TSTP Solution File: SWW477+3 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWW477+3 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n023.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 01:17:15 EDT 2022
% Result : Unknown 22.46s 22.63s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWW477+3 : TPTP v8.1.0. Released v5.3.0.
% 0.06/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jun 5 17:45:24 EDT 2022
% 0.12/0.34 % CPUTime :
% 2.33/2.55 ============================== Prover9 ===============================
% 2.33/2.55 Prover9 (32) version 2009-11A, November 2009.
% 2.33/2.55 Process 26155 was started by sandbox on n023.cluster.edu,
% 2.33/2.55 Sun Jun 5 17:45:26 2022
% 2.33/2.55 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_26002_n023.cluster.edu".
% 2.33/2.55 ============================== end of head ===========================
% 2.33/2.55
% 2.33/2.55 ============================== INPUT =================================
% 2.33/2.55
% 2.33/2.55 % Reading from file /tmp/Prover9_26002_n023.cluster.edu
% 2.33/2.55
% 2.33/2.55 set(prolog_style_variables).
% 2.33/2.55 set(auto2).
% 2.33/2.55 % set(auto2) -> set(auto).
% 2.33/2.55 % set(auto) -> set(auto_inference).
% 2.33/2.55 % set(auto) -> set(auto_setup).
% 2.33/2.55 % set(auto_setup) -> set(predicate_elim).
% 2.33/2.55 % set(auto_setup) -> assign(eq_defs, unfold).
% 2.33/2.55 % set(auto) -> set(auto_limits).
% 2.33/2.55 % set(auto_limits) -> assign(max_weight, "100.000").
% 2.33/2.55 % set(auto_limits) -> assign(sos_limit, 20000).
% 2.33/2.55 % set(auto) -> set(auto_denials).
% 2.33/2.55 % set(auto) -> set(auto_process).
% 2.33/2.55 % set(auto2) -> assign(new_constants, 1).
% 2.33/2.55 % set(auto2) -> assign(fold_denial_max, 3).
% 2.33/2.55 % set(auto2) -> assign(max_weight, "200.000").
% 2.33/2.55 % set(auto2) -> assign(max_hours, 1).
% 2.33/2.55 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 2.33/2.55 % set(auto2) -> assign(max_seconds, 0).
% 2.33/2.55 % set(auto2) -> assign(max_minutes, 5).
% 2.33/2.55 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 2.33/2.55 % set(auto2) -> set(sort_initial_sos).
% 2.33/2.55 % set(auto2) -> assign(sos_limit, -1).
% 2.33/2.55 % set(auto2) -> assign(lrs_ticks, 3000).
% 2.33/2.55 % set(auto2) -> assign(max_megs, 400).
% 2.33/2.55 % set(auto2) -> assign(stats, some).
% 2.33/2.55 % set(auto2) -> clear(echo_input).
% 2.33/2.55 % set(auto2) -> set(quiet).
% 2.33/2.55 % set(auto2) -> clear(print_initial_clauses).
% 2.33/2.55 % set(auto2) -> clear(print_given).
% 2.33/2.55 assign(lrs_ticks,-1).
% 2.33/2.55 assign(sos_limit,10000).
% 2.33/2.55 assign(order,kbo).
% 2.33/2.55 set(lex_order_vars).
% 2.33/2.55 clear(print_given).
% 2.33/2.55
% 2.33/2.55 % formulas(sos). % not echoed (1390 formulas)
% 2.33/2.55
% 2.33/2.55 ============================== end of input ==========================
% 2.33/2.55
% 2.33/2.55 % From the command line: assign(max_seconds, 300).
% 2.33/2.55
% 2.33/2.55 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 2.33/2.55
% 2.33/2.55 % Formulas that are not ordinary clauses:
% 2.33/2.55 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].
% 2.33/2.55 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].
% 2.33/2.55 3 (all B_1_1 is_bool(preallocated(B_1_1))) # label(gsy_c_Exceptions_Opreallocated) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 4 (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].
% 2.33/2.55 5 (all B_1_1 all B_2_1 all B_3_1 is_bool(list_all2_ty_ty(B_1_1,B_2_1,B_3_1))) # label(gsy_c_List_Olist__all2_000tc__Type__Oty_000tc__Type__Oty) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 6 (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].
% 2.33/2.55 7 (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].
% 2.33/2.55 8 (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].
% 2.33/2.55 9 (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].
% 2.33/2.55 10 (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].
% 2.33/2.55 11 (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].
% 2.33/2.55 12 (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].
% 2.33/2.55 13 (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].
% 2.33/2.55 14 (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].
% 2.33/2.55 15 (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].
% 2.33/2.55 16 (all B_1_1 all B_2_1 is_bool(hAPP_l902158906r_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__List__Olist_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mt) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 17 (all B_1_1 all B_2_1 is_bool(hAPP_option_ty_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__Option__Ooption_Itc__Type__Oty_J_000tc__HOL__Obool) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 18 (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(hypothesis) # label(non_clause). [assumption].
% 2.33/2.55 19 (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].
% 2.33/2.55 20 (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].
% 2.33/2.55 21 (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_001) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 22 (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].
% 2.33/2.55 23 (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].
% 2.33/2.55 24 (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].
% 2.33/2.55 25 (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) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 26 (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) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 27 (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].
% 2.33/2.55 28 (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__002) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 29 (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].
% 2.33/2.55 30 (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].
% 2.33/2.55 31 (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].
% 2.33/2.55 32 (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].
% 2.33/2.55 33 (all B_1_1 all B_2_1 is_bool(hAPP_P1680401186r_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_Itc__List_003) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 34 (all B_1_1 all B_2_1 is_bool(hAPP_P1384137393r_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_Itc__List_004) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 35 (all B_1_1 all B_2_1 is_bool(hAPP_P659547099r_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_Itc__List_005) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 36 (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].
% 2.33/2.55 37 (all B_1_1 all B_2_1 is_bool(hAPP_P1187139874r_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc__Type__Ot) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 38 (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].
% 2.33/2.55 39 (all B_1_1 all B_2_1 is_bool(hAPP_P828904212r_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc__String__) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 40 (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].
% 2.33/2.55 41 (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].
% 2.33/2.55 42 (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].
% 2.33/2.55 43 (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].
% 2.33/2.55 44 (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].
% 2.33/2.55 45 (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].
% 2.33/2.55 46 (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___006) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 47 (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].
% 2.33/2.55 48 (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_007) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 49 (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_008) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 50 (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].
% 2.33/2.55 51 (all B_1_1 all B_2_1 is_bool(hAPP_P975284999r_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 52 (all B_1_1 all B_2_1 is_bool(hAPP_P929449287r_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_009) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 53 (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].
% 2.33/2.55 54 (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].
% 2.33/2.55 55 (all B_1_1 all B_2_1 is_bool(hAPP_P801803911r_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 56 (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].
% 2.33/2.55 57 (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].
% 2.33/2.55 58 (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].
% 2.33/2.55 59 (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].
% 2.33/2.55 60 (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].
% 2.33/2.55 61 (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].
% 2.33/2.55 62 (all B_1_1 all B_2_1 is_bool(member1417904245al_val(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Value__Oval_Mtc__Value__) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 63 (all B_1_1 all B_2_1 is_bool(member840932460on_val(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].
% 2.33/2.55 64 (all B_1_1 all B_2_1 is_bool(member1972431429on_val(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].
% 2.33/2.55 65 (all B_1_1 all B_2_1 is_bool(member1840112042t_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].
% 2.33/2.55 66 (all B_1_1 all B_2_1 is_bool(member133545693t_char(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__Ochar_J__010) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 67 (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].
% 2.33/2.55 68 (all B_1_1 all B_2_1 is_bool(member503779467har_ty(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Type__Oty_J) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 69 (all B_1_1 all B_2_1 is_bool(member1542417277on_val(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_Itc__pro) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 70 (all B_1_1 all B_2_1 is_bool(member2007117138har_ty(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_Itc__Li) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 71 (all B_1_1 all B_2_1 is_bool(member1467889965t_char(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_Itc__Li_011) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 72 (all B_1_1 all B_2_1 is_bool(member1601084734t_char(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_Itc__Li_012) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 73 (all B_1_1 all B_2_1 is_bool(member1771544038t_char(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_Itc__Li_013) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 74 (all B_1_1 all B_2_1 is_bool(member140606439t_char(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc__List__) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 75 (all B_1_1 all B_2_1 is_bool(member699351154t_char(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Expr__Oexp_Itc) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 76 (all B_1_1 all B_2_1 is_bool(member1379348767t_char(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc__String) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 77 (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].
% 2.33/2.55 78 (all B_1_1 all B_2_1 is_bool(member763590124on_val(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 79 (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].
% 2.33/2.55 80 (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].
% 2.33/2.55 81 (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].
% 2.33/2.55 82 (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].
% 2.33/2.55 83 (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_014) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 84 (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].
% 2.33/2.55 85 (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_015) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 86 (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_016) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 87 (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].
% 2.33/2.55 88 (all B_1_1 all B_2_1 is_bool(member162552852t_char(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__pr) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 89 (all B_1_1 all B_2_1 is_bool(member1607118676t_char(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__pr_017) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 90 (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].
% 2.33/2.55 91 (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].
% 2.33/2.55 92 (all B_1_1 all B_2_1 is_bool(member1551446420t_char(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_I) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 93 (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].
% 2.33/2.55 94 (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].
% 2.33/2.55 95 (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].
% 2.33/2.55 96 (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].
% 2.33/2.55 97 (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].
% 2.33/2.55 98 (all Ta (hBOOL(hAPP_ty_bool(wTrt(p,ha,e,ea),Ta)) -> (exists U_2 (hBOOL(hAPP_ty_bool(wTrt(p,h_a,e,e_a),U_2)) & hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(p),U_2),Ta)))))) # label(fact_1__096_B_BT_O_AP_ME_Mh_A_092_060turnstile_062_Ae_A_058_AT_A_061_061_062_AEX) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 99 (all Ta all Ea (hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(p,Ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),la))) -> (hBOOL(hAPP_ty_bool(wTrt(p,ha,Ea,ea),Ta)) -> (exists U_2 (hBOOL(hAPP_ty_bool(wTrt(p,h_a,Ea,e_a),U_2)) & hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(p),U_2),Ta))))))) # label(fact_3_IH) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 100 (all Fa all Da all Ta all Pa all Hb all Ea all Eb (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),nt)) -> hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,fAcc_list_char(Eb,Fa,Da)),Ta)))) # label(fact_6_WTrtFAccNT) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 101 (all Ta all Ea (hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(p,Ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),la))) -> (hBOOL(hAPP_ty_bool(wTrt(p,ha,Ea,ea),Ta)) -> (exists T_5 (hBOOL(hAPP_ty_bool(wTrt(p,h_a,Ea,e_a),T_5)) & hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(p),T_5),Ta))))))) # label(fact_7_FAssRed1_I2_J) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 102 (all F1 all F2 all F3 all F4 all F5 (hBOOL(hAPP_ty_bool(ty_case_bool(F1,F2,F3,F4,F5),nt)) <-> hBOOL(F4))) # label(fact_9_ty_Osimps_I25_J) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 103 (all F1 all F2 all F3 all F4 all F5 (hBOOL(hAPP_ty_bool(ty_case_bool(F1,F2,F3,F4,F5),boolean)) <-> hBOOL(F2))) # label(fact_13_ty_Osimps_I23_J) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 104 (all Fa all Da all Eb all S all E_b all S_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),red(Pa))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(Eb,Fa,Da)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(E_b,Fa,Da)),S_2)),red(Pa))))) # label(fact_15_red__reds_OFAccRed) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 105 (all Fa all Da all E_2 all Eb all S all E_b all S_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),red(Pa))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(Eb,Fa,Da,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(E_b,Fa,Da,E_2)),S_2)),red(Pa))))) # label(fact_16_red__reds_OFAssRed1) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 106 (all P_4 all T_10 hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(P_4),T_10),T_10))) # label(fact_18_widen__refl) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 107 (all Ea all Ta all Eb all Hb all Lb all E_b all H_b all L_b all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))),red(Pa))) -> (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),Ta)) -> (hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),Hb)) -> hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),H_b)))))) # label(fact_19_red__preserves__hconf) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 108 (all Ea all Ta all Eb all Hb all Lb all E_b all H_b all L_b all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))),red(Pa))) -> (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),Ta)) -> (hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),Hb),Lb),Ea)) -> hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),H_b),L_b),Ea)))))) # label(fact_20_red__preserves__lconf) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 109 (all Exp_55 all List1_37 all List2_37 all Exp1_109 all List1_36 all List2_36 all Exp2_109 fAcc_list_char(Exp_55,List1_37,List2_37) != fAss_list_char(Exp1_109,List1_36,List2_36,Exp2_109)) # label(fact_21_exp_Osimps_I154_J) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 110 (all Exp1_108 all List1_35 all List2_35 all Exp2_108 all Exp_54 all List1_34 all List2_34 fAss_list_char(Exp1_108,List1_35,List2_35,Exp2_108) != fAcc_list_char(Exp_54,List1_34,List2_34)) # label(fact_22_exp_Osimps_I155_J) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 111 (all Ea all Ta all Eb all S all E_b all S_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),red(Pa))) -> (hBOOL(hAPP_ty_bool(wTrt(Pa,hAPP_P703866694on_val(hp,S),Ea,Eb),Ta)) -> (hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(Pa,Ea),S)) -> hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(Pa,Ea),S_2)))))) # label(fact_23_red__preserves__sconf) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 112 (all X_2 all Pa ((all A_1 all B_1 all C_4 all D all E_3 hBOOL(hAPP_P2028072621l_bool(Pa,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_1),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),E_3))))))) -> hBOOL(hAPP_P2028072621l_bool(Pa,X_2)))) # label(fact_24_prod__induct5) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 113 (all X_2 all Pa ((all A_1 all B_1 all C_4 all D all E_3 hBOOL(hAPP_P378063101l_bool(Pa,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_1),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),E_3))))))) -> hBOOL(hAPP_P378063101l_bool(Pa,X_2)))) # label(fact_25_prod__induct5) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 114 (all X_2 all Pa ((all A_1 all B_1 all C_4 all D all E_3 hBOOL(hAPP_P824029447r_bool(Pa,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_1),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),E_3))))))) -> hBOOL(hAPP_P824029447r_bool(Pa,X_2)))) # label(fact_26_prod__induct5) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 115 (all X_2 all Pa ((all A_1 all B_1 all C_4 all D all E_3 hBOOL(hAPP_P975284999r_bool(Pa,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_1),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,B_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,C_4),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,D),E_3))))))) -> hBOOL(hAPP_P975284999r_bool(Pa,X_2)))) # label(fact_27_prod__induct5) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 116 (all X_2 all Pa ((all A_1 all B_1 all C_4 all D all E_3 hBOOL(hAPP_P1384137393r_bool(Pa,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_1),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,B_1),hAPP_P1661798543t_char(hAPP_t1369077401t_char(produc1545444669t_char,C_4),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,D),E_3))))))) -> hBOOL(hAPP_P1384137393r_bool(Pa,X_2)))) # label(fact_28_prod__induct5) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 117 (all F1 all F2 all F3 all F4 all F5 (hBOOL(hAPP_ty_bool(ty_case_bool(F1,F2,F3,F4,F5),void)) <-> hBOOL(F1))) # label(fact_33_ty_Osimps_I22_J) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 118 (all A_24 all B_4 all A_23 all B_3 (hAPP_P295788316har_ty(hAPP_l848957697har_ty(produc1002914035har_ty,A_24),B_4) = hAPP_P295788316har_ty(hAPP_l848957697har_ty(produc1002914035har_ty,A_23),B_3) -> -(A_24 = A_23 -> B_4 != B_3))) # label(fact_34_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 119 (all A_24 all B_4 all A_23 all B_3 (hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,A_24),B_4) = hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,A_23),B_3) -> -(A_24 = A_23 -> B_4 != B_3))) # label(fact_35_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 120 (all A_24 all B_4 all A_23 all B_3 (hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,A_24),B_4) = hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,A_23),B_3) -> -(A_24 = A_23 -> B_4 != B_3))) # label(fact_36_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 121 (all A_24 all B_4 all A_23 all B_3 (hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A_24),B_4) = hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A_23),B_3) -> -(A_24 = A_23 -> B_4 != B_3))) # label(fact_37_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 122 (all A_24 all B_4 all A_23 all B_3 (hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,A_24),B_4) = hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,A_23),B_3) -> -(A_24 = A_23 -> B_4 != B_3))) # label(fact_38_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 123 (all A_24 all B_4 all A_23 all B_3 (hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A_24),B_4) = hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A_23),B_3) -> -(A_24 = A_23 -> B_4 != B_3))) # label(fact_39_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 124 (all A_24 all B_4 all A_23 all B_3 (hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_24),B_4) = hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_23),B_3) -> -(A_24 = A_23 -> B_4 != B_3))) # label(fact_40_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 125 (all A_24 all B_4 all A_23 all B_3 (hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_24),B_4) = hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_23),B_3) -> -(A_24 = A_23 -> B_4 != B_3))) # label(fact_41_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 126 (all A all B all A_15 all B_2 (hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A),B) = hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A_15),B_2) -> -(A = A_15 -> B != B_2))) # label(fact_42_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 127 (all A_24 all B_4 all A_23 all B_3 (hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A_24),B_4) = hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A_23),B_3) -> -(A_24 = A_23 -> B_4 != B_3))) # label(fact_43_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 128 (all A_24 all B_4 all A_23 all B_3 (hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_24),B_4) = hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_23),B_3) -> -(A_24 = A_23 -> B_4 != B_3))) # label(fact_44_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 129 (all A_24 all B_4 all A_23 all B_3 (hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_24),B_4) = hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_23),B_3) -> -(A_24 = A_23 -> B_4 != B_3))) # label(fact_45_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 130 (all A_24 all B_4 all A_23 all B_3 (hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_24),B_4) = hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_23),B_3) -> -(A_24 = A_23 -> B_4 != B_3))) # label(fact_46_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 131 (all A_24 all B_4 all A_23 all B_3 (hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_24),B_4) = hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_23),B_3) -> -(A_24 = A_23 -> B_4 != B_3))) # label(fact_47_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 132 (all A all B all A_15 all B_2 (hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A),B) = hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_15),B_2) -> -(A = A_15 -> B != B_2))) # label(fact_48_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 133 (all A all B all A_15 all B_2 (hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A),B) = hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_15),B_2) -> -(A = A_15 -> B != B_2))) # label(fact_49_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 134 (all A all B all A_15 all B_2 (hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A),B) = hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A_15),B_2) -> -(A = A_15 -> B != B_2))) # label(fact_50_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 135 (all A_24 all B_4 all A_23 all B_3 (hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A_24),B_4) = hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A_23),B_3) -> -(A_24 = A_23 -> B_4 != B_3))) # label(fact_51_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 136 (all A_24 all B_4 all A_23 all B_3 (hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_24),B_4) = hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_23),B_3) -> -(A_24 = A_23 -> B_4 != B_3))) # label(fact_52_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 137 (all A all B all A_15 all B_2 (hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B) = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_15),B_2) -> -(A = A_15 -> B != B_2))) # label(fact_53_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 138 (all A all B all A_15 all B_2 (hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B) = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_15),B_2) -> -(A = A_15 -> B != B_2))) # label(fact_54_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 139 (all A all B all A_15 all B_2 (hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A),B) = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_15),B_2) -> -(A = A_15 -> B != B_2))) # label(fact_55_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 140 (all A all B all A_15 all B_2 (hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B) = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_15),B_2) -> -(A = A_15 -> B != B_2))) # label(fact_56_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 141 (all A all B all A_15 all B_2 (hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A),B) = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_15),B_2) -> -(A = A_15 -> B != B_2))) # label(fact_57_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 142 (all A_24 all B_4 all A_23 all B_3 (hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_24),B_4) = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_23),B_3) -> -(A_24 = A_23 -> B_4 != B_3))) # label(fact_58_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 143 (all A_24 all B_4 all A_23 all B_3 (hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_24),B_4) = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_23),B_3) -> -(A_24 = A_23 -> B_4 != B_3))) # label(fact_59_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 144 (all A_24 all B_4 all A_23 all B_3 (hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_24),B_4) = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_23),B_3) -> -(A_24 = A_23 -> B_4 != B_3))) # label(fact_60_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 145 (all A_24 all B_4 all A_23 all B_3 (is_bop(A_24) & is_bop(A_23) -> (hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_24),B_4) = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_23),B_3) -> -(A_24 = A_23 -> B_4 != B_3)))) # label(fact_61_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 146 (all A_24 all B_4 all A_23 all B_3 (hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_24),B_4) = hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_23),B_3) -> -(A_24 = A_23 -> B_4 != B_3))) # label(fact_62_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 147 (all A all B all A_15 all B_2 (hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B) = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_15),B_2) -> -(A = A_15 -> B != B_2))) # label(fact_63_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 148 (all A_24 all B_4 all A_23 all B_3 (hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_24),B_4) = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_23),B_3) -> -(A_24 = A_23 -> B_4 != B_3))) # label(fact_64_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 149 (all A_24 all B_4 all A_23 all B_3 (hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_24),B_4) = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_23),B_3) -> -(A_24 = A_23 -> B_4 != B_3))) # label(fact_65_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 150 (all A_24 all B_4 all A_23 all B_3 (hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_24),B_4) = hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_23),B_3) -> -(A_24 = A_23 -> B_4 != B_3))) # label(fact_66_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 151 (all A_24 all B_4 all A_23 all B_3 (hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_24),B_4) = hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_23),B_3) -> -(A_24 = A_23 -> B_4 != B_3))) # label(fact_67_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 152 (all A_24 all B_4 all A_23 all B_3 (hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_24),B_4) = hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_23),B_3) -> -(A_24 = A_23 -> B_4 != B_3))) # label(fact_68_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 153 (all A_24 all B_4 all A_23 all B_3 (hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A_24),B_4) = hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A_23),B_3) -> -(A_24 = A_23 -> B_4 != B_3))) # label(fact_69_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 154 (all A all B all A_15 all B_2 (hAPP_P295788316har_ty(hAPP_l848957697har_ty(produc1002914035har_ty,A),B) = hAPP_P295788316har_ty(hAPP_l848957697har_ty(produc1002914035har_ty,A_15),B_2) <-> A = A_15 & B = B_2)) # label(fact_70_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 155 (all A all B all A_15 all B_2 (hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,A),B) = hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,A_15),B_2) <-> A = A_15 & B = B_2)) # label(fact_71_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 156 (all A all B all A_15 all B_2 (hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,A),B) = hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,A_15),B_2) <-> A = A_15 & B = B_2)) # label(fact_72_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 157 (all A all B all A_15 all B_2 (hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A),B) = hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A_15),B_2) <-> A = A_15 & B = B_2)) # label(fact_73_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 158 (all A all B all A_15 all B_2 (hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,A),B) = hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,A_15),B_2) <-> A = A_15 & B = B_2)) # label(fact_74_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 159 (all A all B all A_15 all B_2 (hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A),B) = hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A_15),B_2) <-> A = A_15 & B = B_2)) # label(fact_75_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 160 (all A all B all A_15 all B_2 (hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A),B) = hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_15),B_2) <-> A = A_15 & B = B_2)) # label(fact_76_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 161 (all A all B all A_15 all B_2 (hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A),B) = hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_15),B_2) <-> A = A_15 & B = B_2)) # label(fact_77_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 162 (all A all B all A_15 all B_2 (hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A),B) = hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A_15),B_2) <-> A = A_15 & B = B_2)) # label(fact_78_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 163 (all A all B all A_15 all B_2 (hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A),B) = hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A_15),B_2) <-> A = A_15 & B = B_2)) # label(fact_79_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 164 (all A all B all A_15 all B_2 (hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A),B) = hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_15),B_2) <-> A = A_15 & B = B_2)) # label(fact_80_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 165 (all A all B all A_15 all B_2 (hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A),B) = hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_15),B_2) <-> A = A_15 & B = B_2)) # label(fact_81_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 166 (all A all B all A_15 all B_2 (hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A),B) = hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_15),B_2) <-> A = A_15 & B = B_2)) # label(fact_82_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 167 (all A all B all A_15 all B_2 (hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A),B) = hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_15),B_2) <-> A = A_15 & B = B_2)) # label(fact_83_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 168 (all A all B all A_15 all B_2 (hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A),B) = hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_15),B_2) <-> A = A_15 & B = B_2)) # label(fact_84_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 169 (all A all B all A_15 all B_2 (hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A),B) = hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_15),B_2) <-> A = A_15 & B = B_2)) # label(fact_85_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 170 (all A all B all A_15 all B_2 (hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A),B) = hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A_15),B_2) <-> A = A_15 & B = B_2)) # label(fact_86_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 171 (all A all B all A_15 all B_2 (hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A),B) = hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A_15),B_2) <-> A = A_15 & B = B_2)) # label(fact_87_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 172 (all A all B all A_15 all B_2 (hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A),B) = hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_15),B_2) <-> A = A_15 & B = B_2)) # label(fact_88_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 173 (all A all B all A_15 all B_2 (hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B) = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_15),B_2) <-> A = A_15 & B = B_2)) # label(fact_89_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 174 (all A all B all A_15 all B_2 (hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B) = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_15),B_2) <-> A = A_15 & B = B_2)) # label(fact_90_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 175 (all A all B all A_15 all B_2 (hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A),B) = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_15),B_2) <-> A = A_15 & B = B_2)) # label(fact_91_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 176 (all A all B all A_15 all B_2 (hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B) = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_15),B_2) <-> A = A_15 & B = B_2)) # label(fact_92_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 177 (all A all B all A_15 all B_2 (hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A),B) = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_15),B_2) <-> A = A_15 & B = B_2)) # label(fact_93_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 178 (all A all B all A_15 all B_2 (hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A),B) = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_15),B_2) <-> A = A_15 & B = B_2)) # label(fact_94_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 179 (all A all B all A_15 all B_2 (hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A),B) = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_15),B_2) <-> A = A_15 & B = B_2)) # label(fact_95_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 180 (all A all B all A_15 all B_2 (hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A),B) = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_15),B_2) <-> A = A_15 & B = B_2)) # label(fact_96_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 181 (all A all B all A_15 all B_2 (is_bop(A) & is_bop(A_15) -> (hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A),B) = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_15),B_2) <-> A = A_15 & B = B_2))) # label(fact_97_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 182 (all A all B all A_15 all B_2 (hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B) = hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_15),B_2) <-> A = A_15 & B = B_2)) # label(fact_98_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 183 (all A all B all A_15 all B_2 (hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B) = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_15),B_2) <-> A = A_15 & B = B_2)) # label(fact_99_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 184 (all A all B all A_15 all B_2 (hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B) = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_15),B_2) <-> A = A_15 & B = B_2)) # label(fact_100_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 185 (all A all B all A_15 all B_2 (hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A),B) = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_15),B_2) <-> A = A_15 & B = B_2)) # label(fact_101_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 186 (all A all B all A_15 all B_2 (hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A),B) = hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_15),B_2) <-> A = A_15 & B = B_2)) # label(fact_102_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 187 (all A all B all A_15 all B_2 (hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A),B) = hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_15),B_2) <-> A = A_15 & B = B_2)) # label(fact_103_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 188 (all A all B all A_15 all B_2 (hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A),B) = hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_15),B_2) <-> A = A_15 & B = B_2)) # label(fact_104_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 189 (all A all B all A_15 all B_2 (hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A),B) = hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A_15),B_2) <-> A = A_15 & B = B_2)) # label(fact_105_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 190 (all Pa ((all X1 hBOOL(hAPP_P831231943y_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P831231943y_bool(Pa,hAPP_P295788316har_ty(hAPP_l848957697har_ty(produc1002914035har_ty,A_1),B_1)))))) # label(fact_106_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 191 (all Pa ((all X1 hBOOL(hAPP_P748443392y_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P748443392y_bool(Pa,hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,A_1),B_1)))))) # label(fact_107_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 192 (all Pa ((all X1 hBOOL(hAPP_P439015943l_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P439015943l_bool(Pa,hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,A_1),B_1)))))) # label(fact_108_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 193 (all Pa ((all X1 hBOOL(hAPP_P1002912327r_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P1002912327r_bool(Pa,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A_1),B_1)))))) # label(fact_109_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 194 (all Pa ((all X1 hBOOL(hAPP_P801803911r_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P801803911r_bool(Pa,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,A_1),B_1)))))) # label(fact_110_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 195 (all Pa ((all X1 hBOOL(hAPP_P929449287r_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P929449287r_bool(Pa,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A_1),B_1)))))) # label(fact_111_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 196 (all Pa ((all X1 hBOOL(hAPP_P975284999r_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P975284999r_bool(Pa,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_1),B_1)))))) # label(fact_112_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 197 (all Pa ((all X1 hBOOL(hAPP_P2010574925r_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P2010574925r_bool(Pa,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_1),B_1)))))) # label(fact_113_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 198 (all Pa ((all X1 hBOOL(hAPP_P124632071l_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P124632071l_bool(Pa,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A_1),B_1)))))) # label(fact_114_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 199 (all Pa ((all X1 hBOOL(hAPP_P2123002749l_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P2123002749l_bool(Pa,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A_1),B_1)))))) # label(fact_115_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 200 (all Pa ((all X1 hBOOL(hAPP_P738987199l_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P738987199l_bool(Pa,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_1),B_1)))))) # label(fact_116_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 201 (all Pa ((all X1 hBOOL(hAPP_P1183499705r_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P1183499705r_bool(Pa,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_1),B_1)))))) # label(fact_117_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 202 (all Pa ((all X1 hBOOL(hAPP_P1240100515r_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P1240100515r_bool(Pa,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_1),B_1)))))) # label(fact_118_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 203 (all Pa ((all X1 hBOOL(hAPP_P824029447r_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P824029447r_bool(Pa,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_1),B_1)))))) # label(fact_119_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 204 (all Pa ((all X1 hBOOL(hAPP_P2028072621l_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P2028072621l_bool(Pa,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_1),B_1)))))) # label(fact_120_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 205 (all Pa ((all X1 hBOOL(hAPP_P378063101l_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P378063101l_bool(Pa,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_1),B_1)))))) # label(fact_121_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 206 (all Pa ((all X1 hBOOL(hAPP_P1221872711l_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P1221872711l_bool(Pa,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A_1),B_1)))))) # label(fact_122_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 207 (all Pa ((all X1 hBOOL(hAPP_P27757617y_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P27757617y_bool(Pa,hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A_1),B_1)))))) # label(fact_123_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 208 (all Pa ((all X1 hBOOL(hAPP_P1384137393r_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P1384137393r_bool(Pa,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_1),B_1)))))) # label(fact_124_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 209 (all Pa ((all X1 hBOOL(hAPP_P159683425l_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P159683425l_bool(Pa,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_1),B_1)))))) # label(fact_125_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 210 (all Pa ((all X1 hBOOL(hAPP_P282169671l_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P282169671l_bool(Pa,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B_1)))))) # label(fact_126_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 211 (all Pa ((all X1 hBOOL(hAPP_P1708370145l_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P1708370145l_bool(Pa,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),B_1)))))) # label(fact_127_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 212 (all Pa ((all X1 hBOOL(hAPP_P1333315679l_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P1333315679l_bool(Pa,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B_1)))))) # label(fact_128_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 213 (all Pa ((all X1 hBOOL(hAPP_P71593144l_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P71593144l_bool(Pa,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),B_1)))))) # label(fact_129_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 214 (all Pa ((all X1 hBOOL(hAPP_P92196306r_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P92196306r_bool(Pa,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),B_1)))))) # label(fact_130_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 215 (all Pa ((all X1 hBOOL(hAPP_P1907982426r_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P1907982426r_bool(Pa,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),B_1)))))) # label(fact_131_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 216 (all Pa ((all X1 hBOOL(hAPP_P2118621157r_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P2118621157r_bool(Pa,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_1),B_1)))))) # label(fact_132_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 217 (all Pa ((all X1 hBOOL(hAPP_P943837928l_bool(Pa,X1))) <-> (all A_1 all B_1 (is_bop(A_1) -> hBOOL(hAPP_P943837928l_bool(Pa,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),B_1))))))) # label(fact_133_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 218 (all Pa ((all X1 hBOOL(hAPP_P929938951l_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P929938951l_bool(Pa,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B_1)))))) # label(fact_134_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 219 (all Pa ((all X1 hBOOL(hAPP_P1235399154l_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P1235399154l_bool(Pa,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_1),B_1)))))) # label(fact_135_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 220 (all Pa ((all X1 hBOOL(hAPP_P449474095r_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P449474095r_bool(Pa,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B_1)))))) # label(fact_136_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.55 221 (all Pa ((all X1 hBOOL(hAPP_P1680401186r_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P1680401186r_bool(Pa,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),B_1)))))) # label(fact_137_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 222 (all Pa ((all X1 hBOOL(hAPP_P659547099r_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P659547099r_bool(Pa,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),B_1)))))) # label(fact_138_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 223 (all Pa ((all X1 hBOOL(hAPP_P828904212r_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P828904212r_bool(Pa,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_1),B_1)))))) # label(fact_139_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 224 (all Pa ((all X1 hBOOL(hAPP_P2014166431r_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P2014166431r_bool(Pa,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_1),B_1)))))) # label(fact_140_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 225 (all Pa ((all X1 hBOOL(hAPP_P1070896250l_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P1070896250l_bool(Pa,hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A_1),B_1)))))) # label(fact_141_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 226 (all T_9 all P_3 all S_5 all U_1 (hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(P_3),S_5),U_1)) -> (hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(P_3),U_1),T_9)) -> hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(P_3),S_5),T_9))))) # label(fact_142_widen__trans) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 227 (all Exp1_61 all List1_33 all List2_33 all Exp2_61 all Exp1_60 all List1_32 all List2_32 all Exp2_60 (fAss_list_char(Exp1_61,List1_33,List2_33,Exp2_61) = fAss_list_char(Exp1_60,List1_32,List2_32,Exp2_60) <-> Exp1_61 = Exp1_60 & List1_33 = List1_32 & List2_33 = List2_32 & Exp2_61 = Exp2_60)) # label(fact_143_exp_Osimps_I8_J) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 228 (all Exp_29 all List1_33 all List2_33 all Exp_28 all List1_32 all List2_32 (fAcc_list_char(Exp_29,List1_33,List2_33) = fAcc_list_char(Exp_28,List1_32,List2_32) <-> Exp_29 = Exp_28 & List1_33 = List1_32 & List2_33 = List2_32)) # label(fact_144_exp_Osimps_I7_J) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 229 (all Fa all Da all E_2 all T_2 all Pa all Hb all Ea all E_1 (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,E_1),nt)) -> (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,E_2),T_2)) -> hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,fAss_list_char(E_1,Fa,Da,E_2)),void))))) # label(fact_145_WTrtFAssNT) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 230 (all Y_3 -(all A_1 all B_1 all C_4 all D all E_3 Y_3 != hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_1),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),E_3)))))) # label(fact_146_prod__cases5) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 231 (all Y_3 -(all A_1 all B_1 all C_4 all D all E_3 Y_3 != hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_1),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),E_3)))))) # label(fact_147_prod__cases5) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 232 (all Y_6 -(all A_1 all B_1 all C_4 all D all E_3 Y_6 != hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_1),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),E_3)))))) # label(fact_148_prod__cases5) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 233 (all Y_6 -(all A_1 all B_1 all C_4 all D all E_3 Y_6 != hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_1),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,B_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,C_4),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,D),E_3)))))) # label(fact_149_prod__cases5) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 234 (all Y_6 -(all A_1 all B_1 all C_4 all D all E_3 Y_6 != hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_1),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,B_1),hAPP_P1661798543t_char(hAPP_t1369077401t_char(produc1545444669t_char,C_4),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,D),E_3)))))) # label(fact_150_prod__cases5) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 235 (all Y_5 -(all A_1 all B_1 all C_4 all D Y_5 != hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_1),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,B_1),hAPP_P1661798543t_char(hAPP_t1369077401t_char(produc1545444669t_char,C_4),D))))) # label(fact_151_prod__cases4) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 236 (all Y_3 -(all A_1 all B_1 all C_4 all D Y_3 != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,C_4),D))))) # label(fact_152_prod__cases4) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 237 (all Y_3 -(all A_1 all B_1 all C_4 all D Y_3 != hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,B_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,C_4),D))))) # label(fact_153_prod__cases4) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 238 (all Y_5 -(all A_1 all B_1 all C_4 all D Y_5 != hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,C_4),D))))) # label(fact_154_prod__cases4) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 239 (all Y_5 -(all A_1 all B_1 all C_4 all D Y_5 != hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,B_1),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,C_4),D))))) # label(fact_155_prod__cases4) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 240 (all Y_3 -(all A_1 all B_1 all C_4 all D Y_3 != hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_1),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B_1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,C_4),D))))) # label(fact_156_prod__cases4) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 241 (all Y_3 -(all A_1 all B_1 all C_4 all D Y_3 != hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_1),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B_1),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,C_4),D))))) # label(fact_157_prod__cases4) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 242 (all Y_5 -(all A_1 all B_1 all C_4 all D Y_5 != hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_1),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,B_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,C_4),D))))) # label(fact_158_prod__cases4) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 243 (all Y_5 -(all A_1 all B_1 all C_4 all D Y_5 != hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,C_4),D))))) # label(fact_159_prod__cases4) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 244 (all Y_5 -(all A_1 all B_1 all C_4 all D (is_bop(B_1) -> Y_5 != hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_1),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,B_1),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,C_4),D)))))) # label(fact_160_prod__cases4) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 245 (all Y_5 -(all A_1 all B_1 all C_4 all D Y_5 != hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_1),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,B_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,C_4),D))))) # label(fact_161_prod__cases4) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 246 (all Y_5 -(all A_1 all B_1 all C_4 all D Y_5 != hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,B_1),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,C_4),D))))) # label(fact_162_prod__cases4) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 247 (all X_2 all Pa ((all A_1 all B_1 all C_4 all D hBOOL(hAPP_P1384137393r_bool(Pa,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_1),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,B_1),hAPP_P1661798543t_char(hAPP_t1369077401t_char(produc1545444669t_char,C_4),D)))))) -> hBOOL(hAPP_P1384137393r_bool(Pa,X_2)))) # label(fact_163_prod__induct4) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 248 (all X_2 all Pa ((all A_1 all B_1 all C_4 all D hBOOL(hAPP_P282169671l_bool(Pa,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,C_4),D)))))) -> hBOOL(hAPP_P282169671l_bool(Pa,X_2)))) # label(fact_164_prod__induct4) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 249 (all X_2 all Pa ((all A_1 all B_1 all C_4 all D hBOOL(hAPP_P1333315679l_bool(Pa,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,B_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,C_4),D)))))) -> hBOOL(hAPP_P1333315679l_bool(Pa,X_2)))) # label(fact_165_prod__induct4) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 250 (all X_2 all Pa ((all A_1 all B_1 all C_4 all D hBOOL(hAPP_P92196306r_bool(Pa,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,C_4),D)))))) -> hBOOL(hAPP_P92196306r_bool(Pa,X_2)))) # label(fact_166_prod__induct4) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 251 (all X_2 all Pa ((all A_1 all B_1 all C_4 all D hBOOL(hAPP_P1680401186r_bool(Pa,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,B_1),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,C_4),D)))))) -> hBOOL(hAPP_P1680401186r_bool(Pa,X_2)))) # label(fact_167_prod__induct4) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 252 (all X_2 all Pa ((all A_1 all B_1 all C_4 all D hBOOL(hAPP_P378063101l_bool(Pa,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_1),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B_1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,C_4),D)))))) -> hBOOL(hAPP_P378063101l_bool(Pa,X_2)))) # label(fact_168_prod__induct4) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 253 (all X_2 all Pa ((all A_1 all B_1 all C_4 all D hBOOL(hAPP_P2028072621l_bool(Pa,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_1),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B_1),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,C_4),D)))))) -> hBOOL(hAPP_P2028072621l_bool(Pa,X_2)))) # label(fact_169_prod__induct4) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 254 (all X_2 all Pa ((all A_1 all B_1 all C_4 all D hBOOL(hAPP_P824029447r_bool(Pa,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_1),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,B_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,C_4),D)))))) -> hBOOL(hAPP_P824029447r_bool(Pa,X_2)))) # label(fact_170_prod__induct4) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 255 (all X_2 all Pa ((all A_1 all B_1 all C_4 all D hBOOL(hAPP_P1240100515r_bool(Pa,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,C_4),D)))))) -> hBOOL(hAPP_P1240100515r_bool(Pa,X_2)))) # label(fact_171_prod__induct4) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 256 (all X_2 all Pa ((all A_1 all B_1 all C_4 all D (is_bop(B_1) -> hBOOL(hAPP_P738987199l_bool(Pa,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_1),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,B_1),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,C_4),D))))))) -> hBOOL(hAPP_P738987199l_bool(Pa,X_2)))) # label(fact_172_prod__induct4) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 257 (all X_2 all Pa ((all A_1 all B_1 all C_4 all D hBOOL(hAPP_P975284999r_bool(Pa,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_1),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,B_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,C_4),D)))))) -> hBOOL(hAPP_P975284999r_bool(Pa,X_2)))) # label(fact_173_prod__induct4) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 258 (all X_2 all Pa ((all A_1 all B_1 all C_4 all D hBOOL(hAPP_P929449287r_bool(Pa,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,B_1),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,C_4),D)))))) -> hBOOL(hAPP_P929449287r_bool(Pa,X_2)))) # label(fact_174_prod__induct4) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 259 (all Y_4 -(all A_1 all B_1 all C_4 Y_4 != hAPP_P295788316har_ty(hAPP_l848957697har_ty(produc1002914035har_ty,A_1),hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,B_1),C_4)))) # label(fact_175_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 260 (all Y_4 -(all A_1 all B_1 all C_4 Y_4 != hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_1),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,B_1),C_4)))) # label(fact_176_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 261 (all Y_3 -(all A_1 all B_1 all C_4 Y_3 != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B_1),C_4)))) # label(fact_177_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 262 (all Y_3 -(all A_1 all B_1 all C_4 Y_3 != hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B_1),C_4)))) # label(fact_178_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 263 (all Y_3 -(all A_1 all B_1 all C_4 Y_3 != hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,B_1),C_4)))) # label(fact_179_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 264 (all Y_3 -(all A_1 all B_1 all C_4 Y_3 != hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B_1),C_4)))) # label(fact_180_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 265 (all Y_4 -(all A_1 all B_1 all C_4 Y_4 != hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_1),C_4)))) # label(fact_181_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 266 (all Y_4 -(all A_1 all B_1 all C_4 Y_4 != hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,B_1),C_4)))) # label(fact_182_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 267 (all Y_4 -(all A_1 all B_1 all C_4 (is_bop(A_1) -> Y_4 != hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B_1),C_4))))) # label(fact_183_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 268 (all Y_4 -(all A_1 all B_1 all C_4 Y_4 != hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,B_1),C_4)))) # label(fact_184_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 269 (all Y_4 -(all A_1 all B_1 all C_4 Y_4 != hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,B_1),C_4)))) # label(fact_185_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 270 (all Y_3 -(all A_1 all B_1 all C_4 Y_3 != hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B_1),C_4)))) # label(fact_186_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 271 (all Y_3 -(all A_1 all B_1 all C_4 Y_3 != hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_1),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B_1),C_4)))) # label(fact_187_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 272 (all Y_3 -(all A_1 all B_1 all C_4 Y_3 != hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_1),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B_1),C_4)))) # label(fact_188_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 273 (all Y_4 -(all A_1 all B_1 all C_4 Y_4 != hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_1),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,B_1),C_4)))) # label(fact_189_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 274 (all Y_4 -(all A_1 all B_1 all C_4 Y_4 != hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_1),C_4)))) # label(fact_190_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 275 (all Y_4 -(all A_1 all B_1 all C_4 Y_4 != hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,B_1),C_4)))) # label(fact_191_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 276 (all Y_4 -(all A_1 all B_1 all C_4 (is_bop(B_1) -> Y_4 != hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_1),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,B_1),C_4))))) # label(fact_192_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 277 (all Y_4 -(all A_1 all B_1 all C_4 Y_4 != hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A_1),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B_1),C_4)))) # label(fact_193_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 278 (all Y_3 -(all A_1 all B_1 all C_4 Y_3 != hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A_1),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,B_1),C_4)))) # label(fact_194_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 279 (all Y_4 -(all A_1 all B_1 all C_4 Y_4 != hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_1),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,B_1),C_4)))) # label(fact_195_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 280 (all Y_4 -(all A_1 all B_1 all C_4 Y_4 != hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_1),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,B_1),C_4)))) # label(fact_196_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 281 (all Y_4 -(all A_1 all B_1 all C_4 Y_4 != hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,B_1),C_4)))) # label(fact_197_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 282 (all Y_4 -(all A_1 all B_1 all C_4 Y_4 != hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,A_1),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,B_1),C_4)))) # label(fact_198_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 283 (all Y_4 -(all A_1 all B_1 all C_4 Y_4 != hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A_1),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,B_1),C_4)))) # label(fact_199_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 284 (all Y_4 -(all A_1 all B_1 all C_4 Y_4 != hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,A_1),hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,B_1),C_4)))) # label(fact_200_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 285 (all X_2 all Pa ((all A_1 all B_1 all C_4 hBOOL(hAPP_P831231943y_bool(Pa,hAPP_P295788316har_ty(hAPP_l848957697har_ty(produc1002914035har_ty,A_1),hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,B_1),C_4))))) -> hBOOL(hAPP_P831231943y_bool(Pa,X_2)))) # label(fact_201_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 286 (all X_2 all Pa ((all A_1 all B_1 all C_4 hBOOL(hAPP_P1384137393r_bool(Pa,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_1),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,B_1),C_4))))) -> hBOOL(hAPP_P1384137393r_bool(Pa,X_2)))) # label(fact_202_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 287 (all X_2 all Pa ((all A_1 all B_1 all C_4 hBOOL(hAPP_P282169671l_bool(Pa,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B_1),C_4))))) -> hBOOL(hAPP_P282169671l_bool(Pa,X_2)))) # label(fact_203_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 288 (all X_2 all Pa ((all A_1 all B_1 all C_4 hBOOL(hAPP_P1708370145l_bool(Pa,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B_1),C_4))))) -> hBOOL(hAPP_P1708370145l_bool(Pa,X_2)))) # label(fact_204_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 289 (all X_2 all Pa ((all A_1 all B_1 all C_4 hBOOL(hAPP_P1333315679l_bool(Pa,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,B_1),C_4))))) -> hBOOL(hAPP_P1333315679l_bool(Pa,X_2)))) # label(fact_205_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 290 (all X_2 all Pa ((all A_1 all B_1 all C_4 hBOOL(hAPP_P71593144l_bool(Pa,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B_1),C_4))))) -> hBOOL(hAPP_P71593144l_bool(Pa,X_2)))) # label(fact_206_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 291 (all X_2 all Pa ((all A_1 all B_1 all C_4 hBOOL(hAPP_P92196306r_bool(Pa,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_1),C_4))))) -> hBOOL(hAPP_P92196306r_bool(Pa,X_2)))) # label(fact_207_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 292 (all X_2 all Pa ((all A_1 all B_1 all C_4 hBOOL(hAPP_P1907982426r_bool(Pa,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,B_1),C_4))))) -> hBOOL(hAPP_P1907982426r_bool(Pa,X_2)))) # label(fact_208_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 293 (all X_2 all Pa ((all A_1 all B_1 all C_4 (is_bop(A_1) -> hBOOL(hAPP_P943837928l_bool(Pa,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B_1),C_4)))))) -> hBOOL(hAPP_P943837928l_bool(Pa,X_2)))) # label(fact_209_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 294 (all X_2 all Pa ((all A_1 all B_1 all C_4 hBOOL(hAPP_P1680401186r_bool(Pa,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,B_1),C_4))))) -> hBOOL(hAPP_P1680401186r_bool(Pa,X_2)))) # label(fact_210_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 295 (all X_2 all Pa ((all A_1 all B_1 all C_4 hBOOL(hAPP_P659547099r_bool(Pa,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,B_1),C_4))))) -> hBOOL(hAPP_P659547099r_bool(Pa,X_2)))) # label(fact_211_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 296 (all X_2 all Pa ((all A_1 all B_1 all C_4 hBOOL(hAPP_P1221872711l_bool(Pa,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B_1),C_4))))) -> hBOOL(hAPP_P1221872711l_bool(Pa,X_2)))) # label(fact_212_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 297 (all X_2 all Pa ((all A_1 all B_1 all C_4 hBOOL(hAPP_P378063101l_bool(Pa,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_1),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B_1),C_4))))) -> hBOOL(hAPP_P378063101l_bool(Pa,X_2)))) # label(fact_213_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 298 (all X_2 all Pa ((all A_1 all B_1 all C_4 hBOOL(hAPP_P2028072621l_bool(Pa,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_1),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B_1),C_4))))) -> hBOOL(hAPP_P2028072621l_bool(Pa,X_2)))) # label(fact_214_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 299 (all X_2 all Pa ((all A_1 all B_1 all C_4 hBOOL(hAPP_P824029447r_bool(Pa,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_1),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,B_1),C_4))))) -> hBOOL(hAPP_P824029447r_bool(Pa,X_2)))) # label(fact_215_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 300 (all X_2 all Pa ((all A_1 all B_1 all C_4 hBOOL(hAPP_P1240100515r_bool(Pa,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_1),C_4))))) -> hBOOL(hAPP_P1240100515r_bool(Pa,X_2)))) # label(fact_216_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 301 (all X_2 all Pa ((all A_1 all B_1 all C_4 hBOOL(hAPP_P1183499705r_bool(Pa,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,B_1),C_4))))) -> hBOOL(hAPP_P1183499705r_bool(Pa,X_2)))) # label(fact_217_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 302 (all X_2 all Pa ((all A_1 all B_1 all C_4 (is_bop(B_1) -> hBOOL(hAPP_P738987199l_bool(Pa,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_1),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,B_1),C_4)))))) -> hBOOL(hAPP_P738987199l_bool(Pa,X_2)))) # label(fact_218_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 303 (all X_2 all Pa ((all A_1 all B_1 all C_4 hBOOL(hAPP_P2123002749l_bool(Pa,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A_1),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B_1),C_4))))) -> hBOOL(hAPP_P2123002749l_bool(Pa,X_2)))) # label(fact_219_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 304 (all X_2 all Pa ((all A_1 all B_1 all C_4 hBOOL(hAPP_P124632071l_bool(Pa,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A_1),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,B_1),C_4))))) -> hBOOL(hAPP_P124632071l_bool(Pa,X_2)))) # label(fact_220_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 305 (all X_2 all Pa ((all A_1 all B_1 all C_4 hBOOL(hAPP_P2010574925r_bool(Pa,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_1),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,B_1),C_4))))) -> hBOOL(hAPP_P2010574925r_bool(Pa,X_2)))) # label(fact_221_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 306 (all X_2 all Pa ((all A_1 all B_1 all C_4 hBOOL(hAPP_P975284999r_bool(Pa,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_1),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,B_1),C_4))))) -> hBOOL(hAPP_P975284999r_bool(Pa,X_2)))) # label(fact_222_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 307 (all X_2 all Pa ((all A_1 all B_1 all C_4 hBOOL(hAPP_P929449287r_bool(Pa,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,B_1),C_4))))) -> hBOOL(hAPP_P929449287r_bool(Pa,X_2)))) # label(fact_223_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 308 (all X_2 all Pa ((all A_1 all B_1 all C_4 hBOOL(hAPP_P801803911r_bool(Pa,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,A_1),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,B_1),C_4))))) -> hBOOL(hAPP_P801803911r_bool(Pa,X_2)))) # label(fact_224_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 309 (all X_2 all Pa ((all A_1 all B_1 all C_4 hBOOL(hAPP_P1002912327r_bool(Pa,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A_1),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,B_1),C_4))))) -> hBOOL(hAPP_P1002912327r_bool(Pa,X_2)))) # label(fact_225_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 310 (all X_2 all Pa ((all A_1 all B_1 all C_4 hBOOL(hAPP_P439015943l_bool(Pa,hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,A_1),hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,B_1),C_4))))) -> hBOOL(hAPP_P439015943l_bool(Pa,X_2)))) # label(fact_226_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 311 (all Eb all Hb all Lb all E_b all H_b all L_b all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))),red(Pa))) -> hBOOL(hext(Hb,H_b)))) # label(fact_227_red__hext__incr) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 312 (all L_0_1 all Eb all Hb all Lb all E_b all H_b all L_b all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))),red(Pa))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),map_ad325961431ar_val(L_0_1,Lb)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),map_ad325961431ar_val(L_0_1,L_b)))),red(Pa))))) # label(fact_228_red__lcl__add) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 313 (all Y_2 -(all A_1 all B_1 Y_2 != hAPP_P295788316har_ty(hAPP_l848957697har_ty(produc1002914035har_ty,A_1),B_1))) # label(fact_229_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 314 (all Y_2 -(all A_1 all B_1 Y_2 != hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,A_1),B_1))) # label(fact_230_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 315 (all Y_2 -(all A_1 all B_1 Y_2 != hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,A_1),B_1))) # label(fact_231_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 316 (all Y_2 -(all A_1 all B_1 Y_2 != hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A_1),B_1))) # label(fact_232_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 317 (all Y_2 -(all A_1 all B_1 Y_2 != hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,A_1),B_1))) # label(fact_233_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 318 (all Y_2 -(all A_1 all B_1 Y_2 != hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A_1),B_1))) # label(fact_234_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 319 (all Y_2 -(all A_1 all B_1 Y_2 != hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_1),B_1))) # label(fact_235_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 320 (all Y_2 -(all A_1 all B_1 Y_2 != hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_1),B_1))) # label(fact_236_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 321 (all Y_3 -(all A_1 all B_1 Y_3 != hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A_1),B_1))) # label(fact_237_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 322 (all Y_2 -(all A_1 all B_1 Y_2 != hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A_1),B_1))) # label(fact_238_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 323 (all Y_2 -(all A_1 all B_1 Y_2 != hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_1),B_1))) # label(fact_239_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 324 (all Y_2 -(all A_1 all B_1 Y_2 != hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_1),B_1))) # label(fact_240_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 325 (all Y_2 -(all A_1 all B_1 Y_2 != hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_1),B_1))) # label(fact_241_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 326 (all Y_2 -(all A_1 all B_1 Y_2 != hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_1),B_1))) # label(fact_242_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 327 (all Y_3 -(all A_1 all B_1 Y_3 != hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_1),B_1))) # label(fact_243_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 328 (all Y_3 -(all A_1 all B_1 Y_3 != hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_1),B_1))) # label(fact_244_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 329 (all Y_3 -(all A_1 all B_1 Y_3 != hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A_1),B_1))) # label(fact_245_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 330 (all Y_2 -(all A_1 all B_1 Y_2 != hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A_1),B_1))) # label(fact_246_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 331 (all Y_2 -(all A_1 all B_1 Y_2 != hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_1),B_1))) # label(fact_247_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 332 (all Y_3 -(all A_1 all B_1 Y_3 != hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_1),B_1))) # label(fact_248_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 333 (all Y_3 -(all A_1 all B_1 Y_3 != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B_1))) # label(fact_249_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 334 (all Y_3 -(all A_1 all B_1 Y_3 != hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),B_1))) # label(fact_250_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 335 (all Y_3 -(all A_1 all B_1 Y_3 != hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B_1))) # label(fact_251_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 336 (all Y_3 -(all A_1 all B_1 Y_3 != hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),B_1))) # label(fact_252_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 337 (all Y_2 -(all A_1 all B_1 Y_2 != hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),B_1))) # label(fact_253_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 338 (all Y_2 -(all A_1 all B_1 Y_2 != hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),B_1))) # label(fact_254_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 339 (all Y_2 -(all A_1 all B_1 Y_2 != hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_1),B_1))) # label(fact_255_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 340 (all Y_2 -(all A_1 all B_1 (is_bop(A_1) -> Y_2 != hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),B_1)))) # label(fact_256_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 341 (all Y_2 -(all A_1 all B_1 Y_2 != hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B_1))) # label(fact_257_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 342 (all Y_3 -(all A_1 all B_1 Y_3 != hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_1),B_1))) # label(fact_258_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 343 (all Y_2 -(all A_1 all B_1 Y_2 != hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B_1))) # label(fact_259_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 344 (all Y_2 -(all A_1 all B_1 Y_2 != hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),B_1))) # label(fact_260_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 345 (all Y_2 -(all A_1 all B_1 Y_2 != hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),B_1))) # label(fact_261_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 346 (all Y_2 -(all A_1 all B_1 Y_2 != hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_1),B_1))) # label(fact_262_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 347 (all Y_2 -(all A_1 all B_1 Y_2 != hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_1),B_1))) # label(fact_263_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 348 (all Y_2 -(all A_1 all B_1 Y_2 != hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A_1),B_1))) # label(fact_264_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 349 (all P_2 -(all X_1 all Y_1 P_2 != hAPP_P295788316har_ty(hAPP_l848957697har_ty(produc1002914035har_ty,X_1),Y_1))) # label(fact_265_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 350 (all P_2 -(all X_1 all Y_1 P_2 != hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,X_1),Y_1))) # label(fact_266_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 351 (all P_2 -(all X_1 all Y_1 P_2 != hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,X_1),Y_1))) # label(fact_267_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 352 (all P_2 -(all X_1 all Y_1 P_2 != hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,X_1),Y_1))) # label(fact_268_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 353 (all P_2 -(all X_1 all Y_1 P_2 != hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,X_1),Y_1))) # label(fact_269_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 354 (all P_2 -(all X_1 all Y_1 P_2 != hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,X_1),Y_1))) # label(fact_270_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 355 (all P_2 -(all X_1 all Y_1 P_2 != hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,X_1),Y_1))) # label(fact_271_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 356 (all P_2 -(all X_1 all Y_1 P_2 != hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,X_1),Y_1))) # label(fact_272_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 357 (all P_1 -(all X_1 all Y_1 P_1 != hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,X_1),Y_1))) # label(fact_273_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 358 (all P_2 -(all X_1 all Y_1 P_2 != hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,X_1),Y_1))) # label(fact_274_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 359 (all P_2 -(all X_1 all Y_1 P_2 != hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,X_1),Y_1))) # label(fact_275_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 360 (all P_2 -(all X_1 all Y_1 P_2 != hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,X_1),Y_1))) # label(fact_276_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 361 (all P_2 -(all X_1 all Y_1 P_2 != hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,X_1),Y_1))) # label(fact_277_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 362 (all P_2 -(all X_1 all Y_1 P_2 != hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,X_1),Y_1))) # label(fact_278_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 363 (all P_1 -(all X_1 all Y_1 P_1 != hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,X_1),Y_1))) # label(fact_279_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 364 (all P_1 -(all X_1 all Y_1 P_1 != hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,X_1),Y_1))) # label(fact_280_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 365 (all P_1 -(all X_1 all Y_1 P_1 != hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,X_1),Y_1))) # label(fact_281_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 366 (all P_2 -(all X_1 all Y_1 P_2 != hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,X_1),Y_1))) # label(fact_282_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 367 (all P_2 -(all X_1 all Y_1 P_2 != hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,X_1),Y_1))) # label(fact_283_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 368 (all P_1 -(all X_1 all Y_1 P_1 != hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X_1),Y_1))) # label(fact_284_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 369 (all P_1 -(all X_1 all Y_1 P_1 != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X_1),Y_1))) # label(fact_285_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 370 (all P_1 -(all X_1 all Y_1 P_1 != hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X_1),Y_1))) # label(fact_286_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 371 (all P_1 -(all X_1 all Y_1 P_1 != hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,X_1),Y_1))) # label(fact_287_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 372 (all P_1 -(all X_1 all Y_1 P_1 != hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,X_1),Y_1))) # label(fact_288_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 373 (all P_2 -(all X_1 all Y_1 P_2 != hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,X_1),Y_1))) # label(fact_289_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 374 (all P_2 -(all X_1 all Y_1 P_2 != hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,X_1),Y_1))) # label(fact_290_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 375 (all P_2 -(all X_1 all Y_1 P_2 != hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,X_1),Y_1))) # label(fact_291_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 376 (all P_2 -(all X_1 all Y_1 (is_bop(X_1) -> P_2 != hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,X_1),Y_1)))) # label(fact_292_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 377 (all P_2 -(all X_1 all Y_1 P_2 != hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,X_1),Y_1))) # label(fact_293_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 378 (all P_1 -(all X_1 all Y_1 P_1 != hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,X_1),Y_1))) # label(fact_294_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 379 (all P_2 -(all X_1 all Y_1 P_2 != hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,X_1),Y_1))) # label(fact_295_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 380 (all P_2 -(all X_1 all Y_1 P_2 != hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,X_1),Y_1))) # label(fact_296_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 381 (all P_2 -(all X_1 all Y_1 P_2 != hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,X_1),Y_1))) # label(fact_297_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 382 (all P_2 -(all X_1 all Y_1 P_2 != hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,X_1),Y_1))) # label(fact_298_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 383 (all P_2 -(all X_1 all Y_1 P_2 != hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,X_1),Y_1))) # label(fact_299_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 384 (all P_2 -(all X_1 all Y_1 P_2 != hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,X_1),Y_1))) # label(fact_300_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 385 (all Pa ((exists X1 hBOOL(hAPP_P831231943y_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P831231943y_bool(Pa,hAPP_P295788316har_ty(hAPP_l848957697har_ty(produc1002914035har_ty,A_1),B_1)))))) # label(fact_301_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 386 (all Pa ((exists X1 hBOOL(hAPP_P748443392y_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P748443392y_bool(Pa,hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,A_1),B_1)))))) # label(fact_302_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 387 (all Pa ((exists X1 hBOOL(hAPP_P439015943l_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P439015943l_bool(Pa,hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,A_1),B_1)))))) # label(fact_303_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 388 (all Pa ((exists X1 hBOOL(hAPP_P1002912327r_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P1002912327r_bool(Pa,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A_1),B_1)))))) # label(fact_304_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 389 (all Pa ((exists X1 hBOOL(hAPP_P801803911r_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P801803911r_bool(Pa,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,A_1),B_1)))))) # label(fact_305_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 390 (all Pa ((exists X1 hBOOL(hAPP_P929449287r_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P929449287r_bool(Pa,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A_1),B_1)))))) # label(fact_306_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 391 (all Pa ((exists X1 hBOOL(hAPP_P975284999r_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P975284999r_bool(Pa,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_1),B_1)))))) # label(fact_307_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 392 (all Pa ((exists X1 hBOOL(hAPP_P2010574925r_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P2010574925r_bool(Pa,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_1),B_1)))))) # label(fact_308_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 393 (all Pa ((exists X1 hBOOL(hAPP_P124632071l_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P124632071l_bool(Pa,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A_1),B_1)))))) # label(fact_309_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 394 (all Pa ((exists X1 hBOOL(hAPP_P2123002749l_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P2123002749l_bool(Pa,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A_1),B_1)))))) # label(fact_310_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 395 (all Pa ((exists X1 hBOOL(hAPP_P738987199l_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P738987199l_bool(Pa,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_1),B_1)))))) # label(fact_311_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 396 (all Pa ((exists X1 hBOOL(hAPP_P1183499705r_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P1183499705r_bool(Pa,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_1),B_1)))))) # label(fact_312_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 397 (all Pa ((exists X1 hBOOL(hAPP_P1240100515r_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P1240100515r_bool(Pa,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_1),B_1)))))) # label(fact_313_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 398 (all Pa ((exists X1 hBOOL(hAPP_P824029447r_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P824029447r_bool(Pa,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_1),B_1)))))) # label(fact_314_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 399 (all Pa ((exists X1 hBOOL(hAPP_P2028072621l_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P2028072621l_bool(Pa,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_1),B_1)))))) # label(fact_315_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 400 (all Pa ((exists X1 hBOOL(hAPP_P378063101l_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P378063101l_bool(Pa,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_1),B_1)))))) # label(fact_316_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 401 (all Pa ((exists X1 hBOOL(hAPP_P1221872711l_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P1221872711l_bool(Pa,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A_1),B_1)))))) # label(fact_317_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 402 (all Pa ((exists X1 hBOOL(hAPP_P27757617y_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P27757617y_bool(Pa,hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A_1),B_1)))))) # label(fact_318_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 403 (all Pa ((exists X1 hBOOL(hAPP_P1384137393r_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P1384137393r_bool(Pa,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_1),B_1)))))) # label(fact_319_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 404 (all Pa ((exists X1 hBOOL(hAPP_P159683425l_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P159683425l_bool(Pa,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_1),B_1)))))) # label(fact_320_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 405 (all Pa ((exists X1 hBOOL(hAPP_P282169671l_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P282169671l_bool(Pa,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B_1)))))) # label(fact_321_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 406 (all Pa ((exists X1 hBOOL(hAPP_P1708370145l_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P1708370145l_bool(Pa,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),B_1)))))) # label(fact_322_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 407 (all Pa ((exists X1 hBOOL(hAPP_P1333315679l_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P1333315679l_bool(Pa,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B_1)))))) # label(fact_323_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 408 (all Pa ((exists X1 hBOOL(hAPP_P71593144l_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P71593144l_bool(Pa,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),B_1)))))) # label(fact_324_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 409 (all Pa ((exists X1 hBOOL(hAPP_P92196306r_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P92196306r_bool(Pa,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),B_1)))))) # label(fact_325_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 410 (all Pa ((exists X1 hBOOL(hAPP_P1907982426r_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P1907982426r_bool(Pa,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),B_1)))))) # label(fact_326_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 411 (all Pa ((exists X1 hBOOL(hAPP_P2118621157r_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P2118621157r_bool(Pa,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_1),B_1)))))) # label(fact_327_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 412 (all Pa ((exists X1 hBOOL(hAPP_P943837928l_bool(Pa,X1))) <-> (exists A_1 exists B_1 (is_bop(A_1) & hBOOL(hAPP_P943837928l_bool(Pa,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),B_1))))))) # label(fact_328_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 413 (all Pa ((exists X1 hBOOL(hAPP_P929938951l_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P929938951l_bool(Pa,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B_1)))))) # label(fact_329_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 414 (all Pa ((exists X1 hBOOL(hAPP_P1235399154l_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P1235399154l_bool(Pa,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_1),B_1)))))) # label(fact_330_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 415 (all Pa ((exists X1 hBOOL(hAPP_P449474095r_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P449474095r_bool(Pa,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B_1)))))) # label(fact_331_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 416 (all Pa ((exists X1 hBOOL(hAPP_P1680401186r_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P1680401186r_bool(Pa,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),B_1)))))) # label(fact_332_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 417 (all Pa ((exists X1 hBOOL(hAPP_P659547099r_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P659547099r_bool(Pa,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),B_1)))))) # label(fact_333_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 418 (all Pa ((exists X1 hBOOL(hAPP_P828904212r_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P828904212r_bool(Pa,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_1),B_1)))))) # label(fact_334_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 419 (all Pa ((exists X1 hBOOL(hAPP_P2014166431r_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P2014166431r_bool(Pa,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_1),B_1)))))) # label(fact_335_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 420 (all Pa ((exists X1 hBOOL(hAPP_P1070896250l_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P1070896250l_bool(Pa,hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A_1),B_1)))))) # label(fact_336_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 421 (all H_b all Pa all Hb all Ea all Eb all Ta (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),Ta)) -> (hBOOL(hext(Hb,H_b)) -> hBOOL(hAPP_ty_bool(wTrt(Pa,H_b,Ea,Eb),Ta))))) # label(fact_337_WTrt__hext__mono) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 422 (all Hb hBOOL(hext(Hb,Hb))) # label(fact_338_hext__refl) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 423 (all H_b all Pa all Hb all Lb all Ea (hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),Hb),Lb),Ea)) -> (hBOOL(hext(Hb,H_b)) -> hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),H_b),Lb),Ea))))) # label(fact_339_lconf__hext) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 424 (all L_0_1 all Eb all Hb all Lb all E_b all H_b all L_b all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),map_ad325961431ar_val(L_0_1,Lb)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),map_ad325961431ar_val(L_0_1,L_b)))),transi2024712006on_val(red(Pa)))))) # label(fact_340_Red__lcl__add) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 425 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member1783291580har_ty(hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,X_1),Xa),R_2)) <-> hBOOL(member1783291580har_ty(hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_341_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 426 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member503779467har_ty(hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,X_1),Xa),R_2)) <-> hBOOL(member503779467har_ty(hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_342_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 427 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member619264020ar_val(hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,X_1),Xa),R_2)) <-> hBOOL(member619264020ar_val(hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_343_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 428 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member1999287380t_char(hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,X_1),Xa),R_2)) <-> hBOOL(member1999287380t_char(hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_344_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 429 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member1551446420t_char(hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,X_1),Xa),R_2)) <-> hBOOL(member1551446420t_char(hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_345_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 430 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member1607118676t_char(hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,X_1),Xa),R_2)) <-> hBOOL(member1607118676t_char(hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_346_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.56 431 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member162552852t_char(hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,X_1),Xa),R_2)) <-> hBOOL(member162552852t_char(hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_347_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 432 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member794220506t_char(hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,X_1),Xa),R_2)) <-> hBOOL(member794220506t_char(hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_348_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 433 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member1322055188on_val(hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,X_1),Xa),R_2)) <-> hBOOL(member1322055188on_val(hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_349_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 434 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member837208074al_val(hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,X_1),Xa),R_2)) <-> hBOOL(member837208074al_val(hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_350_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 435 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member1732271180al_val(hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,X_1),Xa),R_2)) <-> hBOOL(member1732271180al_val(hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_351_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 436 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member1161907014t_char(hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,X_1),Xa),R_2)) <-> hBOOL(member1161907014t_char(hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_352_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 437 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member125098544t_char(hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,X_1),Xa),R_2)) <-> hBOOL(member125098544t_char(hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_353_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 438 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member1420286996t_char(hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,X_1),Xa),R_2)) <-> hBOOL(member1420286996t_char(hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_354_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 439 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member88670778on_val(hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,X_1),Xa),R_2)) <-> hBOOL(member88670778on_val(hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_355_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 440 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member808015754on_val(hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,X_1),Xa),R_2)) <-> hBOOL(member808015754on_val(hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_356_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 441 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member563141460on_val(hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,X_1),Xa),R_2)) <-> hBOOL(member563141460on_val(hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_357_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 442 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member2007117138har_ty(hAPP_P295788316har_ty(hAPP_l848957697har_ty(produc1002914035har_ty,X_1),Xa),R_2)) <-> hBOOL(member2007117138har_ty(hAPP_P295788316har_ty(hAPP_l848957697har_ty(produc1002914035har_ty,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_358_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 443 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X_1),Xa),R_2)) <-> hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_359_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 444 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X_1),Xa),R_2)) <-> hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_360_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 445 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member1972431429on_val(hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,X_1),Xa),R_2)) <-> hBOOL(member1972431429on_val(hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_361_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 446 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member133545693t_char(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,X_1),Xa),R_2)) <-> hBOOL(member133545693t_char(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_362_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 447 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member140606439t_char(hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,X_1),Xa),R_2)) <-> hBOOL(member140606439t_char(hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_363_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 448 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member699351154t_char(hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,X_1),Xa),R_2)) <-> hBOOL(member699351154t_char(hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_364_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 449 (all S_4 all R_2 ((all X_1 all Xa (is_bop(X_1) -> (hBOOL(member1417904245al_val(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,X_1),Xa),R_2)) <-> hBOOL(member1417904245al_val(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,X_1),Xa),S_4))))) <-> R_2 = S_4)) # label(fact_365_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 450 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,X_1),Xa),R_2)) <-> hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_366_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 451 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member1542417277on_val(hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,X_1),Xa),R_2)) <-> hBOOL(member1542417277on_val(hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_367_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 452 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member1771544038t_char(hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,X_1),Xa),R_2)) <-> hBOOL(member1771544038t_char(hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_368_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 453 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member1379348767t_char(hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,X_1),Xa),R_2)) <-> hBOOL(member1379348767t_char(hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_369_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 454 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member1840112042t_char(hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,X_1),Xa),R_2)) <-> hBOOL(member1840112042t_char(hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_370_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 455 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member806854661ar_val(hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,X_1),Xa),R_2)) <-> hBOOL(member806854661ar_val(hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_371_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 456 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X_1),Xa),R_2)) <-> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_372_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 457 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,X_1),Xa),R_2)) <-> hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_373_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 458 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,X_1),Xa),R_2)) <-> hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_374_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 459 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member1467889965t_char(hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,X_1),Xa),R_2)) <-> hBOOL(member1467889965t_char(hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_375_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 460 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member1601084734t_char(hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,X_1),Xa),R_2)) <-> hBOOL(member1601084734t_char(hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_376_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 461 (all C_1 all A all B hAPP_P841862366ar_val(hAPP_f1295640803ar_val(produc1713493127ar_val,C_1),hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A),B)) = hAPP_t97533526ar_val(hAPP_P221287148ar_val(C_1,A),B)) # label(fact_377_internal__split__conv) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 462 (all C_1 all A all B (hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc2128769400l_bool,C_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B))) <-> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(C_1,A),B)))) # label(fact_378_internal__split__conv) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 463 (all C_1 all A all B