TSTP Solution File: SWW475+3 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWW475+3 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n019.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 01:17:12 EDT 2022
% Result : Unknown 160.10s 160.31s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW475+3 : TPTP v8.1.0. Released v5.3.0.
% 0.11/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 5 04:06:10 EDT 2022
% 0.12/0.34 % CPUTime :
% 2.22/2.44 ============================== Prover9 ===============================
% 2.22/2.44 Prover9 (32) version 2009-11A, November 2009.
% 2.22/2.44 Process 9702 was started by sandbox on n019.cluster.edu,
% 2.22/2.44 Sun Jun 5 04:06:12 2022
% 2.22/2.44 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_9548_n019.cluster.edu".
% 2.22/2.44 ============================== end of head ===========================
% 2.22/2.44
% 2.22/2.44 ============================== INPUT =================================
% 2.22/2.44
% 2.22/2.44 % Reading from file /tmp/Prover9_9548_n019.cluster.edu
% 2.22/2.44
% 2.22/2.44 set(prolog_style_variables).
% 2.22/2.44 set(auto2).
% 2.22/2.44 % set(auto2) -> set(auto).
% 2.22/2.44 % set(auto) -> set(auto_inference).
% 2.22/2.44 % set(auto) -> set(auto_setup).
% 2.22/2.44 % set(auto_setup) -> set(predicate_elim).
% 2.22/2.44 % set(auto_setup) -> assign(eq_defs, unfold).
% 2.22/2.44 % set(auto) -> set(auto_limits).
% 2.22/2.44 % set(auto_limits) -> assign(max_weight, "100.000").
% 2.22/2.44 % set(auto_limits) -> assign(sos_limit, 20000).
% 2.22/2.44 % set(auto) -> set(auto_denials).
% 2.22/2.44 % set(auto) -> set(auto_process).
% 2.22/2.44 % set(auto2) -> assign(new_constants, 1).
% 2.22/2.44 % set(auto2) -> assign(fold_denial_max, 3).
% 2.22/2.44 % set(auto2) -> assign(max_weight, "200.000").
% 2.22/2.44 % set(auto2) -> assign(max_hours, 1).
% 2.22/2.44 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 2.22/2.44 % set(auto2) -> assign(max_seconds, 0).
% 2.22/2.44 % set(auto2) -> assign(max_minutes, 5).
% 2.22/2.44 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 2.22/2.44 % set(auto2) -> set(sort_initial_sos).
% 2.22/2.44 % set(auto2) -> assign(sos_limit, -1).
% 2.22/2.44 % set(auto2) -> assign(lrs_ticks, 3000).
% 2.22/2.44 % set(auto2) -> assign(max_megs, 400).
% 2.22/2.44 % set(auto2) -> assign(stats, some).
% 2.22/2.44 % set(auto2) -> clear(echo_input).
% 2.22/2.44 % set(auto2) -> set(quiet).
% 2.22/2.44 % set(auto2) -> clear(print_initial_clauses).
% 2.22/2.44 % set(auto2) -> clear(print_given).
% 2.22/2.44 assign(lrs_ticks,-1).
% 2.22/2.44 assign(sos_limit,10000).
% 2.22/2.44 assign(order,kbo).
% 2.22/2.44 set(lex_order_vars).
% 2.22/2.44 clear(print_given).
% 2.22/2.44
% 2.22/2.44 % formulas(sos). % not echoed (1300 formulas)
% 2.22/2.44
% 2.22/2.44 ============================== end of input ==========================
% 2.22/2.44
% 2.22/2.44 % From the command line: assign(max_seconds, 300).
% 2.22/2.44
% 2.22/2.44 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 2.22/2.44
% 2.22/2.44 % Formulas that are not ordinary clauses:
% 2.22/2.44 1 (all B_1_1 is_bool(final_list_char(B_1_1))) # label(gsy_c_BigStep_Ofinal_000tc__List__Olist_Itc__String__Ochar_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 2 (all B_1_1 is_bool(finals_list_char(B_1_1))) # label(gsy_c_BigStep_Ofinals_000tc__List__Olist_Itc__String__Ochar_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 3 (all B_1_1 all B_2_1 is_bool(hconf_97414254t_char(B_1_1,B_2_1))) # label(gsy_c_Conform_Ohconf_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__) # label(hypothesis) # label(non_clause). [assumption].
% 2.22/2.44 4 (all B_1_1 is_bool(preallocated(B_1_1))) # label(gsy_c_Exceptions_Opreallocated) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 5 (all B_1_1 is_bool(distinct_list_char(B_1_1))) # label(gsy_c_List_Odistinct_000tc__List__Olist_Itc__String__Ochar_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 6 (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].
% 2.22/2.44 7 (all B_1_1 all B_2_1 is_bool(hext(B_1_1,B_2_1))) # label(gsy_c_Objects_Ohext) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 8 (all B_1_1 all B_2_1 is_bool(ord_le2092826700r_bool(B_1_1,B_2_1))) # label(gsy_c_Orderings_Oord__class_Oless__eq_000tc__fun_Itc__List__Olist_Itc__String__O) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 9 (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_Progress_OWTrts_H) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 10 (all B_1_1 all B_2_1 is_bool(assigned(B_1_1,B_2_1))) # label(gsy_c_SmallStep_Oassigned) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 11 (all B_1_1 all B_2_1 all B_3_1 is_bool(fields1147507508t_char(B_1_1,B_2_1,B_3_1))) # label(gsy_c_TypeRel_OFields_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String_) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 12 (all B_1_1 all B_2_1 is_bool(wf_pro755087577t_char(B_1_1,B_2_1))) # label(gsy_c_WellForm_Owf__prog_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__Stri) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 13 (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_WellTypeRT_OWTrts) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 14 (all B_1_1 all B_2_1 is_bool(hAPP_e544220455r_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J_000tc__HOL_) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 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].
% 2.22/2.44 16 (all B_1_1 all B_2_1 is_bool(hAPP_nat_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__Nat__Onat_000tc__HOL__Obool) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 17 (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].
% 2.22/2.44 18 (all B_1_1 all B_2_1 is_bool(hAPP_val_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__Value__Oval_000tc__HOL__Obool) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 19 (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) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 20 (all B_1_1 all B_2_1 is_bool(hAPP_f1715346603l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List_) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 21 (all B_1_1 all B_2_1 is_bool(hAPP_P943837928l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Value__Oval_Mtc__Value__Ov) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 22 (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].
% 2.22/2.44 23 (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].
% 2.22/2.44 24 (all B_1_1 all B_2_1 is_bool(hAPP_P2014166431r_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__Ochar_J_J_) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 25 (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__001) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 26 (all B_1_1 all B_2_1 is_bool(hAPP_P449474095r_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List__Olist_It) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 27 (all B_1_1 all B_2_1 is_bool(hAPP_P748443392y_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Type__Oty_J_00) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 28 (all B_1_1 all B_2_1 is_bool(hAPP_P1235399154l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_Itc__prod_) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 29 (all B_1_1 all B_2_1 is_bool(hAPP_P831231943y_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_Itc__List) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 30 (all B_1_1 all B_2_1 is_bool(hAPP_P1907982426r_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc__List__Ol) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 31 (all B_1_1 all B_2_1 is_bool(hAPP_P2118621157r_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Expr__Oexp_Itc__) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 32 (all B_1_1 all B_2_1 is_bool(hAPP_P929938951l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_000tc__HOL__Obool) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 33 (all B_1_1 all B_2_1 is_bool(hAPP_P159683425l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_It) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 34 (all B_1_1 all B_2_1 is_bool(hAPP_P738987199l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Value__Oval_Mtc_) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 35 (all B_1_1 all B_2_1 is_bool(hAPP_P282169671l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__O) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 36 (all B_1_1 all B_2_1 is_bool(hAPP_P1333315679l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Oli) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 37 (all B_1_1 all B_2_1 is_bool(hAPP_P1002912327r_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 38 (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___002) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 39 (all B_1_1 all B_2_1 is_bool(hAPP_P27757617y_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 40 (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_003) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 41 (all B_1_1 all B_2_1 is_bool(hAPP_P124632071l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 42 (all B_1_1 all B_2_1 is_bool(hAPP_P1240100515r_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 43 (all B_1_1 all B_2_1 is_bool(hAPP_P1183499705r_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Expr__) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 44 (all B_1_1 all B_2_1 is_bool(hAPP_P2123002749l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_Mtc__prod_I) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 45 (all B_1_1 all B_2_1 is_bool(hAPP_P1221872711l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 46 (all B_1_1 all B_2_1 is_bool(hAPP_P378063101l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc_) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 47 (all B_1_1 all B_2_1 is_bool(hAPP_P2028072621l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc_) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 48 (all B_1_1 all B_2_1 is_bool(member_list_char(B_1_1,B_2_1))) # label(gsy_c_member_000tc__List__Olist_Itc__String__Ochar_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 49 (all B_1_1 all B_2_1 is_bool(member_nat(B_1_1,B_2_1))) # label(gsy_c_member_000tc__Nat__Onat) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 50 (all B_1_1 all B_2_1 is_bool(member1251428284t_char(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List__Olist_) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 51 (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].
% 2.22/2.44 52 (all B_1_1 all B_2_1 is_bool(member649088532al_val(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__Value__Oval_Mtc__Value__Oval_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 53 (all B_1_1 all B_2_1 is_bool(member1732271180al_val(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Value__Oval_Mt) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 54 (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(hypothesis) # label(non_clause). [assumption].
% 2.22/2.44 55 (all B_1_1 all B_2_1 is_bool(member875476972on_val(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__O) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 56 (all B_1_1 all B_2_1 is_bool(member1999287380t_char(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 57 (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_004) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 58 (all B_1_1 all B_2_1 is_bool(member1783291580har_ty(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Li) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 59 (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_005) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 60 (all B_1_1 all B_2_1 is_bool(member119266708har_ty(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Ty) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 61 (all B_1_1 all B_2_1 is_bool(member1322055188on_val(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fu) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 62 (all B_1_1 all B_2_1 is_bool(member1664419796har_ty(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].
% 2.22/2.44 63 (all B_1_1 all B_2_1 is_bool(member125098544t_char(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_I) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 64 (all B_1_1 all B_2_1 is_bool(member1161907014t_char(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Expr) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 65 (all B_1_1 all B_2_1 is_bool(member837208074al_val(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_Mtc__prod) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 66 (all B_1_1 all B_2_1 is_bool(member563141460on_val(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 67 (all B_1_1 all B_2_1 is_bool(member23198458al_val(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Valu) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 68 (all B_1_1 all B_2_1 is_bool(member808015754on_val(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_It) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 69 (all B_1_1 all B_2_1 is_bool(member88670778on_val(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_It) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 70 (all B_1_1 all B_2_1 is_bool(member902595210t_char(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__List__Olist_I) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 71 (all B_1_1 all B_2_1 is_bool(member1934728458t_char(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__List__Olist_I_006) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 72 (all B_1_1 all B_2_1 is_bool(member1986596692har_ty(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 73 (all B_1_1 all B_2_1 is_bool(member1689070870t_char(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_007) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 74 (all B_1_1 all B_2_1 is_bool(member1114719754on_val(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_008) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 75 (all B_1_1 all B_2_1 is_bool(member371591362t_char(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_M) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 76 (all B_1_1 all B_2_1 is_bool(member1105423342t_char(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Value__Oval_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 77 (all B_1_1 all B_2_1 is_bool(member384848502al_val(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__Value__Oval_Mtc__Value__Oval_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 78 (all B_1_1 all B_2_1 is_bool(member2032527242on_val(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 79 (all B_1_1 all B_2_1 is_bool(member712690550on_val(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 80 (all B_1_1 all B_2_1 is_bool(member1837727190on_val(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Exp) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 81 (all X_2 all Pa ((all A_1 all B_1 all C_3 all D_1 all E_4 hBOOL(hAPP_P2028072621l_bool(Pa,produc1951691075on_val(A_1,produc1611380469on_val(B_1,produc379668296on_val(C_3,produc899768717on_val(D_1,E_4))))))) -> hBOOL(hAPP_P2028072621l_bool(Pa,X_2)))) # label(fact_0_prod__induct5) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 82 (all X_2 all Pa ((all A_1 all B_1 all C_3 all D_1 all E_4 hBOOL(hAPP_P378063101l_bool(Pa,produc1564932627on_val(A_1,produc1441475159on_val(B_1,produc1259058957on_val(C_3,produc899768717on_val(D_1,E_4))))))) -> hBOOL(hAPP_P378063101l_bool(Pa,X_2)))) # label(fact_1_prod__induct5) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 83 (all X_2 all Pa ((all A_1 all B_1 all C_3 all D_1 all E_4 hBOOL(hAPP_P824029447r_bool(Pa,produc24551831t_char(A_1,produc921874948t_char(B_1,produc1909267824t_char(C_3,produc1916172923t_char(D_1,E_4))))))) -> hBOOL(hAPP_P824029447r_bool(Pa,X_2)))) # label(fact_2_prod__induct5) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 84 (all Y_1 -(all A_1 all B_1 all C_3 all D_1 all E_4 Y_1 != produc1951691075on_val(A_1,produc1611380469on_val(B_1,produc379668296on_val(C_3,produc899768717on_val(D_1,E_4)))))) # label(fact_3_prod__cases5) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 85 (all Y_1 -(all A_1 all B_1 all C_3 all D_1 all E_4 Y_1 != produc1564932627on_val(A_1,produc1441475159on_val(B_1,produc1259058957on_val(C_3,produc899768717on_val(D_1,E_4)))))) # label(fact_4_prod__cases5) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 86 (all Y_6 -(all A_1 all B_1 all C_3 all D_1 all E_4 Y_6 != produc24551831t_char(A_1,produc921874948t_char(B_1,produc1909267824t_char(C_3,produc1916172923t_char(D_1,E_4)))))) # label(fact_5_prod__cases5) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 87 (all X_2 all Pa ((all A_1 all B_1 all C_3 all D_1 hBOOL(hAPP_P282169671l_bool(Pa,produc1441475159on_val(A_1,produc1259058957on_val(B_1,produc899768717on_val(C_3,D_1)))))) -> hBOOL(hAPP_P282169671l_bool(Pa,X_2)))) # label(fact_6_prod__induct4) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 88 (all X_2 all Pa ((all A_1 all B_1 all C_3 all D_1 hBOOL(hAPP_P1333315679l_bool(Pa,produc1611380469on_val(A_1,produc379668296on_val(B_1,produc899768717on_val(C_3,D_1)))))) -> hBOOL(hAPP_P1333315679l_bool(Pa,X_2)))) # label(fact_7_prod__induct4) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 89 (all X_2 all Pa ((all A_1 all B_1 all C_3 all D_1 hBOOL(hAPP_P92196306r_bool(Pa,produc921874948t_char(A_1,produc1909267824t_char(B_1,produc1916172923t_char(C_3,D_1)))))) -> hBOOL(hAPP_P92196306r_bool(Pa,X_2)))) # label(fact_8_prod__induct4) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 90 (all X_2 all Pa ((all A_1 all B_1 all C_3 all D_1 hBOOL(hAPP_P378063101l_bool(Pa,produc1564932627on_val(A_1,produc1441475159on_val(B_1,produc1259058957on_val(C_3,D_1)))))) -> hBOOL(hAPP_P378063101l_bool(Pa,X_2)))) # label(fact_9_prod__induct4) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 91 (all X_2 all Pa ((all A_1 all B_1 all C_3 all D_1 hBOOL(hAPP_P2028072621l_bool(Pa,produc1951691075on_val(A_1,produc1611380469on_val(B_1,produc379668296on_val(C_3,D_1)))))) -> hBOOL(hAPP_P2028072621l_bool(Pa,X_2)))) # label(fact_10_prod__induct4) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 92 (all X_2 all Pa ((all A_1 all B_1 all C_3 all D_1 hBOOL(hAPP_P824029447r_bool(Pa,produc24551831t_char(A_1,produc921874948t_char(B_1,produc1909267824t_char(C_3,D_1)))))) -> hBOOL(hAPP_P824029447r_bool(Pa,X_2)))) # label(fact_11_prod__induct4) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 93 (all X_2 all Pa ((all A_1 all B_1 all C_3 all D_1 hBOOL(hAPP_P1240100515r_bool(Pa,produc57279289t_char(A_1,produc1909267824t_char(B_1,produc1916172923t_char(C_3,D_1)))))) -> hBOOL(hAPP_P1240100515r_bool(Pa,X_2)))) # label(fact_12_prod__induct4) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 94 (all X_2 all Pa ((all A_1 all B_1 all C_3 all D_1 (is_bop(B_1) -> hBOOL(hAPP_P738987199l_bool(Pa,produc1924279125al_val(A_1,produc621191550al_val(B_1,product_Pair_val_val(C_3,D_1))))))) -> hBOOL(hAPP_P738987199l_bool(Pa,X_2)))) # label(fact_13_prod__induct4) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 95 (all Y_1 -(all A_1 all B_1 all C_3 all D_1 Y_1 != produc1441475159on_val(A_1,produc1259058957on_val(B_1,produc899768717on_val(C_3,D_1))))) # label(fact_14_prod__cases4) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 96 (all Y_1 -(all A_1 all B_1 all C_3 all D_1 Y_1 != produc1611380469on_val(A_1,produc379668296on_val(B_1,produc899768717on_val(C_3,D_1))))) # label(fact_15_prod__cases4) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 97 (all Y_5 -(all A_1 all B_1 all C_3 all D_1 Y_5 != produc921874948t_char(A_1,produc1909267824t_char(B_1,produc1916172923t_char(C_3,D_1))))) # label(fact_16_prod__cases4) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 98 (all Y_1 -(all A_1 all B_1 all C_3 all D_1 Y_1 != produc1564932627on_val(A_1,produc1441475159on_val(B_1,produc1259058957on_val(C_3,D_1))))) # label(fact_17_prod__cases4) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 99 (all Y_1 -(all A_1 all B_1 all C_3 all D_1 Y_1 != produc1951691075on_val(A_1,produc1611380469on_val(B_1,produc379668296on_val(C_3,D_1))))) # label(fact_18_prod__cases4) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 100 (all Y_5 -(all A_1 all B_1 all C_3 all D_1 Y_5 != produc24551831t_char(A_1,produc921874948t_char(B_1,produc1909267824t_char(C_3,D_1))))) # label(fact_19_prod__cases4) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 101 (all Y_5 -(all A_1 all B_1 all C_3 all D_1 Y_5 != produc57279289t_char(A_1,produc1909267824t_char(B_1,produc1916172923t_char(C_3,D_1))))) # label(fact_20_prod__cases4) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 102 (all Y_5 -(all A_1 all B_1 all C_3 all D_1 (is_bop(B_1) -> Y_5 != produc1924279125al_val(A_1,produc621191550al_val(B_1,product_Pair_val_val(C_3,D_1)))))) # label(fact_21_prod__cases4) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.44 103 (all Ea all Ha all La all E_a all H_a all L_a all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,produc899768717on_val(Ha,La)),produc1259058957on_val(E_a,produc899768717on_val(H_a,L_a))),red(Pa))) -> hBOOL(hext(Ha,H_a)))) # label(fact_22_red__hext__incr) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 104 (all X_2 all Pa ((all A_1 all B_1 all C_3 hBOOL(hAPP_P831231943y_bool(Pa,produc1002914035har_ty(A_1,produc251930284har_ty(B_1,C_3))))) -> hBOOL(hAPP_P831231943y_bool(Pa,X_2)))) # label(fact_23_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 105 (all X_2 all Pa ((all A_1 all B_1 all C_3 hBOOL(hAPP_P282169671l_bool(Pa,produc1441475159on_val(A_1,produc1259058957on_val(B_1,C_3))))) -> hBOOL(hAPP_P282169671l_bool(Pa,X_2)))) # label(fact_24_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 106 (all X_2 all Pa ((all A_1 all B_1 all C_3 hBOOL(hAPP_P1708370145l_bool(Pa,produc1259058957on_val(A_1,produc899768717on_val(B_1,C_3))))) -> hBOOL(hAPP_P1708370145l_bool(Pa,X_2)))) # label(fact_25_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 107 (all X_2 all Pa ((all A_1 all B_1 all C_3 hBOOL(hAPP_P1333315679l_bool(Pa,produc1611380469on_val(A_1,produc379668296on_val(B_1,C_3))))) -> hBOOL(hAPP_P1333315679l_bool(Pa,X_2)))) # label(fact_26_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 108 (all X_2 all Pa ((all A_1 all B_1 all C_3 hBOOL(hAPP_P71593144l_bool(Pa,produc379668296on_val(A_1,produc899768717on_val(B_1,C_3))))) -> hBOOL(hAPP_P71593144l_bool(Pa,X_2)))) # label(fact_27_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 109 (all X_2 all Pa ((all A_1 all B_1 all C_3 hBOOL(hAPP_P92196306r_bool(Pa,produc921874948t_char(A_1,produc1909267824t_char(B_1,C_3))))) -> hBOOL(hAPP_P92196306r_bool(Pa,X_2)))) # label(fact_28_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 110 (all X_2 all Pa ((all A_1 all B_1 all C_3 hBOOL(hAPP_P1907982426r_bool(Pa,produc1909267824t_char(A_1,produc1916172923t_char(B_1,C_3))))) -> hBOOL(hAPP_P1907982426r_bool(Pa,X_2)))) # label(fact_29_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 111 (all X_2 all Pa ((all A_1 all B_1 all C_3 (is_bop(A_1) -> hBOOL(hAPP_P943837928l_bool(Pa,produc621191550al_val(A_1,product_Pair_val_val(B_1,C_3)))))) -> hBOOL(hAPP_P943837928l_bool(Pa,X_2)))) # label(fact_30_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 112 (all X_2 all Pa ((all A_1 all B_1 all C_3 hBOOL(hAPP_P378063101l_bool(Pa,produc1564932627on_val(A_1,produc1441475159on_val(B_1,C_3))))) -> hBOOL(hAPP_P378063101l_bool(Pa,X_2)))) # label(fact_31_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 113 (all X_2 all Pa ((all A_1 all B_1 all C_3 hBOOL(hAPP_P1221872711l_bool(Pa,produc870913623on_val(A_1,produc899768717on_val(B_1,C_3))))) -> hBOOL(hAPP_P1221872711l_bool(Pa,X_2)))) # label(fact_32_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 114 (all X_2 all Pa ((all A_1 all B_1 all C_3 hBOOL(hAPP_P2028072621l_bool(Pa,produc1951691075on_val(A_1,produc1611380469on_val(B_1,C_3))))) -> hBOOL(hAPP_P2028072621l_bool(Pa,X_2)))) # label(fact_33_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 115 (all X_2 all Pa ((all A_1 all B_1 all C_3 hBOOL(hAPP_P824029447r_bool(Pa,produc24551831t_char(A_1,produc921874948t_char(B_1,C_3))))) -> hBOOL(hAPP_P824029447r_bool(Pa,X_2)))) # label(fact_34_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 116 (all X_2 all Pa ((all A_1 all B_1 all C_3 hBOOL(hAPP_P1240100515r_bool(Pa,produc57279289t_char(A_1,produc1909267824t_char(B_1,C_3))))) -> hBOOL(hAPP_P1240100515r_bool(Pa,X_2)))) # label(fact_35_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 117 (all X_2 all Pa ((all A_1 all B_1 all C_3 hBOOL(hAPP_P1183499705r_bool(Pa,produc1299387215t_char(A_1,produc1916172923t_char(B_1,C_3))))) -> hBOOL(hAPP_P1183499705r_bool(Pa,X_2)))) # label(fact_36_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 118 (all X_2 all Pa ((all A_1 all B_1 all C_3 (is_bop(B_1) -> hBOOL(hAPP_P738987199l_bool(Pa,produc1924279125al_val(A_1,produc621191550al_val(B_1,C_3)))))) -> hBOOL(hAPP_P738987199l_bool(Pa,X_2)))) # label(fact_37_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 119 (all X_2 all Pa ((all A_1 all B_1 all C_3 hBOOL(hAPP_P2123002749l_bool(Pa,produc1244920211al_val(A_1,product_Pair_val_val(B_1,C_3))))) -> hBOOL(hAPP_P2123002749l_bool(Pa,X_2)))) # label(fact_38_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 120 (all X_2 all Pa ((all A_1 all B_1 all C_3 hBOOL(hAPP_P124632071l_bool(Pa,produc499151895on_val(A_1,produc823076510on_val(B_1,C_3))))) -> hBOOL(hAPP_P124632071l_bool(Pa,X_2)))) # label(fact_39_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 121 (all X_2 all Pa ((all A_1 all B_1 all C_3 hBOOL(hAPP_P2010574925r_bool(Pa,produc2080520419t_char(A_1,produc5062597t_char(B_1,C_3))))) -> hBOOL(hAPP_P2010574925r_bool(Pa,X_2)))) # label(fact_40_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 122 (all X_2 all Pa ((all A_1 all B_1 all C_3 hBOOL(hAPP_P1002912327r_bool(Pa,produc1897818327t_char(A_1,produc1147572817t_char(B_1,C_3))))) -> hBOOL(hAPP_P1002912327r_bool(Pa,X_2)))) # label(fact_41_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 123 (all Y_4 -(all A_1 all B_1 all C_3 Y_4 != produc1002914035har_ty(A_1,produc251930284har_ty(B_1,C_3)))) # label(fact_42_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 124 (all Y_1 -(all A_1 all B_1 all C_3 Y_1 != produc1441475159on_val(A_1,produc1259058957on_val(B_1,C_3)))) # label(fact_43_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 125 (all Y_1 -(all A_1 all B_1 all C_3 Y_1 != produc1259058957on_val(A_1,produc899768717on_val(B_1,C_3)))) # label(fact_44_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 126 (all Y_1 -(all A_1 all B_1 all C_3 Y_1 != produc1611380469on_val(A_1,produc379668296on_val(B_1,C_3)))) # label(fact_45_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 127 (all Y_1 -(all A_1 all B_1 all C_3 Y_1 != produc379668296on_val(A_1,produc899768717on_val(B_1,C_3)))) # label(fact_46_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 128 (all Y_4 -(all A_1 all B_1 all C_3 Y_4 != produc921874948t_char(A_1,produc1909267824t_char(B_1,C_3)))) # label(fact_47_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 129 (all Y_4 -(all A_1 all B_1 all C_3 Y_4 != produc1909267824t_char(A_1,produc1916172923t_char(B_1,C_3)))) # label(fact_48_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 130 (all Y_4 -(all A_1 all B_1 all C_3 (is_bop(A_1) -> Y_4 != produc621191550al_val(A_1,product_Pair_val_val(B_1,C_3))))) # label(fact_49_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 131 (all Y_1 -(all A_1 all B_1 all C_3 Y_1 != produc1564932627on_val(A_1,produc1441475159on_val(B_1,C_3)))) # label(fact_50_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 132 (all Y_1 -(all A_1 all B_1 all C_3 Y_1 != produc870913623on_val(A_1,produc899768717on_val(B_1,C_3)))) # label(fact_51_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 133 (all Y_1 -(all A_1 all B_1 all C_3 Y_1 != produc1951691075on_val(A_1,produc1611380469on_val(B_1,C_3)))) # label(fact_52_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 134 (all Y_4 -(all A_1 all B_1 all C_3 Y_4 != produc24551831t_char(A_1,produc921874948t_char(B_1,C_3)))) # label(fact_53_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 135 (all Y_4 -(all A_1 all B_1 all C_3 Y_4 != produc57279289t_char(A_1,produc1909267824t_char(B_1,C_3)))) # label(fact_54_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 136 (all Y_4 -(all A_1 all B_1 all C_3 Y_4 != produc1299387215t_char(A_1,produc1916172923t_char(B_1,C_3)))) # label(fact_55_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 137 (all Y_4 -(all A_1 all B_1 all C_3 (is_bop(B_1) -> Y_4 != produc1924279125al_val(A_1,produc621191550al_val(B_1,C_3))))) # label(fact_56_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 138 (all Y_4 -(all A_1 all B_1 all C_3 Y_4 != produc1244920211al_val(A_1,product_Pair_val_val(B_1,C_3)))) # label(fact_57_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 139 (all Y_1 -(all A_1 all B_1 all C_3 Y_1 != produc499151895on_val(A_1,produc823076510on_val(B_1,C_3)))) # label(fact_58_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 140 (all Y_4 -(all A_1 all B_1 all C_3 Y_4 != produc2080520419t_char(A_1,produc5062597t_char(B_1,C_3)))) # label(fact_59_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 141 (all Y_4 -(all A_1 all B_1 all C_3 Y_4 != produc1897818327t_char(A_1,produc1147572817t_char(B_1,C_3)))) # label(fact_60_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 142 (all Pa ((all X1 hBOOL(hAPP_P831231943y_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P831231943y_bool(Pa,produc1002914035har_ty(A_1,B_1)))))) # label(fact_61_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 143 (all Pa ((all X1 hBOOL(hAPP_P27757617y_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P27757617y_bool(Pa,produc1265154397har_ty(A_1,B_1)))))) # label(fact_62_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 144 (all Pa ((all X1 hBOOL(hAPP_P748443392y_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P748443392y_bool(Pa,produc251930284har_ty(A_1,B_1)))))) # label(fact_63_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 145 (all Pa ((all X1 hBOOL(hAPP_P1002912327r_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P1002912327r_bool(Pa,produc1897818327t_char(A_1,B_1)))))) # label(fact_64_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 146 (all Pa ((all X1 hBOOL(hAPP_P2010574925r_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P2010574925r_bool(Pa,produc2080520419t_char(A_1,B_1)))))) # label(fact_65_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 147 (all Pa ((all X1 hBOOL(hAPP_P124632071l_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P124632071l_bool(Pa,produc499151895on_val(A_1,B_1)))))) # label(fact_66_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 148 (all Pa ((all X1 hBOOL(hAPP_P2123002749l_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P2123002749l_bool(Pa,produc1244920211al_val(A_1,B_1)))))) # label(fact_67_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 149 (all Pa ((all X1 hBOOL(hAPP_P738987199l_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P738987199l_bool(Pa,produc1924279125al_val(A_1,B_1)))))) # label(fact_68_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 150 (all Pa ((all X1 hBOOL(hAPP_P1183499705r_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P1183499705r_bool(Pa,produc1299387215t_char(A_1,B_1)))))) # label(fact_69_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 151 (all Pa ((all X1 hBOOL(hAPP_P1240100515r_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P1240100515r_bool(Pa,produc57279289t_char(A_1,B_1)))))) # label(fact_70_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 152 (all Pa ((all X1 hBOOL(hAPP_P824029447r_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P824029447r_bool(Pa,produc24551831t_char(A_1,B_1)))))) # label(fact_71_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 153 (all Pa ((all X1 hBOOL(hAPP_P2028072621l_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P2028072621l_bool(Pa,produc1951691075on_val(A_1,B_1)))))) # label(fact_72_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 154 (all Pa ((all X1 hBOOL(hAPP_P1221872711l_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P1221872711l_bool(Pa,produc870913623on_val(A_1,B_1)))))) # label(fact_73_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 155 (all Pa ((all X1 hBOOL(hAPP_P378063101l_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P378063101l_bool(Pa,produc1564932627on_val(A_1,B_1)))))) # label(fact_74_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 156 (all Pa ((all X1 hBOOL(hAPP_P282169671l_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P282169671l_bool(Pa,produc1441475159on_val(A_1,B_1)))))) # label(fact_75_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 157 (all Pa ((all X1 hBOOL(hAPP_P1708370145l_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P1708370145l_bool(Pa,produc1259058957on_val(A_1,B_1)))))) # label(fact_76_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 158 (all Pa ((all