094ar_nat(size_s2113983095t_char,Xs_7) = N_1) # label(fact_454_Ex__list__of__length) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 567 (all Y_3 -(all A_2 all B_1 Y_3 != hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A_2),B_1))) # label(fact_455_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 568 (all Y_3 -(all A_2 all B_1 Y_3 != hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_2),B_1))) # label(fact_456_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 569 (all Y_3 -(all A_2 all B_1 Y_3 != hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_2),B_1))) # label(fact_457_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 570 (all Y_3 -(all A_2 all B_1 Y_3 != hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_2),B_1))) # label(fact_458_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 571 (all Y_3 -(all A_2 all B_1 (is_bop(A_2) -> Y_3 != hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_2),B_1)))) # label(fact_459_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 572 (all Y_1 -(all A_2 all B_1 Y_1 != hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_2),B_1))) # label(fact_460_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 573 (all Y_1 -(all A_2 all B_1 Y_1 != hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_2),B_1))) # label(fact_461_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 574 (all Y_1 -(all A_2 all B_1 Y_1 != hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_2),B_1))) # label(fact_462_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 575 (all Y_1 -(all A_2 all B_1 Y_1 != hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_2),B_1))) # label(fact_463_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 576 (all Y_1 -(all A_2 all B_1 Y_1 != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_2),B_1))) # label(fact_464_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 577 (all Y_1 -(all A_2 all B_1 Y_1 != hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_2),B_1))) # label(fact_465_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 578 (all Y_3 -(all A_2 all B_1 Y_3 != hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_2),B_1))) # label(fact_466_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 579 (all Y_3 -(all A_2 all B_1 Y_3 != hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_2),B_1))) # label(fact_467_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 580 (all Y_3 -(all A_2 all B_1 Y_3 != hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_2),B_1))) # label(fact_468_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 581 (all P_2 -(all X_1 all Y_2 P_2 != hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,X_1),Y_2))) # label(fact_469_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 582 (all P_2 -(all X_1 all Y_2 P_2 != hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,X_1),Y_2))) # label(fact_470_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 583 (all P_2 -(all X_1 all Y_2 P_2 != hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,X_1),Y_2))) # label(fact_471_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 584 (all P_2 -(all X_1 all Y_2 P_2 != hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,X_1),Y_2))) # label(fact_472_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 585 (all P_2 -(all X_1 all Y_2 (is_bop(X_1) -> P_2 != hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,X_1),Y_2)))) # label(fact_473_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 586 (all P_1 -(all X_1 all Y_2 P_1 != hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,X_1),Y_2))) # label(fact_474_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 587 (all P_1 -(all X_1 all Y_2 P_1 != hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,X_1),Y_2))) # label(fact_475_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 588 (all P_1 -(all X_1 all Y_2 P_1 != hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,X_1),Y_2))) # label(fact_476_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 589 (all P_1 -(all X_1 all Y_2 P_1 != hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X_1),Y_2))) # label(fact_477_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 590 (all P_1 -(all X_1 all Y_2 P_1 != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X_1),Y_2))) # label(fact_478_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 591 (all P_1 -(all X_1 all Y_2 P_1 != hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X_1),Y_2))) # label(fact_479_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 592 (all P_2 -(all X_1 all Y_2 P_2 != hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,X_1),Y_2))) # label(fact_480_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 593 (all P_2 -(all X_1 all Y_2 P_2 != hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,X_1),Y_2))) # label(fact_481_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 594 (all P_2 -(all X_1 all Y_2 P_2 != hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,X_1),Y_2))) # label(fact_482_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 595 (all Pa ((exists X1 hBOOL(hAPP_P1070896250l_bool(Pa,X1))) <-> (exists A_2 exists B_1 hBOOL(hAPP_P1070896250l_bool(Pa,hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A_2),B_1)))))) # label(fact_483_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 596 (all Pa ((exists X1 hBOOL(hAPP_P2014166431r_bool(Pa,X1))) <-> (exists A_2 exists B_1 hBOOL(hAPP_P2014166431r_bool(Pa,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_2),B_1)))))) # label(fact_484_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 597 (all Pa ((exists X1 hBOOL(hAPP_P449474095r_bool(Pa,X1))) <-> (exists A_2 exists B_1 hBOOL(hAPP_P449474095r_bool(Pa,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_2),B_1)))))) # label(fact_485_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 598 (all Pa ((exists X1 hBOOL(hAPP_P929938951l_bool(Pa,X1))) <-> (exists A_2 exists B_1 hBOOL(hAPP_P929938951l_bool(Pa,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_2),B_1)))))) # label(fact_486_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 599 (all Pa ((exists X1 hBOOL(hAPP_P943837928l_bool(Pa,X1))) <-> (exists A_2 exists B_1 (is_bop(A_2) & hBOOL(hAPP_P943837928l_bool(Pa,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_2),B_1))))))) # label(fact_487_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 600 (all Pa ((exists X1 hBOOL(hAPP_P71593144l_bool(Pa,X1))) <-> (exists A_2 exists B_1 hBOOL(hAPP_P71593144l_bool(Pa,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_2),B_1)))))) # label(fact_488_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 601 (all Pa ((exists X1 hBOOL(hAPP_P1333315679l_bool(Pa,X1))) <-> (exists A_2 exists B_1 hBOOL(hAPP_P1333315679l_bool(Pa,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_2),B_1)))))) # label(fact_489_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 602 (all Pa ((exists X1 hBOOL(hAPP_P1235399154l_bool(Pa,X1))) <-> (exists A_2 exists B_1 hBOOL(hAPP_P1235399154l_bool(Pa,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_2),B_1)))))) # label(fact_490_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 603 (all Pa ((exists X1 hBOOL(hAPP_P1708370145l_bool(Pa,X1))) <-> (exists A_2 exists B_1 hBOOL(hAPP_P1708370145l_bool(Pa,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_2),B_1)))))) # label(fact_491_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 604 (all Pa ((exists X1 hBOOL(hAPP_P282169671l_bool(Pa,X1))) <-> (exists A_2 exists B_1 hBOOL(hAPP_P282169671l_bool(Pa,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_2),B_1)))))) # label(fact_492_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 605 (all Pa ((exists X1 hBOOL(hAPP_P159683425l_bool(Pa,X1))) <-> (exists A_2 exists B_1 hBOOL(hAPP_P159683425l_bool(Pa,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_2),B_1)))))) # label(fact_493_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 606 (all Pa ((exists X1 hBOOL(hAPP_P2118621157r_bool(Pa,X1))) <-> (exists A_2 exists B_1 hBOOL(hAPP_P2118621157r_bool(Pa,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_2),B_1)))))) # label(fact_494_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 607 (all Pa ((exists X1 hBOOL(hAPP_P1907982426r_bool(Pa,X1))) <-> (exists A_2 exists B_1 hBOOL(hAPP_P1907982426r_bool(Pa,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_2),B_1)))))) # label(fact_495_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 608 (all Pa ((exists X1 hBOOL(hAPP_P92196306r_bool(Pa,X1))) <-> (exists A_2 exists B_1 hBOOL(hAPP_P92196306r_bool(Pa,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_2),B_1)))))) # label(fact_496_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 609 (all T_4 all Pa all Ha all V all Ta (hBOOL(hAPP_ty_bool(hAPP_val_fun_ty_bool(conf_P373316194t_char(Pa,Ha),V),Ta)) -> (hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),Ta),T_4)) -> hBOOL(hAPP_ty_bool(hAPP_val_fun_ty_bool(conf_P373316194t_char(Pa,Ha),V),T_4))))) # label(fact_497_conf__widen) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 610 (all Ts_1 all Pa all Ha all Vsa all Tsa (hBOOL(hAPP_list_ty_bool(list_all2_val_ty(conf_P373316194t_char(Pa,Ha),Vsa),Tsa)) -> (hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(widen_2090681816t_char(Pa),Tsa),Ts_1)) -> hBOOL(hAPP_list_ty_bool(list_all2_val_ty(conf_P373316194t_char(Pa,Ha),Vsa),Ts_1))))) # label(fact_498_confs__widens) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 611 (all Pa all Ha all V all Ta (hBOOL(hAPP_ty_bool(hAPP_val_fun_ty_bool(conf_P373316194t_char(Pa,Ha),V),Ta)) <-> (exists T_3 (hAPP_val_option_ty(typeof_h(Ha),V) = hAPP_ty_option_ty(some_ty,T_3) & hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_3),Ta)))))) # label(fact_499_conf__def) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 612 (all Pa all Ea all Ha all L_1 all E all H all L all Vsa all Ps all Tsa (hAPP_l66428094ar_nat(size_s2113983095t_char,Ps) = hAPP_list_ty_nat(size_size_list_ty,Tsa) -> (hAPP_l66428094ar_nat(size_s2113983095t_char,Ps) = hAPP_list_val_nat(size_size_list_val,Vsa) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Ps),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Tsa),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Vsa),Ea)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1)),E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L))) -> (exists L_6 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),map_up1085636310ar_val(L_1,Ps,Vsa))),E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L_6)))))))) # label(fact_500_blocksEval) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 613 (all A_1 all A_8 (hAPP_nat_option_nat(some_nat,A_1) = hAPP_nat_option_nat(some_nat,A_8) <-> A_1 = A_8)) # label(fact_501_option_Oinject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 614 (all A_1 all A_8 (hAPP_val_option_val(some_val,A_1) = hAPP_val_option_val(some_val,A_8) <-> A_1 = A_8)) # label(fact_502_option_Oinject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 615 (all A_1 all A_8 (hAPP_P1510515380on_val(some_P948696889on_val,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,A_8) <-> A_1 = A_8)) # label(fact_503_option_Oinject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 616 (all A_1 all A_8 (hAPP_ty_option_ty(some_ty,A_1) = hAPP_ty_option_ty(some_ty,A_8) <-> A_1 = A_8)) # label(fact_504_option_Oinject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 617 (all F_1 all A_1 all B (hBOOL(hAPP_P1070896250l_bool(F_1,hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A_1),B))) -> hBOOL(hAPP_val_bool(hAPP_P486515074l_bool(produc218426791l_bool(F_1),A_1),B)))) # label(fact_505_curryI) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 618 (all F_1 all A_1 all B (hBOOL(hAPP_P2014166431r_bool(F_1,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_1),B))) -> hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(produc288369490r_bool(F_1),A_1),B)))) # label(fact_506_curryI) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 619 (all F_1 all A_1 all B (hBOOL(hAPP_P449474095r_bool(F_1,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B))) -> hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(produc95371820r_bool(F_1),A_1),B)))) # label(fact_507_curryI) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 620 (all F_1 all A_1 all B (hBOOL(hAPP_P929938951l_bool(F_1,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B))) -> hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(produc886919678l_bool(F_1),A_1),B)))) # label(fact_508_curryI) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 621 (all F_1 all A_1 all B (hBOOL(hAPP_P943837928l_bool(F_1,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),B))) -> hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(produc1555310053l_bool(F_1),A_1),B)))) # label(fact_509_curryI) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 622 (all F_1 all A_1 all B (hBOOL(hAPP_P71593144l_bool(F_1,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),B))) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(produc1838470831l_bool(F_1),A_1),B)))) # label(fact_510_curryI) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 623 (all F_1 all A_1 all B (hBOOL(hAPP_P1333315679l_bool(F_1,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B))) -> hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(produc2053127004l_bool(F_1),A_1),B)))) # label(fact_511_curryI) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 624 (all F_1 all A_1 all B (hBOOL(hAPP_P1235399154l_bool(F_1,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_1),B))) -> hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(produc481748255l_bool(F_1),A_1),B)))) # label(fact_512_curryI) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 625 (all F_1 all A_1 all B (hBOOL(hAPP_P1708370145l_bool(F_1,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),B))) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(produc1911975310l_bool(F_1),A_1),B)))) # label(fact_513_curryI) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 626 (all F_1 all A_1 all B (hBOOL(hAPP_P282169671l_bool(F_1,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B))) -> hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(produc1159035454l_bool(F_1),A_1),B)))) # label(fact_514_curryI) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 627 (all F_1 all A_1 all B (hBOOL(hAPP_P159683425l_bool(F_1,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_1),B))) -> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(produc2062775566l_bool(F_1),A_1),B)))) # label(fact_515_curryI) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 628 (all F_1 all A_1 all B (hBOOL(hAPP_P2118621157r_bool(F_1,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_1),B))) -> hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(produc550034914r_bool(F_1),A_1),B)))) # label(fact_516_curryI) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 629 (all F_1 all A_1 all B (hBOOL(hAPP_P1907982426r_bool(F_1,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),B))) -> hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(produc156891095r_bool(F_1),A_1),B)))) # label(fact_517_curryI) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 630 (all F_1 all A_1 all B (hBOOL(hAPP_P92196306r_bool(F_1,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),B))) -> hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(produc1574020101r_bool(F_1),A_1),B)))) # label(fact_518_curryI) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 631 (all Pa all Ha all E_4 all Vsa all Tsa (hBOOL(wTrts_1(Pa,Ha,E_4,hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vsa),Tsa)) <-> hAPP_l2006940821ion_ty(map_val_option_ty(typeof_h(Ha)),Vsa) = hAPP_l1487035934ion_ty(map_ty_option_ty(some_ty),Tsa))) # label(fact_519_WTrts__Val) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 632 (all Ha all L_1 all Pa all Ea all Vsa all Vsa_1 all Tsa (hAPP_l66428094ar_nat(size_s2113983095t_char,Vsa_1) = hAPP_list_ty_nat(size_size_list_ty,Tsa) -> (hAPP_list_val_nat(size_size_list_val,Vsa) = hAPP_list_ty_nat(size_size_list_ty,Tsa) -> (hBOOL(final_list_char(Ea)) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Vsa_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Tsa),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Vsa),Ea))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))),transi2024712006on_val(red(Pa)))))))) # label(fact_520_blocksFinal) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 633 (all Pa all E_4 all Ha all V all Ta (hAPP_val_option_ty(typeof_h(Ha),V) = hAPP_ty_option_ty(some_ty,Ta) -> hBOOL(wTrt(Pa,Ha,E_4,hAPP_v834067052t_char(val_list_char,V),Ta)))) # label(fact_521_WTrtVal) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 634 (all Xs all Ys all R_1 all N (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Xs),Ys),lexn_char(R_1,N))) -> hAPP_list_char_nat(size_size_list_char,Xs) = N & hAPP_list_char_nat(size_size_list_char,Ys) = N)) # label(fact_522_lexn__length) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 635 (all Xs all Ys all R_1 all N (hBOOL(member894971540t_char(hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,Xs),Ys),lexn_exp_list_char(R_1,N))) -> hAPP_l452123639ar_nat(size_s1143674878t_char,Xs) = N & hAPP_l452123639ar_nat(size_s1143674878t_char,Ys) = N)) # label(fact_523_lexn__length) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 636 (all Xs all Ys all R_1 all N (hBOOL(member273646106st_val(hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,Xs),Ys),lexn_val(R_1,N))) -> hAPP_list_val_nat(size_size_list_val,Xs) = N & hAPP_list_val_nat(size_size_list_val,Ys) = N)) # label(fact_524_lexn__length) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 637 (all Xs all Ys all R_1 all N (hBOOL(member104734088ist_ty(hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,Xs),Ys),lexn_ty(R_1,N))) -> hAPP_list_ty_nat(size_size_list_ty,Xs) = N & hAPP_list_ty_nat(size_size_list_ty,Ys) = N)) # label(fact_525_lexn__length) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 638 (all Xs all Ys all R_1 all N (hBOOL(member817832404t_char(hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,Xs),Ys),lexn_list_char(R_1,N))) -> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = N & hAPP_l66428094ar_nat(size_s2113983095t_char,Ys) = N)) # label(fact_526_lexn__length) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 639 (all H all Pa all Ha all E_4 all Es_1 all Tsa (hBOOL(wTrts_1(Pa,Ha,E_4,Es_1,Tsa)) -> (hBOOL(hext(Ha,H)) -> hBOOL(wTrts_1(Pa,H,E_4,Es_1,Tsa))))) # label(fact_527_WTrts__hext__mono) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 640 (all H all Pa all Ha all E_4 all Ea all Ta (hBOOL(wTrt(Pa,Ha,E_4,Ea,Ta)) -> (hBOOL(hext(Ha,H)) -> hBOOL(wTrt(Pa,H,E_4,Ea,Ta))))) # label(fact_528_WTrt__hext__mono) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 641 (all Pa all Ha all E_4 all Es_1 all Tsa (hBOOL(wTrts_1(Pa,Ha,E_4,Es_1,Tsa)) -> hAPP_l452123639ar_nat(size_s1143674878t_char,Es_1) = hAPP_list_ty_nat(size_size_list_ty,Tsa))) # label(fact_529_WTrts__same__length) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 642 (all F_1 all A_1 all B (hBOOL(hAPP_val_bool(hAPP_P486515074l_bool(produc218426791l_bool(F_1),A_1),B)) -> hBOOL(hAPP_P1070896250l_bool(F_1,hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A_1),B))))) # label(fact_530_curryE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 643 (all F_1 all A_1 all B (hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(produc288369490r_bool(F_1),A_1),B)) -> hBOOL(hAPP_P2014166431r_bool(F_1,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_1),B))))) # label(fact_531_curryE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 644 (all F_1 all A_1 all B (hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(produc95371820r_bool(F_1),A_1),B)) -> hBOOL(hAPP_P449474095r_bool(F_1,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B))))) # label(fact_532_curryE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 645 (all F_1 all A_1 all B (hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(produc886919678l_bool(F_1),A_1),B)) -> hBOOL(hAPP_P929938951l_bool(F_1,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B))))) # label(fact_533_curryE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 646 (all F_1 all A_1 all B (hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(produc1555310053l_bool(F_1),A_1),B)) -> hBOOL(hAPP_P943837928l_bool(F_1,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),B))))) # label(fact_534_curryE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 647 (all F_1 all A_1 all B (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(produc1838470831l_bool(F_1),A_1),B)) -> hBOOL(hAPP_P71593144l_bool(F_1,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),B))))) # label(fact_535_curryE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 648 (all F_1 all A_1 all B (hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(produc2053127004l_bool(F_1),A_1),B)) -> hBOOL(hAPP_P1333315679l_bool(F_1,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B))))) # label(fact_536_curryE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 649 (all F_1 all A_1 all B (hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(produc481748255l_bool(F_1),A_1),B)) -> hBOOL(hAPP_P1235399154l_bool(F_1,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_1),B))))) # label(fact_537_curryE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 650 (all F_1 all A_1 all B (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(produc1911975310l_bool(F_1),A_1),B)) -> hBOOL(hAPP_P1708370145l_bool(F_1,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),B))))) # label(fact_538_curryE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 651 (all F_1 all A_1 all B (hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(produc1159035454l_bool(F_1),A_1),B)) -> hBOOL(hAPP_P282169671l_bool(F_1,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B))))) # label(fact_539_curryE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 652 (all F_1 all A_1 all B (hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(produc2062775566l_bool(F_1),A_1),B)) -> hBOOL(hAPP_P159683425l_bool(F_1,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_1),B))))) # label(fact_540_curryE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 653 (all F_1 all A_1 all B (hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(produc550034914r_bool(F_1),A_1),B)) -> hBOOL(hAPP_P2118621157r_bool(F_1,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_1),B))))) # label(fact_541_curryE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 654 (all F_1 all A_1 all B (hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(produc156891095r_bool(F_1),A_1),B)) -> hBOOL(hAPP_P1907982426r_bool(F_1,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),B))))) # label(fact_542_curryE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 655 (all F_1 all A_1 all B (hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(produc1574020101r_bool(F_1),A_1),B)) -> hBOOL(hAPP_P92196306r_bool(F_1,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),B))))) # label(fact_543_curryE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 656 (all F_1 all A_1 all B (hBOOL(hAPP_val_bool(hAPP_P486515074l_bool(produc218426791l_bool(F_1),A_1),B)) -> hBOOL(hAPP_P1070896250l_bool(F_1,hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A_1),B))))) # label(fact_544_curryD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 657 (all F_1 all A_1 all B (hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(produc288369490r_bool(F_1),A_1),B)) -> hBOOL(hAPP_P2014166431r_bool(F_1,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_1),B))))) # label(fact_545_curryD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 658 (all F_1 all A_1 all B (hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(produc95371820r_bool(F_1),A_1),B)) -> hBOOL(hAPP_P449474095r_bool(F_1,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B))))) # label(fact_546_curryD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 659 (all F_1 all A_1 all B (hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(produc886919678l_bool(F_1),A_1),B)) -> hBOOL(hAPP_P929938951l_bool(F_1,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B))))) # label(fact_547_curryD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 660 (all F_1 all A_1 all B (hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(produc1555310053l_bool(F_1),A_1),B)) -> hBOOL(hAPP_P943837928l_bool(F_1,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),B))))) # label(fact_548_curryD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 661 (all F_1 all A_1 all B (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(produc1838470831l_bool(F_1),A_1),B)) -> hBOOL(hAPP_P71593144l_bool(F_1,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),B))))) # label(fact_549_curryD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 662 (all F_1 all A_1 all B (hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(produc2053127004l_bool(F_1),A_1),B)) -> hBOOL(hAPP_P1333315679l_bool(F_1,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B))))) # label(fact_550_curryD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 663 (all F_1 all A_1 all B (hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(produc481748255l_bool(F_1),A_1),B)) -> hBOOL(hAPP_P1235399154l_bool(F_1,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_1),B))))) # label(fact_551_curryD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 664 (all F_1 all A_1 all B (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(produc1911975310l_bool(F_1),A_1),B)) -> hBOOL(hAPP_P1708370145l_bool(F_1,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),B))))) # label(fact_552_curryD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 665 (all F_1 all A_1 all B (hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(produc1159035454l_bool(F_1),A_1),B)) -> hBOOL(hAPP_P282169671l_bool(F_1,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B))))) # label(fact_553_curryD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 666 (all F_1 all A_1 all B (hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(produc2062775566l_bool(F_1),A_1),B)) -> hBOOL(hAPP_P159683425l_bool(F_1,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_1),B))))) # label(fact_554_curryD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 667 (all F_1 all A_1 all B (hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(produc550034914r_bool(F_1),A_1),B)) -> hBOOL(hAPP_P2118621157r_bool(F_1,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_1),B))))) # label(fact_555_curryD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 668 (all F_1 all A_1 all B (hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(produc156891095r_bool(F_1),A_1),B)) -> hBOOL(hAPP_P1907982426r_bool(F_1,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),B))))) # label(fact_556_curryD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 669 (all F_1 all A_1 all B (hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(produc1574020101r_bool(F_1),A_1),B)) -> hBOOL(hAPP_P92196306r_bool(F_1,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),B))))) # label(fact_557_curryD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 670 (all Ea all Ha all L_1 all E all H all L all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L))),red(Pa))) -> hBOOL(hext(Ha,H)))) # label(fact_558_red__hext__incr) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 671 (all A_1 all R_1 hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),A_1),transi1395422419t_char(R_1)))) # label(fact_559_rtrancl_Ortrancl__refl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 672 (all A_1 all R_1 hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),A_1),transi374442731on_val(R_1)))) # label(fact_560_rtrancl_Ortrancl__refl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 673 (all A_1 all R_1 hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),A_1),transi2024712006on_val(R_1)))) # label(fact_561_rtrancl_Ortrancl__refl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 674 (all A_1 all R_1 hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),A_1),transi935034983cl_val(R_1)))) # label(fact_562_rtrancl_Ortrancl__refl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 675 (all V all Ta all Ha all H (hBOOL(hext(Ha,H)) -> (hAPP_val_option_ty(typeof_h(Ha),V) = hAPP_ty_option_ty(some_ty,Ta) -> hAPP_val_option_ty(typeof_h(H),V) = hAPP_ty_option_ty(some_ty,Ta)))) # label(fact_563_hext__typeof__mono) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 676 (all Pa all Ea all Ha all L_1 all E all H all L (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1)),E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L))) -> hBOOL(hext(Ha,H)))) # label(fact_564_eval__hext) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 677 (all Ha hBOOL(hext(Ha,Ha))) # label(fact_565_hext__refl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 678 (all P_1 all R_1 (hBOOL(member1251428284t_char(P_1,R_1)) -> hBOOL(member1251428284t_char(P_1,transi1395422419t_char(R_1))))) # label(fact_566_r__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 679 (all P_1 all R_1 (hBOOL(member875476972on_val(P_1,R_1)) -> hBOOL(member875476972on_val(P_1,transi374442731on_val(R_1))))) # label(fact_567_r__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 680 (all P_1 all R_1 (hBOOL(member773094996on_val(P_1,R_1)) -> hBOOL(member773094996on_val(P_1,transi2024712006on_val(R_1))))) # label(fact_568_r__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 681 (all E_4 all Ta all Ea all Ha all L_1 all E all H all L all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L))),red(Pa))) -> (hBOOL(wTrt(Pa,Ha,E_4,Ea,Ta)) -> (hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),Ha)) -> hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),H)))))) # label(fact_569_red__preserves__hconf) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 682 (all Pa all S_1 all Ea (hBOOL(final_list_char(Ea)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),Ea),S_1)))) # label(fact_570_eval__finalId) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 683 (all Pa all Ea all S_1 all E all S (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),E),S)) -> hBOOL(final_list_char(E)))) # label(fact_571_eval__final) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.51 684 (all E_4 all Ta all Ea all Ha all L_1 all E all H all L all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L))),red(Pa))) -> (hBOOL(wTrt(Pa,Ha,E_4,Ea,Ta)) -> (hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),Ha),L_1),E_4)) -> hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),H),L),E_4)))))) # label(fact_572_red__preserves__lconf) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 685 (all Pa all V all S_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,hAPP_v834067052t_char(val_list_char,V),S_1),hAPP_v834067052t_char(val_list_char,V)),S_1))) # label(fact_573_Val) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 686 (all H all Pa all Ha all L_1 all E_4 (hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),Ha),L_1),E_4)) -> (hBOOL(hext(Ha,H)) -> hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),H),L_1),E_4))))) # label(fact_574_lconf__hext) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 687 (all R_1 transi1395422419t_char(transi1395422419t_char(R_1)) = transi1395422419t_char(R_1)) # label(fact_575_rtrancl__idemp) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 688 (all R_1 transi374442731on_val(transi374442731on_val(R_1)) = transi374442731on_val(R_1)) # label(fact_576_rtrancl__idemp) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 689 (all R_1 transi2024712006on_val(transi2024712006on_val(R_1)) = transi2024712006on_val(R_1)) # label(fact_577_rtrancl__idemp) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 690 (all H_5 all Ha all H (hBOOL(hext(Ha,H)) -> (hBOOL(hext(H,H_5)) -> hBOOL(hext(Ha,H_5))))) # label(fact_578_hext__trans) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 691 (all C_2 all A_1 all B all R_1 (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B),R_1)) -> (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,B),C_2),transi1395422419t_char(R_1))) -> hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),C_2),transi1395422419t_char(R_1)))))) # label(fact_579_converse__rtrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 692 (all C_2 all A_1 all B all R_1 (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B),R_1)) -> (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B),C_2),transi374442731on_val(R_1))) -> hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),C_2),transi374442731on_val(R_1)))))) # label(fact_580_converse__rtrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 693 (all C_2 all A_1 all B all R_1 (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B),R_1)) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B),C_2),transi2024712006on_val(R_1))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),C_2),transi2024712006on_val(R_1)))))) # label(fact_581_converse__rtrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 694 (all C_2 all A_1 all B all R_1 (hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B),R_1)) -> (hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B),C_2),transi935034983cl_val(R_1))) -> hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),C_2),transi935034983cl_val(R_1)))))) # label(fact_582_converse__rtrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 695 (all C_2 all A_1 all B all R_1 (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B),transi1395422419t_char(R_1))) -> (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,B),C_2),R_1)) -> hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),C_2),transi1395422419t_char(R_1)))))) # label(fact_583_rtrancl_Ortrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 696 (all C_2 all A_1 all B all R_1 (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B),transi374442731on_val(R_1))) -> (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B),C_2),R_1)) -> hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),C_2),transi374442731on_val(R_1)))))) # label(fact_584_rtrancl_Ortrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 697 (all C_2 all A_1 all B all R_1 (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B),transi2024712006on_val(R_1))) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B),C_2),R_1)) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),C_2),transi2024712006on_val(R_1)))))) # label(fact_585_rtrancl_Ortrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 698 (all C_2 all A_1 all B all R_1 (hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B),transi935034983cl_val(R_1))) -> (hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B),C_2),R_1)) -> hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),C_2),transi935034983cl_val(R_1)))))) # label(fact_586_rtrancl_Ortrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 699 (all C_2 all A_1 all B all R_1 (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B),transi1395422419t_char(R_1))) -> (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,B),C_2),transi1395422419t_char(R_1))) -> hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),C_2),transi1395422419t_char(R_1)))))) # label(fact_587_rtrancl__trans) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 700 (all C_2 all A_1 all B all R_1 (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B),transi374442731on_val(R_1))) -> (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B),C_2),transi374442731on_val(R_1))) -> hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),C_2),transi374442731on_val(R_1)))))) # label(fact_588_rtrancl__trans) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 701 (all C_2 all A_1 all B all R_1 (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B),transi2024712006on_val(R_1))) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B),C_2),transi2024712006on_val(R_1))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),C_2),transi2024712006on_val(R_1)))))) # label(fact_589_rtrancl__trans) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 702 (all C_2 all A_1 all B all R_1 (hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B),transi935034983cl_val(R_1))) -> (hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B),C_2),transi935034983cl_val(R_1))) -> hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),C_2),transi935034983cl_val(R_1)))))) # label(fact_590_rtrancl__trans) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 703 (all Pa all V all S_1 all E all S (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,hAPP_v834067052t_char(val_list_char,V),S_1),E),S)) -> -(E = hAPP_v834067052t_char(val_list_char,V) -> S != S_1))) # label(fact_591_eval__cases_I2_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 704 (all Pa all Ha all L_1 all E_4 (hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),Ha),L_1),E_4)) <-> (all V_7 all V_4 (hAPP_l207779698on_val(L_1,V_7) = hAPP_val_option_val(some_val,V_4) -> (exists T_1 (hAPP_l512744617ion_ty(E_4,V_7) = hAPP_ty_option_ty(some_ty,T_1) & hBOOL(hAPP_ty_bool(hAPP_val_fun_ty_bool(conf_P373316194t_char(Pa,Ha),V_4),T_1)))))))) # label(fact_592_lconf__def) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 705 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Xa_1),Xb_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Za),Zb)),transi374442731on_val(R_1))) -> (hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Xa_1),Xb_1) != hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Za),Zb) -> -(all A_2 all B_1 (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Xa_1),Xb_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_2),B_1)),R_1)) -> -hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_2),B_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Za),Zb)),transi374442731on_val(R_1)))))))) # label(fact_593_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 706 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Xa_1),Xb_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Za),Zb)),transi2024712006on_val(R_1))) -> (hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Xa_1),Xb_1) != hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Za),Zb) -> -(all A_2 all B_1 (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Xa_1),Xb_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_2),B_1)),R_1)) -> -hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_2),B_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Za),Zb)),transi2024712006on_val(R_1)))))))) # label(fact_594_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 707 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member619264020ar_val(hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,Xa_1),Xb_1)),hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,Za),Zb)),transi1600669663ar_val(R_1))) -> (hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,Xa_1),Xb_1) != hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,Za),Zb) -> -(all A_2 all B_1 (hBOOL(member619264020ar_val(hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,Xa_1),Xb_1)),hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A_2),B_1)),R_1)) -> -hBOOL(member619264020ar_val(hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A_2),B_1)),hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,Za),Zb)),transi1600669663ar_val(R_1)))))))) # label(fact_595_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 708 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member1999287380t_char(hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Xa_1),Xb_1)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Za),Zb)),transi198989188t_char(R_1))) -> (hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Xa_1),Xb_1) != hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Za),Zb) -> -(all A_2 all B_1 (hBOOL(member1999287380t_char(hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Xa_1),Xb_1)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_2),B_1)),R_1)) -> -hBOOL(member1999287380t_char(hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_2),B_1)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Za),Zb)),transi198989188t_char(R_1)))))))) # label(fact_596_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 709 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member794220506t_char(hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Xa_1),Xb_1)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Za),Zb)),transi1095029602t_char(R_1))) -> (hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Xa_1),Xb_1) != hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Za),Zb) -> -(all A_2 all B_1 (hBOOL(member794220506t_char(hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Xa_1),Xb_1)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_2),B_1)),R_1)) -> -hBOOL(member794220506t_char(hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_2),B_1)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Za),Zb)),transi1095029602t_char(R_1)))))))) # label(fact_597_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 710 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member837208074al_val(hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Xa_1),Xb_1)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Za),Zb)),transi1423755450al_val(R_1))) -> (hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Xa_1),Xb_1) != hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Za),Zb) -> -(all A_2 all B_1 (hBOOL(member837208074al_val(hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Xa_1),Xb_1)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_2),B_1)),R_1)) -> -hBOOL(member837208074al_val(hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_2),B_1)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Za),Zb)),transi1423755450al_val(R_1)))))))) # label(fact_598_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 711 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member1732271180al_val(hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Xa_1),Xb_1)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Za),Zb)),transi1906258203al_val(R_1))) -> (hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Xa_1),Xb_1) != hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Za),Zb) -> -(all A_2 all B_1 (is_bop(A_2) -> (hBOOL(member1732271180al_val(hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Xa_1),Xb_1)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_2),B_1)),R_1)) -> -hBOOL(member1732271180al_val(hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_2),B_1)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Za),Zb)),transi1906258203al_val(R_1))))))))) # label(fact_599_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 712 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member88670778on_val(hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Xa_1),Xb_1)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Za),Zb)),transi208336786on_val(R_1))) -> (hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Xa_1),Xb_1) != hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Za),Zb) -> -(all A_2 all B_1 (hBOOL(member88670778on_val(hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Xa_1),Xb_1)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_2),B_1)),R_1)) -> -hBOOL(member88670778on_val(hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_2),B_1)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Za),Zb)),transi208336786on_val(R_1)))))))) # label(fact_600_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 713 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member1322055188on_val(hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Xa_1),Xb_1)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Za),Zb)),transi61620055on_val(R_1))) -> (hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Xa_1),Xb_1) != hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Za),Zb) -> -(all A_2 all B_1 (hBOOL(member1322055188on_val(hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Xa_1),Xb_1)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_2),B_1)),R_1)) -> -hBOOL(member1322055188on_val(hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_2),B_1)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Za),Zb)),transi61620055on_val(R_1)))))))) # label(fact_601_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 714 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member808015754on_val(hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Xa_1),Xb_1)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Za),Zb)),transi910771962on_val(R_1))) -> (hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Xa_1),Xb_1) != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Za),Zb) -> -(all A_2 all B_1 (hBOOL(member808015754on_val(hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Xa_1),Xb_1)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_2),B_1)),R_1)) -> -hBOOL(member808015754on_val(hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_2),B_1)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Za),Zb)),transi910771962on_val(R_1)))))))) # label(fact_602_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 715 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member563141460on_val(hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Xa_1),Xb_1)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Za),Zb)),transi921647814on_val(R_1))) -> (hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Xa_1),Xb_1) != hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Za),Zb) -> -(all A_2 all B_1 (hBOOL(member563141460on_val(hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Xa_1),Xb_1)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_2),B_1)),R_1)) -> -hBOOL(member563141460on_val(hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_2),B_1)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Za),Zb)),transi921647814on_val(R_1)))))))) # label(fact_603_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 716 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member1161907014t_char(hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Xa_1),Xb_1)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Za),Zb)),transi1789604888t_char(R_1))) -> (hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Xa_1),Xb_1) != hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Za),Zb) -> -(all A_2 all B_1 (hBOOL(member1161907014t_char(hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Xa_1),Xb_1)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_2),B_1)),R_1)) -> -hBOOL(member1161907014t_char(hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_2),B_1)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Za),Zb)),transi1789604888t_char(R_1)))))))) # label(fact_604_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 717 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member125098544t_char(hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Xa_1),Xb_1)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Za),Zb)),transi1257872013t_char(R_1))) -> (hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Xa_1),Xb_1) != hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Za),Zb) -> -(all A_2 all B_1 (hBOOL(member125098544t_char(hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Xa_1),Xb_1)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_2),B_1)),R_1)) -> -hBOOL(member125098544t_char(hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_2),B_1)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Za),Zb)),transi1257872013t_char(R_1)))))))) # label(fact_605_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 718 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member1420286996t_char(hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Xa_1),Xb_1)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Za),Zb)),transi122195895t_char(R_1))) -> (hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Xa_1),Xb_1) != hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Za),Zb) -> -(all A_2 all B_1 (hBOOL(member1420286996t_char(hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Xa_1),Xb_1)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_2),B_1)),R_1)) -> -hBOOL(member1420286996t_char(hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_2),B_1)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Za),Zb)),transi122195895t_char(R_1)))))))) # label(fact_606_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 719 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Ax),Ay)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Bx),By)),transi374442731on_val(R_1))) -> (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Bx),By)) -> ((all A_2 all B_1 all Aa all Ba (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_2),B_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Aa),Ba)),R_1)) -> (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Aa),Ba)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Bx),By)),transi374442731on_val(R_1))) -> (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,A_2),B_1)))))) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Ax),Ay)))))) # label(fact_607_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 720 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ax),Ay)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Bx),By)),transi2024712006on_val(R_1))) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Bx),By)) -> ((all A_2 all B_1 all Aa all Ba (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_2),B_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Aa),Ba)),R_1)) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Aa),Ba)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Bx),By)),transi2024712006on_val(R_1))) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,A_2),B_1)))))) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Ax),Ay)))))) # label(fact_608_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 721 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member619264020ar_val(hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,Ax),Ay)),hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,Bx),By)),transi1600669663ar_val(R_1))) -> (hBOOL(hAPP_val_bool(hAPP_P486515074l_bool(Pa,Bx),By)) -> ((all A_2 all B_1 all Aa all Ba (hBOOL(member619264020ar_val(hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A_2),B_1)),hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,Aa),Ba)),R_1)) -> (hBOOL(member619264020ar_val(hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,Aa),Ba)),hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,Bx),By)),transi1600669663ar_val(R_1))) -> (hBOOL(hAPP_val_bool(hAPP_P486515074l_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_val_bool(hAPP_P486515074l_bool(Pa,A_2),B_1)))))) -> hBOOL(hAPP_val_bool(hAPP_P486515074l_bool(Pa,Ax),Ay)))))) # label(fact_609_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 722 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member1999287380t_char(hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Ax),Ay)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Bx),By)),transi198989188t_char(R_1))) -> (hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(Pa,Bx),By)) -> ((all A_2 all B_1 all Aa all Ba (hBOOL(member1999287380t_char(hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_2),B_1)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Aa),Ba)),R_1)) -> (hBOOL(member1999287380t_char(hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Aa),Ba)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Bx),By)),transi198989188t_char(R_1))) -> (hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(Pa,A_2),B_1)))))) -> hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(Pa,Ax),Ay)))))) # label(fact_610_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 723 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member794220506t_char(hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Ax),Ay)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Bx),By)),transi1095029602t_char(R_1))) -> (hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,Bx),By)) -> ((all A_2 all B_1 all Aa all Ba (hBOOL(member794220506t_char(hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_2),B_1)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Aa),Ba)),R_1)) -> (hBOOL(member794220506t_char(hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Aa),Ba)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Bx),By)),transi1095029602t_char(R_1))) -> (hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,A_2),B_1)))))) -> hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,Ax),Ay)))))) # label(fact_611_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 724 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member837208074al_val(hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Ax),Ay)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Bx),By)),transi1423755450al_val(R_1))) -> (hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(Pa,Bx),By)) -> ((all A_2 all B_1 all Aa all Ba (hBOOL(member837208074al_val(hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_2),B_1)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Aa),Ba)),R_1)) -> (hBOOL(member837208074al_val(hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Aa),Ba)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Bx),By)),transi1423755450al_val(R_1))) -> (hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(Pa,A_2),B_1)))))) -> hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(Pa,Ax),Ay)))))) # label(fact_612_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 725 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member1732271180al_val(hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Ax),Ay)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Bx),By)),transi1906258203al_val(R_1))) -> (hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,Bx),By)) -> ((all A_2 all B_1 all Aa all Ba (is_bop(A_2) & is_bop(Aa) -> (hBOOL(member1732271180al_val(hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_2),B_1)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Aa),Ba)),R_1)) -> (hBOOL(member1732271180al_val(hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Aa),Ba)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Bx),By)),transi1906258203al_val(R_1))) -> (hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,A_2),B_1))))))) -> hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,Ax),Ay)))))) # label(fact_613_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 726 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member88670778on_val(hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Ax),Ay)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Bx),By)),transi208336786on_val(R_1))) -> (hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Bx),By)) -> ((all A_2 all B_1 all Aa all Ba (hBOOL(member88670778on_val(hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_2),B_1)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Aa),Ba)),R_1)) -> (hBOOL(member88670778on_val(hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Aa),Ba)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Bx),By)),transi208336786on_val(R_1))) -> (hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,A_2),B_1)))))) -> hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Ax),Ay)))))) # label(fact_614_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 727 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member1322055188on_val(hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Ax),Ay)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Bx),By)),transi61620055on_val(R_1))) -> (hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,Bx),By)) -> ((all A_2 all B_1 all Aa all Ba (hBOOL(member1322055188on_val(hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_2),B_1)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Aa),Ba)),R_1)) -> (hBOOL(member1322055188on_val(hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Aa),Ba)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Bx),By)),transi61620055on_val(R_1))) -> (hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,A_2),B_1)))))) -> hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,Ax),Ay)))))) # label(fact_615_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 728 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member808015754on_val(hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Ax),Ay)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Bx),By)),transi910771962on_val(R_1))) -> (hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Bx),By)) -> ((all A_2 all B_1 all Aa all Ba (hBOOL(member808015754on_val(hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_2),B_1)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Aa),Ba)),R_1)) -> (hBOOL(member808015754on_val(hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Aa),Ba)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Bx),By)),transi910771962on_val(R_1))) -> (hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,A_2),B_1)))))) -> hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Ax),Ay)))))) # label(fact_616_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 729 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member563141460on_val(hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ax),Ay)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Bx),By)),transi921647814on_val(R_1))) -> (hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Bx),By)) -> ((all A_2 all B_1 all Aa all Ba (hBOOL(member563141460on_val(hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_2),B_1)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Aa),Ba)),R_1)) -> (hBOOL(member563141460on_val(hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Aa),Ba)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Bx),By)),transi921647814on_val(R_1))) -> (hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,A_2),B_1)))))) -> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Ax),Ay)))))) # label(fact_617_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 730 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member1161907014t_char(hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Ax),Ay)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Bx),By)),transi1789604888t_char(R_1))) -> (hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,Bx),By)) -> ((all A_2 all B_1 all Aa all Ba (hBOOL(member1161907014t_char(hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_2),B_1)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Aa),Ba)),R_1)) -> (hBOOL(member1161907014t_char(hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Aa),Ba)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Bx),By)),transi1789604888t_char(R_1))) -> (hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,A_2),B_1)))))) -> hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,Ax),Ay)))))) # label(fact_618_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 731 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member125098544t_char(hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ax),Ay)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Bx),By)),transi1257872013t_char(R_1))) -> (hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,Bx),By)) -> ((all A_2 all B_1 all Aa all Ba (hBOOL(member125098544t_char(hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_2),B_1)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Aa),Ba)),R_1)) -> (hBOOL(member125098544t_char(hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Aa),Ba)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Bx),By)),transi1257872013t_char(R_1))) -> (hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,A_2),B_1)))))) -> hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,Ax),Ay)))))) # label(fact_619_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 732 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member1420286996t_char(hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Ax),Ay)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Bx),By)),transi122195895t_char(R_1))) -> (hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,Bx),By)) -> ((all A_2 all B_1 all Aa all Ba (hBOOL(member1420286996t_char(hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_2),B_1)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Aa),Ba)),R_1)) -> (hBOOL(member1420286996t_char(hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Aa),Ba)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Bx),By)),transi122195895t_char(R_1))) -> (hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,A_2),B_1)))))) -> hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,Ax),Ay)))))) # label(fact_620_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 733 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Ax),Ay)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Bx),By)),transi374442731on_val(R_1))) -> (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Ax),Ay)) -> ((all A_2 all B_1 all Aa all Ba (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Ax),Ay)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_2),B_1)),transi374442731on_val(R_1))) -> (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_2),B_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Aa),Ba)),R_1)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,A_2),B_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Bx),By)))))) # label(fact_621_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 734 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ax),Ay)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Bx),By)),transi2024712006on_val(R_1))) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Ax),Ay)) -> ((all A_2 all B_1 all Aa all Ba (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ax),Ay)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_2),B_1)),transi2024712006on_val(R_1))) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_2),B_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Aa),Ba)),R_1)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,A_2),B_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Bx),By)))))) # label(fact_622_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 735 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member619264020ar_val(hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,Ax),Ay)),hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,Bx),By)),transi1600669663ar_val(R_1))) -> (hBOOL(hAPP_val_bool(hAPP_P486515074l_bool(Pa,Ax),Ay)) -> ((all A_2 all B_1 all Aa all Ba (hBOOL(member619264020ar_val(hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,Ax),Ay)),hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A_2),B_1)),transi1600669663ar_val(R_1))) -> (hBOOL(member619264020ar_val(hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A_2),B_1)),hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,Aa),Ba)),R_1)) -> (hBOOL(hAPP_val_bool(hAPP_P486515074l_bool(Pa,A_2),B_1)) -> hBOOL(hAPP_val_bool(hAPP_P486515074l_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_val_bool(hAPP_P486515074l_bool(Pa,Bx),By)))))) # label(fact_623_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 736 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member1999287380t_char(hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Ax),Ay)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Bx),By)),transi198989188t_char(R_1))) -> (hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(Pa,Ax),Ay)) -> ((all A_2 all B_1 all Aa all Ba (hBOOL(member1999287380t_char(hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Ax),Ay)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_2),B_1)),transi198989188t_char(R_1))) -> (hBOOL(member1999287380t_char(hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_2),B_1)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Aa),Ba)),R_1)) -> (hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(Pa,A_2),B_1)) -> hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(Pa,Bx),By)))))) # label(fact_624_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 737 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member794220506t_char(hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Ax),Ay)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Bx),By)),transi1095029602t_char(R_1))) -> (hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,Ax),Ay)) -> ((all A_2 all B_1 all Aa all Ba (hBOOL(member794220506t_char(hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Ax),Ay)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_2),B_1)),transi1095029602t_char(R_1))) -> (hBOOL(member794220506t_char(hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_2),B_1)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Aa),Ba)),R_1)) -> (hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,A_2),B_1)) -> hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,Bx),By)))))) # label(fact_625_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 738 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member837208074al_val(hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Ax),Ay)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Bx),By)),transi1423755450al_val(R_1))) -> (hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(Pa,Ax),Ay)) -> ((all A_2 all B_1 all Aa all Ba (hBOOL(member837208074al_val(hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Ax),Ay)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_2),B_1)),transi1423755450al_val(R_1))) -> (hBOOL(member837208074al_val(hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_2),B_1)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Aa),Ba)),R_1)) -> (hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(Pa,A_2),B_1)) -> hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(Pa,Bx),By)))))) # label(fact_626_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 739 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member1732271180al_val(hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Ax),Ay)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Bx),By)),transi1906258203al_val(R_1))) -> (hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,Ax),Ay)) -> ((all A_2 all B_1 all Aa all Ba (is_bop(A_2) & is_bop(Aa) -> (hBOOL(member1732271180al_val(hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Ax),Ay)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_2),B_1)),transi1906258203al_val(R_1))) -> (hBOOL(member1732271180al_val(hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_2),B_1)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Aa),Ba)),R_1)) -> (hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,A_2),B_1)) -> hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,Aa),Ba))))))) -> hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,Bx),By)))))) # label(fact_627_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 740 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member88670778on_val(hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Ax),Ay)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Bx),By)),transi208336786on_val(R_1))) -> (hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Ax),Ay)) -> ((all A_2 all B_1 all Aa all Ba (hBOOL(member88670778on_val(hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Ax),Ay)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_2),B_1)),transi208336786on_val(R_1))) -> (hBOOL(member88670778on_val(hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_2),B_1)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Aa),Ba)),R_1)) -> (hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,A_2),B_1)) -> hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Bx),By)))))) # label(fact_628_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 741 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member1322055188on_val(hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Ax),Ay)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Bx),By)),transi61620055on_val(R_1))) -> (hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,Ax),Ay)) -> ((all A_2 all B_1 all Aa all Ba (hBOOL(member1322055188on_val(hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Ax),Ay)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_2),B_1)),transi61620055on_val(R_1))) -> (hBOOL(member1322055188on_val(hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_2),B_1)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Aa),Ba)),R_1)) -> (hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,A_2),B_1)) -> hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,Bx),By)))))) # label(fact_629_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 742 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member808015754on_val(hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Ax),Ay)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Bx),By)),transi910771962on_val(R_1))) -> (hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Ax),Ay)) -> ((all A_2 all B_1 all Aa all Ba (hBOOL(member808015754on_val(hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Ax),Ay)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_2),B_1)),transi910771962on_val(R_1))) -> (hBOOL(member808015754on_val(hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_2),B_1)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Aa),Ba)),R_1)) -> (hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,A_2),B_1)) -> hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Bx),By)))))) # label(fact_630_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 743 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member563141460on_val(hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ax),Ay)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Bx),By)),transi921647814on_val(R_1))) -> (hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Ax),Ay)) -> ((all A_2 all B_1 all Aa all Ba (hBOOL(member563141460on_val(hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ax),Ay)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_2),B_1)),transi921647814on_val(R_1))) -> (hBOOL(member563141460on_val(hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_2),B_1)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Aa),Ba)),R_1)) -> (hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,A_2),B_1)) -> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Bx),By)))))) # label(fact_631_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 744 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member1161907014t_char(hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Ax),Ay)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Bx),By)),transi1789604888t_char(R_1))) -> (hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,Ax),Ay)) -> ((all A_2 all B_1 all Aa all Ba (hBOOL(member1161907014t_char(hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Ax),Ay)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_2),B_1)),transi1789604888t_char(R_1))) -> (hBOOL(member1161907014t_char(hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_2),B_1)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Aa),Ba)),R_1)) -> (hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,A_2),B_1)) -> hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,Bx),By)))))) # label(fact_632_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 745 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member125098544t_char(hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ax),Ay)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Bx),By)),transi1257872013t_char(R_1))) -> (hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,Ax),Ay)) -> ((all A_2 all B_1 all Aa all Ba (hBOOL(member125098544t_char(hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ax),Ay)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_2),B_1)),transi1257872013t_char(R_1))) -> (hBOOL(member125098544t_char(hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_2),B_1)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Aa),Ba)),R_1)) -> (hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,A_2),B_1)) -> hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,Bx),By)))))) # label(fact_633_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 746 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member1420286996t_char(hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Ax),Ay)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Bx),By)),transi122195895t_char(R_1))) -> (hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,Ax),Ay)) -> ((all A_2 all B_1 all Aa all Ba (hBOOL(member1420286996t_char(hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Ax),Ay)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_2),B_1)),transi122195895t_char(R_1))) -> (hBOOL(member1420286996t_char(hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_2),B_1)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Aa),Ba)),R_1)) -> (hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,A_2),B_1)) -> hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,Bx),By)))))) # label(fact_634_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 747 (all A_1 all B all R_1 (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B),transi1395422419t_char(R_1))) -> (A_1 != B -> -(all Y_2 (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),Y_2),transi1395422419t_char(R_1))) -> -hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Y_2),B),R_1))))))) # label(fact_635_rtranclE) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 748 (all A_1 all B all R_1 (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B),transi374442731on_val(R_1))) -> (A_1 != B -> -(all Y_2 (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),Y_2),transi374442731on_val(R_1))) -> -hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Y_2),B),R_1))))))) # label(fact_636_rtranclE) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 749 (all A_1 all B all R_1 (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B),transi2024712006on_val(R_1))) -> (A_1 != B -> -(all Y_2 (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),Y_2),transi2024712006on_val(R_1))) -> -hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Y_2),B),R_1))))))) # label(fact_637_rtranclE) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 750 (all A_1 all B all R_1 (hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B),transi935034983cl_val(R_1))) -> (A_1 != B -> -(all Y_2 (hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),Y_2),transi935034983cl_val(R_1))) -> -hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Y_2),B),R_1))))))) # label(fact_638_rtranclE) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 751 (all X_2 all Z_1 all R_1 (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,X_2),Z_1),transi1395422419t_char(R_1))) -> (X_2 != Z_1 -> -(all Y_2 (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,X_2),Y_2),R_1)) -> -hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Y_2),Z_1),transi1395422419t_char(R_1)))))))) # label(fact_639_converse__rtranclE) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 752 (all X_2 all Z_1 all R_1 (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,X_2),Z_1),transi374442731on_val(R_1))) -> (X_2 != Z_1 -> -(all Y_2 (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,X_2),Y_2),R_1)) -> -hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Y_2),Z_1),transi374442731on_val(R_1)))))))) # label(fact_640_converse__rtranclE) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 753 (all X_2 all Z_1 all R_1 (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X_2),Z_1),transi2024712006on_val(R_1))) -> (X_2 != Z_1 -> -(all Y_2 (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X_2),Y_2),R_1)) -> -hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Y_2),Z_1),transi2024712006on_val(R_1)))))))) # label(fact_641_converse__rtranclE) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 754 (all X_2 all Z_1 all R_1 (hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,X_2),Z_1),transi935034983cl_val(R_1))) -> (X_2 != Z_1 -> -(all Y_2 (hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,X_2),Y_2),R_1)) -> -hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Y_2),Z_1),transi935034983cl_val(R_1)))))))) # label(fact_642_converse__rtranclE) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 755 (all X_2 all A_16 (hBOOL(member_nat(X_2,A_16)) <-> hBOOL(hAPP_nat_bool(A_16,X_2)))) # label(fact_643_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 756 (all X_2 all A_16 (hBOOL(member_list_char(X_2,A_16)) <-> hBOOL(hAPP_list_char_bool(A_16,X_2)))) # label(fact_644_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 757 (all X_2 all A_16 (hBOOL(member1251428284t_char(X_2,A_16)) <-> hBOOL(hAPP_P449474095r_bool(A_16,X_2)))) # label(fact_645_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 758 (all X_2 all A_16 (hBOOL(member875476972on_val(X_2,A_16)) <-> hBOOL(hAPP_P1333315679l_bool(A_16,X_2)))) # label(fact_646_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 759 (all X_2 all A_16 (hBOOL(member773094996on_val(X_2,A_16)) <-> hBOOL(hAPP_P282169671l_bool(A_16,X_2)))) # label(fact_647_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 760 (all Pa all A_1 all B all R_1 (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B),transi1395422419t_char(R_1))) -> (hBOOL(hAPP_list_char_bool(Pa,B)) -> ((all Y_2 all Z (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Y_2),Z),R_1)) -> (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Z),B),transi1395422419t_char(R_1))) -> (hBOOL(hAPP_list_char_bool(Pa,Z)) -> hBOOL(hAPP_list_char_bool(Pa,Y_2)))))) -> hBOOL(hAPP_list_char_bool(Pa,A_1)))))) # label(fact_648_converse__rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 761 (all Pa all A_1 all B all R_1 (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B),transi374442731on_val(R_1))) -> (hBOOL(hAPP_P71593144l_bool(Pa,B)) -> ((all Y_2 all Z (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Y_2),Z),R_1)) -> (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Z),B),transi374442731on_val(R_1))) -> (hBOOL(hAPP_P71593144l_bool(Pa,Z)) -> hBOOL(hAPP_P71593144l_bool(Pa,Y_2)))))) -> hBOOL(hAPP_P71593144l_bool(Pa,A_1)))))) # label(fact_649_converse__rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 762 (all Pa all A_1 all B all R_1 (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B),transi2024712006on_val(R_1))) -> (hBOOL(hAPP_P1708370145l_bool(Pa,B)) -> ((all Y_2 all Z (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Y_2),Z),R_1)) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Z),B),transi2024712006on_val(R_1))) -> (hBOOL(hAPP_P1708370145l_bool(Pa,Z)) -> hBOOL(hAPP_P1708370145l_bool(Pa,Y_2)))))) -> hBOOL(hAPP_P1708370145l_bool(Pa,A_1)))))) # label(fact_650_converse__rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 763 (all Pa all A_1 all B all R_1 (hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B),transi935034983cl_val(R_1))) -> (hBOOL(hAPP_val_bool(Pa,B)) -> ((all Y_2 all Z (hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Y_2),Z),R_1)) -> (hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Z),B),transi935034983cl_val(R_1))) -> (hBOOL(hAPP_val_bool(Pa,Z)) -> hBOOL(hAPP_val_bool(Pa,Y_2)))))) -> hBOOL(hAPP_val_bool(Pa,A_1)))))) # label(fact_651_converse__rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 764 (all Pa all A_1 all B all R_1 (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B),transi1395422419t_char(R_1))) -> (hBOOL(hAPP_list_char_bool(Pa,A_1)) -> ((all Y_2 all Z (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),Y_2),transi1395422419t_char(R_1))) -> (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Y_2),Z),R_1)) -> (hBOOL(hAPP_list_char_bool(Pa,Y_2)) -> hBOOL(hAPP_list_char_bool(Pa,Z)))))) -> hBOOL(hAPP_list_char_bool(Pa,B)))))) # label(fact_652_rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 765 (all Pa all