hAPP_P1228500987ion_ty(hAPP_f46308763ion_ty(produc1577326610ion_ty,C_1),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B)) = hAPP_f652398900ion_ty(hAPP_l2000496933ion_ty(C_1,A),B)) # label(fact_379_internal__split__conv) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 464 (all C_1 all Ta all Pa all Hb all Ea all Eb (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),boolean)) -> (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,C_1),Ta)) -> hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,while_list_char(Eb,C_1)),void))))) # label(fact_380_WTrtWhile) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 465 (all Pa all Ea all S (hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(Pa,Ea),S)) <-> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_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))),Ea))),S)))) # label(fact_381_sconf__def) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 466 (all Ta all E_2 all T_2 all E_1 all T_1 all Pa all Hb all Ea all Eb (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),boolean)) -> (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,E_1),T_1)) -> (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,E_2),T_2)) -> (hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_1),T_2)) | hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_2),T_1)) -> ((hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_1),T_2)) -> Ta = T_2) -> ((hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_2),T_1)) -> Ta = T_1) -> hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,cond_list_char(Eb,E_1,E_2)),Ta))))))))) # label(fact_382_WTrtCond) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 467 (all H_4 all Hb all H_b (hBOOL(hext(Hb,H_b)) -> (hBOOL(hext(H_b,H_4)) -> hBOOL(hext(Hb,H_4))))) # label(fact_383_hext__trans) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 468 (all V_1 all Fa all Da all Eb all S all E_b all S_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),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_1),Fa,Da,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,V_1),Fa,Da,E_b)),S_2)),red(Pa))))) # label(fact_384_red__reds_OFAssRed2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 469 (all Eb all Fa all Da all S 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(Eb),Fa,Da)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),red(Pa)))) # label(fact_385_red__reds_OFAccThrow) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 470 (all F1 all A all B (hBOOL(hAPP_P748443392y_bool(hAPP_l1665608433y_bool(F1,A),B)) -> hBOOL(hAPP_P831231943y_bool(hAPP_f1134484787y_bool(produc802464979y_bool,F1),hAPP_P295788316har_ty(hAPP_l848957697har_ty(produc1002914035har_ty,A),B))))) # label(fact_386_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 471 (all F1 all A all B (hBOOL(hAPP_ty_bool(hAPP_l1734756650y_bool(F1,A),B)) -> hBOOL(hAPP_P748443392y_bool(hAPP_f695389733y_bool(produc1322037260y_bool,F1),hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,A),B))))) # label(fact_387_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 472 (all F1 all A all B (hBOOL(hAPP_P1070896250l_bool(hAPP_P1236192325l_bool(F1,A),B)) -> hBOOL(hAPP_P439015943l_bool(hAPP_f1653906803l_bool(produc891186911l_bool,F1),hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,A),B))))) # label(fact_388_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 473 (all F1 all A all B (hBOOL(hAPP_P2014166431r_bool(hAPP_P1939418767r_bool(F1,A),B)) -> hBOOL(hAPP_P1002912327r_bool(hAPP_f1728305001r_bool(produc1946648479r_bool,F1),hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A),B))))) # label(fact_389_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 474 (all F1 all A all B (hBOOL(hAPP_P828904212r_bool(hAPP_P225001977r_bool(F1,A),B)) -> hBOOL(hAPP_P801803911r_bool(hAPP_f1760165311r_bool(produc1458513631r_bool,F1),hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,A),B))))) # label(fact_390_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 475 (all F1 all A all B (hBOOL(hAPP_P659547099r_bool(hAPP_P194929415r_bool(F1,A),B)) -> hBOOL(hAPP_P929449287r_bool(hAPP_f1774800369r_bool(produc1113940127r_bool,F1),hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A),B))))) # label(fact_391_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 476 (all F1 all A all B (hBOOL(hAPP_P1680401186r_bool(hAPP_P1117344277r_bool(F1,A),B)) -> hBOOL(hAPP_P975284999r_bool(hAPP_f72760099r_bool(produc310626655r_bool,F1),hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A),B))))) # label(fact_392_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 477 (all F1 all A all B (hBOOL(hAPP_P449474095r_bool(hAPP_P663876415r_bool(F1,A),B)) -> hBOOL(hAPP_P2010574925r_bool(hAPP_f39862969r_bool(produc1131232171r_bool,F1),hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A),B))))) # label(fact_393_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 478 (all F1 all A all B (hBOOL(hAPP_P1235399154l_bool(hAPP_P416784693l_bool(F1,A),B)) -> hBOOL(hAPP_P124632071l_bool(hAPP_f834198659l_bool(produc870083295l_bool,F1),hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A),B))))) # label(fact_394_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 479 (all F1 all A all B (hBOOL(hAPP_P929938951l_bool(hAPP_P1815899455l_bool(F1,A),B)) -> hBOOL(hAPP_P2123002749l_bool(hAPP_f1774252649l_bool(produc506816603l_bool,F1),hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A),B))))) # label(fact_395_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 480 (all F1 all A all B (hBOOL(hAPP_P943837928l_bool(hAPP_P323054207l_bool(F1,A),B)) -> hBOOL(hAPP_P738987199l_bool(hAPP_f463140843l_bool(produc1296464157l_bool,F1),hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A),B))))) # label(fact_396_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 481 (all F1 all A all B (hBOOL(hAPP_P2118621157r_bool(hAPP_P357098431r_bool(F1,A),B)) -> hBOOL(hAPP_P1183499705r_bool(hAPP_f523402917r_bool(produc22827031r_bool,F1),hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A),B))))) # label(fact_397_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 482 (all F1 all A all B (hBOOL(hAPP_P1907982426r_bool(hAPP_P1214880255r_bool(F1,A),B)) -> hBOOL(hAPP_P1240100515r_bool(hAPP_f1377529935r_bool(produc1470355201r_bool,F1),hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A),B))))) # label(fact_398_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 483 (all F1 all A all B (hBOOL(hAPP_P92196306r_bool(hAPP_P1928969845r_bool(F1,A),B)) -> hBOOL(hAPP_P824029447r_bool(hAPP_f655949763r_bool(produc1294339167r_bool,F1),hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A),B))))) # label(fact_399_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 484 (all F1 all A all B (hBOOL(hAPP_P1333315679l_bool(hAPP_P220718911l_bool(F1,A),B)) -> hBOOL(hAPP_P2028072621l_bool(hAPP_f1600283417l_bool(produc376173579l_bool,F1),hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A),B))))) # label(fact_400_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 485 (all F1 all A all B (hBOOL(hAPP_P282169671l_bool(hAPP_P2062527807l_bool(F1,A),B)) -> hBOOL(hAPP_P378063101l_bool(hAPP_f1363805417l_bool(produc1229156571l_bool,F1),hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A),B))))) # label(fact_401_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 486 (all F1 all A all B (hBOOL(hAPP_P159683425l_bool(hAPP_P1988153107l_bool(F1,A),B)) -> hBOOL(hAPP_P1221872711l_bool(hAPP_f662143077l_bool(produc1193275679l_bool,F1),hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A),B))))) # label(fact_402_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 487 (all F1 all A all B (hBOOL(hAPP_ty_bool(hAPP_P1845004857y_bool(F1,A),B)) -> hBOOL(hAPP_P27757617y_bool(hAPP_f201105125y_bool(produc1851383869y_bool,F1),hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A),B))))) # label(fact_403_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 488 (all F1 all A all B (hBOOL(hAPP_P1187139874r_bool(hAPP_l165010689r_bool(F1,A),B)) -> hBOOL(hAPP_P1384137393r_bool(hAPP_f433337307r_bool(produc65850127r_bool,F1),hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A),B))))) # label(fact_404_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 489 (all F1 all A all B (hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F1,A),B)) -> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B))))) # label(fact_405_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 490 (all F1 all A all B (hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(F1,A),B)) -> hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,F1),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B))))) # label(fact_406_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 491 (all F1 all A all B (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(F1,A),B)) -> hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,F1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A),B))))) # label(fact_407_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 492 (all F1 all A all B (hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(F1,A),B)) -> hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,F1),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B))))) # label(fact_408_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 493 (all F1 all A all B (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(F1,A),B)) -> hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,F1),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A),B))))) # label(fact_409_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 494 (all F1 all A all B (hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(F1,A),B)) -> hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,F1),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A),B))))) # label(fact_410_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 495 (all F1 all A all B (hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(F1,A),B)) -> hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,F1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A),B))))) # label(fact_411_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 496 (all F1 all A all B (hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(F1,A),B)) -> hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,F1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A),B))))) # label(fact_412_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 497 (all F1 all A all B (hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(F1,A),B)) -> hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,F1),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A),B))))) # label(fact_413_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 498 (all F1 all A all B (hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(F1,A),B)) -> hBOOL(hAPP_P929938951l_bool(hAPP_f1534412387l_bool(produc769963999l_bool,F1),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B))))) # label(fact_414_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 499 (all F1 all A all B (hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(F1,A),B)) -> hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,F1),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B))))) # label(fact_415_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 500 (all F1 all A all B (hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(F1,A),B)) -> hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,F1),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B))))) # label(fact_416_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 501 (all F1 all A all B (hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(F1,A),B)) -> hBOOL(hAPP_P1680401186r_bool(hAPP_f952817385r_bool(produc723279022r_bool,F1),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A),B))))) # label(fact_417_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 502 (all F1 all A all B (hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(F1,A),B)) -> hBOOL(hAPP_P659547099r_bool(hAPP_f252398939r_bool(produc1324280167r_bool,F1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A),B))))) # label(fact_418_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 503 (all F1 all A all B (hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(F1,A),B)) -> hBOOL(hAPP_P828904212r_bool(hAPP_f895126887r_bool(produc1596557472r_bool,F1),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A),B))))) # label(fact_419_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 504 (all F1 all A all B (hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(F1,A),B)) -> hBOOL(hAPP_P2014166431r_bool(hAPP_f1484794973r_bool(produc1732333873r_bool,F1),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A),B))))) # label(fact_420_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 505 (all F1 all A all B (hBOOL(hAPP_val_bool(hAPP_P486515074l_bool(F1,A),B)) -> hBOOL(hAPP_P1070896250l_bool(hAPP_f1663301111l_bool(produc1873777030l_bool,F1),hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A),B))))) # label(fact_421_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 506 (all F all A all B (hBOOL(hAPP_P748443392y_bool(hAPP_l1665608433y_bool(F,A),B)) -> hBOOL(hAPP_P831231943y_bool(hAPP_f1134484787y_bool(produc802464979y_bool,F),hAPP_P295788316har_ty(hAPP_l848957697har_ty(produc1002914035har_ty,A),B))))) # label(fact_422_splitI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 507 (all F all A all B (hBOOL(hAPP_ty_bool(hAPP_l1734756650y_bool(F,A),B)) -> hBOOL(hAPP_P748443392y_bool(hAPP_f695389733y_bool(produc1322037260y_bool,F),hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,A),B))))) # label(fact_423_splitI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 508 (all F all A all B (hBOOL(hAPP_P1070896250l_bool(hAPP_P1236192325l_bool(F,A),B)) -> hBOOL(hAPP_P439015943l_bool(hAPP_f1653906803l_bool(produc891186911l_bool,F),hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,A),B))))) # label(fact_424_splitI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 509 (all F all A all B (hBOOL(hAPP_P2014166431r_bool(hAPP_P1939418767r_bool(F,A),B)) -> hBOOL(hAPP_P1002912327r_bool(hAPP_f1728305001r_bool(produc1946648479r_bool,F),hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A),B))))) # label(fact_425_splitI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 510 (all F all A all B (hBOOL(hAPP_P828904212r_bool(hAPP_P225001977r_bool(F,A),B)) -> hBOOL(hAPP_P801803911r_bool(hAPP_f1760165311r_bool(produc1458513631r_bool,F),hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,A),B))))) # label(fact_426_splitI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 511 (all F all A all B (hBOOL(hAPP_P659547099r_bool(hAPP_P194929415r_bool(F,A),B)) -> hBOOL(hAPP_P929449287r_bool(hAPP_f1774800369r_bool(produc1113940127r_bool,F),hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A),B))))) # label(fact_427_splitI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 512 (all F all A all B (hBOOL(hAPP_P1680401186r_bool(hAPP_P1117344277r_bool(F,A),B)) -> hBOOL(hAPP_P975284999r_bool(hAPP_f72760099r_bool(produc310626655r_bool,F),hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A),B))))) # label(fact_428_splitI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 513 (all F all A all B (hBOOL(hAPP_P449474095r_bool(hAPP_P663876415r_bool(F,A),B)) -> hBOOL(hAPP_P2010574925r_bool(hAPP_f39862969r_bool(produc1131232171r_bool,F),hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A),B))))) # label(fact_429_splitI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 514 (all F all A all B (hBOOL(hAPP_P1235399154l_bool(hAPP_P416784693l_bool(F,A),B)) -> hBOOL(hAPP_P124632071l_bool(hAPP_f834198659l_bool(produc870083295l_bool,F),hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A),B))))) # label(fact_430_splitI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 515 (all F all A all B (hBOOL(hAPP_P929938951l_bool(hAPP_P1815899455l_bool(F,A),B)) -> hBOOL(hAPP_P2123002749l_bool(hAPP_f1774252649l_bool(produc506816603l_bool,F),hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A),B))))) # label(fact_431_splitI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 516 (all F all A all B (hBOOL(hAPP_P943837928l_bool(hAPP_P323054207l_bool(F,A),B)) -> hBOOL(hAPP_P738987199l_bool(hAPP_f463140843l_bool(produc1296464157l_bool,F),hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A),B))))) # label(fact_432_splitI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 517 (all F all A all B (hBOOL(hAPP_P2118621157r_bool(hAPP_P357098431r_bool(F,A),B)) -> hBOOL(hAPP_P1183499705r_bool(hAPP_f523402917r_bool(produc22827031r_bool,F),hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A),B))))) # label(fact_433_splitI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 518 (all F all A all B (hBOOL(hAPP_P1907982426r_bool(hAPP_P1214880255r_bool(F,A),B)) -> hBOOL(hAPP_P1240100515r_bool(hAPP_f1377529935r_bool(produc1470355201r_bool,F),hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A),B))))) # label(fact_434_splitI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 519 (all F all A all B (hBOOL(hAPP_P92196306r_bool(hAPP_P1928969845r_bool(F,A),B)) -> hBOOL(hAPP_P824029447r_bool(hAPP_f655949763r_bool(produc1294339167r_bool,F),hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A),B))))) # label(fact_435_splitI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 520 (all F all A all B (hBOOL(hAPP_P1333315679l_bool(hAPP_P220718911l_bool(F,A),B)) -> hBOOL(hAPP_P2028072621l_bool(hAPP_f1600283417l_bool(produc376173579l_bool,F),hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A),B))))) # label(fact_436_splitI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 521 (all F all A all B (hBOOL(hAPP_P282169671l_bool(hAPP_P2062527807l_bool(F,A),B)) -> hBOOL(hAPP_P378063101l_bool(hAPP_f1363805417l_bool(produc1229156571l_bool,F),hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A),B))))) # label(fact_437_splitI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 522 (all F all A all B (hBOOL(hAPP_P159683425l_bool(hAPP_P1988153107l_bool(F,A),B)) -> hBOOL(hAPP_P1221872711l_bool(hAPP_f662143077l_bool(produc1193275679l_bool,F),hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A),B))))) # label(fact_438_splitI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 523 (all F all A all B (hBOOL(hAPP_ty_bool(hAPP_P1845004857y_bool(F,A),B)) -> hBOOL(hAPP_P27757617y_bool(hAPP_f201105125y_bool(produc1851383869y_bool,F),hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A),B))))) # label(fact_439_splitI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 524 (all F all A all B (hBOOL(hAPP_P1187139874r_bool(hAPP_l165010689r_bool(F,A),B)) -> hBOOL(hAPP_P1384137393r_bool(hAPP_f433337307r_bool(produc65850127r_bool,F),hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A),B))))) # label(fact_440_splitI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 525 (all F all A all B (hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F,A),B)) -> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B))))) # label(fact_441_splitI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 526 (all F all A all B (hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(F,A),B)) -> hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,F),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B))))) # label(fact_442_splitI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 527 (all F all A all B (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(F,A),B)) -> hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,F),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A),B))))) # label(fact_443_splitI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 528 (all F all A all B (hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(F,A),B)) -> hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,F),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B))))) # label(fact_444_splitI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 529 (all F all A all B (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(F,A),B)) -> hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,F),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A),B))))) # label(fact_445_splitI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 530 (all F all A all B (hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(F,A),B)) -> hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,F),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A),B))))) # label(fact_446_splitI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 531 (all F all A all B (hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(F,A),B)) -> hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,F),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A),B))))) # label(fact_447_splitI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 532 (all F all A all B (hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(F,A),B)) -> hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,F),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A),B))))) # label(fact_448_splitI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 533 (all F all A all B (hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(F,A),B)) -> hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,F),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A),B))))) # label(fact_449_splitI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 534 (all F all A all B (hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(F,A),B)) -> hBOOL(hAPP_P929938951l_bool(hAPP_f1534412387l_bool(produc769963999l_bool,F),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B))))) # label(fact_450_splitI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 535 (all F all A all B (hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(F,A),B)) -> hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,F),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B))))) # label(fact_451_splitI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 536 (all F all A all B (hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(F,A),B)) -> hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,F),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B))))) # label(fact_452_splitI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 537 (all F all A all B (hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(F,A),B)) -> hBOOL(hAPP_P1680401186r_bool(hAPP_f952817385r_bool(produc723279022r_bool,F),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A),B))))) # label(fact_453_splitI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 538 (all F all A all B (hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(F,A),B)) -> hBOOL(hAPP_P659547099r_bool(hAPP_f252398939r_bool(produc1324280167r_bool,F),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A),B))))) # label(fact_454_splitI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 539 (all F all A all B (hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(F,A),B)) -> hBOOL(hAPP_P828904212r_bool(hAPP_f895126887r_bool(produc1596557472r_bool,F),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A),B))))) # label(fact_455_splitI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 540 (all F all A all B (hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(F,A),B)) -> hBOOL(hAPP_P2014166431r_bool(hAPP_f1484794973r_bool(produc1732333873r_bool,F),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A),B))))) # label(fact_456_splitI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 541 (all F all A all B (hBOOL(hAPP_val_bool(hAPP_P486515074l_bool(F,A),B)) -> hBOOL(hAPP_P1070896250l_bool(hAPP_f1663301111l_bool(produc1873777030l_bool,F),hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A),B))))) # label(fact_457_splitI) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 542 (all Val_19 all Exp_53 hAPP_v834067052t_char(val_list_char,Val_19) != throw_list_char(Exp_53)) # label(fact_458_exp_Osimps_I90_J) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 543 (all Exp_52 all Val_18 throw_list_char(Exp_52) != hAPP_v834067052t_char(val_list_char,Val_18)) # label(fact_459_exp_Osimps_I91_J) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 544 (all Val_17 all Exp1_107 all Exp2_107 hAPP_v834067052t_char(val_list_char,Val_17) != while_list_char(Exp1_107,Exp2_107)) # label(fact_460_exp_Osimps_I88_J) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 545 (all Exp_51 all Exp1_106 all Exp2_106 throw_list_char(Exp_51) != while_list_char(Exp1_106,Exp2_106)) # label(fact_461_exp_Osimps_I221_J) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 546 (all Val_16 all Exp1_105 all Exp2_105 all Exp3_19 hAPP_v834067052t_char(val_list_char,Val_16) != cond_list_char(Exp1_105,Exp2_105,Exp3_19)) # label(fact_462_exp_Osimps_I86_J) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 547 (all Exp_50 all Exp1_104 all Exp2_104 all Exp3_18 throw_list_char(Exp_50) != cond_list_char(Exp1_104,Exp2_104,Exp3_18)) # label(fact_463_exp_Osimps_I217_J) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 548 (all Exp1_103 all Exp2_103 all Exp_49 while_list_char(Exp1_103,Exp2_103) != throw_list_char(Exp_49)) # label(fact_464_exp_Osimps_I220_J) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 549 (all Exp1_102 all Exp2_102 all Val_15 while_list_char(Exp1_102,Exp2_102) != hAPP_v834067052t_char(val_list_char,Val_15)) # label(fact_465_exp_Osimps_I89_J) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 550 (all X_2 all A_22 (hBOOL(member1783291580har_ty(X_2,A_22)) <-> hBOOL(hAPP_P27757617y_bool(A_22,X_2)))) # label(fact_466_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 551 (all X_2 all A_22 (hBOOL(member503779467har_ty(X_2,A_22)) <-> hBOOL(hAPP_P748443392y_bool(A_22,X_2)))) # label(fact_467_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 552 (all X_2 all A_22 (hBOOL(member649088532al_val(X_2,A_22)) <-> hBOOL(hAPP_P929938951l_bool(A_22,X_2)))) # label(fact_468_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 553 (all X_2 all A_22 (hBOOL(member619264020ar_val(X_2,A_22)) <-> hBOOL(hAPP_P439015943l_bool(A_22,X_2)))) # label(fact_469_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 554 (all X_2 all A_22 (hBOOL(member1999287380t_char(X_2,A_22)) <-> hBOOL(hAPP_P1002912327r_bool(A_22,X_2)))) # label(fact_470_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 555 (all X_2 all A_22 (hBOOL(member1551446420t_char(X_2,A_22)) <-> hBOOL(hAPP_P801803911r_bool(A_22,X_2)))) # label(fact_471_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 556 (all X_2 all A_22 (hBOOL(member1607118676t_char(X_2,A_22)) <-> hBOOL(hAPP_P929449287r_bool(A_22,X_2)))) # label(fact_472_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 557 (all X_2 all A_22 (hBOOL(member162552852t_char(X_2,A_22)) <-> hBOOL(hAPP_P975284999r_bool(A_22,X_2)))) # label(fact_473_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 558 (all X_2 all A_22 (hBOOL(member794220506t_char(X_2,A_22)) <-> hBOOL(hAPP_P2010574925r_bool(A_22,X_2)))) # label(fact_474_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 559 (all X_2 all A_22 (hBOOL(member1322055188on_val(X_2,A_22)) <-> hBOOL(hAPP_P124632071l_bool(A_22,X_2)))) # label(fact_475_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 560 (all X_2 all A_22 (hBOOL(member837208074al_val(X_2,A_22)) <-> hBOOL(hAPP_P2123002749l_bool(A_22,X_2)))) # label(fact_476_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 561 (all X_2 all A_22 (hBOOL(member1732271180al_val(X_2,A_22)) <-> hBOOL(hAPP_P738987199l_bool(A_22,X_2)))) # label(fact_477_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 562 (all X_2 all A_22 (hBOOL(member1161907014t_char(X_2,A_22)) <-> hBOOL(hAPP_P1183499705r_bool(A_22,X_2)))) # label(fact_478_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 563 (all X_2 all A_22 (hBOOL(member125098544t_char(X_2,A_22)) <-> hBOOL(hAPP_P1240100515r_bool(A_22,X_2)))) # label(fact_479_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 564 (all X_2 all A_22 (hBOOL(member1420286996t_char(X_2,A_22)) <-> hBOOL(hAPP_P824029447r_bool(A_22,X_2)))) # label(fact_480_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 565 (all X_2 all A_22 (hBOOL(member88670778on_val(X_2,A_22)) <-> hBOOL(hAPP_P2028072621l_bool(A_22,X_2)))) # label(fact_481_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 566 (all X_2 all A_22 (hBOOL(member808015754on_val(X_2,A_22)) <-> hBOOL(hAPP_P378063101l_bool(A_22,X_2)))) # label(fact_482_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 567 (all X_2 all A_22 (hBOOL(member563141460on_val(X_2,A_22)) <-> hBOOL(hAPP_P1221872711l_bool(A_22,X_2)))) # label(fact_483_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 568 (all X_2 all A_22 (hBOOL(member806854661ar_val(X_2,A_22)) <-> hBOOL(hAPP_P1070896250l_bool(A_22,X_2)))) # label(fact_484_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 569 (all X_2 all A_22 (hBOOL(member1840112042t_char(X_2,A_22)) <-> hBOOL(hAPP_P2014166431r_bool(A_22,X_2)))) # label(fact_485_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 570 (all X_2 all A_22 (hBOOL(member1379348767t_char(X_2,A_22)) <-> hBOOL(hAPP_P828904212r_bool(A_22,X_2)))) # label(fact_486_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 571 (all X_2 all A_22 (hBOOL(member1771544038t_char(X_2,A_22)) <-> hBOOL(hAPP_P659547099r_bool(A_22,X_2)))) # label(fact_487_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 572 (all X_2 all A_22 (hBOOL(member1542417277on_val(X_2,A_22)) <-> hBOOL(hAPP_P1235399154l_bool(A_22,X_2)))) # label(fact_488_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 573 (all X_2 all A_22 (hBOOL(member1417904245al_val(X_2,A_22)) <-> hBOOL(hAPP_P943837928l_bool(A_22,X_2)))) # label(fact_489_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 574 (all X_2 all A_22 (hBOOL(member699351154t_char(X_2,A_22)) <-> hBOOL(hAPP_P2118621157r_bool(A_22,X_2)))) # label(fact_490_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 575 (all X_2 all A_22 (hBOOL(member140606439t_char(X_2,A_22)) <-> hBOOL(hAPP_P1907982426r_bool(A_22,X_2)))) # label(fact_491_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 576 (all X_2 all A_22 (hBOOL(member133545693t_char(X_2,A_22)) <-> hBOOL(hAPP_P92196306r_bool(A_22,X_2)))) # label(fact_492_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 577 (all X_2 all A_22 (hBOOL(member1972431429on_val(X_2,A_22)) <-> hBOOL(hAPP_P71593144l_bool(A_22,X_2)))) # label(fact_493_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 578 (all X_2 all A_22 (hBOOL(member840932460on_val(X_2,A_22)) <-> hBOOL(hAPP_P1708370145l_bool(A_22,X_2)))) # label(fact_494_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 579 (all X_2 all A_22 (hBOOL(member763590124on_val(X_2,A_22)) <-> hBOOL(hAPP_P159683425l_bool(A_22,X_2)))) # label(fact_495_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 580 (all X_2 all A_22 (hBOOL(member773094996on_val(X_2,A_22)) <-> hBOOL(hAPP_P282169671l_bool(A_22,X_2)))) # label(fact_496_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 581 (all X_2 all A_22 (hBOOL(member875476972on_val(X_2,A_22)) <-> hBOOL(hAPP_P1333315679l_bool(A_22,X_2)))) # label(fact_497_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 582 (all X_2 all A_22 (hBOOL(member1251428284t_char(X_2,A_22)) <-> hBOOL(hAPP_P449474095r_bool(A_22,X_2)))) # label(fact_498_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 583 (all X_2 all A_22 (hBOOL(member_list_char(X_2,A_22)) <-> hBOOL(hAPP_list_char_bool(A_22,X_2)))) # label(fact_499_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 584 (all X_2 all A_22 (hBOOL(member1467889965t_char(X_2,A_22)) <-> hBOOL(hAPP_P1680401186r_bool(A_22,X_2)))) # label(fact_500_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 585 (all X_2 all A_22 (hBOOL(member1601084734t_char(X_2,A_22)) <-> hBOOL(hAPP_P1384137393r_bool(A_22,X_2)))) # label(fact_501_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 586 (all Pa collect_ty(Pa) = Pa) # label(fact_502_Collect__def) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 587 (all Exp1_101 all Exp2_101 all Exp1_100 all Exp2_100 all Exp3_17 while_list_char(Exp1_101,Exp2_101) != cond_list_char(Exp1_100,Exp2_100,Exp3_17)) # label(fact_503_exp_Osimps_I215_J) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 588 (all Exp1_99 all Exp2_99 all Exp3_16 all Exp_48 cond_list_char(Exp1_99,Exp2_99,Exp3_16) != throw_list_char(Exp_48)) # label(fact_504_exp_Osimps_I216_J) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 589 (all Exp1_98 all Exp2_98 all Exp3_15 all Val_14 cond_list_char(Exp1_98,Exp2_98,Exp3_15) != hAPP_v834067052t_char(val_list_char,Val_14)) # label(fact_505_exp_Osimps_I87_J) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 590 (all Exp1_97 all Exp2_97 all Exp3_14 all Exp1_96 all Exp2_96 cond_list_char(Exp1_97,Exp2_97,Exp3_14) != while_list_char(Exp1_96,Exp2_96)) # label(fact_506_exp_Osimps_I214_J) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 591 (all Val_13 all Val_12 (hAPP_v834067052t_char(val_list_char,Val_13) = hAPP_v834067052t_char(val_list_char,Val_12) <-> Val_13 = Val_12)) # label(fact_507_exp_Osimps_I3_J) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 592 (all Exp_29 all Exp_28 (throw_list_char(Exp_29) = throw_list_char(Exp_28) <-> Exp_29 = Exp_28)) # label(fact_508_exp_Osimps_I14_J) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 593 (all Exp1_61 all Exp2_61 all Exp1_60 all Exp2_60 (while_list_char(Exp1_61,Exp2_61) = while_list_char(Exp1_60,Exp2_60) <-> Exp1_61 = Exp1_60 & Exp2_61 = Exp2_60)) # label(fact_509_exp_Osimps_I13_J) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 594 (all Exp1_61 all Exp2_61 all Exp3_13 all Exp1_60 all Exp2_60 all Exp3_12 (cond_list_char(Exp1_61,Exp2_61,Exp3_13) = cond_list_char(Exp1_60,Exp2_60,Exp3_12) <-> Exp1_61 = Exp1_60 & Exp2_61 = Exp2_60 & Exp3_13 = Exp3_12)) # label(fact_510_exp_Osimps_I12_J) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 595 (all C_1 all P_1 all Q_2 (P_1 = Q_2 -> hAPP_P901867449har_ty(hAPP_f1303264185har_ty(produc1096552923har_ty,C_1),P_1) = hAPP_P901867449har_ty(hAPP_f1303264185har_ty(produc1096552923har_ty,C_1),Q_2))) # label(fact_534_split__weak__cong) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 596 (all C_1 all P_1 all Q_2 (P_1 = Q_2 -> hAPP_P385447595har_ty(hAPP_f513000995har_ty(produc499452831har_ty,C_1),P_1) = hAPP_P385447595har_ty(hAPP_f513000995har_ty(produc499452831har_ty,C_1),Q_2))) # label(fact_535_split__weak__cong) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 597 (all C_1 all P_1 all Q_2 (P_1 = Q_2 -> hAPP_P71962758har_ty(hAPP_f909647877har_ty(produc2074304634har_ty,C_1),P_1) = hAPP_P71962758har_ty(hAPP_f909647877har_ty(produc2074304634har_ty,C_1),Q_2))) # label(fact_536_split__weak__cong) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 598 (all C_1 all P_1 all Q_2 (P_1 = Q_2 -> (hBOOL(hAPP_P748443392y_bool(hAPP_f695389733y_bool(produc1322037260y_bool,C_1),P_1)) <-> hBOOL(hAPP_P748443392y_bool(hAPP_f695389733y_bool(produc1322037260y_bool,C_1),Q_2))))) # label(fact_537_split__weak__cong) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 599 (all C_1 all P_1 all Q_2 (P_1 = Q_2 -> (hBOOL(hAPP_P1070896250l_bool(hAPP_f1663301111l_bool(produc1873777030l_bool,C_1),P_1)) <-> hBOOL(hAPP_P1070896250l_bool(hAPP_f1663301111l_bool(produc1873777030l_bool,C_1),Q_2))))) # label(fact_538_split__weak__cong) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 600 (all C_1 all P_1 all Q_2 (P_1 = Q_2 -> (hBOOL(hAPP_P2014166431r_bool(hAPP_f1484794973r_bool(produc1732333873r_bool,C_1),P_1)) <-> hBOOL(hAPP_P2014166431r_bool(hAPP_f1484794973r_bool(produc1732333873r_bool,C_1),Q_2))))) # label(fact_539_split__weak__cong) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 601 (all C_1 all P_1 all Q_2 (P_1 = Q_2 -> (hBOOL(hAPP_P828904212r_bool(hAPP_f895126887r_bool(produc1596557472r_bool,C_1),P_1)) <-> hBOOL(hAPP_P828904212r_bool(hAPP_f895126887r_bool(produc1596557472r_bool,C_1),Q_2))))) # label(fact_540_split__weak__cong) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 602 (all C_1 all P_1 all Q_2 (P_1 = Q_2 -> (hBOOL(hAPP_P659547099r_bool(hAPP_f252398939r_bool(produc1324280167r_bool,C_1),P_1)) <-> hBOOL(hAPP_P659547099r_bool(hAPP_f252398939r_bool(produc1324280167r_bool,C_1),Q_2))))) # label(fact_541_split__weak__cong) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 603 (all C_1 all P_1 all Q_2 (P_1 = Q_2 -> (hBOOL(hAPP_P1680401186r_bool(hAPP_f952817385r_bool(produc723279022r_bool,C_1),P_1)) <-> hBOOL(hAPP_P1680401186r_bool(hAPP_f952817385r_bool(produc723279022r_bool,C_1),Q_2))))) # label(fact_542_split__weak__cong) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 604 (all C_1 all P_1 all Q_2 (P_1 = Q_2 -> (hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,C_1),P_1)) <-> hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,C_1),Q_2))))) # label(fact_543_split__weak__cong) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 605 (all C_1 all P_1 all Q_2 (P_1 = Q_2 -> (hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,C_1),P_1)) <-> hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,C_1),Q_2))))) # label(fact_544_split__weak__cong) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 606 (all C_1 all P_1 all Q_2 (P_1 = Q_2 -> (hBOOL(hAPP_P929938951l_bool(hAPP_f1534412387l_bool(produc769963999l_bool,C_1),P_1)) <-> hBOOL(hAPP_P929938951l_bool(hAPP_f1534412387l_bool(produc769963999l_bool,C_1),Q_2))))) # label(fact_545_split__weak__cong) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 607 (all C_1 all P_1 all Q_2 (P_1 = Q_2 -> (hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,C_1),P_1)) <-> hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,C_1),Q_2))))) # label(fact_546_split__weak__cong) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 608 (all C_1 all P_1 all Q_2 (P_1 = Q_2 -> (hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,C_1),P_1)) <-> hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,C_1),Q_2))))) # label(fact_547_split__weak__cong) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 609 (all C_1 all P_1 all Q_2 (P_1 = Q_2 -> (hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,C_1),P_1)) <-> hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,C_1),Q_2))))) # label(fact_548_split__weak__cong) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 610 (all C_1 all P_1 all Q_2 (P_1 = Q_2 -> (hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,C_1),P_1)) <-> hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,C_1),Q_2))))) # label(fact_549_split__weak__cong) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 611 (all C_1 all P_1 all Q_2 (P_1 = Q_2 -> (hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,C_1),P_1)) <-> hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,C_1),Q_2))))) # label(fact_550_split__weak__cong) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 612 (all C_1 all P_1 all Q_2 (P_1 = Q_2 -> (hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,C_1),P_1)) <-> hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,C_1),Q_2))))) # label(fact_551_split__weak__cong) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 613 (all C_1 all P_1 all Q_2 (P_1 = Q_2 -> (hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,C_1),P_1)) <-> hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,C_1),Q_2))))) # label(fact_552_split__weak__cong) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 614 (all C_1 all P_1 all Q_2 (P_1 = Q_2 -> (hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,C_1),P_1)) <-> hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,C_1),Q_2))))) # label(fact_553_split__weak__cong) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 615 (all C_1 all P_1 all Q_2 (P_1 = Q_2 -> (hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,C_1),P_1)) <-> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,C_1),Q_2))))) # label(fact_554_split__weak__cong) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 616 (all C_1 all P_1 all Q_2 (P_1 = Q_2 -> hAPP_P1228500987ion_ty(hAPP_f46308763ion_ty(produc907433735ion_ty,C_1),P_1) = hAPP_P1228500987ion_ty(hAPP_f46308763ion_ty(produc907433735ion_ty,C_1),Q_2))) # label(fact_555_split__weak__cong) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 617 (all C_1 all P_1 all Q_2 (P_1 = Q_2 -> hAPP_P841862366ar_val(hAPP_f1295640803ar_val(produc1553344466ar_val,C_1),P_1) = hAPP_P841862366ar_val(hAPP_f1295640803ar_val(produc1553344466ar_val,C_1),Q_2))) # label(fact_556_split__weak__cong) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 618 (all F all G all P_1 (hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F),hAPP_P294971854on_val(hAPP_f1090181127on_val(produc996400752on_val,G),P_1))) <-> hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,hAPP_f1150574413l_bool(hAPP_f295212021l_bool(cOMBB_1150072860ol_bop,hAPP_f1936466825l_bool(cOMBB_840638159al_val,hAPP_f2121594859l_bool(produc1958875245l_bool,F))),G)),P_1)))) # label(fact_557_split__twice) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 619 (all F all G all P_1 (hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F),hAPP_P214139537on_val(hAPP_f1679543815on_val(produc2083294131on_val,G),P_1))) <-> hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,hAPP_f1339377933r_bool(hAPP_f1165187701r_bool(cOMBB_1124198201st_val,hAPP_f106757449r_bool(cOMBB_1539035119t_char,hAPP_f2121594859l_bool(produc1958875245l_bool,F))),G)),P_1)))) # label(fact_558_split__twice) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 620 (all F all G all P_1 (hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F),hAPP_P216502748on_val(hAPP_f505735499on_val(produc534648062on_val,G),P_1))) <-> hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,hAPP_f1944156365r_bool(hAPP_f918235057r_bool(cOMBB_1843549548ist_ty,hAPP_f1346522053r_bool(cOMBB_1115744685t_char,hAPP_f2121594859l_bool(produc1958875245l_bool,F))),G)),P_1)))) # label(fact_559_split__twice) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 621 (all F all G all P_1 (hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F),hAPP_P94592612on_val(hAPP_f2030092415on_val(produc726497362on_val,G),P_1))) <-> hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,hAPP_f829041291r_bool(hAPP_f1691034591r_bool(cOMBB_889837233t_char,hAPP_f1096084527r_bool(cOMBB_1980206754t_char,hAPP_f2121594859l_bool(produc1958875245l_bool,F))),G)),P_1)))) # label(fact_560_split__twice) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 622 (all F all G all P_1 (hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F),hAPP_P1892658174on_val(hAPP_f797861231on_val(produc1450794278on_val,G),P_1))) <-> hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,hAPP_f896993613l_bool(hAPP_f219814819l_bool(cOMBB_143000234t_char,hAPP_f1825030711l_bool(cOMBB_877741809on_val,hAPP_f2121594859l_bool(produc1958875245l_bool,F))),G)),P_1)))) # label(fact_561_split__twice) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 623 (all F all G all P_1 (hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F),hAPP_P931655063on_val(hAPP_f599509029on_val(produc653117369on_val,G),P_1))) <-> hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,hAPP_f1909521165l_bool(hAPP_f1779944471l_bool(cOMBB_607314500on_val,hAPP_f2131288811l_bool(cOMBB_1173566976on_val,hAPP_f2121594859l_bool(produc1958875245l_bool,F))),G)),P_1)))) # label(fact_562_split__twice) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 624 (all F all G all P_1 (hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F),hAPP_P789556885on_val(hAPP_f1520199827on_val(produc1174947465on_val,G),P_1))) <-> hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,hAPP_f653692369l_bool(hAPP_f516738477l_bool(cOMBB_819439237t_char,hAPP_f1825030711l_bool(cOMBB_877741809on_val,hAPP_f2121594859l_bool(produc1958875245l_bool,F))),G)),P_1)))) # label(fact_563_split__twice) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 625 (all F all G all P_1 (hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F),hAPP_P1760219823on_val(hAPP_f394183983on_val(produc1003071703on_val,G),P_1))) <-> hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,hAPP_f1241216909l_bool(hAPP_f1438732387l_bool(cOMBB_635947099on_val,hAPP_f881985847l_bool(cOMBB_1083177073on_val,hAPP_f2121594859l_bool(produc1958875245l_bool,F))),G)),P_1)))) # label(fact_564_split__twice) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 626 (all F all G all P_1 hAPP_P841862366ar_val(hAPP_f1295640803ar_val(produc1553344466ar_val,F),hAPP_P71962758har_ty(hAPP_f909647877har_ty(produc2074304634har_ty,G),P_1)) = hAPP_P1057393871ar_val(hAPP_f528845893ar_val(produc2026840771ar_val,hAPP_f1286352408ar_val(hAPP_f922986761ar_val(cOMBB_491542469t_char,hAPP_f1061710805ar_val(cOMBB_239784108val_ty,hAPP_f1295640803ar_val(produc1553344466ar_val,F))),G)),P_1)) # label(fact_565_split__twice) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 627 (all F all G all P_1 hAPP_P1409535266har_ty(hAPP_f533118691har_ty(produc1582135574har_ty,F),hAPP_P841862366ar_val(hAPP_f1295640803ar_val(produc1553344466ar_val,G),P_1)) = hAPP_P385447595har_ty(hAPP_f513000995har_ty(produc499452831har_ty,hAPP_f1820012432har_ty(hAPP_f1720458941har_ty(cOMBB_424865560t_char,hAPP_f393578581har_ty(cOMBB_1320677736_ty_ty,hAPP_f533118691har_ty(produc1582135574har_ty,F))),G)),P_1)) # label(fact_566_split__twice) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 628 (all F all G all P_1 (hBOOL(hAPP_P1070896250l_bool(hAPP_f1663301111l_bool(produc1873777030l_bool,F),hAPP_P841862366ar_val(hAPP_f1295640803ar_val(produc1553344466ar_val,G),P_1))) <-> hBOOL(hAPP_P27757617y_bool(hAPP_f201105125y_bool(produc1851383869y_bool,hAPP_f1796274104y_bool(hAPP_f1589954605y_bool(cOMBB_1380239526t_char,hAPP_f1391360361y_bool(cOMBB_1881684336ool_ty,hAPP_f1663301111l_bool(produc1873777030l_bool,F))),G)),P_1)))) # label(fact_567_split__twice) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 629 (all F all G all P_1 (hBOOL(hAPP_P748443392y_bool(hAPP_f695389733y_bool(produc1322037260y_bool,F),hAPP_P1571579700har_ty(hAPP_f1301228297har_ty(produc1250213160har_ty,G),P_1))) <-> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f1617838686l_bool(hAPP_f1740025881l_bool(cOMBB_1511810527on_val,hAPP_f86617653l_bool(cOMBB_165135181on_val,hAPP_f695389733y_bool(produc1322037260y_bool,F))),G)),P_1)))) # label(fact_568_split__twice) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 630 (all F all G all P_1 (hBOOL(hAPP_P1070896250l_bool(hAPP_f1663301111l_bool(produc1873777030l_bool,F),hAPP_P1143488942ar_val(hAPP_f1942188169ar_val(produc305181602ar_val,G),P_1))) <-> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f1812276580l_bool(hAPP_f1292837529l_bool(cOMBB_238112345on_val,hAPP_f975490601l_bool(cOMBB_844549459on_val,hAPP_f1663301111l_bool(produc1873777030l_bool,F))),G)),P_1)))) # label(fact_569_split__twice) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 631 (all F all G all P_1 (hBOOL(hAPP_P2014166431r_bool(hAPP_f1484794973r_bool(produc1732333873r_bool,F),hAPP_P1849356627t_char(hAPP_f1865872201t_char(produc1034582855t_char,G),P_1))) <-> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f1351102847l_bool(hAPP_f1342439769l_bool(cOMBB_225914878on_val,hAPP_f99607667l_bool(cOMBB_1334418926on_val,hAPP_f1484794973r_bool(produc1732333873r_bool,F))),G)),P_1)))) # label(fact_570_split__twice) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 632 (all F all G all P_1 (hBOOL(hAPP_P828904212r_bool(hAPP_f895126887r_bool(produc1596557472r_bool,F),hAPP_P256420168t_char(hAPP_f2107248649t_char(produc1842330940t_char,G),P_1))) <-> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f337607754l_bool(hAPP_f1546157465l_bool(cOMBB_955482355on_val,hAPP_f1809473245l_bool(cOMBB_1452070457on_val,hAPP_f895126887r_bool(produc1596557472r_bool,F))),G)),P_1)))) # label(fact_571_split__twice) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 633 (all F all G all P_1 (hBOOL(hAPP_P659547099r_bool(hAPP_f252398939r_bool(produc1324280167r_bool,F),hAPP_P1548494223t_char(hAPP_f681548873t_char(produc2036010883t_char,G),P_1))) <-> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f1525647939l_bool(hAPP_f1338219097l_bool(cOMBB_2122619962on_val,hAPP_f2114578667l_bool(cOMBB_914590898on_val,hAPP_f252398939r_bool(produc1324280167r_bool,F))),G)),P_1)))) # label(fact_572_split__twice) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 634 (all F all G all P_1 (hBOOL(hAPP_P1680401186r_bool(hAPP_f952817385r_bool(produc723279022r_bool,F),hAPP_P894177366t_char(hAPP_f1644828553t_char(produc323997770t_char,G),P_1))) <-> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f1158121916l_bool(hAPP_f527861785l_bool(cOMBB_625124865on_val,hAPP_f1566130425l_bool(cOMBB_247395499on_val,hAPP_f952817385r_bool(produc723279022r_bool,F))),G)),P_1)))) # label(fact_573_split__twice) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 635 (all F all G all P_1 (hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,F),hAPP_P193916115t_char(hAPP_f15579599t_char(produc576623071t_char,G),P_1))) <-> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f1996106275l_bool(hAPP_f1550515381l_bool(cOMBB_2040779506on_val,hAPP_f1804599279l_bool(cOMBB_678146046on_val,hAPP_f2132060507r_bool(produc1704639885r_bool,F))),G)),P_1)))) # label(fact_574_split__twice) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 636 (all F all G all P_1 (hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,F),hAPP_P1936714534on_val(hAPP_f1271281289on_val(produc928527642on_val,G),P_1))) <-> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f1145600492l_bool(hAPP_f630712985l_bool(cOMBB_1962662865on_val,hAPP_f2020099865l_bool(cOMBB_1543649755on_val,hAPP_f1443410953l_bool(produc392960766l_bool,F))),G)),P_1)))) # label(fact_575_split__twice) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.57 637 (all F all G all P_1 (hBOOL(hAPP_P929938951l_bool(hAPP_f1534412387l_bool(produc769963999l_bool,F),hAPP_P2013623467al_val(hAPP_f902010623al_val(produc1260869559al_val,G),P_1))) <-> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f1153851723l_bool(hAPP_f151189509l_bool(cOMBB_223841226on_val,hAPP_f1589017327l_bool(cOMBB_558176806on_val,hAPP_f1534412387l_bool(produc769963999l_bool,F))),G)),P_1)))) # label(fact_576_split__twice) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 638 (all F all G all P_1 (hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,F),hAPP_P1067836940al_val(hAPP_f928795841al_val(produc234747160al_val,G),P_1))) <-> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f828778154l_bool(hAPP_f1572306499l_bool(cOMBB_1210977579on_val,hAPP_f1777594159l_bool(cOMBB_448128005on_val,hAPP_f340876351l_bool(produc1326056646l_bool,F))),G)),P_1)))) # label(fact_577_split__twice) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 639 (all F all G all P_1 (hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,F),hAPP_P1871645065t_char(hAPP_f2116844091t_char(produc1139048085t_char,G),P_1))) <-> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f1576637933l_bool(hAPP_f154583625l_bool(cOMBB_335252392on_val,hAPP_f737797743l_bool(cOMBB_1733006024on_val,hAPP_f1697332217r_bool(produc21910851r_bool,F))),G)),P_1)))) # label(fact_578_split__twice) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 640 (all F all G all P_1 (hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,F),hAPP_P616991870t_char(hAPP_f1401070501t_char(produc493500298t_char,G),P_1))) <-> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f1121261496l_bool(hAPP_f1331093087l_bool(cOMBB_1472123293on_val,hAPP_f962366127l_bool(cOMBB_95569939on_val,hAPP_f102021095r_bool(produc154616760r_bool,F))),G)),P_1)))) # label(fact_579_split__twice) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 641 (all F all G all P_1 (hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,F),hAPP_P1849522950t_char(hAPP_f314126729t_char(produc1597824762t_char,G),P_1))) <-> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f1089411340l_bool(hAPP_f2012169497l_bool(cOMBB_1443356337on_val,hAPP_f764883801l_bool(cOMBB_1837440507on_val,hAPP_f1613448899r_bool(produc2027921764r_bool,F))),G)),P_1)))) # label(fact_580_split__twice) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 642 (all F all G all P_1 (hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,F),hAPP_P1963616220on_val(hAPP_f1027788897on_val(produc1202869992on_val,G),P_1))) <-> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f556306650l_bool(hAPP_f1538372259l_bool(cOMBB_157777659on_val,hAPP_f1000925999l_bool(cOMBB_1466435125on_val,hAPP_f1634841927l_bool(produc1491230096l_bool,F))),G)),P_1)))) # label(fact_581_split__twice) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 643 (all F all G all P_1 (hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,F),hAPP_P963849987on_val(hAPP_f1239545903on_val(produc1476705295on_val,G),P_1))) <-> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f1505175539l_bool(hAPP_f924423253l_bool(cOMBB_1330725154on_val,hAPP_f28987375l_bool(cOMBB_132741582on_val,hAPP_f1525114763l_bool(produc70644925l_bool,F))),G)),P_1)))) # label(fact_582_split__twice) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 644 (all F all G all P_1 (hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,F),hAPP_P604205461on_val(hAPP_f1309113673on_val(produc901351817on_val,G),P_1))) <-> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f850751421l_bool(hAPP_f399538905l_bool(cOMBB_1466889536on_val,hAPP_f1233687287l_bool(cOMBB_171276332on_val,hAPP_f1930574389l_bool(produc1815960045l_bool,F))),G)),P_1)))) # label(fact_583_split__twice) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 645 (all F all G all P_1 (hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,F),hAPP_P2024243179on_val(hAPP_f204556415on_val(produc1148763895on_val,G),P_1))) <-> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f927043595l_bool(hAPP_f1043869573l_bool(cOMBB_1259202826on_val,hAPP_f2052660463l_bool(cOMBB_1292453606on_val,hAPP_f635218277l_bool(produc1911463199l_bool,F))),G)),P_1)))) # label(fact_584_split__twice) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 646 (all F all G all P_1 hAPP_P532450504ar_val(hAPP_f65736581ar_val(produc615345852ar_val,F),hAPP_P385447595har_ty(hAPP_f513000995har_ty(produc499452831har_ty,G),P_1)) = hAPP_P841862366ar_val(hAPP_f1295640803ar_val(produc1553344466ar_val,hAPP_f1582750480ar_val(hAPP_f1761801623ar_val(cOMBB_510504510t_char,hAPP_f1675912277ar_val(cOMBB_351318850val_ty,hAPP_f65736581ar_val(produc615345852ar_val,F))),G)),P_1)) # label(fact_585_split__twice) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 647 (all Pa all Q_1 all X_1 (hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f555424277l_bool(hAPP_f1734879897l_bool(cOMBB_1522540928on_val,hAPP_f1863694447l_bool(cOMBB_383678192on_val,hAPP_b589554111l_bool(fconj,Pa))),Q_1)),X_1)) <-> hBOOL(Pa) & hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,Q_1),X_1)))) # label(fact_586_split__part) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 648 (all F all A all B (hBOOL(hAPP_P1070896250l_bool(hAPP_f1663301111l_bool(produc1873777030l_bool,F),hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A),B))) -> hBOOL(hAPP_val_bool(hAPP_P486515074l_bool(F,A),B)))) # label(fact_587_splitD) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 649 (all F all A all B (hBOOL(hAPP_P2014166431r_bool(hAPP_f1484794973r_bool(produc1732333873r_bool,F),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A),B))) -> hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(F,A),B)))) # label(fact_588_splitD) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 650 (all F all A all B (hBOOL(hAPP_P828904212r_bool(hAPP_f895126887r_bool(produc1596557472r_bool,F),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A),B))) -> hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(F,A),B)))) # label(fact_589_splitD) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 651 (all F all A all B (hBOOL(hAPP_P659547099r_bool(hAPP_f252398939r_bool(produc1324280167r_bool,F),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A),B))) -> hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(F,A),B)))) # label(fact_590_splitD) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 652 (all F all A all B (hBOOL(hAPP_P1680401186r_bool(hAPP_f952817385r_bool(produc723279022r_bool,F),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A),B))) -> hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(F,A),B)))) # label(fact_591_splitD) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 653 (all F all A all B (hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,F),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B))) -> hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(F,A),B)))) # label(fact_592_splitD) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 654 (all F all A all B (hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,F),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B))) -> hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(F,A),B)))) # label(fact_593_splitD) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 655 (all F all A all B (hBOOL(hAPP_P929938951l_bool(hAPP_f1534412387l_bool(produc769963999l_bool,F),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B))) -> hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(F,A),B)))) # label(fact_594_splitD) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 656 (all F all A all B (hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,F),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A),B))) -> hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(F,A),B)))) # label(fact_595_splitD) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 657 (all F all A all B (hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,F),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A),B))) -> hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(F,A),B)))) # label(fact_596_splitD) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 658 (all F all A all B (hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,F),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A),B))) -> hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(F,A),B)))) # label(fact_597_splitD) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 659 (all F all A all B (hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,F),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A),B))) -> hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(F,A),B)))) # label(fact_598_splitD) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 660 (all F all A all B (hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,F),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A),B))) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(F,A),B)))) # label(fact_599_splitD) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 661 (all F all A all B (hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,F),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B))) -> hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(F,A),B)))) # label(fact_600_splitD) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 662 (all F all A all B (hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,F),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A),B))) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(F,A),B)))) # label(fact_601_splitD) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 663 (all F all A all B (hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,F),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B))) -> hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(F,A),B)))) # label(fact_602_splitD) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 664 (all F all A all B (hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B))) -> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F,A),B)))) # label(fact_603_splitD) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 665 (all F1 all A all B hAPP_P841862366ar_val(hAPP_f1295640803ar_val(produc1553344466ar_val,F1),hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A),B)) = hAPP_t97533526ar_val(hAPP_P221287148ar_val(F1,A),B)) # label(fact_604_prod_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 666 (all F1 all A all B hAPP_P1228500987ion_ty(hAPP_f46308763ion_ty(produc907433735ion_ty,F1),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B)) = hAPP_f652398900ion_ty(hAPP_l2000496933ion_ty(F1,A),B)) # label(fact_605_prod_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 667 (all F1 all A all B (hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B))) <-> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F1,A),B)))) # label(fact_606_prod_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 668 (all F all A all B hAPP_P841862366ar_val(hAPP_f1295640803ar_val(produc1553344466ar_val,F),hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A),B)) = hAPP_t97533526ar_val(hAPP_P221287148ar_val(F,A),B)) # label(fact_607_split__conv) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 669 (all F all A all B hAPP_P1228500987ion_ty(hAPP_f46308763ion_ty(produc907433735ion_ty,F),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B)) = hAPP_f652398900ion_ty(hAPP_l2000496933ion_ty(F,A),B)) # label(fact_608_split__conv) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 670 (all F all A all B (hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B))) <-> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F,A),B)))) # label(fact_609_split__conv) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 671 (all Exp1_95 all List1_31 all List2_31 all Exp2_95 all Val_11 fAss_list_char(Exp1_95,List1_31,List2_31,Exp2_95) != hAPP_v834067052t_char(val_list_char,Val_11)) # label(fact_610_exp_Osimps_I79_J) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 672 (all Val_10 all Exp1_94 all List1_30 all List2_30 all Exp2_94 hAPP_v834067052t_char(val_list_char,Val_10) != fAss_list_char(Exp1_94,List1_30,List2_30,Exp2_94)) # label(fact_611_exp_Osimps_I78_J) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 673 (all Exp_47 all List1_29 all List2_29 all Val_9 fAcc_list_char(Exp_47,List1_29,List2_29) != hAPP_v834067052t_char(val_list_char,Val_9)) # label(fact_612_exp_Osimps_I77_J) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 674 (all Val_8 all Exp_46 all List1_28 all List2_28 hAPP_v834067052t_char(val_list_char,Val_8) != fAcc_list_char(Exp_46,List1_28,List2_28)) # label(fact_613_exp_Osimps_I76_J) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 675 (all Exp1_93 all List1_27 all List2_27 all Exp2_93 all Exp_45 fAss_list_char(Exp1_93,List1_27,List2_27,Exp2_93) != throw_list_char(Exp_45)) # label(fact_614_exp_Osimps_I180_J) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 676 (all Exp_44 all Exp1_92 all List1_26 all List2_26 all Exp2_92 throw_list_char(Exp_44) != fAss_list_char(Exp1_92,List1_26,List2_26,Exp2_92)) # label(fact_615_exp_Osimps_I181_J) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 677 (all Eb all E_1 all E_2 all S 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(Eb),E_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),red(Pa)))) # label(fact_616_red__reds_OCondThrow) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 678 (all Exp_43 all List1_25 all List2_25 all Exp_42 fAcc_list_char(Exp_43,List1_25,List2_25) != throw_list_char(Exp_42)) # label(fact_617_exp_Osimps_I166_J) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 679 (all Exp_41 all Exp_40 all List1_24 all List2_24 throw_list_char(Exp_41) != fAcc_list_char(Exp_40,List1_24,List2_24)) # label(fact_618_exp_Osimps_I167_J) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 680 (all Exp1_91 all List1_23 all List2_23 all Exp2_91 all Exp1_90 all Exp2_90 all Exp3_11 fAss_list_char(Exp1_91,List1_23,List2_23,Exp2_91) != cond_list_char(Exp1_90,Exp2_90,Exp3_11)) # label(fact_619_exp_Osimps_I176_J) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 681 (all Exp1_89 all List1_22 all List2_22 all Exp2_89 all Exp1_88 all Exp2_88 fAss_list_char(Exp1_89,List1_22,List2_22,Exp2_89) != while_list_char(Exp1_88,Exp2_88)) # label(fact_620_exp_Osimps_I178_J) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 682 (all Exp1_87 all Exp2_87 all Exp3_10 all Exp1_86 all List1_21 all List2_21 all Exp2_86 cond_list_char(Exp1_87,Exp2_87,Exp3_10) != fAss_list_char(Exp1_86,List1_21,List2_21,Exp2_86)) # label(fact_621_exp_Osimps_I177_J) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 683 (all Exp1_85 all Exp2_85 all Exp1_84 all List1_20 all List2_20 all Exp2_84 while_list_char(Exp1_85,Exp2_85) != fAss_list_char(Exp1_84,List1_20,List2_20,Exp2_84)) # label(fact_622_exp_Osimps_I179_J) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 684 (all Exp_39 all List1_19 all List2_19 all Exp1_83 all Exp2_83 all Exp3_9 fAcc_list_char(Exp_39,List1_19,List2_19) != cond_list_char(Exp1_83,Exp2_83,Exp3_9)) # label(fact_623_exp_Osimps_I162_J) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 685 (all Exp1_82 all Exp2_82 all Exp3_8 all Exp_38 all List1_18 all List2_18 cond_list_char(Exp1_82,Exp2_82,Exp3_8) != fAcc_list_char(Exp_38,List1_18,List2_18)) # label(fact_624_exp_Osimps_I163_J) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 686 (all Exp_37 all List1_17 all List2_17 all Exp1_81 all Exp2_81 fAcc_list_char(Exp_37,List1_17,List2_17) != while_list_char(Exp1_81,Exp2_81)) # label(fact_625_exp_Osimps_I164_J) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 687 (all Exp1_80 all Exp2_80 all Exp_36 all List1_16 all List2_16 while_list_char(Exp1_80,Exp2_80) != fAcc_list_char(Exp_36,List1_16,List2_16)) # label(fact_626_exp_Osimps_I165_J) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 688 (all F hAPP_f1295640803ar_val(produc1553344466ar_val,hAPP_f2096521338ar_val(hAPP_f1210767211ar_val(cOMBB_1905001812t_char,hAPP_f1061710805ar_val(cOMBB_239784108val_ty,F)),produc1265154397har_ty)) = F) # label(fact_627_split__eta) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 689 (all F hAPP_f46308763ion_ty(produc907433735ion_ty,hAPP_f802560783ion_ty(hAPP_f7643013ion_ty(cOMBB_864319000t_char,hAPP_f69964139ion_ty(cOMBB_2041093409on_val,F)),produc823076510on_val)) = F) # label(fact_628_split__eta) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 690 (all F hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f1363667773l_bool(hAPP_f1050935001l_bool(cOMBB_1153617344on_val,hAPP_f2057883639l_bool(cOMBB_1750801836on_val,F)),produc899768717on_val)) = F) # label(fact_629_split__eta) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 691 (all V_1 all Fa all Da all Eb all S 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_1),Fa,Da,throw_list_char(Eb))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),red(Pa)))) # label(fact_630_red__reds_OFAssThrow2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 692 (all Eb all S all E_b all S_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),red(Pa))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E_b)),S_2)),red(Pa))))) # label(fact_631_red__reds_OThrowRed) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 693 (all Eb all S 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(Eb))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),red(Pa)))) # label(fact_632_red__reds_OThrowThrow) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 694 (all E_1 all E_2 all Eb all S all E_b all S_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),red(Pa))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(Eb,E_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(E_b,E_1,E_2)),S_2)),red(Pa))))) # label(fact_633_red__reds_OCondRed) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 695 (all Eb all Fa all Da all E_2 all S 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(Eb),Fa,Da,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),red(Pa)))) # label(fact_634_red__reds_OFAssThrow1) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 696 (all Pa all Hb all Ea all Eb all C_1 all Ta (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,while_list_char(Eb,C_1)),Ta)) -> -(Ta = void -> (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),boolean)) -> (all T_3 -hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,C_1),T_3))))))) # label(fact_635_WTrt__elim__cases_I3_J) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 697 (all Pa all Hb all Ea all Eb all E_1 all E_2 all Ta (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,cond_list_char(Eb,E_1,E_2)),Ta)) -> -(hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),boolean)) -> (all T_1_1 (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,E_1),T_1_1)) -> (all T_2_1 (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,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(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_2_1),T_1_1)) -> ((hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_1_1),T_2_1)) -> Ta = T_2_1) -> -(hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_2_1),T_1_1)) -> Ta = T_1_1)))))))))) # label(fact_636_WTrt__elim__cases_I2_J) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 698 (all Fa all Da all E_2 all Eb all S_2_1 all E_1 all S_0 all V_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,E_1),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_1)),S_1)),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)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),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,Fa,Da,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S_2_1)),transi2024712006on_val(red(Pa))))))) # label(fact_637_FAssRedsThrow2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 699 (all C_1 all B all S all Eb all S_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S_2)),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_1)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S_2)),transi2024712006on_val(red(Pa)))))) # label(fact_638_WhileRedsThrow) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 700 (all Fa all Da all Eb all S all A all S_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2)),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(Eb,Fa,Da)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2)),transi2024712006on_val(red(Pa)))))) # label(fact_639_FAccRedsThrow) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 701 (all E_1 all E_2 all Eb all S all A all S_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2)),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(Eb,E_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2)),transi2024712006on_val(red(Pa)))))) # label(fact_640_CondRedsThrow) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 702 (all Fa all Da all E_2 all Eb all S all E_b all S_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E_b)),S_2)),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(Eb,Fa,Da,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E_b)),S_2)),transi2024712006on_val(red(Pa)))))) # label(fact_641_FAssRedsThrow1) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 703 (all V_1 all Fa all Da all Eb all S all E_b all S_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),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_1),Fa,Da,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,V_1),Fa,Da,E_b)),S_2)),transi2024712006on_val(red(Pa)))))) # label(fact_642_FAssReds2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 704 (all C_1 all P_1 (hBOOL(hAPP_P1070896250l_bool(hAPP_f1663301111l_bool(produc1873777030l_bool,C_1),P_1)) -> -(all X_1 all Y_1 (P_1 = hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,X_1),Y_1) -> -hBOOL(hAPP_val_bool(hAPP_P486515074l_bool(C_1,X_1),Y_1)))))) # label(fact_643_splitE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 705 (all C_1 all P_1 (hBOOL(hAPP_P2014166431r_bool(hAPP_f1484794973r_bool(produc1732333873r_bool,C_1),P_1)) -> -(all X_1 all Y_1 (P_1 = hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,X_1),Y_1) -> -hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(C_1,X_1),Y_1)))))) # label(fact_644_splitE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 706 (all C_1 all P_1 (hBOOL(hAPP_P828904212r_bool(hAPP_f895126887r_bool(produc1596557472r_bool,C_1),P_1)) -> -(all X_1 all Y_1 (P_1 = hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,X_1),Y_1) -> -hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(C_1,X_1),Y_1)))))) # label(fact_645_splitE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 707 (all C_1 all P_1 (hBOOL(hAPP_P659547099r_bool(hAPP_f252398939r_bool(produc1324280167r_bool,C_1),P_1)) -> -(all X_1 all Y_1 (P_1 = hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,X_1),Y_1) -> -hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(C_1,X_1),Y_1)))))) # label(fact_646_splitE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 708 (all C_1 all P_1 (hBOOL(hAPP_P1680401186r_bool(hAPP_f952817385r_bool(produc723279022r_bool,C_1),P_1)) -> -(all X_1 all Y_1 (P_1 = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,X_1),Y_1) -> -hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(C_1,X_1),Y_1)))))) # label(fact_647_splitE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 709 (all C_1 all P_1 (hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,C_1),P_1)) -> -(all X_1 all Y_1 (P_1 = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,X_1),Y_1) -> -hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(C_1,X_1),Y_1)))))) # label(fact_648_splitE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 710 (all C_1 all P_1 (hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,C_1),P_1)) -> -(all X_1 all Y_1 (P_1 = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,X_1),Y_1) -> -hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(C_1,X_1),Y_1)))))) # label(fact_649_splitE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 711 (all C_1 all P_1 (hBOOL(hAPP_P929938951l_bool(hAPP_f1534412387l_bool(produc769963999l_bool,C_1),P_1)) -> -(all X_1 all Y_1 (P_1 = hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,X_1),Y_1) -> -hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(C_1,X_1),Y_1)))))) # label(fact_650_splitE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 712 (all C_1 all P_1 (hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,C_1),P_1)) -> -(all X_1 all Y_1 (is_bop(X_1) -> (P_1 = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,X_1),Y_1) -> -hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(C_1,X_1),Y_1))))))) # label(fact_651_splitE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 713 (all C_1 all P_1 (hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,C_1),P_1)) -> -(all X_1 all Y_1 (P_1 = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,X_1),Y_1) -> -hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(C_1,X_1),Y_1)))))) # label(fact_652_splitE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 714 (all C_1 all P_1 (hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,C_1),P_1)) -> -(all X_1 all Y_1 (P_1 = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,X_1),Y_1) -> -hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(C_1,X_1),Y_1)))))) # label(fact_653_splitE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 715 (all C_1 all P_1 (hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,C_1),P_1)) -> -(all X_1 all Y_1 (P_1 = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,X_1),Y_1) -> -hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(C_1,X_1),Y_1)))))) # label(fact_654_splitE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 716 (all C_1 all P_1 (hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,C_1),P_1)) -> -(all X_1 all Y_1 (P_1 = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,X_1),Y_1) -> -hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(C_1,X_1),Y_1)))))) # label(fact_655_splitE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 717 (all C_1 all P_1 (hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,C_1),P_1)) -> -(all X_1 all Y_1 (P_1 = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,X_1),Y_1) -> -hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(C_1,X_1),Y_1)))))) # label(fact_656_splitE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 718 (all C_1 all P_1 (hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,C_1),P_1)) -> -(all X_1 all Y_1 (P_1 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X_1),Y_1) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(C_1,X_1),Y_1)))))) # label(fact_657_splitE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 719 (all C_1 all P_1 (hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,C_1),P_1)) -> -(all X_1 all Y_1 (P_1 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X_1),Y_1) -> -hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(C_1,X_1),Y_1)))))) # label(fact_658_splitE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 720 (all C_1 all P_1 (hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,C_1),P_1)) -> -(all X_1 all Y_1 (P_1 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X_1),Y_1) -> -hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(C_1,X_1),Y_1)))))) # label(fact_659_splitE) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 721 (all C_1 all P_1 ((all A_1 all B_1 (P_1 = hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A_1),B_1) -> hBOOL(hAPP_val_bool(hAPP_P486515074l_bool(C_1,A_1),B_1)))) -> hBOOL(hAPP_P1070896250l_bool(hAPP_f1663301111l_bool(produc1873777030l_bool,C_1),P_1)))) # label(fact_660_splitI2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 722 (all C_1 all P_1 ((all A_1 all B_1 (P_1 = hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_1),B_1) -> hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(C_1,A_1),B_1)))) -> hBOOL(hAPP_P2014166431r_bool(hAPP_f1484794973r_bool(produc1732333873r_bool,C_1),P_1)))) # label(fact_661_splitI2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 723 (all C_1 all P_1 ((all A_1 all B_1 (P_1 = hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_1),B_1) -> hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(C_1,A_1),B_1)))) -> hBOOL(hAPP_P828904212r_bool(hAPP_f895126887r_bool(produc1596557472r_bool,C_1),P_1)))) # label(fact_662_splitI2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 724 (all C_1 all P_1 ((all A_1 all B_1 (P_1 = hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),B_1) -> hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(C_1,A_1),B_1)))) -> hBOOL(hAPP_P659547099r_bool(hAPP_f252398939r_bool(produc1324280167r_bool,C_1),P_1)))) # label(fact_663_splitI2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 725 (all C_1 all P_1 ((all A_1 all B_1 (P_1 = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),B_1) -> hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(C_1,A_1),B_1)))) -> hBOOL(hAPP_P1680401186r_bool(hAPP_f952817385r_bool(produc723279022r_bool,C_1),P_1)))) # label(fact_664_splitI2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 726 (all C_1 all P_1 ((all A_1 all B_1 (P_1 = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B_1) -> hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(C_1,A_1),B_1)))) -> hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,C_1),P_1)))) # label(fact_665_splitI2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 727 (all C_1 all P_1 ((all A_1 all B_1 (P_1 = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_1),B_1) -> hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(C_1,A_1),B_1)))) -> hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,C_1),P_1)))) # label(fact_666_splitI2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 728 (all C_1 all P_1 ((all A_1 all B_1 (P_1 = hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B_1) -> hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(C_1,A_1),B_1)))) -> hBOOL(hAPP_P929938951l_bool(hAPP_f1534412387l_bool(produc769963999l_bool,C_1),P_1)))) # label(fact_667_splitI2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 729 (all C_1 all P_1 ((all A_1 all B_1 (is_bop(A_1) -> (P_1 = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),B_1) -> hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(C_1,A_1),B_1))))) -> hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,C_1),P_1)))) # label(fact_668_splitI2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 730 (all C_1 all P_1 ((all A_1 all B_1 (P_1 = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_1),B_1) -> hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(C_1,A_1),B_1)))) -> hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,C_1),P_1)))) # label(fact_669_splitI2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 731 (all C_1 all P_1 ((all A_1 all B_1 (P_1 = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),B_1) -> hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(C_1,A_1),B_1)))) -> hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,C_1),P_1)))) # label(fact_670_splitI2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 732 (all C_1 all P_1 ((all A_1 all B_1 (P_1 = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),B_1) -> hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(C_1,A_1),B_1)))) -> hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,C_1),P_1)))) # label(fact_671_splitI2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 733 (all C_1 all P_1 ((all A_1 all B_1 (P_1 = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),B_1) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(C_1,A_1),B_1)))) -> hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,C_1),P_1)))) # label(fact_672_splitI2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 734 (all C_1 all P_1 ((all A_1 all B_1 (P_1 = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B_1) -> hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(C_1,A_1),B_1)))) -> hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,C_1),P_1)))) # label(fact_673_splitI2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 735 (all C_1 all P_1 ((all A_1 all B_1 (P_1 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),B_1) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(C_1,A_1),B_1)))) -> hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,C_1),P_1)))) # label(fact_674_splitI2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 736 (all C_1 all P_1 ((all A_1 all B_1 (P_1 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B_1) -> hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(C_1,A_1),B_1)))) -> hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,C_1),P_1)))) # label(fact_675_splitI2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 737 (all C_1 all P_1 ((all A_1 all B_1 (P_1 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_1),B_1) -> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(C_1,A_1),B_1)))) -> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,C_1),P_1)))) # label(fact_676_splitI2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 738 (all Eb all S all E_b all S_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),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(Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E_b)),S_2)),transi2024712006on_val(red(Pa)))))) # label(fact_677_ThrowReds) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 739 (all Eb all S all A all S_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2)),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(Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2)),transi2024712006on_val(red(Pa)))))) # label(fact_678_ThrowRedsThrow) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 740 (all Fa all Da all E_2 all Eb all S all E_b all S_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),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(Eb,Fa,Da,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(E_b,Fa,Da,E_2)),S_2)),transi2024712006on_val(red(Pa)))))) # label(fact_679_FAssReds1) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 741 (all E_1 all E_2 all Eb all S all E_b all S_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),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(Eb,E_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(E_b,E_1,E_2)),S_2)),transi2024712006on_val(red(Pa)))))) # label(fact_680_CondReds) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 742 (all Fa all Da all Eb all S all E_b all S_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),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(Eb,Fa,Da)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(E_b,Fa,Da)),S_2)),transi2024712006on_val(red(Pa)))))) # label(fact_681_FAccReds) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 743 (all A all R_1 hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),A),transi1395422419t_char(R_1)))) # label(fact_682_rtrancl_Ortrancl__refl) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 744 (all A all R_1 hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),A),transi374442731on_val(R_1)))) # label(fact_683_rtrancl_Ortrancl__refl) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 745 (all A all R_1 hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),A),transi2024712006on_val(R_1)))) # label(fact_684_rtrancl_Ortrancl__refl) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 746 (all A all R_1 hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),A),transi935034983cl_val(R_1)))) # label(fact_685_rtrancl_Ortrancl__refl) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 747 (all F all G ((all X_1 all Y_1 hAPP_t97533526ar_val(hAPP_P221287148ar_val(F,X_1),Y_1) = hAPP_P841862366ar_val(G,hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,X_1),Y_1))) -> hAPP_f1295640803ar_val(produc1553344466ar_val,F) = G)) # label(fact_686_cond__split__eta) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 748 (all F all G ((all X_1 all Y_1 hAPP_f652398900ion_ty(hAPP_l2000496933ion_ty(F,X_1),Y_1) = hAPP_P1228500987ion_ty(G,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,X_1),Y_1))) -> hAPP_f46308763ion_ty(produc907433735ion_ty,F) = G)) # label(fact_687_cond__split__eta) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 749 (all G all F ((all X_1 all Y_1 (hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F,X_1),Y_1)) <-> hBOOL(hAPP_P159683425l_bool(G,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X_1),Y_1))))) -> hAPP_f2121594859l_bool(produc1958875245l_bool,F) = G)) # label(fact_688_cond__split__eta) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 750 (all P_1 all R_1 (hBOOL(member1251428284t_char(P_1,R_1)) -> hBOOL(member1251428284t_char(P_1,transi1395422419t_char(R_1))))) # label(fact_689_r__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 751 (all P_1 all R_1 (hBOOL(member875476972on_val(P_1,R_1)) -> hBOOL(member875476972on_val(P_1,transi374442731on_val(R_1))))) # label(fact_690_r__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 752 (all P_1 all R_1 (hBOOL(member773094996on_val(P_1,R_1)) -> hBOOL(member773094996on_val(P_1,transi2024712006on_val(R_1))))) # label(fact_691_r__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 753 (all C_1 all Eb all S_2_1 all B all S_0 all S_1 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)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,C_1),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),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_1)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S_2_1)),transi2024712006on_val(red(Pa))))))) # label(fact_692_WhileTRedsThrow) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 754 (all Q_1 all Pa all Z_1 (hBOOL(hAPP_P1070896250l_bool(Q_1,hAPP_P841862366ar_val(hAPP_f1295640803ar_val(produc1553344466ar_val,Pa),Z_1))) -> -(all X_1 all Y_1 (Z_1 = hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,X_1),Y_1) -> -hBOOL(hAPP_P1070896250l_bool(Q_1,hAPP_t97533526ar_val(hAPP_P221287148ar_val(Pa,X_1),Y_1))))))) # label(fact_693_splitE2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 755 (all Q_1 all Pa all Z_1 (hBOOL(hAPP_option_ty_bool(Q_1,hAPP_P1228500987ion_ty(hAPP_f46308763ion_ty(produc907433735ion_ty,Pa),Z_1))) -> -(all X_1 all Y_1 (Z_1 = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,X_1),Y_1) -> -hBOOL(hAPP_option_ty_bool(Q_1,hAPP_f652398900ion_ty(hAPP_l2000496933ion_ty(Pa,X_1),Y_1))))))) # label(fact_694_splitE2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 756 (all Q_1 all Pa all Z_1 (hBOOL(hAPP_bool_bool(Q_1,hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,Pa),Z_1))) -> -(all X_1 all Y_1 (Z_1 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X_1),Y_1) -> -hBOOL(hAPP_bool_bool(Q_1,hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,X_1),Y_1))))))) # label(fact_695_splitE2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 757 (all R_1 transi1395422419t_char(transi1395422419t_char(R_1)) = transi1395422419t_char(R_1)) # label(fact_696_rtrancl__idemp) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 758 (all R_1 transi374442731on_val(transi374442731on_val(R_1)) = transi374442731on_val(R_1)) # label(fact_697_rtrancl__idemp) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 759 (all R_1 transi2024712006on_val(transi2024712006on_val(R_1)) = transi2024712006on_val(R_1)) # label(fact_698_rtrancl__idemp) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 760 (all E_1 all E_2 all S 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)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S)),red(Pa)))) # label(fact_699_red__reds_ORedCondF) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 761 (all E_1 all E_2 all S 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)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1),S)),red(Pa)))) # label(fact_700_red__reds_ORedCondT) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 762 (all C_1 all A all B all R_1 (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B),transi1395422419t_char(R_1))) -> (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,B),C_1),transi1395422419t_char(R_1))) -> hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),C_1),transi1395422419t_char(R_1)))))) # label(fact_701_rtrancl__trans) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 763 (all C_1 all A all B all R_1 (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B),transi374442731on_val(R_1))) -> (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B),C_1),transi374442731on_val(R_1))) -> hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),C_1),transi374442731on_val(R_1)))))) # label(fact_702_rtrancl__trans) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 764 (all C_1 all A all B all R_1 (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B),transi2024712006on_val(R_1))) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B),C_1),transi2024712006on_val(R_1))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),C_1),transi2024712006on_val(R_1)))))) # label(fact_703_rtrancl__trans) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 765 (all C_1 all A all B all R_1 (hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B),transi935034983cl_val(R_1))) -> (hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B),C_1),transi935034983cl_val(R_1))) -> hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),C_1),transi935034983cl_val(R_1)))))) # label(fact_704_rtrancl__trans) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 766 (all C_1 all A all B all R_1 (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B),transi1395422419t_char(R_1))) -> (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,B),C_1),R_1)) -> hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),C_1),transi1395422419t_char(R_1)))))) # label(fact_705_rtrancl_Ortrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 767 (all C_1 all A all B all R_1 (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B),transi374442731on_val(R_1))) -> (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B),C_1),R_1)) -> hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),C_1),transi374442731on_val(R_1)))))) # label(fact_706_rtrancl_Ortrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 768 (all C_1 all A all B all R_1 (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B),transi2024712006on_val(R_1))) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B),C_1),R_1)) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),C_1),transi2024712006on_val(R_1)))))) # label(fact_707_rtrancl_Ortrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 769 (all C_1 all A all B all R_1 (hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B),transi935034983cl_val(R_1))) -> (hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B),C_1),R_1)) -> hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),C_1),transi935034983cl_val(R_1)))))) # label(fact_708_rtrancl_Ortrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 770 (all C_1 all A all B all R_1 (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B),R_1)) -> (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,B),C_1),transi1395422419t_char(R_1))) -> hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),C_1),transi1395422419t_char(R_1)))))) # label(fact_709_converse__rtrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 771 (all C_1 all A all B all R_1 (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B),R_1)) -> (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B),C_1),transi374442731on_val(R_1))) -> hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),C_1),transi374442731on_val(R_1)))))) # label(fact_710_converse__rtrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 772 (all C_1 all A all B all R_1 (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B),R_1)) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B),C_1),transi2024712006on_val(R_1))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),C_1),transi2024712006on_val(R_1)))))) # label(fact_711_converse__rtrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 773 (all C_1 all A all B all R_1 (hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B),R_1)) -> (hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B),C_1),transi935034983cl_val(R_1))) -> hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),C_1),transi935034983cl_val(R_1)))))) # label(fact_712_converse__rtrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 774 (all E_1 all E_2 all E_b all S_2_1 all Eb all S_0 all S_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,bool(fFalse))),S_1)),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)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),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(Eb,E_1,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2_1)),transi2024712006on_val(red(Pa))))))) # label(fact_713_CondReds2F) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 775 (all E_2 all E_1 all E_b all S_2_1 all Eb all S_0 all S_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1)),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)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),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(Eb,E_1,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2_1)),transi2024712006on_val(red(Pa))))))) # label(fact_714_CondReds2T) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 776 (all Eb all S_3_1 all C_1 all V_1_2 all S_2_1 all B all S_0 all S_1 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)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,C_1),S_1)),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_1)),S_2_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),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_1)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S_3_1)),transi2024712006on_val(red(Pa)))))))) # label(fact_715_WhileTReds) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 777 (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_1 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_1),B_1)),R_1)) -> -hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),B_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Za),Zb)),transi374442731on_val(R_1)))))))) # label(fact_716_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 778 (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_1 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_1),B_1)),R_1)) -> -hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),B_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Za),Zb)),transi2024712006on_val(R_1)))))))) # label(fact_717_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 779 (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_1 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_1),B_1)),R_1)) -> -hBOOL(member619264020ar_val(hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A_1),B_1)),hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,Za),Zb)),transi1600669663ar_val(R_1)))))))) # label(fact_718_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 780 (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_1 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_1),B_1)),R_1)) -> -hBOOL(member1999287380t_char(hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_1),B_1)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Za),Zb)),transi198989188t_char(R_1)))))))) # label(fact_719_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 781 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member1551446420t_char(hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Xa_1),Xb_1)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Za),Zb)),transi772168185t_char(R_1))) -> (hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Xa_1),Xb_1) != hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Za),Zb) -> -(all A_1 all B_1 (hBOOL(member1551446420t_char(hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Xa_1),Xb_1)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_1),B_1)),R_1)) -> -hBOOL(member1551446420t_char(hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_1),B_1)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Za),Zb)),transi772168185t_char(R_1)))))))) # label(fact_720_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 782 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member1607118676t_char(hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Xa_1),Xb_1)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Za),Zb)),transi2005320128t_char(R_1))) -> (hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Xa_1),Xb_1) != hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Za),Zb) -> -(all A_1 all B_1 (hBOOL(member1607118676t_char(hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Xa_1),Xb_1)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),B_1)),R_1)) -> -hBOOL(member1607118676t_char(hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),B_1)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Za),Zb)),transi2005320128t_char(R_1)))))))) # label(fact_721_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 783 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member162552852t_char(hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Xa_1),Xb_1)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Za),Zb)),transi1123801095t_char(R_1))) -> (hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Xa_1),Xb_1) != hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Za),Zb) -> -(all A_1 all B_1 (hBOOL(member162552852t_char(hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Xa_1),Xb_1)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),B_1)),R_1)) -> -hBOOL(member162552852t_char(hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),B_1)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Za),Zb)),transi1123801095t_char(R_1)))))))) # label(fact_722_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 784 (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_1 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_1),B_1)),R_1)) -> -hBOOL(member794220506t_char(hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B_1)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Za),Zb)),transi1095029602t_char(R_1)))))))) # label(fact_723_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 785 (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_1 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_1),B_1)),R_1)) -> -hBOOL(member1322055188on_val(hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_1),B_1)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Za),Zb)),transi61620055on_val(R_1)))))))) # label(fact_724_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 786 (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_1 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_1),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_1),B_1)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Za),Zb)),transi1423755450al_val(R_1)))))))) # label(fact_725_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 787 (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_1 all B_1 (is_bop(A_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,A_1),B_1)),R_1)) -> -hBOOL(member1732271180al_val(hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),B_1)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Za),Zb)),transi1906258203al_val(R_1))))))))) # label(fact_726_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 788 (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_1 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_1),B_1)),R_1)) -> -hBOOL(member1161907014t_char(hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_1),B_1)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Za),Zb)),transi1789604888t_char(R_1)))))))) # label(fact_727_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.58 789 (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_1 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_1),B_1)),R_1)) -> -hBOOL(member125098544t_char(hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),B_1)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Za),Zb)),transi1257872013t_char(R_1)))))))) # label(fact_728_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.59 790 (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_1 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_1),B_1)),R_1)) -> -hBOOL(member1420286996t_char(hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),B_1)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Za),Zb)),transi122195895t_char(R_1)))))))) # label(fact_729_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.59 791 (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_1 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_1),B_1)),R_1)) -> -hBOOL(member88670778on_val(hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B_1)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Za),Zb)),transi208336786on_val(R_1)))))))) # label(fact_730_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.59 792 (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_1 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_1),B_1)),R_1)) -> -hBOOL(member808015754on_val(hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B_1)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Za),Zb)),transi910771962on_val(R_1)))))))) # label(fact_731_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.59 793 (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_1 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_1),B_1)),R_1)) -> -hBOOL(member563141460on_val(hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_1),B_1)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Za),Zb)),transi921647814on_val(R_1)))))))) # label(fact_732_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.59 794 (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_1 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_1),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_1),B_1)))))) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Ax),Ay)))))) # label(fact_733_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.59 795 (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_1 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_1),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_1),B_1)))))) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Ax),Ay)))))) # label(fact_734_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.59 796 (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_1 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_1),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_1),B_1)))))) -> hBOOL(hAPP_val_bool(hAPP_P486515074l_bool(Pa,Ax),Ay)))))) # label(fact_735_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.59 797 (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_1 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_1),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_1),B_1)))))) -> hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(Pa,Ax),Ay)))))) # label(fact_736_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.59 798 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member1551446420t_char(hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Ax),Ay)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Bx),By)),transi772168185t_char(R_1))) -> (hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(Pa,Bx),By)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member1551446420t_char(hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_1),B_1)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Aa),Ba)),R_1)) -> (hBOOL(member1551446420t_char(hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Aa),Ba)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Bx),By)),transi772168185t_char(R_1))) -> (hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(Pa,A_1),B_1)))))) -> hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(Pa,Ax),Ay)))))) # label(fact_737_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.59 799 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member1607118676t_char(hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Ax),Ay)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Bx),By)),transi2005320128t_char(R_1))) -> (hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(Pa,Bx),By)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member1607118676t_char(hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),B_1)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Aa),Ba)),R_1)) -> (hBOOL(member1607118676t_char(hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Aa),Ba)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Bx),By)),transi2005320128t_char(R_1))) -> (hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(Pa,A_1),B_1)))))) -> hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(Pa,Ax),Ay)))))) # label(fact_738_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.59 