X1 hBOOL(hAPP_P159683425l_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P159683425l_bool(Pa,produc899768717on_val(A_1,B_1)))))) # label(fact_77_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 159 (all Pa ((all X1 hBOOL(hAPP_P1333315679l_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P1333315679l_bool(Pa,produc1611380469on_val(A_1,B_1)))))) # label(fact_78_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 160 (all Pa ((all X1 hBOOL(hAPP_P71593144l_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P71593144l_bool(Pa,produc379668296on_val(A_1,B_1)))))) # label(fact_79_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 161 (all Pa ((all X1 hBOOL(hAPP_P92196306r_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P92196306r_bool(Pa,produc921874948t_char(A_1,B_1)))))) # label(fact_80_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 162 (all Pa ((all X1 hBOOL(hAPP_P1907982426r_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P1907982426r_bool(Pa,produc1909267824t_char(A_1,B_1)))))) # label(fact_81_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 163 (all Pa ((all X1 hBOOL(hAPP_P2118621157r_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P2118621157r_bool(Pa,produc1916172923t_char(A_1,B_1)))))) # label(fact_82_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 164 (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,produc621191550al_val(A_1,B_1))))))) # label(fact_83_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 165 (all Pa ((all X1 hBOOL(hAPP_P929938951l_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P929938951l_bool(Pa,product_Pair_val_val(A_1,B_1)))))) # label(fact_84_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 166 (all Pa ((all X1 hBOOL(hAPP_P1235399154l_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P1235399154l_bool(Pa,produc823076510on_val(A_1,B_1)))))) # label(fact_85_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 167 (all Pa ((all X1 hBOOL(hAPP_P449474095r_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P449474095r_bool(Pa,produc5062597t_char(A_1,B_1)))))) # label(fact_86_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 168 (all Pa ((all X1 hBOOL(hAPP_P2014166431r_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P2014166431r_bool(Pa,produc1147572817t_char(A_1,B_1)))))) # label(fact_87_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 169 (all A all B all A_3 all B_4 (produc1002914035har_ty(A,B) = produc1002914035har_ty(A_3,B_4) <-> A = A_3 & B = B_4)) # label(fact_88_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 170 (all A all B all A_3 all B_4 (produc1265154397har_ty(A,B) = produc1265154397har_ty(A_3,B_4) <-> A = A_3 & B = B_4)) # label(fact_89_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 171 (all A all B all A_3 all B_4 (produc251930284har_ty(A,B) = produc251930284har_ty(A_3,B_4) <-> A = A_3 & B = B_4)) # label(fact_90_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 172 (all A all B all A_3 all B_4 (produc1897818327t_char(A,B) = produc1897818327t_char(A_3,B_4) <-> A = A_3 & B = B_4)) # label(fact_91_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 173 (all A all B all A_3 all B_4 (produc2080520419t_char(A,B) = produc2080520419t_char(A_3,B_4) <-> A = A_3 & B = B_4)) # label(fact_92_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 174 (all A all B all A_3 all B_4 (produc499151895on_val(A,B) = produc499151895on_val(A_3,B_4) <-> A = A_3 & B = B_4)) # label(fact_93_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 175 (all A all B all A_3 all B_4 (produc1244920211al_val(A,B) = produc1244920211al_val(A_3,B_4) <-> A = A_3 & B = B_4)) # label(fact_94_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 176 (all A all B all A_3 all B_4 (produc1924279125al_val(A,B) = produc1924279125al_val(A_3,B_4) <-> A = A_3 & B = B_4)) # label(fact_95_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 177 (all A all B all A_3 all B_4 (produc1299387215t_char(A,B) = produc1299387215t_char(A_3,B_4) <-> A = A_3 & B = B_4)) # label(fact_96_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 178 (all A all B all A_3 all B_4 (produc57279289t_char(A,B) = produc57279289t_char(A_3,B_4) <-> A = A_3 & B = B_4)) # label(fact_97_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 179 (all A all B all A_3 all B_4 (produc24551831t_char(A,B) = produc24551831t_char(A_3,B_4) <-> A = A_3 & B = B_4)) # label(fact_98_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 180 (all A all B all A_3 all B_4 (produc1951691075on_val(A,B) = produc1951691075on_val(A_3,B_4) <-> A = A_3 & B = B_4)) # label(fact_99_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 181 (all A all B all A_3 all B_4 (produc870913623on_val(A,B) = produc870913623on_val(A_3,B_4) <-> A = A_3 & B = B_4)) # label(fact_100_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 182 (all A all B all A_3 all B_4 (produc1564932627on_val(A,B) = produc1564932627on_val(A_3,B_4) <-> A = A_3 & B = B_4)) # label(fact_101_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 183 (all A all B all A_3 all B_4 (produc1441475159on_val(A,B) = produc1441475159on_val(A_3,B_4) <-> A = A_3 & B = B_4)) # label(fact_102_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 184 (all A all B all A_3 all B_4 (produc1259058957on_val(A,B) = produc1259058957on_val(A_3,B_4) <-> A = A_3 & B = B_4)) # label(fact_103_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 185 (all A all B all A_3 all B_4 (produc899768717on_val(A,B) = produc899768717on_val(A_3,B_4) <-> A = A_3 & B = B_4)) # label(fact_104_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 186 (all A all B all A_3 all B_4 (produc1611380469on_val(A,B) = produc1611380469on_val(A_3,B_4) <-> A = A_3 & B = B_4)) # label(fact_105_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 187 (all A all B all A_3 all B_4 (produc379668296on_val(A,B) = produc379668296on_val(A_3,B_4) <-> A = A_3 & B = B_4)) # label(fact_106_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 188 (all A all B all A_3 all B_4 (produc921874948t_char(A,B) = produc921874948t_char(A_3,B_4) <-> A = A_3 & B = B_4)) # label(fact_107_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 189 (all A all B all A_3 all B_4 (produc1909267824t_char(A,B) = produc1909267824t_char(A_3,B_4) <-> A = A_3 & B = B_4)) # label(fact_108_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 190 (all A all B all A_3 all B_4 (produc1916172923t_char(A,B) = produc1916172923t_char(A_3,B_4) <-> A = A_3 & B = B_4)) # label(fact_109_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 191 (all A all B all A_3 all B_4 (is_bop(A) & is_bop(A_3) -> (produc621191550al_val(A,B) = produc621191550al_val(A_3,B_4) <-> A = A_3 & B = B_4))) # label(fact_110_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 192 (all A all B all A_3 all B_4 (product_Pair_val_val(A,B) = product_Pair_val_val(A_3,B_4) <-> A = A_3 & B = B_4)) # label(fact_111_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 193 (all A all B all A_3 all B_4 (produc823076510on_val(A,B) = produc823076510on_val(A_3,B_4) <-> A = A_3 & B = B_4)) # label(fact_112_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 194 (all A all B all A_3 all B_4 (produc5062597t_char(A,B) = produc5062597t_char(A_3,B_4) <-> A = A_3 & B = B_4)) # label(fact_113_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 195 (all A all B all A_3 all B_4 (produc1147572817t_char(A,B) = produc1147572817t_char(A_3,B_4) <-> A = A_3 & B = B_4)) # label(fact_114_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 196 (all A_78 all B_3 all A_77 all B_2 (produc1002914035har_ty(A_78,B_3) = produc1002914035har_ty(A_77,B_2) -> -(A_78 = A_77 -> B_3 != B_2))) # label(fact_115_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 197 (all A_78 all B_3 all A_77 all B_2 (produc1265154397har_ty(A_78,B_3) = produc1265154397har_ty(A_77,B_2) -> -(A_78 = A_77 -> B_3 != B_2))) # label(fact_116_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 198 (all A_78 all B_3 all A_77 all B_2 (produc251930284har_ty(A_78,B_3) = produc251930284har_ty(A_77,B_2) -> -(A_78 = A_77 -> B_3 != B_2))) # label(fact_117_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 199 (all A_78 all B_3 all A_77 all B_2 (produc1897818327t_char(A_78,B_3) = produc1897818327t_char(A_77,B_2) -> -(A_78 = A_77 -> B_3 != B_2))) # label(fact_118_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 200 (all A_78 all B_3 all A_77 all B_2 (produc2080520419t_char(A_78,B_3) = produc2080520419t_char(A_77,B_2) -> -(A_78 = A_77 -> B_3 != B_2))) # label(fact_119_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 201 (all A all B all A_3 all B_4 (produc499151895on_val(A,B) = produc499151895on_val(A_3,B_4) -> -(A = A_3 -> B != B_4))) # label(fact_120_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 202 (all A_78 all B_3 all A_77 all B_2 (produc1244920211al_val(A_78,B_3) = produc1244920211al_val(A_77,B_2) -> -(A_78 = A_77 -> B_3 != B_2))) # label(fact_121_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 203 (all A_78 all B_3 all A_77 all B_2 (produc1924279125al_val(A_78,B_3) = produc1924279125al_val(A_77,B_2) -> -(A_78 = A_77 -> B_3 != B_2))) # label(fact_122_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 204 (all A_78 all B_3 all A_77 all B_2 (produc1299387215t_char(A_78,B_3) = produc1299387215t_char(A_77,B_2) -> -(A_78 = A_77 -> B_3 != B_2))) # label(fact_123_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 205 (all A_78 all B_3 all A_77 all B_2 (produc57279289t_char(A_78,B_3) = produc57279289t_char(A_77,B_2) -> -(A_78 = A_77 -> B_3 != B_2))) # label(fact_124_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 206 (all A_78 all B_3 all A_77 all B_2 (produc24551831t_char(A_78,B_3) = produc24551831t_char(A_77,B_2) -> -(A_78 = A_77 -> B_3 != B_2))) # label(fact_125_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 207 (all A all B all A_3 all B_4 (produc1951691075on_val(A,B) = produc1951691075on_val(A_3,B_4) -> -(A = A_3 -> B != B_4))) # label(fact_126_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 208 (all A all B all A_3 all B_4 (produc870913623on_val(A,B) = produc870913623on_val(A_3,B_4) -> -(A = A_3 -> B != B_4))) # label(fact_127_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 209 (all A all B all A_3 all B_4 (produc1564932627on_val(A,B) = produc1564932627on_val(A_3,B_4) -> -(A = A_3 -> B != B_4))) # label(fact_128_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 210 (all A all B all A_3 all B_4 (produc1441475159on_val(A,B) = produc1441475159on_val(A_3,B_4) -> -(A = A_3 -> B != B_4))) # label(fact_129_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 211 (all A all B all A_3 all B_4 (produc1259058957on_val(A,B) = produc1259058957on_val(A_3,B_4) -> -(A = A_3 -> B != B_4))) # label(fact_130_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 212 (all A all B all A_3 all B_4 (produc899768717on_val(A,B) = produc899768717on_val(A_3,B_4) -> -(A = A_3 -> B != B_4))) # label(fact_131_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 213 (all A all B all A_3 all B_4 (produc1611380469on_val(A,B) = produc1611380469on_val(A_3,B_4) -> -(A = A_3 -> B != B_4))) # label(fact_132_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 214 (all A all B all A_3 all B_4 (produc379668296on_val(A,B) = produc379668296on_val(A_3,B_4) -> -(A = A_3 -> B != B_4))) # label(fact_133_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 215 (all A_78 all B_3 all A_77 all B_2 (produc921874948t_char(A_78,B_3) = produc921874948t_char(A_77,B_2) -> -(A_78 = A_77 -> B_3 != B_2))) # label(fact_134_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 216 (all A_78 all B_3 all A_77 all B_2 (produc1909267824t_char(A_78,B_3) = produc1909267824t_char(A_77,B_2) -> -(A_78 = A_77 -> B_3 != B_2))) # label(fact_135_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 217 (all A_78 all B_3 all A_77 all B_2 (produc1916172923t_char(A_78,B_3) = produc1916172923t_char(A_77,B_2) -> -(A_78 = A_77 -> B_3 != B_2))) # label(fact_136_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 218 (all A_78 all B_3 all A_77 all B_2 (is_bop(A_78) & is_bop(A_77) -> (produc621191550al_val(A_78,B_3) = produc621191550al_val(A_77,B_2) -> -(A_78 = A_77 -> B_3 != B_2)))) # label(fact_137_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 219 (all A_78 all B_3 all A_77 all B_2 (product_Pair_val_val(A_78,B_3) = product_Pair_val_val(A_77,B_2) -> -(A_78 = A_77 -> B_3 != B_2))) # label(fact_138_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 220 (all A all B all A_3 all B_4 (produc823076510on_val(A,B) = produc823076510on_val(A_3,B_4) -> -(A = A_3 -> B != B_4))) # label(fact_139_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 221 (all A_78 all B_3 all A_77 all B_2 (produc5062597t_char(A_78,B_3) = produc5062597t_char(A_77,B_2) -> -(A_78 = A_77 -> B_3 != B_2))) # label(fact_140_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 222 (all A_78 all B_3 all A_77 all B_2 (produc1147572817t_char(A_78,B_3) = produc1147572817t_char(A_77,B_2) -> -(A_78 = A_77 -> B_3 != B_2))) # label(fact_141_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 223 (all Ha hBOOL(hext(Ha,Ha))) # label(fact_142_hext__refl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 224 (all H_a all Pa all Ha all E_1 all Ea all T_3 (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,Ea),T_3)) -> (hBOOL(hext(Ha,H_a)) -> hBOOL(hAPP_ty_bool(wTrt(Pa,H_a,E_1,Ea),T_3))))) # label(fact_143_WTrt__hext__mono) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 225 (all L_0 all Ea all Ha all La all E_a all H_a all L_a all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,produc899768717on_val(Ha,La)),produc1259058957on_val(E_a,produc899768717on_val(H_a,L_a))),red(Pa))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,produc899768717on_val(Ha,map_ad325961431ar_val(L_0,La))),produc1259058957on_val(E_a,produc899768717on_val(H_a,map_ad325961431ar_val(L_0,L_a)))),red(Pa))))) # label(fact_144_red__lcl__add) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 226 (all Y_3 -(all A_1 all B_1 Y_3 != produc1002914035har_ty(A_1,B_1))) # label(fact_145_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 227 (all Y_3 -(all A_1 all B_1 Y_3 != produc1265154397har_ty(A_1,B_1))) # label(fact_146_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 228 (all Y_3 -(all A_1 all B_1 Y_3 != produc251930284har_ty(A_1,B_1))) # label(fact_147_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 229 (all Y_3 -(all A_1 all B_1 Y_3 != produc1897818327t_char(A_1,B_1))) # label(fact_148_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 230 (all Y_3 -(all A_1 all B_1 Y_3 != produc2080520419t_char(A_1,B_1))) # label(fact_149_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 231 (all Y_1 -(all A_1 all B_1 Y_1 != produc499151895on_val(A_1,B_1))) # label(fact_150_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 232 (all Y_3 -(all A_1 all B_1 Y_3 != produc1244920211al_val(A_1,B_1))) # label(fact_151_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 233 (all Y_3 -(all A_1 all B_1 Y_3 != produc1924279125al_val(A_1,B_1))) # label(fact_152_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 234 (all Y_3 -(all A_1 all B_1 Y_3 != produc1299387215t_char(A_1,B_1))) # label(fact_153_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 235 (all Y_3 -(all A_1 all B_1 Y_3 != produc57279289t_char(A_1,B_1))) # label(fact_154_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 236 (all Y_3 -(all A_1 all B_1 Y_3 != produc24551831t_char(A_1,B_1))) # label(fact_155_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 237 (all Y_1 -(all A_1 all B_1 Y_1 != produc1951691075on_val(A_1,B_1))) # label(fact_156_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 238 (all Y_1 -(all A_1 all B_1 Y_1 != produc870913623on_val(A_1,B_1))) # label(fact_157_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 239 (all Y_1 -(all A_1 all B_1 Y_1 != produc1564932627on_val(A_1,B_1))) # label(fact_158_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 240 (all Y_1 -(all A_1 all B_1 Y_1 != produc1441475159on_val(A_1,B_1))) # label(fact_159_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 241 (all Y_1 -(all A_1 all B_1 Y_1 != produc1259058957on_val(A_1,B_1))) # label(fact_160_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 242 (all Y_1 -(all A_1 all B_1 Y_1 != produc899768717on_val(A_1,B_1))) # label(fact_161_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 243 (all Y_1 -(all A_1 all B_1 Y_1 != produc1611380469on_val(A_1,B_1))) # label(fact_162_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 244 (all Y_1 -(all A_1 all B_1 Y_1 != produc379668296on_val(A_1,B_1))) # label(fact_163_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 245 (all Y_3 -(all A_1 all B_1 Y_3 != produc921874948t_char(A_1,B_1))) # label(fact_164_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 246 (all Y_3 -(all A_1 all B_1 Y_3 != produc1909267824t_char(A_1,B_1))) # label(fact_165_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 247 (all Y_3 -(all A_1 all B_1 Y_3 != produc1916172923t_char(A_1,B_1))) # label(fact_166_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 248 (all Y_3 -(all A_1 all B_1 (is_bop(A_1) -> Y_3 != produc621191550al_val(A_1,B_1)))) # label(fact_167_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 249 (all Y_3 -(all A_1 all B_1 Y_3 != product_Pair_val_val(A_1,B_1))) # label(fact_168_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 250 (all Y_1 -(all A_1 all B_1 Y_1 != produc823076510on_val(A_1,B_1))) # label(fact_169_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 251 (all Y_3 -(all A_1 all B_1 Y_3 != produc5062597t_char(A_1,B_1))) # label(fact_170_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 252 (all Y_3 -(all A_1 all B_1 Y_3 != produc1147572817t_char(A_1,B_1))) # label(fact_171_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 253 (all P_2 -(all X_1 all Y_2 P_2 != produc1002914035har_ty(X_1,Y_2))) # label(fact_172_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 254 (all P_2 -(all X_1 all Y_2 P_2 != produc1265154397har_ty(X_1,Y_2))) # label(fact_173_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 255 (all P_2 -(all X_1 all Y_2 P_2 != produc251930284har_ty(X_1,Y_2))) # label(fact_174_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 256 (all P_2 -(all X_1 all Y_2 P_2 != produc1897818327t_char(X_1,Y_2))) # label(fact_175_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 257 (all P_2 -(all X_1 all Y_2 P_2 != produc2080520419t_char(X_1,Y_2))) # label(fact_176_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 258 (all P_1 -(all X_1 all Y_2 P_1 != produc499151895on_val(X_1,Y_2))) # label(fact_177_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 259 (all P_2 -(all X_1 all Y_2 P_2 != produc1244920211al_val(X_1,Y_2))) # label(fact_178_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 260 (all P_2 -(all X_1 all Y_2 P_2 != produc1924279125al_val(X_1,Y_2))) # label(fact_179_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 261 (all P_2 -(all X_1 all Y_2 P_2 != produc1299387215t_char(X_1,Y_2))) # label(fact_180_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 262 (all P_2 -(all X_1 all Y_2 P_2 != produc57279289t_char(X_1,Y_2))) # label(fact_181_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 263 (all P_2 -(all X_1 all Y_2 P_2 != produc24551831t_char(X_1,Y_2))) # label(fact_182_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 264 (all P_1 -(all X_1 all Y_2 P_1 != produc1951691075on_val(X_1,Y_2))) # label(fact_183_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 265 (all P_1 -(all X_1 all Y_2 P_1 != produc870913623on_val(X_1,Y_2))) # label(fact_184_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 266 (all P_1 -(all X_1 all Y_2 P_1 != produc1564932627on_val(X_1,Y_2))) # label(fact_185_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 267 (all P_1 -(all X_1 all Y_2 P_1 != produc1441475159on_val(X_1,Y_2))) # label(fact_186_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 268 (all P_1 -(all X_1 all Y_2 P_1 != produc1259058957on_val(X_1,Y_2))) # label(fact_187_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 269 (all P_1 -(all X_1 all Y_2 P_1 != produc899768717on_val(X_1,Y_2))) # label(fact_188_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 270 (all P_1 -(all X_1 all Y_2 P_1 != produc1611380469on_val(X_1,Y_2))) # label(fact_189_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 271 (all P_1 -(all X_1 all Y_2 P_1 != produc379668296on_val(X_1,Y_2))) # label(fact_190_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 272 (all P_2 -(all X_1 all Y_2 P_2 != produc921874948t_char(X_1,Y_2))) # label(fact_191_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 273 (all P_2 -(all X_1 all Y_2 P_2 != produc1909267824t_char(X_1,Y_2))) # label(fact_192_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 274 (all P_2 -(all X_1 all Y_2 P_2 != produc1916172923t_char(X_1,Y_2))) # label(fact_193_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 275 (all P_2 -(all X_1 all Y_2 (is_bop(X_1) -> P_2 != produc621191550al_val(X_1,Y_2)))) # label(fact_194_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 276 (all P_2 -(all X_1 all Y_2 P_2 != product_Pair_val_val(X_1,Y_2))) # label(fact_195_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 277 (all P_1 -(all X_1 all Y_2 P_1 != produc823076510on_val(X_1,Y_2))) # label(fact_196_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 278 (all P_2 -(all X_1 all Y_2 P_2 != produc5062597t_char(X_1,Y_2))) # label(fact_197_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 279 (all P_2 -(all X_1 all Y_2 P_2 != produc1147572817t_char(X_1,Y_2))) # label(fact_198_PairE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 280 (all Pa ((exists X1 hBOOL(hAPP_P831231943y_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P831231943y_bool(Pa,produc1002914035har_ty(A_1,B_1)))))) # label(fact_199_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 281 (all Pa ((exists X1 hBOOL(hAPP_P27757617y_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P27757617y_bool(Pa,produc1265154397har_ty(A_1,B_1)))))) # label(fact_200_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 282 (all Pa ((exists X1 hBOOL(hAPP_P748443392y_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P748443392y_bool(Pa,produc251930284har_ty(A_1,B_1)))))) # label(fact_201_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 283 (all Pa ((exists X1 hBOOL(hAPP_P1002912327r_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P1002912327r_bool(Pa,produc1897818327t_char(A_1,B_1)))))) # label(fact_202_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 284 (all Pa ((exists X1 hBOOL(hAPP_P2010574925r_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P2010574925r_bool(Pa,produc2080520419t_char(A_1,B_1)))))) # label(fact_203_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 285 (all Pa ((exists X1 hBOOL(hAPP_P124632071l_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P124632071l_bool(Pa,produc499151895on_val(A_1,B_1)))))) # label(fact_204_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 286 (all Pa ((exists X1 hBOOL(hAPP_P2123002749l_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P2123002749l_bool(Pa,produc1244920211al_val(A_1,B_1)))))) # label(fact_205_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 287 (all Pa ((exists X1 hBOOL(hAPP_P738987199l_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P738987199l_bool(Pa,produc1924279125al_val(A_1,B_1)))))) # label(fact_206_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 288 (all Pa ((exists X1 hBOOL(hAPP_P1183499705r_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P1183499705r_bool(Pa,produc1299387215t_char(A_1,B_1)))))) # label(fact_207_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 289 (all Pa ((exists X1 hBOOL(hAPP_P1240100515r_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P1240100515r_bool(Pa,produc57279289t_char(A_1,B_1)))))) # label(fact_208_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 290 (all Pa ((exists X1 hBOOL(hAPP_P824029447r_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P824029447r_bool(Pa,produc24551831t_char(A_1,B_1)))))) # label(fact_209_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 291 (all Pa ((exists X1 hBOOL(hAPP_P2028072621l_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P2028072621l_bool(Pa,produc1951691075on_val(A_1,B_1)))))) # label(fact_210_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 292 (all Pa ((exists X1 hBOOL(hAPP_P1221872711l_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P1221872711l_bool(Pa,produc870913623on_val(A_1,B_1)))))) # label(fact_211_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 293 (all Pa ((exists X1 hBOOL(hAPP_P378063101l_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P378063101l_bool(Pa,produc1564932627on_val(A_1,B_1)))))) # label(fact_212_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 294 (all Pa ((exists X1 hBOOL(hAPP_P282169671l_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P282169671l_bool(Pa,produc1441475159on_val(A_1,B_1)))))) # label(fact_213_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 295 (all Pa ((exists X1 hBOOL(hAPP_P1708370145l_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P1708370145l_bool(Pa,produc1259058957on_val(A_1,B_1)))))) # label(fact_214_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 296 (all Pa ((exists X1 hBOOL(hAPP_P159683425l_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P159683425l_bool(Pa,produc899768717on_val(A_1,B_1)))))) # label(fact_215_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 297 (all Pa ((exists X1 hBOOL(hAPP_P1333315679l_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P1333315679l_bool(Pa,produc1611380469on_val(A_1,B_1)))))) # label(fact_216_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 298 (all Pa ((exists X1 hBOOL(hAPP_P71593144l_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P71593144l_bool(Pa,produc379668296on_val(A_1,B_1)))))) # label(fact_217_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 299 (all Pa ((exists X1 hBOOL(hAPP_P92196306r_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P92196306r_bool(Pa,produc921874948t_char(A_1,B_1)))))) # label(fact_218_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 300 (all Pa ((exists X1 hBOOL(hAPP_P1907982426r_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P1907982426r_bool(Pa,produc1909267824t_char(A_1,B_1)))))) # label(fact_219_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 301 (all Pa ((exists X1 hBOOL(hAPP_P2118621157r_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P2118621157r_bool(Pa,produc1916172923t_char(A_1,B_1)))))) # label(fact_220_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 302 (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,produc621191550al_val(A_1,B_1))))))) # label(fact_221_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 303 (all Pa ((exists X1 hBOOL(hAPP_P929938951l_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P929938951l_bool(Pa,product_Pair_val_val(A_1,B_1)))))) # label(fact_222_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 304 (all Pa ((exists X1 hBOOL(hAPP_P1235399154l_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P1235399154l_bool(Pa,produc823076510on_val(A_1,B_1)))))) # label(fact_223_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 305 (all Pa ((exists X1 hBOOL(hAPP_P449474095r_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P449474095r_bool(Pa,produc5062597t_char(A_1,B_1)))))) # label(fact_224_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 306 (all Pa ((exists X1 hBOOL(hAPP_P2014166431r_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P2014166431r_bool(Pa,produc1147572817t_char(A_1,B_1)))))) # label(fact_225_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 307 (all H_4 all Ha all H_a (hBOOL(hext(Ha,H_a)) -> (hBOOL(hext(H_a,H_4)) -> hBOOL(hext(Ha,H_4))))) # label(fact_226_hext__trans) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 308 (all F_1 all A all B (hBOOL(hAPP_P831231943y_bool(F_1,produc1002914035har_ty(A,B))) -> hBOOL(hAPP_P748443392y_bool(hAPP_l1665608433y_bool(produc166740340y_bool(F_1),A),B)))) # label(fact_227_curryI) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 309 (all F_1 all A all B (hBOOL(hAPP_P27757617y_bool(F_1,produc1265154397har_ty(A,B))) -> hBOOL(hAPP_ty_bool(hAPP_P1845004857y_bool(produc1215659230y_bool(F_1),A),B)))) # label(fact_228_curryI) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 310 (all F_1 all A all B (hBOOL(hAPP_P748443392y_bool(F_1,produc251930284har_ty(A,B))) -> hBOOL(hAPP_ty_bool(hAPP_l1734756650y_bool(produc2091768109y_bool(F_1),A),B)))) # label(fact_229_curryI) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 311 (all F_1 all A all B (hBOOL(hAPP_P1002912327r_bool(F_1,produc1897818327t_char(A,B))) -> hBOOL(hAPP_P2014166431r_bool(hAPP_P1939418767r_bool(produc1295142846r_bool(F_1),A),B)))) # label(fact_230_curryI) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 312 (all F_1 all A all B (hBOOL(hAPP_P2010574925r_bool(F_1,produc2080520419t_char(A,B))) -> hBOOL(hAPP_P449474095r_bool(hAPP_P663876415r_bool(produc715708746r_bool(F_1),A),B)))) # label(fact_231_curryI) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 313 (all F_1 all A all B (hBOOL(hAPP_P124632071l_bool(F_1,produc499151895on_val(A,B))) -> hBOOL(hAPP_P1235399154l_bool(hAPP_P416784693l_bool(produc1996970750l_bool(F_1),A),B)))) # label(fact_232_curryI) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 314 (all F_1 all A all B (hBOOL(hAPP_P2123002749l_bool(F_1,produc1244920211al_val(A,B))) -> hBOOL(hAPP_P929938951l_bool(hAPP_P1815899455l_bool(produc1034940666l_bool(F_1),A),B)))) # label(fact_233_curryI) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 315 (all F_1 all A all B (hBOOL(hAPP_P738987199l_bool(F_1,produc1924279125al_val(A,B))) -> hBOOL(hAPP_P943837928l_bool(hAPP_P323054207l_bool(produc1969754044l_bool(F_1),A),B)))) # label(fact_234_curryI) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 316 (all F_1 all A all B (hBOOL(hAPP_P1183499705r_bool(F_1,produc1299387215t_char(A,B))) -> hBOOL(hAPP_P2118621157r_bool(hAPP_P357098431r_bool(produc1535899062r_bool(F_1),A),B)))) # label(fact_235_curryI) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 317 (all F_1 all A all B (hBOOL(hAPP_P1240100515r_bool(F_1,produc57279289t_char(A,B))) -> hBOOL(hAPP_P1907982426r_bool(hAPP_P1214880255r_bool(produc1268552608r_bool(F_1),A),B)))) # label(fact_236_curryI) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 318 (all F_1 all A all B (hBOOL(hAPP_P824029447r_bool(F_1,produc24551831t_char(A,B))) -> hBOOL(hAPP_P92196306r_bool(hAPP_P1928969845r_bool(produc17861502r_bool(F_1),A),B)))) # label(fact_237_curryI) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 319 (all F_1 all A all B (hBOOL(hAPP_P2028072621l_bool(F_1,produc1951691075on_val(A,B))) -> hBOOL(hAPP_P1333315679l_bool(hAPP_P220718911l_bool(produc971707818l_bool(F_1),A),B)))) # label(fact_238_curryI) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 320 (all F_1 all A all B (hBOOL(hAPP_P1221872711l_bool(F_1,produc870913623on_val(A,B))) -> hBOOL(hAPP_P159683425l_bool(hAPP_P1988153107l_bool(produc1073654846l_bool(F_1),A),B)))) # label(fact_239_curryI) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 321 (all F_1 all A all B (hBOOL(hAPP_P378063101l_bool(F_1,produc1564932627on_val(A,B))) -> hBOOL(hAPP_P282169671l_bool(hAPP_P2062527807l_bool(produc1497005946l_bool(F_1),A),B)))) # label(fact_240_curryI) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 322 (all F_1 all A all B (hBOOL(hAPP_P282169671l_bool(F_1,produc1441475159on_val(A,B))) -> hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(produc1159035454l_bool(F_1),A),B)))) # label(fact_241_curryI) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 323 (all F_1 all A all B (hBOOL(hAPP_P1708370145l_bool(F_1,produc1259058957on_val(A,B))) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(produc1911975310l_bool(F_1),A),B)))) # label(fact_242_curryI) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 324 (all F_1 all A all B (hBOOL(hAPP_P159683425l_bool(F_1,produc899768717on_val(A,B))) -> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(produc2062775566l_bool(F_1),A),B)))) # label(fact_243_curryI) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 325 (all F_1 all A all B (hBOOL(hAPP_P1333315679l_bool(F_1,produc1611380469on_val(A,B))) -> hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(produc2053127004l_bool(F_1),A),B)))) # label(fact_244_curryI) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 326 (all F_1 all A all B (hBOOL(hAPP_P71593144l_bool(F_1,produc379668296on_val(A,B))) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(produc1838470831l_bool(F_1),A),B)))) # label(fact_245_curryI) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 327 (all F_1 all A all B (hBOOL(hAPP_P92196306r_bool(F_1,produc921874948t_char(A,B))) -> hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(produc1574020101r_bool(F_1),A),B)))) # label(fact_246_curryI) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 328 (all F_1 all A all B (hBOOL(hAPP_P1907982426r_bool(F_1,produc1909267824t_char(A,B))) -> hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(produc156891095r_bool(F_1),A),B)))) # label(fact_247_curryI) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 329 (all F_1 all A all B (hBOOL(hAPP_P2118621157r_bool(F_1,produc1916172923t_char(A,B))) -> hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(produc550034914r_bool(F_1),A),B)))) # label(fact_248_curryI) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 330 (all F_1 all A all B (hBOOL(hAPP_P943837928l_bool(F_1,produc621191550al_val(A,B))) -> hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(produc1555310053l_bool(F_1),A),B)))) # label(fact_249_curryI) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 331 (all F_1 all A all B (hBOOL(hAPP_P929938951l_bool(F_1,product_Pair_val_val(A,B))) -> hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(produc886919678l_bool(F_1),A),B)))) # label(fact_250_curryI) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 332 (all F_1 all A all B (hBOOL(hAPP_P1235399154l_bool(F_1,produc823076510on_val(A,B))) -> hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(produc481748255l_bool(F_1),A),B)))) # label(fact_251_curryI) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 333 (all F_1 all A all B (hBOOL(hAPP_P449474095r_bool(F_1,produc5062597t_char(A,B))) -> hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(produc95371820r_bool(F_1),A),B)))) # label(fact_252_curryI) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 334 (all F_1 all A all B (hBOOL(hAPP_P2014166431r_bool(F_1,produc1147572817t_char(A,B))) -> hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(produc288369490r_bool(F_1),A),B)))) # label(fact_253_curryI) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 335 (all Esa all Ha all La all Es_a all H_a all L_a all Pa (hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Esa,produc899768717on_val(Ha,La)),produc379668296on_val(Es_a,produc899768717on_val(H_a,L_a))),reds(Pa))) -> hBOOL(hext(Ha,H_a)))) # label(fact_254_reds__hext__incr) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 336 (all C all V all E_2 all Ea all S_1 all E_a all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),red(Pa))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(tryCatch_list_char(Ea,C,V,E_2),S_1),produc1259058957on_val(tryCatch_list_char(E_a,C,V,E_2),S)),red(Pa))))) # label(fact_255_red__reds_OTryRed) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 337 (all F_1 all A all B (hBOOL(hAPP_P748443392y_bool(hAPP_l1665608433y_bool(produc166740340y_bool(F_1),A),B)) -> hBOOL(hAPP_P831231943y_bool(F_1,produc1002914035har_ty(A,B))))) # label(fact_256_curryD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 338 (all F_1 all A all B (hBOOL(hAPP_ty_bool(hAPP_P1845004857y_bool(produc1215659230y_bool(F_1),A),B)) -> hBOOL(hAPP_P27757617y_bool(F_1,produc1265154397har_ty(A,B))))) # label(fact_257_curryD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 339 (all F_1 all A all B (hBOOL(hAPP_ty_bool(hAPP_l1734756650y_bool(produc2091768109y_bool(F_1),A),B)) -> hBOOL(hAPP_P748443392y_bool(F_1,produc251930284har_ty(A,B))))) # label(fact_258_curryD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 340 (all F_1 all A all B (hBOOL(hAPP_P2014166431r_bool(hAPP_P1939418767r_bool(produc1295142846r_bool(F_1),A),B)) -> hBOOL(hAPP_P1002912327r_bool(F_1,produc1897818327t_char(A,B))))) # label(fact_259_curryD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 341 (all F_1 all A all B (hBOOL(hAPP_P449474095r_bool(hAPP_P663876415r_bool(produc715708746r_bool(F_1),A),B)) -> hBOOL(hAPP_P2010574925r_bool(F_1,produc2080520419t_char(A,B))))) # label(fact_260_curryD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 342 (all F_1 all A all B (hBOOL(hAPP_P1235399154l_bool(hAPP_P416784693l_bool(produc1996970750l_bool(F_1),A),B)) -> hBOOL(hAPP_P124632071l_bool(F_1,produc499151895on_val(A,B))))) # label(fact_261_curryD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 343 (all F_1 all A all B (hBOOL(hAPP_P929938951l_bool(hAPP_P1815899455l_bool(produc1034940666l_bool(F_1),A),B)) -> hBOOL(hAPP_P2123002749l_bool(F_1,produc1244920211al_val(A,B))))) # label(fact_262_curryD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 344 (all F_1 all A all B (hBOOL(hAPP_P943837928l_bool(hAPP_P323054207l_bool(produc1969754044l_bool(F_1),A),B)) -> hBOOL(hAPP_P738987199l_bool(F_1,produc1924279125al_val(A,B))))) # label(fact_263_curryD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 345 (all F_1 all A all B (hBOOL(hAPP_P2118621157r_bool(hAPP_P357098431r_bool(produc1535899062r_bool(F_1),A),B)) -> hBOOL(hAPP_P1183499705r_bool(F_1,produc1299387215t_char(A,B))))) # label(fact_264_curryD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 346 (all F_1 all A all B (hBOOL(hAPP_P1907982426r_bool(hAPP_P1214880255r_bool(produc1268552608r_bool(F_1),A),B)) -> hBOOL(hAPP_P1240100515r_bool(F_1,produc57279289t_char(A,B))))) # label(fact_265_curryD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 347 (all F_1 all A all B (hBOOL(hAPP_P92196306r_bool(hAPP_P1928969845r_bool(produc17861502r_bool(F_1),A),B)) -> hBOOL(hAPP_P824029447r_bool(F_1,produc24551831t_char(A,B))))) # label(fact_266_curryD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 348 (all F_1 all A all B (hBOOL(hAPP_P1333315679l_bool(hAPP_P220718911l_bool(produc971707818l_bool(F_1),A),B)) -> hBOOL(hAPP_P2028072621l_bool(F_1,produc1951691075on_val(A,B))))) # label(fact_267_curryD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 349 (all F_1 all A all B (hBOOL(hAPP_P159683425l_bool(hAPP_P1988153107l_bool(produc1073654846l_bool(F_1),A),B)) -> hBOOL(hAPP_P1221872711l_bool(F_1,produc870913623on_val(A,B))))) # label(fact_268_curryD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 350 (all F_1 all A all B (hBOOL(hAPP_P282169671l_bool(hAPP_P2062527807l_bool(produc1497005946l_bool(F_1),A),B)) -> hBOOL(hAPP_P378063101l_bool(F_1,produc1564932627on_val(A,B))))) # label(fact_269_curryD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 351 (all F_1 all A all B (hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(produc1159035454l_bool(F_1),A),B)) -> hBOOL(hAPP_P282169671l_bool(F_1,produc1441475159on_val(A,B))))) # label(fact_270_curryD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 352 (all F_1 all A all B (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(produc1911975310l_bool(F_1),A),B)) -> hBOOL(hAPP_P1708370145l_bool(F_1,produc1259058957on_val(A,B))))) # label(fact_271_curryD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 353 (all F_1 all A all B (hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(produc2062775566l_bool(F_1),A),B)) -> hBOOL(hAPP_P159683425l_bool(F_1,produc899768717on_val(A,B))))) # label(fact_272_curryD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 354 (all F_1 all A all B (hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(produc2053127004l_bool(F_1),A),B)) -> hBOOL(hAPP_P1333315679l_bool(F_1,produc1611380469on_val(A,B))))) # label(fact_273_curryD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 355 (all F_1 all A all B (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(produc1838470831l_bool(F_1),A),B)) -> hBOOL(hAPP_P71593144l_bool(F_1,produc379668296on_val(A,B))))) # label(fact_274_curryD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 356 (all F_1 all A all B (hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(produc1574020101r_bool(F_1),A),B)) -> hBOOL(hAPP_P92196306r_bool(F_1,produc921874948t_char(A,B))))) # label(fact_275_curryD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 357 (all F_1 all A all B (hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(produc156891095r_bool(F_1),A),B)) -> hBOOL(hAPP_P1907982426r_bool(F_1,produc1909267824t_char(A,B))))) # label(fact_276_curryD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.45 358 (all F_1 all A all B (hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(produc550034914r_bool(F_1),A),B)) -> hBOOL(hAPP_P2118621157r_bool(F_1,produc1916172923t_char(A,B))))) # label(fact_277_curryD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 359 (all F_1 all A all B (hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(produc1555310053l_bool(F_1),A),B)) -> hBOOL(hAPP_P943837928l_bool(F_1,produc621191550al_val(A,B))))) # label(fact_278_curryD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 360 (all F_1 all A all B (hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(produc886919678l_bool(F_1),A),B)) -> hBOOL(hAPP_P929938951l_bool(F_1,product_Pair_val_val(A,B))))) # label(fact_279_curryD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 361 (all F_1 all A all B (hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(produc481748255l_bool(F_1),A),B)) -> hBOOL(hAPP_P1235399154l_bool(F_1,produc823076510on_val(A,B))))) # label(fact_280_curryD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 362 (all F_1 all A all B (hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(produc95371820r_bool(F_1),A),B)) -> hBOOL(hAPP_P449474095r_bool(F_1,produc5062597t_char(A,B))))) # label(fact_281_curryD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 363 (all F_1 all A all B (hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(produc288369490r_bool(F_1),A),B)) -> hBOOL(hAPP_P2014166431r_bool(F_1,produc1147572817t_char(A,B))))) # label(fact_282_curryD) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 364 (all F_1 all A all B (hBOOL(hAPP_P748443392y_bool(hAPP_l1665608433y_bool(produc166740340y_bool(F_1),A),B)) -> hBOOL(hAPP_P831231943y_bool(F_1,produc1002914035har_ty(A,B))))) # label(fact_283_curryE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 365 (all F_1 all A all B (hBOOL(hAPP_ty_bool(hAPP_P1845004857y_bool(produc1215659230y_bool(F_1),A),B)) -> hBOOL(hAPP_P27757617y_bool(F_1,produc1265154397har_ty(A,B))))) # label(fact_284_curryE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 366 (all F_1 all A all B (hBOOL(hAPP_ty_bool(hAPP_l1734756650y_bool(produc2091768109y_bool(F_1),A),B)) -> hBOOL(hAPP_P748443392y_bool(F_1,produc251930284har_ty(A,B))))) # label(fact_285_curryE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 367 (all F_1 all A all B (hBOOL(hAPP_P2014166431r_bool(hAPP_P1939418767r_bool(produc1295142846r_bool(F_1),A),B)) -> hBOOL(hAPP_P1002912327r_bool(F_1,produc1897818327t_char(A,B))))) # label(fact_286_curryE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 368 (all F_1 all A all B (hBOOL(hAPP_P449474095r_bool(hAPP_P663876415r_bool(produc715708746r_bool(F_1),A),B)) -> hBOOL(hAPP_P2010574925r_bool(F_1,produc2080520419t_char(A,B))))) # label(fact_287_curryE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 369 (all F_1 all A all B (hBOOL(hAPP_P1235399154l_bool(hAPP_P416784693l_bool(produc1996970750l_bool(F_1),A),B)) -> hBOOL(hAPP_P124632071l_bool(F_1,produc499151895on_val(A,B))))) # label(fact_288_curryE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 370 (all F_1 all A all B (hBOOL(hAPP_P929938951l_bool(hAPP_P1815899455l_bool(produc1034940666l_bool(F_1),A),B)) -> hBOOL(hAPP_P2123002749l_bool(F_1,produc1244920211al_val(A,B))))) # label(fact_289_curryE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 371 (all F_1 all A all B (hBOOL(hAPP_P943837928l_bool(hAPP_P323054207l_bool(produc1969754044l_bool(F_1),A),B)) -> hBOOL(hAPP_P738987199l_bool(F_1,produc1924279125al_val(A,B))))) # label(fact_290_curryE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 372 (all F_1 all A all B (hBOOL(hAPP_P2118621157r_bool(hAPP_P357098431r_bool(produc1535899062r_bool(F_1),A),B)) -> hBOOL(hAPP_P1183499705r_bool(F_1,produc1299387215t_char(A,B))))) # label(fact_291_curryE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 373 (all F_1 all A all B (hBOOL(hAPP_P1907982426r_bool(hAPP_P1214880255r_bool(produc1268552608r_bool(F_1),A),B)) -> hBOOL(hAPP_P1240100515r_bool(F_1,produc57279289t_char(A,B))))) # label(fact_292_curryE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 374 (all F_1 all A all B (hBOOL(hAPP_P92196306r_bool(hAPP_P1928969845r_bool(produc17861502r_bool(F_1),A),B)) -> hBOOL(hAPP_P824029447r_bool(F_1,produc24551831t_char(A,B))))) # label(fact_293_curryE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 375 (all F_1 all A all B (hBOOL(hAPP_P1333315679l_bool(hAPP_P220718911l_bool(produc971707818l_bool(F_1),A),B)) -> hBOOL(hAPP_P2028072621l_bool(F_1,produc1951691075on_val(A,B))))) # label(fact_294_curryE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 376 (all F_1 all A all B (hBOOL(hAPP_P159683425l_bool(hAPP_P1988153107l_bool(produc1073654846l_bool(F_1),A),B)) -> hBOOL(hAPP_P1221872711l_bool(F_1,produc870913623on_val(A,B))))) # label(fact_295_curryE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 377 (all F_1 all A all B (hBOOL(hAPP_P282169671l_bool(hAPP_P2062527807l_bool(produc1497005946l_bool(F_1),A),B)) -> hBOOL(hAPP_P378063101l_bool(F_1,produc1564932627on_val(A,B))))) # label(fact_296_curryE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 378 (all F_1 all A all B (hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(produc1159035454l_bool(F_1),A),B)) -> hBOOL(hAPP_P282169671l_bool(F_1,produc1441475159on_val(A,B))))) # label(fact_297_curryE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 379 (all F_1 all A all B (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(produc1911975310l_bool(F_1),A),B)) -> hBOOL(hAPP_P1708370145l_bool(F_1,produc1259058957on_val(A,B))))) # label(fact_298_curryE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 380 (all F_1 all A all B (hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(produc2062775566l_bool(F_1),A),B)) -> hBOOL(hAPP_P159683425l_bool(F_1,produc899768717on_val(A,B))))) # label(fact_299_curryE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 381 (all F_1 all A all B (hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(produc2053127004l_bool(F_1),A),B)) -> hBOOL(hAPP_P1333315679l_bool(F_1,produc1611380469on_val(A,B))))) # label(fact_300_curryE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 382 (all F_1 all A all B (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(produc1838470831l_bool(F_1),A),B)) -> hBOOL(hAPP_P71593144l_bool(F_1,produc379668296on_val(A,B))))) # label(fact_301_curryE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 383 (all F_1 all A all B (hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(produc1574020101r_bool(F_1),A),B)) -> hBOOL(hAPP_P92196306r_bool(F_1,produc921874948t_char(A,B))))) # label(fact_302_curryE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 384 (all F_1 all A all B (hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(produc156891095r_bool(F_1),A),B)) -> hBOOL(hAPP_P1907982426r_bool(F_1,produc1909267824t_char(A,B))))) # label(fact_303_curryE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 385 (all F_1 all A all B (hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(produc550034914r_bool(F_1),A),B)) -> hBOOL(hAPP_P2118621157r_bool(F_1,produc1916172923t_char(A,B))))) # label(fact_304_curryE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 386 (all F_1 all A all B (hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(produc1555310053l_bool(F_1),A),B)) -> hBOOL(hAPP_P943837928l_bool(F_1,produc621191550al_val(A,B))))) # label(fact_305_curryE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 387 (all F_1 all A all B (hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(produc886919678l_bool(F_1),A),B)) -> hBOOL(hAPP_P929938951l_bool(F_1,product_Pair_val_val(A,B))))) # label(fact_306_curryE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 388 (all F_1 all A all B (hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(produc481748255l_bool(F_1),A),B)) -> hBOOL(hAPP_P1235399154l_bool(F_1,produc823076510on_val(A,B))))) # label(fact_307_curryE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 389 (all F_1 all A all B (hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(produc95371820r_bool(F_1),A),B)) -> hBOOL(hAPP_P449474095r_bool(F_1,produc5062597t_char(A,B))))) # label(fact_308_curryE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 390 (all F_1 all A all B (hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(produc288369490r_bool(F_1),A),B)) -> hBOOL(hAPP_P2014166431r_bool(F_1,produc1147572817t_char(A,B))))) # label(fact_309_curryE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 391 (all F_1 all A all B (hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(produc1159035454l_bool(F_1),A),B)) <-> hBOOL(hAPP_P282169671l_bool(F_1,produc1441475159on_val(A,B))))) # label(fact_310_curry__conv) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 392 (all F_1 all A all B (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(produc1911975310l_bool(F_1),A),B)) <-> hBOOL(hAPP_P1708370145l_bool(F_1,produc1259058957on_val(A,B))))) # label(fact_311_curry__conv) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 393 (all F_1 all A all B (hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(produc2062775566l_bool(F_1),A),B)) <-> hBOOL(hAPP_P159683425l_bool(F_1,produc899768717on_val(A,B))))) # label(fact_312_curry__conv) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 394 (all F_1 all A all B (hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(produc2053127004l_bool(F_1),A),B)) <-> hBOOL(hAPP_P1333315679l_bool(F_1,produc1611380469on_val(A,B))))) # label(fact_313_curry__conv) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 395 (all F_1 all A all B (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(produc1838470831l_bool(F_1),A),B)) <-> hBOOL(hAPP_P71593144l_bool(F_1,produc379668296on_val(A,B))))) # label(fact_314_curry__conv) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 396 (all F_1 all A all B (hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(produc1574020101r_bool(F_1),A),B)) <-> hBOOL(hAPP_P92196306r_bool(F_1,produc921874948t_char(A,B))))) # label(fact_315_curry__conv) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 397 (all F_1 all A all B (hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(produc156891095r_bool(F_1),A),B)) <-> hBOOL(hAPP_P1907982426r_bool(F_1,produc1909267824t_char(A,B))))) # label(fact_316_curry__conv) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 398 (all F_1 all A all B (hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(produc550034914r_bool(F_1),A),B)) <-> hBOOL(hAPP_P2118621157r_bool(F_1,produc1916172923t_char(A,B))))) # label(fact_317_curry__conv) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 399 (all F_1 all A all B (hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(produc1555310053l_bool(F_1),A),B)) <-> hBOOL(hAPP_P943837928l_bool(F_1,produc621191550al_val(A,B))))) # label(fact_318_curry__conv) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 400 (all F_1 all A all B (hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(produc886919678l_bool(F_1),A),B)) <-> hBOOL(hAPP_P929938951l_bool(F_1,product_Pair_val_val(A,B))))) # label(fact_319_curry__conv) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 401 (all F_1 all A all B (hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(produc481748255l_bool(F_1),A),B)) <-> hBOOL(hAPP_P1235399154l_bool(F_1,produc823076510on_val(A,B))))) # label(fact_320_curry__conv) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 402 (all F_1 all A all B (hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(produc95371820r_bool(F_1),A),B)) <-> hBOOL(hAPP_P449474095r_bool(F_1,produc5062597t_char(A,B))))) # label(fact_321_curry__conv) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 403 (all F_1 all A all B (hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(produc288369490r_bool(F_1),A),B)) <-> hBOOL(hAPP_P2014166431r_bool(F_1,produc1147572817t_char(A,B))))) # label(fact_322_curry__conv) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 404 (all Esa all Ea all S_1 all E_a all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),red(Pa))) -> hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(cons_exp_list_char(Ea,Esa),S_1),produc379668296on_val(cons_exp_list_char(E_a,Esa),S)),reds(Pa))))) # label(fact_323_red__reds_OListRed1) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 405 (all L_0 all Ea all Ha all La all E_a all H_a all L_a all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,produc899768717on_val(Ha,La)),produc1259058957on_val(E_a,produc899768717on_val(H_a,L_a))),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,produc899768717on_val(Ha,map_ad325961431ar_val(L_0,La))),produc1259058957on_val(E_a,produc899768717on_val(H_a,map_ad325961431ar_val(L_0,L_a)))),transi2024712006on_val(red(Pa)))))) # label(fact_324_Red__lcl__add) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 406 (all V_1 all C all V all E_2 all S_1 all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(tryCatch_list_char(hAPP_v834067052t_char(val_list_char,V_1),C,V,E_2),S_1),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1),S_1)),red(Pa)))) # label(fact_325_red__reds_ORedTry) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 407 (all M1 all M2 all M3 map_ad325961431ar_val(M1,map_ad325961431ar_val(M2,M3)) = map_ad325961431ar_val(map_ad325961431ar_val(M1,M2),M3)) # label(fact_326_map__add__assoc) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 408 (all Exp1_81 all List_3 all A all Exp2_81 all Exp1_80 all List_2 all A_3 all Exp2_80 (tryCatch_list_char(Exp1_81,List_3,A,Exp2_81) = tryCatch_list_char(Exp1_80,List_2,A_3,Exp2_80) <-> Exp1_81 = Exp1_80 & List_3 = List_2 & A = A_3 & Exp2_81 = Exp2_80)) # label(fact_327_exp_Osimps_I15_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 409 (all F all D all Ea all S_1 all E_a all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),red(Pa))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAcc_list_char(Ea,F,D),S_1),produc1259058957on_val(fAcc_list_char(E_a,F,D),S)),red(Pa))))) # label(fact_328_red__reds_OFAccRed) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 410 (all C all Ea all S_1 all E_a all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),red(Pa))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cast_list_char(C,Ea),S_1),produc1259058957on_val(cast_list_char(C,E_a),S)),red(Pa))))) # label(fact_329_red__reds_OCastRed) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 411 (all E_1_1 all E_2 all Ea all S_1 all E_a all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),red(Pa))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cond_list_char(Ea,E_1_1,E_2),S_1),produc1259058957on_val(cond_list_char(E_a,E_1_1,E_2),S)),red(Pa))))) # label(fact_330_red__reds_OCondRed) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 412 (all V_1 all M all Esa all S_1 all Es_a all S all Pa (hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Esa,S_1),produc379668296on_val(Es_a,S)),reds(Pa))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(call_list_char(hAPP_v834067052t_char(val_list_char,V_1),M,Esa),S_1),produc1259058957on_val(call_list_char(hAPP_v834067052t_char(val_list_char,V_1),M,Es_a),S)),red(Pa))))) # label(fact_331_red__reds_OCallParams) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 413 (all Bop all E_2 all Ea all S_1 all E_a all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),red(Pa))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(binOp_list_char(Ea,Bop,E_2),S_1),produc1259058957on_val(binOp_list_char(E_a,Bop,E_2),S)),red(Pa))))) # label(fact_332_red__reds_OBinOpRed1) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 414 (all M all Esa all Ea all S_1 all E_a all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),red(Pa))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(call_list_char(Ea,M,Esa),S_1),produc1259058957on_val(call_list_char(E_a,M,Esa),S)),red(Pa))))) # label(fact_333_red__reds_OCallObj) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 415 (all Val_25 all List_51 all Exp_145 hAPP_v834067052t_char(val_list_char,Val_25) != cast_list_char(List_51,Exp_145)) # label(fact_334_exp_Osimps_I45_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 416 (all Val_24 all Exp_144 all List1_73 all List2_73 hAPP_v834067052t_char(val_list_char,Val_24) != call_list_char(Exp_144,List1_73,List2_73)) # label(fact_335_exp_Osimps_I80_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 417 (all Val_23 all Exp1_145 all Exp2_145 all Exp3_25 hAPP_v834067052t_char(val_list_char,Val_23) != cond_list_char(Exp1_145,Exp2_145,Exp3_25)) # label(fact_336_exp_Osimps_I86_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 418 (all Val_22 all Exp_143 all List1_72 all List2_72 hAPP_v834067052t_char(val_list_char,Val_22) != fAcc_list_char(Exp_143,List1_72,List2_72)) # label(fact_337_exp_Osimps_I76_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 419 (all Val_21 all Exp1_144 all Bop_25 all Exp2_144 hAPP_v834067052t_char(val_list_char,Val_21) != binOp_list_char(Exp1_144,Bop_25,Exp2_144)) # label(fact_338_exp_Osimps_I70_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 420 (all List_50 all Exp_142 all Val_20 cast_list_char(List_50,Exp_142) != hAPP_v834067052t_char(val_list_char,Val_20)) # label(fact_339_exp_Osimps_I44_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 421 (all List_49 all Exp_141 all Exp_140 all List1_71 all List2_71 cast_list_char(List_49,Exp_141) != call_list_char(Exp_140,List1_71,List2_71)) # label(fact_340_exp_Osimps_I56_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 422 (all List_48 all Exp_139 all Exp1_143 all Exp2_143 all Exp3_24 cast_list_char(List_48,Exp_139) != cond_list_char(Exp1_143,Exp2_143,Exp3_24)) # label(fact_341_exp_Osimps_I62_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 423 (all List_47 all Exp_138 all Exp_137 all List1_70 all List2_70 cast_list_char(List_47,Exp_138) != fAcc_list_char(Exp_137,List1_70,List2_70)) # label(fact_342_exp_Osimps_I52_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 424 (all List_46 all Exp_136 all Exp1_142 all Bop_24 all Exp2_142 cast_list_char(List_46,Exp_136) != binOp_list_char(Exp1_142,Bop_24,Exp2_142)) # label(fact_343_exp_Osimps_I46_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 425 (all Exp_135 all List1_69 all List2_69 all Val_19 call_list_char(Exp_135,List1_69,List2_69) != hAPP_v834067052t_char(val_list_char,Val_19)) # label(fact_344_exp_Osimps_I81_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 426 (all Exp1_141 all Exp2_141 all Exp3_23 all Val_18 cond_list_char(Exp1_141,Exp2_141,Exp3_23) != hAPP_v834067052t_char(val_list_char,Val_18)) # label(fact_345_exp_Osimps_I87_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 427 (all Exp_134 all List1_68 all List2_68 all Val_17 fAcc_list_char(Exp_134,List1_68,List2_68) != hAPP_v834067052t_char(val_list_char,Val_17)) # label(fact_346_exp_Osimps_I77_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 428 (all Exp1_140 all Bop_23 all Exp2_140 all Val_16 binOp_list_char(Exp1_140,Bop_23,Exp2_140) != hAPP_v834067052t_char(val_list_char,Val_16)) # label(fact_347_exp_Osimps_I71_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 429 (all Exp_133 all List1_67 all List2_67 all List_45 all Exp_132 call_list_char(Exp_133,List1_67,List2_67) != cast_list_char(List_45,Exp_132)) # label(fact_348_exp_Osimps_I57_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 430 (all Exp1_139 all Exp2_139 all Exp3_22 all List_44 all Exp_131 cond_list_char(Exp1_139,Exp2_139,Exp3_22) != cast_list_char(List_44,Exp_131)) # label(fact_349_exp_Osimps_I63_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 431 (all Exp_130 all List1_66 all List2_66 all List_43 all Exp_129 fAcc_list_char(Exp_130,List1_66,List2_66) != cast_list_char(List_43,Exp_129)) # label(fact_350_exp_Osimps_I53_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 432 (all Exp1_138 all Bop_22 all Exp2_138 all List_42 all Exp_128 binOp_list_char(Exp1_138,Bop_22,Exp2_138) != cast_list_char(List_42,Exp_128)) # label(fact_351_exp_Osimps_I47_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 433 (all Exp_127 all List1_65 all List2_65 all Exp1_137 all Exp2_137 all Exp3_21 call_list_char(Exp_127,List1_65,List2_65) != cond_list_char(Exp1_137,Exp2_137,Exp3_21)) # label(fact_352_exp_Osimps_I188_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 434 (all Exp_126 all List1_64 all List2_64 all Exp_125 all List1_63 all List2_63 call_list_char(Exp_126,List1_64,List2_64) != fAcc_list_char(Exp_125,List1_63,List2_63)) # label(fact_353_exp_Osimps_I157_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 435 (all Exp_124 all List1_62 all List2_62 all Exp1_136 all Bop_21 all Exp2_136 call_list_char(Exp_124,List1_62,List2_62) != binOp_list_char(Exp1_136,Bop_21,Exp2_136)) # label(fact_354_exp_Osimps_I103_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 436 (all Exp1_135 all Exp2_135 all Exp3_20 all Exp_123 all List1_61 all List2_61 cond_list_char(Exp1_135,Exp2_135,Exp3_20) != call_list_char(Exp_123,List1_61,List2_61)) # label(fact_355_exp_Osimps_I189_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 437 (all Exp1_134 all Exp2_134 all Exp3_19 all Exp_122 all List1_60 all List2_60 cond_list_char(Exp1_134,Exp2_134,Exp3_19) != fAcc_list_char(Exp_122,List1_60,List2_60)) # label(fact_356_exp_Osimps_I163_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 438 (all Exp1_133 all Exp2_133 all Exp3_18 all Exp1_132 all Bop_20 all Exp2_132 cond_list_char(Exp1_133,Exp2_133,Exp3_18) != binOp_list_char(Exp1_132,Bop_20,Exp2_132)) # label(fact_357_exp_Osimps_I109_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 439 (all Exp_121 all List1_59 all List2_59 all Exp_120 all List1_58 all List2_58 fAcc_list_char(Exp_121,List1_59,List2_59) != call_list_char(Exp_120,List1_58,List2_58)) # label(fact_358_exp_Osimps_I156_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 440 (all Exp_119 all List1_57 all List2_57 all Exp1_131 all Exp2_131 all Exp3_17 fAcc_list_char(Exp_119,List1_57,List2_57) != cond_list_char(Exp1_131,Exp2_131,Exp3_17)) # label(fact_359_exp_Osimps_I162_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 441 (all Exp_118 all List1_56 all List2_56 all Exp1_130 all Bop_19 all Exp2_130 fAcc_list_char(Exp_118,List1_56,List2_56) != binOp_list_char(Exp1_130,Bop_19,Exp2_130)) # label(fact_360_exp_Osimps_I99_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 442 (all Exp1_129 all Bop_18 all Exp2_129 all Exp_117 all List1_55 all List2_55 binOp_list_char(Exp1_129,Bop_18,Exp2_129) != call_list_char(Exp_117,List1_55,List2_55)) # label(fact_361_exp_Osimps_I102_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 443 (all Exp1_128 all Bop_17 all Exp2_128 all Exp1_127 all Exp2_127 all Exp3_16 binOp_list_char(Exp1_128,Bop_17,Exp2_128) != cond_list_char(Exp1_127,Exp2_127,Exp3_16)) # label(fact_362_exp_Osimps_I108_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 444 (all Exp1_126 all Bop_16 all Exp2_126 all Exp_116 all List1_54 all List2_54 binOp_list_char(Exp1_126,Bop_16,Exp2_126) != fAcc_list_char(Exp_116,List1_54,List2_54)) # label(fact_363_exp_Osimps_I98_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 445 (all Val_15 all Val_14 (hAPP_v834067052t_char(val_list_char,Val_15) = hAPP_v834067052t_char(val_list_char,Val_14) <-> Val_15 = Val_14)) # label(fact_364_exp_Osimps_I3_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 446 (all List_3 all Exp_35 all List_2 all Exp_34 (cast_list_char(List_3,Exp_35) = cast_list_char(List_2,Exp_34) <-> List_3 = List_2 & Exp_35 = Exp_34)) # label(fact_365_exp_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 447 (all Exp_35 all List1_41 all List2_41 all Exp_34 all List1_40 all List2_40 (call_list_char(Exp_35,List1_41,List2_41) = call_list_char(Exp_34,List1_40,List2_40) <-> Exp_35 = Exp_34 & List1_41 = List1_40 & List2_41 = List2_40)) # label(fact_366_exp_Osimps_I9_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 448 (all Exp1_81 all Exp2_81 all Exp3_15 all Exp1_80 all Exp2_80 all Exp3_14 (cond_list_char(Exp1_81,Exp2_81,Exp3_15) = cond_list_char(Exp1_80,Exp2_80,Exp3_14) <-> Exp1_81 = Exp1_80 & Exp2_81 = Exp2_80 & Exp3_15 = Exp3_14)) # label(fact_367_exp_Osimps_I12_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 449 (all Exp_35 all List1_41 all List2_41 all Exp_34 all List1_40 all List2_40 (fAcc_list_char(Exp_35,List1_41,List2_41) = fAcc_list_char(Exp_34,List1_40,List2_40) <-> Exp_35 = Exp_34 & List1_41 = List1_40 & List2_41 = List2_40)) # label(fact_368_exp_Osimps_I7_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 450 (all Exp1_81 all Bop all Exp2_81 all Exp1_80 all Bop_15 all Exp2_80 (is_bop(Bop) & is_bop(Bop_15) -> (binOp_list_char(Exp1_81,Bop,Exp2_81) = binOp_list_char(Exp1_80,Bop_15,Exp2_80) <-> Exp1_81 = Exp1_80 & Bop = Bop_15 & Exp2_81 = Exp2_80))) # label(fact_369_exp_Osimps_I4_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 451 (all Val_13 all Exp1_125 all List_41 all A_76 all Exp2_125 hAPP_v834067052t_char(val_list_char,Val_13) != tryCatch_list_char(Exp1_125,List_41,A_76,Exp2_125)) # label(fact_370_exp_Osimps_I92_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 452 (all X_2 all A_75 (hBOOL(member503779467har_ty(X_2,A_75)) <-> hBOOL(hAPP_P748443392y_bool(A_75,X_2)))) # label(fact_371_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 453 (all X_2 all A_75 (hBOOL(member1783291580har_ty(X_2,A_75)) <-> hBOOL(hAPP_P27757617y_bool(A_75,X_2)))) # label(fact_372_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 454 (all X_2 all A_75 (hBOOL(member649088532al_val(X_2,A_75)) <-> hBOOL(hAPP_P929938951l_bool(A_75,X_2)))) # label(fact_373_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 455 (all X_2 all A_75 (hBOOL(member1999287380t_char(X_2,A_75)) <-> hBOOL(hAPP_P1002912327r_bool(A_75,X_2)))) # label(fact_374_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 456 (all X_2 all A_75 (hBOOL(member794220506t_char(X_2,A_75)) <-> hBOOL(hAPP_P2010574925r_bool(A_75,X_2)))) # label(fact_375_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 457 (all X_2 all A_75 (hBOOL(member1322055188on_val(X_2,A_75)) <-> hBOOL(hAPP_P124632071l_bool(A_75,X_2)))) # label(fact_376_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 458 (all X_2 all A_75 (hBOOL(member837208074al_val(X_2,A_75)) <-> hBOOL(hAPP_P2123002749l_bool(A_75,X_2)))) # label(fact_377_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 459 (all X_2 all A_75 (hBOOL(member1732271180al_val(X_2,A_75)) <-> hBOOL(hAPP_P738987199l_bool(A_75,X_2)))) # label(fact_378_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 460 (all X_2 all A_75 (hBOOL(member1161907014t_char(X_2,A_75)) <-> hBOOL(hAPP_P1183499705r_bool(A_75,X_2)))) # label(fact_379_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 461 (all X_2 all A_75 (hBOOL(member125098544t_char(X_2,A_75)) <-> hBOOL(hAPP_P1240100515r_bool(A_75,X_2)))) # label(fact_380_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 462 (all X_2 all A_75 (hBOOL(member1420286996t_char(X_2,A_75)) <-> hBOOL(hAPP_P824029447r_bool(A_75,X_2)))) # label(fact_381_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 463 (all X_2 all A_75 (hBOOL(member88670778on_val(X_2,A_75)) <-> hBOOL(hAPP_P2028072621l_bool(A_75,X_2)))) # label(fact_382_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 464 (all X_2 all A_75 (hBOOL(member563141460on_val(X_2,A_75)) <-> hBOOL(hAPP_P1221872711l_bool(A_75,X_2)))) # label(fact_383_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 465 (all X_2 all A_75 (hBOOL(member808015754on_val(X_2,A_75)) <-> hBOOL(hAPP_P378063101l_bool(A_75,X_2)))) # label(fact_384_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 466 (all X_2 all A_75 (hBOOL(member773094996on_val(X_2,A_75)) <-> hBOOL(hAPP_P282169671l_bool(A_75,X_2)))) # label(fact_385_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 467 (all X_2 all A_75 (hBOOL(member875476972on_val(X_2,A_75)) <-> hBOOL(hAPP_P1333315679l_bool(A_75,X_2)))) # label(fact_386_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 468 (all X_2 all A_75 (hBOOL(member1251428284t_char(X_2,A_75)) <-> hBOOL(hAPP_P449474095r_bool(A_75,X_2)))) # label(fact_387_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 469 (all X_2 all A_75 (hBOOL(member_list_char(X_2,A_75)) <-> hBOOL(hAPP_list_char_bool(A_75,X_2)))) # label(fact_388_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 470 (all X_2 all A_75 (hBOOL(member_nat(X_2,A_75)) <-> hBOOL(hAPP_nat_bool(A_75,X_2)))) # label(fact_389_mem__def) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 471 (all Pa collect_ty(Pa) = Pa) # label(fact_390_Collect__def) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 472 (all Exp1_124 all List_40 all A_74 all Exp2_124 all Val_12 tryCatch_list_char(Exp1_124,List_40,A_74,Exp2_124) != hAPP_v834067052t_char(val_list_char,Val_12)) # label(fact_391_exp_Osimps_I93_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 473 (all List_39 all Exp_115 all Exp1_123 all List_38 all A_73 all Exp2_123 cast_list_char(List_39,Exp_115) != tryCatch_list_char(Exp1_123,List_38,A_73,Exp2_123)) # label(fact_392_exp_Osimps_I68_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 474 (all Exp_114 all List1_53 all List2_53 all Exp1_122 all List_37 all A_72 all Exp2_122 call_list_char(Exp_114,List1_53,List2_53) != tryCatch_list_char(Exp1_122,List_37,A_72,Exp2_122)) # label(fact_393_exp_Osimps_I194_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 475 (all Exp1_121 all Exp2_121 all Exp3_13 all Exp1_120 all List_36 all A_71 all Exp2_120 cond_list_char(Exp1_121,Exp2_121,Exp3_13) != tryCatch_list_char(Exp1_120,List_36,A_71,Exp2_120)) # label(fact_394_exp_Osimps_I218_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 476 (all Exp_113 all List1_52 all List2_52 all Exp1_119 all List_35 all A_70 all Exp2_119 fAcc_list_char(Exp_113,List1_52,List2_52) != tryCatch_list_char(Exp1_119,List_35,A_70,Exp2_119)) # label(fact_395_exp_Osimps_I168_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 477 (all Exp1_118 all Bop_14 all Exp2_118 all Exp1_117 all List_34 all A_69 all Exp2_117 binOp_list_char(Exp1_118,Bop_14,Exp2_118) != tryCatch_list_char(Exp1_117,List_34,A_69,Exp2_117)) # label(fact_396_exp_Osimps_I114_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 478 (all Exp1_116 all List_33 all A_68 all Exp2_116 all List_32 all Exp_112 tryCatch_list_char(Exp1_116,List_33,A_68,Exp2_116) != cast_list_char(List_32,Exp_112)) # label(fact_397_exp_Osimps_I69_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 479 (all Exp1_115 all List_31 all A_67 all Exp2_115 all Exp_111 all List1_51 all List2_51 tryCatch_list_char(Exp1_115,List_31,A_67,Exp2_115) != call_list_char(Exp_111,List1_51,List2_51)) # label(fact_398_exp_Osimps_I195_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 480 (all Exp1_114 all List_30 all A_66 all Exp2_114 all Exp1_113 all Exp2_113 all Exp3_12 tryCatch_list_char(Exp1_114,List_30,A_66,Exp2_114) != cond_list_char(Exp1_113,Exp2_113,Exp3_12)) # label(fact_399_exp_Osimps_I219_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 481 (all Exp1_112 all List_29 all A_65 all Exp2_112 all Exp_110 all List1_50 all List2_50 tryCatch_list_char(Exp1_112,List_29,A_65,Exp2_112) != fAcc_list_char(Exp_110,List1_50,List2_50)) # label(fact_400_exp_Osimps_I169_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 482 (all Exp1_111 all List_28 all A_64 all Exp2_111 all Exp1_110 all Bop_13 all Exp2_110 tryCatch_list_char(Exp1_111,List_28,A_64,Exp2_111) != binOp_list_char(Exp1_110,Bop_13,Exp2_110)) # label(fact_401_exp_Osimps_I115_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 483 (all V_1_1 all Bop all Ea all S_1 all E_a all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),red(Pa))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_1),Bop,Ea),S_1),produc1259058957on_val(binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_1),Bop,E_a),S)),red(Pa))))) # label(fact_402_red__reds_OBinOpRed2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 484 (all V_1 all Esa all S_1 all Es_a all S all Pa (hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Esa,S_1),produc379668296on_val(Es_a,S)),reds(Pa))) -> hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_1),Esa),S_1),produc379668296on_val(cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_1),Es_a),S)),reds(Pa))))) # label(fact_403_red__reds_OListRed2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 485 (all C all V all E_2 all Ea all S_1 all V_1 all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1),S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(tryCatch_list_char(Ea,C,V,E_2),S_1),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1),S)),transi2024712006on_val(red(Pa)))))) # label(fact_404_TryRedsVal) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 486 (all V_1 all Bop all Ea all S_1 all E_a all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1),Bop,Ea),S_1),produc1259058957on_val(binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1),Bop,E_a),S)),transi2024712006on_val(red(Pa)))))) # label(fact_405_BinOp2Reds) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 487 (all C all V all E_2 all Ea all S_1 all E_a all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(tryCatch_list_char(Ea,C,V,E_2),S_1),produc1259058957on_val(tryCatch_list_char(E_a,C,V,E_2),S)),transi2024712006on_val(red(Pa)))))) # label(fact_406_TryReds) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 488 (all F all D all Ea all S_1 all E_a all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAcc_list_char(Ea,F,D),S_1),produc1259058957on_val(fAcc_list_char(E_a,F,D),S)),transi2024712006on_val(red(Pa)))))) # label(fact_407_FAccReds) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 489 (all E_1_1 all E_2 all Ea all S_1 all E_a all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cond_list_char(Ea,E_1_1,E_2),S_1),produc1259058957on_val(cond_list_char(E_a,E_1_1,E_2),S)),transi2024712006on_val(red(Pa)))))) # label(fact_408_CondReds) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 490 (all C all Ea all S_1 all E_a all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cast_list_char(C,Ea),S_1),produc1259058957on_val(cast_list_char(C,E_a),S)),transi2024712006on_val(red(Pa)))))) # label(fact_409_CastReds) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 491 (all Bop all E_2 all Ea all S_1 all E_a all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(binOp_list_char(Ea,Bop,E_2),S_1),produc1259058957on_val(binOp_list_char(E_a,Bop,E_2),S)),transi2024712006on_val(red(Pa)))))) # label(fact_410_BinOp1Reds) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 492 (all M all Esa all Ea all S_1 all E_a all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(call_list_char(Ea,M,Esa),S_1),produc1259058957on_val(call_list_char(E_a,M,Esa),S)),transi2024712006on_val(red(Pa)))))) # label(fact_411_CallRedsObj) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 493 (all A all R_1 hBOOL(member1999287380t_char(produc1897818327t_char(A,A),transi198989188t_char(R_1)))) # label(fact_412_rtrancl_Ortrancl__refl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 494 (all A all R_1 hBOOL(member794220506t_char(produc2080520419t_char(A,A),transi1095029602t_char(R_1)))) # label(fact_413_rtrancl_Ortrancl__refl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 495 (all A all R_1 hBOOL(member1322055188on_val(produc499151895on_val(A,A),transi61620055on_val(R_1)))) # label(fact_414_rtrancl_Ortrancl__refl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 496 (all A all R_1 hBOOL(member837208074al_val(produc1244920211al_val(A,A),transi1423755450al_val(R_1)))) # label(fact_415_rtrancl_Ortrancl__refl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 497 (all A all R_1 hBOOL(member1732271180al_val(produc1924279125al_val(A,A),transi1906258203al_val(R_1)))) # label(fact_416_rtrancl_Ortrancl__refl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 498 (all A all R_1 hBOOL(member1161907014t_char(produc1299387215t_char(A,A),transi1789604888t_char(R_1)))) # label(fact_417_rtrancl_Ortrancl__refl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 499 (all A all R_1 hBOOL(member125098544t_char(produc57279289t_char(A,A),transi1257872013t_char(R_1)))) # label(fact_418_rtrancl_Ortrancl__refl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 500 (all A all R_1 hBOOL(member1420286996t_char(produc24551831t_char(A,A),transi122195895t_char(R_1)))) # label(fact_419_rtrancl_Ortrancl__refl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 501 (all A all R_1 hBOOL(member88670778on_val(produc1951691075on_val(A,A),transi208336786on_val(R_1)))) # label(fact_420_rtrancl_Ortrancl__refl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 502 (all A all R_1 hBOOL(member563141460on_val(produc870913623on_val(A,A),transi921647814on_val(R_1)))) # label(fact_421_rtrancl_Ortrancl__refl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 503 (all A all R_1 hBOOL(member808015754on_val(produc1564932627on_val(A,A),transi910771962on_val(R_1)))) # label(fact_422_rtrancl_Ortrancl__refl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 504 (all A all R_1 hBOOL(member649088532al_val(product_Pair_val_val(A,A),transi935034983cl_val(R_1)))) # label(fact_423_rtrancl_Ortrancl__refl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 505 (all A all R_1 hBOOL(member773094996on_val(produc1441475159on_val(A,A),transi2024712006on_val(R_1)))) # label(fact_424_rtrancl_Ortrancl__refl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 506 (all A all R_1 hBOOL(member875476972on_val(produc1611380469on_val(A,A),transi374442731on_val(R_1)))) # label(fact_425_rtrancl_Ortrancl__refl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 507 (all A all R_1 hBOOL(member1251428284t_char(produc5062597t_char(A,A),transi1395422419t_char(R_1)))) # label(fact_426_rtrancl_Ortrancl__refl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 508 (all P_1 all R_1 (hBOOL(member649088532al_val(P_1,R_1)) -> hBOOL(member649088532al_val(P_1,transi935034983cl_val(R_1))))) # label(fact_427_r__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 509 (all P_1 all R_1 (hBOOL(member1999287380t_char(P_1,R_1)) -> hBOOL(member1999287380t_char(P_1,transi198989188t_char(R_1))))) # label(fact_428_r__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 510 (all P_1 all R_1 (hBOOL(member794220506t_char(P_1,R_1)) -> hBOOL(member794220506t_char(P_1,transi1095029602t_char(R_1))))) # label(fact_429_r__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 511 (all P_1 all R_1 (hBOOL(member1322055188on_val(P_1,R_1)) -> hBOOL(member1322055188on_val(P_1,transi61620055on_val(R_1))))) # label(fact_430_r__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 512 (all P_1 all R_1 (hBOOL(member837208074al_val(P_1,R_1)) -> hBOOL(member837208074al_val(P_1,transi1423755450al_val(R_1))))) # label(fact_431_r__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 513 (all P_1 all R_1 (hBOOL(member1732271180al_val(P_1,R_1)) -> hBOOL(member1732271180al_val(P_1,transi1906258203al_val(R_1))))) # label(fact_432_r__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 514 (all P_1 all R_1 (hBOOL(member1161907014t_char(P_1,R_1)) -> hBOOL(member1161907014t_char(P_1,transi1789604888t_char(R_1))))) # label(fact_433_r__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 515 (all P_1 all R_1 (hBOOL(member125098544t_char(P_1,R_1)) -> hBOOL(member125098544t_char(P_1,transi1257872013t_char(R_1))))) # label(fact_434_r__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 516 (all P_1 all R_1 (hBOOL(member1420286996t_char(P_1,R_1)) -> hBOOL(member1420286996t_char(P_1,transi122195895t_char(R_1))))) # label(fact_435_r__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 517 (all P_1 all R_1 (hBOOL(member88670778on_val(P_1,R_1)) -> hBOOL(member88670778on_val(P_1,transi208336786on_val(R_1))))) # label(fact_436_r__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 518 (all P_1 all R_1 (hBOOL(member563141460on_val(P_1,R_1)) -> hBOOL(member563141460on_val(P_1,transi921647814on_val(R_1))))) # label(fact_437_r__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 519 (all P_1 all R_1 (hBOOL(member808015754on_val(P_1,R_1)) -> hBOOL(member808015754on_val(P_1,transi910771962on_val(R_1))))) # label(fact_438_r__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 520 (all P_1 all R_1 (hBOOL(member773094996on_val(P_1,R_1)) -> hBOOL(member773094996on_val(P_1,transi2024712006on_val(R_1))))) # label(fact_439_r__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 521 (all P_1 all R_1 (hBOOL(member875476972on_val(P_1,R_1)) -> hBOOL(member875476972on_val(P_1,transi374442731on_val(R_1))))) # label(fact_440_r__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 522 (all P_1 all R_1 (hBOOL(member1251428284t_char(P_1,R_1)) -> hBOOL(member1251428284t_char(P_1,transi1395422419t_char(R_1))))) # label(fact_441_r__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 523 (all C_1 all A all B all R_1 (hBOOL(member1999287380t_char(produc1897818327t_char(A,B),transi198989188t_char(R_1))) -> (hBOOL(member1999287380t_char(produc1897818327t_char(B,C_1),transi198989188t_char(R_1))) -> hBOOL(member1999287380t_char(produc1897818327t_char(A,C_1),transi198989188t_char(R_1)))))) # label(fact_442_rtrancl__trans) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 524 (all C_1 all A all B all R_1 (hBOOL(member794220506t_char(produc2080520419t_char(A,B),transi1095029602t_char(R_1))) -> (hBOOL(member794220506t_char(produc2080520419t_char(B,C_1),transi1095029602t_char(R_1))) -> hBOOL(member794220506t_char(produc2080520419t_char(A,C_1),transi1095029602t_char(R_1)))))) # label(fact_443_rtrancl__trans) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 525 (all C_1 all A all B all R_1 (hBOOL(member1322055188on_val(produc499151895on_val(A,B),transi61620055on_val(R_1))) -> (hBOOL(member1322055188on_val(produc499151895on_val(B,C_1),transi61620055on_val(R_1))) -> hBOOL(member1322055188on_val(produc499151895on_val(A,C_1),transi61620055on_val(R_1)))))) # label(fact_444_rtrancl__trans) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 526 (all C_1 all A all B all R_1 (hBOOL(member837208074al_val(produc1244920211al_val(A,B),transi1423755450al_val(R_1))) -> (hBOOL(member837208074al_val(produc1244920211al_val(B,C_1),transi1423755450al_val(R_1))) -> hBOOL(member837208074al_val(produc1244920211al_val(A,C_1),transi1423755450al_val(R_1)))))) # label(fact_445_rtrancl__trans) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 527 (all C_1 all A all B all R_1 (hBOOL(member1732271180al_val(produc1924279125al_val(A,B),transi1906258203al_val(R_1))) -> (hBOOL(member1732271180al_val(produc1924279125al_val(B,C_1),transi1906258203al_val(R_1))) -> hBOOL(member1732271180al_val(produc1924279125al_val(A,C_1),transi1906258203al_val(R_1)))))) # label(fact_446_rtrancl__trans) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 528 (all C_1 all A all B all R_1 (hBOOL(member1161907014t_char(produc1299387215t_char(A,B),transi1789604888t_char(R_1))) -> (hBOOL(member1161907014t_char(produc1299387215t_char(B,C_1),transi1789604888t_char(R_1))) -> hBOOL(member1161907014t_char(produc1299387215t_char(A,C_1),transi1789604888t_char(R_1)))))) # label(fact_447_rtrancl__trans) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 529 (all C_1 all A all B all R_1 (hBOOL(member125098544t_char(produc57279289t_char(A,B),transi1257872013t_char(R_1))) -> (hBOOL(member125098544t_char(produc57279289t_char(B,C_1),transi1257872013t_char(R_1))) -> hBOOL(member125098544t_char(produc57279289t_char(A,C_1),transi1257872013t_char(R_1)))))) # label(fact_448_rtrancl__trans) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 530 (all C_1 all A all B all R_1 (hBOOL(member1420286996t_char(produc24551831t_char(A,B),transi122195895t_char(R_1))) -> (hBOOL(member1420286996t_char(produc24551831t_char(B,C_1),transi122195895t_char(R_1))) -> hBOOL(member1420286996t_char(produc24551831t_char(A,C_1),transi122195895t_char(R_1)))))) # label(fact_449_rtrancl__trans) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 531 (all C_1 all A all B all R_1 (hBOOL(member88670778on_val(produc1951691075on_val(A,B),transi208336786on_val(R_1))) -> (hBOOL(member88670778on_val(produc1951691075on_val(B,C_1),transi208336786on_val(R_1))) -> hBOOL(member88670778on_val(produc1951691075on_val(A,C_1),transi208336786on_val(R_1)))))) # label(fact_450_rtrancl__trans) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 532 (all C_1 all A all B all R_1 (hBOOL(member563141460on_val(produc870913623on_val(A,B),transi921647814on_val(R_1))) -> (hBOOL(member563141460on_val(produc870913623on_val(B,C_1),transi921647814on_val(R_1))) -> hBOOL(member563141460on_val(produc870913623on_val(A,C_1),transi921647814on_val(R_1)))))) # label(fact_451_rtrancl__trans) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 533 (all C_1 all A all B all R_1 (hBOOL(member808015754on_val(produc1564932627on_val(A,B),transi910771962on_val(R_1))) -> (hBOOL(member808015754on_val(produc1564932627on_val(B,C_1),transi910771962on_val(R_1))) -> hBOOL(member808015754on_val(produc1564932627on_val(A,C_1),transi910771962on_val(R_1)))))) # label(fact_452_rtrancl__trans) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 534 (all C_1 all A all B all R_1 (hBOOL(member649088532al_val(product_Pair_val_val(A,B),transi935034983cl_val(R_1))) -> (hBOOL(member649088532al_val(product_Pair_val_val(B,C_1),transi935034983cl_val(R_1))) -> hBOOL(member649088532al_val(product_Pair_val_val(A,C_1),transi935034983cl_val(R_1)))))) # label(fact_453_rtrancl__trans) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 535 (all C_1 all A all B all R_1 (hBOOL(member773094996on_val(produc1441475159on_val(A,B),transi2024712006on_val(R_1))) -> (hBOOL(member773094996on_val(produc1441475159on_val(B,C_1),transi2024712006on_val(R_1))) -> hBOOL(member773094996on_val(produc1441475159on_val(A,C_1),transi2024712006on_val(R_1)))))) # label(fact_454_rtrancl__trans) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 536 (all C_1 all A all B all R_1 (hBOOL(member875476972on_val(produc1611380469on_val(A,B),transi374442731on_val(R_1))) -> (hBOOL(member875476972on_val(produc1611380469on_val(B,C_1),transi374442731on_val(R_1))) -> hBOOL(member875476972on_val(produc1611380469on_val(A,C_1),transi374442731on_val(R_1)))))) # label(fact_455_rtrancl__trans) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 537 (all C_1 all A all B all R_1 (hBOOL(member1251428284t_char(produc5062597t_char(A,B),transi1395422419t_char(R_1))) -> (hBOOL(member1251428284t_char(produc5062597t_char(B,C_1),transi1395422419t_char(R_1))) -> hBOOL(member1251428284t_char(produc5062597t_char(A,C_1),transi1395422419t_char(R_1)))))) # label(fact_456_rtrancl__trans) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 538 (all R_1 transi935034983cl_val(transi935034983cl_val(R_1)) = transi935034983cl_val(R_1)) # label(fact_457_rtrancl__idemp) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 539 (all R_1 transi198989188t_char(transi198989188t_char(R_1)) = transi198989188t_char(R_1)) # label(fact_458_rtrancl__idemp) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 540 (all R_1 transi1095029602t_char(transi1095029602t_char(R_1)) = transi1095029602t_char(R_1)) # label(fact_459_rtrancl__idemp) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 541 (all R_1 transi61620055on_val(transi61620055on_val(R_1)) = transi61620055on_val(R_1)) # label(fact_460_rtrancl__idemp) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 542 (all R_1 transi1423755450al_val(transi1423755450al_val(R_1)) = transi1423755450al_val(R_1)) # label(fact_461_rtrancl__idemp) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 543 (all R_1 transi1906258203al_val(transi1906258203al_val(R_1)) = transi1906258203al_val(R_1)) # label(fact_462_rtrancl__idemp) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 544 (all R_1 transi1789604888t_char(transi1789604888t_char(R_1)) = transi1789604888t_char(R_1)) # label(fact_463_rtrancl__idemp) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 545 (all R_1 transi1257872013t_char(transi1257872013t_char(R_1)) = transi1257872013t_char(R_1)) # label(fact_464_rtrancl__idemp) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 546 (all R_1 transi122195895t_char(transi122195895t_char(R_1)) = transi122195895t_char(R_1)) # label(fact_465_rtrancl__idemp) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 547 (all R_1 transi208336786on_val(transi208336786on_val(R_1)) = transi208336786on_val(R_1)) # label(fact_466_rtrancl__idemp) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 548 (all R_1 transi921647814on_val(transi921647814on_val(R_1)) = transi921647814on_val(R_1)) # label(fact_467_rtrancl__idemp) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 549 (all R_1 transi910771962on_val(transi910771962on_val(R_1)) = transi910771962on_val(R_1)) # label(fact_468_rtrancl__idemp) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 550 (all R_1 transi2024712006on_val(transi2024712006on_val(R_1)) = transi2024712006on_val(R_1)) # label(fact_469_rtrancl__idemp) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 551 (all R_1 transi374442731on_val(transi374442731on_val(R_1)) = transi374442731on_val(R_1)) # label(fact_470_rtrancl__idemp) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 552 (all R_1 transi1395422419t_char(transi1395422419t_char(R_1)) = transi1395422419t_char(R_1)) # label(fact_471_rtrancl__idemp) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 553 (all V_1 all Esa all S_1 all Es_a all S all Pa (hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Esa,S_1),produc379668296on_val(Es_a,S)),transi374442731on_val(reds(Pa)))) -> hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_1),Esa),S_1),produc379668296on_val(cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_1),Es_a),S)),transi374442731on_val(reds(Pa)))))) # label(fact_472_ListReds2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 554 (all Esa all Ea all S_1 all E_a all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(cons_exp_list_char(Ea,Esa),S_1),produc379668296on_val(cons_exp_list_char(E_a,Esa),S)),transi374442731on_val(reds(Pa)))))) # label(fact_473_ListReds1) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 555 (all Esa all Es_a all S_2_1 all Ea all S_0 all V_1 all S_1_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_0),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1),S_1_1)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Esa,S_1_1),produc379668296on_val(Es_a,S_2_1)),transi374442731on_val(reds(Pa)))) -> hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(cons_exp_list_char(Ea,Esa),S_0),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_474_ListRedsVal) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 556 (all V_1 all M all Esa all S_1 all Es_a all S all Pa (hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Esa,S_1),produc379668296on_val(Es_a,S)),transi374442731on_val(reds(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(call_list_char(hAPP_v834067052t_char(val_list_char,V_1),M,Esa),S_1),produc1259058957on_val(call_list_char(hAPP_v834067052t_char(val_list_char,V_1),M,Es_a),S)),transi2024712006on_val(red(Pa)))))) # label(fact_475_CallRedsParams) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 557 (all C_1 all A all B all R_1 (hBOOL(member1999287380t_char(produc1897818327t_char(A,B),R_1)) -> (hBOOL(member1999287380t_char(produc1897818327t_char(B,C_1),transi198989188t_char(R_1))) -> hBOOL(member1999287380t_char(produc1897818327t_char(A,C_1),transi198989188t_char(R_1)))))) # label(fact_476_converse__rtrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 558 (all C_1 all A all B all R_1 (hBOOL(member794220506t_char(produc2080520419t_char(A,B),R_1)) -> (hBOOL(member794220506t_char(produc2080520419t_char(B,C_1),transi1095029602t_char(R_1))) -> hBOOL(member794220506t_char(produc2080520419t_char(A,C_1),transi1095029602t_char(R_1)))))) # label(fact_477_converse__rtrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 559 (all C_1 all A all B all R_1 (hBOOL(member1322055188on_val(produc499151895on_val(A,B),R_1)) -> (hBOOL(member1322055188on_val(produc499151895on_val(B,C_1),transi61620055on_val(R_1))) -> hBOOL(member1322055188on_val(produc499151895on_val(A,C_1),transi61620055on_val(R_1)))))) # label(fact_478_converse__rtrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 560 (all C_1 all A all B all R_1 (hBOOL(member837208074al_val(produc1244920211al_val(A,B),R_1)) -> (hBOOL(member837208074al_val(produc1244920211al_val(B,C_1),transi1423755450al_val(R_1))) -> hBOOL(member837208074al_val(produc1244920211al_val(A,C_1),transi1423755450al_val(R_1)))))) # label(fact_479_converse__rtrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 561 (all C_1 all A all B all R_1 (hBOOL(member1732271180al_val(produc1924279125al_val(A,B),R_1)) -> (hBOOL(member1732271180al_val(produc1924279125al_val(B,C_1),transi1906258203al_val(R_1))) -> hBOOL(member1732271180al_val(produc1924279125al_val(A,C_1),transi1906258203al_val(R_1)))))) # label(fact_480_converse__rtrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 562 (all C_1 all A all B all R_1 (hBOOL(member1161907014t_char(produc1299387215t_char(A,B),R_1)) -> (hBOOL(member1161907014t_char(produc1299387215t_char(B,C_1),transi1789604888t_char(R_1))) -> hBOOL(member1161907014t_char(produc1299387215t_char(A,C_1),transi1789604888t_char(R_1)))))) # label(fact_481_converse__rtrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 563 (all C_1 all A all B all R_1 (hBOOL(member125098544t_char(produc57279289t_char(A,B),R_1)) -> (hBOOL(member125098544t_char(produc57279289t_char(B,C_1),transi1257872013t_char(R_1))) -> hBOOL(member125098544t_char(produc57279289t_char(A,C_1),transi1257872013t_char(R_1)))))) # label(fact_482_converse__rtrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 564 (all C_1 all A all B all R_1 (hBOOL(member1420286996t_char(produc24551831t_char(A,B),R_1)) -> (hBOOL(member1420286996t_char(produc24551831t_char(B,C_1),transi122195895t_char(R_1))) -> hBOOL(member1420286996t_char(produc24551831t_char(A,C_1),transi122195895t_char(R_1)))))) # label(fact_483_converse__rtrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 565 (all C_1 all A all B all R_1 (hBOOL(member88670778on_val(produc1951691075on_val(A,B),R_1)) -> (hBOOL(member88670778on_val(produc1951691075on_val(B,C_1),transi208336786on_val(R_1))) -> hBOOL(member88670778on_val(produc1951691075on_val(A,C_1),transi208336786on_val(R_1)))))) # label(fact_484_converse__rtrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 566 (all C_1 all A all B all R_1 (hBOOL(member563141460on_val(produc870913623on_val(A,B),R_1)) -> (hBOOL(member563141460on_val(produc870913623on_val(B,C_1),transi921647814on_val(R_1))) -> hBOOL(member563141460on_val(produc870913623on_val(A,C_1),transi921647814on_val(R_1)))))) # label(fact_485_converse__rtrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 567 (all C_1 all A all B all R_1 (hBOOL(member808015754on_val(produc1564932627on_val(A,B),R_1)) -> (hBOOL(member808015754on_val(produc1564932627on_val(B,C_1),transi910771962on_val(R_1))) -> hBOOL(member808015754on_val(produc1564932627on_val(A,C_1),transi910771962on_val(R_1)))))) # label(fact_486_converse__rtrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 568 (all C_1 all A all B all R_1 (hBOOL(member649088532al_val(product_Pair_val_val(A,B),R_1)) -> (hBOOL(member649088532al_val(product_Pair_val_val(B,C_1),transi935034983cl_val(R_1))) -> hBOOL(member649088532al_val(product_Pair_val_val(A,C_1),transi935034983cl_val(R_1)))))) # label(fact_487_converse__rtrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 569 (all C_1 all A all B all R_1 (hBOOL(member773094996on_val(produc1441475159on_val(A,B),R_1)) -> (hBOOL(member773094996on_val(produc1441475159on_val(B,C_1),transi2024712006on_val(R_1))) -> hBOOL(member773094996on_val(produc1441475159on_val(A,C_1),transi2024712006on_val(R_1)))))) # label(fact_488_converse__rtrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 570 (all C_1 all A all B all R_1 (hBOOL(member875476972on_val(produc1611380469on_val(A,B),R_1)) -> (hBOOL(member875476972on_val(produc1611380469on_val(B,C_1),transi374442731on_val(R_1))) -> hBOOL(member875476972on_val(produc1611380469on_val(A,C_1),transi374442731on_val(R_1)))))) # label(fact_489_converse__rtrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 571 (all C_1 all A all B all R_1 (hBOOL(member1251428284t_char(produc5062597t_char(A,B),R_1)) -> (hBOOL(member1251428284t_char(produc5062597t_char(B,C_1),transi1395422419t_char(R_1))) -> hBOOL(member1251428284t_char(produc5062597t_char(A,C_1),transi1395422419t_char(R_1)))))) # label(fact_490_converse__rtrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 572 (all C_1 all A all B all R_1 (hBOOL(member1999287380t_char(produc1897818327t_char(A,B),transi198989188t_char(R_1))) -> (hBOOL(member1999287380t_char(produc1897818327t_char(B,C_1),R_1)) -> hBOOL(member1999287380t_char(produc1897818327t_char(A,C_1),transi198989188t_char(R_1)))))) # label(fact_491_rtrancl_Ortrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 573 (all C_1 all A all B all R_1 (hBOOL(member794220506t_char(produc2080520419t_char(A,B),transi1095029602t_char(R_1))) -> (hBOOL(member794220506t_char(produc2080520419t_char(B,C_1),R_1)) -> hBOOL(member794220506t_char(produc2080520419t_char(A,C_1),transi1095029602t_char(R_1)))))) # label(fact_492_rtrancl_Ortrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 574 (all C_1 all A all B all R_1 (hBOOL(member1322055188on_val(produc499151895on_val(A,B),transi61620055on_val(R_1))) -> (hBOOL(member1322055188on_val(produc499151895on_val(B,C_1),R_1)) -> hBOOL(member1322055188on_val(produc499151895on_val(A,C_1),transi61620055on_val(R_1)))))) # label(fact_493_rtrancl_Ortrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 575 (all C_1 all A all B all R_1 (hBOOL(member837208074al_val(produc1244920211al_val(A,B),transi1423755450al_val(R_1))) -> (hBOOL(member837208074al_val(produc1244920211al_val(B,C_1),R_1)) -> hBOOL(member837208074al_val(produc1244920211al_val(A,C_1),transi1423755450al_val(R_1)))))) # label(fact_494_rtrancl_Ortrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 576 (all C_1 all A all B all R_1 (hBOOL(member1732271180al_val(produc1924279125al_val(A,B),transi1906258203al_val(R_1))) -> (hBOOL(member1732271180al_val(produc1924279125al_val(B,C_1),R_1)) -> hBOOL(member1732271180al_val(produc1924279125al_val(A,C_1),transi1906258203al_val(R_1)))))) # label(fact_495_rtrancl_Ortrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 577 (all C_1 all A all B all R_1 (hBOOL(member1161907014t_char(produc1299387215t_char(A,B),transi1789604888t_char(R_1))) -> (hBOOL(member1161907014t_char(produc1299387215t_char(B,C_1),R_1)) -> hBOOL(member1161907014t_char(produc1299387215t_char(A,C_1),transi1789604888t_char(R_1)))))) # label(fact_496_rtrancl_Ortrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 578 (all C_1 all A all B all R_1 (hBOOL(member125098544t_char(produc57279289t_char(A,B),transi1257872013t_char(R_1))) -> (hBOOL(member125098544t_char(produc57279289t_char(B,C_1),R_1)) -> hBOOL(member125098544t_char(produc57279289t_char(A,C_1),transi1257872013t_char(R_1)))))) # label(fact_497_rtrancl_Ortrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 579 (all C_1 all A all B all R_1 (hBOOL(member1420286996t_char(produc24551831t_char(A,B),transi122195895t_char(R_1))) -> (hBOOL(member1420286996t_char(produc24551831t_char(B,C_1),R_1)) -> hBOOL(member1420286996t_char(produc24551831t_char(A,C_1),transi122195895t_char(R_1)))))) # label(fact_498_rtrancl_Ortrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 580 (all C_1 all A all B all R_1 (hBOOL(member88670778on_val(produc1951691075on_val(A,B),transi208336786on_val(R_1))) -> (hBOOL(member88670778on_val(produc1951691075on_val(B,C_1),R_1)) -> hBOOL(member88670778on_val(produc1951691075on_val(A,C_1),transi208336786on_val(R_1)))))) # label(fact_499_rtrancl_Ortrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 581 (all C_1 all A all B all R_1 (hBOOL(member563141460on_val(produc870913623on_val(A,B),transi921647814on_val(R_1))) -> (hBOOL(member563141460on_val(produc870913623on_val(B,C_1),R_1)) -> hBOOL(member563141460on_val(produc870913623on_val(A,C_1),transi921647814on_val(R_1)))))) # label(fact_500_rtrancl_Ortrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 582 (all C_1 all A all B all R_1 (hBOOL(member808015754on_val(produc1564932627on_val(A,B),transi910771962on_val(R_1))) -> (hBOOL(member808015754on_val(produc1564932627on_val(B,C_1),R_1)) -> hBOOL(member808015754on_val(produc1564932627on_val(A,C_1),transi910771962on_val(R_1)))))) # label(fact_501_rtrancl_Ortrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 583 (all C_1 all A all B all R_1 (hBOOL(member649088532al_val(product_Pair_val_val(A,B),transi935034983cl_val(R_1))) -> (hBOOL(member649088532al_val(product_Pair_val_val(B,C_1),R_1)) -> hBOOL(member649088532al_val(product_Pair_val_val(A,C_1),transi935034983cl_val(R_1)))))) # label(fact_502_rtrancl_Ortrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 584 (all C_1 all A all B all R_1 (hBOOL(member773094996on_val(produc1441475159on_val(A,B),transi2024712006on_val(R_1))) -> (hBOOL(member773094996on_val(produc1441475159on_val(B,C_1),R_1)) -> hBOOL(member773094996on_val(produc1441475159on_val(A,C_1),transi2024712006on_val(R_1)))))) # label(fact_503_rtrancl_Ortrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 585 (all C_1 all A all B all R_1 (hBOOL(member875476972on_val(produc1611380469on_val(A,B),transi374442731on_val(R_1))) -> (hBOOL(member875476972on_val(produc1611380469on_val(B,C_1),R_1)) -> hBOOL(member875476972on_val(produc1611380469on_val(A,C_1),transi374442731on_val(R_1)))))) # label(fact_504_rtrancl_Ortrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 586 (all C_1 all A all B all R_1 (hBOOL(member1251428284t_char(produc5062597t_char(A,B),transi1395422419t_char(R_1))) -> (hBOOL(member1251428284t_char(produc5062597t_char(B,C_1),R_1)) -> hBOOL(member1251428284t_char(produc5062597t_char(A,C_1),transi1395422419t_char(R_1)))))) # label(fact_505_rtrancl_Ortrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 587 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member1664419796har_ty(produc2038128087har_ty(produc1002914035har_ty(Ax,Ay),produc1002914035har_ty(Bx,By)),transi1158914604har_ty(R_1))) -> (hBOOL(hAPP_P748443392y_bool(hAPP_l1665608433y_bool(Pa,Ax),Ay)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member1664419796har_ty(produc2038128087har_ty(produc1002914035har_ty(Ax,Ay),produc1002914035har_ty(A_1,B_1)),transi1158914604har_ty(R_1))) -> (hBOOL(member1664419796har_ty(produc2038128087har_ty(produc1002914035har_ty(A_1,B_1),produc1002914035har_ty(Aa,Ba)),R_1)) -> (hBOOL(hAPP_P748443392y_bool(hAPP_l1665608433y_bool(Pa,A_1),B_1)) -> hBOOL(hAPP_P748443392y_bool(hAPP_l1665608433y_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_P748443392y_bool(hAPP_l1665608433y_bool(Pa,Bx),By)))))) # label(fact_506_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 588 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member1986596692har_ty(produc63273559har_ty(produc1265154397har_ty(Ax,Ay),produc1265154397har_ty(Bx,By)),transi935089046har_ty(R_1))) -> (hBOOL(hAPP_ty_bool(hAPP_P1845004857y_bool(Pa,Ax),Ay)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member1986596692har_ty(produc63273559har_ty(produc1265154397har_ty(Ax,Ay),produc1265154397har_ty(A_1,B_1)),transi935089046har_ty(R_1))) -> (hBOOL(member1986596692har_ty(produc63273559har_ty(produc1265154397har_ty(A_1,B_1),produc1265154397har_ty(Aa,Ba)),R_1)) -> (hBOOL(hAPP_ty_bool(hAPP_P1845004857y_bool(Pa,A_1),B_1)) -> hBOOL(hAPP_ty_bool(hAPP_P1845004857y_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_ty_bool(hAPP_P1845004857y_bool(Pa,Bx),By)))))) # label(fact_507_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.46 589 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member119266708har_ty(produc1414300567har_ty(produc251930284har_ty(Ax,Ay),produc251930284har_ty(Bx,By)),transi1325206117har_ty(R_1))) -> (hBOOL(hAPP_ty_bool(hAPP_l1734756650y_bool(Pa,Ax),Ay)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member119266708har_ty(produc1414300567har_ty(produc251930284har_ty(Ax,Ay),produc251930284har_ty(A_1,B_1)),transi1325206117har_ty(R_1))) -> (hBOOL(member119266708har_ty(produc1414300567har_ty(produc251930284har_ty(A_1,B_1),produc251930284har_ty(Aa,Ba)),R_1)) -> (hBOOL(hAPP_ty_bool(hAPP_l1734756650y_bool(Pa,A_1),B_1)) -> hBOOL(hAPP_ty_bool(hAPP_l1734756650y_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_ty_bool(hAPP_l1734756650y_bool(Pa,Bx),By)))))) # label(fact_508_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 590 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member902595210t_char(produc253822483t_char(produc1897818327t_char(Ax,Ay),produc1897818327t_char(Bx,By)),transi1630776058t_char(R_1))) -> (hBOOL(hAPP_P2014166431r_bool(hAPP_P1939418767r_bool(Pa,Ax),Ay)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member902595210t_char(produc253822483t_char(produc1897818327t_char(Ax,Ay),produc1897818327t_char(A_1,B_1)),transi1630776058t_char(R_1))) -> (hBOOL(member902595210t_char(produc253822483t_char(produc1897818327t_char(A_1,B_1),produc1897818327t_char(Aa,Ba)),R_1)) -> (hBOOL(hAPP_P2014166431r_bool(hAPP_P1939418767r_bool(Pa,A_1),B_1)) -> hBOOL(hAPP_P2014166431r_bool(hAPP_P1939418767r_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_P2014166431r_bool(hAPP_P1939418767r_bool(Pa,Bx),By)))))) # label(fact_509_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 591 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member1689070870t_char(produc354099231t_char(produc2080520419t_char(Ax,Ay),produc2080520419t_char(Bx,By)),transi15035776t_char(R_1))) -> (hBOOL(hAPP_P449474095r_bool(hAPP_P663876415r_bool(Pa,Ax),Ay)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member1689070870t_char(produc354099231t_char(produc2080520419t_char(Ax,Ay),produc2080520419t_char(A_1,B_1)),transi15035776t_char(R_1))) -> (hBOOL(member1689070870t_char(produc354099231t_char(produc2080520419t_char(A_1,B_1),produc2080520419t_char(Aa,Ba)),R_1)) -> (hBOOL(hAPP_P449474095r_bool(hAPP_P663876415r_bool(Pa,A_1),B_1)) -> hBOOL(hAPP_P449474095r_bool(hAPP_P663876415r_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_P449474095r_bool(hAPP_P663876415r_bool(Pa,Bx),By)))))) # label(fact_510_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 592 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member1114719754on_val(produc434506131on_val(produc499151895on_val(Ax,Ay),produc499151895on_val(Bx,By)),transi1953049786on_val(R_1))) -> (hBOOL(hAPP_P1235399154l_bool(hAPP_P416784693l_bool(Pa,Ax),Ay)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member1114719754on_val(produc434506131on_val(produc499151895on_val(Ax,Ay),produc499151895on_val(A_1,B_1)),transi1953049786on_val(R_1))) -> (hBOOL(member1114719754on_val(produc434506131on_val(produc499151895on_val(A_1,B_1),produc499151895on_val(Aa,Ba)),R_1)) -> (hBOOL(hAPP_P1235399154l_bool(hAPP_P416784693l_bool(Pa,A_1),B_1)) -> hBOOL(hAPP_P1235399154l_bool(hAPP_P416784693l_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_P1235399154l_bool(hAPP_P416784693l_bool(Pa,Bx),By)))))) # label(fact_511_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 593 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member384848502al_val(produc94135935al_val(produc1244920211al_val(Ax,Ay),produc1244920211al_val(Bx,By)),transi1927461808al_val(R_1))) -> (hBOOL(hAPP_P929938951l_bool(hAPP_P1815899455l_bool(Pa,Ax),Ay)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member384848502al_val(produc94135935al_val(produc1244920211al_val(Ax,Ay),produc1244920211al_val(A_1,B_1)),transi1927461808al_val(R_1))) -> (hBOOL(member384848502al_val(produc94135935al_val(produc1244920211al_val(A_1,B_1),produc1244920211al_val(Aa,Ba)),R_1)) -> (hBOOL(hAPP_P929938951l_bool(hAPP_P1815899455l_bool(Pa,A_1),B_1)) -> hBOOL(hAPP_P929938951l_bool(hAPP_P1815899455l_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_P929938951l_bool(hAPP_P1815899455l_bool(Pa,Bx),By)))))) # label(fact_512_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 594 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member23198458al_val(produc370870787al_val(produc1924279125al_val(Ax,Ay),produc1924279125al_val(Bx,By)),transi486718450al_val(R_1))) -> (hBOOL(hAPP_P943837928l_bool(hAPP_P323054207l_bool(Pa,Ax),Ay)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member23198458al_val(produc370870787al_val(produc1924279125al_val(Ax,Ay),produc1924279125al_val(A_1,B_1)),transi486718450al_val(R_1))) -> (hBOOL(member23198458al_val(produc370870787al_val(produc1924279125al_val(A_1,B_1),produc1924279125al_val(Aa,Ba)),R_1)) -> (hBOOL(hAPP_P943837928l_bool(hAPP_P323054207l_bool(Pa,A_1),B_1)) -> hBOOL(hAPP_P943837928l_bool(hAPP_P323054207l_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_P943837928l_bool(hAPP_P323054207l_bool(Pa,Bx),By)))))) # label(fact_513_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 595 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member1105423342t_char(produc627518711t_char(produc1299387215t_char(Ax,Ay),produc1299387215t_char(Bx,By)),transi1803333868t_char(R_1))) -> (hBOOL(hAPP_P2118621157r_bool(hAPP_P357098431r_bool(Pa,Ax),Ay)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member1105423342t_char(produc627518711t_char(produc1299387215t_char(Ax,Ay),produc1299387215t_char(A_1,B_1)),transi1803333868t_char(R_1))) -> (hBOOL(member1105423342t_char(produc627518711t_char(produc1299387215t_char(A_1,B_1),produc1299387215t_char(Aa,Ba)),R_1)) -> (hBOOL(hAPP_P2118621157r_bool(hAPP_P357098431r_bool(Pa,A_1),B_1)) -> hBOOL(hAPP_P2118621157r_bool(hAPP_P357098431r_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_P2118621157r_bool(hAPP_P357098431r_bool(Pa,Bx),By)))))) # label(fact_514_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 596 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member371591362t_char(produc913263563t_char(produc57279289t_char(Ax,Ay),produc57279289t_char(Bx,By)),transi1452021206t_char(R_1))) -> (hBOOL(hAPP_P1907982426r_bool(hAPP_P1214880255r_bool(Pa,Ax),Ay)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member371591362t_char(produc913263563t_char(produc57279289t_char(Ax,Ay),produc57279289t_char(A_1,B_1)),transi1452021206t_char(R_1))) -> (hBOOL(member371591362t_char(produc913263563t_char(produc57279289t_char(A_1,B_1),produc57279289t_char(Aa,Ba)),R_1)) -> (hBOOL(hAPP_P1907982426r_bool(hAPP_P1214880255r_bool(Pa,A_1),B_1)) -> hBOOL(hAPP_P1907982426r_bool(hAPP_P1214880255r_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_P1907982426r_bool(hAPP_P1214880255r_bool(Pa,Bx),By)))))) # label(fact_515_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 597 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member1934728458t_char(produc1288549779t_char(produc24551831t_char(Ax,Ay),produc24551831t_char(Bx,By)),transi2072254650t_char(R_1))) -> (hBOOL(hAPP_P92196306r_bool(hAPP_P1928969845r_bool(Pa,Ax),Ay)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member1934728458t_char(produc1288549779t_char(produc24551831t_char(Ax,Ay),produc24551831t_char(A_1,B_1)),transi2072254650t_char(R_1))) -> (hBOOL(member1934728458t_char(produc1288549779t_char(produc24551831t_char(A_1,B_1),produc24551831t_char(Aa,Ba)),R_1)) -> (hBOOL(hAPP_P92196306r_bool(hAPP_P1928969845r_bool(Pa,A_1),B_1)) -> hBOOL(hAPP_P92196306r_bool(hAPP_P1928969845r_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_P92196306r_bool(hAPP_P1928969845r_bool(Pa,Bx),By)))))) # label(fact_516_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 598 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member1837727190on_val(produc722767071on_val(produc1951691075on_val(Ax,Ay),produc1951691075on_val(Bx,By)),transi1751449568on_val(R_1))) -> (hBOOL(hAPP_P1333315679l_bool(hAPP_P220718911l_bool(Pa,Ax),Ay)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member1837727190on_val(produc722767071on_val(produc1951691075on_val(Ax,Ay),produc1951691075on_val(A_1,B_1)),transi1751449568on_val(R_1))) -> (hBOOL(member1837727190on_val(produc722767071on_val(produc1951691075on_val(A_1,B_1),produc1951691075on_val(Aa,Ba)),R_1)) -> (hBOOL(hAPP_P1333315679l_bool(hAPP_P220718911l_bool(Pa,A_1),B_1)) -> hBOOL(hAPP_P1333315679l_bool(hAPP_P220718911l_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_P1333315679l_bool(hAPP_P220718911l_bool(Pa,Bx),By)))))) # label(fact_517_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 599 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member2032527242on_val(produc935654419on_val(produc870913623on_val(Ax,Ay),produc870913623on_val(Bx,By)),transi594096122on_val(R_1))) -> (hBOOL(hAPP_P159683425l_bool(hAPP_P1988153107l_bool(Pa,Ax),Ay)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member2032527242on_val(produc935654419on_val(produc870913623on_val(Ax,Ay),produc870913623on_val(A_1,B_1)),transi594096122on_val(R_1))) -> (hBOOL(member2032527242on_val(produc935654419on_val(produc870913623on_val(A_1,B_1),produc870913623on_val(Aa,Ba)),R_1)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_P1988153107l_bool(Pa,A_1),B_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_P1988153107l_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_P159683425l_bool(hAPP_P1988153107l_bool(Pa,Bx),By)))))) # label(fact_518_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 600 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member712690550on_val(produc1729053055on_val(produc1564932627on_val(Ax,Ay),produc1564932627on_val(Bx,By)),transi678815536on_val(R_1))) -> (hBOOL(hAPP_P282169671l_bool(hAPP_P2062527807l_bool(Pa,Ax),Ay)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member712690550on_val(produc1729053055on_val(produc1564932627on_val(Ax,Ay),produc1564932627on_val(A_1,B_1)),transi678815536on_val(R_1))) -> (hBOOL(member712690550on_val(produc1729053055on_val(produc1564932627on_val(A_1,B_1),produc1564932627on_val(Aa,Ba)),R_1)) -> (hBOOL(hAPP_P282169671l_bool(hAPP_P2062527807l_bool(Pa,A_1),B_1)) -> hBOOL(hAPP_P282169671l_bool(hAPP_P2062527807l_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_P282169671l_bool(hAPP_P2062527807l_bool(Pa,Bx),By)))))) # label(fact_519_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 601 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member808015754on_val(produc1564932627on_val(produc1441475159on_val(Ax,Ay),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(produc1564932627on_val(produc1441475159on_val(Ax,Ay),produc1441475159on_val(A_1,B_1)),transi910771962on_val(R_1))) -> (hBOOL(member808015754on_val(produc1564932627on_val(produc1441475159on_val(A_1,B_1),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_520_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 602 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member563141460on_val(produc870913623on_val(produc899768717on_val(Ax,Ay),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(produc870913623on_val(produc899768717on_val(Ax,Ay),produc899768717on_val(A_1,B_1)),transi921647814on_val(R_1))) -> (hBOOL(member563141460on_val(produc870913623on_val(produc899768717on_val(A_1,B_1),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_521_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 603 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member88670778on_val(produc1951691075on_val(produc1611380469on_val(Ax,Ay),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(produc1951691075on_val(produc1611380469on_val(Ax,Ay),produc1611380469on_val(A_1,B_1)),transi208336786on_val(R_1))) -> (hBOOL(member88670778on_val(produc1951691075on_val(produc1611380469on_val(A_1,B_1),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_522_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 604 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member1420286996t_char(produc24551831t_char(produc921874948t_char(Ax,Ay),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(produc24551831t_char(produc921874948t_char(Ax,Ay),produc921874948t_char(A_1,B_1)),transi122195895t_char(R_1))) -> (hBOOL(member1420286996t_char(produc24551831t_char(produc921874948t_char(A_1,B_1),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_523_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 605 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member125098544t_char(produc57279289t_char(produc1909267824t_char(Ax,Ay),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(produc57279289t_char(produc1909267824t_char(Ax,Ay),produc1909267824t_char(A_1,B_1)),transi1257872013t_char(R_1))) -> (hBOOL(member125098544t_char(produc57279289t_char(produc1909267824t_char(A_1,B_1),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_524_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 606 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member1161907014t_char(produc1299387215t_char(produc1916172923t_char(Ax,Ay),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(produc1299387215t_char(produc1916172923t_char(Ax,Ay),produc1916172923t_char(A_1,B_1)),transi1789604888t_char(R_1))) -> (hBOOL(member1161907014t_char(produc1299387215t_char(produc1916172923t_char(A_1,B_1),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_525_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 607 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member1732271180al_val(produc1924279125al_val(produc621191550al_val(Ax,Ay),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(produc1924279125al_val(produc621191550al_val(Ax,Ay),produc621191550al_val(A_1,B_1)),transi1906258203al_val(R_1))) -> (hBOOL(member1732271180al_val(produc1924279125al_val(produc621191550al_val(A_1,B_1),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_526_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 608 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member837208074al_val(produc1244920211al_val(product_Pair_val_val(Ax,Ay),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(produc1244920211al_val(product_Pair_val_val(Ax,Ay),product_Pair_val_val(A_1,B_1)),transi1423755450al_val(R_1))) -> (hBOOL(member837208074al_val(produc1244920211al_val(product_Pair_val_val(A_1,B_1),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_527_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 609 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member1322055188on_val(produc499151895on_val(produc823076510on_val(Ax,Ay),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(produc499151895on_val(produc823076510on_val(Ax,Ay),produc823076510on_val(A_1,B_1)),transi61620055on_val(R_1))) -> (hBOOL(member1322055188on_val(produc499151895on_val(produc823076510on_val(A_1,B_1),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_528_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 610 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member794220506t_char(produc2080520419t_char(produc5062597t_char(Ax,Ay),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(produc2080520419t_char(produc5062597t_char(Ax,Ay),produc5062597t_char(A_1,B_1)),transi1095029602t_char(R_1))) -> (hBOOL(member794220506t_char(produc2080520419t_char(produc5062597t_char(A_1,B_1),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_529_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 611 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member1999287380t_char(produc1897818327t_char(produc1147572817t_char(Ax,Ay),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(produc1897818327t_char(produc1147572817t_char(Ax,Ay),produc1147572817t_char(A_1,B_1)),transi198989188t_char(R_1))) -> (hBOOL(member1999287380t_char(produc1897818327t_char(produc1147572817t_char(A_1,B_1),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_530_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 612 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ax,Ay),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(produc1441475159on_val(produc1259058957on_val(Ax,Ay),produc1259058957on_val(A_1,B_1)),transi2024712006on_val(R_1))) -> (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(A_1,B_1),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_531_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 613 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Ax,Ay),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(produc1611380469on_val(produc379668296on_val(Ax,Ay),produc379668296on_val(A_1,B_1)),transi374442731on_val(R_1))) -> (hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(A_1,B_1),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_532_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 614 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member1664419796har_ty(produc2038128087har_ty(produc1002914035har_ty(Ax,Ay),produc1002914035har_ty(Bx,By)),transi1158914604har_ty(R_1))) -> (hBOOL(hAPP_P748443392y_bool(hAPP_l1665608433y_bool(Pa,Bx),By)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member1664419796har_ty(produc2038128087har_ty(produc1002914035har_ty(A_1,B_1),produc1002914035har_ty(Aa,Ba)),R_1)) -> (hBOOL(member1664419796har_ty(produc2038128087har_ty(produc1002914035har_ty(Aa,Ba),produc1002914035har_ty(Bx,By)),transi1158914604har_ty(R_1))) -> (hBOOL(hAPP_P748443392y_bool(hAPP_l1665608433y_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_P748443392y_bool(hAPP_l1665608433y_bool(Pa,A_1),B_1)))))) -> hBOOL(hAPP_P748443392y_bool(hAPP_l1665608433y_bool(Pa,Ax),Ay)))))) # label(fact_533_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 615 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member1986596692har_ty(produc63273559har_ty(produc1265154397har_ty(Ax,Ay),produc1265154397har_ty(Bx,By)),transi935089046har_ty(R_1))) -> (hBOOL(hAPP_ty_bool(hAPP_P1845004857y_bool(Pa,Bx),By)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member1986596692har_ty(produc63273559har_ty(produc1265154397har_ty(A_1,B_1),produc1265154397har_ty(Aa,Ba)),R_1)) -> (hBOOL(member1986596692har_ty(produc63273559har_ty(produc1265154397har_ty(Aa,Ba),produc1265154397har_ty(Bx,By)),transi935089046har_ty(R_1))) -> (hBOOL(hAPP_ty_bool(hAPP_P1845004857y_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_ty_bool(hAPP_P1845004857y_bool(Pa,A_1),B_1)))))) -> hBOOL(hAPP_ty_bool(hAPP_P1845004857y_bool(Pa,Ax),Ay)))))) # label(fact_534_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 616 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member119266708har_ty(produc1414300567har_ty(produc251930284har_ty(Ax,Ay),produc251930284har_ty(Bx,By)),transi1325206117har_ty(R_1))) -> (hBOOL(hAPP_ty_bool(hAPP_l1734756650y_bool(Pa,Bx),By)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member119266708har_ty(produc1414300567har_ty(produc251930284har_ty(A_1,B_1),produc251930284har_ty(Aa,Ba)),R_1)) -> (hBOOL(member119266708har_ty(produc1414300567har_ty(produc251930284har_ty(Aa,Ba),produc251930284har_ty(Bx,By)),transi1325206117har_ty(R_1))) -> (hBOOL(hAPP_ty_bool(hAPP_l1734756650y_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_ty_bool(hAPP_l1734756650y_bool(Pa,A_1),B_1)))))) -> hBOOL(hAPP_ty_bool(hAPP_l1734756650y_bool(Pa,Ax),Ay)))))) # label(fact_535_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 617 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member902595210t_char(produc253822483t_char(produc1897818327t_char(Ax,Ay),produc1897818327t_char(Bx,By)),transi1630776058t_char(R_1))) -> (hBOOL(hAPP_P2014166431r_bool(hAPP_P1939418767r_bool(Pa,Bx),By)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member902595210t_char(produc253822483t_char(produc1897818327t_char(A_1,B_1),produc1897818327t_char(Aa,Ba)),R_1)) -> (hBOOL(member902595210t_char(produc253822483t_char(produc1897818327t_char(Aa,Ba),produc1897818327t_char(Bx,By)),transi1630776058t_char(R_1))) -> (hBOOL(hAPP_P2014166431r_bool(hAPP_P1939418767r_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_P2014166431r_bool(hAPP_P1939418767r_bool(Pa,A_1),B_1)))))) -> hBOOL(hAPP_P2014166431r_bool(hAPP_P1939418767r_bool(Pa,Ax),Ay)))))) # label(fact_536_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 618 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member1689070870t_char(produc354099231t_char(produc2080520419t_char(Ax,Ay),produc2080520419t_char(Bx,By)),transi15035776t_char(R_1))) -> (hBOOL(hAPP_P449474095r_bool(hAPP_P663876415r_bool(Pa,Bx),By)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member1689070870t_char(produc354099231t_char(produc2080520419t_char(A_1,B_1),produc2080520419t_char(Aa,Ba)),R_1)) -> (hBOOL(member1689070870t_char(produc354099231t_char(produc2080520419t_char(Aa,Ba),produc2080520419t_char(Bx,By)),transi15035776t_char(R_1))) -> (hBOOL(hAPP_P449474095r_bool(hAPP_P663876415r_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_P449474095r_bool(hAPP_P663876415r_bool(Pa,A_1),B_1)))))) -> hBOOL(hAPP_P449474095r_bool(hAPP_P663876415r_bool(Pa,Ax),Ay)))))) # label(fact_537_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 619 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member1114719754on_val(produc434506131on_val(produc499151895on_val(Ax,Ay),produc499151895on_val(Bx,By)),transi1953049786on_val(R_1))) -> (hBOOL(hAPP_P1235399154l_bool(hAPP_P416784693l_bool(Pa,Bx),By)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member1114719754on_val(produc434506131on_val(produc499151895on_val(A_1,B_1),produc499151895on_val(Aa,Ba)),R_1)) -> (hBOOL(member1114719754on_val(produc434506131on_val(produc499151895on_val(Aa,Ba),produc499151895on_val(Bx,By)),transi1953049786on_val(R_1))) -> (hBOOL(hAPP_P1235399154l_bool(hAPP_P416784693l_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_P1235399154l_bool(hAPP_P416784693l_bool(Pa,A_1),B_1)))))) -> hBOOL(hAPP_P1235399154l_bool(hAPP_P416784693l_bool(Pa,Ax),Ay)))))) # label(fact_538_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 620 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member384848502al_val(produc94135935al_val(produc1244920211al_val(Ax,Ay),produc1244920211al_val(Bx,By)),transi1927461808al_val(R_1))) -> (hBOOL(hAPP_P929938951l_bool(hAPP_P1815899455l_bool(Pa,Bx),By)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member384848502al_val(produc94135935al_val(produc1244920211al_val(A_1,B_1),produc1244920211al_val(Aa,Ba)),R_1)) -> (hBOOL(member384848502al_val(produc94135935al_val(produc1244920211al_val(Aa,Ba),produc1244920211al_val(Bx,By)),transi1927461808al_val(R_1))) -> (hBOOL(hAPP_P929938951l_bool(hAPP_P1815899455l_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_P929938951l_bool(hAPP_P1815899455l_bool(Pa,A_1),B_1)))))) -> hBOOL(hAPP_P929938951l_bool(hAPP_P1815899455l_bool(Pa,Ax),Ay)))))) # label(fact_539_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 621 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member23198458al_val(produc370870787al_val(produc1924279125al_val(Ax,Ay),produc1924279125al_val(Bx,By)),transi486718450al_val(R_1))) -> (hBOOL(hAPP_P943837928l_bool(hAPP_P323054207l_bool(Pa,Bx),By)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member23198458al_val(produc370870787al_val(produc1924279125al_val(A_1,B_1),produc1924279125al_val(Aa,Ba)),R_1)) -> (hBOOL(member23198458al_val(produc370870787al_val(produc1924279125al_val(Aa,Ba),produc1924279125al_val(Bx,By)),transi486718450al_val(R_1))) -> (hBOOL(hAPP_P943837928l_bool(hAPP_P323054207l_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_P943837928l_bool(hAPP_P323054207l_bool(Pa,A_1),B_1)))))) -> hBOOL(hAPP_P943837928l_bool(hAPP_P323054207l_bool(Pa,Ax),Ay)))))) # label(fact_540_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 622 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member1105423342t_char(produc627518711t_char(produc1299387215t_char(Ax,Ay),produc1299387215t_char(Bx,By)),transi1803333868t_char(R_1))) -> (hBOOL(hAPP_P2118621157r_bool(hAPP_P357098431r_bool(Pa,Bx),By)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member1105423342t_char(produc627518711t_char(produc1299387215t_char(A_1,B_1),produc1299387215t_char(Aa,Ba)),R_1)) -> (hBOOL(member1105423342t_char(produc627518711t_char(produc1299387215t_char(Aa,Ba),produc1299387215t_char(Bx,By)),transi1803333868t_char(R_1))) -> (hBOOL(hAPP_P2118621157r_bool(hAPP_P357098431r_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_P2118621157r_bool(hAPP_P357098431r_bool(Pa,A_1),B_1)))))) -> hBOOL(hAPP_P2118621157r_bool(hAPP_P357098431r_bool(Pa,Ax),Ay)))))) # label(fact_541_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 623 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member371591362t_char(produc913263563t_char(produc57279289t_char(Ax,Ay),produc57279289t_char(Bx,By)),transi1452021206t_char(R_1))) -> (hBOOL(hAPP_P1907982426r_bool(hAPP_P1214880255r_bool(Pa,Bx),By)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member371591362t_char(produc913263563t_char(produc57279289t_char(A_1,B_1),produc57279289t_char(Aa,Ba)),R_1)) -> (hBOOL(member371591362t_char(produc913263563t_char(produc57279289t_char(Aa,Ba),produc57279289t_char(Bx,By)),transi1452021206t_char(R_1))) -> (hBOOL(hAPP_P1907982426r_bool(hAPP_P1214880255r_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_P1907982426r_bool(hAPP_P1214880255r_bool(Pa,A_1),B_1)))))) -> hBOOL(hAPP_P1907982426r_bool(hAPP_P1214880255r_bool(Pa,Ax),Ay)))))) # label(fact_542_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 624 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member1934728458t_char(produc1288549779t_char(produc24551831t_char(Ax,Ay),produc24551831t_char(Bx,By)),transi2072254650t_char(R_1))) -> (hBOOL(hAPP_P92196306r_bool(hAPP_P1928969845r_bool(Pa,Bx),By)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member1934728458t_char(produc1288549779t_char(produc24551831t_char(A_1,B_1),produc24551831t_char(Aa,Ba)),R_1)) -> (hBOOL(member1934728458t_char(produc1288549779t_char(produc24551831t_char(Aa,Ba),produc24551831t_char(Bx,By)),transi2072254650t_char(R_1))) -> (hBOOL(hAPP_P92196306r_bool(hAPP_P1928969845r_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_P92196306r_bool(hAPP_P1928969845r_bool(Pa,A_1),B_1)))))) -> hBOOL(hAPP_P92196306r_bool(hAPP_P1928969845r_bool(Pa,Ax),Ay)))))) # label(fact_543_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 625 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member1837727190on_val(produc722767071on_val(produc1951691075on_val(Ax,Ay),produc1951691075on_val(Bx,By)),transi1751449568on_val(R_1))) -> (hBOOL(hAPP_P1333315679l_bool(hAPP_P220718911l_bool(Pa,Bx),By)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member1837727190on_val(produc722767071on_val(produc1951691075on_val(A_1,B_1),produc1951691075on_val(Aa,Ba)),R_1)) -> (hBOOL(member1837727190on_val(produc722767071on_val(produc1951691075on_val(Aa,Ba),produc1951691075on_val(Bx,By)),transi1751449568on_val(R_1))) -> (hBOOL(hAPP_P1333315679l_bool(hAPP_P220718911l_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_P1333315679l_bool(hAPP_P220718911l_bool(Pa,A_1),B_1)))))) -> hBOOL(hAPP_P1333315679l_bool(hAPP_P220718911l_bool(Pa,Ax),Ay)))))) # label(fact_544_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 626 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member2032527242on_val(produc935654419on_val(produc870913623on_val(Ax,Ay),produc870913623on_val(Bx,By)),transi594096122on_val(R_1))) -> (hBOOL(hAPP_P159683425l_bool(hAPP_P1988153107l_bool(Pa,Bx),By)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member2032527242on_val(produc935654419on_val(produc870913623on_val(A_1,B_1),produc870913623on_val(Aa,Ba)),R_1)) -> (hBOOL(member2032527242on_val(produc935654419on_val(produc870913623on_val(Aa,Ba),produc870913623on_val(Bx,By)),transi594096122on_val(R_1))) -> (hBOOL(hAPP_P159683425l_bool(hAPP_P1988153107l_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_P159683425l_bool(hAPP_P1988153107l_bool(Pa,A_1),B_1)))))) -> hBOOL(hAPP_P159683425l_bool(hAPP_P1988153107l_bool(Pa,Ax),Ay)))))) # label(fact_545_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 627 