A_1 all B all R_1 (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B),transi374442731on_val(R_1))) -> (hBOOL(hAPP_P71593144l_bool(Pa,A_1)) -> ((all Y_2 all Z (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),Y_2),transi374442731on_val(R_1))) -> (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Y_2),Z),R_1)) -> (hBOOL(hAPP_P71593144l_bool(Pa,Y_2)) -> hBOOL(hAPP_P71593144l_bool(Pa,Z)))))) -> hBOOL(hAPP_P71593144l_bool(Pa,B)))))) # label(fact_653_rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 766 (all Pa all A_1 all B all R_1 (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B),transi2024712006on_val(R_1))) -> (hBOOL(hAPP_P1708370145l_bool(Pa,A_1)) -> ((all Y_2 all Z (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),Y_2),transi2024712006on_val(R_1))) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Y_2),Z),R_1)) -> (hBOOL(hAPP_P1708370145l_bool(Pa,Y_2)) -> hBOOL(hAPP_P1708370145l_bool(Pa,Z)))))) -> hBOOL(hAPP_P1708370145l_bool(Pa,B)))))) # label(fact_654_rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 767 (all Pa all A_1 all B all R_1 (hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B),transi935034983cl_val(R_1))) -> (hBOOL(hAPP_val_bool(Pa,A_1)) -> ((all Y_2 all Z (hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),Y_2),transi935034983cl_val(R_1))) -> (hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Y_2),Z),R_1)) -> (hBOOL(hAPP_val_bool(Pa,Y_2)) -> hBOOL(hAPP_val_bool(Pa,Z)))))) -> hBOOL(hAPP_val_bool(Pa,B)))))) # label(fact_655_rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 768 (all L_5 all Ea all Ha all L_1 all E all H all L all Pa all Vsa all Vsa_1 all Tsa (hAPP_l66428094ar_nat(size_s2113983095t_char,Vsa_1) = hAPP_list_ty_nat(size_size_list_ty,Tsa) -> (hAPP_list_val_nat(size_size_list_val,Vsa) = hAPP_list_ty_nat(size_size_list_ty,Tsa) -> (hBOOL(distinct_list_char(Vsa_1)) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),map_up1085636310ar_val(L_1,Vsa_1,Vsa)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L))),transi2024712006on_val(red(Pa)))) -> (hBOOL(final_list_char(E)) -> (L_5 = overri2012515291on_val(L,L_1,set_list_char(Vsa_1)) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Vsa_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Tsa),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Vsa),Ea))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L_5))),transi2024712006on_val(red(Pa))))))))))) # label(fact_656_blocksRedsFinal) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 769 (all L_0 all Ea all Ha all L_1 all E all H all L all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L))),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),map_ad325961431ar_val(L_0,L_1)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),map_ad325961431ar_val(L_0,L)))),transi2024712006on_val(red(Pa)))))) # label(fact_657_Red__lcl__add) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 770 (all F_1 all Xs all G (hAPP_l608137480ar_val(map_Pr1153581243ar_val(F_1),Xs) = hAPP_l608137480ar_val(map_Pr1153581243ar_val(G),Xs) <-> (all X_1 (hBOOL(member1783291580har_ty(X_1,set_Pr1831523898har_ty(Xs))) -> hAPP_P841862366ar_val(F_1,X_1) = hAPP_P841862366ar_val(G,X_1))))) # label(fact_658_map__eq__conv) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 771 (all F_1 all Xs all G (hAPP_l1892737211st_val(map_list_char_val(F_1),Xs) = hAPP_l1892737211st_val(map_list_char_val(G),Xs) <-> (all X_1 (hBOOL(member_list_char(X_1,set_list_char(Xs))) -> hAPP_list_char_val(F_1,X_1) = hAPP_list_char_val(G,X_1))))) # label(fact_659_map__eq__conv) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 772 (all F_1 all Xs all G (hAPP_l732421366t_char(map_va1934808527t_char(F_1),Xs) = hAPP_l732421366t_char(map_va1934808527t_char(G),Xs) <-> (all X_1 (hBOOL(member_val(X_1,set_val(Xs))) -> hAPP_v834067052t_char(F_1,X_1) = hAPP_v834067052t_char(G,X_1))))) # label(fact_660_map__eq__conv) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 773 (all F_1 all Xs all G (hAPP_l1487035934ion_ty(map_ty_option_ty(F_1),Xs) = hAPP_l1487035934ion_ty(map_ty_option_ty(G),Xs) <-> (all X_1 (hBOOL(member_ty(X_1,set_ty(Xs))) -> hAPP_ty_option_ty(F_1,X_1) = hAPP_ty_option_ty(G,X_1))))) # label(fact_661_map__eq__conv) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 774 (all F_1 all Xs all G (hAPP_l2006940821ion_ty(map_val_option_ty(F_1),Xs) = hAPP_l2006940821ion_ty(map_val_option_ty(G),Xs) <-> (all X_1 (hBOOL(member_val(X_1,set_val(Xs))) -> hAPP_val_option_ty(F_1,X_1) = hAPP_val_option_ty(G,X_1))))) # label(fact_662_map__eq__conv) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 775 (all L_0 all Ea all Ha all L_1 all E all H all L all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L))),red(Pa))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),map_ad325961431ar_val(L_0,L_1)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),map_ad325961431ar_val(L_0,L)))),red(Pa))))) # label(fact_663_red__lcl__add) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 776 (all Ea all Ha all L_1 all E all H all L all Pa all Vsa all Vsa_1 all Tsa (hAPP_l66428094ar_nat(size_s2113983095t_char,Vsa_1) = hAPP_list_ty_nat(size_size_list_ty,Tsa) -> (hAPP_list_val_nat(size_size_list_val,Vsa) = hAPP_list_ty_nat(size_size_list_ty,Tsa) -> (hBOOL(distinct_list_char(Vsa_1)) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),map_up1085636310ar_val(L_1,Vsa_1,Vsa)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L))),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Vsa_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Tsa),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Vsa),Ea))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Vsa_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Tsa),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,hAPP_l1892737211st_val(map_list_char_val(comp_o1129292306t_char(the_val,L)),Vsa_1)),E))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),overri2012515291on_val(L,L_1,set_list_char(Vsa_1))))),transi2024712006on_val(red(Pa))))))))) # label(fact_664_blocksReds) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 777 (all F_1 all G all Xs all Ys (Xs = Ys -> ((all X_1 (hBOOL(member1783291580har_ty(X_1,set_Pr1831523898har_ty(Ys))) -> hAPP_P841862366ar_val(F_1,X_1) = hAPP_P841862366ar_val(G,X_1))) -> hAPP_l608137480ar_val(map_Pr1153581243ar_val(F_1),Xs) = hAPP_l608137480ar_val(map_Pr1153581243ar_val(G),Ys)))) # label(fact_665_map__cong) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 778 (all F_1 all G all Xs all Ys (Xs = Ys -> ((all X_1 (hBOOL(member_list_char(X_1,set_list_char(Ys))) -> hAPP_list_char_val(F_1,X_1) = hAPP_list_char_val(G,X_1))) -> hAPP_l1892737211st_val(map_list_char_val(F_1),Xs) = hAPP_l1892737211st_val(map_list_char_val(G),Ys)))) # label(fact_666_map__cong) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 779 (all F_1 all G all Xs all Ys (Xs = Ys -> ((all X_1 (hBOOL(member_val(X_1,set_val(Ys))) -> hAPP_v834067052t_char(F_1,X_1) = hAPP_v834067052t_char(G,X_1))) -> hAPP_l732421366t_char(map_va1934808527t_char(F_1),Xs) = hAPP_l732421366t_char(map_va1934808527t_char(G),Ys)))) # label(fact_667_map__cong) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 780 (all F_1 all G all Xs all Ys (Xs = Ys -> ((all X_1 (hBOOL(member_ty(X_1,set_ty(Ys))) -> hAPP_ty_option_ty(F_1,X_1) = hAPP_ty_option_ty(G,X_1))) -> hAPP_l1487035934ion_ty(map_ty_option_ty(F_1),Xs) = hAPP_l1487035934ion_ty(map_ty_option_ty(G),Ys)))) # label(fact_668_map__cong) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 781 (all F_1 all G all Xs all Ys (Xs = Ys -> ((all X_1 (hBOOL(member_val(X_1,set_val(Ys))) -> hAPP_val_option_ty(F_1,X_1) = hAPP_val_option_ty(G,X_1))) -> hAPP_l2006940821ion_ty(map_val_option_ty(F_1),Xs) = hAPP_l2006940821ion_ty(map_val_option_ty(G),Ys)))) # label(fact_669_map__cong) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 782 (all F_1 all Xs ((all X_1 (hBOOL(member_list_char(X_1,set_list_char(Xs))) -> hAPP_l1074208899t_char(F_1,X_1) = X_1)) -> hAPP_l407174677t_char(map_li1333403488t_char(F_1),Xs) = Xs)) # label(fact_670_map__idI) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 783 (all F_1 all Xs ((all X_1 (hBOOL(member_nat(X_1,set_nat(Xs))) -> hAPP_nat_nat(F_1,X_1) = X_1)) -> hAPP_l248265089st_nat(map_nat_nat(F_1),Xs) = Xs)) # label(fact_671_map__idI) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 784 (all F_1 all Xs ((all X_1 (hBOOL(member1251428284t_char(X_1,set_Pr550895038t_char(Xs))) -> hAPP_P760138657t_char(F_1,X_1) = X_1)) -> hAPP_l250787541t_char(map_Pr361633150t_char(F_1),Xs) = Xs)) # label(fact_672_map__idI) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 785 (all F_1 all Xs ((all X_1 (hBOOL(member875476972on_val(X_1,set_Pr771975662on_val(Xs))) -> hAPP_P1439304705on_val(F_1,X_1) = X_1)) -> hAPP_l1208602837on_val(map_Pr1729094110on_val(F_1),Xs) = Xs)) # label(fact_673_map__idI) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 786 (all F_1 all Xs ((all X_1 (hBOOL(member773094996on_val(X_1,set_Pr1921835862on_val(Xs))) -> hAPP_P918220497on_val(F_1,X_1) = X_1)) -> hAPP_l1695428693on_val(map_Pr1655409582on_val(F_1),Xs) = Xs)) # label(fact_674_map__idI) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 787 (all F_1 all G all Xs ((all X_1 (hBOOL(member1783291580har_ty(X_1,set_Pr1831523898har_ty(Xs))) -> hAPP_P841862366ar_val(F_1,X_1) = hAPP_P841862366ar_val(G,X_1))) -> hAPP_l608137480ar_val(map_Pr1153581243ar_val(F_1),Xs) = hAPP_l608137480ar_val(map_Pr1153581243ar_val(G),Xs))) # label(fact_675_map__ext) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 788 (all F_1 all G all Xs ((all X_1 (hBOOL(member_list_char(X_1,set_list_char(Xs))) -> hAPP_list_char_val(F_1,X_1) = hAPP_list_char_val(G,X_1))) -> hAPP_l1892737211st_val(map_list_char_val(F_1),Xs) = hAPP_l1892737211st_val(map_list_char_val(G),Xs))) # label(fact_676_map__ext) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 789 (all F_1 all G all Xs ((all X_1 (hBOOL(member_val(X_1,set_val(Xs))) -> hAPP_v834067052t_char(F_1,X_1) = hAPP_v834067052t_char(G,X_1))) -> hAPP_l732421366t_char(map_va1934808527t_char(F_1),Xs) = hAPP_l732421366t_char(map_va1934808527t_char(G),Xs))) # label(fact_677_map__ext) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 790 (all F_1 all G all Xs ((all X_1 (hBOOL(member_ty(X_1,set_ty(Xs))) -> hAPP_ty_option_ty(F_1,X_1) = hAPP_ty_option_ty(G,X_1))) -> hAPP_l1487035934ion_ty(map_ty_option_ty(F_1),Xs) = hAPP_l1487035934ion_ty(map_ty_option_ty(G),Xs))) # label(fact_678_map__ext) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 791 (all F_1 all G all Xs ((all X_1 (hBOOL(member_val(X_1,set_val(Xs))) -> hAPP_val_option_ty(F_1,X_1) = hAPP_val_option_ty(G,X_1))) -> hAPP_l2006940821ion_ty(map_val_option_ty(F_1),Xs) = hAPP_l2006940821ion_ty(map_val_option_ty(G),Xs))) # label(fact_679_map__ext) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 792 (all Ys all F_1 ((exists Xs_7 Ys = hAPP_l608137480ar_val(map_Pr1153581243ar_val(F_1),Xs_7)) <-> (all X_1 (hBOOL(member806854661ar_val(X_1,set_Pr309835907ar_val(Ys))) -> (exists Xa X_1 = hAPP_P841862366ar_val(F_1,Xa)))))) # label(fact_680_ex__map__conv) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 793 (all Ys all F_1 ((exists Xs_7 Ys = hAPP_l1892737211st_val(map_list_char_val(F_1),Xs_7)) <-> (all X_1 (hBOOL(member_val(X_1,set_val(Ys))) -> (exists Xa X_1 = hAPP_list_char_val(F_1,Xa)))))) # label(fact_681_ex__map__conv) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 794 (all Ys all F_1 ((exists Xs_7 Ys = hAPP_l732421366t_char(map_va1934808527t_char(F_1),Xs_7)) <-> (all X_1 (hBOOL(member_exp_list_char(X_1,set_exp_list_char(Ys))) -> (exists Xa X_1 = hAPP_v834067052t_char(F_1,Xa)))))) # label(fact_682_ex__map__conv) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 795 (all Ys all F_1 ((exists Xs_7 Ys = hAPP_l1487035934ion_ty(map_ty_option_ty(F_1),Xs_7)) <-> (all X_1 (hBOOL(member_option_ty(X_1,set_option_ty(Ys))) -> (exists Xa X_1 = hAPP_ty_option_ty(F_1,Xa)))))) # label(fact_683_ex__map__conv) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 796 (all Ys all F_1 ((exists Xs_7 Ys = hAPP_l2006940821ion_ty(map_val_option_ty(F_1),Xs_7)) <-> (all X_1 (hBOOL(member_option_ty(X_1,set_option_ty(Ys))) -> (exists Xa X_1 = hAPP_val_option_ty(F_1,Xa)))))) # label(fact_684_ex__map__conv) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 797 (all M1 all M2 all Xs all Ys map_ad325961431ar_val(M1,map_up1085636310ar_val(M2,Xs,Ys)) = map_up1085636310ar_val(map_ad325961431ar_val(M1,M2),Xs,Ys)) # label(fact_685_map__add__upds) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 798 (all M1 all M2 all Xs all Ys map_add_list_char_ty(M1,map_up891053837har_ty(M2,Xs,Ys)) = map_up891053837har_ty(map_add_list_char_ty(M1,M2),Xs,Ys)) # label(fact_686_map__add__upds) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 799 (all F_1 all Ys all X_2 all Xs (-hBOOL(member_list_char(X_2,set_list_char(Xs))) -> hAPP_l207779698on_val(map_up1085636310ar_val(F_1,Xs,Ys),X_2) = hAPP_l207779698on_val(F_1,X_2))) # label(fact_687_map__upds__apply__nontin) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 800 (all F_1 all Ys all X_2 all Xs (-hBOOL(member_list_char(X_2,set_list_char(Xs))) -> hAPP_l512744617ion_ty(map_up891053837har_ty(F_1,Xs,Ys),X_2) = hAPP_l512744617ion_ty(F_1,X_2))) # label(fact_688_map__upds__apply__nontin) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 801 (all M_1 all N all K all Xx (hAPP_l207779698on_val(N,K) = hAPP_val_option_val(some_val,Xx) -> hAPP_l207779698on_val(map_ad325961431ar_val(M_1,N),K) = hAPP_val_option_val(some_val,Xx))) # label(fact_689_map__add__find__right) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 802 (all Ha all H (hBOOL(hext(Ha,H)) <-> (all A_2 all C_1 all Fs (hAPP_n546249108on_val(Ha,A_2) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C_1),Fs)) -> (exists Fs_3 hAPP_n546249108on_val(H,A_2) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C_1),Fs_3))))))) # label(fact_690_hext__def) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 803 (all A_1 all C all Fs_1 all Ha all H (hBOOL(hext(Ha,H)) -> (hAPP_n546249108on_val(Ha,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_1)) -> (exists Fs_3 hAPP_n546249108on_val(H,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_3)))))) # label(fact_691_hext__objD) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 804 (all F_1 all G comp_l347675690har_ty(map_li596218076on_val(F_1),map_li912744805ar_val(G)) = map_li1065623653on_val(comp_l424027617har_ty(F_1,G))) # label(fact_692_map__comp__map) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 805 (all F_1 all G comp_l1825390573t_char(map_option_val_val(F_1),map_li50976719on_val(G)) = map_list_char_val(comp_o1129292306t_char(F_1,G))) # label(fact_693_map__comp__map) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 806 (all F_1 all G comp_l347675690har_ty(map_li596218076on_val(F_1),map_li912744805ar_val(G)) = map_li1065623653on_val(comp_l424027617har_ty(F_1,G))) # label(fact_694_List_Omap_Ocomp) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 807 (all F_1 all G comp_l1825390573t_char(map_option_val_val(F_1),map_li50976719on_val(G)) = map_list_char_val(comp_o1129292306t_char(F_1,G))) # label(fact_695_List_Omap_Ocomp) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 808 (all F_1 all G all Xs hAPP_l1790629643on_val(map_li596218076on_val(F_1),hAPP_l823328606ar_val(map_li912744805ar_val(G),Xs)) = hAPP_l721971010on_val(map_li1065623653on_val(comp_l424027617har_ty(F_1,G)),Xs)) # label(fact_696_map__map) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 809 (all F_1 all G all Xs hAPP_l228474410st_val(map_option_val_val(F_1),hAPP_l297961988on_val(map_li50976719on_val(G),Xs)) = hAPP_l1892737211st_val(map_list_char_val(comp_o1129292306t_char(F_1,G)),Xs)) # label(fact_697_map__map) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 810 (all F_1 all G all List_2 hAPP_l1790629643on_val(map_li596218076on_val(F_1),hAPP_l823328606ar_val(map_li912744805ar_val(G),List_2)) = hAPP_l721971010on_val(map_li1065623653on_val(comp_l424027617har_ty(F_1,G)),List_2)) # label(fact_698_List_Omap_Ocompositionality) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 811 (all F_1 all G all List_2 hAPP_l228474410st_val(map_option_val_val(F_1),hAPP_l297961988on_val(map_li50976719on_val(G),List_2)) = hAPP_l1892737211st_val(map_list_char_val(comp_o1129292306t_char(F_1,G)),List_2)) # label(fact_699_List_Omap_Ocompositionality) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 812 (all X_2 hAPP_o1977518472on_val(the_Pr431167171on_val,hAPP_P1510515380on_val(some_P948696889on_val,X_2)) = X_2) # label(fact_700_the_Osimps) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 813 (all X_7 hAPP_option_val_val(the_val,hAPP_val_option_val(some_val,X_7)) = X_7) # label(fact_701_the_Osimps) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 814 (all X_7 hAPP_option_nat_nat(the_nat,hAPP_nat_option_nat(some_nat,X_7)) = X_7) # label(fact_702_the_Osimps) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 815 (all X_7 hAPP_option_ty_ty(the_ty,hAPP_ty_option_ty(some_ty,X_7)) = X_7) # label(fact_703_the_Osimps) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 816 (all M1 all M2 all M3 map_ad325961431ar_val(M1,map_ad325961431ar_val(M2,M3)) = map_ad325961431ar_val(map_ad325961431ar_val(M1,M2),M3)) # label(fact_704_map__add__assoc) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 817 (all H all Ha ((all A_2 all C_1 all Fs (hAPP_n546249108on_val(Ha,A_2) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C_1),Fs)) -> (exists Fs_3 hAPP_n546249108on_val(H,A_2) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C_1),Fs_3))))) -> hBOOL(hext(Ha,H)))) # label(fact_705_hextI) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 818 (all C all V_1 all E_2 all Ea all S_1 all V all S all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V)),S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(Ea,C,V_1,E_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V)),S)),transi2024712006on_val(red(Pa)))))) # label(fact_706_TryRedsVal) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 819 (all E_4 all Tsa all Es_1 all Ha all L_1 all Es all H all L all Pa (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L))),reds(Pa))) -> (hBOOL(wTrts_1(Pa,Ha,E_4,Es_1,Tsa)) -> (hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),Ha),L_1),E_4)) -> hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),H),L),E_4)))))) # label(fact_707_reds__preserves__lconf) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 820 (all E_4 all Tsa all Es_1 all Ha all L_1 all Es all H all L all Pa (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L))),reds(Pa))) -> (hBOOL(wTrts_1(Pa,Ha,E_4,Es_1,Tsa)) -> (hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),Ha)) -> hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),H)))))) # label(fact_708_reds__preserves__hconf) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 821 (all V all Bop all Ea all S_1 all E all S all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(hAPP_v834067052t_char(val_list_char,V),Bop,Ea)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(hAPP_v834067052t_char(val_list_char,V),Bop,E)),S)),transi2024712006on_val(red(Pa)))))) # label(fact_709_BinOp2Reds) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 822 (all V all F all D all Ea all S_1 all E all S all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,V),F,D,Ea)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,V),F,D,E)),S)),transi2024712006on_val(red(Pa)))))) # label(fact_710_FAssReds2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 823 (all E_2 all E_2_1 all S_2_1 all E_1 all S_0 all V_1_2 all S_1_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_1_2)),S_1_2)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S_1_2)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2_1),S_2_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(E_1,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2_1),S_2_1)),transi2024712006on_val(red(Pa))))))) # label(fact_711_SeqReds2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 824 (all F_1 all G all A_1 all A_16 (hBOOL(member_list_char(A_1,A_16)) -> hAPP_l207779698on_val(overri2012515291on_val(F_1,G,A_16),A_1) = hAPP_l207779698on_val(G,A_1))) # label(fact_712_override__on__apply__in) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 825 (all F_1 all G all A_1 all A_16 (-hBOOL(member_list_char(A_1,A_16)) -> hAPP_l207779698on_val(overri2012515291on_val(F_1,G,A_16),A_1) = hAPP_l207779698on_val(F_1,A_1))) # label(fact_713_override__on__apply__notin) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 826 (all F_1 all G all A_16 all X_1 ((hBOOL(member_list_char(X_1,A_16)) -> hAPP_l207779698on_val(overri2012515291on_val(F_1,G,A_16),X_1) = hAPP_l207779698on_val(G,X_1)) & (-hBOOL(member_list_char(X_1,A_16)) -> hAPP_l207779698on_val(overri2012515291on_val(F_1,G,A_16),X_1) = hAPP_l207779698on_val(F_1,X_1)))) # label(fact_714_override__on__def) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 827 (all E_2 all T_2_1 all Pa all Ha all E_4 all E_1 all T_1_1 (hBOOL(wTrt(Pa,Ha,E_4,E_1,T_1_1)) -> (hBOOL(wTrt(Pa,Ha,E_4,E_2,T_2_1)) -> hBOOL(wTrt(Pa,Ha,E_4,seq_list_char(E_1,E_2),T_2_1))))) # label(fact_715_WTrtSeq) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 828 (all E_1 all E_2 all S_2_1 all Pa all E_0 all S_0 all V all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_0,S_0),hAPP_v834067052t_char(val_list_char,V)),S_1_2)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_1_2),E_2),S_2_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,seq_list_char(E_0,E_1),S_0),E_2),S_2_1))))) # label(fact_716_Seq) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 829 (all C all V_1 all E_2 all Pa all E_1 all S_0 all V_1_2 all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),hAPP_v834067052t_char(val_list_char,V_1_2)),S_1_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,tryCatch_list_char(E_1,C,V_1,E_2),S_0),hAPP_v834067052t_char(val_list_char,V_1_2)),S_1_2)))) # label(fact_717_Try) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 830 (all E_2 all Ea all S_1 all E all S all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),red(Pa))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(Ea,E_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(E,E_2)),S)),red(Pa))))) # label(fact_718_red__reds_OSeqRed) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 831 (all F all D all E_2 all Ea all S_1 all E all S all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),red(Pa))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(Ea,F,D,E_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(E,F,D,E_2)),S)),red(Pa))))) # label(fact_719_red__reds_OFAssRed1) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 832 (all Bop all E_2 all Ea all S_1 all E all S all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),red(Pa))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(Ea,Bop,E_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(E,Bop,E_2)),S)),red(Pa))))) # label(fact_720_red__reds_OBinOpRed1) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 833 (all Es_1 all Ha all L_1 all Es all H all L all Pa (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L))),reds(Pa))) -> hBOOL(hext(Ha,H)))) # label(fact_721_reds__hext__incr) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 834 (all C all V_1 all E_2 all Ea all S_1 all E all S all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),red(Pa))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(Ea,C,V_1,E_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(E,C,V_1,E_2)),S)),red(Pa))))) # label(fact_722_red__reds_OTryRed) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 835 (all F_1 all G all X_1 hAPP_l968768258on_val(comp_l424027617har_ty(F_1,G),X_1) = hAPP_l1000746233on_val(F_1,hAPP_l608137480ar_val(G,X_1))) # label(fact_723_o__def) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 836 (all F_1 all G all X_1 hAPP_list_char_val(comp_o1129292306t_char(F_1,G),X_1) = hAPP_option_val_val(F_1,hAPP_l207779698on_val(G,X_1))) # label(fact_724_o__def) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 837 (all F_1 all G all X_2 hAPP_l968768258on_val(comp_l424027617har_ty(F_1,G),X_2) = hAPP_l1000746233on_val(F_1,hAPP_l608137480ar_val(G,X_2))) # label(fact_725_o__apply) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 838 (all F_1 all G all X_2 hAPP_list_char_val(comp_o1129292306t_char(F_1,G),X_2) = hAPP_option_val_val(F_1,hAPP_l207779698on_val(G,X_2))) # label(fact_726_o__apply) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 839 (all V all E_2 all S_1 all Pa hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(hAPP_v834067052t_char(val_list_char,V),E_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S_1)),red(Pa)))) # label(fact_727_red__reds_ORedSeq) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 840 (all E_2 all Ea all S_1 all E all S all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(Ea,E_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(E,E_2)),S)),transi2024712006on_val(red(Pa)))))) # label(fact_728_SeqReds) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 841 (all V all F all D all Ea all S_1 all E all S all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),red(Pa))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,V),F,D,Ea)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,V),F,D,E)),S)),red(Pa))))) # label(fact_729_red__reds_OFAssRed2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 842 (all V_1_2 all Bop all Ea all S_1 all E all S all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),red(Pa))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_2),Bop,Ea)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_2),Bop,E)),S)),red(Pa))))) # label(fact_730_red__reds_OBinOpRed2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 843 (all F all D all E_2 all Ea all S_1 all E all S all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(Ea,F,D,E_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(E,F,D,E_2)),S)),transi2024712006on_val(red(Pa)))))) # label(fact_731_FAssReds1) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 844 (all Bop all E_2 all Ea all S_1 all E all S all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(Ea,Bop,E_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(E,Bop,E_2)),S)),transi2024712006on_val(red(Pa)))))) # label(fact_732_BinOp1Reds) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 845 (all V all C all V_1 all E_2 all S_1 all Pa hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(hAPP_v834067052t_char(val_list_char,V),C,V_1,E_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V)),S_1)),red(Pa)))) # label(fact_733_red__reds_ORedTry) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 846 (all C all V_1 all E_2 all Ea all S_1 all E all S all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(Ea,C,V_1,E_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(E,C,V_1,E_2)),S)),transi2024712006on_val(red(Pa)))))) # label(fact_734_TryReds) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 847 (all Bop all V all E_2 all V_2 all S_2_1 all E_1 all S_0 all V_1_2 all S_1_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_1_2)),S_1_2)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S_1_2)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_2)),S_2_1)),transi2024712006on_val(red(Pa)))) -> (binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Bop),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,V_1_2),V_2))) = hAPP_val_option_val(some_val,V) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(E_1,Bop,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V)),S_2_1)),transi2024712006on_val(red(Pa)))))))) # label(fact_735_BinOpRedsVal) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 848 (all S_1 all Pa all Bop all V_1_2 all V_2 all V (binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Bop),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,V_1_2),V_2))) = hAPP_val_option_val(some_val,V) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_2),Bop,hAPP_v834067052t_char(val_list_char,V_2))),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V)),S_1)),red(Pa))))) # label(fact_736_red__reds_ORedBinOp) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 849 (all V all M all Es_1 all S_1 all Es all S all Pa (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_1),S_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es),S)),transi374442731on_val(reds(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,V),M,Es_1)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,V),M,Es)),S)),transi2024712006on_val(red(Pa)))))) # label(fact_737_CallRedsParams) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 850 (all Es_1 all Es all S_2_1 all Ea all S_0 all V all S_1_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V)),S_1_2)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_1),S_1_2)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es),S_2_1)),transi374442731on_val(reds(Pa)))) -> hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,hAPP_l2011456725t_char(cons_exp_list_char(Ea),Es_1)),S_0)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,hAPP_l2011456725t_char(cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V)),Es)),S_2_1)),transi374442731on_val(reds(Pa))))))) # label(fact_738_ListRedsVal) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 851 (all Exp1_49 all Bop_13 all Exp2_49 all Exp1_48 all List_14 all A_15 all Exp2_48 binOp_list_char(Exp1_49,Bop_13,Exp2_49) != tryCatch_list_char(Exp1_48,List_14,A_15,Exp2_48)) # label(fact_739_exp_Osimps_I114_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 852 (all Exp1_47 all List_13 all A_14 all Exp2_47 all Exp1_46 all Bop_12 all Exp2_46 tryCatch_list_char(Exp1_47,List_13,A_14,Exp2_47) != binOp_list_char(Exp1_46,Bop_12,Exp2_46)) # label(fact_740_exp_Osimps_I115_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 853 (all Exp1_45 all List1_25 all List2_25 all Exp2_45 all Exp1_44 all List_12 all A_13 all Exp2_44 fAss_list_char(Exp1_45,List1_25,List2_25,Exp2_45) != tryCatch_list_char(Exp1_44,List_12,A_13,Exp2_44)) # label(fact_741_exp_Osimps_I182_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 854 (all Exp1_43 all List_11 all A_12 all Exp2_43 all Exp1_42 all List1_24 all List2_24 all Exp2_42 tryCatch_list_char(Exp1_43,List_11,A_12,Exp2_43) != fAss_list_char(Exp1_42,List1_24,List2_24,Exp2_42)) # label(fact_742_exp_Osimps_I183_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 855 (all Exp1_41 all Exp2_41 all Exp1_40 all List_10 all A_11 all Exp2_40 seq_list_char(Exp1_41,Exp2_41) != tryCatch_list_char(Exp1_40,List_10,A_11,Exp2_40)) # label(fact_743_exp_Osimps_I212_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 856 (all Xs_6 all X_6 Xs_6 != hAPP_l273806049st_val(cons_val(X_6),Xs_6)) # label(fact_744_not__Cons__self) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 857 (all Xs_6 all X_6 Xs_6 != hAPP_l407174677t_char(cons_list_char(X_6),Xs_6)) # label(fact_745_not__Cons__self) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 858 (all Xs_6 all X_6 Xs_6 != hAPP_list_ty_list_ty(cons_ty(X_6),Xs_6)) # label(fact_746_not__Cons__self) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 859 (all Xs_6 all X_6 Xs_6 != hAPP_l2011456725t_char(cons_exp_list_char(X_6),Xs_6)) # label(fact_747_not__Cons__self) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 860 (all X_5 all Xs_5 hAPP_l273806049st_val(cons_val(X_5),Xs_5) != Xs_5) # label(fact_748_not__Cons__self2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 861 (all X_5 all Xs_5 hAPP_l407174677t_char(cons_list_char(X_5),Xs_5) != Xs_5) # label(fact_749_not__Cons__self2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 862 (all X_5 all Xs_5 hAPP_list_ty_list_ty(cons_ty(X_5),Xs_5) != Xs_5) # label(fact_750_not__Cons__self2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 863 (all X_5 all Xs_5 hAPP_l2011456725t_char(cons_exp_list_char(X_5),Xs_5) != Xs_5) # label(fact_751_not__Cons__self2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 864 (all A_1 all List_2 all A_8 all List_1 (hAPP_l273806049st_val(cons_val(A_1),List_2) = hAPP_l273806049st_val(cons_val(A_8),List_1) <-> A_1 = A_8 & List_2 = List_1)) # label(fact_752_list_Oinject) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 865 (all A_1 all List_2 all A_8 all List_1 (hAPP_l407174677t_char(cons_list_char(A_1),List_2) = hAPP_l407174677t_char(cons_list_char(A_8),List_1) <-> A_1 = A_8 & List_2 = List_1)) # label(fact_753_list_Oinject) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 866 (all A_1 all List_2 all A_8 all List_1 (hAPP_list_ty_list_ty(cons_ty(A_1),List_2) = hAPP_list_ty_list_ty(cons_ty(A_8),List_1) <-> A_1 = A_8 & List_2 = List_1)) # label(fact_754_list_Oinject) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 867 (all A_1 all List_2 all A_8 all List_1 (hAPP_l2011456725t_char(cons_exp_list_char(A_1),List_2) = hAPP_l2011456725t_char(cons_exp_list_char(A_8),List_1) <-> A_1 = A_8 & List_2 = List_1)) # label(fact_755_list_Oinject) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 868 (all Exp_15 all List1_11 all List2_11 all Exp_14 all List1_10 all List2_10 (call_list_char(Exp_15,List1_11,List2_11) = call_list_char(Exp_14,List1_10,List2_10) <-> Exp_15 = Exp_14 & List1_11 = List1_10 & List2_11 = List2_10)) # label(fact_756_exp_Osimps_I9_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 869 (all Exp_25 all List1_23 all List2_23 all Val_13 call_list_char(Exp_25,List1_23,List2_23) != hAPP_v834067052t_char(val_list_char,Val_13)) # label(fact_757_exp_Osimps_I81_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 870 (all Val_12 all Exp_24 all List1_22 all List2_22 hAPP_v834067052t_char(val_list_char,Val_12) != call_list_char(Exp_24,List1_22,List2_22)) # label(fact_758_exp_Osimps_I80_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 871 (all Exp_23 all List1_21 all List2_21 all Exp1_39 all Exp2_39 call_list_char(Exp_23,List1_21,List2_21) != seq_list_char(Exp1_39,Exp2_39)) # label(fact_759_exp_Osimps_I186_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 872 (all Exp1_38 all Exp2_38 all Exp_22 all List1_20 all List2_20 seq_list_char(Exp1_38,Exp2_38) != call_list_char(Exp_22,List1_20,List2_20)) # label(fact_760_exp_Osimps_I187_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 873 (all Exp1_37 all List1_19 all List2_19 all Exp2_37 all Exp_21 all List1_18 all List2_18 fAss_list_char(Exp1_37,List1_19,List2_19,Exp2_37) != call_list_char(Exp_21,List1_18,List2_18)) # label(fact_761_exp_Osimps_I170_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 874 (all Exp_20 all List1_17 all List2_17 all Exp1_36 all List1_16 all List2_16 all Exp2_36 call_list_char(Exp_20,List1_17,List2_17) != fAss_list_char(Exp1_36,List1_16,List2_16,Exp2_36)) # label(fact_762_exp_Osimps_I171_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 875 (all Exp1_35 all Bop_11 all Exp2_35 all Exp_19 all List1_15 all List2_15 binOp_list_char(Exp1_35,Bop_11,Exp2_35) != call_list_char(Exp_19,List1_15,List2_15)) # label(fact_763_exp_Osimps_I102_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 876 (all Exp_18 all List1_14 all List2_14 all Exp1_34 all Bop_10 all Exp2_34 call_list_char(Exp_18,List1_14,List2_14) != binOp_list_char(Exp1_34,Bop_10,Exp2_34)) # label(fact_764_exp_Osimps_I103_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 877 (all Exp1_33 all List_9 all A_10 all Exp2_33 all Exp_17 all List1_13 all List2_13 tryCatch_list_char(Exp1_33,List_9,A_10,Exp2_33) != call_list_char(Exp_17,List1_13,List2_13)) # label(fact_765_exp_Osimps_I195_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 878 (all Exp_16 all List1_12 all List2_12 all Exp1_32 all List_8 all A_9 all Exp2_32 call_list_char(Exp_16,List1_12,List2_12) != tryCatch_list_char(Exp1_32,List_8,A_9,Exp2_32)) # label(fact_766_exp_Osimps_I194_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 879 (all Y_1 all X_2 all Xs (hBOOL(member_list_char(Y_1,set_list_char(hAPP_l407174677t_char(cons_list_char(X_2),Xs)))) -> Y_1 = X_2 | hBOOL(member_list_char(Y_1,set_list_char(Xs))))) # label(fact_767_set__ConsD) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 880 (all Y_1 all X_2 all Xs (hBOOL(member_nat(Y_1,set_nat(hAPP_l248265089st_nat(cons_nat(X_2),Xs)))) -> Y_1 = X_2 | hBOOL(member_nat(Y_1,set_nat(Xs))))) # label(fact_768_set__ConsD) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 881 (all Y_1 all X_2 all Xs (hBOOL(member1251428284t_char(Y_1,set_Pr550895038t_char(hAPP_l250787541t_char(cons_P2009561711t_char(X_2),Xs)))) -> Y_1 = X_2 | hBOOL(member1251428284t_char(Y_1,set_Pr550895038t_char(Xs))))) # label(fact_769_set__ConsD) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 882 (all Y_1 all X_2 all Xs (hBOOL(member875476972on_val(Y_1,set_Pr771975662on_val(hAPP_l1208602837on_val(cons_P1546421407on_val(X_2),Xs)))) -> Y_1 = X_2 | hBOOL(member875476972on_val(Y_1,set_Pr771975662on_val(Xs))))) # label(fact_770_set__ConsD) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.52 883 (all Y_1 all X_2 all Xs (hBOOL(member773094996on_val(Y_1,set_Pr1921835862on_val(hAPP_l1695428693on_val(cons_P511631239on_val(X_2),Xs)))) -> Y_1 = X_2 | hBOOL(member773094996on_val(Y_1,set_Pr1921835862on_val(Xs))))) # label(fact_771_set__ConsD) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 884 (all Y_1 all X_2 all Xs (hBOOL(member_val(Y_1,set_val(hAPP_l273806049st_val(cons_val(X_2),Xs)))) -> Y_1 = X_2 | hBOOL(member_val(Y_1,set_val(Xs))))) # label(fact_772_set__ConsD) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 885 (all Y_1 all X_2 all Xs (hBOOL(member_ty(Y_1,set_ty(hAPP_list_ty_list_ty(cons_ty(X_2),Xs)))) -> Y_1 = X_2 | hBOOL(member_ty(Y_1,set_ty(Xs))))) # label(fact_773_set__ConsD) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 886 (all Y_1 all X_2 all Xs (hBOOL(member_exp_list_char(Y_1,set_exp_list_char(hAPP_l2011456725t_char(cons_exp_list_char(X_2),Xs)))) -> Y_1 = X_2 | hBOOL(member_exp_list_char(Y_1,set_exp_list_char(Xs))))) # label(fact_774_set__ConsD) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 887 (all F_1 all X_2 all Xs hAPP_l608137480ar_val(map_Pr1153581243ar_val(F_1),hAPP_l1836003391har_ty(cons_P796333129har_ty(X_2),Xs)) = hAPP_l1462265297ar_val(cons_P2112347922ar_val(hAPP_P841862366ar_val(F_1,X_2)),hAPP_l608137480ar_val(map_Pr1153581243ar_val(F_1),Xs))) # label(fact_775_map_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 888 (all F_1 all X_2 all Xs hAPP_l1892737211st_val(map_list_char_val(F_1),hAPP_l407174677t_char(cons_list_char(X_2),Xs)) = hAPP_l273806049st_val(cons_val(hAPP_list_char_val(F_1,X_2)),hAPP_l1892737211st_val(map_list_char_val(F_1),Xs))) # label(fact_776_map_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 889 (all F_1 all X_2 all Xs hAPP_l732421366t_char(map_va1934808527t_char(F_1),hAPP_l273806049st_val(cons_val(X_2),Xs)) = hAPP_l2011456725t_char(cons_exp_list_char(hAPP_v834067052t_char(F_1,X_2)),hAPP_l732421366t_char(map_va1934808527t_char(F_1),Xs))) # label(fact_777_map_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 890 (all F_1 all X_2 all Xs hAPP_l1487035934ion_ty(map_ty_option_ty(F_1),hAPP_list_ty_list_ty(cons_ty(X_2),Xs)) = hAPP_l305548949ion_ty(cons_option_ty(hAPP_ty_option_ty(F_1,X_2)),hAPP_l1487035934ion_ty(map_ty_option_ty(F_1),Xs))) # label(fact_778_map_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 891 (all F_1 all X_2 all Xs hAPP_l2006940821ion_ty(map_val_option_ty(F_1),hAPP_l273806049st_val(cons_val(X_2),Xs)) = hAPP_l305548949ion_ty(cons_option_ty(hAPP_val_option_ty(F_1,X_2)),hAPP_l2006940821ion_ty(map_val_option_ty(F_1),Xs))) # label(fact_779_map_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 892 (all Pa all X_2 all Xs all Y_1 all Ys (hBOOL(hAPP_list_ty_bool(list_all2_val_ty(Pa,hAPP_l273806049st_val(cons_val(X_2),Xs)),hAPP_list_ty_list_ty(cons_ty(Y_1),Ys))) <-> hBOOL(hAPP_ty_bool(hAPP_val_fun_ty_bool(Pa,X_2),Y_1)) & hBOOL(hAPP_list_ty_bool(list_all2_val_ty(Pa,Xs),Ys)))) # label(fact_780_list__all2__Cons) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 