800 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member162552852t_char(hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Ax),Ay)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Bx),By)),transi1123801095t_char(R_1))) -> (hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(Pa,Bx),By)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member162552852t_char(hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),B_1)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Aa),Ba)),R_1)) -> (hBOOL(member162552852t_char(hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Aa),Ba)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Bx),By)),transi1123801095t_char(R_1))) -> (hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(Pa,A_1),B_1)))))) -> hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(Pa,Ax),Ay)))))) # label(fact_739_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.59 801 (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_1 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_1),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_1),B_1)))))) -> hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,Ax),Ay)))))) # label(fact_740_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.59 802 (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_1 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_1),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_1),B_1)))))) -> hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,Ax),Ay)))))) # label(fact_741_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.33/2.59 803 (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_1 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_1),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_1),B_1)))))) -> hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(Pa,Ax),Ay)))))) # label(fact_742_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 804 (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_1 all B_1 all Aa all Ba (is_bop(A_1) & is_bop(Aa) -> (hBOOL(member1732271180al_val(hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),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_1),B_1))))))) -> hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,Ax),Ay)))))) # label(fact_743_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 805 (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_1 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_1),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_1),B_1)))))) -> hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,Ax),Ay)))))) # label(fact_744_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 806 (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_1 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_1),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_1),B_1)))))) -> hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,Ax),Ay)))))) # label(fact_745_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 807 (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_1 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_1),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_1),B_1)))))) -> hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,Ax),Ay)))))) # label(fact_746_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 808 (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_1 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_1),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_1),B_1)))))) -> hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Ax),Ay)))))) # label(fact_747_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 809 (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_1 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_1),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_1),B_1)))))) -> hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Ax),Ay)))))) # label(fact_748_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 810 (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_1 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_1),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_1),B_1)))))) -> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Ax),Ay)))))) # label(fact_749_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 811 (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_1 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_1),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_1),B_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Aa),Ba)),R_1)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,A_1),B_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Bx),By)))))) # label(fact_750_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 812 (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_1 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_1),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_1),B_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Aa),Ba)),R_1)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,A_1),B_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Bx),By)))))) # label(fact_751_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 813 (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_1 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_1),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_1),B_1)),hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,Aa),Ba)),R_1)) -> (hBOOL(hAPP_val_bool(hAPP_P486515074l_bool(Pa,A_1),B_1)) -> hBOOL(hAPP_val_bool(hAPP_P486515074l_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_val_bool(hAPP_P486515074l_bool(Pa,Bx),By)))))) # label(fact_752_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 814 (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_1 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_1),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_1),B_1)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Aa),Ba)),R_1)) -> (hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(Pa,A_1),B_1)) -> hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(Pa,Bx),By)))))) # label(fact_753_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 815 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member1551446420t_char(hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Ax),Ay)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Bx),By)),transi772168185t_char(R_1))) -> (hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(Pa,Ax),Ay)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member1551446420t_char(hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Ax),Ay)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_1),B_1)),transi772168185t_char(R_1))) -> (hBOOL(member1551446420t_char(hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_1),B_1)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Aa),Ba)),R_1)) -> (hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(Pa,A_1),B_1)) -> hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(Pa,Bx),By)))))) # label(fact_754_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 816 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member1607118676t_char(hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Ax),Ay)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Bx),By)),transi2005320128t_char(R_1))) -> (hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(Pa,Ax),Ay)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member1607118676t_char(hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Ax),Ay)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),B_1)),transi2005320128t_char(R_1))) -> (hBOOL(member1607118676t_char(hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),B_1)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Aa),Ba)),R_1)) -> (hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(Pa,A_1),B_1)) -> hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(Pa,Bx),By)))))) # label(fact_755_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 817 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member162552852t_char(hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Ax),Ay)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Bx),By)),transi1123801095t_char(R_1))) -> (hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(Pa,Ax),Ay)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member162552852t_char(hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Ax),Ay)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),B_1)),transi1123801095t_char(R_1))) -> (hBOOL(member162552852t_char(hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),B_1)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Aa),Ba)),R_1)) -> (hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(Pa,A_1),B_1)) -> hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(Pa,Bx),By)))))) # label(fact_756_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 818 (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_1 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_1),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_1),B_1)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Aa),Ba)),R_1)) -> (hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,A_1),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_757_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 819 (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_1 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_1),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_1),B_1)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Aa),Ba)),R_1)) -> (hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,A_1),B_1)) -> hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,Bx),By)))))) # label(fact_758_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 820 (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_1 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_1),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_1),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_1),B_1)) -> hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(Pa,Bx),By)))))) # label(fact_759_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 821 (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_1 all B_1 all Aa all Ba (is_bop(A_1) & 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_1),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_1),B_1)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Aa),Ba)),R_1)) -> (hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,A_1),B_1)) -> hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,Aa),Ba))))))) -> hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,Bx),By)))))) # label(fact_760_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 822 (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_1 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_1),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_1),B_1)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Aa),Ba)),R_1)) -> (hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,A_1),B_1)) -> hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,Bx),By)))))) # label(fact_761_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 823 (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_1 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_1),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_1),B_1)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Aa),Ba)),R_1)) -> (hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,A_1),B_1)) -> hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,Bx),By)))))) # label(fact_762_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 824 (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_1 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_1),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_1),B_1)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Aa),Ba)),R_1)) -> (hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,A_1),B_1)) -> hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,Bx),By)))))) # label(fact_763_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 825 (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_1 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_1),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_1),B_1)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Aa),Ba)),R_1)) -> (hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,A_1),B_1)) -> hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Bx),By)))))) # label(fact_764_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 826 (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_1 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_1),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_1),B_1)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Aa),Ba)),R_1)) -> (hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,A_1),B_1)) -> hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Bx),By)))))) # label(fact_765_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 827 (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_1 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_1),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_1),B_1)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Aa),Ba)),R_1)) -> (hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,A_1),B_1)) -> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Bx),By)))))) # label(fact_766_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 828 (all C_1 all B all S all S_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,bool(fFalse))),S_2)),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_1)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,unit)),S_2)),transi2024712006on_val(red(Pa)))))) # label(fact_767_WhileFReds) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 829 (all A all B all R_1 (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B),transi1395422419t_char(R_1))) -> (A != B -> -(all Y_1 (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),Y_1),transi1395422419t_char(R_1))) -> -hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Y_1),B),R_1))))))) # label(fact_768_rtranclE) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 830 (all A all B all R_1 (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B),transi374442731on_val(R_1))) -> (A != B -> -(all Y_1 (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),Y_1),transi374442731on_val(R_1))) -> -hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Y_1),B),R_1))))))) # label(fact_769_rtranclE) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 831 (all A all B all R_1 (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B),transi2024712006on_val(R_1))) -> (A != B -> -(all Y_1 (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),Y_1),transi2024712006on_val(R_1))) -> -hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Y_1),B),R_1))))))) # label(fact_770_rtranclE) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 832 (all A all B all R_1 (hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B),transi935034983cl_val(R_1))) -> (A != B -> -(all Y_1 (hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),Y_1),transi935034983cl_val(R_1))) -> -hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Y_1),B),R_1))))))) # label(fact_771_rtranclE) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 833 (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_1 (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,X_2),Y_1),R_1)) -> -hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Y_1),Z_1),transi1395422419t_char(R_1)))))))) # label(fact_772_converse__rtranclE) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 834 (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_1 (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,X_2),Y_1),R_1)) -> -hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Y_1),Z_1),transi374442731on_val(R_1)))))))) # label(fact_773_converse__rtranclE) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 835 (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_1 (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X_2),Y_1),R_1)) -> -hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Y_1),Z_1),transi2024712006on_val(R_1)))))))) # label(fact_774_converse__rtranclE) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 836 (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_1 (hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,X_2),Y_1),R_1)) -> -hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Y_1),Z_1),transi935034983cl_val(R_1)))))))) # label(fact_775_converse__rtranclE) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 837 (all Pa all A all B all R_1 (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B),transi1395422419t_char(R_1))) -> (hBOOL(hAPP_list_char_bool(Pa,B)) -> ((all Y_1 all Z (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Y_1),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_1)))))) -> hBOOL(hAPP_list_char_bool(Pa,A)))))) # label(fact_776_converse__rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 838 (all Pa all A all B all R_1 (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B),transi374442731on_val(R_1))) -> (hBOOL(hAPP_P71593144l_bool(Pa,B)) -> ((all Y_1 all Z (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Y_1),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_1)))))) -> hBOOL(hAPP_P71593144l_bool(Pa,A)))))) # label(fact_777_converse__rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 839 (all Pa all A all B all R_1 (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B),transi2024712006on_val(R_1))) -> (hBOOL(hAPP_P1708370145l_bool(Pa,B)) -> ((all Y_1 all Z (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Y_1),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_1)))))) -> hBOOL(hAPP_P1708370145l_bool(Pa,A)))))) # label(fact_778_converse__rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 840 (all Pa all A all B all R_1 (hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B),transi935034983cl_val(R_1))) -> (hBOOL(hAPP_val_bool(Pa,B)) -> ((all Y_1 all Z (hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Y_1),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_1)))))) -> hBOOL(hAPP_val_bool(Pa,A)))))) # label(fact_779_converse__rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 841 (all Pa all A all B all R_1 (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B),transi1395422419t_char(R_1))) -> (hBOOL(hAPP_list_char_bool(Pa,A)) -> ((all Y_1 all Z (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),Y_1),transi1395422419t_char(R_1))) -> (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Y_1),Z),R_1)) -> (hBOOL(hAPP_list_char_bool(Pa,Y_1)) -> hBOOL(hAPP_list_char_bool(Pa,Z)))))) -> hBOOL(hAPP_list_char_bool(Pa,B)))))) # label(fact_780_rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 842 (all Pa all A all B all R_1 (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B),transi374442731on_val(R_1))) -> (hBOOL(hAPP_P71593144l_bool(Pa,A)) -> ((all Y_1 all Z (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),Y_1),transi374442731on_val(R_1))) -> (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Y_1),Z),R_1)) -> (hBOOL(hAPP_P71593144l_bool(Pa,Y_1)) -> hBOOL(hAPP_P71593144l_bool(Pa,Z)))))) -> hBOOL(hAPP_P71593144l_bool(Pa,B)))))) # label(fact_781_rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 843 (all Pa all A all B all R_1 (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B),transi2024712006on_val(R_1))) -> (hBOOL(hAPP_P1708370145l_bool(Pa,A)) -> ((all Y_1 all Z (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),Y_1),transi2024712006on_val(R_1))) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Y_1),Z),R_1)) -> (hBOOL(hAPP_P1708370145l_bool(Pa,Y_1)) -> hBOOL(hAPP_P1708370145l_bool(Pa,Z)))))) -> hBOOL(hAPP_P1708370145l_bool(Pa,B)))))) # label(fact_782_rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 844 (all Pa all A all B all R_1 (hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B),transi935034983cl_val(R_1))) -> (hBOOL(hAPP_val_bool(Pa,A)) -> ((all Y_1 all Z (hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),Y_1),transi935034983cl_val(R_1))) -> (hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Y_1),Z),R_1)) -> (hBOOL(hAPP_val_bool(Pa,Y_1)) -> hBOOL(hAPP_val_bool(Pa,Z)))))) -> hBOOL(hAPP_val_bool(Pa,B)))))) # label(fact_783_rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 845 (all Ta all Pa all Hb all Ea all Eb all T_r (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),T_r)) -> (hBOOL(hAPP_ty_bool(is_refT,T_r)) -> hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,throw_list_char(Eb)),Ta))))) # label(fact_784_WTrtThrow) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 846 (all Pa all Hb all Ea all Eb all Ta (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,throw_list_char(Eb)),Ta)) -> -(all T_r_1 (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),T_r_1)) -> -hBOOL(hAPP_ty_bool(is_refT,T_r_1)))))) # label(fact_785_WTrt__elim__cases_I4_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 847 (all Bool_1 unit != bool(Bool_1)) # label(fact_786_val_Osimps_I6_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 848 (all Bool_1 bool(Bool_1) != unit) # label(fact_787_val_Osimps_I7_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 849 (all B all C_1 all S 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_1)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(B,seq_list_char(C_1,while_list_char(B,C_1)),hAPP_v834067052t_char(val_list_char,unit))),S)),red(Pa)))) # label(fact_788_red__reds_ORedWhile) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 850 (all Bop all E_2 all Eb all S_2_1 all E_1 all S_0 all V_1_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,E_1),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_1_2)),S_1)),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)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),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(Eb)),S_2_1)),transi2024712006on_val(red(Pa))))))) # label(fact_789_BinOpRedsThrow2) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 851 (all C all V all E_2 all Eb all S all V_1 all S_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_1)),S_2)),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(Eb,C,V,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_1)),S_2)),transi2024712006on_val(red(Pa)))))) # label(fact_790_TryRedsVal) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 852 (all C all Eb all S all A all S_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2)),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,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2)),transi2024712006on_val(red(Pa)))))) # label(fact_791_CastRedsThrow) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 853 (all Bop all E_2 all Eb all S all E_b all S_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E_b)),S_2)),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(Eb,Bop,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E_b)),S_2)),transi2024712006on_val(red(Pa)))))) # label(fact_792_BinOpRedsThrow1) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 854 (all E_2 all T_2 all Pa all Hb all Ea all E_1 all T_1 (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,E_1),T_1)) -> (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,E_2),T_2)) -> hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,seq_list_char(E_1,E_2)),T_2))))) # label(fact_793_WTrtSeq) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 855 (all Exp1_79 all Exp2_79 all List_39 all Exp_35 seq_list_char(Exp1_79,Exp2_79) != cast_list_char(List_39,Exp_35)) # label(fact_794_exp_Osimps_I61_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 856 (all List_38 all Exp_34 all Exp1_78 all Exp2_78 cast_list_char(List_38,Exp_34) != seq_list_char(Exp1_78,Exp2_78)) # label(fact_795_exp_Osimps_I60_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 857 (all Exp1_77 all Exp2_77 all Exp1_76 all Bop_19 all Exp2_76 seq_list_char(Exp1_77,Exp2_77) != binOp_list_char(Exp1_76,Bop_19,Exp2_76)) # label(fact_796_exp_Osimps_I107_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 858 (all List_37 all Exp_33 all Exp1_75 all Bop_18 all Exp2_75 cast_list_char(List_37,Exp_33) != binOp_list_char(Exp1_75,Bop_18,Exp2_75)) # label(fact_797_exp_Osimps_I46_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 859 (all Exp1_74 all Exp2_74 all Exp1_73 all List_36 all A_21 all Exp2_73 seq_list_char(Exp1_74,Exp2_74) != tryCatch_list_char(Exp1_73,List_36,A_21,Exp2_73)) # label(fact_798_exp_Osimps_I212_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 860 (all List_35 all Exp_32 all Exp1_72 all List_34 all A_20 all Exp2_72 cast_list_char(List_35,Exp_32) != tryCatch_list_char(Exp1_72,List_34,A_20,Exp2_72)) # label(fact_799_exp_Osimps_I68_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 861 (all Exp1_71 all Bop_17 all Exp2_71 all Exp1_70 all Exp2_70 binOp_list_char(Exp1_71,Bop_17,Exp2_71) != seq_list_char(Exp1_70,Exp2_70)) # label(fact_800_exp_Osimps_I106_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 862 (all Exp1_69 all Bop_16 all Exp2_69 all List_33 all Exp_31 binOp_list_char(Exp1_69,Bop_16,Exp2_69) != cast_list_char(List_33,Exp_31)) # label(fact_801_exp_Osimps_I47_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 863 (all Exp1_68 all Bop_15 all Exp2_68 all Exp1_67 all List_32 all A_19 all Exp2_67 binOp_list_char(Exp1_68,Bop_15,Exp2_68) != tryCatch_list_char(Exp1_67,List_32,A_19,Exp2_67)) # label(fact_802_exp_Osimps_I114_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 864 (all Exp1_66 all List_31 all A_18 all Exp2_66 all Exp1_65 all Exp2_65 tryCatch_list_char(Exp1_66,List_31,A_18,Exp2_66) != seq_list_char(Exp1_65,Exp2_65)) # label(fact_803_exp_Osimps_I213_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 865 (all Exp1_64 all List_30 all A_17 all Exp2_64 all List_29 all Exp_30 tryCatch_list_char(Exp1_64,List_30,A_17,Exp2_64) != cast_list_char(List_29,Exp_30)) # label(fact_804_exp_Osimps_I69_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 866 (all Exp1_63 all List_28 all A_16 all Exp2_63 all Exp1_62 all Bop_14 all Exp2_62 tryCatch_list_char(Exp1_63,List_28,A_16,Exp2_63) != binOp_list_char(Exp1_62,Bop_14,Exp2_62)) # label(fact_805_exp_Osimps_I115_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 867 (all Exp1_61 all Exp2_61 all Exp1_60 all Exp2_60 (seq_list_char(Exp1_61,Exp2_61) = seq_list_char(Exp1_60,Exp2_60) <-> Exp1_61 = Exp1_60 & Exp2_61 = Exp2_60)) # label(fact_806_exp_Osimps_I11_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 868 (all List_3 all Exp_29 all List_2 all Exp_28 (cast_list_char(List_3,Exp_29) = cast_list_char(List_2,Exp_28) <-> List_3 = List_2 & Exp_29 = Exp_28)) # label(fact_807_exp_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 869 (all Exp1_61 all Bop all Exp2_61 all Exp1_60 all Bop_13 all Exp2_60 (is_bop(Bop) & is_bop(Bop_13) -> (binOp_list_char(Exp1_61,Bop,Exp2_61) = binOp_list_char(Exp1_60,Bop_13,Exp2_60) <-> Exp1_61 = Exp1_60 & Bop = Bop_13 & Exp2_61 = Exp2_60))) # label(fact_808_exp_Osimps_I4_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 870 (all Exp1_61 all List_3 all A all Exp2_61 all Exp1_60 all List_2 all A_15 all Exp2_60 (tryCatch_list_char(Exp1_61,List_3,A,Exp2_61) = tryCatch_list_char(Exp1_60,List_2,A_15,Exp2_60) <-> Exp1_61 = Exp1_60 & List_3 = List_2 & A = A_15 & Exp2_61 = Exp2_60)) # label(fact_809_exp_Osimps_I15_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 871 (all Val_7 all Exp1_59 all Exp2_59 hAPP_v834067052t_char(val_list_char,Val_7) != seq_list_char(Exp1_59,Exp2_59)) # label(fact_810_exp_Osimps_I84_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 872 (all Val_6 all List_27 all Exp_27 hAPP_v834067052t_char(val_list_char,Val_6) != cast_list_char(List_27,Exp_27)) # label(fact_811_exp_Osimps_I45_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 873 (all Val_5 all Exp1_58 all Bop_12 all Exp2_58 hAPP_v834067052t_char(val_list_char,Val_5) != binOp_list_char(Exp1_58,Bop_12,Exp2_58)) # label(fact_812_exp_Osimps_I70_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 874 (all Val_4 all Exp1_57 all List_26 all A_14 all Exp2_57 hAPP_v834067052t_char(val_list_char,Val_4) != tryCatch_list_char(Exp1_57,List_26,A_14,Exp2_57)) # label(fact_813_exp_Osimps_I92_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 875 (all Exp1_56 all Exp2_56 all Val_3 seq_list_char(Exp1_56,Exp2_56) != hAPP_v834067052t_char(val_list_char,Val_3)) # label(fact_814_exp_Osimps_I85_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 876 (all List_25 all Exp_26 all Val_2 cast_list_char(List_25,Exp_26) != hAPP_v834067052t_char(val_list_char,Val_2)) # label(fact_815_exp_Osimps_I44_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 877 (all Exp1_55 all Bop_11 all Exp2_55 all Val_1 binOp_list_char(Exp1_55,Bop_11,Exp2_55) != hAPP_v834067052t_char(val_list_char,Val_1)) # label(fact_816_exp_Osimps_I71_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 878 (all Exp1_54 all List_24 all A_13 all Exp2_54 all Val tryCatch_list_char(Exp1_54,List_24,A_13,Exp2_54) != hAPP_v834067052t_char(val_list_char,Val)) # label(fact_817_exp_Osimps_I93_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 879 (all Exp_25 all Exp1_53 all Exp2_53 throw_list_char(Exp_25) != seq_list_char(Exp1_53,Exp2_53)) # label(fact_818_exp_Osimps_I211_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 880 (all Exp_24 all List_23 all Exp_23 throw_list_char(Exp_24) != cast_list_char(List_23,Exp_23)) # label(fact_819_exp_Osimps_I67_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 881 (all Exp_22 all Exp1_52 all Bop_10 all Exp2_52 throw_list_char(Exp_22) != binOp_list_char(Exp1_52,Bop_10,Exp2_52)) # label(fact_820_exp_Osimps_I113_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.59 882 (all Exp_21 all Exp1_51 all List_22 all A_12 all Exp2_51 throw_list_char(Exp_21) != tryCatch_list_char(Exp1_51,List_22,A_12,Exp2_51)) # label(fact_821_exp_Osimps_I224_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 883 (all Exp1_50 all Exp2_50 all Exp_20 seq_list_char(Exp1_50,Exp2_50) != throw_list_char(Exp_20)) # label(fact_822_exp_Osimps_I210_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 884 (all List_21 all Exp_19 all Exp_18 cast_list_char(List_21,Exp_19) != throw_list_char(Exp_18)) # label(fact_823_exp_Osimps_I66_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 885 (all Exp1_49 all Bop_9 all Exp2_49 all Exp_17 binOp_list_char(Exp1_49,Bop_9,Exp2_49) != throw_list_char(Exp_17)) # label(fact_824_exp_Osimps_I112_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 886 (all Exp1_48 all List_20 all A_11 all Exp2_48 all Exp_16 tryCatch_list_char(Exp1_48,List_20,A_11,Exp2_48) != throw_list_char(Exp_16)) # label(fact_825_exp_Osimps_I225_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 887 (all Exp1_47 all List_19 all A_10 all Exp2_47 all Exp1_46 all List1_15 all List2_15 all Exp2_46 tryCatch_list_char(Exp1_47,List_19,A_10,Exp2_47) != fAss_list_char(Exp1_46,List1_15,List2_15,Exp2_46)) # label(fact_826_exp_Osimps_I183_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 888 (all Exp1_45 all List1_14 all List2_14 all Exp2_45 all Exp1_44 all List_18 all A_9 all Exp2_44 fAss_list_char(Exp1_45,List1_14,List2_14,Exp2_45) != tryCatch_list_char(Exp1_44,List_18,A_9,Exp2_44)) # label(fact_827_exp_Osimps_I182_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 889 (all Exp1_43 all List1_13 all List2_13 all Exp2_43 all Exp1_42 all Bop_8 all Exp2_42 fAss_list_char(Exp1_43,List1_13,List2_13,Exp2_43) != binOp_list_char(Exp1_42,Bop_8,Exp2_42)) # label(fact_828_exp_Osimps_I101_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 890 (all Exp1_41 all List1_12 all List2_12 all Exp2_41 all List_17 all Exp_15 fAss_list_char(Exp1_41,List1_12,List2_12,Exp2_41) != cast_list_char(List_17,Exp_15)) # label(fact_829_exp_Osimps_I55_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 891 (all Exp1_40 all List1_11 all List2_11 all Exp2_40 all Exp1_39 all Exp2_39 fAss_list_char(Exp1_40,List1_11,List2_11,Exp2_40) != seq_list_char(Exp1_39,Exp2_39)) # label(fact_830_exp_Osimps_I174_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 892 (all Exp1_38 all Bop_7 all Exp2_38 all Exp1_37 all List1_10 all List2_10 all Exp2_37 binOp_list_char(Exp1_38,Bop_7,Exp2_38) != fAss_list_char(Exp1_37,List1_10,List2_10,Exp2_37)) # label(fact_831_exp_Osimps_I100_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 893 (all List_16 all Exp_14 all Exp1_36 all List1_9 all List2_9 all Exp2_36 cast_list_char(List_16,Exp_14) != fAss_list_char(Exp1_36,List1_9,List2_9,Exp2_36)) # label(fact_832_exp_Osimps_I54_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 894 (all Exp1_35 all Exp2_35 all Exp1_34 all List1_8 all List2_8 all Exp2_34 seq_list_char(Exp1_35,Exp2_35) != fAss_list_char(Exp1_34,List1_8,List2_8,Exp2_34)) # label(fact_833_exp_Osimps_I175_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 895 (all Exp1_33 all Exp2_33 all Exp1_32 all Exp2_32 all Exp3_7 seq_list_char(Exp1_33,Exp2_33) != cond_list_char(Exp1_32,Exp2_32,Exp3_7)) # label(fact_834_exp_Osimps_I206_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 896 (all List_15 all Exp_13 all Exp1_31 all Exp2_31 all Exp3_6 cast_list_char(List_15,Exp_13) != cond_list_char(Exp1_31,Exp2_31,Exp3_6)) # label(fact_835_exp_Osimps_I62_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 897 (all Exp1_30 all Exp2_30 all Exp3_5 all Exp1_29 all Exp2_29 cond_list_char(Exp1_30,Exp2_30,Exp3_5) != seq_list_char(Exp1_29,Exp2_29)) # label(fact_836_exp_Osimps_I207_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 898 (all Exp1_28 all Exp2_28 all Exp3_4 all List_14 all Exp_12 cond_list_char(Exp1_28,Exp2_28,Exp3_4) != cast_list_char(List_14,Exp_12)) # label(fact_837_exp_Osimps_I63_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 899 (all Exp1_27 all Exp2_27 all Exp3_3 all Exp1_26 all Bop_6 all Exp2_26 cond_list_char(Exp1_27,Exp2_27,Exp3_3) != binOp_list_char(Exp1_26,Bop_6,Exp2_26)) # label(fact_838_exp_Osimps_I109_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 900 (all Exp1_25 all Bop_5 all Exp2_25 all Exp1_24 all Exp2_24 all Exp3_2 binOp_list_char(Exp1_25,Bop_5,Exp2_25) != cond_list_char(Exp1_24,Exp2_24,Exp3_2)) # label(fact_839_exp_Osimps_I108_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 901 (all Exp1_23 all Exp2_23 all Exp3_1 all Exp1_22 all List_13 all A_8 all Exp2_22 cond_list_char(Exp1_23,Exp2_23,Exp3_1) != tryCatch_list_char(Exp1_22,List_13,A_8,Exp2_22)) # label(fact_840_exp_Osimps_I218_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 902 (all Exp1_21 all List_12 all A_7 all Exp2_21 all Exp1_20 all Exp2_20 all Exp3 tryCatch_list_char(Exp1_21,List_12,A_7,Exp2_21) != cond_list_char(Exp1_20,Exp2_20,Exp3)) # label(fact_841_exp_Osimps_I219_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 903 (all Exp1_19 all List_11 all A_6 all Exp2_19 all Exp_11 all List1_7 all List2_7 tryCatch_list_char(Exp1_19,List_11,A_6,Exp2_19) != fAcc_list_char(Exp_11,List1_7,List2_7)) # label(fact_842_exp_Osimps_I169_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 904 (all Exp_10 all List1_6 all List2_6 all Exp1_18 all List_10 all A_5 all Exp2_18 fAcc_list_char(Exp_10,List1_6,List2_6) != tryCatch_list_char(Exp1_18,List_10,A_5,Exp2_18)) # label(fact_843_exp_Osimps_I168_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 905 (all Exp1_17 all Bop_4 all Exp2_17 all Exp_9 all List1_5 all List2_5 binOp_list_char(Exp1_17,Bop_4,Exp2_17) != fAcc_list_char(Exp_9,List1_5,List2_5)) # label(fact_844_exp_Osimps_I98_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 906 (all Exp_8 all List1_4 all List2_4 all Exp1_16 all Bop_3 all Exp2_16 fAcc_list_char(Exp_8,List1_4,List2_4) != binOp_list_char(Exp1_16,Bop_3,Exp2_16)) # label(fact_845_exp_Osimps_I99_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 907 (all Exp_7 all List1_3 all List2_3 all List_9 all Exp_6 fAcc_list_char(Exp_7,List1_3,List2_3) != cast_list_char(List_9,Exp_6)) # label(fact_846_exp_Osimps_I53_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 908 (all Exp_5 all List1_2 all List2_2 all Exp1_15 all Exp2_15 fAcc_list_char(Exp_5,List1_2,List2_2) != seq_list_char(Exp1_15,Exp2_15)) # label(fact_847_exp_Osimps_I160_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 909 (all List_8 all Exp_4 all Exp_3 all List1_1 all List2_1 cast_list_char(List_8,Exp_4) != fAcc_list_char(Exp_3,List1_1,List2_1)) # label(fact_848_exp_Osimps_I52_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 910 (all Exp1_14 all Exp2_14 all Exp_2 all List1 all List2 seq_list_char(Exp1_14,Exp2_14) != fAcc_list_char(Exp_2,List1,List2)) # label(fact_849_exp_Osimps_I161_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 911 (all Exp1_13 all Exp2_13 all Exp1_12 all Exp2_12 seq_list_char(Exp1_13,Exp2_13) != while_list_char(Exp1_12,Exp2_12)) # label(fact_850_exp_Osimps_I208_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 912 (all List_7 all Exp_1 all Exp1_11 all Exp2_11 cast_list_char(List_7,Exp_1) != while_list_char(Exp1_11,Exp2_11)) # label(fact_851_exp_Osimps_I64_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 913 (all Exp1_10 all Exp2_10 all Exp1_9 all Exp2_9 while_list_char(Exp1_10,Exp2_10) != seq_list_char(Exp1_9,Exp2_9)) # label(fact_852_exp_Osimps_I209_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 914 (all Exp1_8 all Exp2_8 all List_6 all Exp while_list_char(Exp1_8,Exp2_8) != cast_list_char(List_6,Exp)) # label(fact_853_exp_Osimps_I65_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 915 (all Exp1_7 all Exp2_7 all Exp1_6 all Bop_2 all Exp2_6 while_list_char(Exp1_7,Exp2_7) != binOp_list_char(Exp1_6,Bop_2,Exp2_6)) # label(fact_854_exp_Osimps_I111_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 916 (all Exp1_5 all Exp2_5 all Exp1_4 all List_5 all A_4 all Exp2_4 while_list_char(Exp1_5,Exp2_5) != tryCatch_list_char(Exp1_4,List_5,A_4,Exp2_4)) # label(fact_855_exp_Osimps_I222_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 917 (all Exp1_3 all Bop_1 all Exp2_3 all Exp1_2 all Exp2_2 binOp_list_char(Exp1_3,Bop_1,Exp2_3) != while_list_char(Exp1_2,Exp2_2)) # label(fact_856_exp_Osimps_I110_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 918 (all Exp1_1 all List_4 all A_3 all Exp2_1 all Exp1 all Exp2 tryCatch_list_char(Exp1_1,List_4,A_3,Exp2_1) != while_list_char(Exp1,Exp2)) # label(fact_857_exp_Osimps_I223_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 919 (all E_2 all Eb all S all E_b all S_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),red(Pa))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(Eb,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(E_b,E_2)),S_2)),red(Pa))))) # label(fact_858_red__reds_OSeqRed) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 920 (all Bop all E_2 all Eb all S all E_b all S_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),red(Pa))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(Eb,Bop,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(E_b,Bop,E_2)),S_2)),red(Pa))))) # label(fact_859_red__reds_OBinOpRed1) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 921 (all C all Eb all S all E_b all S_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),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,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,E_b)),S_2)),red(Pa))))) # label(fact_860_red__reds_OCastRed) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 922 (all C all V all E_2 all Eb all S all E_b all S_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),red(Pa))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(Eb,C,V,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(E_b,C,V,E_2)),S_2)),red(Pa))))) # label(fact_861_red__reds_OTryRed) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 923 (all Bool all Bool_1 (bool(Bool) = bool(Bool_1) <-> (hBOOL(Bool) <-> hBOOL(Bool_1)))) # label(fact_862_val_Osimps_I1_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 924 (all V_1 all E_2 all S 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_1),E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S)),red(Pa)))) # label(fact_863_red__reds_ORedSeq) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 925 (all Eb all E_2 all S 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(Eb),E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),red(Pa)))) # label(fact_864_red__reds_OSeqThrow) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 926 (all E_2 all Eb all S all E_b all S_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),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(Eb,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(E_b,E_2)),S_2)),transi2024712006on_val(red(Pa)))))) # label(fact_865_SeqReds) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 927 (all V_1_2 all Bop all Eb all S all E_b all S_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),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,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_2),Bop,E_b)),S_2)),red(Pa))))) # label(fact_866_red__reds_OBinOpRed2) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 928 (all Eb all Bop all E_2 all S 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(Eb),Bop,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),red(Pa)))) # label(fact_867_red__reds_OBinOpThrow1) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 929 (all Bop all E_2 all Eb all S all E_b all S_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),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(Eb,Bop,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(E_b,Bop,E_2)),S_2)),transi2024712006on_val(red(Pa)))))) # label(fact_868_BinOp1Reds) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 930 (all C all Eb all S 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(Eb))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),red(Pa)))) # label(fact_869_red__reds_OCastThrow) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 931 (all C all Eb all S all E_b all S_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),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,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,E_b)),S_2)),transi2024712006on_val(red(Pa)))))) # label(fact_870_CastReds) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 932 (all V_1 all C all V all E_2 all S 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_1),C,V,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_1)),S)),red(Pa)))) # label(fact_871_red__reds_ORedTry) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 933 (all C all V all E_2 all Eb all S all E_b all S_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),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(Eb,C,V,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(E_b,C,V,E_2)),S_2)),transi2024712006on_val(red(Pa)))))) # label(fact_872_TryReds) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 934 (all E_2 all E_2_a all S_2_1 all E_1 all S_0 all V_1_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,E_1),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_1_2)),S_1)),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)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2_a),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_a),S_2_1)),transi2024712006on_val(red(Pa))))))) # label(fact_873_SeqReds2) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 935 (all E_2 all Eb all S all E_b all S_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E_b)),S_2)),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(Eb,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E_b)),S_2)),transi2024712006on_val(red(Pa)))))) # label(fact_874_SeqRedsThrow) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 936 (all V_1_2 all Bop all Eb all S 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(Eb))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),red(Pa)))) # label(fact_875_red__reds_OBinOpThrow2) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 937 (all V_1 all Bop all Eb all S all E_b all S_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),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_1),Bop,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1),Bop,E_b)),S_2)),transi2024712006on_val(red(Pa)))))) # label(fact_876_BinOp2Reds) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 938 (all E_2 all T_2 all Pa all Hb all Ea all E_1 all T_1 (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,E_1),T_1)) -> (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,E_2),T_2)) -> hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,binOp_list_char(E_1,c_Expr_Obop_OEq,E_2)),boolean))))) # label(fact_877_WTrtBinOpEq) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 939 (all C all Eb all S all S_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S_2)),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,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S_2)),transi2024712006on_val(red(Pa)))))) # label(fact_878_CastRedsNull) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 940 (all C all S 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)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S)),red(Pa)))) # label(fact_879_red__reds_ORedCastNull) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 941 (all Pa all B all C_1 all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,while_list_char(B,C_1),S),cond_list_char(B,seq_list_char(C_1,while_list_char(B,C_1)),hAPP_v834067052t_char(val_list_char,unit))),S))) # label(fact_880_redp__redsp_ORedWhile) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 942 (all Pa all B all C_1 all S all E_b all S_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(B,C_1),S),E_b),S_2)) <-> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(B,seq_list_char(C_1,while_list_char(B,C_1)),hAPP_v834067052t_char(val_list_char,unit)),S),E_b),S_2)))) # label(fact_883_unfold__while) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 943 (all M all Esa all Eb all S0 all A all S_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_1)),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(Eb,M,Esa)),S0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_884_CallRedsThrowObj) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 944 (all M all Esa all Pa all Eb all S all E_b all S_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(Eb,M,Esa),S),call_list_char(E_b,M,Esa)),S_2)))) # label(fact_885_redp__redsp_OCallObj) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 945 (all Pa all Eb all M all Esa all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(throw_list_char(Eb),M,Esa),S),throw_list_char(Eb)),S))) # label(fact_886_redp__redsp_OCallThrowObj) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 946 (all Pa all Eb all S all E_b all S_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,throw_list_char(Eb),S),throw_list_char(E_b)),S_2)))) # label(fact_888_redp__redsp_OThrowRed) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 947 (all Pa all Eb all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,throw_list_char(throw_list_char(Eb)),S),throw_list_char(Eb)),S))) # label(fact_889_redp__redsp_OThrowThrow) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 948 (all Pa all C all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cast_list_char(C,hAPP_v834067052t_char(val_list_char,null)),S),hAPP_v834067052t_char(val_list_char,null)),S))) # label(fact_890_redp__redsp_ORedCastNull) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 949 (all E_2 all Pa all Eb all S all E_b all S_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,seq_list_char(Eb,E_2),S),seq_list_char(E_b,E_2)),S_2)))) # label(fact_891_redp__redsp_OSeqRed) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 950 (all Fa all Da all E_2 all Pa all Eb all S all E_b all S_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(Eb,Fa,Da,E_2),S),fAss_list_char(E_b,Fa,Da,E_2)),S_2)))) # label(fact_892_redp__redsp_OFAssRed1) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 951 (all Bop all E_2 all Pa all Eb all S all E_b all S_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,binOp_list_char(Eb,Bop,E_2),S),binOp_list_char(E_b,Bop,E_2)),S_2)))) # label(fact_893_redp__redsp_OBinOpRed1) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 952 (all E_1 all E_2 all Pa all Eb all S all E_b all S_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cond_list_char(Eb,E_1,E_2),S),cond_list_char(E_b,E_1,E_2)),S_2)))) # label(fact_894_redp__redsp_OCondRed) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 953 (all C all Pa all Eb all S all E_b all S_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cast_list_char(C,Eb),S),cast_list_char(C,E_b)),S_2)))) # label(fact_895_redp__redsp_OCastRed) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 954 (all Fa all Da all Pa all Eb all S all E_b all S_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAcc_list_char(Eb,Fa,Da),S),fAcc_list_char(E_b,Fa,Da)),S_2)))) # label(fact_896_redp__redsp_OFAccRed) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 955 (all C all V all E_2 all Pa all Eb all S all E_b all S_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,tryCatch_list_char(Eb,C,V,E_2),S),tryCatch_list_char(E_b,C,V,E_2)),S_2)))) # label(fact_897_redp__redsp_OTryRed) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 956 (all Bool_1 null != bool(Bool_1)) # label(fact_898_val_Osimps_I12_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 957 (all Bool_1 bool(Bool_1) != null) # label(fact_899_val_Osimps_I13_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 958 (all Pa all V_1 all E_2 all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,seq_list_char(hAPP_v834067052t_char(val_list_char,V_1),E_2),S),E_2),S))) # label(fact_902_redp__redsp_ORedSeq) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 959 (all V_1 all Fa all Da all Pa all Eb all S all E_b all S_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(hAPP_v834067052t_char(val_list_char,V_1),Fa,Da,Eb),S),fAss_list_char(hAPP_v834067052t_char(val_list_char,V_1),Fa,Da,E_b)),S_2)))) # label(fact_903_redp__redsp_OFAssRed2) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 960 (all V_1_2 all Bop all Pa all Eb all S all E_b all S_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_2),Bop,Eb),S),binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_2),Bop,E_b)),S_2)))) # label(fact_904_redp__redsp_OBinOpRed2) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 961 (all Pa all Eb all E_2 all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,seq_list_char(throw_list_char(Eb),E_2),S),throw_list_char(Eb)),S))) # label(fact_905_redp__redsp_OSeqThrow) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 962 (all Pa all Eb all Fa all Da all E_2 all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(throw_list_char(Eb),Fa,Da,E_2),S),throw_list_char(Eb)),S))) # label(fact_906_redp__redsp_OFAssThrow1) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 963 (all Pa all Eb all Bop all E_2 all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,binOp_list_char(throw_list_char(Eb),Bop,E_2),S),throw_list_char(Eb)),S))) # label(fact_907_redp__redsp_OBinOpThrow1) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 964 (all Pa all Eb all E_1 all E_2 all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cond_list_char(throw_list_char(Eb),E_1,E_2),S),throw_list_char(Eb)),S))) # label(fact_908_redp__redsp_OCondThrow) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 965 (all Pa all C all Eb all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cast_list_char(C,throw_list_char(Eb)),S),throw_list_char(Eb)),S))) # label(fact_909_redp__redsp_OCastThrow) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 966 (all Pa all V_1 all C all V all E_2 all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,tryCatch_list_char(hAPP_v834067052t_char(val_list_char,V_1),C,V,E_2),S),hAPP_v834067052t_char(val_list_char,V_1)),S))) # label(fact_910_redp__redsp_ORedTry) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 967 (all Pa all Eb all Fa all Da all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAcc_list_char(throw_list_char(Eb),Fa,Da),S),throw_list_char(Eb)),S))) # label(fact_911_redp__redsp_OFAccThrow) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 968 (all Pa all V_1 all Fa all Da all Eb all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(hAPP_v834067052t_char(val_list_char,V_1),Fa,Da,throw_list_char(Eb)),S),throw_list_char(Eb)),S))) # label(fact_912_redp__redsp_OFAssThrow2) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 969 (all Pa all V_1_2 all Bop all Eb all S 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(Eb)),S),throw_list_char(Eb)),S))) # label(fact_913_redp__redsp_OBinOpThrow2) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 970 (all M all Esa all Eb all S all E_b all S_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),red(Pa))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(Eb,M,Esa)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(E_b,M,Esa)),S_2)),red(Pa))))) # label(fact_914_red__reds_OCallObj) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 