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member712690550on_val(produc1729053055on_val(produc1564932627on_val(Ax,Ay),produc1564932627on_val(Bx,By)),transi678815536on_val(R_1))) -> (hBOOL(hAPP_P282169671l_bool(hAPP_P2062527807l_bool(Pa,Bx),By)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member712690550on_val(produc1729053055on_val(produc1564932627on_val(A_1,B_1),produc1564932627on_val(Aa,Ba)),R_1)) -> (hBOOL(member712690550on_val(produc1729053055on_val(produc1564932627on_val(Aa,Ba),produc1564932627on_val(Bx,By)),transi678815536on_val(R_1))) -> (hBOOL(hAPP_P282169671l_bool(hAPP_P2062527807l_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_P282169671l_bool(hAPP_P2062527807l_bool(Pa,A_1),B_1)))))) -> hBOOL(hAPP_P282169671l_bool(hAPP_P2062527807l_bool(Pa,Ax),Ay)))))) # label(fact_546_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 628 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member808015754on_val(produc1564932627on_val(produc1441475159on_val(Ax,Ay),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(produc1564932627on_val(produc1441475159on_val(A_1,B_1),produc1441475159on_val(Aa,Ba)),R_1)) -> (hBOOL(member808015754on_val(produc1564932627on_val(produc1441475159on_val(Aa,Ba),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_547_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 629 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member563141460on_val(produc870913623on_val(produc899768717on_val(Ax,Ay),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(produc870913623on_val(produc899768717on_val(A_1,B_1),produc899768717on_val(Aa,Ba)),R_1)) -> (hBOOL(member563141460on_val(produc870913623on_val(produc899768717on_val(Aa,Ba),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_548_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 630 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member88670778on_val(produc1951691075on_val(produc1611380469on_val(Ax,Ay),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(produc1951691075on_val(produc1611380469on_val(A_1,B_1),produc1611380469on_val(Aa,Ba)),R_1)) -> (hBOOL(member88670778on_val(produc1951691075on_val(produc1611380469on_val(Aa,Ba),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_549_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 631 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member1420286996t_char(produc24551831t_char(produc921874948t_char(Ax,Ay),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(produc24551831t_char(produc921874948t_char(A_1,B_1),produc921874948t_char(Aa,Ba)),R_1)) -> (hBOOL(member1420286996t_char(produc24551831t_char(produc921874948t_char(Aa,Ba),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_550_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 632 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member125098544t_char(produc57279289t_char(produc1909267824t_char(Ax,Ay),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(produc57279289t_char(produc1909267824t_char(A_1,B_1),produc1909267824t_char(Aa,Ba)),R_1)) -> (hBOOL(member125098544t_char(produc57279289t_char(produc1909267824t_char(Aa,Ba),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_551_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 633 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member1161907014t_char(produc1299387215t_char(produc1916172923t_char(Ax,Ay),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(produc1299387215t_char(produc1916172923t_char(A_1,B_1),produc1916172923t_char(Aa,Ba)),R_1)) -> (hBOOL(member1161907014t_char(produc1299387215t_char(produc1916172923t_char(Aa,Ba),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_552_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 634 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member1732271180al_val(produc1924279125al_val(produc621191550al_val(Ax,Ay),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(produc1924279125al_val(produc621191550al_val(A_1,B_1),produc621191550al_val(Aa,Ba)),R_1)) -> (hBOOL(member1732271180al_val(produc1924279125al_val(produc621191550al_val(Aa,Ba),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_553_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 635 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member837208074al_val(produc1244920211al_val(product_Pair_val_val(Ax,Ay),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(produc1244920211al_val(product_Pair_val_val(A_1,B_1),product_Pair_val_val(Aa,Ba)),R_1)) -> (hBOOL(member837208074al_val(produc1244920211al_val(product_Pair_val_val(Aa,Ba),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_554_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 636 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member1322055188on_val(produc499151895on_val(produc823076510on_val(Ax,Ay),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(produc499151895on_val(produc823076510on_val(A_1,B_1),produc823076510on_val(Aa,Ba)),R_1)) -> (hBOOL(member1322055188on_val(produc499151895on_val(produc823076510on_val(Aa,Ba),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_555_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 637 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member794220506t_char(produc2080520419t_char(produc5062597t_char(Ax,Ay),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(produc2080520419t_char(produc5062597t_char(A_1,B_1),produc5062597t_char(Aa,Ba)),R_1)) -> (hBOOL(member794220506t_char(produc2080520419t_char(produc5062597t_char(Aa,Ba),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_556_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 638 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member1999287380t_char(produc1897818327t_char(produc1147572817t_char(Ax,Ay),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(produc1897818327t_char(produc1147572817t_char(A_1,B_1),produc1147572817t_char(Aa,Ba)),R_1)) -> (hBOOL(member1999287380t_char(produc1897818327t_char(produc1147572817t_char(Aa,Ba),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_557_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 639 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ax,Ay),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(produc1441475159on_val(produc1259058957on_val(A_1,B_1),produc1259058957on_val(Aa,Ba)),R_1)) -> (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Aa,Ba),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_558_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 640 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Ax,Ay),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(produc1611380469on_val(produc379668296on_val(A_1,B_1),produc379668296on_val(Aa,Ba)),R_1)) -> (hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Aa,Ba),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_559_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 641 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member1664419796har_ty(produc2038128087har_ty(produc1002914035har_ty(Xa_1,Xb_1),produc1002914035har_ty(Za,Zb)),transi1158914604har_ty(R_1))) -> (produc1002914035har_ty(Xa_1,Xb_1) != produc1002914035har_ty(Za,Zb) -> -(all A_1 all B_1 (hBOOL(member1664419796har_ty(produc2038128087har_ty(produc1002914035har_ty(Xa_1,Xb_1),produc1002914035har_ty(A_1,B_1)),R_1)) -> -hBOOL(member1664419796har_ty(produc2038128087har_ty(produc1002914035har_ty(A_1,B_1),produc1002914035har_ty(Za,Zb)),transi1158914604har_ty(R_1)))))))) # label(fact_560_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 642 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member1986596692har_ty(produc63273559har_ty(produc1265154397har_ty(Xa_1,Xb_1),produc1265154397har_ty(Za,Zb)),transi935089046har_ty(R_1))) -> (produc1265154397har_ty(Xa_1,Xb_1) != produc1265154397har_ty(Za,Zb) -> -(all A_1 all B_1 (hBOOL(member1986596692har_ty(produc63273559har_ty(produc1265154397har_ty(Xa_1,Xb_1),produc1265154397har_ty(A_1,B_1)),R_1)) -> -hBOOL(member1986596692har_ty(produc63273559har_ty(produc1265154397har_ty(A_1,B_1),produc1265154397har_ty(Za,Zb)),transi935089046har_ty(R_1)))))))) # label(fact_561_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 643 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member119266708har_ty(produc1414300567har_ty(produc251930284har_ty(Xa_1,Xb_1),produc251930284har_ty(Za,Zb)),transi1325206117har_ty(R_1))) -> (produc251930284har_ty(Xa_1,Xb_1) != produc251930284har_ty(Za,Zb) -> -(all A_1 all B_1 (hBOOL(member119266708har_ty(produc1414300567har_ty(produc251930284har_ty(Xa_1,Xb_1),produc251930284har_ty(A_1,B_1)),R_1)) -> -hBOOL(member119266708har_ty(produc1414300567har_ty(produc251930284har_ty(A_1,B_1),produc251930284har_ty(Za,Zb)),transi1325206117har_ty(R_1)))))))) # label(fact_562_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 644 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member902595210t_char(produc253822483t_char(produc1897818327t_char(Xa_1,Xb_1),produc1897818327t_char(Za,Zb)),transi1630776058t_char(R_1))) -> (produc1897818327t_char(Xa_1,Xb_1) != produc1897818327t_char(Za,Zb) -> -(all A_1 all B_1 (hBOOL(member902595210t_char(produc253822483t_char(produc1897818327t_char(Xa_1,Xb_1),produc1897818327t_char(A_1,B_1)),R_1)) -> -hBOOL(member902595210t_char(produc253822483t_char(produc1897818327t_char(A_1,B_1),produc1897818327t_char(Za,Zb)),transi1630776058t_char(R_1)))))))) # label(fact_563_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 645 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member1689070870t_char(produc354099231t_char(produc2080520419t_char(Xa_1,Xb_1),produc2080520419t_char(Za,Zb)),transi15035776t_char(R_1))) -> (produc2080520419t_char(Xa_1,Xb_1) != produc2080520419t_char(Za,Zb) -> -(all A_1 all B_1 (hBOOL(member1689070870t_char(produc354099231t_char(produc2080520419t_char(Xa_1,Xb_1),produc2080520419t_char(A_1,B_1)),R_1)) -> -hBOOL(member1689070870t_char(produc354099231t_char(produc2080520419t_char(A_1,B_1),produc2080520419t_char(Za,Zb)),transi15035776t_char(R_1)))))))) # label(fact_564_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 646 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member1114719754on_val(produc434506131on_val(produc499151895on_val(Xa_1,Xb_1),produc499151895on_val(Za,Zb)),transi1953049786on_val(R_1))) -> (produc499151895on_val(Xa_1,Xb_1) != produc499151895on_val(Za,Zb) -> -(all A_1 all B_1 (hBOOL(member1114719754on_val(produc434506131on_val(produc499151895on_val(Xa_1,Xb_1),produc499151895on_val(A_1,B_1)),R_1)) -> -hBOOL(member1114719754on_val(produc434506131on_val(produc499151895on_val(A_1,B_1),produc499151895on_val(Za,Zb)),transi1953049786on_val(R_1)))))))) # label(fact_565_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 647 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member384848502al_val(produc94135935al_val(produc1244920211al_val(Xa_1,Xb_1),produc1244920211al_val(Za,Zb)),transi1927461808al_val(R_1))) -> (produc1244920211al_val(Xa_1,Xb_1) != produc1244920211al_val(Za,Zb) -> -(all A_1 all B_1 (hBOOL(member384848502al_val(produc94135935al_val(produc1244920211al_val(Xa_1,Xb_1),produc1244920211al_val(A_1,B_1)),R_1)) -> -hBOOL(member384848502al_val(produc94135935al_val(produc1244920211al_val(A_1,B_1),produc1244920211al_val(Za,Zb)),transi1927461808al_val(R_1)))))))) # label(fact_566_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 648 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member23198458al_val(produc370870787al_val(produc1924279125al_val(Xa_1,Xb_1),produc1924279125al_val(Za,Zb)),transi486718450al_val(R_1))) -> (produc1924279125al_val(Xa_1,Xb_1) != produc1924279125al_val(Za,Zb) -> -(all A_1 all B_1 (hBOOL(member23198458al_val(produc370870787al_val(produc1924279125al_val(Xa_1,Xb_1),produc1924279125al_val(A_1,B_1)),R_1)) -> -hBOOL(member23198458al_val(produc370870787al_val(produc1924279125al_val(A_1,B_1),produc1924279125al_val(Za,Zb)),transi486718450al_val(R_1)))))))) # label(fact_567_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 649 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member1105423342t_char(produc627518711t_char(produc1299387215t_char(Xa_1,Xb_1),produc1299387215t_char(Za,Zb)),transi1803333868t_char(R_1))) -> (produc1299387215t_char(Xa_1,Xb_1) != produc1299387215t_char(Za,Zb) -> -(all A_1 all B_1 (hBOOL(member1105423342t_char(produc627518711t_char(produc1299387215t_char(Xa_1,Xb_1),produc1299387215t_char(A_1,B_1)),R_1)) -> -hBOOL(member1105423342t_char(produc627518711t_char(produc1299387215t_char(A_1,B_1),produc1299387215t_char(Za,Zb)),transi1803333868t_char(R_1)))))))) # label(fact_568_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 650 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member371591362t_char(produc913263563t_char(produc57279289t_char(Xa_1,Xb_1),produc57279289t_char(Za,Zb)),transi1452021206t_char(R_1))) -> (produc57279289t_char(Xa_1,Xb_1) != produc57279289t_char(Za,Zb) -> -(all A_1 all B_1 (hBOOL(member371591362t_char(produc913263563t_char(produc57279289t_char(Xa_1,Xb_1),produc57279289t_char(A_1,B_1)),R_1)) -> -hBOOL(member371591362t_char(produc913263563t_char(produc57279289t_char(A_1,B_1),produc57279289t_char(Za,Zb)),transi1452021206t_char(R_1)))))))) # label(fact_569_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 651 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member1934728458t_char(produc1288549779t_char(produc24551831t_char(Xa_1,Xb_1),produc24551831t_char(Za,Zb)),transi2072254650t_char(R_1))) -> (produc24551831t_char(Xa_1,Xb_1) != produc24551831t_char(Za,Zb) -> -(all A_1 all B_1 (hBOOL(member1934728458t_char(produc1288549779t_char(produc24551831t_char(Xa_1,Xb_1),produc24551831t_char(A_1,B_1)),R_1)) -> -hBOOL(member1934728458t_char(produc1288549779t_char(produc24551831t_char(A_1,B_1),produc24551831t_char(Za,Zb)),transi2072254650t_char(R_1)))))))) # label(fact_570_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 652 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member1837727190on_val(produc722767071on_val(produc1951691075on_val(Xa_1,Xb_1),produc1951691075on_val(Za,Zb)),transi1751449568on_val(R_1))) -> (produc1951691075on_val(Xa_1,Xb_1) != produc1951691075on_val(Za,Zb) -> -(all A_1 all B_1 (hBOOL(member1837727190on_val(produc722767071on_val(produc1951691075on_val(Xa_1,Xb_1),produc1951691075on_val(A_1,B_1)),R_1)) -> -hBOOL(member1837727190on_val(produc722767071on_val(produc1951691075on_val(A_1,B_1),produc1951691075on_val(Za,Zb)),transi1751449568on_val(R_1)))))))) # label(fact_571_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 653 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member2032527242on_val(produc935654419on_val(produc870913623on_val(Xa_1,Xb_1),produc870913623on_val(Za,Zb)),transi594096122on_val(R_1))) -> (produc870913623on_val(Xa_1,Xb_1) != produc870913623on_val(Za,Zb) -> -(all A_1 all B_1 (hBOOL(member2032527242on_val(produc935654419on_val(produc870913623on_val(Xa_1,Xb_1),produc870913623on_val(A_1,B_1)),R_1)) -> -hBOOL(member2032527242on_val(produc935654419on_val(produc870913623on_val(A_1,B_1),produc870913623on_val(Za,Zb)),transi594096122on_val(R_1)))))))) # label(fact_572_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 654 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member712690550on_val(produc1729053055on_val(produc1564932627on_val(Xa_1,Xb_1),produc1564932627on_val(Za,Zb)),transi678815536on_val(R_1))) -> (produc1564932627on_val(Xa_1,Xb_1) != produc1564932627on_val(Za,Zb) -> -(all A_1 all B_1 (hBOOL(member712690550on_val(produc1729053055on_val(produc1564932627on_val(Xa_1,Xb_1),produc1564932627on_val(A_1,B_1)),R_1)) -> -hBOOL(member712690550on_val(produc1729053055on_val(produc1564932627on_val(A_1,B_1),produc1564932627on_val(Za,Zb)),transi678815536on_val(R_1)))))))) # label(fact_573_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 655 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member808015754on_val(produc1564932627on_val(produc1441475159on_val(Xa_1,Xb_1),produc1441475159on_val(Za,Zb)),transi910771962on_val(R_1))) -> (produc1441475159on_val(Xa_1,Xb_1) != produc1441475159on_val(Za,Zb) -> -(all A_1 all B_1 (hBOOL(member808015754on_val(produc1564932627on_val(produc1441475159on_val(Xa_1,Xb_1),produc1441475159on_val(A_1,B_1)),R_1)) -> -hBOOL(member808015754on_val(produc1564932627on_val(produc1441475159on_val(A_1,B_1),produc1441475159on_val(Za,Zb)),transi910771962on_val(R_1)))))))) # label(fact_574_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 656 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member563141460on_val(produc870913623on_val(produc899768717on_val(Xa_1,Xb_1),produc899768717on_val(Za,Zb)),transi921647814on_val(R_1))) -> (produc899768717on_val(Xa_1,Xb_1) != produc899768717on_val(Za,Zb) -> -(all A_1 all B_1 (hBOOL(member563141460on_val(produc870913623on_val(produc899768717on_val(Xa_1,Xb_1),produc899768717on_val(A_1,B_1)),R_1)) -> -hBOOL(member563141460on_val(produc870913623on_val(produc899768717on_val(A_1,B_1),produc899768717on_val(Za,Zb)),transi921647814on_val(R_1)))))))) # label(fact_575_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 657 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member88670778on_val(produc1951691075on_val(produc1611380469on_val(Xa_1,Xb_1),produc1611380469on_val(Za,Zb)),transi208336786on_val(R_1))) -> (produc1611380469on_val(Xa_1,Xb_1) != produc1611380469on_val(Za,Zb) -> -(all A_1 all B_1 (hBOOL(member88670778on_val(produc1951691075on_val(produc1611380469on_val(Xa_1,Xb_1),produc1611380469on_val(A_1,B_1)),R_1)) -> -hBOOL(member88670778on_val(produc1951691075on_val(produc1611380469on_val(A_1,B_1),produc1611380469on_val(Za,Zb)),transi208336786on_val(R_1)))))))) # label(fact_576_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 658 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member1420286996t_char(produc24551831t_char(produc921874948t_char(Xa_1,Xb_1),produc921874948t_char(Za,Zb)),transi122195895t_char(R_1))) -> (produc921874948t_char(Xa_1,Xb_1) != produc921874948t_char(Za,Zb) -> -(all A_1 all B_1 (hBOOL(member1420286996t_char(produc24551831t_char(produc921874948t_char(Xa_1,Xb_1),produc921874948t_char(A_1,B_1)),R_1)) -> -hBOOL(member1420286996t_char(produc24551831t_char(produc921874948t_char(A_1,B_1),produc921874948t_char(Za,Zb)),transi122195895t_char(R_1)))))))) # label(fact_577_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 659 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member125098544t_char(produc57279289t_char(produc1909267824t_char(Xa_1,Xb_1),produc1909267824t_char(Za,Zb)),transi1257872013t_char(R_1))) -> (produc1909267824t_char(Xa_1,Xb_1) != produc1909267824t_char(Za,Zb) -> -(all A_1 all B_1 (hBOOL(member125098544t_char(produc57279289t_char(produc1909267824t_char(Xa_1,Xb_1),produc1909267824t_char(A_1,B_1)),R_1)) -> -hBOOL(member125098544t_char(produc57279289t_char(produc1909267824t_char(A_1,B_1),produc1909267824t_char(Za,Zb)),transi1257872013t_char(R_1)))))))) # label(fact_578_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 660 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member1161907014t_char(produc1299387215t_char(produc1916172923t_char(Xa_1,Xb_1),produc1916172923t_char(Za,Zb)),transi1789604888t_char(R_1))) -> (produc1916172923t_char(Xa_1,Xb_1) != produc1916172923t_char(Za,Zb) -> -(all A_1 all B_1 (hBOOL(member1161907014t_char(produc1299387215t_char(produc1916172923t_char(Xa_1,Xb_1),produc1916172923t_char(A_1,B_1)),R_1)) -> -hBOOL(member1161907014t_char(produc1299387215t_char(produc1916172923t_char(A_1,B_1),produc1916172923t_char(Za,Zb)),transi1789604888t_char(R_1)))))))) # label(fact_579_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 661 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member1732271180al_val(produc1924279125al_val(produc621191550al_val(Xa_1,Xb_1),produc621191550al_val(Za,Zb)),transi1906258203al_val(R_1))) -> (produc621191550al_val(Xa_1,Xb_1) != produc621191550al_val(Za,Zb) -> -(all A_1 all B_1 (is_bop(A_1) -> (hBOOL(member1732271180al_val(produc1924279125al_val(produc621191550al_val(Xa_1,Xb_1),produc621191550al_val(A_1,B_1)),R_1)) -> -hBOOL(member1732271180al_val(produc1924279125al_val(produc621191550al_val(A_1,B_1),produc621191550al_val(Za,Zb)),transi1906258203al_val(R_1))))))))) # label(fact_580_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 662 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member837208074al_val(produc1244920211al_val(product_Pair_val_val(Xa_1,Xb_1),product_Pair_val_val(Za,Zb)),transi1423755450al_val(R_1))) -> (product_Pair_val_val(Xa_1,Xb_1) != product_Pair_val_val(Za,Zb) -> -(all A_1 all B_1 (hBOOL(member837208074al_val(produc1244920211al_val(product_Pair_val_val(Xa_1,Xb_1),product_Pair_val_val(A_1,B_1)),R_1)) -> -hBOOL(member837208074al_val(produc1244920211al_val(product_Pair_val_val(A_1,B_1),product_Pair_val_val(Za,Zb)),transi1423755450al_val(R_1)))))))) # label(fact_581_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 663 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member1322055188on_val(produc499151895on_val(produc823076510on_val(Xa_1,Xb_1),produc823076510on_val(Za,Zb)),transi61620055on_val(R_1))) -> (produc823076510on_val(Xa_1,Xb_1) != produc823076510on_val(Za,Zb) -> -(all A_1 all B_1 (hBOOL(member1322055188on_val(produc499151895on_val(produc823076510on_val(Xa_1,Xb_1),produc823076510on_val(A_1,B_1)),R_1)) -> -hBOOL(member1322055188on_val(produc499151895on_val(produc823076510on_val(A_1,B_1),produc823076510on_val(Za,Zb)),transi61620055on_val(R_1)))))))) # label(fact_582_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 664 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member794220506t_char(produc2080520419t_char(produc5062597t_char(Xa_1,Xb_1),produc5062597t_char(Za,Zb)),transi1095029602t_char(R_1))) -> (produc5062597t_char(Xa_1,Xb_1) != produc5062597t_char(Za,Zb) -> -(all A_1 all B_1 (hBOOL(member794220506t_char(produc2080520419t_char(produc5062597t_char(Xa_1,Xb_1),produc5062597t_char(A_1,B_1)),R_1)) -> -hBOOL(member794220506t_char(produc2080520419t_char(produc5062597t_char(A_1,B_1),produc5062597t_char(Za,Zb)),transi1095029602t_char(R_1)))))))) # label(fact_583_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 665 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member1999287380t_char(produc1897818327t_char(produc1147572817t_char(Xa_1,Xb_1),produc1147572817t_char(Za,Zb)),transi198989188t_char(R_1))) -> (produc1147572817t_char(Xa_1,Xb_1) != produc1147572817t_char(Za,Zb) -> -(all A_1 all B_1 (hBOOL(member1999287380t_char(produc1897818327t_char(produc1147572817t_char(Xa_1,Xb_1),produc1147572817t_char(A_1,B_1)),R_1)) -> -hBOOL(member1999287380t_char(produc1897818327t_char(produc1147572817t_char(A_1,B_1),produc1147572817t_char(Za,Zb)),transi198989188t_char(R_1)))))))) # label(fact_584_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 666 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Xa_1,Xb_1),produc1259058957on_val(Za,Zb)),transi2024712006on_val(R_1))) -> (produc1259058957on_val(Xa_1,Xb_1) != produc1259058957on_val(Za,Zb) -> -(all A_1 all B_1 (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Xa_1,Xb_1),produc1259058957on_val(A_1,B_1)),R_1)) -> -hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(A_1,B_1),produc1259058957on_val(Za,Zb)),transi2024712006on_val(R_1)))))))) # label(fact_585_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 667 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Xa_1,Xb_1),produc379668296on_val(Za,Zb)),transi374442731on_val(R_1))) -> (produc379668296on_val(Xa_1,Xb_1) != produc379668296on_val(Za,Zb) -> -(all A_1 all B_1 (hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Xa_1,Xb_1),produc379668296on_val(A_1,B_1)),R_1)) -> -hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(A_1,B_1),produc379668296on_val(Za,Zb)),transi374442731on_val(R_1)))))))) # label(fact_586_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 668 (all Pa all A all B all R_1 (hBOOL(member1999287380t_char(produc1897818327t_char(A,B),transi198989188t_char(R_1))) -> (hBOOL(hAPP_P2014166431r_bool(Pa,A)) -> ((all Y_2 all Z (hBOOL(member1999287380t_char(produc1897818327t_char(A,Y_2),transi198989188t_char(R_1))) -> (hBOOL(member1999287380t_char(produc1897818327t_char(Y_2,Z),R_1)) -> (hBOOL(hAPP_P2014166431r_bool(Pa,Y_2)) -> hBOOL(hAPP_P2014166431r_bool(Pa,Z)))))) -> hBOOL(hAPP_P2014166431r_bool(Pa,B)))))) # label(fact_587_rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 669 (all Pa all A all B all R_1 (hBOOL(member794220506t_char(produc2080520419t_char(A,B),transi1095029602t_char(R_1))) -> (hBOOL(hAPP_P449474095r_bool(Pa,A)) -> ((all Y_2 all Z (hBOOL(member794220506t_char(produc2080520419t_char(A,Y_2),transi1095029602t_char(R_1))) -> (hBOOL(member794220506t_char(produc2080520419t_char(Y_2,Z),R_1)) -> (hBOOL(hAPP_P449474095r_bool(Pa,Y_2)) -> hBOOL(hAPP_P449474095r_bool(Pa,Z)))))) -> hBOOL(hAPP_P449474095r_bool(Pa,B)))))) # label(fact_588_rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 670 (all Pa all A all B all R_1 (hBOOL(member1322055188on_val(produc499151895on_val(A,B),transi61620055on_val(R_1))) -> (hBOOL(hAPP_P1235399154l_bool(Pa,A)) -> ((all Y_2 all Z (hBOOL(member1322055188on_val(produc499151895on_val(A,Y_2),transi61620055on_val(R_1))) -> (hBOOL(member1322055188on_val(produc499151895on_val(Y_2,Z),R_1)) -> (hBOOL(hAPP_P1235399154l_bool(Pa,Y_2)) -> hBOOL(hAPP_P1235399154l_bool(Pa,Z)))))) -> hBOOL(hAPP_P1235399154l_bool(Pa,B)))))) # label(fact_589_rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 671 (all Pa all A all B all R_1 (hBOOL(member837208074al_val(produc1244920211al_val(A,B),transi1423755450al_val(R_1))) -> (hBOOL(hAPP_P929938951l_bool(Pa,A)) -> ((all Y_2 all Z (hBOOL(member837208074al_val(produc1244920211al_val(A,Y_2),transi1423755450al_val(R_1))) -> (hBOOL(member837208074al_val(produc1244920211al_val(Y_2,Z),R_1)) -> (hBOOL(hAPP_P929938951l_bool(Pa,Y_2)) -> hBOOL(hAPP_P929938951l_bool(Pa,Z)))))) -> hBOOL(hAPP_P929938951l_bool(Pa,B)))))) # label(fact_590_rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 672 (all Pa all A all B all R_1 (hBOOL(member1732271180al_val(produc1924279125al_val(A,B),transi1906258203al_val(R_1))) -> (hBOOL(hAPP_P943837928l_bool(Pa,A)) -> ((all Y_2 all Z (hBOOL(member1732271180al_val(produc1924279125al_val(A,Y_2),transi1906258203al_val(R_1))) -> (hBOOL(member1732271180al_val(produc1924279125al_val(Y_2,Z),R_1)) -> (hBOOL(hAPP_P943837928l_bool(Pa,Y_2)) -> hBOOL(hAPP_P943837928l_bool(Pa,Z)))))) -> hBOOL(hAPP_P943837928l_bool(Pa,B)))))) # label(fact_591_rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 673 (all Pa all A all B all R_1 (hBOOL(member1161907014t_char(produc1299387215t_char(A,B),transi1789604888t_char(R_1))) -> (hBOOL(hAPP_P2118621157r_bool(Pa,A)) -> ((all Y_2 all Z (hBOOL(member1161907014t_char(produc1299387215t_char(A,Y_2),transi1789604888t_char(R_1))) -> (hBOOL(member1161907014t_char(produc1299387215t_char(Y_2,Z),R_1)) -> (hBOOL(hAPP_P2118621157r_bool(Pa,Y_2)) -> hBOOL(hAPP_P2118621157r_bool(Pa,Z)))))) -> hBOOL(hAPP_P2118621157r_bool(Pa,B)))))) # label(fact_592_rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 674 (all Pa all A all B all R_1 (hBOOL(member125098544t_char(produc57279289t_char(A,B),transi1257872013t_char(R_1))) -> (hBOOL(hAPP_P1907982426r_bool(Pa,A)) -> ((all Y_2 all Z (hBOOL(member125098544t_char(produc57279289t_char(A,Y_2),transi1257872013t_char(R_1))) -> (hBOOL(member125098544t_char(produc57279289t_char(Y_2,Z),R_1)) -> (hBOOL(hAPP_P1907982426r_bool(Pa,Y_2)) -> hBOOL(hAPP_P1907982426r_bool(Pa,Z)))))) -> hBOOL(hAPP_P1907982426r_bool(Pa,B)))))) # label(fact_593_rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 675 (all Pa all A all B all R_1 (hBOOL(member1420286996t_char(produc24551831t_char(A,B),transi122195895t_char(R_1))) -> (hBOOL(hAPP_P92196306r_bool(Pa,A)) -> ((all Y_2 all Z (hBOOL(member1420286996t_char(produc24551831t_char(A,Y_2),transi122195895t_char(R_1))) -> (hBOOL(member1420286996t_char(produc24551831t_char(Y_2,Z),R_1)) -> (hBOOL(hAPP_P92196306r_bool(Pa,Y_2)) -> hBOOL(hAPP_P92196306r_bool(Pa,Z)))))) -> hBOOL(hAPP_P92196306r_bool(Pa,B)))))) # label(fact_594_rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 676 (all Pa all A all B all R_1 (hBOOL(member88670778on_val(produc1951691075on_val(A,B),transi208336786on_val(R_1))) -> (hBOOL(hAPP_P1333315679l_bool(Pa,A)) -> ((all Y_2 all Z (hBOOL(member88670778on_val(produc1951691075on_val(A,Y_2),transi208336786on_val(R_1))) -> (hBOOL(member88670778on_val(produc1951691075on_val(Y_2,Z),R_1)) -> (hBOOL(hAPP_P1333315679l_bool(Pa,Y_2)) -> hBOOL(hAPP_P1333315679l_bool(Pa,Z)))))) -> hBOOL(hAPP_P1333315679l_bool(Pa,B)))))) # label(fact_595_rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 677 (all Pa all A all B all R_1 (hBOOL(member563141460on_val(produc870913623on_val(A,B),transi921647814on_val(R_1))) -> (hBOOL(hAPP_P159683425l_bool(Pa,A)) -> ((all Y_2 all Z (hBOOL(member563141460on_val(produc870913623on_val(A,Y_2),transi921647814on_val(R_1))) -> (hBOOL(member563141460on_val(produc870913623on_val(Y_2,Z),R_1)) -> (hBOOL(hAPP_P159683425l_bool(Pa,Y_2)) -> hBOOL(hAPP_P159683425l_bool(Pa,Z)))))) -> hBOOL(hAPP_P159683425l_bool(Pa,B)))))) # label(fact_596_rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 678 (all Pa all A all B all R_1 (hBOOL(member808015754on_val(produc1564932627on_val(A,B),transi910771962on_val(R_1))) -> (hBOOL(hAPP_P282169671l_bool(Pa,A)) -> ((all Y_2 all Z (hBOOL(member808015754on_val(produc1564932627on_val(A,Y_2),transi910771962on_val(R_1))) -> (hBOOL(member808015754on_val(produc1564932627on_val(Y_2,Z),R_1)) -> (hBOOL(hAPP_P282169671l_bool(Pa,Y_2)) -> hBOOL(hAPP_P282169671l_bool(Pa,Z)))))) -> hBOOL(hAPP_P282169671l_bool(Pa,B)))))) # label(fact_597_rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 679 (all Pa all A all B all R_1 (hBOOL(member649088532al_val(product_Pair_val_val(A,B),transi935034983cl_val(R_1))) -> (hBOOL(hAPP_val_bool(Pa,A)) -> ((all Y_2 all Z (hBOOL(member649088532al_val(product_Pair_val_val(A,Y_2),transi935034983cl_val(R_1))) -> (hBOOL(member649088532al_val(product_Pair_val_val(Y_2,Z),R_1)) -> (hBOOL(hAPP_val_bool(Pa,Y_2)) -> hBOOL(hAPP_val_bool(Pa,Z)))))) -> hBOOL(hAPP_val_bool(Pa,B)))))) # label(fact_598_rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 680 (all Pa all A all B all R_1 (hBOOL(member773094996on_val(produc1441475159on_val(A,B),transi2024712006on_val(R_1))) -> (hBOOL(hAPP_P1708370145l_bool(Pa,A)) -> ((all Y_2 all Z (hBOOL(member773094996on_val(produc1441475159on_val(A,Y_2),transi2024712006on_val(R_1))) -> (hBOOL(member773094996on_val(produc1441475159on_val(Y_2,Z),R_1)) -> (hBOOL(hAPP_P1708370145l_bool(Pa,Y_2)) -> hBOOL(hAPP_P1708370145l_bool(Pa,Z)))))) -> hBOOL(hAPP_P1708370145l_bool(Pa,B)))))) # label(fact_599_rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 681 (all Pa all A all B all R_1 (hBOOL(member875476972on_val(produc1611380469on_val(A,B),transi374442731on_val(R_1))) -> (hBOOL(hAPP_P71593144l_bool(Pa,A)) -> ((all Y_2 all Z (hBOOL(member875476972on_val(produc1611380469on_val(A,Y_2),transi374442731on_val(R_1))) -> (hBOOL(member875476972on_val(produc1611380469on_val(Y_2,Z),R_1)) -> (hBOOL(hAPP_P71593144l_bool(Pa,Y_2)) -> hBOOL(hAPP_P71593144l_bool(Pa,Z)))))) -> hBOOL(hAPP_P71593144l_bool(Pa,B)))))) # label(fact_600_rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 682 (all Pa all A all B all R_1 (hBOOL(member1251428284t_char(produc5062597t_char(A,B),transi1395422419t_char(R_1))) -> (hBOOL(hAPP_list_char_bool(Pa,A)) -> ((all Y_2 all Z (hBOOL(member1251428284t_char(produc5062597t_char(A,Y_2),transi1395422419t_char(R_1))) -> (hBOOL(member1251428284t_char(produc5062597t_char(Y_2,Z),R_1)) -> (hBOOL(hAPP_list_char_bool(Pa,Y_2)) -> hBOOL(hAPP_list_char_bool(Pa,Z)))))) -> hBOOL(hAPP_list_char_bool(Pa,B)))))) # label(fact_601_rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.47 683 (all Pa all A all B all R_1 (hBOOL(member1999287380t_char(produc1897818327t_char(A,B),transi198989188t_char(R_1))) -> (hBOOL(hAPP_P2014166431r_bool(Pa,B)) -> ((all Y_2 all Z (hBOOL(member1999287380t_char(produc1897818327t_char(Y_2,Z),R_1)) -> (hBOOL(member1999287380t_char(produc1897818327t_char(Z,B),transi198989188t_char(R_1))) -> (hBOOL(hAPP_P2014166431r_bool(Pa,Z)) -> hBOOL(hAPP_P2014166431r_bool(Pa,Y_2)))))) -> hBOOL(hAPP_P2014166431r_bool(Pa,A)))))) # label(fact_602_converse__rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 684 (all Pa all A all B all R_1 (hBOOL(member794220506t_char(produc2080520419t_char(A,B),transi1095029602t_char(R_1))) -> (hBOOL(hAPP_P449474095r_bool(Pa,B)) -> ((all Y_2 all Z (hBOOL(member794220506t_char(produc2080520419t_char(Y_2,Z),R_1)) -> (hBOOL(member794220506t_char(produc2080520419t_char(Z,B),transi1095029602t_char(R_1))) -> (hBOOL(hAPP_P449474095r_bool(Pa,Z)) -> hBOOL(hAPP_P449474095r_bool(Pa,Y_2)))))) -> hBOOL(hAPP_P449474095r_bool(Pa,A)))))) # label(fact_603_converse__rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 685 (all Pa all A all B all R_1 (hBOOL(member1322055188on_val(produc499151895on_val(A,B),transi61620055on_val(R_1))) -> (hBOOL(hAPP_P1235399154l_bool(Pa,B)) -> ((all Y_2 all Z (hBOOL(member1322055188on_val(produc499151895on_val(Y_2,Z),R_1)) -> (hBOOL(member1322055188on_val(produc499151895on_val(Z,B),transi61620055on_val(R_1))) -> (hBOOL(hAPP_P1235399154l_bool(Pa,Z)) -> hBOOL(hAPP_P1235399154l_bool(Pa,Y_2)))))) -> hBOOL(hAPP_P1235399154l_bool(Pa,A)))))) # label(fact_604_converse__rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 