893 (all Pa all X_2 all Xs all Y_1 all Ys (hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(Pa,hAPP_list_ty_list_ty(cons_ty(X_2),Xs)),hAPP_list_ty_list_ty(cons_ty(Y_1),Ys))) <-> hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(Pa,X_2),Y_1)) & hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(Pa,Xs),Ys)))) # label(fact_781_list__all2__Cons) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 894 (all X_2 all Xs (hBOOL(distinct_list_char(hAPP_l407174677t_char(cons_list_char(X_2),Xs))) <-> -hBOOL(member_list_char(X_2,set_list_char(Xs))) & hBOOL(distinct_list_char(Xs)))) # label(fact_782_distinct_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 895 (all X_2 all Xs (hBOOL(distinct_nat(hAPP_l248265089st_nat(cons_nat(X_2),Xs))) <-> -hBOOL(member_nat(X_2,set_nat(Xs))) & hBOOL(distinct_nat(Xs)))) # label(fact_783_distinct_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 896 (all X_2 all Xs (hBOOL(distin1973552748t_char(hAPP_l250787541t_char(cons_P2009561711t_char(X_2),Xs))) <-> -hBOOL(member1251428284t_char(X_2,set_Pr550895038t_char(Xs))) & hBOOL(distin1973552748t_char(Xs)))) # label(fact_784_distinct_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 897 (all X_2 all Xs (hBOOL(distin1349260956on_val(hAPP_l1208602837on_val(cons_P1546421407on_val(X_2),Xs))) <-> -hBOOL(member875476972on_val(X_2,set_Pr771975662on_val(Xs))) & hBOOL(distin1349260956on_val(Xs)))) # label(fact_785_distinct_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 898 (all X_2 all Xs (hBOOL(distin179070212on_val(hAPP_l1695428693on_val(cons_P511631239on_val(X_2),Xs))) <-> -hBOOL(member773094996on_val(X_2,set_Pr1921835862on_val(Xs))) & hBOOL(distin179070212on_val(Xs)))) # label(fact_786_distinct_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 899 (all X_2 all Xs (hBOOL(distinct_val(hAPP_l273806049st_val(cons_val(X_2),Xs))) <-> -hBOOL(member_val(X_2,set_val(Xs))) & hBOOL(distinct_val(Xs)))) # label(fact_787_distinct_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 900 (all X_2 all Xs (hBOOL(distinct_ty(hAPP_list_ty_list_ty(cons_ty(X_2),Xs))) <-> -hBOOL(member_ty(X_2,set_ty(Xs))) & hBOOL(distinct_ty(Xs)))) # label(fact_788_distinct_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 901 (all X_2 all Xs (hBOOL(distin1416307044t_char(hAPP_l2011456725t_char(cons_exp_list_char(X_2),Xs))) <-> -hBOOL(member_exp_list_char(X_2,set_exp_list_char(Xs))) & hBOOL(distin1416307044t_char(Xs)))) # label(fact_789_distinct_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 902 (all M all Es_1 all Ea all S_1 all E all S all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),red(Pa))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(Ea,M,Es_1)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(E,M,Es_1)),S)),red(Pa))))) # label(fact_790_red__reds_OCallObj) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 903 (all Val_11 all Val_10 (hAPP_v834067052t_char(val_list_char,Val_11) = hAPP_v834067052t_char(val_list_char,Val_10) <-> Val_11 = Val_10)) # label(fact_791_exp_Osimps_I3_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 904 (all Exp1_31 all Exp2_31 all Exp1_30 all Exp2_30 (seq_list_char(Exp1_31,Exp2_31) = seq_list_char(Exp1_30,Exp2_30) <-> Exp1_31 = Exp1_30 & Exp2_31 = Exp2_30)) # label(fact_792_exp_Osimps_I11_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 905 (all Exp1_31 all List1_11 all List2_11 all Exp2_31 all Exp1_30 all List1_10 all List2_10 all Exp2_30 (fAss_list_char(Exp1_31,List1_11,List2_11,Exp2_31) = fAss_list_char(Exp1_30,List1_10,List2_10,Exp2_30) <-> Exp1_31 = Exp1_30 & List1_11 = List1_10 & List2_11 = List2_10 & Exp2_31 = Exp2_30)) # label(fact_793_exp_Osimps_I8_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 906 (all Exp1_31 all Bop all Exp2_31 all Exp1_30 all Bop_9 all Exp2_30 (is_bop(Bop) & is_bop(Bop_9) -> (binOp_list_char(Exp1_31,Bop,Exp2_31) = binOp_list_char(Exp1_30,Bop_9,Exp2_30) <-> Exp1_31 = Exp1_30 & Bop = Bop_9 & Exp2_31 = Exp2_30))) # label(fact_794_exp_Osimps_I4_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 907 (all Exp1_31 all List_2 all A_1 all Exp2_31 all Exp1_30 all List_1 all A_8 all Exp2_30 (tryCatch_list_char(Exp1_31,List_2,A_1,Exp2_31) = tryCatch_list_char(Exp1_30,List_1,A_8,Exp2_30) <-> Exp1_31 = Exp1_30 & List_2 = List_1 & A_1 = A_8 & Exp2_31 = Exp2_30)) # label(fact_795_exp_Osimps_I15_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 908 (all M all Es_1 all Ea all S_1 all E all S all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(Ea,M,Es_1)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(E,M,Es_1)),S)),transi2024712006on_val(red(Pa)))))) # label(fact_796_CallRedsObj) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 909 (all V all Es_1 all S_1 all Es all S all Pa (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_1),S_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es),S)),transi374442731on_val(reds(Pa)))) -> hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,hAPP_l2011456725t_char(cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V)),Es_1)),S_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,hAPP_l2011456725t_char(cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V)),Es)),S)),transi374442731on_val(reds(Pa)))))) # label(fact_797_ListReds2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 910 (all V all Es_1 all S_1 all Es all S all Pa (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_1),S_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es),S)),reds(Pa))) -> hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,hAPP_l2011456725t_char(cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V)),Es_1)),S_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,hAPP_l2011456725t_char(cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V)),Es)),S)),reds(Pa))))) # label(fact_798_red__reds_OListRed2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 911 (all Es_1 all Ea all S_1 all E all S all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),red(Pa))) -> hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,hAPP_l2011456725t_char(cons_exp_list_char(Ea),Es_1)),S_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,hAPP_l2011456725t_char(cons_exp_list_char(E),Es_1)),S)),reds(Pa))))) # label(fact_799_red__reds_OListRed1) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 912 (all Bop all V all E_2 all V_2 all S_2_1 all Pa all E_1 all S_0 all V_1_2 all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),hAPP_v834067052t_char(val_list_char,V_1_2)),S_1_2)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_2),hAPP_v834067052t_char(val_list_char,V_2)),S_2_1)) -> (binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Bop),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,V_1_2),V_2))) = hAPP_val_option_val(some_val,V) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,binOp_list_char(E_1,Bop,E_2),S_0),hAPP_v834067052t_char(val_list_char,V)),S_2_1)))))) # label(fact_800_BinOp) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 913 (all Exp1_29 all Exp2_29 all Val_9 seq_list_char(Exp1_29,Exp2_29) != hAPP_v834067052t_char(val_list_char,Val_9)) # label(fact_801_exp_Osimps_I85_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 914 (all Val_8 all Exp1_28 all Exp2_28 hAPP_v834067052t_char(val_list_char,Val_8) != seq_list_char(Exp1_28,Exp2_28)) # label(fact_802_exp_Osimps_I84_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 915 (all Exp1_27 all List1_9 all List2_9 all Exp2_27 all Val_7 fAss_list_char(Exp1_27,List1_9,List2_9,Exp2_27) != hAPP_v834067052t_char(val_list_char,Val_7)) # label(fact_803_exp_Osimps_I79_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 916 (all Val_6 all Exp1_26 all List1_8 all List2_8 all Exp2_26 hAPP_v834067052t_char(val_list_char,Val_6) != fAss_list_char(Exp1_26,List1_8,List2_8,Exp2_26)) # label(fact_804_exp_Osimps_I78_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 917 (all Exp1_25 all Bop_8 all Exp2_25 all Val_5 binOp_list_char(Exp1_25,Bop_8,Exp2_25) != hAPP_v834067052t_char(val_list_char,Val_5)) # label(fact_805_exp_Osimps_I71_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 918 (all Val_4 all Exp1_24 all Bop_7 all Exp2_24 hAPP_v834067052t_char(val_list_char,Val_4) != binOp_list_char(Exp1_24,Bop_7,Exp2_24)) # label(fact_806_exp_Osimps_I70_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 919 (all Exp1_23 all List_7 all A_7 all Exp2_23 all Val_3 tryCatch_list_char(Exp1_23,List_7,A_7,Exp2_23) != hAPP_v834067052t_char(val_list_char,Val_3)) # label(fact_807_exp_Osimps_I93_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 920 (all Val_2 all Exp1_22 all List_6 all A_6 all Exp2_22 hAPP_v834067052t_char(val_list_char,Val_2) != tryCatch_list_char(Exp1_22,List_6,A_6,Exp2_22)) # label(fact_808_exp_Osimps_I92_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 921 (all V all M all Es_1 all S_1 all Es all S all Pa (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_1),S_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es),S)),reds(Pa))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,V),M,Es_1)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,V),M,Es)),S)),red(Pa))))) # label(fact_809_red__reds_OCallParams) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 922 (all Es_1 all Ea all S_1 all E all S all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,hAPP_l2011456725t_char(cons_exp_list_char(Ea),Es_1)),S_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,hAPP_l2011456725t_char(cons_exp_list_char(E),Es_1)),S)),transi374442731on_val(reds(Pa)))))) # label(fact_810_ListReds1) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 923 (all Exp1_21 all List1_7 all List2_7 all Exp2_21 all Exp1_20 all Exp2_20 fAss_list_char(Exp1_21,List1_7,List2_7,Exp2_21) != seq_list_char(Exp1_20,Exp2_20)) # label(fact_811_exp_Osimps_I174_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 924 (all Exp1_19 all Exp2_19 all Exp1_18 all List1_6 all List2_6 all Exp2_18 seq_list_char(Exp1_19,Exp2_19) != fAss_list_char(Exp1_18,List1_6,List2_6,Exp2_18)) # label(fact_812_exp_Osimps_I175_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 925 (all Exp1_17 all Bop_6 all Exp2_17 all Exp1_16 all Exp2_16 binOp_list_char(Exp1_17,Bop_6,Exp2_17) != seq_list_char(Exp1_16,Exp2_16)) # label(fact_813_exp_Osimps_I106_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 926 (all Exp1_15 all Exp2_15 all Exp1_14 all Bop_5 all Exp2_14 seq_list_char(Exp1_15,Exp2_15) != binOp_list_char(Exp1_14,Bop_5,Exp2_14)) # label(fact_814_exp_Osimps_I107_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 927 (all Exp1_13 all List1_5 all List2_5 all Exp2_13 all Exp1_12 all Bop_4 all Exp2_12 fAss_list_char(Exp1_13,List1_5,List2_5,Exp2_13) != binOp_list_char(Exp1_12,Bop_4,Exp2_12)) # label(fact_815_exp_Osimps_I101_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 928 (all Exp1_11 all Bop_3 all Exp2_11 all Exp1_10 all List1_4 all List2_4 all Exp2_10 binOp_list_char(Exp1_11,Bop_3,Exp2_11) != fAss_list_char(Exp1_10,List1_4,List2_4,Exp2_10)) # label(fact_816_exp_Osimps_I100_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 929 (all Exp1_9 all List_5 all A_5 all Exp2_9 all Exp1_8 all Exp2_8 tryCatch_list_char(Exp1_9,List_5,A_5,Exp2_9) != seq_list_char(Exp1_8,Exp2_8)) # label(fact_817_exp_Osimps_I213_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 930 (all Pa all Xs all Y_1 all Ys (hBOOL(hAPP_list_ty_bool(list_all2_val_ty(Pa,Xs),hAPP_list_ty_list_ty(cons_ty(Y_1),Ys))) <-> (exists Z exists Zs_4 (Xs = hAPP_l273806049st_val(cons_val(Z),Zs_4) & hBOOL(hAPP_ty_bool(hAPP_val_fun_ty_bool(Pa,Z),Y_1)) & hBOOL(hAPP_list_ty_bool(list_all2_val_ty(Pa,Zs_4),Ys)))))) # label(fact_818_list__all2__Cons2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 931 (all Pa all Xs all Y_1 all Ys (hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(Pa,Xs),hAPP_list_ty_list_ty(cons_ty(Y_1),Ys))) <-> (exists Z exists Zs_4 (Xs = hAPP_list_ty_list_ty(cons_ty(Z),Zs_4) & hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(Pa,Z),Y_1)) & hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(Pa,Zs_4),Ys)))))) # label(fact_819_list__all2__Cons2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 932 (all Pa all X_2 all Xs all Ys (hBOOL(hAPP_list_ty_bool(list_all2_val_ty(Pa,hAPP_l273806049st_val(cons_val(X_2),Xs)),Ys)) <-> (exists Z exists Zs_4 (Ys = hAPP_list_ty_list_ty(cons_ty(Z),Zs_4) & hBOOL(hAPP_ty_bool(hAPP_val_fun_ty_bool(Pa,X_2),Z)) & hBOOL(hAPP_list_ty_bool(list_all2_val_ty(Pa,Xs),Zs_4)))))) # label(fact_820_list__all2__Cons1) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 933 (all Pa all X_2 all Xs all Ys (hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(Pa,hAPP_list_ty_list_ty(cons_ty(X_2),Xs)),Ys)) <-> (exists Z exists Zs_4 (Ys = hAPP_list_ty_list_ty(cons_ty(Z),Zs_4) & hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(Pa,X_2),Z)) & hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(Pa,Xs),Zs_4)))))) # label(fact_821_list__all2__Cons1) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 934 (all X_2 all Xs all F_1 all Ys (hAPP_l1462265297ar_val(cons_P2112347922ar_val(X_2),Xs) = hAPP_l608137480ar_val(map_Pr1153581243ar_val(F_1),Ys) <-> (exists Z exists Zs_4 (Ys = hAPP_l1836003391har_ty(cons_P796333129har_ty(Z),Zs_4) & X_2 = hAPP_P841862366ar_val(F_1,Z) & Xs = hAPP_l608137480ar_val(map_Pr1153581243ar_val(F_1),Zs_4))))) # label(fact_822_Cons__eq__map__conv) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 935 (all X_2 all Xs all F_1 all Ys (hAPP_l273806049st_val(cons_val(X_2),Xs) = hAPP_l1892737211st_val(map_list_char_val(F_1),Ys) <-> (exists Z exists Zs_4 (Ys = hAPP_l407174677t_char(cons_list_char(Z),Zs_4) & X_2 = hAPP_list_char_val(F_1,Z) & Xs = hAPP_l1892737211st_val(map_list_char_val(F_1),Zs_4))))) # label(fact_823_Cons__eq__map__conv) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 936 (all X_2 all Xs all F_1 all Ys (hAPP_l2011456725t_char(cons_exp_list_char(X_2),Xs) = hAPP_l732421366t_char(map_va1934808527t_char(F_1),Ys) <-> (exists Z exists Zs_4 (Ys = hAPP_l273806049st_val(cons_val(Z),Zs_4) & X_2 = hAPP_v834067052t_char(F_1,Z) & Xs = hAPP_l732421366t_char(map_va1934808527t_char(F_1),Zs_4))))) # label(fact_824_Cons__eq__map__conv) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 937 (all X_2 all Xs all F_1 all Ys (hAPP_l305548949ion_ty(cons_option_ty(X_2),Xs) = hAPP_l1487035934ion_ty(map_ty_option_ty(F_1),Ys) <-> (exists Z exists Zs_4 (Ys = hAPP_list_ty_list_ty(cons_ty(Z),Zs_4) & X_2 = hAPP_ty_option_ty(F_1,Z) & Xs = hAPP_l1487035934ion_ty(map_ty_option_ty(F_1),Zs_4))))) # label(fact_825_Cons__eq__map__conv) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 938 (all X_2 all Xs all F_1 all Ys (hAPP_l305548949ion_ty(cons_option_ty(X_2),Xs) = hAPP_l2006940821ion_ty(map_val_option_ty(F_1),Ys) <-> (exists Z exists Zs_4 (Ys = hAPP_l273806049st_val(cons_val(Z),Zs_4) & X_2 = hAPP_val_option_ty(F_1,Z) & Xs = hAPP_l2006940821ion_ty(map_val_option_ty(F_1),Zs_4))))) # label(fact_826_Cons__eq__map__conv) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 939 (all F_1 all Xs all Y_1 all Ys (hAPP_l608137480ar_val(map_Pr1153581243ar_val(F_1),Xs) = hAPP_l1462265297ar_val(cons_P2112347922ar_val(Y_1),Ys) <-> (exists Z exists Zs_4 (Xs = hAPP_l1836003391har_ty(cons_P796333129har_ty(Z),Zs_4) & hAPP_P841862366ar_val(F_1,Z) = Y_1 & hAPP_l608137480ar_val(map_Pr1153581243ar_val(F_1),Zs_4) = Ys)))) # label(fact_827_map__eq__Cons__conv) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 940 (all F_1 all Xs all Y_1 all Ys (hAPP_l1892737211st_val(map_list_char_val(F_1),Xs) = hAPP_l273806049st_val(cons_val(Y_1),Ys) <-> (exists Z exists Zs_4 (Xs = hAPP_l407174677t_char(cons_list_char(Z),Zs_4) & hAPP_list_char_val(F_1,Z) = Y_1 & hAPP_l1892737211st_val(map_list_char_val(F_1),Zs_4) = Ys)))) # label(fact_828_map__eq__Cons__conv) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 941 (all F_1 all Xs all Y_1 all Ys (hAPP_l732421366t_char(map_va1934808527t_char(F_1),Xs) = hAPP_l2011456725t_char(cons_exp_list_char(Y_1),Ys) <-> (exists Z exists Zs_4 (Xs = hAPP_l273806049st_val(cons_val(Z),Zs_4) & hAPP_v834067052t_char(F_1,Z) = Y_1 & hAPP_l732421366t_char(map_va1934808527t_char(F_1),Zs_4) = Ys)))) # label(fact_829_map__eq__Cons__conv) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 942 (all F_1 all Xs all Y_1 all Ys (hAPP_l1487035934ion_ty(map_ty_option_ty(F_1),Xs) = hAPP_l305548949ion_ty(cons_option_ty(Y_1),Ys) <-> (exists Z exists Zs_4 (Xs = hAPP_list_ty_list_ty(cons_ty(Z),Zs_4) & hAPP_ty_option_ty(F_1,Z) = Y_1 & hAPP_l1487035934ion_ty(map_ty_option_ty(F_1),Zs_4) = Ys)))) # label(fact_830_map__eq__Cons__conv) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 943 (all F_1 all Xs all Y_1 all Ys (hAPP_l2006940821ion_ty(map_val_option_ty(F_1),Xs) = hAPP_l305548949ion_ty(cons_option_ty(Y_1),Ys) <-> (exists Z exists Zs_4 (Xs = hAPP_l273806049st_val(cons_val(Z),Zs_4) & hAPP_val_option_ty(F_1,Z) = Y_1 & hAPP_l2006940821ion_ty(map_val_option_ty(F_1),Zs_4) = Ys)))) # label(fact_831_map__eq__Cons__conv) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 944 (all X_2 all Xs all Y_1 all Ys all R_1 (hBOOL(member817832404t_char(hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,hAPP_l407174677t_char(cons_list_char(X_2),Xs)),hAPP_l407174677t_char(cons_list_char(Y_1),Ys)),lex_list_char(R_1))) <-> hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,X_2),Y_1),R_1)) & hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys) | X_2 = Y_1 & hBOOL(member817832404t_char(hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,Xs),Ys),lex_list_char(R_1))))) # label(fact_832_Cons__in__lex) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 945 (all X_2 all Xs all Y_1 all Ys all R_1 (hBOOL(member295766740on_val(hAPP_l1701465547on_val(hAPP_l1588290397on_val(produc493060183on_val,hAPP_l254081045on_val(cons_P1190705016on_val(X_2),Xs)),hAPP_l254081045on_val(cons_P1190705016on_val(Y_1),Ys)),lex_Pr830868420on_val(R_1))) <-> hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,X_2),Y_1),R_1)) & hAPP_l1766199206al_nat(size_s470606735on_val,Xs) = hAPP_l1766199206al_nat(size_s470606735on_val,Ys) | X_2 = Y_1 & hBOOL(member295766740on_val(hAPP_l1701465547on_val(hAPP_l1588290397on_val(produc493060183on_val,Xs),Ys),lex_Pr830868420on_val(R_1))))) # label(fact_833_Cons__in__lex) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 946 (all X_2 all Xs all Y_1 all Ys all R_1 (hBOOL(member1942985176on_val(hAPP_l1485560508on_val(hAPP_l1324137613on_val(produc584381409on_val,hAPP_l76241055on_val(cons_P1917484281on_val(X_2),Xs)),hAPP_l76241055on_val(cons_P1917484281on_val(Y_1),Ys)),lex_Pr979517357on_val(R_1))) <-> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X_2),Y_1),R_1)) & hAPP_l1746926841al_nat(size_s60479160on_val,Xs) = hAPP_l1746926841al_nat(size_s60479160on_val,Ys) | X_2 = Y_1 & hBOOL(member1942985176on_val(hAPP_l1485560508on_val(hAPP_l1324137613on_val(produc584381409on_val,Xs),Ys),lex_Pr979517357on_val(R_1))))) # label(fact_834_Cons__in__lex) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 947 (all X_2 all Xs all Y_1 all Ys all R_1 (is_char(X_2) & is_char(Y_1) -> (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,hAPP_l1074208899t_char(cons_char(X_2),Xs)),hAPP_l1074208899t_char(cons_char(Y_1),Ys)),lex_char(R_1))) <-> hBOOL(member1725532372r_char(hAPP_c802977373r_char(hAPP_c1242523777r_char(produc601902295r_char,X_2),Y_1),R_1)) & hAPP_list_char_nat(size_size_list_char,Xs) = hAPP_list_char_nat(size_size_list_char,Ys) | X_2 = Y_1 & hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Xs),Ys),lex_char(R_1)))))) # label(fact_835_Cons__in__lex) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 948 (all X_2 all Xs all Y_1 all Ys all R_1 (hBOOL(member273646106st_val(hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,hAPP_l273806049st_val(cons_val(X_2),Xs)),hAPP_l273806049st_val(cons_val(Y_1),Ys)),lex_val(R_1))) <-> hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,X_2),Y_1),R_1)) & hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_list_val_nat(size_size_list_val,Ys) | X_2 = Y_1 & hBOOL(member273646106st_val(hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,Xs),Ys),lex_val(R_1))))) # label(fact_836_Cons__in__lex) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 949 (all X_2 all Xs all Y_1 all Ys all R_1 (hBOOL(member104734088ist_ty(hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,hAPP_list_ty_list_ty(cons_ty(X_2),Xs)),hAPP_list_ty_list_ty(cons_ty(Y_1),Ys)),lex_ty(R_1))) <-> hBOOL(member1736614484_ty_ty(hAPP_t65172803_ty_ty(hAPP_t1494094285_ty_ty(product_Pair_ty_ty,X_2),Y_1),R_1)) & hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys) | X_2 = Y_1 & hBOOL(member104734088ist_ty(hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,Xs),Ys),lex_ty(R_1))))) # label(fact_837_Cons__in__lex) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 950 (all X_2 all Xs all Y_1 all Ys all R_1 (hBOOL(member894971540t_char(hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,hAPP_l2011456725t_char(cons_exp_list_char(X_2),Xs)),hAPP_l2011456725t_char(cons_exp_list_char(Y_1),Ys)),lex_exp_list_char(R_1))) <-> hBOOL(member1199939018t_char(hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,X_2),Y_1),R_1)) & hAPP_l452123639ar_nat(size_s1143674878t_char,Xs) = hAPP_l452123639ar_nat(size_s1143674878t_char,Ys) | X_2 = Y_1 & hBOOL(member894971540t_char(hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,Xs),Ys),lex_exp_list_char(R_1))))) # label(fact_838_Cons__in__lex) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 951 (all Es_4 all E_8 (-hBOOL(final_list_char(E_8)) -> -hBOOL(finals_list_char(hAPP_l2011456725t_char(cons_exp_list_char(E_8),Es_4))))) # label(fact_839_not__finals__ConsI) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 952 (all Pa all S_1 all Bop all V_1_2 all V_2 all V (binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Bop),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,V_1_2),V_2))) = hAPP_val_option_val(some_val,V) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_2),Bop,hAPP_v834067052t_char(val_list_char,V_2)),S_1),hAPP_v834067052t_char(val_list_char,V)),S_1)))) # label(fact_840_redp__redsp_ORedBinOp) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 953 (all M all Es_1 all Vs_1_1 all A_1 all Es_2_1 all S_2_1 all Ea all S0 all V all S_1_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V)),S_1_2)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_1),S_1_2)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,append_exp_list_char(hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vs_1_1),hAPP_l2011456725t_char(cons_exp_list_char(throw_list_char(A_1)),Es_2_1))),S_2_1)),transi374442731on_val(reds(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(Ea,M,Es_1)),S0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A_1)),S_2_1)),transi2024712006on_val(red(Pa))))))) # label(fact_841_CallRedsThrowParams) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 954 (all Bop all E_2 all Ea all S_2_1 all E_1 all S_0 all V_1_2 all S_1_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_1_2)),S_1_2)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S_1_2)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Ea)),S_2_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(E_1,Bop,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Ea)),S_2_1)),transi2024712006on_val(red(Pa))))))) # label(fact_842_BinOpRedsThrow2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 955 (all Es_1 all Tsa all Pa all Ha all E_4 all Ea all Ta (hBOOL(wTrt(Pa,Ha,E_4,Ea,Ta)) -> (hBOOL(wTrts_1(Pa,Ha,E_4,Es_1,Tsa)) -> hBOOL(wTrts_1(Pa,Ha,E_4,hAPP_l2011456725t_char(cons_exp_list_char(Ea),Es_1),hAPP_list_ty_list_ty(cons_ty(Ta),Tsa)))))) # label(fact_843_WTrtCons) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 956 (all Pa all Ea all F all D all E_2 all S_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(throw_list_char(Ea),F,D,E_2),S_1),throw_list_char(Ea)),S_1))) # label(fact_844_redp__redsp_OFAssThrow1) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 957 (all Pa all Ea all Bop all E_2 all S_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,binOp_list_char(throw_list_char(Ea),Bop,E_2),S_1),throw_list_char(Ea)),S_1))) # label(fact_845_redp__redsp_OBinOpThrow1) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 958 (all Pa all Ea all E_2 all S_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,seq_list_char(throw_list_char(Ea),E_2),S_1),throw_list_char(Ea)),S_1))) # label(fact_846_redp__redsp_OSeqThrow) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 959 (all Exp_15 all Exp_14 (throw_list_char(Exp_15) = throw_list_char(Exp_14) <-> Exp_15 = Exp_14)) # label(fact_847_exp_Osimps_I14_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 960 (all Pa all Ea all M all Es_1 all S_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(throw_list_char(Ea),M,Es_1),S_1),throw_list_char(Ea)),S_1))) # label(fact_848_redp__redsp_OCallThrowObj) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 961 (all Pa all Ea all S_1 all E all S (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S_1),E),S)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,throw_list_char(Ea),S_1),throw_list_char(E)),S)))) # label(fact_849_redp__redsp_OThrowRed) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 962 (all Pa all Ea all S_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,throw_list_char(throw_list_char(Ea)),S_1),throw_list_char(Ea)),S_1))) # label(fact_850_redp__redsp_OThrowThrow) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 963 (all Ys_4 all Us_2 all Xs_4 all Xs1_1 all Zs_3 (append_exp_list_char(Xs_4,Xs1_1) = Zs_3 -> (Ys_4 = append_exp_list_char(Xs1_1,Us_2) -> append_exp_list_char(Xs_4,Ys_4) = append_exp_list_char(Zs_3,Us_2)))) # label(fact_851_append__eq__appendI) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 964 (all Ys all Xs all Zs (append_exp_list_char(Ys,Xs) = append_exp_list_char(Zs,Xs) <-> Ys = Zs)) # label(fact_852_append__same__eq) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 965 (all Xs all Ys all Zs (append_exp_list_char(Xs,Ys) = append_exp_list_char(Xs,Zs) <-> Ys = Zs)) # label(fact_853_same__append__eq) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 966 (all Xs all Ys all Zs all Ts_3 (append_exp_list_char(Xs,Ys) = append_exp_list_char(Zs,Ts_3) <-> (exists Us_1 (Xs = append_exp_list_char(Zs,Us_1) & append_exp_list_char(Us_1,Ys) = Ts_3 | append_exp_list_char(Xs,Us_1) = Zs & Ys = append_exp_list_char(Us_1,Ts_3))))) # label(fact_854_append__eq__append__conv2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 967 (all Xs_3 all Ys_3 all Zs_2 append_exp_list_char(append_exp_list_char(Xs_3,Ys_3),Zs_2) = append_exp_list_char(Xs_3,append_exp_list_char(Ys_3,Zs_2))) # label(fact_855_append__assoc) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 968 (all Pa all V all F all D all Ea all S_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(hAPP_v834067052t_char(val_list_char,V),F,D,throw_list_char(Ea)),S_1),throw_list_char(Ea)),S_1))) # label(fact_856_redp__redsp_OFAssThrow2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 969 (all Pa all V_1_2 all Bop all Ea all S_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_2),Bop,throw_list_char(Ea)),S_1),throw_list_char(Ea)),S_1))) # label(fact_857_redp__redsp_OBinOpThrow2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 970 (all Xs_2 all Zs_1 all X_4 all Xs1 all Ys_2 (hAPP_l2011456725t_char(cons_exp_list_char(X_4),Xs1) = Ys_2 -> (Xs_2 = append_exp_list_char(Xs1,Zs_1) -> hAPP_l2011456725t_char(cons_exp_list_char(X_4),Xs_2) = append_exp_list_char(Ys_2,Zs_1)))) # label(fact_858_Cons__eq__appendI) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 971 (all Xs_2 all Zs_1 all X_4 all Xs1 all Ys_2 (hAPP_l273806049st_val(cons_val(X_4),Xs1) = Ys_2 -> (Xs_2 = append_val(Xs1,Zs_1) -> hAPP_l273806049st_val(cons_val(X_4),Xs_2) = append_val(Ys_2,Zs_1)))) # label(fact_859_Cons__eq__appendI) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 972 (all Xs_2 all Zs_1 all X_4 all Xs1 all Ys_2 (hAPP_l407174677t_char(cons_list_char(X_4),Xs1) = Ys_2 -> (Xs_2 = append_list_char(Xs1,Zs_1) -> hAPP_l407174677t_char(cons_list_char(X_4),Xs_2) = append_list_char(Ys_2,Zs_1)))) # label(fact_860_Cons__eq__appendI) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 973 (all Xs_2 all Zs_1 all X_4 all Xs1 all Ys_2 (hAPP_list_ty_list_ty(cons_ty(X_4),Xs1) = Ys_2 -> (Xs_2 = append_ty(Xs1,Zs_1) -> hAPP_list_ty_list_ty(cons_ty(X_4),Xs_2) = append_ty(Ys_2,Zs_1)))) # label(fact_861_Cons__eq__appendI) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 974 (all X_3 all Xs_1 all Ys_1 append_exp_list_char(hAPP_l2011456725t_char(cons_exp_list_char(X_3),Xs_1),Ys_1) = hAPP_l2011456725t_char(cons_exp_list_char(X_3),append_exp_list_char(Xs_1,Ys_1))) # label(fact_862_append__Cons) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 975 (all X_3 all Xs_1 all Ys_1 append_val(hAPP_l273806049st_val(cons_val(X_3),Xs_1),Ys_1) = hAPP_l273806049st_val(cons_val(X_3),append_val(Xs_1,Ys_1))) # label(fact_863_append__Cons) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 976 (all X_3 all Xs_1 all Ys_1 append_list_char(hAPP_l407174677t_char(cons_list_char(X_3),Xs_1),Ys_1) = hAPP_l407174677t_char(cons_list_char(X_3),append_list_char(Xs_1,Ys_1))) # label(fact_864_append__Cons) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 977 (all X_3 all Xs_1 all Ys_1 append_ty(hAPP_list_ty_list_ty(cons_ty(X_3),Xs_1),Ys_1) = hAPP_list_ty_list_ty(cons_ty(X_3),append_ty(Xs_1,Ys_1))) # label(fact_865_append__Cons) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 978 (all F_1 all Xs all Ys hAPP_l608137480ar_val(map_Pr1153581243ar_val(F_1),append590652462har_ty(Xs,Ys)) = append1049742455ar_val(hAPP_l608137480ar_val(map_Pr1153581243ar_val(F_1),Xs),hAPP_l608137480ar_val(map_Pr1153581243ar_val(F_1),Ys))) # label(fact_866_map__append) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 979 (all F_1 all Xs all Ys hAPP_l1892737211st_val(map_list_char_val(F_1),append_list_char(Xs,Ys)) = append_val(hAPP_l1892737211st_val(map_list_char_val(F_1),Xs),hAPP_l1892737211st_val(map_list_char_val(F_1),Ys))) # label(fact_867_map__append) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 980 (all F_1 all Xs all Ys hAPP_l732421366t_char(map_va1934808527t_char(F_1),append_val(Xs,Ys)) = append_exp_list_char(hAPP_l732421366t_char(map_va1934808527t_char(F_1),Xs),hAPP_l732421366t_char(map_va1934808527t_char(F_1),Ys))) # label(fact_868_map__append) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 981 (all F_1 all Xs all Ys hAPP_l1487035934ion_ty(map_ty_option_ty(F_1),append_ty(Xs,Ys)) = append_option_ty(hAPP_l1487035934ion_ty(map_ty_option_ty(F_1),Xs),hAPP_l1487035934ion_ty(map_ty_option_ty(F_1),Ys))) # label(fact_869_map__append) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 982 (all F_1 all Xs all Ys hAPP_l2006940821ion_ty(map_val_option_ty(F_1),append_val(Xs,Ys)) = append_option_ty(hAPP_l2006940821ion_ty(map_val_option_ty(F_1),Xs),hAPP_l2006940821ion_ty(map_val_option_ty(F_1),Ys))) # label(fact_870_map__append) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 983 (all Pa all Ea all S_0 all E all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),throw_list_char(E)),S_1_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(Ea),S_0),throw_list_char(E)),S_1_2)))) # label(fact_871_eval__evals_OThrowThrow) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 984 (all C_2 all D_1 all Pa all A_1 all B (hBOOL(hAPP_list_ty_bool(list_all2_val_ty(Pa,A_1),B)) -> (hBOOL(hAPP_list_ty_bool(list_all2_val_ty(Pa,C_2),D_1)) -> hBOOL(hAPP_list_ty_bool(list_all2_val_ty(Pa,append_val(A_1,C_2)),append_ty(B,D_1)))))) # label(fact_872_list__all2__appendI) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 985 (all C_2 all D_1 all Pa all A_1 all B (hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(Pa,A_1),B)) -> (hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(Pa,C_2),D_1)) -> hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(Pa,append_ty(A_1,C_2)),append_ty(B,D_1)))))) # label(fact_873_list__all2__appendI) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 986 (all E_2 all Pa all Ea all S_1 all E all S (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S_1),E),S)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,seq_list_char(Ea,E_2),S_1),seq_list_char(E,E_2)),S)))) # label(fact_874_redp__redsp_OSeqRed) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 987 (all F all D all E_2 all Pa all Ea all S_1 all E all S (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S_1),E),S)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(Ea,F,D,E_2),S_1),fAss_list_char(E,F,D,E_2)),S)))) # label(fact_875_redp__redsp_OFAssRed1) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 988 (all M all Es_1 all Pa all Ea all S_1 all E all S (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S_1),E),S)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(Ea,M,Es_1),S_1),call_list_char(E,M,Es_1)),S)))) # label(fact_876_redp__redsp_OCallObj) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 989 (all Bop all E_2 all Pa all Ea all S_1 all E all S (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S_1),E),S)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,binOp_list_char(Ea,Bop,E_2),S_1),binOp_list_char(E,Bop,E_2)),S)))) # label(fact_877_redp__redsp_OBinOpRed1) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 990 (all C all V_1 all E_2 all Pa all Ea all S_1 all E all S (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S_1),E),S)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,tryCatch_list_char(Ea,C,V_1,E_2),S_1),tryCatch_list_char(E,C,V_1,E_2)),S)))) # label(fact_878_redp__redsp_OTryRed) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 991 (all Pa all V all M all S_1 all Es_1 all Vsa all Ea all Es (Es_1 = append_exp_list_char(hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vsa),hAPP_l2011456725t_char(cons_exp_list_char(throw_list_char(Ea)),Es)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(hAPP_v834067052t_char(val_list_char,V),M,Es_1),S_1),throw_list_char(Ea)),S_1)))) # label(fact_879_redp__redsp_OCallThrowParams) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 992 (all Val_1 all Exp_13 hAPP_v834067052t_char(val_list_char,Val_1) != throw_list_char(Exp_13)) # label(fact_880_exp_Osimps_I90_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 993 (all Exp_12 all Val throw_list_char(Exp_12) != hAPP_v834067052t_char(val_list_char,Val)) # label(fact_881_exp_Osimps_I91_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 994 (all Exp_11 all Exp1_7 all Exp2_7 throw_list_char(Exp_11) != seq_list_char(Exp1_7,Exp2_7)) # label(fact_882_exp_Osimps_I211_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 995 (all Exp1_6 all Exp2_6 all Exp_10 seq_list_char(Exp1_6,Exp2_6) != throw_list_char(Exp_10)) # label(fact_883_exp_Osimps_I210_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 996 (all Exp_9 all Exp1_5 all List1_3 all List2_3 all Exp2_5 throw_list_char(Exp_9) != fAss_list_char(Exp1_5,List1_3,List2_3,Exp2_5)) # label(fact_884_exp_Osimps_I181_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 997 (all Exp1_4 all List1_2 all List2_2 all Exp2_4 all Exp_8 fAss_list_char(Exp1_4,List1_2,List2_2,Exp2_4) != throw_list_char(Exp_8)) # label(fact_885_exp_Osimps_I180_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 998 (all Exp_7 all Exp_6 all List1_1 all List2_1 throw_list_char(Exp_7) != call_list_char(Exp_6,List1_1,List2_1)) # label(fact_886_exp_Osimps_I193_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 999 (all Exp_5 all List1 all List2 all Exp_4 call_list_char(Exp_5,List1,List2) != throw_list_char(Exp_4)) # label(fact_887_exp_Osimps_I192_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 1000 (all Exp_3 all Exp1_3 all Bop_2 all Exp2_3 throw_list_char(Exp_3) != binOp_list_char(Exp1_3,Bop_2,Exp2_3)) # label(fact_888_exp_Osimps_I113_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 1001 (all Exp1_2 all Bop_1 all Exp2_2 all Exp_2 binOp_list_char(Exp1_2,Bop_1,Exp2_2) != throw_list_char(Exp_2)) # label(fact_889_exp_Osimps_I112_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 1002 (all Exp_1 all Exp1_1 all List_4 all A_4 all Exp2_1 throw_list_char(Exp_1) != tryCatch_list_char(Exp1_1,List_4,A_4,Exp2_1)) # label(fact_890_exp_Osimps_I224_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 1003 (all Exp1 all List_3 all A_3 all Exp2 all Exp tryCatch_list_char(Exp1,List_3,A_3,Exp2) != throw_list_char(Exp)) # label(fact_891_exp_Osimps_I225_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 1004 (all Vsa all Es_1 (hBOOL(finals_list_char(append_exp_list_char(hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vsa),Es_1))) <-> hBOOL(finals_list_char(Es_1)))) # label(fact_892_finals__app__map) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 1005 (all Pa all Us all Vsa all Xs all Ys (hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys) -> (hBOOL(hAPP_list_ty_bool(list_all2_val_ty(Pa,append_val(Xs,Us)),append_ty(Ys,Vsa))) <-> hBOOL(hAPP_list_ty_bool(list_all2_val_ty(Pa,Xs),Ys)) & hBOOL(hAPP_list_ty_bool(list_all2_val_ty(Pa,Us),Vsa))))) # label(fact_893_list__all2__append) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 1006 (all Pa all Us all Vsa all Xs all Ys (hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys) -> (hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(Pa,append_ty(Xs,Us)),append_ty(Ys,Vsa))) <-> hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(Pa,Xs),Ys)) & hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(Pa,Us),Vsa))))) # label(fact_894_list__all2__append) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 1007 (all Pa all V all E_2 all S_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,seq_list_char(hAPP_v834067052t_char(val_list_char,V),E_2),S_1),E_2),S_1))) # label(fact_895_redp__redsp_ORedSeq) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 1008 (all V all F all D all Pa all Ea all S_1 all E all S (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S_1),E),S)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(hAPP_v834067052t_char(val_list_char,V),F,D,Ea),S_1),fAss_list_char(hAPP_v834067052t_char(val_list_char,V),F,D,E)),S)))) # label(fact_896_redp__redsp_OFAssRed2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 1009 (all V_1_2 all Bop all Pa all Ea all S_1 all E all S (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S_1),E),S)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_2),Bop,Ea),S_1),binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_2),Bop,E)),S)))) # label(fact_897_redp__redsp_OBinOpRed2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 1010 (all M_1 all Zs all Xs all Ys (hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_list_val_nat(size_size_list_val,Ys) -> map_up1085636310ar_val(M_1,append_list_char(Xs,Zs),Ys) = map_up1085636310ar_val(M_1,Xs,Ys))) # label(fact_898_fun__upds__append__drop) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 1011 (all M_1 all Zs all Xs all Ys (hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys) -> map_up891053837har_ty(M_1,append_list_char(Xs,Zs),Ys) = map_up891053837har_ty(M_1,Xs,Ys))) # label(fact_899_fun__upds__append__drop) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 1012 (all M_1 all Zs all Xs all Ys (hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_list_val_nat(size_size_list_val,Ys) -> map_up1085636310ar_val(M_1,Xs,append_val(Ys,Zs)) = map_up1085636310ar_val(M_1,Xs,Ys))) # label(fact_900_fun__upds__append2__drop) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 1013 (all M_1 all Zs all Xs all Ys (hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys) -> map_up891053837har_ty(M_1,Xs,append_ty(Ys,Zs)) = map_up891053837har_ty(M_1,Xs,Ys))) # label(fact_901_fun__upds__append2__drop) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 1014 (all Pa all V all C all V_1 all E_2 all S_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,tryCatch_list_char(hAPP_v834067052t_char(val_list_char,V),C,V_1,E_2),S_1),hAPP_v834067052t_char(val_list_char,V)),S_1))) # label(fact_902_redp__redsp_ORedTry) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 