971 (all Pa all E_1 all E_2 all S 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),E_2),S))) # label(fact_915_redp__redsp_ORedCondF) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 972 (all Pa all E_1 all E_2 all S 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),E_1),S))) # label(fact_916_redp__redsp_ORedCondT) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 973 (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_917_redp__red__eq) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 974 (all Eb all M all Esa all S 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(Eb),M,Esa)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),red(Pa)))) # label(fact_918_red__reds_OCallThrowObj) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 975 (all M all Esa all Eb all S all E_b all S_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_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(Eb,M,Esa)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(E_b,M,Esa)),S_2)),transi2024712006on_val(red(Pa)))))) # label(fact_919_CallRedsObj) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 976 (all C_1 all Pa all Eb all S_0 all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,bool(fFalse))),S_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Eb,C_1),S_0),hAPP_v834067052t_char(val_list_char,unit)),S_1)))) # label(fact_920_WhileF) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 977 (all C_1 all E_b all S_2_1 all Pa all Eb all S_0 all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,C_1,S_1),throw_list_char(E_b)),S_2_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Eb,C_1),S_0),throw_list_char(E_b)),S_2_1))))) # label(fact_921_WhileBodyThrow) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 978 (all E_3_1 all S_3_1 all C_1 all V_1_2 all S_2_1 all Pa all Eb all S_0 all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,C_1,S_1),hAPP_v834067052t_char(val_list_char,V_1_2)),S_2_1)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Eb,C_1),S_2_1),E_3_1),S_3_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Eb,C_1),S_0),E_3_1),S_3_1)))))) # label(fact_922_WhileT) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 979 (all E_2 all E_1 all E_b all S_2_1 all Pa all Eb all S_0 all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_1),E_b),S_2_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(Eb,E_1,E_2),S_0),E_b),S_2_1))))) # label(fact_923_CondT) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 980 (all E_1 all E_2 all E_b all S_2_1 all Pa all Eb all S_0 all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,bool(fFalse))),S_1)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1),E_b),S_2_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(Eb,E_1,E_2),S_0),E_b),S_2_1))))) # label(fact_924_CondF) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 981 (all C all Pa all Eb all S_0 all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cast_list_char(C,Eb),S_0),hAPP_v834067052t_char(val_list_char,null)),S_1)))) # label(fact_925_CastNull) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 982 (all Bop all E_2 all Eb all S_2_1 all Pa all E_1 all S_0 all V_1_2 all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),hAPP_v834067052t_char(val_list_char,V_1_2)),S_1)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1),throw_list_char(Eb)),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(Eb)),S_2_1))))) # label(fact_926_eval__evals_OBinOpThrow2) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 983 (all Pa all V_1 all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,hAPP_v834067052t_char(val_list_char,V_1),S),hAPP_v834067052t_char(val_list_char,V_1)),S))) # label(fact_927_Val) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 984 (all Pa all V_1 all S all E_b all S_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,hAPP_v834067052t_char(val_list_char,V_1),S),E_b),S_2)) -> -(E_b = hAPP_v834067052t_char(val_list_char,V_1) -> S_2 != S))) # label(fact_928_eval__cases_I2_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 985 (all Pa all Eb all S_0 all E_b all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),throw_list_char(E_b)),S_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(Eb),S_0),throw_list_char(E_b)),S_1)))) # label(fact_929_eval__evals_OThrowThrow) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 986 (all E_1 all E_2 all S_2_1 all Pa all E_0 all S_0 all V_1 all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_0,S_0),hAPP_v834067052t_char(val_list_char,V_1)),S_1)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_1),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_930_Seq) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 987 (all E_1 all Pa all E_0 all S_0 all Eb all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_0,S_0),throw_list_char(Eb)),S_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,seq_list_char(E_0,E_1),S_0),throw_list_char(Eb)),S_1)))) # label(fact_931_eval__evals_OSeqThrow) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 988 (all Fa all Da all E_2 all Pa all E_1 all S_0 all E_b all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),throw_list_char(E_b)),S_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAss_list_char(E_1,Fa,Da,E_2),S_0),throw_list_char(E_b)),S_1)))) # label(fact_932_eval__evals_OFAssThrow1) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 989 (all M all Ps all Pa all Eb all S_0 all E_b all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),throw_list_char(E_b)),S_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,call_list_char(Eb,M,Ps),S_0),throw_list_char(E_b)),S_1)))) # label(fact_933_CallObjThrow) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 990 (all Bop all E_2 all Pa all E_1 all S_0 all Eb all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),throw_list_char(Eb)),S_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,binOp_list_char(E_1,Bop,E_2),S_0),throw_list_char(Eb)),S_1)))) # label(fact_934_eval__evals_OBinOpThrow1) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 991 (all C all Pa all Eb all S_0 all E_b all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),throw_list_char(E_b)),S_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cast_list_char(C,Eb),S_0),throw_list_char(E_b)),S_1)))) # label(fact_935_eval__evals_OCastThrow) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 992 (all E_1 all E_2 all Pa all Eb all S_0 all E_b all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),throw_list_char(E_b)),S_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(Eb,E_1,E_2),S_0),throw_list_char(E_b)),S_1)))) # label(fact_936_eval__evals_OCondThrow) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 993 (all C all V all E_2 all Pa all E_1 all S_0 all V_1_2 all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),hAPP_v834067052t_char(val_list_char,V_1_2)),S_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,tryCatch_list_char(E_1,C,V,E_2),S_0),hAPP_v834067052t_char(val_list_char,V_1_2)),S_1)))) # label(fact_937_Try) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 994 (all Fa all Da all Pa all Eb all S_0 all E_b all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),throw_list_char(E_b)),S_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAcc_list_char(Eb,Fa,Da),S_0),throw_list_char(E_b)),S_1)))) # label(fact_938_eval__evals_OFAccThrow) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 995 (all C_1 all Pa all Eb all S_0 all E_b all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),throw_list_char(E_b)),S_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Eb,C_1),S_0),throw_list_char(E_b)),S_1)))) # label(fact_939_WhileCondThrow) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 996 (all Pa all Eb all Hb all Lb all E_b all H_b all L_b (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))) -> hBOOL(hext(Hb,H_b)))) # label(fact_940_eval__hext) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 997 (all Fa all Da all E_2 all E_b all S_2_1 all Pa all E_1 all S_0 all V_1 all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),hAPP_v834067052t_char(val_list_char,V_1)),S_1)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1),throw_list_char(E_b)),S_2_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAss_list_char(E_1,Fa,Da,E_2),S_0),throw_list_char(E_b)),S_2_1))))) # label(fact_941_eval__evals_OFAssThrow2) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 998 (all Eb all S all E_b all S_2 all Pa (hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),E_b),S_2)) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),transi2024712006on_val(red(Pa))))))) # label(fact_942_big__by__small) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 999 (all E_b all S_2 all Eb all S 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,Eb),S)),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_b),S_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),E_b),S_2)))))) # label(fact_943_extend__eval) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 1000 (all V_1 all M all Esa all S all Es_a all S_2 all Pa (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),S_2)),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_1),M,Esa)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,V_1),M,Es_a)),S_2)),transi2024712006on_val(red(Pa)))))) # label(fact_944_CallRedsParams) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 1001 (all Pa all B all C_1 all S all E_b all S_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(B,C_1),S),E_b),S_2)) -> ((E_b = hAPP_v834067052t_char(val_list_char,unit) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,B,S),hAPP_v834067052t_char(val_list_char,bool(fFalse))),S_2))) -> ((all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,B,S),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1_1)) -> (all V_1_3 all S_2_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,C_1,S_1_1),hAPP_v834067052t_char(val_list_char,V_1_3)),S_2_2)) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(B,C_1),S_2_2),E_b),S_2)))))) -> ((all E (E_b = throw_list_char(E) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,B,S),throw_list_char(E)),S_2)))) -> -(all S_1_1 all E (E_b = throw_list_char(E) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,B,S),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1_1)) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,C_1,S_1_1),throw_list_char(E)),S_2)))))))))) # label(fact_945_eval__cases_I11_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 1002 (all E_b all S_2 all Eb all S 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,Eb),S)),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_b),S_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),E_b),S_2)))))) # label(fact_946_extend__1__eval) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 1003 (all Pa all E_1 all E_2 all S all E_b all S_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,seq_list_char(E_1,E_2),S),E_b),S_2)) -> ((all V_2 all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S),hAPP_v834067052t_char(val_list_char,V_2)),S_1_1)) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_1),E_b),S_2)))) -> -(all E_3 (E_b = throw_list_char(E_3) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S),throw_list_char(E_3)),S_2))))))) # label(fact_947_eval__cases_I9_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 1004 (all Esa all Hb all Lb all Es_a all H_b all L_b all Pa (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))),reds(Pa))) -> hBOOL(hext(Hb,H_b)))) # label(fact_948_reds__hext__incr) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 1005 (all V_1 all M all Esa all S all Es_a all S_2 all Pa (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),S_2)),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_1),M,Esa)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,V_1),M,Es_a)),S_2)),red(Pa))))) # label(fact_949_red__reds_OCallParams) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 1006 (all Pa (hBOOL(wf_pro755087577t_char(wf_J_mdecl,Pa)) -> hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)))) # label(fact_950_wf__prog__wwf__prog) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 1007 (all Eb all S all E_b all S_2 all Pa (hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),E_b),S_2)) <-> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),transi2024712006on_val(red(Pa)))) & hBOOL(final_list_char(E_b))))) # label(fact_951_big__iff__small) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 1008 (all Eb all S all E_b all S_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,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),transi2024712006on_val(red(Pa)))) -> (hBOOL(final_list_char(E_b)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),E_b),S_2)))))) # label(fact_952_small__by__big) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 1009 (all Esa all Es_a all S_2_1 all Eb all S_0 all V_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,Eb),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_1)),S_1)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),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,cons_exp_list_char(Eb,Esa)),S_0)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_1),Es_a)),S_2_1)),transi374442731on_val(reds(Pa))))))) # label(fact_953_ListRedsVal) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 1010 (all Es_a all S_2 all Esa all S all Es_1 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,Esa),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_1),S_3)),transi374442731on_val(reds(Pa)))) -> (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Es_1,S_3),Es_a),S_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S),Es_a),S_2)))))) # label(fact_954_extend__evals) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 1011 (all Esa all S all Es_a all S_2 all Pa (hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S),Es_a),S_2)) -> hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),S_2)),transi374442731on_val(reds(Pa))))))) # label(fact_955_bigs__by__smalls) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 1012 (all Esa all Es_a all S_2_1 all Pa all Eb all S_0 all V_1 all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,V_1)),S_1)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S_1),Es_a),S_2_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,cons_exp_list_char(Eb,Esa),S_0),cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_1),Es_a)),S_2_1))))) # label(fact_956_eval__evals_OCons) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 1013 (all Esa all Pa all Eb all S_0 all E_b all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),throw_list_char(E_b)),S_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,cons_exp_list_char(Eb,Esa),S_0),cons_exp_list_char(throw_list_char(E_b),Esa)),S_1)))) # label(fact_957_ConsThrow) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 1014 (all Pa all Eb all S all E_b all S_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),E_b),S_2)) -> hBOOL(final_list_char(E_b)))) # label(fact_958_eval__final) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 1015 (all Pa all S all Eb (hBOOL(final_list_char(Eb)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),Eb),S)))) # label(fact_959_eval__finalId) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 1016 (all Pa all Esa all Hb all Lb all Es_a all H_b all L_b (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),Es_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))) -> hBOOL(hext(Hb,H_b)))) # label(fact_960_evals__hext) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 1017 (all V_1 all Esa all S all Es_a all S_2 all Pa (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),S_2)),reds(Pa))) -> hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_1),Esa)),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_1),Es_a)),S_2)),reds(Pa))))) # label(fact_961_red__reds_OListRed2) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 1018 (all V_1 all Esa all S all Es_a all S_2 all Pa (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),S_2)),transi374442731on_val(reds(Pa)))) -> hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_1),Esa)),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_1),Es_a)),S_2)),transi374442731on_val(reds(Pa)))))) # label(fact_962_ListReds2) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 1019 (all Esa all Eb all S all E_b all S_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),red(Pa))) -> hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(Eb,Esa)),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(E_b,Esa)),S_2)),reds(Pa))))) # label(fact_963_red__reds_OListRed1) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 1020 (all Es_a all T_8 all Esa all T_7 all Es_1 all T_6 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,Esa),T_7)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_1),T_6)),reds(Pa))) -> (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Es_1,T_6),Es_a),T_8)) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,T_7),Es_a),T_8)))))) # label(fact_964_extend__1__evals) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 1021 (all Esa all Eb all S all E_b all S_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),transi2024712006on_val(red(Pa)))) -> hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(Eb,Esa)),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(E_b,Esa)),S_2)),transi374442731on_val(reds(Pa)))))) # label(fact_965_ListReds1) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 1022 (all P all C_3 all Md (hBOOL(hAPP_P1384137393r_bool(hAPP_l2054741776r_bool(hAPP_l2138409430r_bool(wf_J_mdecl,P),C_3),Md)) -> hBOOL(hAPP_P1384137393r_bool(hAPP_l2054741776r_bool(hAPP_l2138409430r_bool(wwf_J_mdecl,P),C_3),Md)))) # label(fact_966_wf__mdecl__wwf__mdecl) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 1023 (all Pa all Eb all Esa all S all E_b all S_2 (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,cons_exp_list_char(Eb,Esa),S),E_b),S_2)) -> ((all V_2 all S_1_1 all Es (E_b = cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_2),Es) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),hAPP_v834067052t_char(val_list_char,V_2)),S_1_1)) -> -hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S_1_1),Es),S_2))))) -> -(all E (E_b = cons_exp_list_char(throw_list_char(E),Esa) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),throw_list_char(E)),S_2))))))) # label(fact_967_evals__cases_I2_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 1024 (all Ea all Ts all Esa all S all Es_a all S_2 all Pa (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),S_2)),reds(Pa))) -> (hBOOL(wTrts_1(Pa,hAPP_P703866694on_val(hp,S),Ea,Esa,Ts)) -> (hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(Pa,Ea),S)) -> hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(Pa,Ea),S_2)))))) # label(fact_968_reds__preserves__sconf) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 1025 (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_969_redsp__reds__eq) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 1026 (all Ea all Ts all Esa all Hb all Lb all Es_a all H_b all L_b all Pa (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))),reds(Pa))) -> (hBOOL(wTrts_1(Pa,Hb,Ea,Esa,Ts)) -> (hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),Hb),Lb),Ea)) -> hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),H_b),L_b),Ea)))))) # label(fact_970_reds__preserves__lconf) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 1027 (all Ea all Ts all Esa all Hb all Lb all Es_a all H_b all L_b all Pa (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))),reds(Pa))) -> (hBOOL(wTrts_1(Pa,Hb,Ea,Esa,Ts)) -> (hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),Hb)) -> hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),H_b)))))) # label(fact_971_reds__preserves__hconf) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 1028 (all H_b all Pa all Hb all Ea all Esa all Ts (hBOOL(wTrts_1(Pa,Hb,Ea,Esa,Ts)) -> (hBOOL(hext(Hb,H_b)) -> hBOOL(wTrts_1(Pa,H_b,Ea,Esa,Ts))))) # label(fact_972_WTrts__hext__mono) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 1029 (all V_1 all Pa all Esa all S all Es_a all S_2 (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(Pa,Esa,S),Es_a),S_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(Pa,cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_1),Esa),S),cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_1),Es_a)),S_2)))) # label(fact_973_redp__redsp_OListRed2) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 1030 (all Esa all Pa all Eb all S all E_b all S_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(Pa,cons_exp_list_char(Eb,Esa),S),cons_exp_list_char(E_b,Esa)),S_2)))) # label(fact_974_redp__redsp_OListRed1) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 1031 (all M all Ta all Esa all Ts all Pa all Hb all Ea all Eb (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),nt)) -> (hBOOL(wTrts_1(Pa,Hb,Ea,Esa,Ts)) -> hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,call_list_char(Eb,M,Esa)),Ta))))) # label(fact_975_WTrtCallNT) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 1032 (all V_1 all M all Pa all Esa all S all Es_a all S_2 (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(Pa,Esa,S),Es_a),S_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(hAPP_v834067052t_char(val_list_char,V_1),M,Esa),S),call_list_char(hAPP_v834067052t_char(val_list_char,V_1),M,Es_a)),S_2)))) # label(fact_976_redp__redsp_OCallParams) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 1033 (all Pa all Eb all E_1 all E_2 all S all E_b all S_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(Eb,E_1,E_2),S),E_b),S_2)) -> ((all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),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_b),S_2)))) -> ((all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),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_b),S_2)))) -> -(all E (E_b = throw_list_char(E) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),throw_list_char(E)),S_2)))))))) # label(fact_977_eval__cases_I10_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 1034 (all M all Esa all Vs_1_1 all A all Es_2 all S_2_1 all Eb all S0 all V_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,Eb),S0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_1)),S_1)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,append_exp_list_char(hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vs_1_1),cons_exp_list_char(throw_list_char(A),Es_2))),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(Eb,M,Esa)),S0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2_1)),transi2024712006on_val(red(Pa))))))) # label(fact_978_CallRedsThrowParams) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 1035 (all Pa all V_1 all M all S all Esa all Vs_1 all Eb all Es_a (Esa = append_exp_list_char(hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vs_1),cons_exp_list_char(throw_list_char(Eb),Es_a)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(hAPP_v834067052t_char(val_list_char,V_1),M,Esa),S),throw_list_char(Eb)),S)))) # label(fact_979_redp__redsp_OCallThrowParams) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 1036 (all Vs_1 all Es_a all Pa all X_2 all S all E_b all S_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(X_2),S),E_b),S_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,append_exp_list_char(hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vs_1),cons_exp_list_char(throw_list_char(X_2),Es_a)),S),append_exp_list_char(hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vs_1),cons_exp_list_char(E_b,Es_a))),S_2)))) # label(fact_980_list__eval__Throw) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 1037 (all M all Esa all Vs_1 all Ex all Es_a all S_2_1 all Pa all Eb all S_0 all V_1 all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,V_1)),S_1)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S_1),append_exp_list_char(hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vs_1),cons_exp_list_char(throw_list_char(Ex),Es_a))),S_2_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,call_list_char(Eb,M,Esa),S_0),throw_list_char(Ex)),S_2_1))))) # label(fact_981_CallParamsThrow) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 1038 (all V_1 all M all S all Pa all Esa all Vs_1 all Eb all Es_a (Esa = append_exp_list_char(hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vs_1),cons_exp_list_char(throw_list_char(Eb),Es_a)) -> 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_1),M,Esa)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),red(Pa))))) # label(fact_982_red__reds_OCallThrowParams) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 1039 (all Pa all S all Esa (hBOOL(finals_list_char(Esa)) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S),Esa),S)))) # label(fact_983_eval__finalsId) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 1040 (all Pa all Esa all S all Es_a all S_2 (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S),Es_a),S_2)) -> hBOOL(finals_list_char(Es_a)))) # label(fact_984_evals__final) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.60 1041 (all M all Esa all Vs_1 all S_2_1 all Eb all S_0 all S_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S_1)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vs_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(Eb,M,Esa)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_2_1)),transi2024712006on_val(red(Pa))))))) # label(fact_985_CallRedsNull) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1042 (all Esa all Ts all Pa all Hb all Ea all Eb all Ta (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),Ta)) -> (hBOOL(wTrts_1(Pa,Hb,Ea,Esa,Ts)) -> hBOOL(wTrts_1(Pa,Hb,Ea,cons_exp_list_char(Eb,Esa),cons_ty(Ta,Ts)))))) # label(fact_986_WTrtCons) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1043 (all Nat_2 all Nat_1 (addr(Nat_2) = addr(Nat_1) <-> Nat_2 = Nat_1)) # label(fact_987_val_Osimps_I3_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1044 (all Nat addr(Nat) != null) # label(fact_988_val_Osimps_I17_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1045 (all Nat null != addr(Nat)) # label(fact_989_val_Osimps_I16_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1046 (all Nat_1 all Bool addr(Nat_1) != bool(Bool)) # label(fact_990_val_Osimps_I21_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1047 (all Bool all Nat_1 bool(Bool) != addr(Nat_1)) # label(fact_991_val_Osimps_I20_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1048 (all Nat unit != addr(Nat)) # label(fact_992_val_Osimps_I10_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1049 (all Nat addr(Nat) != unit) # label(fact_993_val_Osimps_I11_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1050 (all Pa all Eb all S_0 all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(Eb),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_1)))) # label(fact_994_ThrowNull) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1051 (all Pa all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,throw_list_char(hAPP_v834067052t_char(val_list_char,null)),S),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S))) # label(fact_995_redp__redsp_ORedThrowNull) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1052 (all Fa all Da all E_2 all V_1 all S_2_1 all Pa all E_1 all S_0 all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1),hAPP_v834067052t_char(val_list_char,V_1)),S_2_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAss_list_char(E_1,Fa,Da,E_2),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_2_1))))) # label(fact_996_FAssNull) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1053 (all Fa all Da all Pa all Eb all S_0 all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAcc_list_char(Eb,Fa,Da),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_1)))) # label(fact_997_FAccNull) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1054 (all Pa all Fa all Da all V_1 all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(hAPP_v834067052t_char(val_list_char,null),Fa,Da,hAPP_v834067052t_char(val_list_char,V_1)),S),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S))) # label(fact_998_redp__redsp_ORedFAssNull) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1055 (all Pa all Fa all Da all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAcc_list_char(hAPP_v834067052t_char(val_list_char,null),Fa,Da),S),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S))) # label(fact_999_redp__redsp_ORedFAccNull) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1056 (all S 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)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S)),red(Pa)))) # label(fact_1000_red__reds_ORedThrowNull) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1057 (all Pa all M all Vs_1 all S 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),Vs_1)),S),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S))) # label(fact_1001_redp__redsp_ORedCallNull) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1058 (all Eb all S all S_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S_2)),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(Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_2)),transi2024712006on_val(red(Pa)))))) # label(fact_1002_ThrowRedsNull) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1059 (all Fa all Da all V_1 all S 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),Fa,Da,hAPP_v834067052t_char(val_list_char,V_1))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S)),red(Pa)))) # label(fact_1003_red__reds_ORedFAssNull) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1060 (all Fa all Da all S 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),Fa,Da)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S)),red(Pa)))) # label(fact_1004_red__reds_ORedFAccNull) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1061 (all M all Ps all Vs_1 all S_2_1 all Pa all Eb all S_0 all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Ps,S_1),hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vs_1)),S_2_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,call_list_char(Eb,M,Ps),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_2_1))))) # label(fact_1005_CallNull) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1062 (all Pa all Eb all S_0 all A all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,addr(A))),S_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(Eb),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S_1)))) # label(fact_1006_Throw) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1063 (all Fa all Da all E_2 all V_1 all S_2_1 all E_1 all S_0 all S_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,hAPP_v834067052t_char(val_list_char,null)),S_1)),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)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_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,fAss_list_char(E_1,Fa,Da,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_2_1)),transi2024712006on_val(red(Pa))))))) # label(fact_1007_FAssRedsNull) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1064 (all Fa all Da all Eb all S all S_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S_2)),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(Eb,Fa,Da)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_2)),transi2024712006on_val(red(Pa)))))) # label(fact_1008_FAccRedsNull) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1065 (all M all Vs_1 all S 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),Vs_1))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S)),red(Pa)))) # label(fact_1009_red__reds_ORedCallNull) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1066 (all Pa all Eb all S all E_b all S_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(Eb),S),E_b),S_2)) -> ((all A_1 (E_b = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1))) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),hAPP_v834067052t_char(val_list_char,addr(A_1))),S_2)))) -> ((E_b = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer)))) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),hAPP_v834067052t_char(val_list_char,null)),S_2))) -> -(all E (E_b = throw_list_char(E) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),throw_list_char(E)),S_2)))))))) # label(fact_1010_eval__cases_I12_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1067 (all V all Ta all A all S 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,Ta,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S)),red(Pa)))) # label(fact_1011_red__reds_OBlockThrow) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1068 (all A_2 the_Addr(addr(A_2)) = A_2) # label(fact_1012_the__Addr_Osimps) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1069 (all V all Eb all S all A all S_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2)),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,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2)),transi2024712006on_val(red(Pa)))))) # label(fact_1013_LAssRedsThrow) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1070 (all T_4 (-hBOOL(hAPP_ty_bool(is_refT,T_4)) -> T_4 = void | T_4 = boolean | T_4 = integer)) # label(fact_1014_not__refTE) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1071 (all V all Pa all Eb all S all E_b all S_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,lAss_list_char(V,Eb),S),lAss_list_char(V,E_b)),S_2)))) # label(fact_1015_redp__redsp_OLAssRed) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1072 (all Pa all V all Ta all V_1 all U all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V,Ta,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),hAPP_v834067052t_char(val_list_char,U))),S),hAPP_v834067052t_char(val_list_char,U)),S))) # label(fact_1016_redp__redsp_ORedInitBlock) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1073 (all V all Pa all Eb all S_0 all E_b all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),throw_list_char(E_b)),S_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,lAss_list_char(V,Eb),S_0),throw_list_char(E_b)),S_1)))) # label(fact_1023_eval__evals_OLAssThrow) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1074 (all Pa all V all Eb all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,lAss_list_char(V,throw_list_char(Eb)),S),throw_list_char(Eb)),S))) # label(fact_1024_redp__redsp_OLAssThrow) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1075 (all Pa all V all Ta all U all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V,Ta,hAPP_v834067052t_char(val_list_char,U)),S),hAPP_v834067052t_char(val_list_char,U)),S))) # label(fact_1025_redp__redsp_ORedBlock) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1076 (all V all Ta all V_1 all U all S 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,Ta,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),hAPP_v834067052t_char(val_list_char,U)))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U)),S)),red(Pa)))) # label(fact_1026_red__reds_ORedInitBlock) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1077 (all Pa all V all Ta all V_1 all A all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V,Ta,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))))),S),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S))) # label(fact_1027_redp__redsp_OInitBlockThrow) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1078 (all V all Eb all S all E_b all S_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),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,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(V,E_b)),S_2)),red(Pa))))) # label(fact_1028_red__reds_OLAssRed) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1079 (all V all Ta all V_1 all A all S 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,Ta,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S)),red(Pa)))) # label(fact_1029_red__reds_OInitBlockThrow) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1080 (all V all Eb all S 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,throw_list_char(Eb))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),red(Pa)))) # label(fact_1030_red__reds_OLAssThrow) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1081 (all V all Eb all S all E_b all S_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),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,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(V,E_b)),S_2)),transi2024712006on_val(red(Pa)))))) # label(fact_1031_LAssReds) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1082 (all V all Ta all U all S 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,Ta,hAPP_v834067052t_char(val_list_char,U))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U)),S)),red(Pa)))) # label(fact_1032_red__reds_ORedBlock) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1083 (all Pa all V all Ta all A all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V,Ta,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S))) # label(fact_1033_redp__redsp_OBlockThrow) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1084 (all V_5 all Vs_3 all T_4 all Ts_3 all V_3 all Vs_2 all E_4 blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,cons_list_char(V_5,Vs_3)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,cons_ty(T_4,Ts_3)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,cons_val(V_3,Vs_2)),E_4)))) = block_list_char(V_5,T_4,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_3),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ts_3),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Vs_2),E_4))))))) # label(fact_1034_blocks_Osimps_I1_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1085 (all Pa all Hb all Ea all E_1 all Bop all E_2 all Ta (is_bop(Bop) -> (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,binOp_list_char(E_1,Bop,E_2)),Ta)) -> ((Ta = boolean -> ((exists T_1_1 hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,E_1),T_1_1))) -> ((exists X1 hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,E_2),X1))) -> Bop != c_Expr_Obop_OEq))) -> -(Ta = integer -> (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,E_1),integer)) -> (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,E_2),integer)) -> Bop != add))))))) # label(fact_1035_WTrt__elim__cases_I9_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1086 (all E_2 all Pa all Hb all Ea all E_1 (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,E_1),integer)) -> (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,E_2),integer)) -> hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,binOp_list_char(E_1,add,E_2)),integer))))) # label(fact_1036_WTrtBinOpAdd) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1087 (all Pa all Hb all Eb all T all Ea all V all Ta (hAPP_l512744617ion_ty(Ea,V) = hAPP_ty_option_ty(some_ty,Ta) -> (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),T)) -> (hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T),Ta)) -> hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,lAss_list_char(V,Eb)),void)))))) # label(fact_1037_WTrtLAss) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1088 (all Ta all Eb all Hb all Lb all V all V_1 all E_b all H_b all L_b all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,V,hAPP_val_option_val(some_val,V_1))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))),transi2024712006on_val(red(Pa)))) -> (hBOOL(final_list_char(E_b)) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V,Ta,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),Eb))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,V,hAPP_l207779698on_val(Lb,V))))),transi2024712006on_val(red(Pa))))))) # label(fact_1038_InitBlockRedsFinal) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1089 (all Y (is_bop(Y) -> (Y != c_Expr_Obop_OEq -> Y = add))) # label(fact_1041_bop_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1090 (all L_b all V all Pa all Eb all S_0 all V_1 all Hb all Lb (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,V_1)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))) -> (L_b = fun_up1149430426on_val(Lb,V,hAPP_val_option_val(some_val,V_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,lAss_list_char(V,Eb),S_0),hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),L_b)))))) # label(fact_1042_LAss) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1091 (all Pa all V all V_1 all Hb all Lb hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,V,hAPP_val_option_val(some_val,V_1)))))) # label(fact_1043_redp__redsp_ORedLAss) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1092 (all Ta all V_4 all Pa all Eb all Hb all Lb all V all V_1 all E_b all H_b all L_b (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,V,hAPP_val_option_val(some_val,V_1)))),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))) -> (hAPP_l207779698on_val(L_b,V) = hAPP_val_option_val(some_val,V_4) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V,Ta,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),Eb)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),block_list_char(V,Ta,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_4)),E_b))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,V,hAPP_l207779698on_val(Lb,V)))))))) # label(fact_1044_redp__redsp_OInitBlockRed) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1093 (all V all V_1 all Hb all Lb 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,hAPP_v834067052t_char(val_list_char,V_1))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,V,hAPP_val_option_val(some_val,V_1))))),red(Pa)))) # label(fact_1045_red__reds_ORedLAss) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1094 (all V all Eb all S all V_1 all H_b all L_b all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_1)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))),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,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,V,hAPP_val_option_val(some_val,V_1))))),transi2024712006on_val(red(Pa)))))) # label(fact_1046_LAssRedsVal) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1095 (all Ta all V_4 all Eb all Hb all Lb all V all V_1 all E_b all H_b all L_b all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,V,hAPP_val_option_val(some_val,V_1))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))),red(Pa))) -> (hAPP_l207779698on_val(L_b,V) = hAPP_val_option_val(some_val,V_4) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V,Ta,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),Eb))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V,Ta,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_4)),E_b))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,V,hAPP_l207779698on_val(Lb,V))))),red(Pa)))))) # label(fact_1047_red__reds_OInitBlockRed) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1096 (all Pa all Hb all Ea all V_1 all Eb all Ta (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,lAss_list_char(V_1,Eb)),Ta)) -> -(Ta = void -> (all T_3 (hAPP_l512744617ion_ty(Ea,V_1) = hAPP_ty_option_ty(some_ty,T_3) -> (all T_5 (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),T_5)) -> -hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_5),T_3))))))))) # label(fact_1048_WTrt__elim__cases_I1_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1097 (all Ta all Eb all Hb all Lb all V all V_1 all E_b all H_b all L_b all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,V,hAPP_val_option_val(some_val,V_1))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))),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,Ta,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),Eb))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V,Ta,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,hAPP_option_val_val(the_val,hAPP_l207779698on_val(L_b,V)))),E_b))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,V,hAPP_l207779698on_val(Lb,V))))),transi2024712006on_val(red(Pa)))))) # label(fact_1049_InitBlockReds) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1098 (all Pa all V all Eb all S all E_b all S_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,lAss_list_char(V,Eb),S),E_b),S_2)) -> ((E_b = hAPP_v834067052t_char(val_list_char,unit) -> (all V_2 all H all L_4 (S_2 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),fun_up1149430426on_val(L_4,V,hAPP_val_option_val(some_val,V_2))) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),hAPP_v834067052t_char(val_list_char,V_2)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L_4)))))) -> -(all E (E_b = throw_list_char(E) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),throw_list_char(E)),S_2))))))) # label(fact_1050_eval__cases_I4_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1099 (all Bop all V_1 all E_2 all V_2_2 all S_2_1 all E_1 all S_0 all V_1_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,E_1),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_1_2)),S_1)),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)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_2_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_2))) = hAPP_val_option_val(some_val,V_1) -> 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_1)),S_2_1)),transi2024712006on_val(red(Pa)))))))) # label(fact_1051_BinOpRedsVal) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1100 (all V_1_2 all V_2_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_2))) = hAPP_val_option_val(some_val,bool(hAPP_val_bool(hAPP_v1392248405l_bool(fequal_val,V_1_2),V_2_2)))) # label(fact_1052_binop_Osimps_I1_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1101 (all Bop all V_1 all E_2 all V_2_2 all S_2_1 all Pa all E_1 all S_0 all V_1_2 all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),hAPP_v834067052t_char(val_list_char,V_1_2)),S_1)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1),hAPP_v834067052t_char(val_list_char,V_2_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_2))) = hAPP_val_option_val(some_val,V_1) -> 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_1)),S_2_1)))))) # label(fact_1053_BinOp) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1102 (all Pa all S all Bop all V_1_2 all V_2_2 all V_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_2))) = hAPP_val_option_val(some_val,V_1) -> 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_2)),S),hAPP_v834067052t_char(val_list_char,V_1)),S)))) # label(fact_1054_redp__redsp_ORedBinOp) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1103 (all S all Pa all Bop all V_1_2 all V_2_2 all V_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_2))) = hAPP_val_option_val(some_val,V_1) -> 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_2))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_1)),S)),red(Pa))))) # label(fact_1055_red__reds_ORedBinOp) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1104 (all Pa all E_1 all Bop all E_2 all S all E_b all S_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,binOp_list_char(E_1,Bop,E_2),S),E_b),S_2)) -> ((all V_1_3 all S_1_1 all V_2_3 all V_2 (E_b = hAPP_v834067052t_char(val_list_char,V_2) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S),hAPP_v834067052t_char(val_list_char,V_1_3)),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_3)),S_2)) -> binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Bop),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,V_1_3),V_2_3))) != hAPP_val_option_val(some_val,V_2))))) -> ((all E_3 (E_b = throw_list_char(E_3) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S),throw_list_char(E_3)),S_2)))) -> -(all V_1_3 all S_1_1 all E_3 (E_b = throw_list_char(E_3) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S),hAPP_v834067052t_char(val_list_char,V_1_3)),S_1_1)) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_1),throw_list_char(E_3)),S_2))))))))) # label(fact_1056_eval__cases_I3_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1105 (all Fa all Da all V_1 all C all Fs all Eb all S all A all S_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A))),S_2)),transi2024712006on_val(red(Pa)))) -> (hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_2),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs)) -> (hAPP_P2094403585on_val(Fs,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Fa),Da)) = hAPP_val_option_val(some_val,V_1) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(Eb,Fa,Da)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_1)),S_2)),transi2024712006on_val(red(Pa)))))))) # label(fact_1057_FAccRedsVal) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1106 (all Pa all Hb all Ea all V all Ta all Eb all T (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,fun_up424764369ion_ty(Ea,V,hAPP_ty_option_ty(some_ty,Ta)),Eb),T)) -> hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,block_list_char(V,Ta,Eb)),T)))) # label(fact_1058_WTrtBlock) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1107 (all Fs_2 all Hb all A all C all Fs (hAPP_n546249108on_val(Hb,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs)) -> hBOOL(hext(Hb,fun_up2041264236on_val(Hb,A,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_2))))))) # label(fact_1059_hext__upd__obj) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1108 (all H_2_1 all Fs_2 all Fa all Da all C all Fs all E_2 all V_1 all H_2 all L_2 all Pa all E_1 all S_0 all A all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),hAPP_v834067052t_char(val_list_char,addr(A))),S_1)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1),hAPP_v834067052t_char(val_list_char,V_1)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),L_2))) -> (hAPP_n546249108on_val(H_2,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs)) -> (Fs_2 = fun_up204312361on_val(Fs,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Fa),Da),hAPP_val_option_val(some_val,V_1)) -> (H_2_1 = fun_up2041264236on_val(H_2,A,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,Fa,Da,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_1060_FAss) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1109 (all Pa all Fa all Da all V_1 all Lb all Hb all A all C all Fs (hAPP_n546249108on_val(Hb,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(hAPP_v834067052t_char(val_list_char,addr(A)),Fa,Da,hAPP_v834067052t_char(val_list_char,V_1)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,fun_up2041264236on_val(Hb,A,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),fun_up204312361on_val(Fs,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Fa),Da),hAPP_val_option_val(some_val,V_1)))))),Lb))))) # label(fact_1061_redp__redsp_ORedFAss) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1110 (all Fa all Da all V_1 all Lb all Pa all Hb all A all C all Fs (hAPP_n546249108on_val(Hb,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs)) -> 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)),Fa,Da,hAPP_v834067052t_char(val_list_char,V_1))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),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(Hb,A,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),fun_up204312361on_val(Fs,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Fa),Da),hAPP_val_option_val(some_val,V_1)))))),Lb))),red(Pa))))) # label(fact_1062_red__reds_ORedFAss) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1111 (all Fa all Da all C all Fs all E_2 all V_1 all H_2 all L_2 all E_1 all S_0 all A all S_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,hAPP_v834067052t_char(val_list_char,addr(A))),S_1)),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)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_1)),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)) = hAPP_n546249108on_val(H_2,A) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(E_1,Fa,Da,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,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),fun_up204312361on_val(Fs,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Fa),Da),hAPP_val_option_val(some_val,V_1)))))),L_2))),transi2024712006on_val(red(Pa)))))))) # label(fact_1063_FAssRedsVal) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1112 (all Fa all Da all V_1 all C all Fs all Pa all Eb all S_0 all A all Hb all Lb (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,addr(A))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))) -> (hAPP_n546249108on_val(Hb,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs)) -> (hAPP_P2094403585on_val(Fs,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Fa),Da)) = hAPP_val_option_val(some_val,V_1) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAcc_list_char(Eb,Fa,Da),S_0),hAPP_v834067052t_char(val_list_char,V_1)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))))))) # label(fact_1064_FAcc) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1113 (all Pa all Fa all Da all V_1 all S all A all C all Fs (hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs)) -> (hAPP_P2094403585on_val(Fs,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Fa),Da)) = hAPP_val_option_val(some_val,V_1) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAcc_list_char(hAPP_v834067052t_char(val_list_char,addr(A)),Fa,Da),S),hAPP_v834067052t_char(val_list_char,V_1)),S))))) # label(fact_1065_redp__redsp_ORedFAcc) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1114 (all Pa all Fa all Da all V_1 all S all A all C all Fs (hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs)) -> (hAPP_P2094403585on_val(Fs,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Fa),Da)) = hAPP_val_option_val(some_val,V_1) -> 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)),Fa,Da)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_1)),S)),red(Pa)))))) # label(fact_1066_red__reds_ORedFAcc) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1115 (all E_2 all V all E_2_a all H_2 all L_2 all C all Da all Fs all E_1 all S_0 all A all H_1_1 all L_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,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1_1),L_1_2))),transi2024712006on_val(red(Pa)))) -> (hAPP_n546249108on_val(H_1_1,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Da),Fs)) -> (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Da),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_1),fun_up1149430426on_val(L_1_2,V,hAPP_val_option_val(some_val,addr(A)))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),L_2))),transi2024712006on_val(red(Pa)))) -> (hBOOL(final_list_char(E_2_a)) -> 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,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),fun_up1149430426on_val(L_2,V,hAPP_l207779698on_val(L_1_2,V))))),transi2024712006on_val(red(Pa)))))))))) # label(fact_1067_TryCatchRedsFinal) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1116 (all Hb all H_b (hBOOL(hext(Hb,H_b)) <-> (all A_1 all C_2 all Fs_1 (hAPP_n546249108on_val(Hb,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C_2),Fs_1)) -> (exists Fs_3 hAPP_n546249108on_val(H_b,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C_2),Fs_3))))))) # label(fact_1068_hext__def) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1117 (all A all C all Fs all Hb all H_b (hBOOL(hext(Hb,H_b)) -> (hAPP_n546249108on_val(Hb,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs)) -> (exists Fs_3 hAPP_n546249108on_val(H_b,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_3)))))) # label(fact_1069_hext__objD) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1118 (all V all E_2 all C all Da all Fs all E_1 all S all A all Hb all Lb all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),transi2024712006on_val(red(Pa)))) -> (hAPP_n546249108on_val(Hb,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Da),Fs)) -> (-hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Da),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,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),transi2024712006on_val(red(Pa)))))))) # label(fact_1070_TryRedsFail) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1119 (all C all Da all Fs all Pa all Eb all S_0 all A all Hb all Lb (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,addr(A))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))) -> (hAPP_n546249108on_val(Hb,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Da),Fs)) -> (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Da),C),transi1395422419t_char(subcls851966956t_char(Pa)))) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cast_list_char(C,Eb),S_0),hAPP_v834067052t_char(val_list_char,addr(A))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))))))) # label(fact_1071_Cast) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1120 (all V all E_2 all C all Da all Fs all Pa all E_1 all S_0 all A all H_1_1 all L_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1_1),L_1_2))) -> (hAPP_n546249108on_val(H_1_1,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Da),Fs)) -> (-hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Da),C),transi1395422419t_char(subcls851966956t_char(Pa)))) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,tryCatch_list_char(E_1,C,V,E_2),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1_1),L_1_2))))))) # label(fact_1072_TryThrow) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1121 (all C all Pa all S all A all Da all Fs (hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Da),Fs)) -> (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Da),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)))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A))),S)),red(Pa)))))) # label(fact_1073_red__reds_ORedCast) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1122 (all V all E_2 all C all Pa all S all A all Da all Fs (hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Da),Fs)) -> (-hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Da),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))),C,V,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S)),red(Pa)))))) # label(fact_1074_red__reds_ORedTryFail) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1123 (all C all Da all Fs all Eb all S all A all S_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A))),S_2)),transi2024712006on_val(red(Pa)))) -> (hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_2),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Da),Fs)) -> (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Da),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,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A))),S_2)),transi2024712006on_val(red(Pa)))))))) # label(fact_1075_CastRedsAddr) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1124 (all E_2 all V all E_2_a all H_2 all L_2 all C all Da all Fs all Pa all E_1 all S_0 all A all H_1_1 all L_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1_1),L_1_2))) -> (hAPP_n546249108on_val(H_1_1,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Da),Fs)) -> (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Da),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_1),fun_up1149430426on_val(L_1_2,V,hAPP_val_option_val(some_val,addr(A))))),E_2_a),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,E_2),S_0),E_2_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),fun_up1149430426on_val(L_2,V,hAPP_l207779698on_val(L_1_2,V)))))))))) # label(fact_1076_TryCatch) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1125 (all C all Da all Fs all Eb all S all A all S_2 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A))),S_2)),transi2024712006on_val(red(Pa)))) -> (hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_2),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Da),Fs)) -> (-hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Da),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,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(classCast))))),S_2)),transi2024712006on_val(red(Pa)))))))) # label(fact_1077_CastRedsFail) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1126 (all C all Pa all S all A all Da all Fs (hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Da),Fs)) -> (-hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Da),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)))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(classCast))))),S)),red(Pa)))))) # label(fact_1078_red__reds_ORedCastFail) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1127 (all C all Da all Fs all Pa all Eb all S_0 all A all Hb all Lb (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,addr(A))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))) -> (hAPP_n546249108on_val(Hb,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Da),Fs)) -> (-hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Da),C),transi1395422419t_char(subcls851966956t_char(Pa)))) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cast_list_char(C,Eb),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(classCast))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))))))) # label(fact_1079_CastFail) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1128 (all V all E_2 all C all Pa all S all A all Da all Fs (hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Da),Fs)) -> (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Da),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))),C,V,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V,hAPP_list_char_ty(class,C),seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,addr(A))),E_2))),S)),red(Pa)))))) # label(fact_1080_red__reds_ORedTryCatch) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1129 (all Ta all H_0_1 all L_0_1 all V 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_1),fun_up1149430426on_val(L_0_1,V,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,Ta,E_0)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_0_1),L_0_1))),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,hAPP_l207779698on_val(L_0_1,V))))),transi2024712006on_val(red(Pa)))))))) # label(fact_1081_BlockRedsFinal) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1130 (all V all C all E_2 all T_2 all Pa all Hb all Ea all E_1 all T_1 (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,E_1),T_1)) -> (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,fun_up424764369ion_ty(Ea,V,hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,C))),E_2),T_2)) -> (hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_1),T_2)) -> hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,tryCatch_list_char(E_1,C,V,E_2)),T_2)))))) # label(fact_1082_WTrtTry) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1131 (all List_1 void != hAPP_list_char_ty(class,List_1)) # label(fact_1083_ty_Osimps_I8_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1132 (all List_1 hAPP_list_char_ty(class,List_1) != void) # label(fact_1084_ty_Osimps_I9_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1133 (all List_3 all List_2 (hAPP_list_char_ty(class,List_3) = hAPP_list_char_ty(class,List_2) <-> List_3 = List_2)) # label(fact_1085_ty_Oinject) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1134 (all List_1 hAPP_list_char_ty(class,List_1) != boolean) # label(fact_1086_ty_Osimps_I15_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1135 (all List_1 boolean != hAPP_list_char_ty(class,List_1)) # label(fact_1087_ty_Osimps_I14_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1136 (all List_1 nt != hAPP_list_char_ty(class,List_1)) # label(fact_1088_ty_Osimps_I20_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1137 (all List_1 hAPP_list_char_ty(class,List_1) != nt) # label(fact_1089_ty_Osimps_I21_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1138 (all List_1 integer != hAPP_list_char_ty(class,List_1)) # label(fact_1090_ty_Osimps_I18_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1139 (all List_1 hAPP_list_char_ty(class,List_1) != integer) # label(fact_1091_ty_Osimps_I19_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1140 (all Ta (hBOOL(hAPP_ty_bool(is_refT,Ta)) <-> Ta = nt | (exists C_2 Ta = hAPP_list_char_ty(class,C_2)))) # label(fact_1092_is__refT__def) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1141 (all C_3 hAPP_ty_val(default_val,hAPP_list_char_ty(class,C_3)) = null) # label(fact_1093_default__val_Osimps_I5_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1142 (all Ta all Pa all E_0 all H_0_1 all L_0_1 all V all E_1 all H_1_1 all L_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_0,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_0_1),fun_up1149430426on_val(L_0_1,V,none_val))),E_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1_1),L_1_2))) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,block_list_char(V,Ta,E_0),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_0_1),L_0_1)),E_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1_1),fun_up1149430426on_val(L_1_2,V,hAPP_l207779698on_val(L_0_1,V))))))) # label(fact_1094_Block) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1143 (all V_1_1 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_1),addr(V_3)))) = none_val) # label(fact_1095_binop_Osimps_I10_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1144 (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_1096_binop_Osimps_I6_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1145 (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_1097_binop_Osimps_I4_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1146 (all V_1_1 binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,V_1_1),null))) = none_val) # label(fact_1098_binop_Osimps_I8_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1147 (all V_1_2 all V_1 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_1)))) = none_val) # label(fact_1099_binop_Osimps_I9_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1148 (all V_1 all V_2_2 binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,bool(V_1)),V_2_2))) = none_val) # label(fact_1100_binop_Osimps_I5_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1149 (all V_1_1 binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,V_1_1),unit))) = none_val) # label(fact_1101_binop_Osimps_I7_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1150 (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_1102_binop_Osimps_I3_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1151 (all Pa all Hb all Ea all E_1 all C all V all E_2 all Ta (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,tryCatch_list_char(E_1,C,V,E_2)),Ta)) -> -(all T_1_1 (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,E_1),T_1_1)) -> (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,fun_up424764369ion_ty(Ea,V,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_1),Ta))))))) # label(fact_1103_WTrt__elim__cases_I5_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1152 (all Ta all V_1 all Eb all Hb all Lb all V all E_b all H_b all L_b all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,V,none_val)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))),red(Pa))) -> (hAPP_l207779698on_val(L_b,V) = hAPP_val_option_val(some_val,V_1) -> (-hBOOL(assigned(V,Eb)) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V,Ta,Eb)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V,Ta,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),E_b))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,V,hAPP_l207779698on_val(Lb,V))))),red(Pa))))))) # label(fact_1104_red__reds_OBlockRedSome) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1153 (all X_2 all Hb all A (hAPP_n546249108on_val(Hb,A) = none_P179726773on_val -> hBOOL(hext(Hb,fun_up2041264236on_val(Hb,A,hAPP_P1510515380on_val(some_P948696889on_val,X_2)))))) # label(fact_1105_hext__new) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1154 (all Ta all Pa all Eb all Hb all Lb all V all E_b all H_b all L_b (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,V,none_val))),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))) -> (hAPP_l207779698on_val(L_b,V) = none_val -> (-hBOOL(assigned(V,Eb)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V,Ta,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),block_list_char(V,Ta,E_b)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,V,hAPP_l207779698on_val(Lb,V))))))))) # label(fact_1106_redp__redsp_OBlockRedNone) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1155 (all Ta all Eb all Hb all Lb all V all E_b all H_b all L_b all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,V,none_val)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))),red(Pa))) -> (hAPP_l207779698on_val(L_b,V) = none_val -> (-hBOOL(assigned(V,Eb)) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V,Ta,Eb)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V,Ta,E_b)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,V,hAPP_l207779698on_val(Lb,V))))),red(Pa))))))) # label(fact_1107_red__reds_OBlockRedNone) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.61 1156 (all Ta all V_1 all Pa all Eb all Hb all Lb all V all E_b all H_b all L_b (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,V,none_val))),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))) -> (hAPP_l207779698on_val(L_b,V) = hAPP_val_option_val(some_val,V_1) -> (-hBOOL(assigned(V,Eb)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V,Ta,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),block_list_char(V,Ta,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),E_b))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,V,hAPP_l207779698on_val(Lb,V))))))))) # label(fact_1108_redp__redsp_OBlockRedSome) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1157 (all Y (Y != void -> (Y != boolean -> (Y != integer -> (Y != nt -> -(all List Y != hAPP_list_char_ty(class,List))))))) # label(fact_1109_ty_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1158 (all Pa all V all Ta all E_1 all S all E_b all S_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,block_list_char(V,Ta,E_1),S),E_b),S_2)) -> -(all H_0 all L_0 (S = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_0),L_0) -> (all H_1 all L_1_1 (S_2 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),fun_up1149430426on_val(L_1_1,V,hAPP_l207779698on_val(L_0,V))) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_0),fun_up1149430426on_val(L_0,V,none_val))),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),L_1_1))))))))) # label(fact_1110_eval__cases_I8_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1159 (all V all Eb (hBOOL(assigned(V,Eb)) <-> (exists V_2 exists E Eb = seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_2)),E)))) # label(fact_1111_assigned__def) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1160 (all T_4 (hBOOL(hAPP_ty_bool(is_refT,T_4)) -> (T_4 != nt -> -(all C_2 T_4 != hAPP_list_char_ty(class,C_2))))) # label(fact_1112_refTE) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1161 (all V all E_2 all Pa all C all S all A all Da all Fs (hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Da),Fs)) -> (hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(transi1065307915t_char(subcls744239332t_char(Pa)),Da),C)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,tryCatch_list_char(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))),C,V,E_2),S),block_list_char(V,hAPP_list_char_ty(class,C),seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,addr(A))),E_2))),S))))) # label(fact_1113_redp__redsp_ORedTryCatch) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1162 (all Pa all C all S all A all Da all Fs (hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Da),Fs)) -> (-hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(transi1065307915t_char(subcls744239332t_char(Pa)),Da),C)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cast_list_char(C,hAPP_v834067052t_char(val_list_char,addr(A))),S),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(classCast))))),S))))) # label(fact_1114_redp__redsp_ORedCastFail) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1163 (all Pa all C all S all A all Da all Fs (hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Da),Fs)) -> (hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(transi1065307915t_char(subcls744239332t_char(Pa)),Da),C)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cast_list_char(C,hAPP_v834067052t_char(val_list_char,addr(A))),S),hAPP_v834067052t_char(val_list_char,addr(A))),S))))) # label(fact_1115_redp__redsp_ORedCast) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1164 (all V all E_2 all Pa all C all S all A all Da all Fs (hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Da),Fs)) -> (-hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(transi1065307915t_char(subcls744239332t_char(Pa)),Da),C)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,tryCatch_list_char(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))),C,V,E_2),S),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S))))) # label(fact_1116_redp__redsp_ORedTryFail) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1165 (all Pa all Hb all Ea all Eb all Ta (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),Ta)) -> (hBOOL(hAPP_ty_bool(is_refT,Ta)) -> (hBOOL(final_list_char(Eb)) -> (Eb != hAPP_v834067052t_char(val_list_char,null) -> (((exists A_1 Eb = hAPP_v834067052t_char(val_list_char,addr(A_1))) -> (all C_2 Ta != hAPP_list_char_ty(class,C_2))) -> -(all A_1 Eb != throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)))))))))) # label(fact_1117_finalRefE) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1166 (all E_2 all T_2 all Fa all Ta all Da all Pa all Hb all Ea all E_1 all C (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,E_1),hAPP_list_char_ty(class,C))) -> (hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C,Fa,Ta),Da)) -> (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,E_2),T_2)) -> (hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_2),Ta)) -> hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,fAss_list_char(E_1,Fa,Da,E_2)),void))))))) # label(fact_1118_WTrtFAss) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1167 (all Fa all Ta all Da all Pa all Hb all Ea all Eb all C (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),hAPP_list_char_ty(class,C))) -> (hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C,Fa,Ta),Da)) -> hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,fAcc_list_char(Eb,Fa,Da)),Ta))))) # label(fact_1119_WTrtFAcc) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1168 (all Pa all Hb all Ea all Eb all Fa all Da all Ta (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,fAcc_list_char(Eb,Fa,Da)),Ta)) -> ((all C_2 (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),hAPP_list_char_ty(class,C_2))) -> -hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C_2,Fa,Ta),Da)))) -> hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),nt))))) # label(fact_1120_WTrt__elim__cases_I7_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1169 (all Pa all Hb all Ea all Eb all Fa all Da all V_1 all Ta (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,fAss_list_char(Eb,Fa,Da,V_1)),Ta)) -> ((Ta = void -> (all C_2 (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),hAPP_list_char_ty(class,C_2))) -> (all T_3 (hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C_2,Fa,T_3),Da)) -> (all T_2_1 (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,V_1),T_2_1)) -> -hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_2_1),T_3))))))))) -> -(Ta = void -> (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),nt)) -> (all T_2_1 -hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,V_1),T_2_1)))))))) # label(fact_1121_WTrt__elim__cases_I8_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1170 (all Pa all Hb all Ea all Eb all C (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),hAPP_list_char_ty(class,C))) -> (hBOOL(final_list_char(Eb)) -> ((all A_1 Eb != hAPP_v834067052t_char(val_list_char,addr(A_1))) -> -(all A_1 Eb != throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)))))))) # label(fact_1122_final__addrE) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1171 (all C all Pa all Hb all Ea all Eb all Ta (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),Ta)) -> (hBOOL(hAPP_ty_bool(is_refT,Ta)) -> (hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),C)) -> hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,cast_list_char(C,Eb)),hAPP_list_char_ty(class,C))))))) # label(fact_1123_WTrtCast) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1172 (all Pa all Hb all Ea all Da all Eb all Ta (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,cast_list_char(Da,Eb)),Ta)) -> -(Ta = hAPP_list_char_ty(class,Da) -> (all T_3 (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),T_3)) -> (hBOOL(hAPP_ty_bool(is_refT,T_3)) -> -hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),Da)))))))) # label(fact_1124_WTrt__elim__cases_I6_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1173 (all H_b all Hb ((all A_1 all C_2 all Fs_1 (hAPP_n546249108on_val(Hb,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C_2),Fs_1)) -> (exists Fs_3 hAPP_n546249108on_val(H_b,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C_2),Fs_3))))) -> hBOOL(hext(Hb,H_b)))) # label(fact_1125_hextI) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1174 (all Pa all Hb all Ea all Vs_1 all Ts (hBOOL(wTrts_1(Pa,Hb,Ea,hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vs_1),Ts)) <-> hAPP_l2006940821ion_ty(map_val_option_ty(typeof_h(Hb)),Vs_1) = hAPP_l1487035934ion_ty(map_ty_option_ty(some_ty),Ts))) # label(fact_1126_WTrts__Val) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1175 (all Pa all Ea all Hb all V_1 all Ta (hAPP_val_option_ty(typeof_h(Hb),V_1) = hAPP_ty_option_ty(some_ty,Ta) -> hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,hAPP_v834067052t_char(val_list_char,V_1)),Ta)))) # label(fact_1127_WTrtVal) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1176 (all V_1 all Ta all Hb all H_b (hBOOL(hext(Hb,H_b)) -> (hAPP_val_option_ty(typeof_h(Hb),V_1) = hAPP_ty_option_ty(some_ty,Ta) -> hAPP_val_option_ty(typeof_h(H_b),V_1) = hAPP_ty_option_ty(some_ty,Ta)))) # label(fact_1128_hext__typeof__mono) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1177 (all Hb all V_1 all Ta (hAPP_val_option_ty(typeof_h(hAPP_o1576581476on_val(cOMBK_1944287343al_nat,none_P179726773on_val)),V_1) = hAPP_ty_option_ty(some_ty,Ta) -> hAPP_val_option_ty(typeof_h(Hb),V_1) = hAPP_ty_option_ty(some_ty,Ta))) # label(fact_1129_typeof__lit__typeof) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1178 (all Hb hAPP_val_option_ty(typeof_h(Hb),null) = hAPP_ty_option_ty(some_ty,nt)) # label(fact_1130_typeof__h_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1179 (all Hb all B hAPP_val_option_ty(typeof_h(Hb),bool(B)) = hAPP_ty_option_ty(some_ty,boolean)) # label(fact_1131_typeof__h_Osimps_I3_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1180 (all Hb hAPP_val_option_ty(typeof_h(Hb),unit) = hAPP_ty_option_ty(some_ty,void)) # label(fact_1132_typeof__h_Osimps_I1_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1181 (all Hb all A hAPP_val_option_ty(typeof_h(Hb),addr(A)) = option1388193227on_val(none_ty,hAPP_f46308763ion_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(Hb,A))) # label(fact_1133_typeof__h_Osimps_I5_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1182 (all Ea all V all E_2 all T_2 all Pa all Ta all Hb all V_1 all T_1 (hAPP_val_option_ty(typeof_h(Hb),V_1) = hAPP_ty_option_ty(some_ty,T_1) -> (hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_1),Ta)) -> (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,fun_up424764369ion_ty(Ea,V,hAPP_ty_option_ty(some_ty,Ta)),E_2),T_2)) -> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,block_list_char(V,Ta,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),E_2))),T_2)))))) # label(fact_1134_WTrt_H__WTrts_H_Ointros_I16_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1183 (all Pa all Ea all Hb all V_1 all Ta (hAPP_val_option_ty(typeof_h(Hb),V_1) = hAPP_ty_option_ty(some_ty,Ta) -> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,hAPP_v834067052t_char(val_list_char,V_1)),Ta)))) # label(fact_1135_WTrt_H__WTrts_H_Ointros_I3_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1184 (all Pa all Hb all Ea all Eb all Ta (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,Eb),Ta)) <-> hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),Ta)))) # label(fact_1136_wt_H__iff__wt) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1185 (all Pa all Hb all Ea all Eb all Ta (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,Eb),Ta)) -> hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),Ta)))) # label(fact_1137_wt_H__wt) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1186 (all Pa all Hb all Ea all Eb all Ta (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),Ta)) -> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,Eb),Ta)))) # label(fact_1138_wt__wt_H) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1187 (all E_2 all T_2 all Pa all Hb all Ea all E_1 all T_1 (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,E_1),T_1)) -> (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,E_2),T_2)) -> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,seq_list_char(E_1,E_2)),T_2))))) # label(fact_1139_WTrt_H__WTrts_H_Ointros_I18_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1188 (all Fa all Da all Ta all Pa all Hb all Ea all Eb (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,Eb),nt)) -> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,fAcc_list_char(Eb,Fa,Da)),Ta)))) # label(fact_1140_WTrt_H__WTrts_H_Ointros_I9_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1189 (all Ta all Pa all Hb all Ea all Eb all T_r (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,Eb),T_r)) -> (hBOOL(hAPP_ty_bool(is_refT,T_r)) -> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,throw_list_char(Eb)),Ta))))) # label(fact_1141_WTrt_H__WTrts_H_Ointros_I21_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1190 (all Fa all Da all E_2 all T_2 all Pa all Hb all Ea all E_1 (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,E_1),nt)) -> (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,E_2),T_2)) -> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,fAss_list_char(E_1,Fa,Da,E_2)),void))))) # label(fact_1142_WTrt_H__WTrts_H_Ointros_I11_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1191 (all Ta all E_2 all T_2 all E_1 all T_1 all Pa all Hb all Ea all Eb (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,Eb),boolean)) -> (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,E_1),T_1)) -> (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,E_2),T_2)) -> (hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_1),T_2)) | hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_2),T_1)) -> ((hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_1),T_2)) -> Ta = T_2) -> ((hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_2),T_1)) -> Ta = T_1) -> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,cond_list_char(Eb,E_1,E_2)),Ta))))))))) # label(fact_1143_WTrt_H__WTrts_H_Ointros_I19_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1192 (all C_1 all Ta all Pa all Hb all Ea all Eb (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,Eb),boolean)) -> (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,C_1),Ta)) -> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,while_list_char(Eb,C_1)),void))))) # label(fact_1144_WTrt_H__WTrts_H_Ointros_I20_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1193 (all E_2 all Pa all Hb all Ea all E_1 (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,E_1),integer)) -> (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,E_2),integer)) -> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,binOp_list_char(E_1,add,E_2)),integer))))) # label(fact_1145_WTrt_H__WTrts_H_Ointros_I6_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1194 (all E_2 all T_2 all Pa all Hb all Ea all E_1 all T_1 (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,E_1),T_1)) -> (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,E_2),T_2)) -> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,binOp_list_char(E_1,c_Expr_Obop_OEq,E_2)),boolean))))) # label(fact_1146_WTrt_H__WTrts_H_Ointros_I5_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1195 (all Fa all Ta all Da all Pa all Hb all Ea all Eb all C (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,Eb),hAPP_list_char_ty(class,C))) -> (hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C,Fa,Ta),Da)) -> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,fAcc_list_char(Eb,Fa,Da)),Ta))))) # label(fact_1147_WTrt_H__WTrts_H_Ointros_I8_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1196 (all C all Pa all Hb all Ea all Eb all Ta (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,Eb),Ta)) -> (hBOOL(hAPP_ty_bool(is_refT,Ta)) -> (hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),C)) -> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,cast_list_char(C,Eb)),hAPP_list_char_ty(class,C))))))) # label(fact_1148_WTrt_H__WTrts_H_Ointros_I2_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1197 (all Pa all Hb all Ea all V all Ta all Eb all T (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,fun_up424764369ion_ty(Ea,V,hAPP_ty_option_ty(some_ty,Ta)),Eb),T)) -> (-hBOOL(assigned(V,Eb)) -> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,block_list_char(V,Ta,Eb)),T))))) # label(fact_1149_WTrt_H__WTrts_H_Ointros_I17_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1198 (all V all C all E_2 all T_2 all Pa all Hb all Ea all E_1 all T_1 (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,E_1),T_1)) -> (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,fun_up424764369ion_ty(Ea,V,hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,C))),E_2),T_2)) -> (hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_1),T_2)) -> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,tryCatch_list_char(E_1,C,V,E_2)),T_2)))))) # label(fact_1150_WTrt_H__WTrts_H_Ointros_I22_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1199 (all E_2 all T_2 all Fa all Ta all Da all Pa all Hb all Ea all E_1 all C (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,E_1),hAPP_list_char_ty(class,C))) -> (hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C,Fa,Ta),Da)) -> (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,E_2),T_2)) -> (hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_2),Ta)) -> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,fAss_list_char(E_1,Fa,Da,E_2)),void))))))) # label(fact_1151_WTrt_H__WTrts_H_Ointros_I10_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1200 (all Hb (hBOOL(preallocated(Hb)) -> hAPP_val_option_ty(typeof_h(Hb),addr(addr_of_sys_xcpt(classCast))) = hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,classCast)))) # label(fact_1152_typeof__ClassCast) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1201 (all H_b all Hb (hBOOL(preallocated(Hb)) -> (hBOOL(hext(Hb,H_b)) -> hBOOL(preallocated(H_b))))) # label(fact_1153_preallocated__hext) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1202 (all Fs_2 all A all C all Fs all Hb (hBOOL(preallocated(Hb)) -> (hAPP_n546249108on_val(Hb,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs)) -> hBOOL(preallocated(fun_up2041264236on_val(Hb,A,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_2)))))))) # label(fact_1154_preallocated__upd__obj) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1203 (all X_2 all A all Hb (hBOOL(preallocated(Hb)) -> (hAPP_n546249108on_val(Hb,A) = none_P179726773on_val -> hBOOL(preallocated(fun_up2041264236on_val(Hb,A,hAPP_P1510515380on_val(some_P948696889on_val,X_2))))))) # label(fact_1155_preallocated__new) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1204 (all Hb (hBOOL(preallocated(Hb)) -> hAPP_val_option_ty(typeof_h(Hb),addr(addr_of_sys_xcpt(nullPointer))) = hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,nullPointer)))) # label(fact_1156_typeof__NullPointer) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1205 (all Hb (hBOOL(preallocated(Hb)) -> hAPP_val_option_ty(typeof_h(Hb),addr(addr_of_sys_xcpt(outOfMemory))) = hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,outOfMemory)))) # label(fact_1157_typeof__OutOfMemory) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1206 (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_1158_sys__xcpts__cases) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1207 (all Pa all C all Hb (hBOOL(preallocated(Hb)) -> (hBOOL(member_list_char(C,sys_xcpts)) -> ((all Fs_1 (hAPP_n546249108on_val(Hb,addr_of_sys_xcpt(C)) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_1)) -> hBOOL(hAPP_list_char_bool(hAPP_f388705405r_bool(Pa,Hb),C)))) -> hBOOL(hAPP_list_char_bool(hAPP_f388705405r_bool(Pa,Hb),C)))))) # label(fact_1159_preallocatedE) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1208 (all C all Hb (hBOOL(preallocated(Hb)) -> (hBOOL(member_list_char(C,sys_xcpts)) -> (exists Fs_1 hAPP_n546249108on_val(Hb,addr_of_sys_xcpt(C)) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_1)))))) # label(fact_1160_preallocatedD) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1209 (all Hb (hBOOL(preallocated(Hb)) <-> (all X_1 (hBOOL(member_list_char(X_1,sys_xcpts)) -> (exists Fs_1 hAPP_n546249108on_val(Hb,addr_of_sys_xcpt(X_1)) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,X_1),Fs_1))))))) # label(fact_1161_preallocated__def) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1210 (all C all Lb all Pa all Hb (new_Addr(Hb) = 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,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(outOfMemory))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),red(Pa))))) # label(fact_1162_red__reds_ORedNewFail) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1211 (all Hb all Ea all Pa all C (hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),C)) -> hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,new_list_char(C)),hAPP_list_char_ty(class,C))))) # label(fact_1163_WTrtNew) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1212 (all Pa all Hb all Ea all C all Ta (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,new_list_char(C)),Ta)) -> -(Ta = hAPP_list_char_ty(class,C) -> -hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),C))))) # label(fact_1164_WTrt__elim__cases_I10_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1213 (all Hb all A (new_Addr(Hb) = hAPP_nat_option_nat(some_nat,A) -> hAPP_n546249108on_val(Hb,A) = none_P179726773on_val)) # label(fact_1165_new__Addr__SomeD) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1214 (all Lb all H_b all Pa all C all FDTs all Hb all A (new_Addr(Hb) = hAPP_nat_option_nat(some_nat,A) -> (hBOOL(fields1147507508t_char(Pa,C,FDTs)) -> (H_b = fun_up2041264236on_val(Hb,A,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,Hb),Lb)),hAPP_v834067052t_char(val_list_char,addr(A))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),Lb))))))) # label(fact_1166_New) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1215 (all Lb all H_b all Pa all C all FDTs all Hb all A (new_Addr(Hb) = hAPP_nat_option_nat(some_nat,A) -> (hBOOL(fields1147507508t_char(Pa,C,FDTs)) -> (H_b = fun_up2041264236on_val(Hb,A,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,Hb),Lb)),hAPP_v834067052t_char(val_list_char,addr(A))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),Lb))))))) # label(fact_1167_redp__redsp_ORedNew) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1216 (all Hb all Ea all Pa all C (hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),C)) -> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,new_list_char(C)),hAPP_list_char_ty(class,C))))) # label(fact_1168_WTrt_H__WTrts_H_Ointros_I1_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1217 (all Lb all H_b all Pa all C all FDTs all Hb all A (new_Addr(Hb) = hAPP_nat_option_nat(some_nat,A) -> (hBOOL(fields1147507508t_char(Pa,C,FDTs)) -> (H_b = fun_up2041264236on_val(Hb,A,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,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),Lb))),red(Pa))))))) # label(fact_1169_red__reds_ORedNew) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1218 (all Pa all C all Lb all Hb (new_Addr(Hb) = none_nat -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,new_list_char(C),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(outOfMemory))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))))) # label(fact_1170_NewFail) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1219 (all Pa all C all Lb all Hb (new_Addr(Hb) = none_nat -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,new_list_char(C),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(outOfMemory))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))))) # label(fact_1171_redp__redsp_ORedNewFail) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1220 (all Jmdcl all C all Da all Fds all Mths all Pa (hBOOL(wf_pro755087577t_char(wf_J_mdecl,Pa)) -> (hBOOL(member1467889965t_char(hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,C),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Da),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Fds),Mths))),set_Pr1494163115t_char(Pa))) -> (hBOOL(member1601084734t_char(Jmdcl,set_Pr2033386304t_char(Mths))) -> hBOOL(hAPP_P1384137393r_bool(hAPP_l2054741776r_bool(hAPP_l2138409430r_bool(wf_J_mdecl,Pa),C),Jmdcl)))))) # label(fact_1172_wf__J__prog__wf__J__mdecl) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1221 (all Eb all Hb all Lb all E_b all H_b all L_b 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,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))),red(Pa))) -> hBOOL(ord_le2092826700r_bool(fv(E_b),fv(Eb)))))) # label(fact_1173_Red__fv) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1222 (all Eb fv(throw_list_char(Eb)) = fv(Eb)) # label(fact_1174_fv__fvs_Osimps_I14_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1223 (all Eb all Fa all Da fv(fAcc_list_char(Eb,Fa,Da)) = fv(Eb)) # label(fact_1175_fv__fvs_Osimps_I7_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1224 (all C all Eb fv(cast_list_char(C,Eb)) = fv(Eb)) # label(fact_1176_fv__fvs_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1225 (all V all Pa all Eb all Hb all Lb all E_b all H_b all L_b (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))) -> (-hBOOL(member_list_char(V,fv(Eb))) -> hAPP_l207779698on_val(L_b,V) = hAPP_l207779698on_val(Lb,V)))) # label(fact_1177_eval__notfree__unchanged) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1226 (all W all Eb all Hb all Lb all E_b all H_b all L_b all Pa (hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))) -> (hBOOL(ord_le2092826700r_bool(fv(Eb),W)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),restri761823004ar_val(Lb,W))),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),restri761823004ar_val(L_b,W)))))))) # label(fact_1178_eval__restrict__lcl) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1227 (all Ef all H_3 all L_3 all L_2_1 all M all Ts all Ta all Pns all Body all Da all C all Fs all Esa all Vs_1 all H_2 all L_2 all Eb all S_0 all A all S_1 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,Eb),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A))),S_1)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vs_1)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),L_2))),transi374442731on_val(reds(Pa)))) -> (hAPP_n546249108on_val(H_2,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs)) -> (hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Ts,Ta,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Pns),Body)),Da)) -> (size_size_list_val(Vs_1) = 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))),Pns,Vs_1) -> (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(Eb,M,Esa)),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_1179_CallRedsFinal) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1228 (all E_b all H_3 all L_3 all L_2_1 all M all Ts all Ta all Pns all Body all Da all C all Fs all Ps all Vs_1 all H_2 all L_2 all Pa all Eb all S_0 all A all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,addr(A))),S_1)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Ps,S_1),hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vs_1)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),L_2))) -> (hAPP_n546249108on_val(H_2,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs)) -> (hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Ts,Ta,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Pns),Body)),Da)) -> (size_size_list_val(Vs_1) = 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))),Pns,Vs_1) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Body,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),L_2_1)),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_3),L_3))) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,call_list_char(Eb,M,Ps),S_0),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_3),L_2))))))))))) # label(fact_1180_Call) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1229 (all Vs_1 all Pa all M all Ts all Ta all Pns all Body all Da all S all A all C all Fs (hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs)) -> (hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Ts,Ta,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Pns),Body)),Da)) -> (size_size_list_val(Vs_1) = size_s2113983095t_char(Pns) -> (size_size_list_ty(Ts) = 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)),M,hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vs_1))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,cons_list_char(this,Pns)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,cons_ty(hAPP_list_char_ty(class,Da),Ts)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,cons_val(addr(A),Vs_1)),Body))))),S)),red(Pa)))))))) # label(fact_1181_red__reds_ORedCall) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1230 (all Vs_1 all Pa all M all Ts all Ta all Pns all Body all Da all S all A all C all Fs (hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs)) -> (hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Ts,Ta,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Pns),Body)),Da)) -> (size_size_list_val(Vs_1) = size_s2113983095t_char(Pns) -> (size_size_list_ty(Ts) = size_s2113983095t_char(Pns) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(hAPP_v834067052t_char(val_list_char,addr(A)),M,hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vs_1)),S),blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,cons_list_char(this,Pns)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,cons_ty(hAPP_list_char_ty(class,Da),Ts)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,cons_val(addr(A),Vs_1)),Body))))),S))))))) # label(fact_1182_redp__redsp_ORedCall) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1231 (all Pa all Hb all Ea all Esa all Ts (hBOOL(wTrts_1(Pa,Hb,Ea,Esa,Ts)) -> size_s1143674878t_char(Esa) = size_size_list_ty(Ts))) # label(fact_1183_WTrts__same__length) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1232 (all Hb all Lb all Pa all Eb all Vs_1 all Vs all Ts (size_s2113983095t_char(Vs) = size_size_list_ty(Ts) -> (size_size_list_val(Vs_1) = size_size_list_ty(Ts) -> (hBOOL(final_list_char(Eb)) -> 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,Vs),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ts),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Vs_1),Eb))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),transi2024712006on_val(red(Pa)))))))) # label(fact_1184_blocksFinal) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1233 (all Pa all Eb all Hb all Lb all E_b all H_b all L_b all Vs_1 all Ps all Ts (size_s2113983095t_char(Ps) = size_size_list_ty(Ts) -> (size_s2113983095t_char(Ps) = size_size_list_val(Vs_1) -> (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,Ts),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Vs_1),Eb)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))) -> (exists L_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),map_up1085636310ar_val(Lb,Ps,Vs_1))),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_1)))))))) # label(fact_1185_blocksEval) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1234 (all Pa all Hb all Ea all Eb all Ta all Vs_1 all Vs all Ts (size_s2113983095t_char(Vs) = size_size_list_ty(Ts) -> (size_size_list_val(Vs_1) = size_size_list_ty(Ts) -> (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Vs),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ts),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Vs_1),Eb))))),Ta)) <-> hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,map_up891053837har_ty(Ea,Vs,Ts),Eb),Ta)) & (exists Ts_2 (hAPP_l2006940821ion_ty(map_val_option_ty(typeof_h(Hb)),Vs_1) = hAPP_l1487035934ion_ty(map_ty_option_ty(some_ty),Ts_2) & hBOOL(list_all2_ty_ty(widen_2090681816t_char(Pa),Ts_2,Ts)))))))) # label(fact_1186_wt__blocks) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1235 (all Esa all Ts_1 all M all Ts all Ta all Pns all Body all Da all Pa all Hb all Ea all Eb all C (hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),hAPP_list_char_ty(class,C))) -> (hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Ts,Ta,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Pns),Body)),Da)) -> (hBOOL(wTrts_1(Pa,Hb,Ea,Esa,Ts_1)) -> (hBOOL(list_all2_ty_ty(widen_2090681816t_char(Pa),Ts_1,Ts)) -> hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,call_list_char(Eb,M,Esa)),Ta))))))) # label(fact_1187_WTrtCall) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1236 (all Esa all Ts_1 all M all Ts all Ta all Pns all Body all Da all Pa all Hb all Ea all Eb all C (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,Eb),hAPP_list_char_ty(class,C))) -> (hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Ts,Ta,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Pns),Body)),Da)) -> (hBOOL(wTrts(Pa,Hb,Ea,Esa,Ts_1)) -> (hBOOL(list_all2_ty_ty(widen_2090681816t_char(Pa),Ts_1,Ts)) -> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,call_list_char(Eb,M,Esa)),Ta))))))) # label(fact_1188_WTrt_H__WTrts_H_Ointros_I12_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1237 (all Pa all Hb all Ea all Esa all Ts (hBOOL(wTrts(Pa,Hb,Ea,Esa,Ts)) <-> hBOOL(wTrts_1(Pa,Hb,Ea,Esa,Ts)))) # label(fact_1189_wts_H__iff__wts) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1238 (all Pa all Hb all Ea all Esa all Ts (hBOOL(wTrts(Pa,Hb,Ea,Esa,Ts)) -> hBOOL(wTrts_1(Pa,Hb,Ea,Esa,Ts)))) # label(fact_1190_wts_H__wts) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1239 (all Pa all Hb all Ea all Esa all Ts (hBOOL(wTrts_1(Pa,Hb,Ea,Esa,Ts)) -> hBOOL(wTrts(Pa,Hb,Ea,Esa,Ts)))) # label(fact_1191_wts__wts_H) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1240 (all M all Ta all Esa all Ts all Pa all Hb all Ea all Eb (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,Eb),nt)) -> (hBOOL(wTrts(Pa,Hb,Ea,Esa,Ts)) -> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,call_list_char(Eb,M,Esa)),Ta))))) # label(fact_1192_WTrt_H__WTrts_H_Ointros_I13_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1241 (all Esa all Ts all Pa all Hb all Ea all Eb all Ta (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,Eb),Ta)) -> (hBOOL(wTrts(Pa,Hb,Ea,Esa,Ts)) -> hBOOL(wTrts(Pa,Hb,Ea,cons_exp_list_char(Eb,Esa),cons_ty(Ta,Ts)))))) # label(fact_1193_WTrt_H__WTrts_H_Ointros_I15_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1242 (all L all Eb all Hb all Lb all E_b all H_b all L_b all Pa all Vs_1 all Vs all Ts (size_s2113983095t_char(Vs) = size_size_list_ty(Ts) -> (size_size_list_val(Vs_1) = size_size_list_ty(Ts) -> (hBOOL(distinct_list_char(Vs)) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),map_up1085636310ar_val(Lb,Vs,Vs_1)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))),transi2024712006on_val(red(Pa)))) -> (hBOOL(final_list_char(E_b)) -> (L = overri2012515291on_val(L_b,Lb,set_list_char(Vs)) -> 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,Vs),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ts),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Vs_1),Eb))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L))),transi2024712006on_val(red(Pa))))))))))) # label(fact_1194_blocksRedsFinal) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1243 (all Eb all Hb all Lb all E_b all H_b all L_b all Pa all Vs_1 all Vs all Ts (size_s2113983095t_char(Vs) = size_size_list_ty(Ts) -> (size_size_list_val(Vs_1) = size_size_list_ty(Ts) -> (hBOOL(distinct_list_char(Vs)) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),map_up1085636310ar_val(Lb,Vs,Vs_1)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))),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,Vs),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ts),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Vs_1),Eb))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Vs),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ts),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,hAPP_l1892737211st_val(map_list_char_val(comp_o1129292306t_char(the_val,L_b)),Vs)),E_b))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),overri2012515291on_val(L_b,Lb,set_list_char(Vs))))),transi2024712006on_val(red(Pa))))))))) # label(fact_1195_blocksReds) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1244 (all Obj obj_ty(Obj) = hAPP_list_char_ty(class,hAPP_P1789965269t_char(produc1230355531on_val,Obj))) # label(fact_1197_obj__ty__def) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1245 (all C all Hb (hBOOL(preallocated(Hb)) -> (hBOOL(member_list_char(C,sys_xcpts)) -> hAPP_P1789965269t_char(produc1230355531on_val,hAPP_o1977518472on_val(the_Pr431167171on_val,hAPP_n546249108on_val(Hb,addr_of_sys_xcpt(C)))) = C))) # label(fact_1198_cname__of__xcp) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1246 (all P (is_bool(P) -> P = fTrue | P = fFalse)) # label(help_fTrue_1_1_T) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1247 (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].