686 (all Pa all A all B all R_1 (hBOOL(member837208074al_val(produc1244920211al_val(A,B),transi1423755450al_val(R_1))) -> (hBOOL(hAPP_P929938951l_bool(Pa,B)) -> ((all Y_2 all Z (hBOOL(member837208074al_val(produc1244920211al_val(Y_2,Z),R_1)) -> (hBOOL(member837208074al_val(produc1244920211al_val(Z,B),transi1423755450al_val(R_1))) -> (hBOOL(hAPP_P929938951l_bool(Pa,Z)) -> hBOOL(hAPP_P929938951l_bool(Pa,Y_2)))))) -> hBOOL(hAPP_P929938951l_bool(Pa,A)))))) # label(fact_605_converse__rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 687 (all Pa all A all B all R_1 (hBOOL(member1732271180al_val(produc1924279125al_val(A,B),transi1906258203al_val(R_1))) -> (hBOOL(hAPP_P943837928l_bool(Pa,B)) -> ((all Y_2 all Z (hBOOL(member1732271180al_val(produc1924279125al_val(Y_2,Z),R_1)) -> (hBOOL(member1732271180al_val(produc1924279125al_val(Z,B),transi1906258203al_val(R_1))) -> (hBOOL(hAPP_P943837928l_bool(Pa,Z)) -> hBOOL(hAPP_P943837928l_bool(Pa,Y_2)))))) -> hBOOL(hAPP_P943837928l_bool(Pa,A)))))) # label(fact_606_converse__rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 688 (all Pa all A all B all R_1 (hBOOL(member1161907014t_char(produc1299387215t_char(A,B),transi1789604888t_char(R_1))) -> (hBOOL(hAPP_P2118621157r_bool(Pa,B)) -> ((all Y_2 all Z (hBOOL(member1161907014t_char(produc1299387215t_char(Y_2,Z),R_1)) -> (hBOOL(member1161907014t_char(produc1299387215t_char(Z,B),transi1789604888t_char(R_1))) -> (hBOOL(hAPP_P2118621157r_bool(Pa,Z)) -> hBOOL(hAPP_P2118621157r_bool(Pa,Y_2)))))) -> hBOOL(hAPP_P2118621157r_bool(Pa,A)))))) # label(fact_607_converse__rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 689 (all Pa all A all B all R_1 (hBOOL(member125098544t_char(produc57279289t_char(A,B),transi1257872013t_char(R_1))) -> (hBOOL(hAPP_P1907982426r_bool(Pa,B)) -> ((all Y_2 all Z (hBOOL(member125098544t_char(produc57279289t_char(Y_2,Z),R_1)) -> (hBOOL(member125098544t_char(produc57279289t_char(Z,B),transi1257872013t_char(R_1))) -> (hBOOL(hAPP_P1907982426r_bool(Pa,Z)) -> hBOOL(hAPP_P1907982426r_bool(Pa,Y_2)))))) -> hBOOL(hAPP_P1907982426r_bool(Pa,A)))))) # label(fact_608_converse__rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 690 (all Pa all A all B all R_1 (hBOOL(member1420286996t_char(produc24551831t_char(A,B),transi122195895t_char(R_1))) -> (hBOOL(hAPP_P92196306r_bool(Pa,B)) -> ((all Y_2 all Z (hBOOL(member1420286996t_char(produc24551831t_char(Y_2,Z),R_1)) -> (hBOOL(member1420286996t_char(produc24551831t_char(Z,B),transi122195895t_char(R_1))) -> (hBOOL(hAPP_P92196306r_bool(Pa,Z)) -> hBOOL(hAPP_P92196306r_bool(Pa,Y_2)))))) -> hBOOL(hAPP_P92196306r_bool(Pa,A)))))) # label(fact_609_converse__rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 691 (all Pa all A all B all R_1 (hBOOL(member88670778on_val(produc1951691075on_val(A,B),transi208336786on_val(R_1))) -> (hBOOL(hAPP_P1333315679l_bool(Pa,B)) -> ((all Y_2 all Z (hBOOL(member88670778on_val(produc1951691075on_val(Y_2,Z),R_1)) -> (hBOOL(member88670778on_val(produc1951691075on_val(Z,B),transi208336786on_val(R_1))) -> (hBOOL(hAPP_P1333315679l_bool(Pa,Z)) -> hBOOL(hAPP_P1333315679l_bool(Pa,Y_2)))))) -> hBOOL(hAPP_P1333315679l_bool(Pa,A)))))) # label(fact_610_converse__rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 692 (all Pa all A all B all R_1 (hBOOL(member563141460on_val(produc870913623on_val(A,B),transi921647814on_val(R_1))) -> (hBOOL(hAPP_P159683425l_bool(Pa,B)) -> ((all Y_2 all Z (hBOOL(member563141460on_val(produc870913623on_val(Y_2,Z),R_1)) -> (hBOOL(member563141460on_val(produc870913623on_val(Z,B),transi921647814on_val(R_1))) -> (hBOOL(hAPP_P159683425l_bool(Pa,Z)) -> hBOOL(hAPP_P159683425l_bool(Pa,Y_2)))))) -> hBOOL(hAPP_P159683425l_bool(Pa,A)))))) # label(fact_611_converse__rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 693 (all Pa all A all B all R_1 (hBOOL(member808015754on_val(produc1564932627on_val(A,B),transi910771962on_val(R_1))) -> (hBOOL(hAPP_P282169671l_bool(Pa,B)) -> ((all Y_2 all Z (hBOOL(member808015754on_val(produc1564932627on_val(Y_2,Z),R_1)) -> (hBOOL(member808015754on_val(produc1564932627on_val(Z,B),transi910771962on_val(R_1))) -> (hBOOL(hAPP_P282169671l_bool(Pa,Z)) -> hBOOL(hAPP_P282169671l_bool(Pa,Y_2)))))) -> hBOOL(hAPP_P282169671l_bool(Pa,A)))))) # label(fact_612_converse__rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 694 (all Pa all A all B all R_1 (hBOOL(member649088532al_val(product_Pair_val_val(A,B),transi935034983cl_val(R_1))) -> (hBOOL(hAPP_val_bool(Pa,B)) -> ((all Y_2 all Z (hBOOL(member649088532al_val(product_Pair_val_val(Y_2,Z),R_1)) -> (hBOOL(member649088532al_val(product_Pair_val_val(Z,B),transi935034983cl_val(R_1))) -> (hBOOL(hAPP_val_bool(Pa,Z)) -> hBOOL(hAPP_val_bool(Pa,Y_2)))))) -> hBOOL(hAPP_val_bool(Pa,A)))))) # label(fact_613_converse__rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 695 (all Pa all A all B all R_1 (hBOOL(member773094996on_val(produc1441475159on_val(A,B),transi2024712006on_val(R_1))) -> (hBOOL(hAPP_P1708370145l_bool(Pa,B)) -> ((all Y_2 all Z (hBOOL(member773094996on_val(produc1441475159on_val(Y_2,Z),R_1)) -> (hBOOL(member773094996on_val(produc1441475159on_val(Z,B),transi2024712006on_val(R_1))) -> (hBOOL(hAPP_P1708370145l_bool(Pa,Z)) -> hBOOL(hAPP_P1708370145l_bool(Pa,Y_2)))))) -> hBOOL(hAPP_P1708370145l_bool(Pa,A)))))) # label(fact_614_converse__rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 696 (all Pa all A all B all R_1 (hBOOL(member875476972on_val(produc1611380469on_val(A,B),transi374442731on_val(R_1))) -> (hBOOL(hAPP_P71593144l_bool(Pa,B)) -> ((all Y_2 all Z (hBOOL(member875476972on_val(produc1611380469on_val(Y_2,Z),R_1)) -> (hBOOL(member875476972on_val(produc1611380469on_val(Z,B),transi374442731on_val(R_1))) -> (hBOOL(hAPP_P71593144l_bool(Pa,Z)) -> hBOOL(hAPP_P71593144l_bool(Pa,Y_2)))))) -> hBOOL(hAPP_P71593144l_bool(Pa,A)))))) # label(fact_615_converse__rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 697 (all Pa all A all B all R_1 (hBOOL(member1251428284t_char(produc5062597t_char(A,B),transi1395422419t_char(R_1))) -> (hBOOL(hAPP_list_char_bool(Pa,B)) -> ((all Y_2 all Z (hBOOL(member1251428284t_char(produc5062597t_char(Y_2,Z),R_1)) -> (hBOOL(member1251428284t_char(produc5062597t_char(Z,B),transi1395422419t_char(R_1))) -> (hBOOL(hAPP_list_char_bool(Pa,Z)) -> hBOOL(hAPP_list_char_bool(Pa,Y_2)))))) -> hBOOL(hAPP_list_char_bool(Pa,A)))))) # label(fact_616_converse__rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 698 (all X_2 all Z_1 all R_1 (hBOOL(member1999287380t_char(produc1897818327t_char(X_2,Z_1),transi198989188t_char(R_1))) -> (X_2 != Z_1 -> -(all Y_2 (hBOOL(member1999287380t_char(produc1897818327t_char(X_2,Y_2),R_1)) -> -hBOOL(member1999287380t_char(produc1897818327t_char(Y_2,Z_1),transi198989188t_char(R_1)))))))) # label(fact_617_converse__rtranclE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 699 (all X_2 all Z_1 all R_1 (hBOOL(member794220506t_char(produc2080520419t_char(X_2,Z_1),transi1095029602t_char(R_1))) -> (X_2 != Z_1 -> -(all Y_2 (hBOOL(member794220506t_char(produc2080520419t_char(X_2,Y_2),R_1)) -> -hBOOL(member794220506t_char(produc2080520419t_char(Y_2,Z_1),transi1095029602t_char(R_1)))))))) # label(fact_618_converse__rtranclE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 700 (all X_2 all Z_1 all R_1 (hBOOL(member1322055188on_val(produc499151895on_val(X_2,Z_1),transi61620055on_val(R_1))) -> (X_2 != Z_1 -> -(all Y_2 (hBOOL(member1322055188on_val(produc499151895on_val(X_2,Y_2),R_1)) -> -hBOOL(member1322055188on_val(produc499151895on_val(Y_2,Z_1),transi61620055on_val(R_1)))))))) # label(fact_619_converse__rtranclE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 701 (all X_2 all Z_1 all R_1 (hBOOL(member837208074al_val(produc1244920211al_val(X_2,Z_1),transi1423755450al_val(R_1))) -> (X_2 != Z_1 -> -(all Y_2 (hBOOL(member837208074al_val(produc1244920211al_val(X_2,Y_2),R_1)) -> -hBOOL(member837208074al_val(produc1244920211al_val(Y_2,Z_1),transi1423755450al_val(R_1)))))))) # label(fact_620_converse__rtranclE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 702 (all X_2 all Z_1 all R_1 (hBOOL(member1732271180al_val(produc1924279125al_val(X_2,Z_1),transi1906258203al_val(R_1))) -> (X_2 != Z_1 -> -(all Y_2 (hBOOL(member1732271180al_val(produc1924279125al_val(X_2,Y_2),R_1)) -> -hBOOL(member1732271180al_val(produc1924279125al_val(Y_2,Z_1),transi1906258203al_val(R_1)))))))) # label(fact_621_converse__rtranclE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 703 (all X_2 all Z_1 all R_1 (hBOOL(member1161907014t_char(produc1299387215t_char(X_2,Z_1),transi1789604888t_char(R_1))) -> (X_2 != Z_1 -> -(all Y_2 (hBOOL(member1161907014t_char(produc1299387215t_char(X_2,Y_2),R_1)) -> -hBOOL(member1161907014t_char(produc1299387215t_char(Y_2,Z_1),transi1789604888t_char(R_1)))))))) # label(fact_622_converse__rtranclE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 704 (all X_2 all Z_1 all R_1 (hBOOL(member125098544t_char(produc57279289t_char(X_2,Z_1),transi1257872013t_char(R_1))) -> (X_2 != Z_1 -> -(all Y_2 (hBOOL(member125098544t_char(produc57279289t_char(X_2,Y_2),R_1)) -> -hBOOL(member125098544t_char(produc57279289t_char(Y_2,Z_1),transi1257872013t_char(R_1)))))))) # label(fact_623_converse__rtranclE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 705 (all X_2 all Z_1 all R_1 (hBOOL(member1420286996t_char(produc24551831t_char(X_2,Z_1),transi122195895t_char(R_1))) -> (X_2 != Z_1 -> -(all Y_2 (hBOOL(member1420286996t_char(produc24551831t_char(X_2,Y_2),R_1)) -> -hBOOL(member1420286996t_char(produc24551831t_char(Y_2,Z_1),transi122195895t_char(R_1)))))))) # label(fact_624_converse__rtranclE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 706 (all X_2 all Z_1 all R_1 (hBOOL(member88670778on_val(produc1951691075on_val(X_2,Z_1),transi208336786on_val(R_1))) -> (X_2 != Z_1 -> -(all Y_2 (hBOOL(member88670778on_val(produc1951691075on_val(X_2,Y_2),R_1)) -> -hBOOL(member88670778on_val(produc1951691075on_val(Y_2,Z_1),transi208336786on_val(R_1)))))))) # label(fact_625_converse__rtranclE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 707 (all X_2 all Z_1 all R_1 (hBOOL(member563141460on_val(produc870913623on_val(X_2,Z_1),transi921647814on_val(R_1))) -> (X_2 != Z_1 -> -(all Y_2 (hBOOL(member563141460on_val(produc870913623on_val(X_2,Y_2),R_1)) -> -hBOOL(member563141460on_val(produc870913623on_val(Y_2,Z_1),transi921647814on_val(R_1)))))))) # label(fact_626_converse__rtranclE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 708 (all X_2 all Z_1 all R_1 (hBOOL(member808015754on_val(produc1564932627on_val(X_2,Z_1),transi910771962on_val(R_1))) -> (X_2 != Z_1 -> -(all Y_2 (hBOOL(member808015754on_val(produc1564932627on_val(X_2,Y_2),R_1)) -> -hBOOL(member808015754on_val(produc1564932627on_val(Y_2,Z_1),transi910771962on_val(R_1)))))))) # label(fact_627_converse__rtranclE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 709 (all X_2 all Z_1 all R_1 (hBOOL(member649088532al_val(product_Pair_val_val(X_2,Z_1),transi935034983cl_val(R_1))) -> (X_2 != Z_1 -> -(all Y_2 (hBOOL(member649088532al_val(product_Pair_val_val(X_2,Y_2),R_1)) -> -hBOOL(member649088532al_val(product_Pair_val_val(Y_2,Z_1),transi935034983cl_val(R_1)))))))) # label(fact_628_converse__rtranclE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 710 (all X_2 all Z_1 all R_1 (hBOOL(member773094996on_val(produc1441475159on_val(X_2,Z_1),transi2024712006on_val(R_1))) -> (X_2 != Z_1 -> -(all Y_2 (hBOOL(member773094996on_val(produc1441475159on_val(X_2,Y_2),R_1)) -> -hBOOL(member773094996on_val(produc1441475159on_val(Y_2,Z_1),transi2024712006on_val(R_1)))))))) # label(fact_629_converse__rtranclE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 711 (all X_2 all Z_1 all R_1 (hBOOL(member875476972on_val(produc1611380469on_val(X_2,Z_1),transi374442731on_val(R_1))) -> (X_2 != Z_1 -> -(all Y_2 (hBOOL(member875476972on_val(produc1611380469on_val(X_2,Y_2),R_1)) -> -hBOOL(member875476972on_val(produc1611380469on_val(Y_2,Z_1),transi374442731on_val(R_1)))))))) # label(fact_630_converse__rtranclE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 712 (all X_2 all Z_1 all R_1 (hBOOL(member1251428284t_char(produc5062597t_char(X_2,Z_1),transi1395422419t_char(R_1))) -> (X_2 != Z_1 -> -(all Y_2 (hBOOL(member1251428284t_char(produc5062597t_char(X_2,Y_2),R_1)) -> -hBOOL(member1251428284t_char(produc5062597t_char(Y_2,Z_1),transi1395422419t_char(R_1)))))))) # label(fact_631_converse__rtranclE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 713 (all A all B all R_1 (hBOOL(member1999287380t_char(produc1897818327t_char(A,B),transi198989188t_char(R_1))) -> (A != B -> -(all Y_2 (hBOOL(member1999287380t_char(produc1897818327t_char(A,Y_2),transi198989188t_char(R_1))) -> -hBOOL(member1999287380t_char(produc1897818327t_char(Y_2,B),R_1))))))) # label(fact_632_rtranclE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 714 (all A all B all R_1 (hBOOL(member794220506t_char(produc2080520419t_char(A,B),transi1095029602t_char(R_1))) -> (A != B -> -(all Y_2 (hBOOL(member794220506t_char(produc2080520419t_char(A,Y_2),transi1095029602t_char(R_1))) -> -hBOOL(member794220506t_char(produc2080520419t_char(Y_2,B),R_1))))))) # label(fact_633_rtranclE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 715 (all A all B all R_1 (hBOOL(member1322055188on_val(produc499151895on_val(A,B),transi61620055on_val(R_1))) -> (A != B -> -(all Y_2 (hBOOL(member1322055188on_val(produc499151895on_val(A,Y_2),transi61620055on_val(R_1))) -> -hBOOL(member1322055188on_val(produc499151895on_val(Y_2,B),R_1))))))) # label(fact_634_rtranclE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 716 (all A all B all R_1 (hBOOL(member837208074al_val(produc1244920211al_val(A,B),transi1423755450al_val(R_1))) -> (A != B -> -(all Y_2 (hBOOL(member837208074al_val(produc1244920211al_val(A,Y_2),transi1423755450al_val(R_1))) -> -hBOOL(member837208074al_val(produc1244920211al_val(Y_2,B),R_1))))))) # label(fact_635_rtranclE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 717 (all A all B all R_1 (hBOOL(member1732271180al_val(produc1924279125al_val(A,B),transi1906258203al_val(R_1))) -> (A != B -> -(all Y_2 (hBOOL(member1732271180al_val(produc1924279125al_val(A,Y_2),transi1906258203al_val(R_1))) -> -hBOOL(member1732271180al_val(produc1924279125al_val(Y_2,B),R_1))))))) # label(fact_636_rtranclE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 718 (all A all B all R_1 (hBOOL(member1161907014t_char(produc1299387215t_char(A,B),transi1789604888t_char(R_1))) -> (A != B -> -(all Y_2 (hBOOL(member1161907014t_char(produc1299387215t_char(A,Y_2),transi1789604888t_char(R_1))) -> -hBOOL(member1161907014t_char(produc1299387215t_char(Y_2,B),R_1))))))) # label(fact_637_rtranclE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 719 (all A all B all R_1 (hBOOL(member125098544t_char(produc57279289t_char(A,B),transi1257872013t_char(R_1))) -> (A != B -> -(all Y_2 (hBOOL(member125098544t_char(produc57279289t_char(A,Y_2),transi1257872013t_char(R_1))) -> -hBOOL(member125098544t_char(produc57279289t_char(Y_2,B),R_1))))))) # label(fact_638_rtranclE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 720 (all A all B all R_1 (hBOOL(member1420286996t_char(produc24551831t_char(A,B),transi122195895t_char(R_1))) -> (A != B -> -(all Y_2 (hBOOL(member1420286996t_char(produc24551831t_char(A,Y_2),transi122195895t_char(R_1))) -> -hBOOL(member1420286996t_char(produc24551831t_char(Y_2,B),R_1))))))) # label(fact_639_rtranclE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 721 (all A all B all R_1 (hBOOL(member88670778on_val(produc1951691075on_val(A,B),transi208336786on_val(R_1))) -> (A != B -> -(all Y_2 (hBOOL(member88670778on_val(produc1951691075on_val(A,Y_2),transi208336786on_val(R_1))) -> -hBOOL(member88670778on_val(produc1951691075on_val(Y_2,B),R_1))))))) # label(fact_640_rtranclE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 722 (all A all B all R_1 (hBOOL(member563141460on_val(produc870913623on_val(A,B),transi921647814on_val(R_1))) -> (A != B -> -(all Y_2 (hBOOL(member563141460on_val(produc870913623on_val(A,Y_2),transi921647814on_val(R_1))) -> -hBOOL(member563141460on_val(produc870913623on_val(Y_2,B),R_1))))))) # label(fact_641_rtranclE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 723 (all A all B all R_1 (hBOOL(member808015754on_val(produc1564932627on_val(A,B),transi910771962on_val(R_1))) -> (A != B -> -(all Y_2 (hBOOL(member808015754on_val(produc1564932627on_val(A,Y_2),transi910771962on_val(R_1))) -> -hBOOL(member808015754on_val(produc1564932627on_val(Y_2,B),R_1))))))) # label(fact_642_rtranclE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 724 (all A all B all R_1 (hBOOL(member649088532al_val(product_Pair_val_val(A,B),transi935034983cl_val(R_1))) -> (A != B -> -(all Y_2 (hBOOL(member649088532al_val(product_Pair_val_val(A,Y_2),transi935034983cl_val(R_1))) -> -hBOOL(member649088532al_val(product_Pair_val_val(Y_2,B),R_1))))))) # label(fact_643_rtranclE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 725 (all A all B all R_1 (hBOOL(member773094996on_val(produc1441475159on_val(A,B),transi2024712006on_val(R_1))) -> (A != B -> -(all Y_2 (hBOOL(member773094996on_val(produc1441475159on_val(A,Y_2),transi2024712006on_val(R_1))) -> -hBOOL(member773094996on_val(produc1441475159on_val(Y_2,B),R_1))))))) # label(fact_644_rtranclE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 726 (all A all B all R_1 (hBOOL(member875476972on_val(produc1611380469on_val(A,B),transi374442731on_val(R_1))) -> (A != B -> -(all Y_2 (hBOOL(member875476972on_val(produc1611380469on_val(A,Y_2),transi374442731on_val(R_1))) -> -hBOOL(member875476972on_val(produc1611380469on_val(Y_2,B),R_1))))))) # label(fact_645_rtranclE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 727 (all A all B all R_1 (hBOOL(member1251428284t_char(produc5062597t_char(A,B),transi1395422419t_char(R_1))) -> (A != B -> -(all Y_2 (hBOOL(member1251428284t_char(produc5062597t_char(A,Y_2),transi1395422419t_char(R_1))) -> -hBOOL(member1251428284t_char(produc5062597t_char(Y_2,B),R_1))))))) # label(fact_646_rtranclE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 728 (all E_2 all E_1_1 all E_a all S_2_1 all Ea all S_0 all S_1_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_0),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,bool(fTrue)),S_1_1)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_1_1,S_1_1),produc1259058957on_val(E_a,S_2_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cond_list_char(Ea,E_1_1,E_2),S_0),produc1259058957on_val(E_a,S_2_1)),transi2024712006on_val(red(Pa))))))) # label(fact_647_CondReds2T) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 729 (all E_1_1 all E_2 all E_a all S_2_1 all Ea all S_0 all S_1_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_0),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,bool(fFalse)),S_1_1)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_2,S_1_1),produc1259058957on_val(E_a,S_2_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cond_list_char(Ea,E_1_1,E_2),S_0),produc1259058957on_val(E_a,S_2_1)),transi2024712006on_val(red(Pa))))))) # label(fact_648_CondReds2F) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 730 (all C all Ea all S_1 all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,null),S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cast_list_char(C,Ea),S_1),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,null),S)),transi2024712006on_val(red(Pa)))))) # label(fact_649_CastRedsNull) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 731 (all C all S_1 all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cast_list_char(C,hAPP_v834067052t_char(val_list_char,null)),S_1),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,null),S_1)),red(Pa)))) # label(fact_650_red__reds_ORedCastNull) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 732 (all E_1_1 all E_2 all S_1 all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cond_list_char(hAPP_v834067052t_char(val_list_char,bool(fFalse)),E_1_1,E_2),S_1),produc1259058957on_val(E_2,S_1)),red(Pa)))) # label(fact_651_red__reds_ORedCondF) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 733 (all E_1_1 all E_2 all S_1 all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cond_list_char(hAPP_v834067052t_char(val_list_char,bool(fTrue)),E_1_1,E_2),S_1),produc1259058957on_val(E_1_1,S_1)),red(Pa)))) # label(fact_652_red__reds_ORedCondT) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 734 (all Bool_1 null != bool(Bool_1)) # label(fact_653_val_Osimps_I12_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 735 (all Bool_1 bool(Bool_1) != null) # label(fact_654_val_Osimps_I13_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 736 (all Ea all S_3 all C_1 all V_1_1 all S_2_1 all B all S_0 all S_1_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(B,S_0),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,bool(fTrue)),S_1_1)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(C_1,S_1_1),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1_1),S_2_1)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(while_list_char(B,C_1),S_2_1),produc1259058957on_val(Ea,S_3)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(while_list_char(B,C_1),S_0),produc1259058957on_val(Ea,S_3)),transi2024712006on_val(red(Pa)))))))) # label(fact_655_WhileTReds) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 737 (all Bop all E_2 all Ea all S_2_1 all E_1_1 all S_0 all V_1_1 all S_1_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_1_1,S_0),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1_1),S_1_1)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_2,S_1_1),produc1259058957on_val(throw_list_char(Ea),S_2_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(binOp_list_char(E_1_1,Bop,E_2),S_0),produc1259058957on_val(throw_list_char(Ea),S_2_1)),transi2024712006on_val(red(Pa))))))) # label(fact_656_BinOpRedsThrow2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 738 (all F all D all Ea all S_1 all A all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(throw_list_char(A),S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAcc_list_char(Ea,F,D),S_1),produc1259058957on_val(throw_list_char(A),S)),transi2024712006on_val(red(Pa)))))) # label(fact_657_FAccRedsThrow) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 739 (all E_1_1 all E_2 all Ea all S_1 all A all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(throw_list_char(A),S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cond_list_char(Ea,E_1_1,E_2),S_1),produc1259058957on_val(throw_list_char(A),S)),transi2024712006on_val(red(Pa)))))) # label(fact_658_CondRedsThrow) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 740 (all C all Ea all S_1 all A all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(throw_list_char(A),S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cast_list_char(C,Ea),S_1),produc1259058957on_val(throw_list_char(A),S)),transi2024712006on_val(red(Pa)))))) # label(fact_659_CastRedsThrow) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 741 (all Bop all E_2 all Ea all S_1 all E_a all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(throw_list_char(E_a),S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(binOp_list_char(Ea,Bop,E_2),S_1),produc1259058957on_val(throw_list_char(E_a),S)),transi2024712006on_val(red(Pa)))))) # label(fact_660_BinOpRedsThrow1) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 742 (all M all Esa all Ea all S0 all A all S_1_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S0),produc1259058957on_val(throw_list_char(A),S_1_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(call_list_char(Ea,M,Esa),S0),produc1259058957on_val(throw_list_char(A),S_1_1)),transi2024712006on_val(red(Pa)))))) # label(fact_661_CallRedsThrowObj) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 743 (all Exp_109 all Exp1_109 all Exp2_109 throw_list_char(Exp_109) != while_list_char(Exp1_109,Exp2_109)) # label(fact_662_exp_Osimps_I221_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 744 (all Exp1_108 all Exp2_108 all Exp_108 while_list_char(Exp1_108,Exp2_108) != throw_list_char(Exp_108)) # label(fact_663_exp_Osimps_I220_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 745 (all Exp_35 all Exp_34 (throw_list_char(Exp_35) = throw_list_char(Exp_34) <-> Exp_35 = Exp_34)) # label(fact_664_exp_Osimps_I14_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 746 (all Exp1_81 all Exp2_81 all Exp1_80 all Exp2_80 (while_list_char(Exp1_81,Exp2_81) = while_list_char(Exp1_80,Exp2_80) <-> Exp1_81 = Exp1_80 & Exp2_81 = Exp2_80)) # label(fact_665_exp_Osimps_I13_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 747 (all Exp_107 all Val_11 throw_list_char(Exp_107) != hAPP_v834067052t_char(val_list_char,Val_11)) # label(fact_666_exp_Osimps_I91_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 748 (all Val_10 all Exp_106 hAPP_v834067052t_char(val_list_char,Val_10) != throw_list_char(Exp_106)) # label(fact_667_exp_Osimps_I90_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 749 (all Exp1_107 all Exp2_107 all Val_9 while_list_char(Exp1_107,Exp2_107) != hAPP_v834067052t_char(val_list_char,Val_9)) # label(fact_668_exp_Osimps_I89_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 750 (all Val_8 all Exp1_106 all Exp2_106 hAPP_v834067052t_char(val_list_char,Val_8) != while_list_char(Exp1_106,Exp2_106)) # label(fact_669_exp_Osimps_I88_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 751 (all Exp_105 all List1_49 all List2_49 all Exp_104 call_list_char(Exp_105,List1_49,List2_49) != throw_list_char(Exp_104)) # label(fact_670_exp_Osimps_I192_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 752 (all Exp_103 all Exp_102 all List1_48 all List2_48 throw_list_char(Exp_103) != call_list_char(Exp_102,List1_48,List2_48)) # label(fact_671_exp_Osimps_I193_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 753 (all Exp1_105 all Bop_12 all Exp2_105 all Exp_101 binOp_list_char(Exp1_105,Bop_12,Exp2_105) != throw_list_char(Exp_101)) # label(fact_672_exp_Osimps_I112_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 754 (all Exp_100 all Exp1_104 all Bop_11 all Exp2_104 throw_list_char(Exp_100) != binOp_list_char(Exp1_104,Bop_11,Exp2_104)) # label(fact_673_exp_Osimps_I113_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 755 (all Exp1_103 all Exp2_103 all Exp3_11 all Exp_99 cond_list_char(Exp1_103,Exp2_103,Exp3_11) != throw_list_char(Exp_99)) # label(fact_674_exp_Osimps_I216_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 756 (all List_27 all Exp_98 all Exp_97 cast_list_char(List_27,Exp_98) != throw_list_char(Exp_97)) # label(fact_675_exp_Osimps_I66_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 757 (all Exp_96 all Exp1_102 all Exp2_102 all Exp3_10 throw_list_char(Exp_96) != cond_list_char(Exp1_102,Exp2_102,Exp3_10)) # label(fact_676_exp_Osimps_I217_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 758 (all Exp_95 all List_26 all Exp_94 throw_list_char(Exp_95) != cast_list_char(List_26,Exp_94)) # label(fact_677_exp_Osimps_I67_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 759 (all Exp_93 all List1_47 all List2_47 all Exp_92 fAcc_list_char(Exp_93,List1_47,List2_47) != throw_list_char(Exp_92)) # label(fact_678_exp_Osimps_I166_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 760 (all Exp_91 all Exp_90 all List1_46 all List2_46 throw_list_char(Exp_91) != fAcc_list_char(Exp_90,List1_46,List2_46)) # label(fact_679_exp_Osimps_I167_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 761 (all Exp1_101 all List_25 all A_63 all Exp2_101 all Exp_89 tryCatch_list_char(Exp1_101,List_25,A_63,Exp2_101) != throw_list_char(Exp_89)) # label(fact_680_exp_Osimps_I225_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 762 (all Exp_88 all Exp1_100 all List_24 all A_62 all Exp2_100 throw_list_char(Exp_88) != tryCatch_list_char(Exp1_100,List_24,A_62,Exp2_100)) # label(fact_681_exp_Osimps_I224_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 763 (all Exp_87 all List1_45 all List2_45 all Exp1_99 all Exp2_99 call_list_char(Exp_87,List1_45,List2_45) != while_list_char(Exp1_99,Exp2_99)) # label(fact_682_exp_Osimps_I190_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 764 (all Exp1_98 all Exp2_98 all Exp_86 all List1_44 all List2_44 while_list_char(Exp1_98,Exp2_98) != call_list_char(Exp_86,List1_44,List2_44)) # label(fact_683_exp_Osimps_I191_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 765 (all Exp1_97 all Bop_10 all Exp2_97 all Exp1_96 all Exp2_96 binOp_list_char(Exp1_97,Bop_10,Exp2_97) != while_list_char(Exp1_96,Exp2_96)) # label(fact_684_exp_Osimps_I110_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 766 (all Exp1_95 all Exp2_95 all Exp1_94 all Bop_9 all Exp2_94 while_list_char(Exp1_95,Exp2_95) != binOp_list_char(Exp1_94,Bop_9,Exp2_94)) # label(fact_685_exp_Osimps_I111_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 767 (all Exp1_93 all Exp2_93 all Exp3_9 all Exp1_92 all Exp2_92 cond_list_char(Exp1_93,Exp2_93,Exp3_9) != while_list_char(Exp1_92,Exp2_92)) # label(fact_686_exp_Osimps_I214_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 768 (all Exp1_91 all Exp2_91 all Exp1_90 all Exp2_90 all Exp3_8 while_list_char(Exp1_91,Exp2_91) != cond_list_char(Exp1_90,Exp2_90,Exp3_8)) # label(fact_687_exp_Osimps_I215_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 769 (all Exp1_89 all Exp2_89 all List_23 all Exp_85 while_list_char(Exp1_89,Exp2_89) != cast_list_char(List_23,Exp_85)) # label(fact_688_exp_Osimps_I65_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 770 (all List_22 all Exp_84 all Exp1_88 all Exp2_88 cast_list_char(List_22,Exp_84) != while_list_char(Exp1_88,Exp2_88)) # label(fact_689_exp_Osimps_I64_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 771 (all Exp_83 all List1_43 all List2_43 all Exp1_87 all Exp2_87 fAcc_list_char(Exp_83,List1_43,List2_43) != while_list_char(Exp1_87,Exp2_87)) # label(fact_690_exp_Osimps_I164_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 772 (all Exp1_86 all Exp2_86 all Exp_82 all List1_42 all List2_42 while_list_char(Exp1_86,Exp2_86) != fAcc_list_char(Exp_82,List1_42,List2_42)) # label(fact_691_exp_Osimps_I165_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 773 (all Exp1_85 all List_21 all A_61 all Exp2_85 all Exp1_84 all Exp2_84 tryCatch_list_char(Exp1_85,List_21,A_61,Exp2_85) != while_list_char(Exp1_84,Exp2_84)) # label(fact_692_exp_Osimps_I223_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 774 (all Exp1_83 all Exp2_83 all Exp1_82 all List_20 all A_60 all Exp2_82 while_list_char(Exp1_83,Exp2_83) != tryCatch_list_char(Exp1_82,List_20,A_60,Exp2_82)) # label(fact_693_exp_Osimps_I222_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 775 (all C_1 all B all S_1 all Ea all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(B,S_1),produc1259058957on_val(throw_list_char(Ea),S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(while_list_char(B,C_1),S_1),produc1259058957on_val(throw_list_char(Ea),S)),transi2024712006on_val(red(Pa)))))) # label(fact_694_WhileRedsThrow) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 776 (all Ea all S_1 all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(throw_list_char(throw_list_char(Ea)),S_1),produc1259058957on_val(throw_list_char(Ea),S_1)),red(Pa)))) # label(fact_695_red__reds_OThrowThrow) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 777 (all Ea all S_1 all E_a all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),red(Pa))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(throw_list_char(Ea),S_1),produc1259058957on_val(throw_list_char(E_a),S)),red(Pa))))) # label(fact_696_red__reds_OThrowRed) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 778 (all C_1 all Ea all S_2_1 all B all S_0 all S_1_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(B,S_0),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,bool(fTrue)),S_1_1)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(C_1,S_1_1),produc1259058957on_val(throw_list_char(Ea),S_2_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(while_list_char(B,C_1),S_0),produc1259058957on_val(throw_list_char(Ea),S_2_1)),transi2024712006on_val(red(Pa))))))) # label(fact_697_WhileTRedsThrow) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 779 (all Bool all Bool_1 (bool(Bool) = bool(Bool_1) <-> (hBOOL(Bool) <-> hBOOL(Bool_1)))) # label(fact_698_val_Osimps_I1_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 780 (all Ea all S_1 all E_a all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(throw_list_char(Ea),S_1),produc1259058957on_val(throw_list_char(E_a),S)),transi2024712006on_val(red(Pa)))))) # label(fact_699_ThrowReds) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 781 (all Ea all S_1 all A all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(throw_list_char(A),S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(throw_list_char(Ea),S_1),produc1259058957on_val(throw_list_char(A),S)),transi2024712006on_val(red(Pa)))))) # label(fact_700_ThrowRedsThrow) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 782 (all Ea all M all Esa all S_1 all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(call_list_char(throw_list_char(Ea),M,Esa),S_1),produc1259058957on_val(throw_list_char(Ea),S_1)),red(Pa)))) # label(fact_701_red__reds_OCallThrowObj) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 