1015 (all E_1 all Pa all E_0 all S_0 all Ea all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_0,S_0),throw_list_char(Ea)),S_1_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,seq_list_char(E_0,E_1),S_0),throw_list_char(Ea)),S_1_2)))) # label(fact_903_eval__evals_OSeqThrow) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 1016 (all F all D all E_2 all Pa all E_1 all S_0 all E all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),throw_list_char(E)),S_1_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAss_list_char(E_1,F,D,E_2),S_0),throw_list_char(E)),S_1_2)))) # label(fact_904_eval__evals_OFAssThrow1) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 1017 (all M all Ps all Pa all Ea all S_0 all E all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),throw_list_char(E)),S_1_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,call_list_char(Ea,M,Ps),S_0),throw_list_char(E)),S_1_2)))) # label(fact_905_CallObjThrow) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 1018 (all Bop all E_2 all Pa all E_1 all S_0 all Ea all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),throw_list_char(Ea)),S_1_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,binOp_list_char(E_1,Bop,E_2),S_0),throw_list_char(Ea)),S_1_2)))) # label(fact_906_eval__evals_OBinOpThrow1) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 1019 (all Ea all S_1 all E all S all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),red(Pa))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Ea)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E)),S)),red(Pa))))) # label(fact_907_red__reds_OThrowRed) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 1020 (all Ea all S_1 all Pa hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(throw_list_char(Ea))),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Ea)),S_1)),red(Pa)))) # label(fact_908_red__reds_OThrowThrow) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 1021 (all F all D all E_2 all E all S_2_1 all Pa all E_1 all S_0 all V all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),hAPP_v834067052t_char(val_list_char,V)),S_1_2)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_2),throw_list_char(E)),S_2_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAss_list_char(E_1,F,D,E_2),S_0),throw_list_char(E)),S_2_1))))) # label(fact_909_eval__evals_OFAssThrow2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 1022 (all Bop all E_2 all Ea all S_2_1 all Pa all E_1 all S_0 all V_1_2 all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),hAPP_v834067052t_char(val_list_char,V_1_2)),S_1_2)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_2),throw_list_char(Ea)),S_2_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,binOp_list_char(E_1,Bop,E_2),S_0),throw_list_char(Ea)),S_2_1))))) # label(fact_910_eval__evals_OBinOpThrow2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 1023 (all V all M all S_1 all Pa all Es_1 all Vsa all Ea all Es (Es_1 = append_exp_list_char(hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vsa),hAPP_l2011456725t_char(cons_exp_list_char(throw_list_char(Ea)),Es)) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,V),M,Es_1)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Ea)),S_1)),red(Pa))))) # label(fact_911_red__reds_OCallThrowParams) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 1024 (all Ea all S_1 all A_1 all S all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A_1)),S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Ea)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A_1)),S)),transi2024712006on_val(red(Pa)))))) # label(fact_912_ThrowRedsThrow) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 1025 (all Ea all S_1 all E all S all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Ea)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E)),S)),transi2024712006on_val(red(Pa)))))) # label(fact_913_ThrowReds) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 1026 (all Ea all E_2 all S_1 all Pa hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(throw_list_char(Ea),E_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Ea)),S_1)),red(Pa)))) # label(fact_914_red__reds_OSeqThrow) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 1027 (all Ea all F all D all E_2 all S_1 all Pa hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(throw_list_char(Ea),F,D,E_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Ea)),S_1)),red(Pa)))) # label(fact_915_red__reds_OFAssThrow1) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 1028 (all Ea all M all Es_1 all S_1 all Pa hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(throw_list_char(Ea),M,Es_1)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Ea)),S_1)),red(Pa)))) # label(fact_916_red__reds_OCallThrowObj) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 1029 (all Ea all Bop all E_2 all S_1 all Pa hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(throw_list_char(Ea),Bop,E_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Ea)),S_1)),red(Pa)))) # label(fact_917_red__reds_OBinOpThrow1) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 1030 (all V all F all D all Ea all S_1 all Pa hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,V),F,D,throw_list_char(Ea))),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Ea)),S_1)),red(Pa)))) # label(fact_918_red__reds_OFAssThrow2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 1031 (all V_1_2 all Bop all Ea all S_1 all Pa hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_2),Bop,throw_list_char(Ea))),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Ea)),S_1)),red(Pa)))) # label(fact_919_red__reds_OBinOpThrow2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 1032 (all E_2 all Ea all S_1 all E all S all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E)),S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(Ea,E_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E)),S)),transi2024712006on_val(red(Pa)))))) # label(fact_920_SeqRedsThrow) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 1033 (all F all D all E_2 all Ea all S_1 all E all S all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E)),S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(Ea,F,D,E_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E)),S)),transi2024712006on_val(red(Pa)))))) # label(fact_921_FAssRedsThrow1) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 1034 (all M all Es_1 all Ea all S0 all A_1 all S_1_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A_1)),S_1_2)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(Ea,M,Es_1)),S0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A_1)),S_1_2)),transi2024712006on_val(red(Pa)))))) # label(fact_922_CallRedsThrowObj) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 1035 (all Bop all E_2 all Ea all S_1 all E all S all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E)),S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(Ea,Bop,E_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E)),S)),transi2024712006on_val(red(Pa)))))) # label(fact_923_BinOpRedsThrow1) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 1036 (all F all D all E_2 all Ea all S_2_1 all E_1 all S_0 all V all S_1_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V)),S_1_2)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S_1_2)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Ea)),S_2_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(E_1,F,D,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Ea)),S_2_1)),transi2024712006on_val(red(Pa))))))) # label(fact_924_FAssRedsThrow2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.53 1037 (all Pa all E_1 all Bop all E_2 all S_1 all E all S (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,binOp_list_char(E_1,Bop,E_2),S_1),E),S)) -> ((all V_1_1 all S_1_1 all V_2_2 all V_4 (E = hAPP_v834067052t_char(val_list_char,V_4) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_1),hAPP_v834067052t_char(val_list_char,V_1_1)),S_1_1)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_1),hAPP_v834067052t_char(val_list_char,V_2_2)),S)) -> binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Bop),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,V_1_1),V_2_2))) != hAPP_val_option_val(some_val,V_4))))) -> ((all E_7 (E = throw_list_char(E_7) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_1),throw_list_char(E_7)),S)))) -> -(all V_1_1 all S_1_1 all E_7 (E = throw_list_char(E_7) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_1),hAPP_v834067052t_char(val_list_char,V_1_1)),S_1_1)) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_1),throw_list_char(E_7)),S))))))))) # label(fact_925_eval__cases_I3_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1038 (all M all Es_1 all Vsa all Ex all Es all S_2_1 all Pa all Ea all S_0 all V all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,V)),S_1_2)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Es_1,S_1_2),append_exp_list_char(hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vsa),hAPP_l2011456725t_char(cons_exp_list_char(throw_list_char(Ex)),Es))),S_2_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,call_list_char(Ea,M,Es_1),S_0),throw_list_char(Ex)),S_2_1))))) # label(fact_926_CallParamsThrow) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1039 (all Pa all Es_1 all S_1 all Es all S (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Es_1,S_1),Es),S)) -> hBOOL(finals_list_char(Es)))) # label(fact_927_evals__final) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1040 (all Pa all S_1 all Es_1 (hBOOL(finals_list_char(Es_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Es_1,S_1),Es_1),S_1)))) # label(fact_928_eval__finalsId) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1041 (all Pa all Es_1 all Ha all L_1 all Es all H all L (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Es_1,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1)),Es),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L))) -> hBOOL(hext(Ha,H)))) # label(fact_929_evals__hext) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1042 (all Es_1 all Es all S_2_1 all Pa all Ea all S_0 all V all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,V)),S_1_2)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Es_1,S_1_2),Es),S_2_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,hAPP_l2011456725t_char(cons_exp_list_char(Ea),Es_1),S_0),hAPP_l2011456725t_char(cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V)),Es)),S_2_1))))) # label(fact_930_eval__evals_OCons) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1043 (all Es_1 all Pa all Ea all S_0 all E all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),throw_list_char(E)),S_1_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,hAPP_l2011456725t_char(cons_exp_list_char(Ea),Es_1),S_0),hAPP_l2011456725t_char(cons_exp_list_char(throw_list_char(E)),Es_1)),S_1_2)))) # label(fact_931_ConsThrow) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1044 (all Vsa all Es all Pa all X_2 all S_1 all E all S (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(X_2),S_1),E),S)) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,append_exp_list_char(hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vsa),hAPP_l2011456725t_char(cons_exp_list_char(throw_list_char(X_2)),Es)),S_1),append_exp_list_char(hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vsa),hAPP_l2011456725t_char(cons_exp_list_char(E),Es))),S)))) # label(fact_932_list__eval__Throw) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1045 (all Pa all Ea all Es_1 all S_1 all E all S (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,hAPP_l2011456725t_char(cons_exp_list_char(Ea),Es_1),S_1),E),S)) -> ((all V_4 all S_1_1 all Es_3 (E = hAPP_l2011456725t_char(cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_4)),Es_3) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),hAPP_v834067052t_char(val_list_char,V_4)),S_1_1)) -> -hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Es_1,S_1_1),Es_3),S))))) -> -(all E_3 (E = hAPP_l2011456725t_char(cons_exp_list_char(throw_list_char(E_3)),Es_1) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),throw_list_char(E_3)),S))))))) # label(fact_933_evals__cases_I2_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1046 (all Pa all E_1 all E_2 all S_1 all E all S (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,seq_list_char(E_1,E_2),S_1),E),S)) -> ((all V_4 all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_1),hAPP_v834067052t_char(val_list_char,V_4)),S_1_1)) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_1),E),S)))) -> -(all E_7 (E = throw_list_char(E_7) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_1),throw_list_char(E_7)),S))))))) # label(fact_934_eval__cases_I9_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1047 (all V all M all Pa all Es_1 all S_1 all Es all S (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(Pa,Es_1,S_1),Es),S)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(hAPP_v834067052t_char(val_list_char,V),M,Es_1),S_1),call_list_char(hAPP_v834067052t_char(val_list_char,V),M,Es)),S)))) # label(fact_935_redp__redsp_OCallParams) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1048 (all Ta all Pa all Ha all E_4 all Ea all T_r (hBOOL(wTrt(Pa,Ha,E_4,Ea,T_r)) -> (hBOOL(is_refT(T_r)) -> hBOOL(wTrt(Pa,Ha,E_4,throw_list_char(Ea),Ta))))) # label(fact_936_WTrtThrow) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1049 (all V all Pa all Es_1 all S_1 all Es all S (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(Pa,Es_1,S_1),Es),S)) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(Pa,hAPP_l2011456725t_char(cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V)),Es_1),S_1),hAPP_l2011456725t_char(cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V)),Es)),S)))) # label(fact_937_redp__redsp_OListRed2) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1050 (all Es_1 all Pa all Ea all S_1 all E all S (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S_1),E),S)) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(Pa,hAPP_l2011456725t_char(cons_exp_list_char(Ea),Es_1),S_1),hAPP_l2011456725t_char(cons_exp_list_char(E),Es_1)),S)))) # label(fact_938_redp__redsp_OListRed1) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1051 (all Pa all Ha all E_4 all Ea all Ta (hBOOL(wTrt(Pa,Ha,E_4,throw_list_char(Ea),Ta)) -> -(all T_r_1 (hBOOL(wTrt(Pa,Ha,E_4,Ea,T_r_1)) -> -hBOOL(is_refT(T_r_1)))))) # label(fact_939_WTrt__elim__cases_I4_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1052 (all C_2 all B all S_1 all Ea all S all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Ea)),S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,while_list_char(B,C_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Ea)),S)),transi2024712006on_val(red(Pa)))))) # label(fact_940_WhileRedsThrow) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1053 (all F all D all Ea all S_1 all A_1 all S all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A_1)),S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(Ea,F,D)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A_1)),S)),transi2024712006on_val(red(Pa)))))) # label(fact_941_FAccRedsThrow) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1054 (all C all Ea all S_1 all A_1 all S all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A_1)),S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,Ea)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A_1)),S)),transi2024712006on_val(red(Pa)))))) # label(fact_942_CastRedsThrow) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1055 (all C all Pa all Ea all S_1 all E all S (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S_1),E),S)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cast_list_char(C,Ea),S_1),cast_list_char(C,E)),S)))) # label(fact_943_redp__redsp_OCastRed) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1056 (all F all D all Pa all Ea all S_1 all E all S (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S_1),E),S)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAcc_list_char(Ea,F,D),S_1),fAcc_list_char(E,F,D)),S)))) # label(fact_944_redp__redsp_OFAccRed) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1057 (all C all Pa all Ea all S_0 all E all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),throw_list_char(E)),S_1_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cast_list_char(C,Ea),S_0),throw_list_char(E)),S_1_2)))) # label(fact_945_eval__evals_OCastThrow) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1058 (all F all D all Pa all Ea all S_0 all E all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),throw_list_char(E)),S_1_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAcc_list_char(Ea,F,D),S_0),throw_list_char(E)),S_1_2)))) # label(fact_946_eval__evals_OFAccThrow) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1059 (all C_2 all Pa all Ea all S_0 all E all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),throw_list_char(E)),S_1_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Ea,C_2),S_0),throw_list_char(E)),S_1_2)))) # label(fact_947_WhileCondThrow) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1060 (all Pa all C all Ea all S_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cast_list_char(C,throw_list_char(Ea)),S_1),throw_list_char(Ea)),S_1))) # label(fact_948_redp__redsp_OCastThrow) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1061 (all Pa all Ea all F all D all S_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAcc_list_char(throw_list_char(Ea),F,D),S_1),throw_list_char(Ea)),S_1))) # label(fact_949_redp__redsp_OFAccThrow) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1062 (all C all Ea all S_1 all E all S all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),red(Pa))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,Ea)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,E)),S)),red(Pa))))) # label(fact_950_red__reds_OCastRed) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1063 (all F all D all Ea all S_1 all E all S all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),red(Pa))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(Ea,F,D)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(E,F,D)),S)),red(Pa))))) # label(fact_951_red__reds_OFAccRed) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1064 (all C all Ea all S_1 all Pa hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,throw_list_char(Ea))),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Ea)),S_1)),red(Pa)))) # label(fact_952_red__reds_OCastThrow) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1065 (all C all Ea all S_1 all E all S all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,Ea)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,E)),S)),transi2024712006on_val(red(Pa)))))) # label(fact_953_CastReds) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1066 (all Ea all F all D all S_1 all Pa hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(throw_list_char(Ea),F,D)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Ea)),S_1)),red(Pa)))) # label(fact_954_red__reds_OFAccThrow) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1067 (all F all D all Ea all S_1 all E all S all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(Ea,F,D)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(E,F,D)),S)),transi2024712006on_val(red(Pa)))))) # label(fact_955_FAccReds) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1068 (all C_2 all Ea all S_2_1 all B all S_0 all S_1_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1_2)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,C_2),S_1_2)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Ea)),S_2_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,while_list_char(B,C_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Ea)),S_2_1)),transi2024712006on_val(red(Pa))))))) # label(fact_956_WhileTRedsThrow) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1069 (all E_3_1 all S_3_1 all C_2 all V_1_2 all S_2_1 all Pa all Ea all S_0 all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1_2)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,C_2,S_1_2),hAPP_v834067052t_char(val_list_char,V_1_2)),S_2_1)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Ea,C_2),S_2_1),E_3_1),S_3_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Ea,C_2),S_0),E_3_1),S_3_1)))))) # label(fact_957_WhileT) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1070 (all C_2 all E all S_2_1 all Pa all Ea all S_0 all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1_2)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,C_2,S_1_2),throw_list_char(E)),S_2_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Ea,C_2),S_0),throw_list_char(E)),S_2_1))))) # label(fact_958_WhileBodyThrow) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1071 (all Ea all S_3_1 all C_2 all V_1_2 all S_2_1 all B all S_0 all S_1_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1_2)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,C_2),S_1_2)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_1_2)),S_2_1)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,while_list_char(B,C_2)),S_2_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_3_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,while_list_char(B,C_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_3_1)),transi2024712006on_val(red(Pa)))))))) # label(fact_959_WhileTReds) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1072 (all V_1_2 all V_2 binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,c_Expr_Obop_OEq),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,V_1_2),V_2))) = hAPP_val_option_val(some_val,bool(hAPP_val_bool(hAPP_v1392248405l_bool(fequal_val,V_1_2),V_2)))) # label(fact_960_binop_Osimps_I1_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1073 (all C_2 all B all S_1 all S all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,bool(fFalse))),S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,while_list_char(B,C_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,unit)),S)),transi2024712006on_val(red(Pa)))))) # label(fact_961_WhileFReds) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1074 (all C all Ea all S_1 all S all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,Ea)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S)),transi2024712006on_val(red(Pa)))))) # label(fact_962_CastRedsNull) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1075 (all F all D all V all C all Fs_1 all Pa all Ea all S_0 all A_1 all Ha all L_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,addr(A_1))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))) -> (hAPP_n546249108on_val(Ha,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_1)) -> (hAPP_P2094403585on_val(Fs_1,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,F),D)) = hAPP_val_option_val(some_val,V) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAcc_list_char(Ea,F,D),S_0),hAPP_v834067052t_char(val_list_char,V)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))))))) # label(fact_963_FAcc) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1076 (all E_2 all E_1 all E all S_2_1 all Ea all S_0 all S_1_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1_2)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1),S_1_2)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S_2_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(Ea,E_1,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S_2_1)),transi2024712006on_val(red(Pa))))))) # label(fact_964_CondReds2T) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1077 (all E_1 all E_2 all Pa all Ea all S_1 all E all S (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S_1),E),S)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cond_list_char(Ea,E_1,E_2),S_1),cond_list_char(E,E_1,E_2)),S)))) # label(fact_965_redp__redsp_OCondRed) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1078 (all E_1 all E_2 all Pa all Ea all S_0 all E all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),throw_list_char(E)),S_1_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(Ea,E_1,E_2),S_0),throw_list_char(E)),S_1_2)))) # label(fact_966_eval__evals_OCondThrow) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1079 (all Pa all Ea all E_1 all E_2 all S_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cond_list_char(throw_list_char(Ea),E_1,E_2),S_1),throw_list_char(Ea)),S_1))) # label(fact_967_redp__redsp_OCondThrow) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1080 (all Pa all B all C_2 all S_1 all E all S (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(B,C_2),S_1),E),S)) <-> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(B,seq_list_char(C_2,while_list_char(B,C_2)),hAPP_v834067052t_char(val_list_char,unit)),S_1),E),S)))) # label(fact_968_unfold__while) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1081 (all Pa all B all C_2 all S_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,while_list_char(B,C_2),S_1),cond_list_char(B,seq_list_char(C_2,while_list_char(B,C_2)),hAPP_v834067052t_char(val_list_char,unit))),S_1))) # label(fact_969_redp__redsp_ORedWhile) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1082 (all Pa all Ea all S_0 all A_1 all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,addr(A_1))),S_1_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(Ea),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)))),S_1_2)))) # label(fact_970_Throw) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1083 (all E_1 all E_2 all Ea all S_1 all E all S all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),red(Pa))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(Ea,E_1,E_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(E,E_1,E_2)),S)),red(Pa))))) # label(fact_971_red__reds_OCondRed) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1084 (all E_2 all E_1 all E all S_2_1 all Pa all Ea all S_0 all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1_2)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_1_2),E),S_2_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(Ea,E_1,E_2),S_0),E),S_2_1))))) # label(fact_972_CondT) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1085 (all E_1 all E_2 all E all S_2_1 all Pa all Ea all S_0 all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,bool(fFalse))),S_1_2)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_2),E),S_2_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(Ea,E_1,E_2),S_0),E),S_2_1))))) # label(fact_973_CondF) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1086 (all Pa all E_1 all E_2 all S_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cond_list_char(hAPP_v834067052t_char(val_list_char,bool(fTrue)),E_1,E_2),S_1),E_1),S_1))) # label(fact_974_redp__redsp_ORedCondT) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1087 (all Pa all E_1 all E_2 all S_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cond_list_char(hAPP_v834067052t_char(val_list_char,bool(fFalse)),E_1,E_2),S_1),E_2),S_1))) # label(fact_975_redp__redsp_ORedCondF) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1088 (all B all C_2 all S_1 all Pa hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,while_list_char(B,C_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(B,seq_list_char(C_2,while_list_char(B,C_2)),hAPP_v834067052t_char(val_list_char,unit))),S_1)),red(Pa)))) # label(fact_976_red__reds_ORedWhile) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1089 (all C all Pa all Ea all S_0 all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cast_list_char(C,Ea),S_0),hAPP_v834067052t_char(val_list_char,null)),S_1_2)))) # label(fact_977_CastNull) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1090 (all Pa all C all S_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cast_list_char(C,hAPP_v834067052t_char(val_list_char,null)),S_1),hAPP_v834067052t_char(val_list_char,null)),S_1))) # label(fact_978_redp__redsp_ORedCastNull) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1091 (all Ea all E_1 all E_2 all S_1 all Pa hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(throw_list_char(Ea),E_1,E_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Ea)),S_1)),red(Pa)))) # label(fact_979_red__reds_OCondThrow) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1092 (all E_1 all E_2 all Ea all S_1 all E all S all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(Ea,E_1,E_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(E,E_1,E_2)),S)),transi2024712006on_val(red(Pa)))))) # label(fact_980_CondReds) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1093 (all E_1 all E_2 all Ea all S_1 all A_1 all S all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A_1)),S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(Ea,E_1,E_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A_1)),S)),transi2024712006on_val(red(Pa)))))) # label(fact_981_CondRedsThrow) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1094 (all E_1 all E_2 all S_1 all Pa hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(hAPP_v834067052t_char(val_list_char,bool(fFalse)),E_1,E_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S_1)),red(Pa)))) # label(fact_982_red__reds_ORedCondF) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1095 (all E_1 all E_2 all S_1 all Pa hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(hAPP_v834067052t_char(val_list_char,bool(fTrue)),E_1,E_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1),S_1)),red(Pa)))) # label(fact_983_red__reds_ORedCondT) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1096 (all C_2 all Pa all Ea all S_0 all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,bool(fFalse))),S_1_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Ea,C_2),S_0),hAPP_v834067052t_char(val_list_char,unit)),S_1_2)))) # label(fact_984_WhileF) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1097 (all C all S_1 all Pa hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,hAPP_v834067052t_char(val_list_char,null))),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S_1)),red(Pa)))) # label(fact_985_red__reds_ORedCastNull) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1098 (all E_1 all E_2 all E all S_2_1 all Ea all S_0 all S_1_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,bool(fFalse))),S_1_2)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S_1_2)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S_2_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(Ea,E_1,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S_2_1)),transi2024712006on_val(red(Pa))))))) # label(fact_986_CondReds2F) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1099 (all F all D all V all C all Fs_1 all Ea all S_1 all A_1 all S all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A_1))),S)),transi2024712006on_val(red(Pa)))) -> (hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S),A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_1)) -> (hAPP_P2094403585on_val(Fs_1,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,F),D)) = hAPP_val_option_val(some_val,V) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(Ea,F,D)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V)),S)),transi2024712006on_val(red(Pa)))))))) # label(fact_987_FAccRedsVal) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1100 (all Pa all F all D all V all S_1 all A_1 all C all Fs_1 (hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_1),A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_1)) -> (hAPP_P2094403585on_val(Fs_1,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,F),D)) = hAPP_val_option_val(some_val,V) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)),F,D)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V)),S_1)),red(Pa)))))) # label(fact_988_red__reds_ORedFAcc) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1101 (all V_1 all E_2 all C all D all Fs_1 all E_1 all S_1 all A_1 all Ha all L_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))),transi2024712006on_val(red(Pa)))) -> (hAPP_n546249108on_val(Ha,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs_1)) -> (-hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C),transi1395422419t_char(subcls851966956t_char(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(E_1,C,V_1,E_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))),transi2024712006on_val(red(Pa)))))))) # label(fact_989_TryRedsFail) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1102 (all Pa all F all D all V all S_1 all A_1 all C all Fs_1 (hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_1),A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_1)) -> (hAPP_P2094403585on_val(Fs_1,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,F),D)) = hAPP_val_option_val(some_val,V) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAcc_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)),F,D),S_1),hAPP_v834067052t_char(val_list_char,V)),S_1))))) # label(fact_990_redp__redsp_ORedFAcc) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1103 (all C all Pa all S_1 all A_1 all D all Fs_1 (hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_1),A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs_1)) -> (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C),transi1395422419t_char(subcls851966956t_char(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,hAPP_v834067052t_char(val_list_char,addr(A_1)))),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A_1))),S_1)),red(Pa)))))) # label(fact_991_red__reds_ORedCast) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1104 (all V_1 all E_2 all C all Pa all S_1 all A_1 all D all Fs_1 (hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_1),A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs_1)) -> (-hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C),transi1395422419t_char(subcls851966956t_char(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1))),C,V_1,E_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)))),S_1)),red(Pa)))))) # label(fact_992_red__reds_ORedTryFail) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1105 (all C all D all Fs_1 all Ea all S_1 all A_1 all S all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A_1))),S)),transi2024712006on_val(red(Pa)))) -> (hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S),A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs_1)) -> (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C),transi1395422419t_char(subcls851966956t_char(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,Ea)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A_1))),S)),transi2024712006on_val(red(Pa)))))))) # label(fact_993_CastRedsAddr) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1106 (all C all D all Fs_1 all Pa all Ea all S_0 all A_1 all Ha all L_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,addr(A_1))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))) -> (hAPP_n546249108on_val(Ha,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs_1)) -> (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C),transi1395422419t_char(subcls851966956t_char(Pa)))) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cast_list_char(C,Ea),S_0),hAPP_v834067052t_char(val_list_char,addr(A_1))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))))))) # label(fact_994_Cast) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1107 (all V_1 all E_2 all C all D all Fs_1 all Pa all E_1 all S_0 all A_1 all H_1 all L_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),L_1_1))) -> (hAPP_n546249108on_val(H_1,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs_1)) -> (-hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C),transi1395422419t_char(subcls851966956t_char(Pa)))) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,tryCatch_list_char(E_1,C,V_1,E_2),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),L_1_1))))))) # label(fact_995_TryThrow) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1108 (all E_2 all V_1 all E_2_1 all H_2 all L_2 all C all D all Fs_1 all E_1 all S_0 all A_1 all H_1 all L_1_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),L_1_1))),transi2024712006on_val(red(Pa)))) -> (hAPP_n546249108on_val(H_1,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs_1)) -> (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C),transi1395422419t_char(subcls851966956t_char(Pa)))) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),fun_up1149430426on_val(L_1_1,V_1,hAPP_val_option_val(some_val,addr(A_1)))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),L_2))),transi2024712006on_val(red(Pa)))) -> (hBOOL(final_list_char(E_2_1)) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(E_1,C,V_1,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),fun_up1149430426on_val(L_2,V_1,hAPP_l207779698on_val(L_1_1,V_1))))),transi2024712006on_val(red(Pa)))))))))) # label(fact_996_TryCatchRedsFinal) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1109 (all E_4 all Tsa all Es_1 all S_1 all Es all S all Pa (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_1),S_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es),S)),reds(Pa))) -> (hBOOL(wTrts_1(Pa,hAPP_P703866694on_val(hp,S_1),E_4,Es_1,Tsa)) -> (hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(Pa,E_4),S_1)) -> hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(Pa,E_4),S)))))) # label(fact_997_reds__preserves__sconf) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1110 (all E_4 all Ta all Ea all S_1 all E all S all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),red(Pa))) -> (hBOOL(wTrt(Pa,hAPP_P703866694on_val(hp,S_1),E_4,Ea,Ta)) -> (hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(Pa,E_4),S_1)) -> hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(Pa,E_4),S)))))) # label(fact_998_red__preserves__sconf) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1111 (all E_2 all V_1 all E_2_1 all H_2 all L_2 all C all D all Fs_1 all Pa all E_1 all S_0 all A_1 all H_1 all L_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),L_1_1))) -> (hAPP_n546249108on_val(H_1,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs_1)) -> (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C),transi1395422419t_char(subcls851966956t_char(Pa)))) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),fun_up1149430426on_val(L_1_1,V_1,hAPP_val_option_val(some_val,addr(A_1))))),E_2_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),L_2))) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,tryCatch_list_char(E_1,C,V_1,E_2),S_0),E_2_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),fun_up1149430426on_val(L_2,V_1,hAPP_l207779698on_val(L_1_1,V_1)))))))))) # label(fact_999_TryCatch) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1112 (all C all D all Fs_1 all Ea all S_1 all A_1 all S all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A_1))),S)),transi2024712006on_val(red(Pa)))) -> (hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S),A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs_1)) -> (-hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C),transi1395422419t_char(subcls851966956t_char(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,Ea)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(hAPP_list_char_nat(addr_of_sys_xcpt,classCast))))),S)),transi2024712006on_val(red(Pa)))))))) # label(fact_1000_CastRedsFail) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1113 (all C all D all Fs_1 all Pa all Ea all S_0 all A_1 all Ha all L_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,addr(A_1))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))) -> (hAPP_n546249108on_val(Ha,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs_1)) -> (-hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C),transi1395422419t_char(subcls851966956t_char(Pa)))) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cast_list_char(C,Ea),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(hAPP_list_char_nat(addr_of_sys_xcpt,classCast))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))))))) # label(fact_1001_CastFail) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1114 (all C all Pa all S_1 all A_1 all D all Fs_1 (hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_1),A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs_1)) -> (-hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C),transi1395422419t_char(subcls851966956t_char(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,hAPP_v834067052t_char(val_list_char,addr(A_1)))),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(hAPP_list_char_nat(addr_of_sys_xcpt,classCast))))),S_1)),red(Pa)))))) # label(fact_1002_red__reds_ORedCastFail) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1115 (all M all Es_1 all Vsa all S_2_1 all Ea all S_0 all S_1_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S_1_2)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_1),S_1_2)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vsa)),S_2_1)),transi374442731on_val(reds(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(Ea,M,Es_1)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(hAPP_list_char_nat(addr_of_sys_xcpt,nullPointer))))),S_2_1)),transi2024712006on_val(red(Pa))))))) # label(fact_1003_CallRedsNull) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1116 (all M all Vsa all S_1 all Pa hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,null),M,hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vsa))),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(hAPP_list_char_nat(addr_of_sys_xcpt,nullPointer))))),S_1)),red(Pa)))) # label(fact_1004_red__reds_ORedCallNull) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1117 (all F all D all Ea all S_1 all S all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(Ea,F,D)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(hAPP_list_char_nat(addr_of_sys_xcpt,nullPointer))))),S)),transi2024712006on_val(red(Pa)))))) # label(fact_1005_FAccRedsNull) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1118 (all F all D all E_2 all V all S_2_1 all E_1 all S_0 all S_1_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S_1_2)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S_1_2)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V)),S_2_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(E_1,F,D,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(hAPP_list_char_nat(addr_of_sys_xcpt,nullPointer))))),S_2_1)),transi2024712006on_val(red(Pa))))))) # label(fact_1006_FAssRedsNull) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1119 (all Fs_2 all Ha all A_1 all C all Fs_1 (hAPP_n546249108on_val(Ha,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_1)) -> hBOOL(hext(Ha,fun_up2041264236on_val(Ha,A_1,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_2))))))) # label(fact_1007_hext__upd__obj) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1120 (all H_2_1 all Fs_2 all F all D all C all Fs_1 all E_2 all V all H_2 all L_2 all Pa all E_1 all S_0 all A_1 all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),hAPP_v834067052t_char(val_list_char,addr(A_1))),S_1_2)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_2),hAPP_v834067052t_char(val_list_char,V)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),L_2))) -> (hAPP_n546249108on_val(H_2,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_1)) -> (Fs_2 = fun_up204312361on_val(Fs_1,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,F),D),hAPP_val_option_val(some_val,V)) -> (H_2_1 = fun_up2041264236on_val(H_2,A_1,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_2))) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAss_list_char(E_1,F,D,E_2),S_0),hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2_1),L_2))))))))) # label(fact_1008_FAss) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1121 (all Pa all F all D all V all L_1 all Ha all A_1 all C all Fs_1 (hAPP_n546249108on_val(Ha,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)),F,D,hAPP_v834067052t_char(val_list_char,V)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1)),hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,fun_up2041264236on_val(Ha,A_1,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),fun_up204312361on_val(Fs_1,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,F),D),hAPP_val_option_val(some_val,V)))))),L_1))))) # label(fact_1009_redp__redsp_ORedFAss) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1122 (all F all D all V all L_1 all Pa all Ha all A_1 all C all Fs_1 (hAPP_n546249108on_val(Ha,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_1)) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)),F,D,hAPP_v834067052t_char(val_list_char,V))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,fun_up2041264236on_val(Ha,A_1,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),fun_up204312361on_val(Fs_1,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,F),D),hAPP_val_option_val(some_val,V)))))),L_1))),red(Pa))))) # label(fact_1010_red__reds_ORedFAss) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1123 (all F all D all C all Fs_1 all E_2 all V all H_2 all L_2 all E_1 all S_0 all A_1 all S_1_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A_1))),S_1_2)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S_1_2)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),L_2))),transi2024712006on_val(red(Pa)))) -> (hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_1)) = hAPP_n546249108on_val(H_2,A_1) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(E_1,F,D,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,fun_up2041264236on_val(H_2,A_1,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),fun_up204312361on_val(Fs_1,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,F),D),hAPP_val_option_val(some_val,V)))))),L_2))),transi2024712006on_val(red(Pa)))))))) # label(fact_1011_FAssRedsVal) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1124 (all Pa all Ea all S_0 all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(Ea),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(hAPP_list_char_nat(addr_of_sys_xcpt,nullPointer))))),S_1_2)))) # label(fact_1012_ThrowNull) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1125 (all Pa all S_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,throw_list_char(hAPP_v834067052t_char(val_list_char,null)),S_1),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(hAPP_list_char_nat(addr_of_sys_xcpt,nullPointer))))),S_1))) # label(fact_1013_redp__redsp_ORedThrowNull) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1126 (all F all D all E_2 all V all S_2_1 all Pa all E_1 all S_0 all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1_2)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_2),hAPP_v834067052t_char(val_list_char,V)),S_2_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAss_list_char(E_1,F,D,E_2),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(hAPP_list_char_nat(addr_of_sys_xcpt,nullPointer))))),S_2_1))))) # label(fact_1014_FAssNull) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1127 (all F all D all Pa all Ea all S_0 all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAcc_list_char(Ea,F,D),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(hAPP_list_char_nat(addr_of_sys_xcpt,nullPointer))))),S_1_2)))) # label(fact_1015_FAccNull) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1128 (all Pa all F all D all V all S_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(hAPP_v834067052t_char(val_list_char,null),F,D,hAPP_v834067052t_char(val_list_char,V)),S_1),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(hAPP_list_char_nat(addr_of_sys_xcpt,nullPointer))))),S_1))) # label(fact_1016_redp__redsp_ORedFAssNull) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1129 (all Pa all F all D all S_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAcc_list_char(hAPP_v834067052t_char(val_list_char,null),F,D),S_1),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(hAPP_list_char_nat(addr_of_sys_xcpt,nullPointer))))),S_1))) # label(fact_1017_redp__redsp_ORedFAccNull) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1130 (all S_1 all Pa hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,null))),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(hAPP_list_char_nat(addr_of_sys_xcpt,nullPointer))))),S_1)),red(Pa)))) # label(fact_1018_red__reds_ORedThrowNull) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1131 (all Pa all M all Vsa all S_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(hAPP_v834067052t_char(val_list_char,null),M,hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vsa)),S_1),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(hAPP_list_char_nat(addr_of_sys_xcpt,nullPointer))))),S_1))) # label(fact_1019_redp__redsp_ORedCallNull) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1132 (all Ea all S_1 all S all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Ea)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(hAPP_list_char_nat(addr_of_sys_xcpt,nullPointer))))),S)),transi2024712006on_val(red(Pa)))))) # label(fact_1020_ThrowRedsNull) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1133 (all F all D all V all S_1 all Pa hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,null),F,D,hAPP_v834067052t_char(val_list_char,V))),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(hAPP_list_char_nat(addr_of_sys_xcpt,nullPointer))))),S_1)),red(Pa)))) # label(fact_1021_red__reds_ORedFAssNull) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1134 (all F all D all S_1 all Pa hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(hAPP_v834067052t_char(val_list_char,null),F,D)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(hAPP_list_char_nat(addr_of_sys_xcpt,nullPointer))))),S_1)),red(Pa)))) # label(fact_1022_red__reds_ORedFAccNull) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1135 (all M all Ps all Vsa all S_2_1 all Pa all Ea all S_0 all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1_2)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Ps,S_1_2),hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vsa)),S_2_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,call_list_char(Ea,M,Ps),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(hAPP_list_char_nat(addr_of_sys_xcpt,nullPointer))))),S_2_1))))) # label(fact_1023_CallNull) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1136 (all Pa all Ea all S_1 all E all S (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(Ea),S_1),E),S)) -> ((all A_2 (E = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_2))) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),hAPP_v834067052t_char(val_list_char,addr(A_2))),S)))) -> ((E = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(hAPP_list_char_nat(addr_of_sys_xcpt,nullPointer)))) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),hAPP_v834067052t_char(val_list_char,null)),S))) -> -(all E_3 (E = throw_list_char(E_3) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),throw_list_char(E_3)),S)))))))) # label(fact_1024_eval__cases_I12_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1137 (all Vsa all Pa all M all Tsa all Ta all Pns all Body all D all S_1 all A_1 all C all Fs_1 (hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_1),A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_1)) -> (hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Tsa,Ta,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Pns),Body)),D)) -> (hAPP_list_val_nat(size_size_list_val,Vsa) = hAPP_l66428094ar_nat(size_s2113983095t_char,Pns) -> (hAPP_list_ty_nat(size_size_list_ty,Tsa) = hAPP_l66428094ar_nat(size_s2113983095t_char,Pns) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)),M,hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vsa))),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,hAPP_l407174677t_char(cons_list_char(this),Pns)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,hAPP_list_ty_list_ty(cons_ty(hAPP_list_char_ty(class,D)),Tsa)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,hAPP_l273806049st_val(cons_val(addr(A_1)),Vsa)),Body))))),S_1)),red(Pa)))))))) # label(fact_1025_red__reds_ORedCall) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1138 (all V_1 all Ea all S_1 all V all H all L all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L))),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(V_1,Ea)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),fun_up1149430426on_val(L,V_1,hAPP_val_option_val(some_val,V))))),transi2024712006on_val(red(Pa)))))) # label(fact_1026_LAssRedsVal) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1139 (all Vsa all Pa all M all Tsa all Ta all Pns all Body all D all S_1 all A_1 all C all Fs_1 (hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_1),A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_1)) -> (hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Tsa,Ta,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Pns),Body)),D)) -> (hAPP_list_val_nat(size_size_list_val,Vsa) = hAPP_l66428094ar_nat(size_s2113983095t_char,Pns) -> (hAPP_list_ty_nat(size_size_list_ty,Tsa) = hAPP_l66428094ar_nat(size_s2113983095t_char,Pns) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)),M,hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vsa)),S_1),blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,hAPP_l407174677t_char(cons_list_char(this),Pns)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,hAPP_list_ty_list_ty(cons_ty(hAPP_list_char_ty(class,D)),Tsa)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,hAPP_l273806049st_val(cons_val(addr(A_1)),Vsa)),Body))))),S_1))))))) # label(fact_1027_redp__redsp_ORedCall) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1140 (all V_1 all C all E_2 all T_2_1 all Pa all Ha all E_4 all E_1 all T_1_1 (hBOOL(wTrt(Pa,Ha,E_4,E_1,T_1_1)) -> (hBOOL(wTrt(Pa,Ha,fun_up424764369ion_ty(E_4,V_1,hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,C))),E_2,T_2_1)) -> (hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_1_1),T_2_1)) -> hBOOL(wTrt(Pa,Ha,E_4,tryCatch_list_char(E_1,C,V_1,E_2),T_2_1)))))) # label(fact_1028_WTrtTry) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1141 (all V_1 all Pa all Ea all S_1 all E all S (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S_1),E),S)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,lAss_list_char(V_1,Ea),S_1),lAss_list_char(V_1,E)),S)))) # label(fact_1029_redp__redsp_OLAssRed) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1142 (all V_1 all Pa all Ea all S_0 all E all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),throw_list_char(E)),S_1_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,lAss_list_char(V_1,Ea),S_0),throw_list_char(E)),S_1_2)))) # label(fact_1030_eval__evals_OLAssThrow) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1143 (all Pa all V_1 all Ea all S_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,lAss_list_char(V_1,throw_list_char(Ea)),S_1),throw_list_char(Ea)),S_1))) # label(fact_1031_redp__redsp_OLAssThrow) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1144 (all V_1 all Ea all S_1 all E all S all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),red(Pa))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(V_1,Ea)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(V_1,E)),S)),red(Pa))))) # label(fact_1032_red__reds_OLAssRed) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1145 (all Es_1 all Ts_1 all M all Tsa all Ta all Pns all Body all D all Pa all Ha all E_4 all Ea all C (hBOOL(wTrt(Pa,Ha,E_4,Ea,hAPP_list_char_ty(class,C))) -> (hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Tsa,Ta,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Pns),Body)),D)) -> (hBOOL(wTrts_1(Pa,Ha,E_4,Es_1,Ts_1)) -> (hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(widen_2090681816t_char(Pa),Ts_1),Tsa)) -> hBOOL(wTrt(Pa,Ha,E_4,call_list_char(Ea,M,Es_1),Ta))))))) # label(fact_1033_WTrtCall) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1146 (all V_1 all Ea all S_1 all Pa hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(V_1,throw_list_char(Ea))),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Ea)),S_1)),red(Pa)))) # label(fact_1034_red__reds_OLAssThrow) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1147 (all V_1 all Ea all S_1 all E all S all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(V_1,Ea)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(V_1,E)),S)),transi2024712006on_val(red(Pa)))))) # label(fact_1035_LAssReds) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1148 (all V_1 all Ea all S_1 all A_1 all S all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A_1)),S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(V_1,Ea)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A_1)),S)),transi2024712006on_val(red(Pa)))))) # label(fact_1036_LAssRedsThrow) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1149 (all L all V_1 all Pa all Ea all S_0 all V all Ha all L_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,V)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))) -> (L = fun_up1149430426on_val(L_1,V_1,hAPP_val_option_val(some_val,V)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,lAss_list_char(V_1,Ea),S_0),hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L)))))) # label(fact_1037_LAss) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1150 (all Pa all V_1 all V all Ha all L_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,lAss_list_char(V_1,hAPP_v834067052t_char(val_list_char,V)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1)),hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),fun_up1149430426on_val(L_1,V_1,hAPP_val_option_val(some_val,V)))))) # label(fact_1038_redp__redsp_ORedLAss) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1151 (all V_1 all V all Ha all L_1 all Pa hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(V_1,hAPP_v834067052t_char(val_list_char,V))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),fun_up1149430426on_val(L_1,V_1,hAPP_val_option_val(some_val,V))))),red(Pa)))) # label(fact_1039_red__reds_ORedLAss) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1152 (all Pa all Ha all E_4 all E_1 all C all V_1 all E_2 all Ta (hBOOL(wTrt(Pa,Ha,E_4,tryCatch_list_char(E_1,C,V_1,E_2),Ta)) -> -(all T_1_2 (hBOOL(wTrt(Pa,Ha,E_4,E_1,T_1_2)) -> (hBOOL(wTrt(Pa,Ha,fun_up424764369ion_ty(E_4,V_1,hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,C))),E_2,Ta)) -> -hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_1_2),Ta))))))) # label(fact_1040_WTrt__elim__cases_I5_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1153 (all V_1 all E_2 all C all Pa all S_1 all A_1 all D all Fs_1 (hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_1),A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs_1)) -> (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C),transi1395422419t_char(subcls851966956t_char(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1))),C,V_1,E_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V_1,hAPP_list_char_ty(class,C),seq_list_char(lAss_list_char(V_1,hAPP_v834067052t_char(val_list_char,addr(A_1))),E_2))),S_1)),red(Pa)))))) # label(fact_1041_red__reds_ORedTryCatch) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.54 1154 (all Pa all V_1 all Ea all S_1 all E all S (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,lAss_list_char(V_1,Ea),S_1),E),S)) -> ((E = hAPP_v834067052t_char(val_list_char,unit) -> (all V_4 all H_4 all L_4 (S = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_4),fun_up1149430426on_val(L_4,V_1,hAPP_val_option_val(some_val,V_4))) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),hAPP_v834067052t_char(val_list_char,V_4)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_4),L_4)))))) -> -(all E_3 (E = throw_list_char(E_3) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),throw_list_char(E_3)),S))))))) # label(fact_1042_eval__cases_I4_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1155 (all C_3 hAPP_ty_val(default_val,hAPP_list_char_ty(class,C_3)) = null) # label(fact_1043_default__val_Osimps_I5_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1156 (all Pa all Ha all E_4 all V_1 all Ta all Ea all T_4 (hBOOL(wTrt(Pa,Ha,fun_up424764369ion_ty(E_4,V_1,hAPP_ty_option_ty(some_ty,Ta)),Ea,T_4)) -> hBOOL(wTrt(Pa,Ha,E_4,block_list_char(V_1,Ta,Ea),T_4)))) # label(fact_1044_WTrtBlock) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1157 (all Pa all V_1 all Ta all U all S_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V_1,Ta,hAPP_v834067052t_char(val_list_char,U)),S_1),hAPP_v834067052t_char(val_list_char,U)),S_1))) # label(fact_1045_redp__redsp_ORedBlock) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1158 (all Nat_2 all Nat_1 (addr(Nat_2) = addr(Nat_1) <-> Nat_2 = Nat_1)) # label(fact_1046_val_Osimps_I3_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1159 (all Bool_1 all Bool (bool(Bool_1) = bool(Bool) <-> (hBOOL(Bool_1) <-> hBOOL(Bool)))) # label(fact_1047_val_Osimps_I1_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1160 (all V_1 all Ta all U all S_1 all Pa hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V_1,Ta,hAPP_v834067052t_char(val_list_char,U))),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U)),S_1)),red(Pa)))) # label(fact_1048_red__reds_ORedBlock) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1161 (all Pa all V_1 all Ta all A_1 all S_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V_1,Ta,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)))),S_1),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)))),S_1))) # label(fact_1049_redp__redsp_OBlockThrow) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1162 (all Pa all V_1 all Ta all V all U all S_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V_1,Ta,seq_list_char(lAss_list_char(V_1,hAPP_v834067052t_char(val_list_char,V)),hAPP_v834067052t_char(val_list_char,U))),S_1),hAPP_v834067052t_char(val_list_char,U)),S_1))) # label(fact_1050_redp__redsp_ORedInitBlock) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1163 (all V_1 all Ta all A_1 all S_1 all Pa hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V_1,Ta,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1))))),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)))),S_1)),red(Pa)))) # label(fact_1051_red__reds_OBlockThrow) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1164 (all V_1 all Ta all V all U all S_1 all Pa hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V_1,Ta,seq_list_char(lAss_list_char(V_1,hAPP_v834067052t_char(val_list_char,V)),hAPP_v834067052t_char(val_list_char,U)))),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U)),S_1)),red(Pa)))) # label(fact_1052_red__reds_ORedInitBlock) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1165 (all Pa all V_1 all Ta all V all A_1 all S_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V_1,Ta,seq_list_char(lAss_list_char(V_1,hAPP_v834067052t_char(val_list_char,V)),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1))))),S_1),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)))),S_1))) # label(fact_1053_redp__redsp_OInitBlockThrow) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1166 (all Nat addr(Nat) != null) # label(fact_1054_val_Osimps_I17_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1167 (all Nat null != addr(Nat)) # label(fact_1055_val_Osimps_I16_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1168 (all Ta all V_6 all Pa all Ea all Ha all L_1 all V_1 all V all E all H all L (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),fun_up1149430426on_val(L_1,V_1,hAPP_val_option_val(some_val,V)))),E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L))) -> (hAPP_l207779698on_val(L,V_1) = hAPP_val_option_val(some_val,V_6) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V_1,Ta,seq_list_char(lAss_list_char(V_1,hAPP_v834067052t_char(val_list_char,V)),Ea)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1)),block_list_char(V_1,Ta,seq_list_char(lAss_list_char(V_1,hAPP_v834067052t_char(val_list_char,V_6)),E))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),fun_up1149430426on_val(L,V_1,hAPP_l207779698on_val(L_1,V_1)))))))) # label(fact_1056_redp__redsp_OInitBlockRed) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1169 (all Nat_1 all Bool_1 addr(Nat_1) != bool(Bool_1)) # label(fact_1057_val_Osimps_I21_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1170 (all Bool_1 all Nat_1 bool(Bool_1) != addr(Nat_1)) # label(fact_1058_val_Osimps_I20_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1171 (all Nat addr(Nat) != unit) # label(fact_1059_val_Osimps_I11_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1172 (all Nat unit != addr(Nat)) # label(fact_1060_val_Osimps_I10_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1173 (all Bool null != bool(Bool)) # label(fact_1061_val_Osimps_I12_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1174 (all Bool bool(Bool) != null) # label(fact_1062_val_Osimps_I13_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1175 (all Bool unit != bool(Bool)) # label(fact_1065_val_Osimps_I6_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1176 (all Bool bool(Bool) != unit) # label(fact_1066_val_Osimps_I7_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1177 (all V_1 all Ta all V all A_1 all S_1 all Pa hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V_1,Ta,seq_list_char(lAss_list_char(V_1,hAPP_v834067052t_char(val_list_char,V)),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)))))),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)))),S_1)),red(Pa)))) # label(fact_1067_red__reds_OInitBlockThrow) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1178 (all Ta all V_6 all Ea all Ha all L_1 all V_1 all V all E all H all L all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),fun_up1149430426on_val(L_1,V_1,hAPP_val_option_val(some_val,V))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L))),red(Pa))) -> (hAPP_l207779698on_val(L,V_1) = hAPP_val_option_val(some_val,V_6) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V_1,Ta,seq_list_char(lAss_list_char(V_1,hAPP_v834067052t_char(val_list_char,V)),Ea))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V_1,Ta,seq_list_char(lAss_list_char(V_1,hAPP_v834067052t_char(val_list_char,V_6)),E))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),fun_up1149430426on_val(L,V_1,hAPP_l207779698on_val(L_1,V_1))))),red(Pa)))))) # label(fact_1068_red__reds_OInitBlockRed) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1179 (all Ta all Ea all Ha all L_1 all V_1 all V all E all H all L all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),fun_up1149430426on_val(L_1,V_1,hAPP_val_option_val(some_val,V))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L))),transi2024712006on_val(red(Pa)))) -> (hBOOL(final_list_char(E)) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V_1,Ta,seq_list_char(lAss_list_char(V_1,hAPP_v834067052t_char(val_list_char,V)),Ea))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),fun_up1149430426on_val(L,V_1,hAPP_l207779698on_val(L_1,V_1))))),transi2024712006on_val(red(Pa))))))) # label(fact_1069_InitBlockRedsFinal) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1180 (all Ta all Ea all Ha all L_1 all V_1 all V all E all H all L all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),fun_up1149430426on_val(L_1,V_1,hAPP_val_option_val(some_val,V))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L))),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V_1,Ta,seq_list_char(lAss_list_char(V_1,hAPP_v834067052t_char(val_list_char,V)),Ea))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V_1,Ta,seq_list_char(lAss_list_char(V_1,hAPP_v834067052t_char(val_list_char,hAPP_option_val_val(the_val,hAPP_l207779698on_val(L,V_1)))),E))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),fun_up1149430426on_val(L,V_1,hAPP_l207779698on_val(L_1,V_1))))),transi2024712006on_val(red(Pa)))))) # label(fact_1070_InitBlockReds) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1181 (all V_5 all Vs_1 all T all Ts_2 all V_3 all Vs all E_6 blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,hAPP_l407174677t_char(cons_list_char(V_5),Vs_1)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,hAPP_list_ty_list_ty(cons_ty(T),Ts_2)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,hAPP_l273806049st_val(cons_val(V_3),Vs)),E_6)))) = block_list_char(V_5,T,seq_list_char(lAss_list_char(V_5,hAPP_v834067052t_char(val_list_char,V_3)),blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Vs_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ts_2),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Vs),E_6))))))) # label(fact_1071_blocks_Osimps_I1_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1182 (all Pa all Ha all E_4 all Ea all Ta (hBOOL(wTrt(Pa,Ha,E_4,Ea,Ta)) -> (hBOOL(is_refT(Ta)) -> (hBOOL(final_list_char(Ea)) -> (Ea != hAPP_v834067052t_char(val_list_char,null) -> (((exists A_2 Ea = hAPP_v834067052t_char(val_list_char,addr(A_2))) -> (all C_1 Ta != hAPP_list_char_ty(class,C_1))) -> -(all A_2 Ea != throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_2)))))))))) # label(fact_1072_finalRefE) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1183 (all Pa all Ha all E_4 all Ea all C (hBOOL(wTrt(Pa,Ha,E_4,Ea,hAPP_list_char_ty(class,C))) -> (hBOOL(final_list_char(Ea)) -> ((all A_2 Ea != hAPP_v834067052t_char(val_list_char,addr(A_2))) -> -(all A_2 Ea != throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_2)))))))) # label(fact_1073_final__addrE) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1184 (all E_4 all V_1 all E_2 all T_2_1 all Pa all Ta all Ha all V all T_1_1 (hAPP_val_option_ty(typeof_h(Ha),V) = hAPP_ty_option_ty(some_ty,T_1_1) -> (hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_1_1),Ta)) -> (hBOOL(wTrt_1(Pa,Ha,fun_up424764369ion_ty(E_4,V_1,hAPP_ty_option_ty(some_ty,Ta)),E_2,T_2_1)) -> hBOOL(wTrt_1(Pa,Ha,E_4,block_list_char(V_1,Ta,seq_list_char(lAss_list_char(V_1,hAPP_v834067052t_char(val_list_char,V)),E_2)),T_2_1)))))) # label(fact_1074_WTrt_H__WTrts_H_Ointros_I16_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1185 (all V_1 all E_2 all Pa all C all S_1 all A_1 all D all Fs_1 (hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_1),A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs_1)) -> (hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(transi1065307915t_char(subcls744239332t_char(Pa)),D),C)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,tryCatch_list_char(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1))),C,V_1,E_2),S_1),block_list_char(V_1,hAPP_list_char_ty(class,C),seq_list_char(lAss_list_char(V_1,hAPP_v834067052t_char(val_list_char,addr(A_1))),E_2))),S_1))))) # label(fact_1075_redp__redsp_ORedTryCatch) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1186 (all Pa all E_4 all Ha all V all Ta (hAPP_val_option_ty(typeof_h(Ha),V) = hAPP_ty_option_ty(some_ty,Ta) -> hBOOL(wTrt_1(Pa,Ha,E_4,hAPP_v834067052t_char(val_list_char,V),Ta)))) # label(fact_1076_WTrt_H__WTrts_H_Ointros_I3_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1187 (all E_2 all T_2_1 all Pa all Ha all E_4 all E_1 all T_1_1 (hBOOL(wTrt_1(Pa,Ha,E_4,E_1,T_1_1)) -> (hBOOL(wTrt_1(Pa,Ha,E_4,E_2,T_2_1)) -> hBOOL(wTrt_1(Pa,Ha,E_4,seq_list_char(E_1,E_2),T_2_1))))) # label(fact_1077_WTrt_H__WTrts_H_Ointros_I18_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1188 (all Pa all Ha all E_4 all Ea all Ta (hBOOL(wTrt_1(Pa,Ha,E_4,Ea,Ta)) <-> hBOOL(wTrt(Pa,Ha,E_4,Ea,Ta)))) # label(fact_1078_wt_H__iff__wt) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1189 (all Pa all Ha all E_4 all Ea all Ta (hBOOL(wTrt_1(Pa,Ha,E_4,Ea,Ta)) -> hBOOL(wTrt(Pa,Ha,E_4,Ea,Ta)))) # label(fact_1079_wt_H__wt) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1190 (all Pa all Ha all E_4 all Ea all Ta (hBOOL(wTrt(Pa,Ha,E_4,Ea,Ta)) -> hBOOL(wTrt_1(Pa,Ha,E_4,Ea,Ta)))) # label(fact_1080_wt__wt_H) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1191 (all Ta all Pa all Ha all E_4 all Ea all T_r (hBOOL(wTrt_1(Pa,Ha,E_4,Ea,T_r)) -> (hBOOL(is_refT(T_r)) -> hBOOL(wTrt_1(Pa,Ha,E_4,throw_list_char(Ea),Ta))))) # label(fact_1081_WTrt_H__WTrts_H_Ointros_I21_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1192 (all Pa all C all S_1 all A_1 all D all Fs_1 (hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_1),A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs_1)) -> (hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(transi1065307915t_char(subcls744239332t_char(Pa)),D),C)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cast_list_char(C,hAPP_v834067052t_char(val_list_char,addr(A_1))),S_1),hAPP_v834067052t_char(val_list_char,addr(A_1))),S_1))))) # label(fact_1082_redp__redsp_ORedCast) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1193 (all V_1 all E_2 all Pa all C all S_1 all A_1 all D all Fs_1 (hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_1),A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs_1)) -> (-hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(transi1065307915t_char(subcls744239332t_char(Pa)),D),C)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,tryCatch_list_char(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1))),C,V_1,E_2),S_1),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)))),S_1))))) # label(fact_1083_redp__redsp_ORedTryFail) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1194 (all V_1 all C all E_2 all T_2_1 all Pa all Ha all E_4 all E_1 all T_1_1 (hBOOL(wTrt_1(Pa,Ha,E_4,E_1,T_1_1)) -> (hBOOL(wTrt_1(Pa,Ha,fun_up424764369ion_ty(E_4,V_1,hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,C))),E_2,T_2_1)) -> (hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_1_1),T_2_1)) -> hBOOL(wTrt_1(Pa,Ha,E_4,tryCatch_list_char(E_1,C,V_1,E_2),T_2_1)))))) # label(fact_1084_WTrt_H__WTrts_H_Ointros_I22_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1195 (all Pa all C all S_1 all A_1 all D all Fs_1 (hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_1),A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs_1)) -> (-hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(transi1065307915t_char(subcls744239332t_char(Pa)),D),C)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cast_list_char(C,hAPP_v834067052t_char(val_list_char,addr(A_1))),S_1),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(hAPP_list_char_nat(addr_of_sys_xcpt,classCast))))),S_1))))) # label(fact_1085_redp__redsp_ORedCastFail) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1196 (all Es_1 all Ts_1 all M all Tsa all Ta all Pns all Body all D all Pa all Ha all E_4 all Ea all C (hBOOL(wTrt_1(Pa,Ha,E_4,Ea,hAPP_list_char_ty(class,C))) -> (hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Tsa,Ta,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Pns),Body)),D)) -> (hBOOL(wTrts(Pa,Ha,E_4,Es_1,Ts_1)) -> (hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(widen_2090681816t_char(Pa),Ts_1),Tsa)) -> hBOOL(wTrt_1(Pa,Ha,E_4,call_list_char(Ea,M,Es_1),Ta))))))) # label(fact_1086_WTrt_H__WTrts_H_Ointros_I12_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1197 (all Pa all Ha all E_4 all V_1 all Ta all Ea all T_4 (hBOOL(wTrt_1(Pa,Ha,fun_up424764369ion_ty(E_4,V_1,hAPP_ty_option_ty(some_ty,Ta)),Ea,T_4)) -> (-hBOOL(assigned(V_1,Ea)) -> hBOOL(wTrt_1(Pa,Ha,E_4,block_list_char(V_1,Ta,Ea),T_4))))) # label(fact_1087_WTrt_H__WTrts_H_Ointros_I17_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1198 (all Ta all H_0 all L_0 all V_1 all E_0 all S_0 all E_2 all H_2 all L_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_0),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),L_2))),transi2024712006on_val(red(Pa)))) -> (hBOOL(final_list_char(E_2)) -> (S_0 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_0),fun_up1149430426on_val(L_0,V_1,none_val)) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V_1,Ta,E_0)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_0),L_0))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),fun_up1149430426on_val(L_2,V_1,hAPP_l207779698on_val(L_0,V_1))))),transi2024712006on_val(red(Pa)))))))) # label(fact_1088_BlockRedsFinal) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1199 (all Pa all Ha all E_4 all Es_1 all Tsa (hBOOL(wTrts_1(Pa,Ha,E_4,Es_1,Tsa)) -> hBOOL(wTrts(Pa,Ha,E_4,Es_1,Tsa)))) # label(fact_1089_wts__wts_H) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1200 (all Pa all Ha all E_4 all Es_1 all Tsa (hBOOL(wTrts(Pa,Ha,E_4,Es_1,Tsa)) -> hBOOL(wTrts_1(Pa,Ha,E_4,Es_1,Tsa)))) # label(fact_1090_wts_H__wts) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1201 (all Pa all Ha all E_4 all Es_1 all Tsa (hBOOL(wTrts(Pa,Ha,E_4,Es_1,Tsa)) <-> hBOOL(wTrts_1(Pa,Ha,E_4,Es_1,Tsa)))) # label(fact_1091_wts_H__iff__wts) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1202 (all Ta all Pa all Ea all Ha all L_1 all V_1 all E all H all L (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),fun_up1149430426on_val(L_1,V_1,none_val))),E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L))) -> (hAPP_l207779698on_val(L,V_1) = none_val -> (-hBOOL(assigned(V_1,Ea)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V_1,Ta,Ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1)),block_list_char(V_1,Ta,E)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),fun_up1149430426on_val(L,V_1,hAPP_l207779698on_val(L_1,V_1))))))))) # label(fact_1092_redp__redsp_OBlockRedNone) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1203 (all Ta all Ea all Ha all L_1 all V_1 all E all H all L all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),fun_up1149430426on_val(L_1,V_1,none_val)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L))),red(Pa))) -> (hAPP_l207779698on_val(L,V_1) = none_val -> (-hBOOL(assigned(V_1,Ea)) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V_1,Ta,Ea)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V_1,Ta,E)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),fun_up1149430426on_val(L,V_1,hAPP_l207779698on_val(L_1,V_1))))),red(Pa))))))) # label(fact_1093_red__reds_OBlockRedNone) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1204 (all Ta all Pa all E_0 all H_0 all L_0 all V_1 all E_1 all H_1 all L_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_0,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_0),fun_up1149430426on_val(L_0,V_1,none_val))),E_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),L_1_1))) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,block_list_char(V_1,Ta,E_0),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_0),L_0)),E_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),fun_up1149430426on_val(L_1_1,V_1,hAPP_l207779698on_val(L_0,V_1))))))) # label(fact_1094_Block) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1205 (all Ta all V all Pa all Ea all Ha all L_1 all V_1 all E all H all L (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),fun_up1149430426on_val(L_1,V_1,none_val))),E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L))) -> (hAPP_l207779698on_val(L,V_1) = hAPP_val_option_val(some_val,V) -> (-hBOOL(assigned(V_1,Ea)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V_1,Ta,Ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1)),block_list_char(V_1,Ta,seq_list_char(lAss_list_char(V_1,hAPP_v834067052t_char(val_list_char,V)),E))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),fun_up1149430426on_val(L,V_1,hAPP_l207779698on_val(L_1,V_1))))))))) # label(fact_1095_redp__redsp_OBlockRedSome) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1206 (all Es_1 all Tsa all Pa all Ha all E_4 all Ea all Ta (hBOOL(wTrt_1(Pa,Ha,E_4,Ea,Ta)) -> (hBOOL(wTrts(Pa,Ha,E_4,Es_1,Tsa)) -> hBOOL(wTrts(Pa,Ha,E_4,hAPP_l2011456725t_char(cons_exp_list_char(Ea),Es_1),hAPP_list_ty_list_ty(cons_ty(Ta),Tsa)))))) # label(fact_1096_WTrt_H__WTrts_H_Ointros_I15_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1207 (all