% 2.40/2.62 1248 (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].
% 2.40/2.62 1249 (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].
% 2.40/2.62 1250 (all P (is_bool(P) -> P = fTrue | P = fFalse)) # label(help_fFalse_1_1_T) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1251 (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].
% 2.40/2.62 1252 (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].
% 2.40/2.62 1253 (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].
% 2.40/2.62 1254 (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].
% 2.40/2.62 1255 (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].
% 2.40/2.62 1256 (all P all Q all R hAPP_ty_bool(hAPP_f457123984y_bool(hAPP_f1391360361y_bool(cOMBB_1881684336ool_ty,P),Q),R) = hAPP_P1070896250l_bool(P,hAPP_t97533526ar_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1257 (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].
% 2.40/2.62 1258 (all P all Q all R hAPP_f1033709212l_bool(hAPP_f1935223905l_bool(hAPP_f1589017327l_bool(cOMBB_558176806on_val,P),Q),R) = hAPP_P929938951l_bool(P,hAPP_f1181212006al_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_000tc__HOL_) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1259 (all P all Q all R hAPP_f1033709212l_bool(hAPP_f1189972950l_bool(hAPP_f86617653l_bool(cOMBB_165135181on_val,P),Q),R) = hAPP_P748443392y_bool(P,hAPP_f1746527929har_ty(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Type) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1260 (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].
% 2.40/2.62 1261 (all P all Q all R hAPP_f1033709212l_bool(hAPP_f2061154754l_bool(hAPP_f1777594159l_bool(cOMBB_448128005on_val,P),Q),R) = hAPP_P943837928l_bool(P,hAPP_f384373191al_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Value__Oval_Mtc_) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1262 (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].
% 2.40/2.62 1263 (all P all Q all R hAPP_f1033709212l_bool(hAPP_f1326058377l_bool(hAPP_f1804599279l_bool(cOMBB_678146046on_val,P),Q),R) = hAPP_P449474095r_bool(P,hAPP_f338074126t_char(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1264 (all P all Q all R hAPP_f1033709212l_bool(hAPP_f1468279871l_bool(hAPP_f737797743l_bool(cOMBB_1733006024on_val,P),Q),R) = hAPP_P2118621157r_bool(P,hAPP_f1555843780t_char(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Expr__) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1265 (all P all Q all R hAPP_f1033709212l_bool(hAPP_f1787894864l_bool(hAPP_f975490601l_bool(cOMBB_844549459on_val,P),Q),R) = hAPP_P1070896250l_bool(P,hAPP_f901144627ar_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_018) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1266 (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].
% 2.40/2.62 1267 (all P all Q all R hAPP_f1033709212l_bool(hAPP_f1390791157l_bool(hAPP_f99607667l_bool(cOMBB_1334418926on_val,P),Q),R) = hAPP_P2014166431r_bool(P,hAPP_f1953285592t_char(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1268 (all P all Q all R hAPP_t97533526ar_val(hAPP_f500340936ar_val(hAPP_f1675912277ar_val(cOMBB_351318850val_ty,P),Q),R) = hAPP_P532450504ar_val(P,hAPP_t931865635har_ty(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1269 (all P all Q all R hAPP_t97533526ar_val(hAPP_f151191262ar_val(hAPP_f1061710805ar_val(cOMBB_239784108val_ty,P),Q),R) = hAPP_P841862366ar_val(P,hAPP_t708040077har_ty(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_019) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1270 (all P all Q all R hAPP_t931865635har_ty(hAPP_f1734435490har_ty(hAPP_f393578581har_ty(cOMBB_1320677736_ty_ty,P),Q),R) = hAPP_P1409535266har_ty(P,hAPP_t97533526ar_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_020) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1271 (all P all Q all R hAPP_f1033709212l_bool(hAPP_f1645102644l_bool(hAPP_f962366127l_bool(cOMBB_95569939on_val,P),Q),R) = hAPP_P1907982426r_bool(P,hAPP_f1911830329t_char(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1272 (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].
% 2.40/2.62 1273 (all P all Q all R hAPP_P1845004857y_bool(hAPP_f1796274104y_bool(hAPP_f1589954605y_bool(cOMBB_1380239526t_char,P),Q),R) = hAPP_f457123984y_bool(P,hAPP_P221287148ar_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__Type__Oty_Mtc__prod_Itc__prod_Itc__List__Ol) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1274 (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].
% 2.40/2.62 1275 (all P all Q all R hAPP_f1033709212l_bool(hAPP_f1937467848l_bool(hAPP_f2020099865l_bool(cOMBB_1543649755on_val,P),Q),R) = hAPP_P1235399154l_bool(P,hAPP_f2106552235on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1276 (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].
% 2.40/2.62 1277 (all P all Q all R hAPP_l1836284219ar_val(hAPP_f1286352408ar_val(hAPP_f922986761ar_val(cOMBB_491542469t_char,P),Q),R) = hAPP_f151191262ar_val(P,hAPP_l826728946har_ty(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__Type__Oty_Mtc__prod_Itc__prod_Itc__List__Ol_021) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1278 (all P all Q all R hAPP_f1033709212l_bool(hAPP_f1212990632l_bool(hAPP_f764883801l_bool(cOMBB_1837440507on_val,P),Q),R) = hAPP_P92196306r_bool(P,hAPP_f848628235t_char(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String___022) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1279 (all P all Q all R hAPP_f652398900ion_ty(hAPP_f2110071953ion_ty(hAPP_f69964139ion_ty(cOMBB_2041093409on_val,P),Q),R) = hAPP_P1228500987ion_ty(P,hAPP_f900686428on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun__023) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1280 (all P all Q all R hAPP_P221287148ar_val(hAPP_f1582750480ar_val(hAPP_f1761801623ar_val(cOMBB_510504510t_char,P),Q),R) = hAPP_f500340936ar_val(P,hAPP_P901867449har_ty(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__Type__Oty_Mtc__prod_Itc__List__Olist_Itc__S) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1281 (all P all Q all R hAPP_P221287148ar_val(hAPP_f2096521338ar_val(hAPP_f1210767211ar_val(cOMBB_1905001812t_char,P),Q),R) = hAPP_f151191262ar_val(P,hAPP_P827589667har_ty(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__Type__Oty_Mtc__prod_Itc__prod_Itc__List__Ol_024) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1282 (all P all Q all R hAPP_P901867449har_ty(hAPP_f1820012432har_ty(hAPP_f1720458941har_ty(cOMBB_424865560t_char,P),Q),R) = hAPP_f1734435490har_ty(P,hAPP_P221287148ar_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__Type__Oty_Mtc__prod_Itc__prod_Itc__List__Ol_025) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1283 (all P all Q all R hAPP_P929938951l_bool(hAPP_f497008323l_bool(hAPP_f1936466825l_bool(cOMBB_840638159al_val,P),Q),R) = hAPP_P159683425l_bool(P,hAPP_P147338735on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1284 (all P all Q all R hAPP_e544220455r_bool(hAPP_f716957699r_bool(hAPP_f106757449r_bool(cOMBB_1539035119t_char,P),Q),R) = hAPP_P159683425l_bool(P,hAPP_e1410803407on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It_026) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1285 (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].
% 2.40/2.62 1286 (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].
% 2.40/2.62 1287 (all P all Q all R hAPP_f1033709212l_bool(hAPP_f1008932791l_bool(hAPP_f2057883639l_bool(cOMBB_1750801836on_val,P),Q),R) = hAPP_P159683425l_bool(P,hAPP_f1727192346on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It_027) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1288 (all P all Q all R hAPP_P2118621157r_bool(hAPP_f1915623807r_bool(hAPP_f1346522053r_bool(cOMBB_1115744685t_char,P),Q),R) = hAPP_P159683425l_bool(P,hAPP_P214139537on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It_028) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1289 (all P all Q all R hAPP_f1033709212l_bool(hAPP_f1474698986l_bool(hAPP_f1809473245l_bool(cOMBB_1452070457on_val,P),Q),R) = hAPP_P828904212r_bool(P,hAPP_f268764237t_char(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1290 (all P all Q all R hAPP_f1175813647l_bool(hAPP_f555424277l_bool(hAPP_f1734879897l_bool(cOMBB_1522540928on_val,P),Q),R) = hAPP_f1074020887l_bool(P,hAPP_f1175813647l_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].
% 2.40/2.62 1291 (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].
% 2.40/2.62 1292 (all P all Q all R hAPP_b97269396l_bool(hAPP_f1150574413l_bool(hAPP_f295212021l_bool(cOMBB_1150072860ol_bop,P),Q),R) = hAPP_f497008323l_bool(P,hAPP_b420404024on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_Mt) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1293 (all P all Q all R hAPP_f1175813647l_bool(hAPP_f1153851723l_bool(hAPP_f151189509l_bool(cOMBB_223841226on_val,P),Q),R) = hAPP_f1935223905l_bool(P,hAPP_f1695781849al_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_029) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1294 (all P all Q all R hAPP_P1907982426r_bool(hAPP_f1957179113r_bool(hAPP_f1096084527r_bool(cOMBB_1980206754t_char,P),Q),R) = hAPP_P159683425l_bool(P,hAPP_P216502748on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It_030) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1295 (all P all Q all R hAPP_f1033709212l_bool(hAPP_f318082871l_bool(hAPP_f1233687287l_bool(cOMBB_171276332on_val,P),Q),R) = hAPP_P1708370145l_bool(P,hAPP_f1926378906on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__O) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1296 (all P all Q all R hAPP_f1033709212l_bool(hAPP_f679593521l_bool(hAPP_f2114578667l_bool(cOMBB_914590898on_val,P),Q),R) = hAPP_P659547099r_bool(P,hAPP_f596349460t_char(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_031) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1297 (all P all Q all R hAPP_f1175813647l_bool(hAPP_f1617838686l_bool(hAPP_f1740025881l_bool(cOMBB_1511810527on_val,P),Q),R) = hAPP_f1189972950l_bool(P,hAPP_f993605148har_ty(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_032) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1298 (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].
% 2.40/2.62 1299 (all P all Q all R hAPP_l1062423959r_bool(hAPP_f1339377933r_bool(hAPP_f1165187701r_bool(cOMBB_1124198201st_val,P),Q),R) = hAPP_f716957699r_bool(P,hAPP_l1870161525on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Oc) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1300 (all P all Q all R hAPP_f1175813647l_bool(hAPP_f828778154l_bool(hAPP_f1572306499l_bool(cOMBB_1210977579on_val,P),Q),R) = hAPP_f2061154754l_bool(P,hAPP_f1779904442al_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_033) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1301 (all P all Q all R hAPP_f1033709212l_bool(hAPP_f502623122l_bool(hAPP_f1000925999l_bool(cOMBB_1466435125on_val,P),Q),R) = hAPP_P71593144l_bool(P,hAPP_f637291415on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Oli) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1302 (all P all Q all R hAPP_f1175813647l_bool(hAPP_f1996106275l_bool(hAPP_f1550515381l_bool(cOMBB_2040779506on_val,P),Q),R) = hAPP_f1326058377l_bool(P,hAPP_f1628326017t_char(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_034) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1303 (all P all Q all R hAPP_f1175813647l_bool(hAPP_f1576637933l_bool(hAPP_f154583625l_bool(cOMBB_335252392on_val,P),Q),R) = hAPP_f1468279871l_bool(P,hAPP_f1297079863t_char(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_035) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1304 (all P all Q all R hAPP_l2000496933ion_ty(hAPP_f802560783ion_ty(hAPP_f7643013ion_ty(cOMBB_864319000t_char,P),Q),R) = hAPP_f2110071953ion_ty(P,hAPP_l1786340417on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__prod_Itc__List__Olist_Itc__String_) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1305 (all P all Q all R hAPP_f1033709212l_bool(hAPP_f802970616l_bool(hAPP_f1566130425l_bool(cOMBB_247395499on_val,P),Q),R) = hAPP_P1680401186r_bool(P,hAPP_f1032572507t_char(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_036) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1306 (all P all Q all R hAPP_f1175813647l_bool(hAPP_f1812276580l_bool(hAPP_f1292837529l_bool(cOMBB_238112345on_val,P),Q),R) = hAPP_f1787894864l_bool(P,hAPP_f1925626518ar_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_037) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1307 (all P all Q all R hAPP_f1175813647l_bool(hAPP_f1351102847l_bool(hAPP_f1342439769l_bool(cOMBB_225914878on_val,P),Q),R) = hAPP_f1390791157l_bool(P,hAPP_f1445211579t_char(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_038) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1308 (all P all Q all R hAPP_f1175813647l_bool(hAPP_f1121261496l_bool(hAPP_f1331093087l_bool(cOMBB_1472123293on_val,P),Q),R) = hAPP_f1645102644l_bool(P,hAPP_f157410348t_char(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_039) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1309 (all P all Q all R hAPP_l1987619678r_bool(hAPP_f1944156365r_bool(hAPP_f918235057r_bool(cOMBB_1843549548ist_ty,P),Q),R) = hAPP_f1915623807r_bool(P,hAPP_l1004879342on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mt) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1310 (all P all Q all R hAPP_f1175813647l_bool(hAPP_f1145600492l_bool(hAPP_f630712985l_bool(cOMBB_1962662865on_val,P),Q),R) = hAPP_f1937467848l_bool(P,hAPP_f1614126606on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_040) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1311 (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_041) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1312 (all P all Q all R hAPP_f1175813647l_bool(hAPP_f1089411340l_bool(hAPP_f2012169497l_bool(cOMBB_1443356337on_val,P),Q),R) = hAPP_f1212990632l_bool(P,hAPP_f78832750t_char(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_042) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1313 (all P all Q all R hAPP_P159683425l_bool(hAPP_f1301559543l_bool(hAPP_f1825030711l_bool(cOMBB_877741809on_val,P),Q),R) = hAPP_P159683425l_bool(P,hAPP_P1776198677on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It_043) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1314 (all P all Q all R hAPP_l217977712r_bool(hAPP_f829041291r_bool(hAPP_f1691034591r_bool(cOMBB_889837233t_char,P),Q),R) = hAPP_f1957179113r_bool(P,hAPP_l451552092on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc_) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1315 (all P all Q all R hAPP_P1708370145l_bool(hAPP_f1712766199l_bool(hAPP_f881985847l_bool(cOMBB_1083177073on_val,P),Q),R) = hAPP_P159683425l_bool(P,hAPP_P789556885on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It_044) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1316 (all P all Q all R hAPP_P71593144l_bool(hAPP_f1540354981l_bool(hAPP_f2131288811l_bool(cOMBB_1173566976on_val,P),Q),R) = hAPP_P159683425l_bool(P,hAPP_P1892658174on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It_045) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1317 (all P all Q all R hAPP_f1175813647l_bool(hAPP_f1363667773l_bool(hAPP_f1050935001l_bool(cOMBB_1153617344on_val,P),Q),R) = hAPP_f1008932791l_bool(P,hAPP_f1849790461on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_046) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1318 (all P all Q all R hAPP_f1175813647l_bool(hAPP_f337607754l_bool(hAPP_f1546157465l_bool(cOMBB_955482355on_val,P),Q),R) = hAPP_f1474698986l_bool(P,hAPP_f371326384t_char(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_047) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1319 (all P all Q all R hAPP_f1175813647l_bool(hAPP_f850751421l_bool(hAPP_f399538905l_bool(cOMBB_1466889536on_val,P),Q),R) = hAPP_f318082871l_bool(P,hAPP_f1840640125on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_048) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1320 (all P all Q all R hAPP_f1175813647l_bool(hAPP_f1525647939l_bool(hAPP_f1338219097l_bool(cOMBB_2122619962on_val,P),Q),R) = hAPP_f679593521l_bool(P,hAPP_f1363205111t_char(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_049) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1321 (all P all Q all R hAPP_f1175813647l_bool(hAPP_f556306650l_bool(hAPP_f1538372259l_bool(cOMBB_157777659on_val,P),Q),R) = hAPP_f502623122l_bool(P,hAPP_f336970122on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_050) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1322 (all P all Q all R hAPP_f1175813647l_bool(hAPP_f1158121916l_bool(hAPP_f527861785l_bool(cOMBB_625124865on_val,P),Q),R) = hAPP_f802970616l_bool(P,hAPP_f1486366910t_char(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_051) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1323 (all P all Q all R hAPP_f1033709212l_bool(hAPP_f524589473l_bool(hAPP_f2052660463l_bool(cOMBB_1292453606on_val,P),Q),R) = hAPP_P282169671l_bool(P,hAPP_f602593190on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc_) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1324 (all P all Q all R hAPP_f1033709212l_bool(hAPP_f1546656185l_bool(hAPP_f28987375l_bool(cOMBB_132741582on_val,P),Q),R) = hAPP_P1333315679l_bool(P,hAPP_f1416324670on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc_) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1325 (all P all Q all R hAPP_e1833980889l_bool(hAPP_f653692369l_bool(hAPP_f516738477l_bool(cOMBB_819439237t_char,P),Q),R) = hAPP_f1301559543l_bool(P,hAPP_e108155315on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__O) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1326 (all P all Q all R hAPP_l146377954l_bool(hAPP_f896993613l_bool(hAPP_f219814819l_bool(cOMBB_143000234t_char,P),Q),R) = hAPP_f1301559543l_bool(P,hAPP_l1012006762on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__O_052) # label(axiom) # label(non_clause). [assumption].
% 2.40/2.62 1327 (all P all Q all R hAPP_f1175813647l_bool(hAPP_f927043595l_bool(hAPP_f1043869573l_bool(cOMBB_1259202826on_val,P),Q),R) = hAPP_f524589473l_bool(P,hAPP_f600512025on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_053) # label(axiom) # label(non_clause). [assumption].
% 6.60/6.78 1328 (all P all Q all R hAPP_f1175813647l_bool(hAPP_f1505175539l_bool(hAPP_f924423253l_bool(cOMBB_1330725154on_val,P),Q),R) = hAPP_f1546656185l_bool(P,hAPP_f865889457on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_054) # label(axiom) # label(non_clause). [assumption].
% 6.60/6.78 1329 (all P all Q all R hAPP_P1116729363l_bool(hAPP_f1241216909l_bool(hAPP_f1438732387l_bool(cOMBB_635947099on_val,P),Q),R) = hAPP_f1712766199l_bool(P,hAPP_P2083594489on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__) # label(axiom) # label(non_clause). [assumption].
% 6.60/6.78 1330 (all P all Q all R hAPP_P1183008383l_bool(hAPP_f1909521165l_bool(hAPP_f1779944471l_bool(cOMBB_607314500on_val,P),Q),R) = hAPP_f1540354981l_bool(P,hAPP_P308812685on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__) # label(axiom) # label(non_clause). [assumption].
% 6.60/6.78
% 6.60/6.78 ============================== end of process non-clausal formulas ===
% 6.60/6.78
% 6.60/6.78 ============================== PROCESS INITIAL CLAUSES ===============
% 6.60/6.78
% 6.60/6.78 ============================== PREDICATE ELIMINATION =================
% 6.60/6.78
% 6.60/6.78 ============================== end predicate elimination =============
% 6.60/6.78
% 6.60/6.78 Auto_denials: (non-Horn, no changes).
% 6.60/6.78
% 6.60/6.78 Term ordering decisions:
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hAPP_f1416324670on_val=1. hAPP_f1445211579t_char=1. hAPP_f1486366910t_char=1. hAPP_f1555843780t_char=1. hAPP_f157410348t_char=1. hAPP_f1614126606on_val=1. hAPP_f1628326017t_char=1. hAPP_f1695781849al_val=1. hAPP_f1746527929har_ty=1. hAPP_f1779904442al_val=1. hAPP_f1840640125on_val=1. hAPP_f1911830329t_char=1. hAPP_f1925626518ar_val=1. hAPP_f1926378906on_val=1. hAPP_f1953285592t_char=1. hAPP_f2106552235on_val=1. hAPP_f268764237t_char=1. hAPP_f336970122on_val=1. hAPP_f338074126t_char=1. hAPP_f371326384t_char=1. hAPP_f384373191al_val=1. hAPP_f388705405r_bool=1. hAPP_f528845893ar_val=1. hAPP_f596349460t_char=1. hAPP_f600512025on_val=1. hAPP_f602593190on_val=1. hAPP_f637291415on_val=1. hAPP_f78832750t_char=1. hAPP_f848628235t_char=1. hAPP_f865889457on_val=1. hAPP_f901144627ar_val=1. hAPP_f993605148har_ty=1. hAPP_l1004879342on_val=1. hAPP_l1012006762on_val=1. hAPP_l1836284219ar_val=1. hAPP_l1870161525on_val=1. hAPP_l1892737211st_val=1. hAPP_l451552092on_val=1. hAPP_l826728946har_ty=1. hAPP_o1977518472on_val=1. hAPP_option_val_val=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. 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. 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. 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. f406=1. f407=1. f408=1. f409=1. f410=1. f411=1. f412=1. f413=1. f666=1. f667=1. f668=1. f669=1. f670=1. f671=1. f672=1. f673=1. f674=1. f675=1. f676=1. f677=1. f678=1. f679=1. f680=1. f681=1. f682=1. f683=1. f684=1. f685=1. f686=1. f687=1. f688=1. f689=1. f690=1. f691=1. f692=1. f693=1. f694=1. f695=1. f696=1. f697=1. f698=1. f699=1. f700=1. f701=1. f702=1. f703=1. f704=1. f705=1. f706=1. f707=1. f708=1. f709=1. f710=1. f711=1. f712=1. f713=1. f714=1. f715=1. f716=1. f717=1. f718=1. f719=1. f720=1. f721=1. f722=1. f723=1. f724=1. f725=1. f726=1. f727=1. f728=1. f729=1. f730=1. f731=1. f732=1. f733=1. f734=1. f735=1. f736=1. f737=1. f741=1. f742=1. f743=1. f744=1. f745=1. f746=1. f747=1. f748=1. f749=1. f750=1. f751=1. f752=1. f753=1. f754=1. f755=1. f756=1. f757=1. f758=1. f759=1. f760=1. f761=1. f762=1. f763=1. f764=1. f765=1. f766=1. f767=1. f768=1. f769=1. f770=1. f771=1. f772=1. f773=1. f774=1. f775=1. f776=1. f777=1. f778=1. f779=1. f780=1. f781=1. f782=1. f783=1. f784=1. f785=1. f786=1. f787=1. f788=1. f789=1. f790=1. f791=1. f792=1. f793=1. f794=1. f795=1. f796=1. f797=1. f798=1. f799=1. f800=1. f801=1. f802=1. f803=1. f804=1. f805=1. f806=1. f807=1. f808=1. f809=1. f810=1. f811=1. f812=1. f813=1. f814=1. f1051=1. f1052=1. f1053=1. f1062=1. f1063=1. f1076=1. f1077=1. f1078=1. f1080=1. f1081=1. throw_list_char=1. red=1. transi2024712006on_val=1. addr=1. bool=1. transi374442731on_val=1. transi1395422419t_char=1. widen_2090681816t_char=1. addr_of_sys_xcpt=1. transi935034983cl_val=1. reds=1. binop=1. size_size_list_ty=1. transi1906258203al_val=1. typeof_h=1. map_va1934808527t_char=1. preallocated=1. final_list_char=1. size_s2113983095t_char=1. blocks=1. transi1095029602t_char=1. transi1123801095t_char=1. transi122195895t_char=1. transi1257872013t_char=1. transi1423755450al_val=1. transi1600669663ar_val=1. transi1789604888t_char=1. transi198989188t_char=1. transi2005320128t_char=1. transi208336786on_val=1. transi61620055on_val=1. transi772168185t_char=1. transi910771962on_val=1. transi921647814on_val=1. size_size_list_val=1. subcls851966956t_char=1. fv=1. new_list_char=1. lconf_496643946t_char=1. new_Addr=1. hconf_97414254t_char=1. is_cla570604648t_char=1. map_ty_option_ty=1. map_val_option_ty=1. subcls744239332t_char=1. transi1065307915t_char=1. distinct_list_char=1. finals_list_char=1. set_list_char=1. collect_ty=1. map_Pr1153581243ar_val=1. map_list_char_val=1. obj_ty=1. set_Pr1494163115t_char=1. set_Pr2033386304t_char=1. size_s1143674878t_char=1. the_Addr=1. undefined_bop=1. f1=1. f29=1. f30=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. 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. f258=1. f259=1. f260=1. f261=1. f262=1. f263=1. f264=1. f265=1. f266=1. f267=1. f268=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. f296=1. f297=1. f298=1. f299=1. f300=1. f301=1. f302=1. f303=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. 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. 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. f551=1. f552=1. f553=1. f554=1. f555=1. f556=1. f557=1. f558=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. f575=1. f576=1. f577=1. f578=1. f579=1. f580=1. f581=1. f582=1. f583=1. f584=1. f585=1. f586=1. f587=1. f588=1. f589=1. f590=1. f591=1. f592=1. f593=1. f594=1. f595=1. f596=1. f597=1. f598=1. f599=1. f600=1. f601=1. f602=1. f603=1. f604=1. f605=1. f606=1. f607=1. f608=1. f609=1. f610=1. f611=1. f612=1. f613=1. f614=1. f615=1. f616=1. f617=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. f647=1. f648=1. f649=1. f650=1. f651=1. f652=1. f653=1. f654=1. f655=1. f656=1. f657=1. f658=1. f659=1. f660=1. f661=1. f662=1. f663=1. f664=1. f665=1. f1055=1. f1057=1. f1064=1. f1082=1. eval=1. binOp_list_char=1. redp=1. cond_list_char=1. block_list_char=1. fun_up1149430426on_val=1. fAcc_list_char=1. call_list_char=1. evals=1. fun_up2041264236on_val=1. fun_up424764369ion_ty=1. redsp=1. list_all2_ty_ty=1. map_up1085636310ar_val=1. fields1147507508t_char=1. fun_up204312361on_val=1. map_up891053837har_ty=1. overri2012515291on_val=1. option1388193227on_val=1. f815=1. f816=1. f817=1. f818=1. f819=1. f820=1. f991=1. f992=1. f993=1. f994=1. f995=1. f996=1. f997=1. f998=1. f1079=1. wTrt=1. wTrt_1=1. fAss_list_char=1. tryCatch_list_char=1. has_fi1183600461t_char=1. f999=1. f1000=1. f1001=1. f1002=1. f1003=1. f1004=1. f1005=1. f1006=1. f1007=1. f1008=1. f1009=1. f1010=1. f1011=1. f1012=1. f1013=1. f1014=1. wTrts_1=1. wTrts=1. ty_case_bool=1. f821=1. f822=1. f823=1. f824=1. f825=1. f826=1. f827=1. f828=1. f829=1. f830=1. f831=1. f832=1. f833=1. f834=1. f835=1. f836=1. f837=1. f838=1. f839=1. f840=1. f841=1. f842=1. f843=1. f844=1. f845=1. f846=1. f847=1. f848=1. f849=1. f850=1. f851=1. f852=1. f853=1. f854=1. f1015=1. f1032=1. f1033=1. f1050=1. f1054=1. f1065=1. f1066=1. f1067=1. f1073=1. f1074=1. method1809630380t_char=1. f738=1. f855=1. f856=1. f857=1. f858=1. f859=1. f860=1. f861=1. f862=1. f863=1. f864=1. f865=1. f866=1. f867=1. f868=1. f869=1. f870=1. f871=1. f872=1. f873=1. f874=1. f875=1. f876=1. f877=1. f878=1. f879=1. f880=1. f881=1. f882=1. f883=1. f884=1. f885=1. f886=1. f887=1. f888=1. f889=1. f890=1. f891=1. f892=1. f893=1. f894=1. f895=1. f896=1. f897=1. f898=1. f899=1. f900=1. f901=1. f902=1. f903=1. f904=1. f905=1. f906=1. f907=1. f908=1. f909=1. f910=1. f911=1. f912=1. f913=1. f914=1. f915=1. f916=1. f917=1. f918=1. f919=1. f920=1. f921=1. f922=1. f923=1. f924=1. f925=1. f926=1. f927=1. f928=1. f929=1. f930=1. f931=1. f932=1. f933=1. f934=1. f935=1. f936=1. f937=1. f938=1. f939=1. f940=1. f941=1. f942=1. f943=1. f944=1. f945=1. f946=1. f947=1. f948=1. f949=1. f950=1. f951=1. f952=1. f953=1. f954=1. f955=1. f956=1. f957=1. f958=1. f959=1. f960=1. f961=1. f962=1. f963=1. f964=1. f965=1. f966=1. f967=1. f968=1. f969=1. f970=1. f971=1. f972=1. f973=1. f974=1. f975=1. f976=1. f977=1. f978=1. f979=1. f980=1. f981=1. f982=1. f983=1. f984=1. f985=1. f986=1. f987=1. f988=1. f989=1. f990=1. f1016=1. f1017=1. f1018=1. f1019=1. f1020=1. f1021=1. f1022=1. f1023=1. f1024=1. f1025=1. f1026=1. f1027=1. f1028=1. f1036=1. f1037=1. f1038=1. f1039=1. f1040=1. f1041=1. f1075=1. f739=1. f740=1. f1029=1. f1030=1. f1031=1. f1034=1. f1035=1. f1042=1. f1043=1. f1044=1. f1045=1. f1046=1. f1047=1. f1048=1. f1049=1. f1058=1. f1059=1. f1060=1. f1061=1. f1068=1. f1056=1. f1069=1. f1070=1. f1071=1. f1072=1. f1084=1. f1083=1.
% 22.43/22.62
% 22.43/22.62 ============================== end of process initial clauses ========
% 22.43/22.62
% 22.43/22.62 ============================== CLAUSES FOR SEARCH ====================
% 22.43/22.62
% 22.43/22.62 ============================== end of clauses for search =============
% 22.43/22.62
% 22.43/22.62 ============================== SEARCH ================================
% 22.43/22.62
% 22.43/22.62 % Starting search at 4.56 seconds.
% 22.43/22.62
% 22.43/22.62 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 30 (0.00 of 11.73 sec).
% 22.43/22.62
% 22.43/22.62 ============================== STATISTICS ============================
% 22.43/22.62
% 22.43/22.62 Given=1417. Generated=40208. Kept=7920. proofs=0.
% 22.43/22.62 Usable=1412. Sos=5061. Demods=484. Limbo=1291, Disabled=2317. Hints=0.
% 22.43/22.62 Kept_by_rule=0, Deleted_by_rule=0.
% 22.43/22.62 Forward_subsumed=32288. Back_subsumed=102.
% 22.43/22.62 Sos_limit_deleted=0. Sos_displaced=0. Sos_removed=0.
% 22.43/22.62 New_demodulators=491 (0 lex), Back_demodulated=53. Back_unit_deleted=0.
% 22.43/22.62 Demod_attempts=633296. Demod_rewrites=30428.
% 22.43/22.62 Res_instance_prunes=0. Para_instance_prunes=0. Basic_paramod_prunes=0.
% 22.43/22.62 Nonunit_fsub_feature_tests=98636. Nonunit_bsub_feature_tests=4673.
% 22.43/22.62 Megabytes=419.43.
% 22.43/22.62 User_CPU=20.29, System_CPU=0.15, Wall_clock=20.
% 22.43/22.62
% 22.43/22.62 Megs malloced by palloc(): 400.
% 22.43/22.62 type (bytes each) gets frees in use bytes
% 22.43/22.62 chunk ( 104) 63477 63477 0 0.0 K
% 22.43/22.62 string_buf ( 8) 53700 53700 0 0.0 K
% 22.43/22.62 token ( 20) 149306 149306 0 0.0 K
% 22.43/22.62 pterm ( 16) 85622 85622 0 0.0 K
% 22.43/22.62 hashtab ( 8) 1330 1330 0 0.0 K
% 22.43/22.62 hashnode ( 8) 4911 4911 0 0.0 K
% 22.43/22.62 term ( 20) 2223023 1983100 239923 4686.0 K
% 22.43/22.62 term arg arrays: 1301.0 K
% 22.43/22.62 attribute ( 12) 12304 350 11954 140.1 K
% 22.43/22.62 ilist ( 8) 377436512 377398303 38209 298.5 K
% 22.43/22.62 plist ( 8) 68144 33121 35023 273.6 K
% 22.43/22.62 i2list ( 12) 505522 505522 0 0.0 K
% 22.43/22.62 just ( 12) 78446 65433 13013 152.5 K
% 22.43/22.62 parajust ( 16) 2309 648 1661 26.0 K
% 22.43/22.62 instancejust ( 8) 0 0 0 0.0 K
% 22.43/22.62 ivyjust ( 24) 0 0 0 0.0 K
% 22.43/22.62 formula ( 28) 60038 37616 22422 613.1 K
% 22.43/22.62 formula arg arrays: 77.2 K
% 22.43/22.62 topform ( 52) 43700 32288 11412 579.5 K
% 22.43/22.62 clist_pos ( 20) 20934 10369 10565 206.3 K
% 22.43/22.62 clist ( 16) 8 1 7 0.1 K
% 22.43/22.62 context ( 808) 370840 370839 1 0.8 K
% 22.43/22.62 trail ( 12) 530418 530418 0 0.0 K
% 22.43/22.62 ac_match_pos (70044) 0 0 0 0.0 K
% 22.43/22.62 ac_match_free_vars_pos (20020)
% 22.43/22.62 0 0 0 0.0 K
% 22.43/22.62 btm_state ( 60) 0 0 0 0.0 K
% 22.43/22.62 btu_state ( 60) 0 0 0 0.0 K
% 22.43/22.62 ac_position (285432) 0 0 0 0.0 K
% 22.43/22.62 fpa_trie ( 20) 262255 788 261467 5106.8 K
% 22.43/22.62 fpa_state ( 28) 32548 32548 0 0.0 K
% 22.43/22.62 fpa_index ( 12) 10 0 10 0.1 K
% 22.43/22.62 fpa_chunk ( 20) 160912 36372 124540 2432.4 K
% 22.43/22.62 fpa_list ( 16) 90138 0 90138 1408.4 K
% 22.43/22.62 fpa_list chunks: 2854.0 K
% 22.43/22.62 discrim ( 12) 12074 229 11845 138.8 K
% 22.43/22.62 discrim_pos ( 16) 30574 30574 0 0.0 K
% 22.43/22.62 flat2 ( 32) 910249 910249 0 0.0 K
% 22.43/22.62 flat ( 48) 0 0 0 0.0 K
% 22.43/22.62 flatterm ( 32) 1052339 1052339 0 0.0 K
% 22.43/22.62 mindex ( 28) 13 0 13 0.4 K
% 22.43/22.62 mindex_pos ( 56) 272592 272592 0 0.0 K
% 22.43/22.62 lindex ( 12) 5 0 5 0.1 K
% 22.43/22.62 clash ( 40) 0 0 0 0.0 K
% 22.43/22.62 di_tree ( 12) 33965401 793164 33172237 388737.2 K
% 22.43/22.62 avl_node ( 20) 11087 1663 9424 184.1 K
% 22.43/22.62
% 22.43/22.62 Memory report, 20 @ 20 = 400 megs (400.00 megs used).
% 22.43/22.62 List 1, length 4, 0.0 K
% 22.43/22.62 List 4, length 7, 0.1 K
% 22.43/22.62 List 5, length 5, 0.1 K
% 22.43/22.62 List 6, length 4, 0.1 K
% 22.43/22.62 List 7, length 10, 0.3 K
% 22.43/22.62 List 8, length 34, 1.1 K
% 22.43/22.62 List 12, length 7, 0.3 K
% 22.43/22.62 List 14, length 2, 0.1 K
% 22.43/22.62 List 16, length 41, 2.6 K
% 22.43/22.62 List 24, length 2, 0.2 K
% 22.43/22.62 List 26, length 233, 23.7 K
% 22.43/22.62 List 36, length 2, 0.3 K
% 22.43/22.62 List 202, length 3, 2.4 K
% 22.43/22.62
% 22.43/22.62 ============================== SELECTOR REPORT =======================
% 22.43/22.62 Sos_deleted=0, Sos_displaced=0, Sos_size=5061
% 22.43/22.62 SELECTOR PART PRIORITY ORDER SIZE SELECTED
% 22.43/22.62 I 2147483647 high age 698 1417
% 22.43/22.62 H 1 high weight 0 0
% 22.43/22.62 A 1 low age 4363 0
% 22.43/22.62 F 4 low weight 0 0
% 22.43/22.62 T 4 low weight 4363 0
% 22.43/22.62 ============================== end of selector report ================
% 22.43/22.62
% 22.43/22.62 ============================== end of statistics =====================
% 22.43/22.63
% 22.43/22.63 Exiting with failure.
% 22.43/22.63
% 22.43/22.63 Process 26155 exit (max_megs) Sun Jun 5 17:45:46 2022
% 22.43/22.63 Prover9 interrupted
%------------------------------------------------------------------------------