Ta all V all Ea all Ha all L_1 all V_1 all E all H all L all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),fun_up1149430426on_val(L_1,V_1,none_val)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L))),red(Pa))) -> (hAPP_l207779698on_val(L,V_1) = hAPP_val_option_val(some_val,V) -> (-hBOOL(assigned(V_1,Ea)) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V_1,Ta,Ea)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V_1,Ta,seq_list_char(lAss_list_char(V_1,hAPP_v834067052t_char(val_list_char,V)),E))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),fun_up1149430426on_val(L,V_1,hAPP_l207779698on_val(L_1,V_1))))),red(Pa))))))) # label(fact_1097_red__reds_OBlockRedSome) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1208 (all Pa all V_1 all Ta all E_1 all S_1 all E all S (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,block_list_char(V_1,Ta,E_1),S_1),E),S)) -> -(all H_0_1 all L_0_1 (S_1 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_0_1),L_0_1) -> (all H_1_1 all L_1_2 (S = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1_1),fun_up1149430426on_val(L_1_2,V_1,hAPP_l207779698on_val(L_0_1,V_1))) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_0_1),fun_up1149430426on_val(L_0_1,V_1,none_val))),E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1_1),L_1_2))))))))) # label(fact_1098_eval__cases_I8_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1209 (all V_1 all Ea (hBOOL(assigned(V_1,Ea)) <-> (exists V_4 exists E_3 Ea = seq_list_char(lAss_list_char(V_1,hAPP_v834067052t_char(val_list_char,V_4)),E_3)))) # label(fact_1099_assigned__def) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1210 (all E all H_3 all L_3 all L_2_1 all M all Tsa all Ta all Pns all Body all D all C all Fs_1 all Ps all Vsa all H_2 all L_2 all Pa all Ea all S_0 all A_1 all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,addr(A_1))),S_1_2)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Ps,S_1_2),hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vsa)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),L_2))) -> (hAPP_n546249108on_val(H_2,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_1)) -> (hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Tsa,Ta,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Pns),Body)),D)) -> (hAPP_list_val_nat(size_size_list_val,Vsa) = hAPP_l66428094ar_nat(size_s2113983095t_char,Pns) -> (L_2_1 = map_up1085636310ar_val(fun_up1149430426on_val(hAPP_o538043682on_val(cOMBK_1097134891t_char,none_val),this,hAPP_val_option_val(some_val,addr(A_1))),Pns,Vsa) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Body,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),L_2_1)),E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_3),L_3))) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,call_list_char(Ea,M,Ps),S_0),E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_3),L_2))))))))))) # label(fact_1100_Call) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1211 (all Ha all V all Ta (hAPP_val_option_ty(typeof_h(hAPP_o1576581476on_val(cOMBK_1944287343al_nat,none_P179726773on_val)),V) = hAPP_ty_option_ty(some_ty,Ta) -> hAPP_val_option_ty(typeof_h(Ha),V) = hAPP_ty_option_ty(some_ty,Ta))) # label(fact_1101_typeof__lit__typeof) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1212 (all Pa all X_1 all Xa all Xb all Xc (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(Pa,X_1,Xa),Xb),Xc)) <-> hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,X_1),Xa)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Xb),Xc)),reds(Pa))))) # label(fact_1102_redsp__reds__eq) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1213 (all Pa all X_1 all Xa all Xb all Xc (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,X_1,Xa),Xb),Xc)) <-> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X_1),Xa)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Xb),Xc)),red(Pa))))) # label(fact_1103_redp__red__eq) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1214 (all X_2 all Ha all A_1 (hAPP_n546249108on_val(Ha,A_1) = none_P179726773on_val -> hBOOL(hext(Ha,fun_up2041264236on_val(Ha,A_1,hAPP_P1510515380on_val(some_P948696889on_val,X_2)))))) # label(fact_1104_hext__new) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1215 (all Ef all H_3 all L_3 all L_2_1 all M all Tsa all Ta all Pns all Body all D all C all Fs_1 all Es_1 all Vsa all H_2 all L_2 all Ea all S_0 all A_1 all S_1_2 all Pa (hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A_1))),S_1_2)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_1),S_1_2)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vsa)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),L_2))),transi374442731on_val(reds(Pa)))) -> (hAPP_n546249108on_val(H_2,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_1)) -> (hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Tsa,Ta,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Pns),Body)),D)) -> (hAPP_list_val_nat(size_size_list_val,Vsa) = hAPP_l66428094ar_nat(size_s2113983095t_char,Pns) -> (L_2_1 = map_up1085636310ar_val(fun_up1149430426on_val(hAPP_o538043682on_val(cOMBK_1097134891t_char,none_val),this,hAPP_val_option_val(some_val,addr(A_1))),Pns,Vsa) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Body),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),L_2_1))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ef),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_3),L_3))),transi2024712006on_val(red(Pa)))) -> (hBOOL(final_list_char(Ef)) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(Ea,M,Es_1)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ef),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_3),L_2))),transi2024712006on_val(red(Pa)))))))))))))) # label(fact_1105_CallRedsFinal) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1216 (all V_2_1 binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,unit),V_2_1))) = none_val) # label(fact_1106_binop_Osimps_I3_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1217 (all V_1_3 binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,V_1_3),unit))) = none_val) # label(fact_1107_binop_Osimps_I7_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1218 (all Y (is_bop(Y) -> (Y != c_Expr_Obop_OEq -> Y = add))) # label(fact_1108_bop_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1219 (all E all S all Ea all S_1 all E_5 all S_3 all Pa (hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_5),S_3)),red(Pa))) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_5,S_3),E),S)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),E),S)))))) # label(fact_1111_extend__1__eval) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1220 (all Es all T_7 all Es_1 all T_6 all Es_2 all T_5 all Pa (hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)) -> (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_1),T_6)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_2),T_5)),reds(Pa))) -> (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Es_2,T_5),Es),T_7)) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Es_1,T_6),Es),T_7)))))) # label(fact_1112_extend__1__evals) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1221 (all Ea all S_1 all E all S all Pa (hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),E),S)) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),transi2024712006on_val(red(Pa))))))) # label(fact_1113_big__by__small) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1222 (all E all S all Ea all S_1 all E_5 all S_3 all Pa (hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_5),S_3)),transi2024712006on_val(red(Pa)))) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_5,S_3),E),S)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),E),S)))))) # label(fact_1114_extend__eval) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1223 (all Es_1 all S_1 all Es all S all Pa (hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Es_1,S_1),Es),S)) -> hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_1),S_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es),S)),transi374442731on_val(reds(Pa))))))) # label(fact_1115_bigs__by__smalls) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1224 (all Es all S all Es_1 all S_1 all Es_2 all S_3 all Pa (hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)) -> (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_1),S_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_2),S_3)),transi374442731on_val(reds(Pa)))) -> (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Es_2,S_3),Es),S)) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Es_1,S_1),Es),S)))))) # label(fact_1116_extend__evals) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1225 (all Ea all S_1 all E all S all Pa (hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),transi2024712006on_val(red(Pa)))) -> (hBOOL(final_list_char(E)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),E),S)))))) # label(fact_1117_small__by__big) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1226 (all Ea all S_1 all E all S all Pa (hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),E),S)) <-> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),transi2024712006on_val(red(Pa)))) & hBOOL(final_list_char(E))))) # label(fact_1118_big__iff__small) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1227 (all V_3 all V_2_1 binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,addr(V_3)),V_2_1))) = none_val) # label(fact_1119_binop_Osimps_I6_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1228 (all V_1_3 all V_3 binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,V_1_3),addr(V_3)))) = none_val) # label(fact_1120_binop_Osimps_I10_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1229 (all V_1_3 binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,V_1_3),null))) = none_val) # label(fact_1121_binop_Osimps_I8_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1230 (all V_2_1 binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,null),V_2_1))) = none_val) # label(fact_1122_binop_Osimps_I4_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1231 (all V all V_2 binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,bool(V)),V_2))) = none_val) # label(fact_1123_binop_Osimps_I5_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1232 (all V_1_2 all V binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,V_1_2),bool(V)))) = none_val) # label(fact_1124_binop_Osimps_I9_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1233 (all F all Ta all D all Pa all Ha all E_4 all Ea all C (hBOOL(wTrt(Pa,Ha,E_4,Ea,hAPP_list_char_ty(class,C))) -> (hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C,F,Ta),D)) -> hBOOL(wTrt(Pa,Ha,E_4,fAcc_list_char(Ea,F,D),Ta))))) # label(fact_1125_WTrtFAcc) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1234 (all F all Ta all D all Pa all Ha all E_4 all Ea all C (hBOOL(wTrt_1(Pa,Ha,E_4,Ea,hAPP_list_char_ty(class,C))) -> (hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C,F,Ta),D)) -> hBOOL(wTrt_1(Pa,Ha,E_4,fAcc_list_char(Ea,F,D),Ta))))) # label(fact_1126_WTrt_H__WTrts_H_Ointros_I8_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1235 (all Pa all B all C_2 all S_1 all E all S (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(B,C_2),S_1),E),S)) -> ((E = hAPP_v834067052t_char(val_list_char,unit) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,B,S_1),hAPP_v834067052t_char(val_list_char,bool(fFalse))),S))) -> ((all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,B,S_1),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1_1)) -> (all V_1_1 all S_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,C_2,S_1_1),hAPP_v834067052t_char(val_list_char,V_1_1)),S_2)) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(B,C_2),S_2),E),S)))))) -> ((all E_3 (E = throw_list_char(E_3) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,B,S_1),throw_list_char(E_3)),S)))) -> -(all S_1_1 all E_3 (E = throw_list_char(E_3) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,B,S_1),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1_1)) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,C_2,S_1_1),throw_list_char(E_3)),S)))))))))) # label(fact_1127_eval__cases_I11_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1236 (all C all Pa all Ha all E_4 all Ea all Ta (hBOOL(wTrt(Pa,Ha,E_4,Ea,Ta)) -> (hBOOL(is_refT(Ta)) -> (hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),C)) -> hBOOL(wTrt(Pa,Ha,E_4,cast_list_char(C,Ea),hAPP_list_char_ty(class,C))))))) # label(fact_1128_WTrtCast) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1237 (all C all Pa all Ha all E_4 all Ea all Ta (hBOOL(wTrt_1(Pa,Ha,E_4,Ea,Ta)) -> (hBOOL(is_refT(Ta)) -> (hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),C)) -> hBOOL(wTrt_1(Pa,Ha,E_4,cast_list_char(C,Ea),hAPP_list_char_ty(class,C))))))) # label(fact_1129_WTrt_H__WTrts_H_Ointros_I2_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1238 (all Pa all Ha all E_4 all D all Ea all Ta (hBOOL(wTrt(Pa,Ha,E_4,cast_list_char(D,Ea),Ta)) -> -(Ta = hAPP_list_char_ty(class,D) -> (all T_1 (hBOOL(wTrt(Pa,Ha,E_4,Ea,T_1)) -> (hBOOL(is_refT(T_1)) -> -hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),D)))))))) # label(fact_1130_WTrt__elim__cases_I6_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1239 (all E_2 all T_2_1 all F all Ta all D all Pa all Ha all E_4 all E_1 all C (hBOOL(wTrt_1(Pa,Ha,E_4,E_1,hAPP_list_char_ty(class,C))) -> (hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C,F,Ta),D)) -> (hBOOL(wTrt_1(Pa,Ha,E_4,E_2,T_2_1)) -> (hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_2_1),Ta)) -> hBOOL(wTrt_1(Pa,Ha,E_4,fAss_list_char(E_1,F,D,E_2),void))))))) # label(fact_1131_WTrt_H__WTrts_H_Ointros_I10_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1240 (all Ea all Ha all L_1 all E all H all L all Pa (hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L))),red(Pa))) -> hBOOL(ord_le2092826700r_bool(fv(E),fv(Ea)))))) # label(fact_1132_Red__fv) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1241 (all Pa all Ha all Ea all T_4 all E_4 all V_1 all Ta (hAPP_l512744617ion_ty(E_4,V_1) = hAPP_ty_option_ty(some_ty,Ta) -> (hBOOL(wTrt(Pa,Ha,E_4,Ea,T_4)) -> (hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_4),Ta)) -> hBOOL(wTrt(Pa,Ha,E_4,lAss_list_char(V_1,Ea),void)))))) # label(fact_1133_WTrtLAss) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1242 (all Ea fv(throw_list_char(Ea)) = fv(Ea)) # label(fact_1134_fv__fvs_Osimps_I14_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1243 (all Ea all F all D fv(fAcc_list_char(Ea,F,D)) = fv(Ea)) # label(fact_1135_fv__fvs_Osimps_I7_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1244 (all C all Ea fv(cast_list_char(C,Ea)) = fv(Ea)) # label(fact_1136_fv__fvs_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1245 (all V_1 all Pa all Ea all Ha all L_1 all E all H all L (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1)),E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L))) -> (-hBOOL(member_list_char(V_1,fv(Ea))) -> hAPP_l207779698on_val(L,V_1) = hAPP_l207779698on_val(L_1,V_1)))) # label(fact_1137_eval__notfree__unchanged) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1246 (all Ha hAPP_val_option_ty(typeof_h(Ha),unit) = hAPP_ty_option_ty(some_ty,void)) # label(fact_1139_typeof__h_Osimps_I1_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1247 (all E_2 all T_2_1 all F all Ta all D all Pa all Ha all E_4 all E_1 all C (hBOOL(wTrt(Pa,Ha,E_4,E_1,hAPP_list_char_ty(class,C))) -> (hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C,F,Ta),D)) -> (hBOOL(wTrt(Pa,Ha,E_4,E_2,T_2_1)) -> (hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_2_1),Ta)) -> hBOOL(wTrt(Pa,Ha,E_4,fAss_list_char(E_1,F,D,E_2),void))))))) # label(fact_1140_WTrtFAss) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1248 (all Pa all Ha all E_4 all V all Ea all Ta (hBOOL(wTrt(Pa,Ha,E_4,lAss_list_char(V,Ea),Ta)) -> -(Ta = void -> (all T_1 (hAPP_l512744617ion_ty(E_4,V) = hAPP_ty_option_ty(some_ty,T_1) -> (all T_3 (hBOOL(wTrt(Pa,Ha,E_4,Ea,T_3)) -> -hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_3),T_1))))))))) # label(fact_1141_WTrt__elim__cases_I1_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1249 (all W all Ea all Ha all L_1 all E all H all L all Pa (hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1)),E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L))) -> (hBOOL(ord_le2092826700r_bool(fv(Ea),W)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),restri761823004ar_val(L_1,W))),E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),restri761823004ar_val(L,W)))))))) # label(fact_1142_eval__restrict__lcl) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1250 (all List hAPP_list_char_ty(class,List) != void) # label(fact_1143_ty_Osimps_I9_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1251 (all List void != hAPP_list_char_ty(class,List)) # label(fact_1144_ty_Osimps_I8_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1252 (all List_2 all List_1 (hAPP_list_char_ty(class,List_2) = hAPP_list_char_ty(class,List_1) <-> List_2 = List_1)) # label(fact_1145_ty_Oinject) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1253 (all Ha (hBOOL(preallocated(Ha)) -> hAPP_val_option_ty(typeof_h(Ha),addr(hAPP_list_char_nat(addr_of_sys_xcpt,classCast))) = hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,classCast)))) # label(fact_1146_typeof__ClassCast) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1254 (all List nt != hAPP_list_char_ty(class,List)) # label(fact_1147_ty_Osimps_I20_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1255 (all List hAPP_list_char_ty(class,List) != nt) # label(fact_1148_ty_Osimps_I21_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1256 (all H all Ha (hBOOL(preallocated(Ha)) -> (hBOOL(hext(Ha,H)) -> hBOOL(preallocated(H))))) # label(fact_1151_preallocated__hext) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1257 (all F all D all Ta all Pa all Ha all E_4 all Ea (hBOOL(wTrt(Pa,Ha,E_4,Ea,nt)) -> hBOOL(wTrt(Pa,Ha,E_4,fAcc_list_char(Ea,F,D),Ta)))) # label(fact_1152_WTrtFAccNT) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1258 (all F all D all Ta all Pa all Ha all E_4 all Ea (hBOOL(wTrt_1(Pa,Ha,E_4,Ea,nt)) -> hBOOL(wTrt_1(Pa,Ha,E_4,fAcc_list_char(Ea,F,D),Ta)))) # label(fact_1153_WTrt_H__WTrts_H_Ointros_I9_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1259 (all Ta (hBOOL(is_refT(Ta)) <-> Ta = nt | (exists C_1 Ta = hAPP_list_char_ty(class,C_1)))) # label(fact_1154_is__refT__def) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1260 (all Fs_2 all A_1 all C all Fs_1 all Ha (hBOOL(preallocated(Ha)) -> (hAPP_n546249108on_val(Ha,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_1)) -> hBOOL(preallocated(fun_up2041264236on_val(Ha,A_1,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_2)))))))) # label(fact_1155_preallocated__upd__obj) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1261 (all X_2 all A_1 all Ha (hBOOL(preallocated(Ha)) -> (hAPP_n546249108on_val(Ha,A_1) = none_P179726773on_val -> hBOOL(preallocated(fun_up2041264236on_val(Ha,A_1,hAPP_P1510515380on_val(some_P948696889on_val,X_2))))))) # label(fact_1157_preallocated__new) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1262 (all F all D all E_2 all T_2_1 all Pa all Ha all E_4 all E_1 (hBOOL(wTrt(Pa,Ha,E_4,E_1,nt)) -> (hBOOL(wTrt(Pa,Ha,E_4,E_2,T_2_1)) -> hBOOL(wTrt(Pa,Ha,E_4,fAss_list_char(E_1,F,D,E_2),void))))) # label(fact_1158_WTrtFAssNT) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1263 (all F all D all E_2 all T_2_1 all Pa all Ha all E_4 all E_1 (hBOOL(wTrt_1(Pa,Ha,E_4,E_1,nt)) -> (hBOOL(wTrt_1(Pa,Ha,E_4,E_2,T_2_1)) -> hBOOL(wTrt_1(Pa,Ha,E_4,fAss_list_char(E_1,F,D,E_2),void))))) # label(fact_1159_WTrt_H__WTrts_H_Ointros_I11_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1264 (all M all Ta all Es_1 all Tsa all Pa all Ha all E_4 all Ea (hBOOL(wTrt(Pa,Ha,E_4,Ea,nt)) -> (hBOOL(wTrts_1(Pa,Ha,E_4,Es_1,Tsa)) -> hBOOL(wTrt(Pa,Ha,E_4,call_list_char(Ea,M,Es_1),Ta))))) # label(fact_1160_WTrtCallNT) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1265 (all Ha hAPP_val_option_ty(typeof_h(Ha),null) = hAPP_ty_option_ty(some_ty,nt)) # label(fact_1161_typeof__h_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1266 (all M all Ta all Es_1 all Tsa all Pa all Ha all E_4 all Ea (hBOOL(wTrt_1(Pa,Ha,E_4,Ea,nt)) -> (hBOOL(wTrts(Pa,Ha,E_4,Es_1,Tsa)) -> hBOOL(wTrt_1(Pa,Ha,E_4,call_list_char(Ea,M,Es_1),Ta))))) # label(fact_1162_WTrt_H__WTrts_H_Ointros_I13_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1267 (all Ha (hBOOL(preallocated(Ha)) -> hAPP_val_option_ty(typeof_h(Ha),addr(hAPP_list_char_nat(addr_of_sys_xcpt,nullPointer))) = hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,nullPointer)))) # label(fact_1163_typeof__NullPointer) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1268 (all Pa all Ha all E_4 all Ea all F all D all Ta (hBOOL(wTrt(Pa,Ha,E_4,fAcc_list_char(Ea,F,D),Ta)) -> ((all C_1 (hBOOL(wTrt(Pa,Ha,E_4,Ea,hAPP_list_char_ty(class,C_1))) -> -hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C_1,F,Ta),D)))) -> hBOOL(wTrt(Pa,Ha,E_4,Ea,nt))))) # label(fact_1164_WTrt__elim__cases_I7_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1269 (all Pa all Ha all E_4 all Ea all F all D all V all Ta (hBOOL(wTrt(Pa,Ha,E_4,fAss_list_char(Ea,F,D,V),Ta)) -> ((Ta = void -> (all C_1 (hBOOL(wTrt(Pa,Ha,E_4,Ea,hAPP_list_char_ty(class,C_1))) -> (all T_1 (hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C_1,F,T_1),D)) -> (all T_2 (hBOOL(wTrt(Pa,Ha,E_4,V,T_2)) -> -hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_2),T_1))))))))) -> -(Ta = void -> (hBOOL(wTrt(Pa,Ha,E_4,Ea,nt)) -> (all T_2 -hBOOL(wTrt(Pa,Ha,E_4,V,T_2)))))))) # label(fact_1165_WTrt__elim__cases_I8_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1270 (all T (hBOOL(is_refT(T)) -> (T != nt -> -(all C_1 T != hAPP_list_char_ty(class,C_1))))) # label(fact_1166_refTE) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1271 (all Ha (hBOOL(preallocated(Ha)) -> hAPP_val_option_ty(typeof_h(Ha),addr(hAPP_list_char_nat(addr_of_sys_xcpt,outOfMemory))) = hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,outOfMemory)))) # label(fact_1167_typeof__OutOfMemory) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1272 (all Pa all E_4 all S_1 (hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(Pa,E_4),S_1)) <-> hBOOL(hAPP_P159683425l_bool(produc1958875245l_bool(cOMBS_570216337l_bool(hAPP_f1523875321l_bool(hAPP_f592397849l_bool(cOMBB_1718333400on_val,cOMBB_383678192on_val),hAPP_f1452292669l_bool(hAPP_f1977633121l_bool(cOMBB_1303934920on_val,fconj),hconf_97414254t_char(Pa))),hAPP_f550652027l_bool(hAPP_f838396643l_bool(cOMBC_2027949654l_bool,hAPP_f857351829l_bool(hAPP_f348318673l_bool(cOMBB_1518282696on_val,cOMBC_832625297y_bool),lconf_496643946t_char(Pa))),E_4))),S_1)))) # label(fact_1168_sconf__def) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1273 (all Ha all A_1 hAPP_val_option_ty(typeof_h(Ha),addr(A_1)) = option1388193227on_val(none_ty,produc907433735ion_ty(hAPP_f451501457ion_ty(hAPP_f509342689ion_ty(cOMBB_352765746t_char,cOMBK_184479553on_val),hAPP_f359949478ion_ty(hAPP_f1243585741ion_ty(cOMBB_1888336841t_char,some_ty),class))),hAPP_n546249108on_val(Ha,A_1))) # label(fact_1169_typeof__h_Osimps_I5_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1274 (all Pa all C (hBOOL(member_list_char(C,sys_xcpts)) -> (hBOOL(hAPP_list_char_bool(Pa,nullPointer)) -> (hBOOL(hAPP_list_char_bool(Pa,outOfMemory)) -> (hBOOL(hAPP_list_char_bool(Pa,classCast)) -> hBOOL(hAPP_list_char_bool(Pa,C))))))) # label(fact_1170_sys__xcpts__cases) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1275 (all Ha (hBOOL(preallocated(Ha)) <-> (all X_1 (hBOOL(member_list_char(X_1,sys_xcpts)) -> (exists Fs hAPP_n546249108on_val(Ha,hAPP_list_char_nat(addr_of_sys_xcpt,X_1)) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,X_1),Fs))))))) # label(fact_1171_preallocated__def) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1276 (all C all Ha (hBOOL(preallocated(Ha)) -> (hBOOL(member_list_char(C,sys_xcpts)) -> (exists Fs hAPP_n546249108on_val(Ha,hAPP_list_char_nat(addr_of_sys_xcpt,C)) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs)))))) # label(fact_1172_preallocatedD) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1277 (all Pa all C all Ha (hBOOL(preallocated(Ha)) -> (hBOOL(member_list_char(C,sys_xcpts)) -> ((all Fs (hAPP_n546249108on_val(Ha,hAPP_list_char_nat(addr_of_sys_xcpt,C)) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs)) -> hBOOL(hAPP_list_char_bool(hAPP_f388705405r_bool(Pa,Ha),C)))) -> hBOOL(hAPP_list_char_bool(hAPP_f388705405r_bool(Pa,Ha),C)))))) # label(fact_1173_preallocatedE) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1278 (all L_1 all H all Pa all C all FDTs all Ha all A_1 (new_Addr(Ha) = hAPP_nat_option_nat(some_nat,A_1) -> (hBOOL(fields1147507508t_char(Pa,C,FDTs)) -> (H = fun_up2041264236on_val(Ha,A_1,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),hAPP_l968768258on_val(init_fields,FDTs)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,new_list_char(C)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A_1))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L_1))),red(Pa))))))) # label(fact_1174_red__reds_ORedNew) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1279 (all Pa all Ha all E_4 all C all Ta (hBOOL(wTrt(Pa,Ha,E_4,new_list_char(C),Ta)) -> -(Ta = hAPP_list_char_ty(class,C) -> -hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),C))))) # label(fact_1175_WTrt__elim__cases_I10_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1280 (all Ha all E_4 all Pa all C (hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),C)) -> hBOOL(wTrt(Pa,Ha,E_4,new_list_char(C),hAPP_list_char_ty(class,C))))) # label(fact_1176_WTrtNew) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1281 (all Ha all A_1 (new_Addr(Ha) = hAPP_nat_option_nat(some_nat,A_1) -> hAPP_n546249108on_val(Ha,A_1) = none_P179726773on_val)) # label(fact_1177_new__Addr__SomeD) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1282 (all Ha all E_4 all Pa all C (hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),C)) -> hBOOL(wTrt_1(Pa,Ha,E_4,new_list_char(C),hAPP_list_char_ty(class,C))))) # label(fact_1178_WTrt_H__WTrts_H_Ointros_I1_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1283 (all Pa all C all L_1 all Ha (new_Addr(Ha) = none_nat -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,new_list_char(C),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1)),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(hAPP_list_char_nat(addr_of_sys_xcpt,outOfMemory))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))))) # label(fact_1179_NewFail) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1284 (all Pa all C all L_1 all Ha (new_Addr(Ha) = none_nat -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,new_list_char(C),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1)),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(hAPP_list_char_nat(addr_of_sys_xcpt,outOfMemory))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))))) # label(fact_1180_redp__redsp_ORedNewFail) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1285 (all L_1 all H all Pa all C all FDTs all Ha all A_1 (new_Addr(Ha) = hAPP_nat_option_nat(some_nat,A_1) -> (hBOOL(fields1147507508t_char(Pa,C,FDTs)) -> (H = fun_up2041264236on_val(Ha,A_1,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),hAPP_l968768258on_val(init_fields,FDTs)))) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,new_list_char(C),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1)),hAPP_v834067052t_char(val_list_char,addr(A_1))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L_1))))))) # label(fact_1181_New) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1286 (all L_1 all H all Pa all C all FDTs all Ha all A_1 (new_Addr(Ha) = hAPP_nat_option_nat(some_nat,A_1) -> (hBOOL(fields1147507508t_char(Pa,C,FDTs)) -> (H = fun_up2041264236on_val(Ha,A_1,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),hAPP_l968768258on_val(init_fields,FDTs)))) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,new_list_char(C),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1)),hAPP_v834067052t_char(val_list_char,addr(A_1))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L_1))))))) # label(fact_1182_redp__redsp_ORedNew) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1287 (all C all L_1 all Pa all Ha (new_Addr(Ha) = none_nat -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,new_list_char(C)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(hAPP_list_char_nat(addr_of_sys_xcpt,outOfMemory))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))),red(Pa))))) # label(fact_1183_red__reds_ORedNewFail) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1288 (all Pa all Ea all E_1 all E_2 all S_1 all E all S (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(Ea,E_1,E_2),S_1),E),S)) -> ((all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1_1)) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_1_1),E),S)))) -> ((all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),hAPP_v834067052t_char(val_list_char,bool(fFalse))),S_1_1)) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_1),E),S)))) -> -(all E_3 (E = throw_list_char(E_3) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),throw_list_char(E_3)),S)))))))) # label(fact_1184_eval__cases_I10_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1289 (all C all Ha (hBOOL(preallocated(Ha)) -> (hBOOL(member_list_char(C,sys_xcpts)) -> hAPP_P1789965269t_char(produc1230355531on_val,hAPP_o1977518472on_val(the_Pr431167171on_val,hAPP_n546249108on_val(Ha,hAPP_list_char_nat(addr_of_sys_xcpt,C)))) = C))) # label(fact_1186_cname__of__xcp) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1290 (all Obj obj_ty(Obj) = hAPP_list_char_ty(class,hAPP_P1789965269t_char(produc1230355531on_val,Obj))) # label(fact_1188_obj__ty__def) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1291 (all A hAPP_val_nat(the_Addr,addr(A)) = A) # label(fact_1189_the__Addr_Osimps) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1292 (all Pa all Ea all H_0 all L_0 all E all H_1 all L_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_0),L_0)),E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),L_1_1))) -> hBOOL(ord_le2092826700r_bool(dom_list_char_val(L_0),dom_list_char_val(L_1_1))))) # label(fact_1190_eval__lcl__incr) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1293 (all Pa all Es_1 all H_0 all L_0 all Es all H_1 all L_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Es_1,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_0),L_0)),Es),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),L_1_1))) -> hBOOL(ord_le2092826700r_bool(dom_list_char_val(L_0),dom_list_char_val(L_1_1))))) # label(fact_1191_evals__lcl__incr) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1294 (all C all Ha (hBOOL(preallocated(Ha)) -> (hBOOL(member_list_char(C,sys_xcpts)) -> hBOOL(member_nat(hAPP_list_char_nat(addr_of_sys_xcpt,C),dom_na996029170on_val(Ha)))))) # label(fact_1192_preallocated__dom) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1295 (all Ea all H_0 all L_0 all E all H_1 all L_1_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_0),L_0))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),L_1_1))),red(Pa))) -> hBOOL(ord_le2092826700r_bool(dom_list_char_val(L_0),dom_list_char_val(L_1_1))))) # label(fact_1193_red__lcl__incr) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1296 (all Ea all Ha all L_1 all E all H all L all Pa (hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L))),transi2024712006on_val(red(Pa)))) -> hBOOL(ord_le2092826700r_bool(dom_list_char_val(L),semila919158006r_bool(dom_list_char_val(L_1),fv(Ea))))))) # label(fact_1194_Reds__dom__lcl) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1297 (all E_1 all E_2 fv(seq_list_char(E_1,E_2)) = semila919158006r_bool(fv(E_1),fv(E_2))) # label(fact_1195_fv__fvs_Osimps_I11_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1298 (all E_1 all F all D all E_2 fv(fAss_list_char(E_1,F,D,E_2)) = semila919158006r_bool(fv(E_1),fv(E_2))) # label(fact_1196_fv__fvs_Osimps_I8_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1299 (all E_1 all Bop all E_2 fv(binOp_list_char(E_1,Bop,E_2)) = semila919158006r_bool(fv(E_1),fv(E_2))) # label(fact_1197_fv__fvs_Osimps_I4_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1300 (all B all E_1 all E_2 fv(cond_list_char(B,E_1,E_2)) = semila919158006r_bool(semila919158006r_bool(fv(B),fv(E_1)),fv(E_2))) # label(fact_1198_fv__fvs_Osimps_I12_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.55 1301 (all B all Ea fv(while_list_char(B,Ea)) = semila919158006r_bool(fv(B),fv(Ea))) # label(fact_1199_fv__fvs_Osimps_I13_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.56 1302 (all P (is_bool(P) -> P = fTrue | P = fFalse)) # label(help_fTrue_1_1_T) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.56 1303 (all Q all P (-hBOOL(P) | -hBOOL(Q) | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q)))) # label(help_fconj_1_1_U) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.56 1304 (all P all Q (-hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q)) | hBOOL(P))) # label(help_fconj_2_1_U) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.56 1305 (all P all Q (-hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q)) | hBOOL(Q))) # label(help_fconj_3_1_U) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.56 1306 (all P (is_bool(P) -> P = fTrue | P = fFalse)) # label(help_fFalse_1_1_T) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.56 1307 (all X all Y (-hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(fequal_ty,X),Y)) | X = Y)) # label(help_fequal_1_1_fequal_000tc__Type__Oty_T) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.56 1308 (all X all Y (X != Y | hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(fequal_ty,X),Y)))) # label(help_fequal_2_1_fequal_000tc__Type__Oty_T) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.56 1309 (all X all Y (-hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(fequal_val,X),Y)) | X = Y)) # label(help_fequal_1_1_fequal_000tc__Value__Oval_T) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.56 1310 (all X all Y (X != Y | hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(fequal_val,X),Y)))) # label(help_fequal_2_1_fequal_000tc__Value__Oval_T) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.56 1311 (all P all Q hAPP_l207779698on_val(hAPP_o538043682on_val(cOMBK_1097134891t_char,P),Q) = P) # label(help_COMBK_1_1_COMBK_000tc__Option__Ooption_Itc__Value__Oval_J_000tc__List__Olis) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.56 1312 (all P all Q all R hAPP_l512744617ion_ty(hAPP_f359949478ion_ty(hAPP_f1243585741ion_ty(cOMBB_1888336841t_char,P),Q),R) = hAPP_ty_option_ty(P,hAPP_list_char_ty(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__Type__Oty_000tc__Option__Ooption_Itc__Type__Oty_J_00) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.56 1313 (all P all Q all R hAPP_f1033709212l_bool(hAPP_f1074020887l_bool(hAPP_f1863694447l_bool(cOMBB_383678192on_val,P),Q),R) = hAPP_bool_bool(P,hAPP_f1033709212l_bool(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__List__O) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.56 1314 (all P all Q all R hAPP_t97533526ar_val(hAPP_f883560141ar_val(hAPP_f1951920661ar_val(cOMBB_311099133val_ty,P),Q),R) = hAPP_v48258637ar_val(P,hAPP_ty_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__Value__Oval_000tc__prod_Itc__prod_Itc__List__Olist_I) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.56 1315 (all P all Q hAPP_f652398900ion_ty(hAPP_o534509643ion_ty(cOMBK_184479553on_val,P),Q) = P) # label(help_COMBK_1_1_COMBK_000tc__Option__Ooption_Itc__Type__Oty_J_000tc__fun_Itc__pro) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.56 1316 (all P all Q all R hAPP_f1033709212l_bool(hAPP_f603925568l_bool(hAPP_f181262431l_bool(cOMBC_832625297y_bool,P),Q),R) = hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(P,R),Q)) # label(help_COMBC_1_1_COMBC_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Optio) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.56 1317 (all P all Q hAPP_n546249108on_val(hAPP_o1576581476on_val(cOMBK_1944287343al_nat,P),Q) = P) # label(help_COMBK_1_1_COMBK_000tc__Option__Ooption_Itc__prod_Itc__List__Olist_Itc__Stri) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.56 1318 (all P all Q all R hAPP_l2000496933ion_ty(hAPP_f451501457ion_ty(hAPP_f509342689ion_ty(cOMBB_352765746t_char,P),Q),R) = hAPP_o534509643ion_ty(P,hAPP_l512744617ion_ty(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__Option__Ooption_Itc__Type__Oty_J_000tc__fun_Itc__fun) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.56 1319 (all P all Q all R hAPP_P221287148ar_val(hAPP_f1668074321ar_val(hAPP_f59905689ar_val(cOMBC_2111366340ar_val,P),Q),R) = hAPP_f883560141ar_val(hAPP_P289594851ar_val(P,R),Q)) # label(help_COMBC_1_1_COMBC_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List) # label(axiom) # label(non_clause). [assumption].
% 6.22/6.50 1320 (all P all Q all R hAPP_f1145256474l_bool(hAPP_f1452292669l_bool(hAPP_f1977633121l_bool(cOMBB_1303934920on_val,P),Q),R) = hAPP_b589554111l_bool(P,hAPP_f61040418l_bool(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo) # label(axiom) # label(non_clause). [assumption].
% 6.22/6.50 1321 (all P all Q all R hAPP_P289594851ar_val(hAPP_f1240485169ar_val(hAPP_f332422699ar_val(cOMBB_388225803t_char,P),Q),R) = hAPP_f1951920661ar_val(P,hAPP_P1321848547ar_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__Value__Oval_Mtc__prod_Itc__prod_Itc__List__) # label(axiom) # label(non_clause). [assumption].
% 6.22/6.50 1322 (all P all Q all R hAPP_f1175813647l_bool(hAPP_f550652027l_bool(hAPP_f838396643l_bool(cOMBC_2027949654l_bool,P),Q),R) = hAPP_f603925568l_bool(hAPP_f1617787571l_bool(P,R),Q)) # label(help_COMBC_1_1_COMBC_000tc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_It) # label(axiom) # label(non_clause). [assumption].
% 6.22/6.50 1323 (all P all Q all R hAPP_f1175813647l_bool(cOMBS_570216337l_bool(P,Q),R) = hAPP_f1074020887l_bool(hAPP_f1492320500l_bool(P,R),hAPP_f1175813647l_bool(Q,R))) # label(help_COMBS_1_1_COMBS_000tc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_It) # label(axiom) # label(non_clause). [assumption].
% 6.22/6.50 1324 (all P all Q all R hAPP_f1492320500l_bool(hAPP_f1523875321l_bool(hAPP_f592397849l_bool(cOMBB_1718333400on_val,P),Q),R) = hAPP_f1863694447l_bool(P,hAPP_f1145256474l_bool(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__fun_Itc) # label(axiom) # label(non_clause). [assumption].
% 6.22/6.50 1325 (all P all Q all R hAPP_f1617787571l_bool(hAPP_f857351829l_bool(hAPP_f348318673l_bool(cOMBB_1518282696on_val,P),Q),R) = hAPP_f181262431l_bool(P,hAPP_f1213370163y_bool(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M) # label(axiom) # label(non_clause). [assumption].
% 6.22/6.50 1326 -(hBOOL(wTrt(p,h,e_1,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,vs_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,ts),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,vs),e)))),t)) <-> hBOOL(wTrt(p,h,map_up891053837har_ty(e_1,vs_1,ts),e,t)) & (exists Ts (hAPP_l2006940821ion_ty(map_val_option_ty(typeof_h(h)),vs) = hAPP_l1487035934ion_ty(map_ty_option_ty(some_ty),Ts) & hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(widen_2090681816t_char(p),Ts),ts))))) # label(conj_2) # label(negated_conjecture) # label(non_clause). [assumption].
% 6.22/6.50
% 6.22/6.50 ============================== end of process non-clausal formulas ===
% 6.22/6.50
% 6.22/6.50 ============================== PROCESS INITIAL CLAUSES ===============
% 6.22/6.50
% 6.22/6.50 ============================== PREDICATE ELIMINATION =================
% 6.22/6.50
% 6.22/6.50 ============================== end predicate elimination =============
% 6.22/6.50
% 6.22/6.50 Auto_denials: (non-Horn, no changes).
% 6.22/6.50
% 6.22/6.50 Term ordering decisions:
% 6.22/6.50 Function symbol KB weights: produc1259058957on_val=1. val_list_char=1. produc1441475159on_val=1. produc899768717on_val=1. produc1611380469on_val=1. produc5062597t_char=1. product_Pair_val_val=1. produc379668296on_val=1. produc823076510on_val=1. size_s2113983095t_char=1. size_size_list_val=1. size_size_list_ty=1. produc621191550al_val=1. produc1909267824t_char=1. produc1916172923t_char=1. produc921874948t_char=1. produc1147572817t_char=1. size_s1143674878t_char=1. produc2036181286ar_val=1. some_P948696889on_val=1. size_s1444510216har_ty=1. some_val=1. fTrue=1. unit=1. class=1. addr_of_sys_xcpt=1. produc1924279125al_val=1. size_size_list_char=1. null=1. some_ty=1. size_s470606735on_val=1. size_s60479160on_val=1. produc1564932627on_val=1. produc1951691075on_val=1. produc24551831t_char=1. fFalse=1. produc57279289t_char=1. produc1317546007ar_val=1. produc1897818327t_char=1. produc1244920211al_val=1. produc1299387215t_char=1. produc2080520419t_char=1. produc499151895on_val=1. produc870913623on_val=1. size_s760178257ar_val=1. size_s1050794909ion_ty=1. nullPointer=1. produc1237966615t_char=1. produc2035944023t_char=1. produc2078839843st_val=1. produc512429457ist_ty=1. produc493060183on_val=1. produc584381409on_val=1. none_val=1. hp=1. size_s764697941har_ty=1. nt=1. produc601902295r_char=1. produc943465171t_char=1. product_Pair_ty_ty=1. wwf_J_mdecl=1. produc1002914035har_ty=1. produc251930284har_ty=1. produc1265154397har_ty=1. add=1. size_s1010401542t_char=1. size_s1595297126on_val=1. size_s1699857438on_val=1. size_s2086378294on_val=1. size_s655688734ar_val=1. size_size_list_nat=1. size_s1760542935har_ty=1. some_nat=1. void=1. classCast=1. sys_xcpts=1. ts=1. outOfMemory=1. fconj=1. h=1. p=1. vs=1. vs_1=1. default_val=1. e=1. e_1=1. fequal_ty=1. init_fields=1. none_P179726773on_val=1. t=1. this=1. cOMBB_1303934920on_val=1. cOMBB_1518282696on_val=1. cOMBB_1718333400on_val=1. cOMBB_383678192on_val=1. cOMBC_2027949654l_bool=1. cOMBC_832625297y_bool=1. cOMBK_1097134891t_char=1. c_Expr_Obop_OEq=1. fequal_val=1. none_nat=1. the_val=1. cOMBB_1888336841t_char=1. cOMBB_311099133val_ty=1. cOMBB_352765746t_char=1. cOMBB_388225803t_char=1. cOMBC_2111366340ar_val=1. cOMBK_184479553on_val=1. cOMBK_1944287343al_nat=1. produc1230355531on_val=1. size_s1457910402on_val=1. the_Pr431167171on_val=1. bop=1. char=1. map_of1247784410ar_val=1. none_ty=1. produc1517998010on_val=1. size_s1518787998har_ty=1. the_Addr=1. the_nat=1. the_ty=1. c1=1. hAPP_P159683425l_bool=1. hAPP_e1833980889l_bool=1. hAPP_P604205461on_val=1. hAPP_e1659493427on_val=1. hAPP_v834067052t_char=1. hAPP_P1870962205on_val=1. hAPP_P1886180715on_val=1. member773094996on_val=1. hAPP_f1727192346on_val=1. hAPP_f1849790461on_val=1. hAPP_P1526035745on_val=1. hAPP_P658340954on_val=1. hAPP_l208357873t_char=1. hAPP_l2100324114t_char=1. hAPP_v1519391al_val=1. hAPP_v852496844al_val=1. hAPP_P1963616220on_val=1. hAPP_l1275479261on_val=1. hAPP_f900686428on_val=1. hAPP_l1786340417on_val=1. hAPP_l66428094ar_nat=1. hAPP_list_val_nat=1. hAPP_list_ty_nat=1. hAPP_list_ty_bool=1. hAPP_P929466802al_val=1. hAPP_b1229254591al_val=1. hAPP_P1392904962t_char=1. hAPP_l14371579t_char=1. member875476972on_val=1. hAPP_list_char_bool=1. hAPP_P767818445t_char=1. hAPP_e1752110927t_char=1. hAPP_l1859255743t_char=1. hAPP_l1873467853t_char=1. hAPP_l2011456725t_char=1. hAPP_list_char_nat=1. hAPP_val_bool=1. while_list_char=1. hAPP_l732421366t_char=1. member1251428284t_char=1. hAPP_e952791821t_char=1. hAPP_l796364813t_char=1. hAPP_list_ty_list_ty=1. hAPP_l452123639ar_nat=1. hAPP_P1321848547ar_val=1. hAPP_P1510515380on_val=1. hAPP_l273806049st_val=1. hAPP_v48258637ar_val=1. hAPP_P1708370145l_bool=1. hAPP_P71593144l_bool=1. append_exp_list_char=1. hAPP_l146377954l_bool=1. hAPP_l1487035934ion_ty=1. hAPP_l1892737211st_val=1. hAPP_l2006940821ion_ty=1. list_all2_ty_ty=1. seq_list_char=1. hAPP_l540212137ty_nat=1. hAPP_l608137480ar_val=1. hAPP_n546249108on_val=1. hAPP_e544220455r_bool=1. hAPP_val_option_val=1. hAPP_ty_bool=1. hAPP_ty_option_ty=1. hAPP_l407174677t_char=1. lAss_list_char=1. hAPP_P929938951l_bool=1. hAPP_l207779698on_val=1. hAPP_P1907982426r_bool=1. hAPP_list_char_ty=1. list_all2_val_ty=1. hAPP_P1538518401al_val=1. hAPP_P2123720426al_val=1. hAPP_P2118621157r_bool=1. hAPP_l1746926841al_nat=1. hAPP_l1766199206al_nat=1. member649088532al_val=1. hAPP_P1486793863on_val=1. hAPP_P1539798428t_char=1. hAPP_P1758592847on_val=1. hAPP_P2015431471on_val=1. hAPP_P2077211775on_val=1. hAPP_P719127871t_char=1. hAPP_P1333668416t_char=1. hAPP_P1859316965t_char=1. hAPP_b97269396l_bool=1. hAPP_P1342907945t_char=1. hAPP_P800634639ar_val=1. hAPP_P91410073t_char=1. hAPP_P976385092ar_val=1. hAPP_ty_fun_ty_bool=1. hAPP_val_option_ty=1. cast_list_char=1. hAPP_P1071727823t_char=1. hAPP_P1220989409t_char=1. hAPP_P1657265855t_char=1. hAPP_P1668407995t_char=1. hAPP_P1874979071al_val=1. hAPP_P1875010047on_val=1. hAPP_P265246237on_val=1. hAPP_P291613419on_val=1. hAPP_P330218428on_val=1. hAPP_P47773639al_val=1. hAPP_l1280603808al_nat=1. hAPP_l289305880ty_nat=1. hAPP_f1033709212l_bool=1. hAPP_l1361600383r_bool=1. hAPP_f1175813647l_bool=1. hAPP_v1392248405l_bool=1. member_list_char=1. hAPP_f1715346603l_bool=1. hAPP_P1116729363l_bool=1. hAPP_P1183008383l_bool=1. hAPP_P486515074l_bool=1. hAPP_l103437071st_val=1. hAPP_l1062423959r_bool=1. hAPP_l1105836155t_char=1. hAPP_l1249476511st_val=1. hAPP_l1319068228ist_ty=1. hAPP_l1648260346t_char=1. hAPP_l1770520637ist_ty=1. hAPP_l1883348915t_char=1. hAPP_l1987619678r_bool=1. hAPP_l2019537453t_char=1. hAPP_l214204733r_bool=1. hAPP_l217977712r_bool=1. hAPP_l465799708l_bool=1. hAPP_l305548949ion_ty=1. hext=1. member1732271180al_val=1. hAPP_l1324137613on_val=1. hAPP_l1485560508on_val=1. hAPP_l1588290397on_val=1. hAPP_l1701465547on_val=1. append_ty=1. hAPP_P1333315679l_bool=1. hAPP_P282169671l_bool=1. hAPP_l23466336ty_nat=1. hAPP_P703866694on_val=1. hAPP_P943837928l_bool=1. hAPP_list_char_val=1. member1161907014t_char=1. member125098544t_char=1. member1322055188on_val=1. member1420286996t_char=1. member1999287380t_char=1. member563141460on_val=1. member619264020ar_val=1. member794220506t_char=1. member808015754on_val=1. member837208074al_val=1. member88670778on_val=1. hAPP_P92196306r_bool=1. hAPP_P841862366ar_val=1. hAPP_c1242523777r_char=1. hAPP_c802977373r_char=1. hAPP_e1376201919t_char=1. hAPP_e817857447t_char=1. hAPP_t1494094285_ty_ty=1. hAPP_t65172803_ty_ty=1. hAPP_val_fun_ty_bool=1. wf_pro755087577t_char=1. hAPP_P449474095r_bool=1. hAPP_l1208602837on_val=1. hAPP_l1695428693on_val=1. hAPP_l248265089st_nat=1. hAPP_l250787541t_char=1. member_val=1. hAPP_P295788316har_ty=1. hAPP_l1074208899t_char=1. hAPP_l1948972481har_ty=1. hAPP_l848957697har_ty=1. hAPP_t1875766236har_ty=1. append_val=1. conf_P373316194t_char=1. hAPP_P1070896250l_bool=1. hAPP_P1235399154l_bool=1. hAPP_P2014166431r_bool=1. hAPP_P827589667har_ty=1. hAPP_f1001225811y_bool=1. hAPP_l254081045on_val=1. hAPP_l76241055on_val=1. hAPP_t708040077har_ty=1. member104734088ist_ty=1. member273646106st_val=1. member817832404t_char=1. member894971540t_char=1. hAPP_f1213370163y_bool=1. hAPP_f2060496320y_bool=1. hAPP_l1462265297ar_val=1. hAPP_l1790629643on_val=1. hAPP_l228474410st_val=1. hAPP_l297961988on_val=1. hAPP_l721971010on_val=1. hAPP_l823328606ar_val=1. map_ad325961431ar_val=1. hAPP_l1593094847al_nat=1. hAPP_l1794950871al_nat=1. hAPP_l365675759ar_nat=1. hAPP_l49336279al_nat=1. hAPP_l870066319al_nat=1. hAPP_list_nat_nat=1. member1942985176on_val=1. member295766740on_val=1. hAPP_P2028072621l_bool=1. hAPP_P378063101l_bool=1. hAPP_P824029447r_bool=1. hAPP_l1526684570ty_nat=1. hAPP_l162677262har_ty=1. hAPP_l1910281173har_ty=1. hAPP_nat_option_nat=1. assigned=1. hAPP_P738987199l_bool=1. hAPP_l512744617ion_ty=1. member_nat=1. member_ty=1. append_list_char=1. comp_l424027617har_ty=1. comp_o1129292306t_char=1. hAPP_P1002912327r_bool=1. hAPP_P1240100515r_bool=1. hAPP_P1700239815r_bool=1. hAPP_P439015943l_bool=1. hAPP_l1538097584r_bool=1. hAPP_l1948381865r_bool=1. hAPP_list_val_bool=1. ord_le2092826700r_bool=1. semila919158006r_bool=1. hAPP_f61040418l_bool=1. member_exp_list_char=1. typeSa1700205512_sconf=1. hAPP_P1038730315l_bool=1. hAPP_P1183499705r_bool=1. hAPP_P1221872711l_bool=1. hAPP_P124632071l_bool=1. hAPP_P1574824955y_bool=1. hAPP_P1632759357r_bool=1. hAPP_P1716187463y_bool=1. hAPP_P1821438151l_bool=1. hAPP_P2010574925r_bool=1. hAPP_P2115985549l_bool=1. hAPP_P2123002749l_bool=1. hAPP_P27757617y_bool=1. hAPP_P476431815r_bool=1. hAPP_P499022727r_bool=1. hAPP_P748443392y_bool=1. hAPP_P831231943y_bool=1. hAPP_bool_bool=1. hAPP_l1176981118y_bool=1. hAPP_l1440102849l_bool=1. hAPP_l1836003391har_ty=1. hAPP_l2060099886l_bool=1. hAPP_l292106447y_bool=1. hAPP_l492540231l_bool=1. hAPP_l968768258on_val=1. member1783291580har_ty=1. member_option_ty=1. hAPP_P2094403585on_val=1. hAPP_b589554111l_bool=1. hAPP_l1328999414ion_ty=1. hAPP_l1463304939on_val=1. hAPP_l164125796on_val=1. hAPP_l1716957862ion_ty=1. hAPP_l1725810570on_val=1. hAPP_l601126435ion_ty=1. hAPP_l642124097on_val=1. hAPP_l827505693ion_ty=1. hAPP_l863887876ion_ty=1. hAPP_option_val_val=1. hAPP_ty_val=1. member1199939018t_char=1. member1725532372r_char=1. member1736614484_ty_ty=1. cOMBS_570216337l_bool=1. hAPP_f1452292669l_bool=1. hAPP_f1523875321l_bool=1. hAPP_f1977633121l_bool=1. hAPP_f348318673l_bool=1. hAPP_f550652027l_bool=1. hAPP_f592397849l_bool=1. hAPP_f838396643l_bool=1. hAPP_f857351829l_bool=1. hAPP_l1023956544st_val=1. hAPP_l1261744106har_ty=1. hAPP_l1342091219st_val=1. hAPP_l1473803152st_val=1. hAPP_l1523427673st_val=1. hAPP_l1683732356t_char=1. hAPP_l2038191751t_char=1. hAPP_l2043127767t_char=1. hAPP_l220561168har_ty=1. hAPP_l330149622t_char=1. hAPP_l336371937st_val=1. hAPP_l347191422t_char=1. hAPP_l473790130st_val=1. hAPP_l499600071har_ty=1. hAPP_l527892593har_ty=1. hAPP_l925187813t_char=1. hAPP_nat_bool=1. hAPP_o538043682on_val=1. member806854661ar_val=1. append_option_ty=1. comp_l1825390573t_char=1. comp_l347675690har_ty=1. hAPP_P1789965269t_char=1. hAPP_P289594851ar_val=1. hAPP_f1074020887l_bool=1. hAPP_f1145256474l_bool=1. hAPP_f1240485169ar_val=1. hAPP_f1243585741ion_ty=1. hAPP_f1492320500l_bool=1. hAPP_f1617787571l_bool=1. hAPP_f1668074321ar_val=1. hAPP_f181262431l_bool=1. hAPP_f1863694447l_bool=1. hAPP_f1951920661ar_val=1. hAPP_f332422699ar_val=1. hAPP_f359949478ion_ty=1. hAPP_f451501457ion_ty=1. hAPP_f509342689ion_ty=1. hAPP_f59905689ar_val=1. hAPP_f603925568l_bool=1. hAPP_f883560141ar_val=1. hAPP_l1000746233on_val=1. hAPP_l1014734695on_val=1. hAPP_l102711883ar_val=1. hAPP_l1111097995st_nat=1. hAPP_l1134997550on_val=1. hAPP_l121373941ar_val=1. hAPP_l1218266887t_char=1. hAPP_l1336021888har_ty=1. hAPP_l1379210717t_char=1. hAPP_l1416713636t_char=1. hAPP_l1426221334ar_val=1. hAPP_l1496769042st_nat=1. hAPP_l1530663448st_val=1. hAPP_l1539861698st_val=1. hAPP_l1557845365on_val=1. hAPP_l1585742349on_val=1. hAPP_l1607890493on_val=1. hAPP_l1634001311on_val=1. hAPP_l1687586302t_char=1. hAPP_l1718801839al_nat=1. hAPP_l1975021756ar_val=1. hAPP_l2065413838t_char=1. hAPP_l2092195639on_val=1. hAPP_l2122855380on_val=1. hAPP_l2147361720ar_val=1. hAPP_l277434984st_nat=1. hAPP_l278271321ar_val=1. hAPP_l294838950har_ty=1. hAPP_l324487089st_nat=1. hAPP_l382831894on_val=1. hAPP_l402740472t_char=1. hAPP_l418486716on_val=1. hAPP_l573877853har_ty=1. hAPP_l602170375har_ty=1. hAPP_l606396970ar_val=1. hAPP_l654786079ar_val=1. hAPP_l761459294on_val=1. hAPP_l922645359t_char=1. hAPP_o1576581476on_val=1. hAPP_o1977518472on_val=1. hAPP_o534509643ion_ty=1. lexn_char=1. lexn_exp_list_char=1. lexn_list_char=1. lexn_ty=1. lexn_val=1. map_add_list_char_ty=1. restri761823004ar_val=1. append1049742455ar_val=1. append590652462har_ty=1. hAPP_P1439304705on_val=1. hAPP_P221287148ar_val=1. hAPP_P760138657t_char=1. hAPP_P918220497on_val=1. hAPP_f388705405r_bool=1. hAPP_f652398900ion_ty=1. hAPP_l1002225652ion_ty=1. hAPP_l1044806633ist_ty=1. hAPP_l1097172935ist_ty=1. hAPP_l1097436295on_val=1. hAPP_l1207846970ar_val=1. hAPP_l1298778931ar_val=1. hAPP_l1368737135t_char=1. hAPP_l1429130273on_val=1. hAPP_l1491470139ion_ty=1. hAPP_l1538085392ist_ty=1. hAPP_l1583451544ist_ty=1. hAPP_l1664314621t_char=1. hAPP_l1705142505t_char=1. hAPP_l1890693879t_char=1. hAPP_l1927076062t_char=1. hAPP_l1956999469on_val=1. hAPP_l1961350547ty_nat=1. hAPP_l2000496933ion_ty=1. hAPP_l244703952t_char=1. hAPP_l273343760on_val=1. hAPP_l281179442t_char=1. hAPP_l412706649ar_val=1. hAPP_l560448119ist_ty=1. hAPP_l632662400t_char=1. hAPP_l664719479on_val=1. hAPP_l674002314ist_ty=1. hAPP_l713251482on_val=1. hAPP_l838080012t_char=1. hAPP_l863146944on_val=1. hAPP_l89656979t_char=1. hAPP_l897806566on_val=1. hAPP_l958580624ar_val=1. hAPP_nat_nat=1. hAPP_option_nat_nat=1. hAPP_option_ty_ty=1. hAPP_t97533526ar_val=1. hAPP_val_nat=1. list_a1068996522ty_val=1. list_a1073113293ty_val=1. list_a1115291042har_ty=1. list_a1169722591t_char=1. list_a123308442ar_val=1. list_a1337954418t_char=1. list_a1462908359ion_ty=1. list_a1478901862t_char=1. list_a1479679312t_char=1. list_a1552939645r_char=1. list_a1554965796ar_val=1. list_a1609582481ar_val=1. list_a1647123652r_char=1. list_a1822188631t_char=1. list_a182912018val_ty=1. list_a1834344429ion_ty=1. list_a1839848952on_val=1. list_a1874290002on_val=1. list_a1880637950ion_ty=1. list_a1889288097al_val=1. list_a196402809t_char=1. list_a2001304881val_ty=1. list_a2039389316_ty_ty=1. list_a2075757640har_ty=1. list_a2080147979on_val=1. list_a216081281on_val=1. list_a24143385t_char=1. list_a283687028t_char=1. list_a288514022on_val=1. list_a292640256t_char=1. list_a307207512val_ty=1. list_a392402672on_val=1. list_a400141291ar_val=1. list_a422786208t_char=1. list_a52822260ion_ty=1. list_a594658042al_val=1. list_a595061083al_val=1. list_a623412059har_ty=1. list_a789546247t_char=1. list_a809715167on_val=1. list_a839443437t_char=1. list_a860324561har_ty=1. list_a88719801on_val=1. list_a985311713_ty_ty=1. list_all2_char_ty=1. list_all2_char_val=1. list_all2_ty_char=1. list_all2_val_char=1. f1=1. f2=1. f3=1. f4=1. f5=1. f6=1. f7=1. f8=1. f9=1. f10=1. f11=1. f12=1. f13=1. f14=1. f15=1. f31=1. f32=1. f33=1. f34=1. f35=1. f36=1. f37=1. f38=1. f39=1. f40=1. f41=1. f42=1. f43=1. f44=1. f45=1. f46=1. f47=1. f48=1. f49=1. f50=1. f51=1. f52=1. f53=1. f54=1. f55=1. f56=1. f57=1. f58=1. f59=1. f60=1. f61=1. f62=1. f269=1. f270=1. f271=1. f272=1. f273=1. f274=1. f275=1. f276=1. f277=1. f278=1. f279=1. f280=1. f281=1. f282=1. f283=1. f284=1. f285=1. f286=1. f287=1. f288=1. f289=1. f290=1. f291=1. f292=1. f293=1. f294=1. f295=1. f301=1. f585=1. f586=1. f587=1. f588=1. f589=1. f596=1. f597=1. f599=1. f600=1. f602=1. f603=1. f605=1. f606=1. f608=1. f609=1. f611=1. f612=1. f613=1. f615=1. f616=1. f617=1. f679=1. f680=1. f697=1. f699=1. throw_list_char=1. red=1. transi2024712006on_val=1. addr=1. bool=1. cons_exp_list_char=1. map_va1934808527t_char=1. cons_ty=1. cons_val=1. map_list_char_val=1. map_ty_option_ty=1. map_val_option_ty=1. transi374442731on_val=1. map_Pr1153581243ar_val=1. transi1395422419t_char=1. cons_list_char=1. fv=1. widen_2090681816t_char=1. transi935034983cl_val=1. reds=1. typeof_h=1. binop=1. cons_option_ty=1. transi1906258203al_val=1. preallocated=1. final_list_char=1. is_refT=1. map_li1065623653on_val=1. map_li50976719on_val=1. map_li596218076on_val=1. map_li912744805ar_val=1. map_option_val_val=1. set_val=1. transi1095029602t_char=1. transi122195895t_char=1. transi1257872013t_char=1. transi1423755450al_val=1. transi1600669663ar_val=1. transi1789604888t_char=1. transi198989188t_char=1. transi208336786on_val=1. transi61620055on_val=1. transi910771962on_val=1. transi921647814on_val=1. blocks=1. cons_P1190705016on_val=1. cons_P1917484281on_val=1. cons_char=1. lconf_496643946t_char=1. set_list_char=1. subcls851966956t_char=1. map_Pr1655409582on_val=1. map_Pr1729094110on_val=1. map_Pr361633150t_char=1. map_li1333403488t_char=1. map_nat_nat=1. new_list_char=1. cons_P2112347922ar_val=1. lex_Pr830868420on_val=1. lex_Pr979517357on_val=1. lex_char=1. lex_exp_list_char=1. lex_list_char=1. lex_ty=1. lex_val=1. map_Pr1267419400har_ty=1. map_Pr1471044963har_ty=1. dom_list_char_val=1. finals_list_char=1. distinct_list_char=1. new_Addr=1. set_ty=1. hconf_97414254t_char=1. is_cla570604648t_char=1. cons_P796333129har_ty=1. distin1349260956on_val=1. distin1416307044t_char=1. distin179070212on_val=1. distin1973552748t_char=1. distinct_nat=1. distinct_ty=1. distinct_val=1. set_exp_list_char=1. map_Pr1247945830ion_ty=1. map_Pr1420995486ion_ty=1. map_Pr1783250717ion_ty=1. map_Pr590903501ion_ty=1. map_char_option_ty=1. map_ex1279484156on_val=1. map_li1461022915on_val=1. map_op1363057580ion_ty=1. map_ty330392676on_val=1. map_va1286924123on_val=1. set_Pr1831523898har_ty=1. set_Pr1921835862on_val=1. set_Pr550895038t_char=1. set_Pr771975662on_val=1. set_nat=1. set_option_ty=1. subcls744239332t_char=1. transi1065307915t_char=1. cons_P1546421407on_val=1. cons_P2009561711t_char=1. cons_P511631239on_val=1. cons_nat=1. map_Pr1022222522al_val=1. map_Pr1211171455t_char=1. map_Pr1583805314al_val=1. map_Pr161410094t_char=1. map_Pr1730568083al_val=1. map_Pr187266887t_char=1. map_Pr863062654t_char=1. map_Pr961574211ty_val=1. map_ch278031520t_char=1. map_char_val=1. map_ex1811769730har_ty=1. map_li1980326729har_ty=1. map_op1779340173t_char=1. map_option_ty_val=1. map_ty1511906538har_ty=1. map_va1968335329har_ty=1. produc1159035454l_bool=1. produc1555310053l_bool=1. produc156891095r_bool=1. produc1574020101r_bool=1. produc1838470831l_bool=1. produc1911975310l_bool=1. produc2053127004l_bool=1. produc2062775566l_bool=1. produc218426791l_bool=1. produc288369490r_bool=1. produc481748255l_bool=1. produc550034914r_bool=1. produc886919678l_bool=1. produc95371820r_bool=1. map_Pr1591425018ar_val=1. map_Pr618945291ar_val=1. map_Pr879013170ar_val=1. map_ch1589830937ar_val=1. map_ex1185884067ar_nat=1. map_ex1598883030on_val=1. map_ex178392974ar_val=1. map_ex2031894694on_val=1. map_ex2035595288har_ty=1. map_ex2109939687t_char=1. map_ex230966390t_char=1. map_ex740158547ar_val=1. map_ex840371726on_val=1. map_li1100402823on_val=1. map_li1925379487on_val=1. map_li239070063t_char=1. map_li401377927ar_val=1. map_li56668639har_ty=1. map_list_char_nat=1. map_op1852210284ar_val=1. map_ty1597677374on_val=1. map_ty1735732096har_ty=1. map_ty1751634702t_char=1. map_ty217218598ar_val=1. map_ty891785382on_val=1. map_ty_list_char=1. map_ty_nat=1. map_ty_option_val=1. map_ty_val=1. map_va234578647t_char=1. map_va44677239har_ty=1. map_va45294063ar_val=1. map_va527586287on_val=1. map_va787979527on_val=1. map_val_list_char=1. map_val_nat=1. map_val_option_val=1. map_val_val=1. produc1958875245l_bool=1. set_Pr309835907ar_val=1. dom_na996029170on_val=1. map_Pr1152367783t_char=1. map_Pr1636893690_ty_ty=1. map_Pr1809410112t_char=1. map_Pr197231351t_char=1. map_Pr1982459768t_char=1. map_Pr199785201val_ty=1. map_Pr401282634val_ty=1. map_Pr58749369val_ty=1. map_char_list_char=1. map_char_ty=1. map_ex1319446475ar_val=1. map_ex1452011826on_val=1. map_ex1548475405ion_ty=1. map_ex1634568356r_char=1. map_ex20783615on_val=1. map_li1622452344on_val=1. map_li37924370ar_val=1. map_li586533881on_val=1. map_li771939206ion_ty=1. map_list_char_char=1. map_op1924521862t_char=1. map_option_ty_ty=1. map_ty15886131ar_val=1. map_ty268240023on_val=1. map_ty763542682on_val=1. map_ty_char=1. map_va1077464032on_val=1. map_va742516906ar_val=1. map_va828275345on_val=1. map_val_char=1. obj_ty=1. produc1553344466ar_val=1. produc907433735ion_ty=1. undefined_bop=1. undefined_char=1. f16=1. f17=1. f18=1. f19=1. f20=1. f21=1. f22=1. f23=1. f24=1. f25=1. f26=1. f27=1. f28=1. f29=1. f30=1. f63=1. f64=1. f65=1. f66=1. f67=1. f68=1. f69=1. f70=1. f71=1. f72=1. f73=1. f74=1. f75=1. f76=1. f77=1. f78=1. f79=1. f80=1. f81=1. f82=1. f83=1. f84=1. f85=1. f86=1. f87=1. f88=1. f89=1. f90=1. f91=1. f92=1. f93=1. f94=1. f95=1. f96=1. f97=1. f98=1. f99=1. f100=1. f101=1. f102=1. f103=1. f104=1. f105=1. f106=1. f107=1. f108=1. f109=1. f110=1. f111=1. f112=1. f113=1. f114=1. f115=1. f116=1. f117=1. f118=1. f119=1. f120=1. f121=1. f122=1. f123=1. f124=1. f125=1. f126=1. f127=1. f128=1. f129=1. f130=1. f131=1. f132=1. f133=1. f134=1. f135=1. f136=1. f137=1. f138=1. f139=1. f140=1. f141=1. f142=1. f143=1. f144=1. f145=1. f146=1. f147=1. f148=1. f149=1. f150=1. f151=1. f152=1. f153=1. f154=1. f155=1. f156=1. f157=1. f158=1. f159=1. f160=1. f161=1. f162=1. f163=1. f164=1. f165=1. f166=1. f167=1. f168=1. f169=1. f170=1. f171=1. f172=1. f173=1. f174=1. f175=1. f176=1. f177=1. f178=1. f179=1. f180=1. f181=1. f182=1. f183=1. f184=1. f185=1. f186=1. f187=1. f188=1. f189=1. f190=1. f191=1. f192=1. f193=1. f194=1. f195=1. f196=1. f197=1. f198=1. f199=1. f200=1. f201=1. f202=1. f203=1. f204=1. f205=1. f206=1. f207=1. f208=1. f209=1. f210=1. f211=1. f212=1. f213=1. f214=1. f215=1. f216=1. f217=1. f218=1. f219=1. f220=1. f221=1. f222=1. f223=1. f224=1. f225=1. f226=1. f227=1. f228=1. f229=1. f230=1. f231=1. f232=1. f233=1. f234=1. f235=1. f236=1. f237=1. f238=1. f239=1. f240=1. f241=1. f242=1. f243=1. f244=1. f245=1. f246=1. f247=1. f248=1. f249=1. f250=1. f251=1. f252=1. f253=1. f254=1. f255=1. f256=1. f257=1. f258=1. f259=1. f260=1. f261=1. f262=1. f263=1. f264=1. f265=1. f266=1. f267=1. f268=1. f304=1. f305=1. f306=1. f307=1. f308=1. f309=1. f310=1. f311=1. f312=1. f313=1. f314=1. f315=1. f316=1. f317=1. f318=1. f319=1. f320=1. f321=1. f322=1. f323=1. f324=1. f325=1. f326=1. f327=1. f328=1. f329=1. f330=1. f331=1. f332=1. f333=1. f334=1. f335=1. f336=1. f337=1. f338=1. f339=1. f340=1. f341=1. f342=1. f343=1. f344=1. f345=1. f346=1. f347=1. f348=1. f349=1. f350=1. f351=1. f352=1. f353=1. f354=1. f355=1. f356=1. f357=1. f358=1. f359=1. f360=1. f361=1. f362=1. f363=1. f364=1. f365=1. f366=1. f367=1. f368=1. f369=1. f370=1. f371=1. f372=1. f373=1. f374=1. f375=1. f376=1. f377=1. f378=1. f379=1. f380=1. f381=1. f382=1. f383=1. f384=1. f385=1. f386=1. f387=1. f388=1. f389=1. f390=1. f391=1. f392=1. f393=1. f394=1. f395=1. f396=1. f397=1. f398=1. f399=1. f400=1. f401=1. f402=1. f403=1. f404=1. f405=1. f690=1. f696=1. f698=1. eval=1. redp=1. binOp_list_char=1. call_list_char=1. block_list_char=1. fun_up1149430426on_val=1. cond_list_char=1. fAcc_list_char=1. evals=1. map_up1085636310ar_val=1. fun_up2041264236on_val=1. map_up891053837har_ty=1. fun_up424764369ion_ty=1. overri2012515291on_val=1. redsp=1. fields1147507508t_char=1. fun_up204312361on_val=1. option1388193227on_val=1. f551=1. f552=1. f553=1. f554=1. f555=1. f556=1. f557=1. f558=1. f575=1. f576=1. f577=1. f578=1. f579=1. f590=1. f591=1. f592=1. f593=1. f594=1. f595=1. f598=1. f601=1. f604=1. f607=1. f700=1. fAss_list_char=1. tryCatch_list_char=1. has_fi1183600461t_char=1. f296=1. f297=1. f298=1. f299=1. f300=1. f302=1. f303=1. f406=1. f409=1. f410=1. f559=1. f560=1. f561=1. f562=1. f563=1. f564=1. f565=1. f566=1. f567=1. f568=1. f569=1. f570=1. f571=1. f572=1. f573=1. f574=1. f580=1. f581=1. f582=1. f583=1. f584=1. f618=1. f619=1. f620=1. f621=1. f622=1. f623=1. f624=1. f625=1. f626=1. f627=1. f628=1. f629=1. f630=1. f631=1. f632=1. f633=1. f634=1. f635=1. f636=1. f637=1. f638=1. f639=1. f640=1. f641=1. f642=1. f643=1. f644=1. f645=1. f646=1. wTrt=1. wTrt_1=1. wTrts_1=1. wTrts=1. f411=1. f412=1. f413=1. f414=1. f415=1. f416=1. f417=1. f418=1. f419=1. f420=1. f421=1. f422=1. f423=1. f424=1. f425=1. f426=1. f427=1. f428=1. f429=1. f430=1. f431=1. f432=1. f433=1. f434=1. f435=1. f436=1. f437=1. f438=1. f610=1. f614=1. f662=1. f663=1. f664=1. f670=1. f671=1. f672=1. f673=1. f674=1. method1809630380t_char=1. f408=1. f439=1. f440=1. f441=1. f442=1. f443=1. f444=1. f445=1. f446=1. f447=1. f448=1. f449=1. f450=1. f451=1. f452=1. f453=1. f454=1. f455=1. f456=1. f457=1. f458=1. f459=1. f460=1. f461=1. f462=1. f463=1. f464=1. f465=1. f466=1. f467=1. f468=1. f469=1. f470=1. f471=1. f472=1. f473=1. f474=1. f475=1. f476=1. f477=1. f478=1. f479=1. f480=1. f481=1. f482=1. f483=1. f484=1. f485=1. f486=1. f487=1. f488=1. f489=1. f490=1. f491=1. f492=1. f493=1. f494=1. f495=1. f496=1. f497=1. f498=1. f499=1. f500=1. f501=1. f502=1. f503=1. f504=1. f505=1. f506=1. f507=1. f508=1. f509=1. f510=1. f511=1. f512=1. f513=1. f514=1. f515=1. f516=1. f517=1. f518=1. f519=1. f520=1. f521=1. f522=1. f523=1. f524=1. f525=1. f526=1. f527=1. f528=1. f529=1. f530=1. f531=1. f532=1. f533=1. f534=1. f535=1. f536=1. f537=1. f538=1. f539=1. f540=1. f541=1. f542=1. f543=1. f544=1. f545=1. f546=1. f547=1. f548=1. f549=1. f550=1. f655=1. f656=1. f657=1. f658=1. f659=1. f660=1. f661=1. f666=1. f667=1. f668=1. f669=1. f681=1. f682=1. f683=1. f684=1. f685=1. f686=1. f687=1. f688=1. f689=1. f647=1. f648=1. f649=1. f650=1. f651=1. f652=1. f653=1. f654=1. f675=1. f676=1. f677=1. f678=1. f691=1. f701=1. f702=1. f703=1. f665=1. f692=1. f693=1. f694=1. f695=1. f407=1.
% 19.00/19.22
% 19.00/19.22 ============================== end of process initial clauses ========
% 19.00/19.22
% 19.00/19.22 ============================== CLAUSES FOR SEARCH ====================
% 19.00/19.22
% 19.00/19.22 ============================== end of clauses for search =============
% 19.00/19.22
% 19.00/19.22 ============================== SEARCH ================================
% 19.00/19.22
% 19.00/19.22 % Starting search at 4.37 seconds.
% 19.00/19.22
% 19.00/19.22 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 7.53 sec).
% 19.00/19.22
% 19.00/19.22 Low Water (keep): wt=72.000, iters=3568
% 19.00/19.22
% 19.00/19.22 Low Water (keep): wt=67.000, iters=3539
% 19.00/19.22
% 19.00/19.22 Low Water (keep): wt=64.000, iters=3519
% 19.00/19.22
% 19.00/19.22 Low Water (keep): wt=59.000, iters=3364
% 19.00/19.22
% 19.00/19.22 Low Water (keep): wt=49.000, iters=3393
% 19.00/19.22
% 19.00/19.22 Low Water (keep): wt=45.000, iters=3343
% 19.00/19.22
% 19.00/19.22 Low Water (keep): wt=43.000, iters=3341
% 19.00/19.22
% 19.00/19.22 Low Water (keep): wt=42.000, iters=3413
% 19.00/19.22
% 19.00/19.22 Low Water (keep): wt=40.000, iters=3364
% 19.00/19.22
% 19.00/19.22 Low Water (keep): wt=38.000, iters=3342
% 19.00/19.22
% 19.00/19.22 Low Water (keep): wt=37.000, iters=3356
% 19.00/19.22
% 19.00/19.22 Low Water (keep): wt=36.000, iters=3344
% 19.00/19.22
% 19.00/19.22 Low Water (keep): wt=35.000, iters=3413
% 19.00/19.22
% 19.00/19.22 Low Water (keep): wt=34.000, iters=3335
% 19.00/19.22
% 19.00/19.22 Low Water (keep): wt=32.000, iters=3352
% 19.00/19.22
% 19.00/19.22 Low Water (keep): wt=29.000, iters=3442
% 74.11/74.36
% 74.11/74.36 Low Water (keep): wt=28.000, iters=3335
% 74.11/74.36
% 74.11/74.36 Low Water (keep): wt=27.000, iters=3461
% 74.11/74.36
% 74.11/74.36 Low Water (keep): wt=26.000, iters=3333
% 74.11/74.36
% 74.11/74.36 Low Water (keep): wt=25.000, iters=3385
% 74.11/74.36
% 74.11/74.36 Low Water (keep): wt=24.000, iters=3368
% 74.11/74.36
% 74.11/74.36 Low Water (keep): wt=23.000, iters=3413
% 74.11/74.36
% 74.11/74.36 Low Water (keep): wt=22.000, iters=3388
% 74.11/74.36
% 74.11/74.36 Low Water (keep): wt=21.000, iters=3386
% 74.11/74.36
% 74.11/74.36 Low Water (keep): wt=20.000, iters=3370
% 74.11/74.36
% 74.11/74.36 Low Water (displace): id=4131, wt=140.000
% 74.11/74.36
% 74.11/74.36 Low Water (displace): id=5136, wt=113.000
% 74.11/74.36
% 74.11/74.36 Low Water (displace): id=5078, wt=106.000
% 74.11/74.36
% 74.11/74.36 Low Water (displace): id=5077, wt=103.000
% 74.11/74.36
% 74.11/74.36 Low Water (displace): id=5135, wt=101.000
% 74.11/74.36
% 74.11/74.36 Low Water (displace): id=4732, wt=100.000
% 74.11/74.36
% 74.11/74.36 Low Water (displace): id=4649, wt=98.000
% 74.11/74.36
% 74.11/74.36 Low Water (displace): id=5054, wt=93.000
% 74.11/74.36
% 74.11/74.36 Low Water (displace): id=5053, wt=91.000
% 74.11/74.36
% 74.11/74.36 Low Water (displace): id=5076, wt=84.000
% 74.11/74.36
% 74.11/74.36 Low Water (displace): id=14940, wt=19.000
% 74.11/74.36
% 74.11/74.36 Low Water (displace): id=15020, wt=18.000
% 74.11/74.36
% 74.11/74.36 Low Water (displace): id=15024, wt=17.000
% 74.11/74.36
% 74.11/74.36 Low Water (keep): wt=19.000, iters=3348
% 74.11/74.36
% 74.11/74.36 Low Water (displace): id=16705, wt=16.000
% 74.11/74.36
% 74.11/74.36 Low Water (displace): id=17700, wt=14.000
% 74.11/74.36
% 74.11/74.36 Low Water (displace): id=18385, wt=13.000
% 74.11/74.36
% 74.11/74.36 Low Water (displace): id=19052, wt=12.000
% 74.11/74.36
% 74.11/74.36 Low Water (displace): id=26451, wt=10.000
% 74.11/74.36
% 74.11/74.36 ============================== STATISTICS ============================
% 74.11/74.36
% 74.11/74.36 Given=2624. Generated=303268. Kept=25761. proofs=0.
% 74.11/74.36 Usable=2506. Sos=9998. Demods=451. Limbo=116, Disabled=15128. Hints=0.
% 74.11/74.36 Kept_by_rule=0, Deleted_by_rule=4.
% 74.11/74.36 Forward_subsumed=216530. Back_subsumed=0.
% 74.11/74.36 Sos_limit_deleted=60973. Sos_displaced=11443. Sos_removed=0.
% 74.11/74.36 New_demodulators=652 (0 lex), Back_demodulated=1696. Back_unit_deleted=1.
% 74.11/74.36 Demod_attempts=4534456. Demod_rewrites=295186.
% 74.11/74.36 Res_instance_prunes=0. Para_instance_prunes=0. Basic_paramod_prunes=0.
% 74.11/74.36 Nonunit_fsub_feature_tests=950906. Nonunit_bsub_feature_tests=4304.
% 74.11/74.36 Megabytes=419.43.
% 74.11/74.36 User_CPU=71.90, System_CPU=0.34, Wall_clock=72.
% 74.11/74.36
% 74.11/74.36 Megs malloced by palloc(): 400.
% 74.11/74.36 type (bytes each) gets frees in use bytes
% 74.11/74.36 chunk ( 104) 61731 61731 0 0.0 K
% 74.11/74.36 string_buf ( 8) 52316 52316 0 0.0 K
% 74.11/74.36 token ( 20) 144993 144993 0 0.0 K
% 74.11/74.36 pterm ( 16) 82517 82517 0 0.0 K
% 74.11/74.36 hashtab ( 8) 1326 1326 0 0.0 K
% 74.11/74.36 hashnode ( 8) 4769 4769 0 0.0 K
% 74.11/74.36 term ( 20) 10708868 10285721 423147 8264.6 K
% 74.11/74.36 term arg arrays: 2202.0 K
% 74.11/74.36 attribute ( 12) 11776 434 11342 132.9 K
% 74.11/74.36 ilist ( 8) 1205799442 1205694392 105050 820.7 K
% 74.11/74.36 plist ( 8) 453185 396686 56499 441.4 K
% 74.11/74.36 i2list ( 12) 2471677 2471677 0 0.0 K
% 74.11/74.36 just ( 12) 563509 526206 37303 437.1 K
% 74.11/74.36 parajust ( 16) 6809 4861 1948 30.4 K
% 74.11/74.36 instancejust ( 8) 0 0 0 0.0 K
% 74.11/74.36 ivyjust ( 24) 0 0 0 0.0 K
% 74.11/74.36 formula ( 28) 55877 34089 21788 595.8 K
% 74.11/74.36 formula arg arrays: 74.8 K
% 74.11/74.36 topform ( 52) 306582 277507 29075 1476.5 K
% 74.11/74.36 clist_pos ( 20) 71796 43597 28199 550.8 K
% 74.11/74.36 clist ( 16) 8 1 7 0.1 K
% 74.11/74.36 context ( 808) 2096148 2096146 2 1.6 K
% 74.11/74.36 trail ( 12) 3894481 3894479 2 0.0 K
% 74.11/74.36 ac_match_pos (70044) 0 0 0 0.0 K
% 74.11/74.36 ac_match_free_vars_pos (20020)
% 74.11/74.36 0 0 0 0.0 K
% 74.11/74.36 btm_state ( 60) 0 0 0 0.0 K
% 74.11/74.36 btu_state ( 60) 0 0 0 0.0 K
% 74.11/74.36 ac_position (285432) 0 0 0 0.0 K
% 74.11/74.36 fpa_trie ( 20) 355339 70435 284904 5564.5 K
% 74.11/74.36 fpa_state ( 28) 233107 232405 702 19.2 K
% 74.11/74.36 fpa_index ( 12) 10 0 10 0.1 K
% 74.11/74.36 fpa_chunk ( 20) 241485 160630 80855 1579.2 K
% 74.11/74.36 fpa_list ( 16) 130946 0 130946 2046.0 K
% 74.11/74.36 fpa_list chunks: 2363.7 K
% 74.11/74.36 discrim ( 12) 23321 7782 15539 182.1 K
% 74.11/74.36 discrim_pos ( 16) 299458 299458 0 0.0 K
% 74.11/74.36 flat2 ( 32) 5397016 5397016 0 0.0 K
% 74.11/74.36 flat ( 48) 0 0 0 0.0 K
% 74.11/74.36 flatterm ( 32) 7501492 7501492 0 0.0 K
% 74.11/74.36 mindex ( 28) 13 0 13 0.4 K
% 74.11/74.36 mindex_pos ( 56) 1530042 1530041 1 0.1 K
% 74.11/74.36 lindex ( 12) 5 0 5 0.1 K
% 74.11/74.36 clash ( 40) 0 0 0 0.0 K
% 74.11/74.36 di_tree ( 12) 77604915 45077184 32527731 381184.3 K
% 74.11/74.36 avl_node ( 20) 49292 29296 19996 390.5 K
% 74.11/74.36
% 74.11/74.36 Memory report, 20 @ 20 = 400 megs (400.00 megs used).
% 74.11/74.36 List 1, length 11, 0.0 K
% 74.11/74.36 List 7, length 1, 0.0 K
% 74.11/74.36 List 8, length 4130, 129.1 K
% 74.11/74.36 List 9, length 4, 0.1 K
% 74.11/74.36 List 10, length 4, 0.2 K
% 74.11/74.36 List 11, length 8, 0.3 K
% 74.11/74.36 List 12, length 6, 0.3 K
% 74.11/74.36 List 14, length 1, 0.1 K
% 74.11/74.36 List 15, length 2, 0.1 K
% 74.11/74.36 List 16, length 1296, 81.0 K
% 74.11/74.36 List 24, length 2, 0.2 K
% 74.11/74.36 List 26, length 236, 24.0 K
% 74.11/74.36 List 32, length 611, 76.4 K
% 74.11/74.36 List 36, length 2, 0.3 K
% 74.11/74.36 List 64, length 440, 110.0 K
% 74.11/74.36 List 202, length 2, 1.6 K
% 74.11/74.36
% 74.11/74.36 ============================== SELECTOR REPORT =======================
% 74.11/74.36 Sos_deleted=60973, Sos_displaced=11443, Sos_size=9998
% 74.11/74.36 SELECTOR PART PRIORITY ORDER SIZE SELECTED
% 74.11/74.36 I 2147483647 high age 0 1921
% 74.11/74.36 H 1 high weight 0 0
% 74.11/74.36 A 1 low age 9998 140
% 74.11/74.36 F 4 low weight 0 7
% 74.11/74.36 T 4 low weight 9998 556
% 74.11/74.36 ============================== end of selector report ================
% 74.11/74.36
% 74.11/74.36 ============================== end of statistics =====================
% 74.11/74.36
% 74.11/74.36 Exiting with failure.
% 74.11/74.36
% 74.11/74.36 Process 28470 exit (max_megs) Sat Jun 4 17:59:49 2022
% 74.11/74.36 Prover9 interrupted
%------------------------------------------------------------------------------