783 (all Ea all Bop all E_2 all S_1 all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(binOp_list_char(throw_list_char(Ea),Bop,E_2),S_1),produc1259058957on_val(throw_list_char(Ea),S_1)),red(Pa)))) # label(fact_702_red__reds_OBinOpThrow1) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 784 (all C all Ea all S_1 all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cast_list_char(C,throw_list_char(Ea)),S_1),produc1259058957on_val(throw_list_char(Ea),S_1)),red(Pa)))) # label(fact_703_red__reds_OCastThrow) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 785 (all Ea all E_1_1 all E_2 all S_1 all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cond_list_char(throw_list_char(Ea),E_1_1,E_2),S_1),produc1259058957on_val(throw_list_char(Ea),S_1)),red(Pa)))) # label(fact_704_red__reds_OCondThrow) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 786 (all Ea all F all D all S_1 all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAcc_list_char(throw_list_char(Ea),F,D),S_1),produc1259058957on_val(throw_list_char(Ea),S_1)),red(Pa)))) # label(fact_705_red__reds_OFAccThrow) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 787 (all V_1_1 all Bop all Ea all S_1 all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_1),Bop,throw_list_char(Ea)),S_1),produc1259058957on_val(throw_list_char(Ea),S_1)),red(Pa)))) # label(fact_706_red__reds_OBinOpThrow2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 788 (all C_1 all B all S_1 all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(B,S_1),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,bool(fFalse)),S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(while_list_char(B,C_1),S_1),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,unit),S)),transi2024712006on_val(red(Pa)))))) # label(fact_707_WhileFReds) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 789 (all T_3 all Pa all Ha all E_1 all Ea all T_r (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,Ea),T_r)) -> (hBOOL(hAPP_ty_bool(is_refT,T_r)) -> hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,throw_list_char(Ea)),T_3))))) # label(fact_708_WTrtThrow) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 790 (all F all D all E_2 all Ea all S_2_1 all E_1_1 all S_0 all V_1 all S_1_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_1_1,S_0),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1),S_1_1)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_2,S_1_1),produc1259058957on_val(throw_list_char(Ea),S_2_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAss_list_char(E_1_1,F,D,E_2),S_0),produc1259058957on_val(throw_list_char(Ea),S_2_1)),transi2024712006on_val(red(Pa))))))) # label(fact_709_FAssRedsThrow2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 791 (all M all Esa all Vs_1_1 all A all Es_2_1 all S_2_1 all Ea all S0 all V_1 all S_1_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S0),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1),S_1_1)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Esa,S_1_1),produc379668296on_val(append_exp_list_char(map_va1934808527t_char(val_list_char,Vs_1_1),cons_exp_list_char(throw_list_char(A),Es_2_1)),S_2_1)),transi374442731on_val(reds(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(call_list_char(Ea,M,Esa),S0),produc1259058957on_val(throw_list_char(A),S_2_1)),transi2024712006on_val(red(Pa))))))) # label(fact_710_CallRedsThrowParams) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 792 (all F all D all E_2 all Ea all S_1 all E_a all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(throw_list_char(E_a),S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAss_list_char(Ea,F,D,E_2),S_1),produc1259058957on_val(throw_list_char(E_a),S)),transi2024712006on_val(red(Pa)))))) # label(fact_711_FAssRedsThrow1) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 793 (all V_1 all F all D all Ea all S_1 all E_a all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAss_list_char(hAPP_v834067052t_char(val_list_char,V_1),F,D,Ea),S_1),produc1259058957on_val(fAss_list_char(hAPP_v834067052t_char(val_list_char,V_1),F,D,E_a),S)),transi2024712006on_val(red(Pa)))))) # label(fact_712_FAssReds2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 794 (all V_1 all F all D all Ea all S_1 all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAss_list_char(hAPP_v834067052t_char(val_list_char,V_1),F,D,throw_list_char(Ea)),S_1),produc1259058957on_val(throw_list_char(Ea),S_1)),red(Pa)))) # label(fact_713_red__reds_OFAssThrow2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 795 (all V all Ea all S_1 all A all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(throw_list_char(A),S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(lAss_list_char(V,Ea),S_1),produc1259058957on_val(throw_list_char(A),S)),transi2024712006on_val(red(Pa)))))) # label(fact_714_LAssRedsThrow) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 796 (all E_2 all Ea all S_1 all E_a all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(throw_list_char(E_a),S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(seq_list_char(Ea,E_2),S_1),produc1259058957on_val(throw_list_char(E_a),S)),transi2024712006on_val(red(Pa)))))) # label(fact_715_SeqRedsThrow) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 797 (all E_2 all T_2_2 all Pa all Ha all E_1 all E_1_1 all T_1_2 (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,E_1_1),T_1_2)) -> (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,E_2),T_2_2)) -> hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,seq_list_char(E_1_1,E_2)),T_2_2))))) # label(fact_716_WTrtSeq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 798 (all Exp1_81 all List1_41 all List2_41 all Exp2_81 all Exp1_80 all List1_40 all List2_40 all Exp2_80 (fAss_list_char(Exp1_81,List1_41,List2_41,Exp2_81) = fAss_list_char(Exp1_80,List1_40,List2_40,Exp2_80) <-> Exp1_81 = Exp1_80 & List1_41 = List1_40 & List2_41 = List2_40 & Exp2_81 = Exp2_80)) # label(fact_717_exp_Osimps_I8_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 799 (all A all Exp_35 all A_3 all Exp_34 (lAss_list_char(A,Exp_35) = lAss_list_char(A_3,Exp_34) <-> A = A_3 & Exp_35 = Exp_34)) # label(fact_718_exp_Osimps_I6_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 800 (all Exp1_81 all Exp2_81 all Exp1_80 all Exp2_80 (seq_list_char(Exp1_81,Exp2_81) = seq_list_char(Exp1_80,Exp2_80) <-> Exp1_81 = Exp1_80 & Exp2_81 = Exp2_80)) # label(fact_719_exp_Osimps_I11_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 801 (all Exp1_79 all List1_39 all List2_39 all Exp2_79 all A_59 all Exp_81 fAss_list_char(Exp1_79,List1_39,List2_39,Exp2_79) != lAss_list_char(A_59,Exp_81)) # label(fact_720_exp_Osimps_I139_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 802 (all Exp1_78 all List1_38 all List2_38 all Exp2_78 all Exp1_77 all Exp2_77 fAss_list_char(Exp1_78,List1_38,List2_38,Exp2_78) != seq_list_char(Exp1_77,Exp2_77)) # label(fact_721_exp_Osimps_I174_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 803 (all A_58 all Exp_80 all Exp1_76 all List1_37 all List2_37 all Exp2_76 lAss_list_char(A_58,Exp_80) != fAss_list_char(Exp1_76,List1_37,List2_37,Exp2_76)) # label(fact_722_exp_Osimps_I138_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 804 (all Exp1_75 all Exp2_75 all Exp1_74 all List1_36 all List2_36 all Exp2_74 seq_list_char(Exp1_75,Exp2_75) != fAss_list_char(Exp1_74,List1_36,List2_36,Exp2_74)) # label(fact_723_exp_Osimps_I175_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 805 (all A_57 all Exp_79 all Exp1_73 all Exp2_73 lAss_list_char(A_57,Exp_79) != seq_list_char(Exp1_73,Exp2_73)) # label(fact_724_exp_Osimps_I144_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 806 (all Exp1_72 all Exp2_72 all A_56 all Exp_78 seq_list_char(Exp1_72,Exp2_72) != lAss_list_char(A_56,Exp_78)) # label(fact_725_exp_Osimps_I145_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 807 (all Val_7 all Exp1_71 all Exp2_71 hAPP_v834067052t_char(val_list_char,Val_7) != seq_list_char(Exp1_71,Exp2_71)) # label(fact_726_exp_Osimps_I84_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 808 (all Val_6 all A_55 all Exp_77 hAPP_v834067052t_char(val_list_char,Val_6) != lAss_list_char(A_55,Exp_77)) # label(fact_727_exp_Osimps_I74_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 809 (all Val_5 all Exp1_70 all List1_35 all List2_35 all Exp2_70 hAPP_v834067052t_char(val_list_char,Val_5) != fAss_list_char(Exp1_70,List1_35,List2_35,Exp2_70)) # label(fact_728_exp_Osimps_I78_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 810 (all Exp1_69 all Exp2_69 all Val_4 seq_list_char(Exp1_69,Exp2_69) != hAPP_v834067052t_char(val_list_char,Val_4)) # label(fact_729_exp_Osimps_I85_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 811 (all A_54 all Exp_76 all Val_3 lAss_list_char(A_54,Exp_76) != hAPP_v834067052t_char(val_list_char,Val_3)) # label(fact_730_exp_Osimps_I75_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 812 (all Exp1_68 all List1_34 all List2_34 all Exp2_68 all Val_2 fAss_list_char(Exp1_68,List1_34,List2_34,Exp2_68) != hAPP_v834067052t_char(val_list_char,Val_2)) # label(fact_731_exp_Osimps_I79_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 813 (all Exp1_67 all List1_33 all List2_33 all Exp2_67 all Exp_75 fAss_list_char(Exp1_67,List1_33,List2_33,Exp2_67) != throw_list_char(Exp_75)) # label(fact_732_exp_Osimps_I180_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 814 (all A_53 all Exp_74 all Exp_73 lAss_list_char(A_53,Exp_74) != throw_list_char(Exp_73)) # label(fact_733_exp_Osimps_I150_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 815 (all Exp1_66 all Exp2_66 all Exp_72 seq_list_char(Exp1_66,Exp2_66) != throw_list_char(Exp_72)) # label(fact_734_exp_Osimps_I210_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 816 (all Exp_71 all Exp1_65 all List1_32 all List2_32 all Exp2_65 throw_list_char(Exp_71) != fAss_list_char(Exp1_65,List1_32,List2_32,Exp2_65)) # label(fact_735_exp_Osimps_I181_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 817 (all Exp_70 all A_52 all Exp_69 throw_list_char(Exp_70) != lAss_list_char(A_52,Exp_69)) # label(fact_736_exp_Osimps_I151_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 818 (all Exp_68 all Exp1_64 all Exp2_64 throw_list_char(Exp_68) != seq_list_char(Exp1_64,Exp2_64)) # label(fact_737_exp_Osimps_I211_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 819 (all Exp1_63 all Exp2_63 all Exp_67 all List1_31 all List2_31 seq_list_char(Exp1_63,Exp2_63) != call_list_char(Exp_67,List1_31,List2_31)) # label(fact_738_exp_Osimps_I187_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 820 (all A_51 all Exp_66 all Exp_65 all List1_30 all List2_30 lAss_list_char(A_51,Exp_66) != call_list_char(Exp_65,List1_30,List2_30)) # label(fact_739_exp_Osimps_I140_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 821 (all Exp_64 all List1_29 all List2_29 all Exp1_62 all Exp2_62 call_list_char(Exp_64,List1_29,List2_29) != seq_list_char(Exp1_62,Exp2_62)) # label(fact_740_exp_Osimps_I186_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 822 (all Exp_63 all List1_28 all List2_28 all A_50 all Exp_62 call_list_char(Exp_63,List1_28,List2_28) != lAss_list_char(A_50,Exp_62)) # label(fact_741_exp_Osimps_I141_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 823 (all Exp_61 all List1_27 all List2_27 all Exp1_61 all List1_26 all List2_26 all Exp2_61 call_list_char(Exp_61,List1_27,List2_27) != fAss_list_char(Exp1_61,List1_26,List2_26,Exp2_61)) # label(fact_742_exp_Osimps_I171_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 824 (all Exp1_60 all List1_25 all List2_25 all Exp2_60 all Exp_60 all List1_24 all List2_24 fAss_list_char(Exp1_60,List1_25,List2_25,Exp2_60) != call_list_char(Exp_60,List1_24,List2_24)) # label(fact_743_exp_Osimps_I170_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 825 (all Exp1_59 all Exp2_59 all Exp1_58 all Bop_8 all Exp2_58 seq_list_char(Exp1_59,Exp2_59) != binOp_list_char(Exp1_58,Bop_8,Exp2_58)) # label(fact_744_exp_Osimps_I107_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 826 (all A_49 all Exp_59 all Exp1_57 all Bop_7 all Exp2_57 lAss_list_char(A_49,Exp_59) != binOp_list_char(Exp1_57,Bop_7,Exp2_57)) # label(fact_745_exp_Osimps_I97_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 827 (all Exp1_56 all Bop_6 all Exp2_56 all Exp1_55 all Exp2_55 binOp_list_char(Exp1_56,Bop_6,Exp2_56) != seq_list_char(Exp1_55,Exp2_55)) # label(fact_746_exp_Osimps_I106_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 828 (all Exp1_54 all Bop_5 all Exp2_54 all A_48 all Exp_58 binOp_list_char(Exp1_54,Bop_5,Exp2_54) != lAss_list_char(A_48,Exp_58)) # label(fact_747_exp_Osimps_I96_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 829 (all Exp1_53 all Bop_4 all Exp2_53 all Exp1_52 all List1_23 all List2_23 all Exp2_52 binOp_list_char(Exp1_53,Bop_4,Exp2_53) != fAss_list_char(Exp1_52,List1_23,List2_23,Exp2_52)) # label(fact_748_exp_Osimps_I100_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 830 (all Exp1_51 all List1_22 all List2_22 all Exp2_51 all Exp1_50 all Bop_3 all Exp2_50 fAss_list_char(Exp1_51,List1_22,List2_22,Exp2_51) != binOp_list_char(Exp1_50,Bop_3,Exp2_50)) # label(fact_749_exp_Osimps_I101_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 831 (all Exp1_49 all Exp2_49 all List_19 all Exp_57 seq_list_char(Exp1_49,Exp2_49) != cast_list_char(List_19,Exp_57)) # label(fact_750_exp_Osimps_I61_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 832 (all List_18 all Exp_56 all Exp1_48 all Exp2_48 cast_list_char(List_18,Exp_56) != seq_list_char(Exp1_48,Exp2_48)) # label(fact_751_exp_Osimps_I60_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 833 (all List_17 all Exp_55 all A_47 all Exp_54 cast_list_char(List_17,Exp_55) != lAss_list_char(A_47,Exp_54)) # label(fact_752_exp_Osimps_I50_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 834 (all A_46 all Exp_53 all List_16 all Exp_52 lAss_list_char(A_46,Exp_53) != cast_list_char(List_16,Exp_52)) # label(fact_753_exp_Osimps_I51_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 835 (all Exp1_47 all Exp2_47 all Exp1_46 all Exp2_46 all Exp3_7 seq_list_char(Exp1_47,Exp2_47) != cond_list_char(Exp1_46,Exp2_46,Exp3_7)) # label(fact_754_exp_Osimps_I206_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 836 (all A_45 all Exp_51 all Exp1_45 all Exp2_45 all Exp3_6 lAss_list_char(A_45,Exp_51) != cond_list_char(Exp1_45,Exp2_45,Exp3_6)) # label(fact_755_exp_Osimps_I146_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 837 (all List_15 all Exp_50 all Exp1_44 all List1_21 all List2_21 all Exp2_44 cast_list_char(List_15,Exp_50) != fAss_list_char(Exp1_44,List1_21,List2_21,Exp2_44)) # label(fact_756_exp_Osimps_I54_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 838 (all Exp1_43 all Exp2_43 all Exp3_5 all Exp1_42 all Exp2_42 cond_list_char(Exp1_43,Exp2_43,Exp3_5) != seq_list_char(Exp1_42,Exp2_42)) # label(fact_757_exp_Osimps_I207_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 839 (all Exp1_41 all Exp2_41 all Exp3_4 all A_44 all Exp_49 cond_list_char(Exp1_41,Exp2_41,Exp3_4) != lAss_list_char(A_44,Exp_49)) # label(fact_758_exp_Osimps_I147_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 840 (all Exp1_40 all Exp2_40 all Exp3_3 all Exp1_39 all List1_20 all List2_20 all Exp2_39 cond_list_char(Exp1_40,Exp2_40,Exp3_3) != fAss_list_char(Exp1_39,List1_20,List2_20,Exp2_39)) # label(fact_759_exp_Osimps_I177_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 841 (all Exp1_38 all List1_19 all List2_19 all Exp2_38 all List_14 all Exp_48 fAss_list_char(Exp1_38,List1_19,List2_19,Exp2_38) != cast_list_char(List_14,Exp_48)) # label(fact_760_exp_Osimps_I55_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 842 (all Exp1_37 all List1_18 all List2_18 all Exp2_37 all Exp1_36 all Exp2_36 all Exp3_2 fAss_list_char(Exp1_37,List1_18,List2_18,Exp2_37) != cond_list_char(Exp1_36,Exp2_36,Exp3_2)) # label(fact_761_exp_Osimps_I176_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 843 (all Exp1_35 all Exp2_35 all Exp_47 all List1_17 all List2_17 seq_list_char(Exp1_35,Exp2_35) != fAcc_list_char(Exp_47,List1_17,List2_17)) # label(fact_762_exp_Osimps_I161_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 844 (all A_43 all Exp_46 all Exp_45 all List1_16 all List2_16 lAss_list_char(A_43,Exp_46) != fAcc_list_char(Exp_45,List1_16,List2_16)) # label(fact_763_exp_Osimps_I136_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 845 (all Exp_44 all List1_15 all List2_15 all Exp1_34 all Exp2_34 fAcc_list_char(Exp_44,List1_15,List2_15) != seq_list_char(Exp1_34,Exp2_34)) # label(fact_764_exp_Osimps_I160_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 846 (all Exp_43 all List1_14 all List2_14 all A_42 all Exp_42 fAcc_list_char(Exp_43,List1_14,List2_14) != lAss_list_char(A_42,Exp_42)) # label(fact_765_exp_Osimps_I137_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 847 (all Exp_41 all List1_13 all List2_13 all Exp1_33 all List1_12 all List2_12 all Exp2_33 fAcc_list_char(Exp_41,List1_13,List2_13) != fAss_list_char(Exp1_33,List1_12,List2_12,Exp2_33)) # label(fact_766_exp_Osimps_I154_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 848 (all Exp1_32 all List1_11 all List2_11 all Exp2_32 all Exp_40 all List1_10 all List2_10 fAss_list_char(Exp1_32,List1_11,List2_11,Exp2_32) != fAcc_list_char(Exp_40,List1_10,List2_10)) # label(fact_767_exp_Osimps_I155_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 849 (all Exp1_31 all Exp2_31 all Exp1_30 all List_13 all A_41 all Exp2_30 seq_list_char(Exp1_31,Exp2_31) != tryCatch_list_char(Exp1_30,List_13,A_41,Exp2_30)) # label(fact_768_exp_Osimps_I212_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 850 (all A_40 all Exp_39 all Exp1_29 all List_12 all A_39 all Exp2_29 lAss_list_char(A_40,Exp_39) != tryCatch_list_char(Exp1_29,List_12,A_39,Exp2_29)) # label(fact_769_exp_Osimps_I152_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 851 (all Exp1_28 all List_11 all A_38 all Exp2_28 all Exp1_27 all Exp2_27 tryCatch_list_char(Exp1_28,List_11,A_38,Exp2_28) != seq_list_char(Exp1_27,Exp2_27)) # label(fact_770_exp_Osimps_I213_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 852 (all Exp1_26 all List_10 all A_37 all Exp2_26 all A_36 all Exp_38 tryCatch_list_char(Exp1_26,List_10,A_37,Exp2_26) != lAss_list_char(A_36,Exp_38)) # label(fact_771_exp_Osimps_I153_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 853 (all Exp1_25 all List1_9 all List2_9 all Exp2_25 all Exp1_24 all List_9 all A_35 all Exp2_24 fAss_list_char(Exp1_25,List1_9,List2_9,Exp2_25) != tryCatch_list_char(Exp1_24,List_9,A_35,Exp2_24)) # label(fact_772_exp_Osimps_I182_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 854 (all Exp1_23 all List_8 all A_34 all Exp2_23 all Exp1_22 all List1_8 all List2_8 all Exp2_22 tryCatch_list_char(Exp1_23,List_8,A_34,Exp2_23) != fAss_list_char(Exp1_22,List1_8,List2_8,Exp2_22)) # label(fact_773_exp_Osimps_I183_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 855 (all Exp1_21 all List1_7 all List2_7 all Exp2_21 all Exp1_20 all Exp2_20 fAss_list_char(Exp1_21,List1_7,List2_7,Exp2_21) != while_list_char(Exp1_20,Exp2_20)) # label(fact_774_exp_Osimps_I178_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 856 (all Exp1_19 all Exp2_19 all Exp1_18 all List1_6 all List2_6 all Exp2_18 while_list_char(Exp1_19,Exp2_19) != fAss_list_char(Exp1_18,List1_6,List2_6,Exp2_18)) # label(fact_775_exp_Osimps_I179_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 857 (all Exp1_17 all Exp2_17 all A_33 all Exp_37 while_list_char(Exp1_17,Exp2_17) != lAss_list_char(A_33,Exp_37)) # label(fact_776_exp_Osimps_I149_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 858 (all Exp1_16 all Exp2_16 all Exp1_15 all Exp2_15 while_list_char(Exp1_16,Exp2_16) != seq_list_char(Exp1_15,Exp2_15)) # label(fact_777_exp_Osimps_I209_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 859 (all A_32 all Exp_36 all Exp1_14 all Exp2_14 lAss_list_char(A_32,Exp_36) != while_list_char(Exp1_14,Exp2_14)) # label(fact_778_exp_Osimps_I148_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 860 (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_779_exp_Osimps_I208_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 861 (all Bool_1 unit != bool(Bool_1)) # label(fact_782_val_Osimps_I6_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 862 (all Bool_1 bool(Bool_1) != unit) # label(fact_783_val_Osimps_I7_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 863 (all V all Ea all S_1 all E_a all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),red(Pa))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(lAss_list_char(V,Ea),S_1),produc1259058957on_val(lAss_list_char(V,E_a),S)),red(Pa))))) # label(fact_784_red__reds_OLAssRed) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 864 (all E_2 all Ea all S_1 all E_a all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),red(Pa))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(seq_list_char(Ea,E_2),S_1),produc1259058957on_val(seq_list_char(E_a,E_2),S)),red(Pa))))) # label(fact_785_red__reds_OSeqRed) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 865 (all F all D all E_2 all Ea all S_1 all E_a all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),red(Pa))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAss_list_char(Ea,F,D,E_2),S_1),produc1259058957on_val(fAss_list_char(E_a,F,D,E_2),S)),red(Pa))))) # label(fact_786_red__reds_OFAssRed1) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 866 (all V_1 all M all S_1 all Pa all Esa all Vs_1 all Ea all Es_a (Esa = append_exp_list_char(map_va1934808527t_char(val_list_char,Vs_1),cons_exp_list_char(throw_list_char(Ea),Es_a)) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(call_list_char(hAPP_v834067052t_char(val_list_char,V_1),M,Esa),S_1),produc1259058957on_val(throw_list_char(Ea),S_1)),red(Pa))))) # label(fact_787_red__reds_OCallThrowParams) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 867 (all B all C_1 all S_1 all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(while_list_char(B,C_1),S_1),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_1)),red(Pa)))) # label(fact_788_red__reds_ORedWhile) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 868 (all V_1 all E_2 all S_1 all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(seq_list_char(hAPP_v834067052t_char(val_list_char,V_1),E_2),S_1),produc1259058957on_val(E_2,S_1)),red(Pa)))) # label(fact_789_red__reds_ORedSeq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 869 (all Ea all E_2 all S_1 all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(seq_list_char(throw_list_char(Ea),E_2),S_1),produc1259058957on_val(throw_list_char(Ea),S_1)),red(Pa)))) # label(fact_790_red__reds_OSeqThrow) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 870 (all V all Ea all S_1 all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(lAss_list_char(V,throw_list_char(Ea)),S_1),produc1259058957on_val(throw_list_char(Ea),S_1)),red(Pa)))) # label(fact_791_red__reds_OLAssThrow) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 871 (all V all Ea all S_1 all E_a all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(lAss_list_char(V,Ea),S_1),produc1259058957on_val(lAss_list_char(V,E_a),S)),transi2024712006on_val(red(Pa)))))) # label(fact_792_LAssReds) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 872 (all E_2 all Ea all S_1 all E_a all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(seq_list_char(Ea,E_2),S_1),produc1259058957on_val(seq_list_char(E_a,E_2),S)),transi2024712006on_val(red(Pa)))))) # label(fact_793_SeqReds) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 873 (all V_1 all F all D all Ea all S_1 all E_a all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),red(Pa))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAss_list_char(hAPP_v834067052t_char(val_list_char,V_1),F,D,Ea),S_1),produc1259058957on_val(fAss_list_char(hAPP_v834067052t_char(val_list_char,V_1),F,D,E_a),S)),red(Pa))))) # label(fact_794_red__reds_OFAssRed2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 874 (all Ea all F all D all E_2 all S_1 all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAss_list_char(throw_list_char(Ea),F,D,E_2),S_1),produc1259058957on_val(throw_list_char(Ea),S_1)),red(Pa)))) # label(fact_795_red__reds_OFAssThrow1) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 875 (all F all D all E_2 all Ea all S_1 all E_a all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAss_list_char(Ea,F,D,E_2),S_1),produc1259058957on_val(fAss_list_char(E_a,F,D,E_2),S)),transi2024712006on_val(red(Pa)))))) # label(fact_796_FAssReds1) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 876 (all E_2 all E_2_1 all S_2_1 all E_1_1 all S_0 all V_1_1 all S_1_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_1_1,S_0),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1_1),S_1_1)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_2,S_1_1),produc1259058957on_val(E_2_1,S_2_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(seq_list_char(E_1_1,E_2),S_0),produc1259058957on_val(E_2_1,S_2_1)),transi2024712006on_val(red(Pa))))))) # label(fact_797_SeqReds2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.48 877 (all Pa all Ha all E_1 all Ea all T_3 (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,throw_list_char(Ea)),T_3)) -> -(all T_r_1 (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,Ea),T_r_1)) -> -hBOOL(hAPP_ty_bool(is_refT,T_r_1)))))) # label(fact_798_WTrt__elim__cases_I4_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 878 (all F_1 all Xs all Ys map_Pr1267419400har_ty(F_1,append590652462har_ty(Xs,Ys)) = append814478020har_ty(map_Pr1267419400har_ty(F_1,Xs),map_Pr1267419400har_ty(F_1,Ys))) # label(fact_799_map__append) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 879 (all F_1 all Xs all Ys map_Pr1471044963har_ty(F_1,append1373980413har_ty(Xs,Ys)) = append590652462har_ty(map_Pr1471044963har_ty(F_1,Xs),map_Pr1471044963har_ty(F_1,Ys))) # label(fact_800_map__append) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 880 (all F_1 all Xs all Ys map_list_char_val(F_1,append_list_char(Xs,Ys)) = append_val(map_list_char_val(F_1,Xs),map_list_char_val(F_1,Ys))) # label(fact_801_map__append) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 881 (all F_1 all Xs all Ys map_ty_option_ty(F_1,append_ty(Xs,Ys)) = append_option_ty(map_ty_option_ty(F_1,Xs),map_ty_option_ty(F_1,Ys))) # label(fact_802_map__append) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 882 (all F_1 all Xs all Ys map_val_option_ty(F_1,append_val(Xs,Ys)) = append_option_ty(map_val_option_ty(F_1,Xs),map_val_option_ty(F_1,Ys))) # label(fact_803_map__append) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 883 (all F_1 all Xs all Ys map_va1934808527t_char(F_1,append_val(Xs,Ys)) = append_exp_list_char(map_va1934808527t_char(F_1,Xs),map_va1934808527t_char(F_1,Ys))) # label(fact_804_map__append) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 884 (all Xs_6 all Zs_4 all X_6 all Xs1_1 all Ys_4 (cons_P796333129har_ty(X_6,Xs1_1) = Ys_4 -> (Xs_6 = append590652462har_ty(Xs1_1,Zs_4) -> cons_P796333129har_ty(X_6,Xs_6) = append590652462har_ty(Ys_4,Zs_4)))) # label(fact_805_Cons__eq__appendI) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 885 (all Xs_6 all Zs_4 all X_6 all Xs1_1 all Ys_4 (cons_exp_list_char(X_6,Xs1_1) = Ys_4 -> (Xs_6 = append_exp_list_char(Xs1_1,Zs_4) -> cons_exp_list_char(X_6,Xs_6) = append_exp_list_char(Ys_4,Zs_4)))) # label(fact_806_Cons__eq__appendI) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 886 (all Xs_6 all Zs_4 all X_6 all Xs1_1 all Ys_4 (cons_val(X_6,Xs1_1) = Ys_4 -> (Xs_6 = append_val(Xs1_1,Zs_4) -> cons_val(X_6,Xs_6) = append_val(Ys_4,Zs_4)))) # label(fact_807_Cons__eq__appendI) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 887 (all Xs_6 all Zs_4 all X_6 all Xs1_1 all Ys_4 (cons_ty(X_6,Xs1_1) = Ys_4 -> (Xs_6 = append_ty(Xs1_1,Zs_4) -> cons_ty(X_6,Xs_6) = append_ty(Ys_4,Zs_4)))) # label(fact_808_Cons__eq__appendI) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 888 (all Xs_6 all Zs_4 all X_6 all Xs1_1 all Ys_4 (cons_list_char(X_6,Xs1_1) = Ys_4 -> (Xs_6 = append_list_char(Xs1_1,Zs_4) -> cons_list_char(X_6,Xs_6) = append_list_char(Ys_4,Zs_4)))) # label(fact_809_Cons__eq__appendI) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 889 (all X_5 all Xs_5 all Ys_3 append590652462har_ty(cons_P796333129har_ty(X_5,Xs_5),Ys_3) = cons_P796333129har_ty(X_5,append590652462har_ty(Xs_5,Ys_3))) # label(fact_810_append__Cons) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 890 (all X_5 all Xs_5 all Ys_3 append_exp_list_char(cons_exp_list_char(X_5,Xs_5),Ys_3) = cons_exp_list_char(X_5,append_exp_list_char(Xs_5,Ys_3))) # label(fact_811_append__Cons) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 891 (all X_5 all Xs_5 all Ys_3 append_val(cons_val(X_5,Xs_5),Ys_3) = cons_val(X_5,append_val(Xs_5,Ys_3))) # label(fact_812_append__Cons) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 892 (all X_5 all Xs_5 all Ys_3 append_ty(cons_ty(X_5,Xs_5),Ys_3) = cons_ty(X_5,append_ty(Xs_5,Ys_3))) # label(fact_813_append__Cons) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 893 (all X_5 all Xs_5 all Ys_3 append_list_char(cons_list_char(X_5,Xs_5),Ys_3) = cons_list_char(X_5,append_list_char(Xs_5,Ys_3))) # label(fact_814_append__Cons) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 894 (all F_1 all X_2 all Xs map_Pr1267419400har_ty(F_1,cons_P796333129har_ty(X_2,Xs)) = cons_P1020158687har_ty(hAPP_P385447595har_ty(F_1,X_2),map_Pr1267419400har_ty(F_1,Xs))) # label(fact_815_map_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 895 (all F_1 all X_2 all Xs map_Pr1471044963har_ty(F_1,cons_P306092184har_ty(X_2,Xs)) = cons_P796333129har_ty(hAPP_P71962758har_ty(F_1,X_2),map_Pr1471044963har_ty(F_1,Xs))) # label(fact_816_map_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 896 (all F_1 all X_2 all Xs map_list_char_val(F_1,cons_list_char(X_2,Xs)) = cons_val(hAPP_list_char_val(F_1,X_2),map_list_char_val(F_1,Xs))) # label(fact_817_map_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 897 (all F_1 all X_2 all Xs map_ty_option_ty(F_1,cons_ty(X_2,Xs)) = cons_option_ty(hAPP_ty_option_ty(F_1,X_2),map_ty_option_ty(F_1,Xs))) # label(fact_818_map_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 898 (all F_1 all X_2 all Xs map_val_option_ty(F_1,cons_val(X_2,Xs)) = cons_option_ty(hAPP_val_option_ty(F_1,X_2),map_val_option_ty(F_1,Xs))) # label(fact_819_map_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 899 (all F_1 all X_2 all Xs map_va1934808527t_char(F_1,cons_val(X_2,Xs)) = cons_exp_list_char(hAPP_v834067052t_char(F_1,X_2),map_va1934808527t_char(F_1,Xs))) # label(fact_820_map_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 900 (all Pa all V_1 all M all S_1 all Esa all Vs_1 all Ea all Es_a (Esa = append_exp_list_char(map_va1934808527t_char(val_list_char,Vs_1),cons_exp_list_char(throw_list_char(Ea),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_1),throw_list_char(Ea)),S_1)))) # label(fact_821_redp__redsp_OCallThrowParams) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 901 (all V all T_3 all V_1 all U all S_1 all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(block_list_char(V,T_3,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),hAPP_v834067052t_char(val_list_char,U))),S_1),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,U),S_1)),red(Pa)))) # label(fact_822_red__reds_ORedInitBlock) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 902 (all Vs_1 all Esa (hBOOL(finals_list_char(append_exp_list_char(map_va1934808527t_char(val_list_char,Vs_1),Esa))) <-> hBOOL(finals_list_char(Esa)))) # label(fact_823_finals__app__map) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 903 (all A all Ty_25 all Exp_35 all A_3 all Ty_24 all Exp_34 (block_list_char(A,Ty_25,Exp_35) = block_list_char(A_3,Ty_24,Exp_34) <-> A = A_3 & Ty_25 = Ty_24 & Exp_35 = Exp_34)) # label(fact_824_exp_Osimps_I10_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 904 (all Pa all V all T_3 all U all S_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V,T_3,hAPP_v834067052t_char(val_list_char,U)),S_1),hAPP_v834067052t_char(val_list_char,U)),S_1))) # label(fact_825_redp__redsp_ORedBlock) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 905 (all Pa all Ea all S_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,throw_list_char(throw_list_char(Ea)),S_1),throw_list_char(Ea)),S_1))) # label(fact_826_redp__redsp_OThrowThrow) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 906 (all Pa all Ea all S_1 all E_a all S (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S_1),E_a),S)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,throw_list_char(Ea),S_1),throw_list_char(E_a)),S)))) # label(fact_827_redp__redsp_OThrowRed) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 907 (all E_2 all Pa all Ea all S_1 all E_a all S (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S_1),E_a),S)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,seq_list_char(Ea,E_2),S_1),seq_list_char(E_a,E_2)),S)))) # label(fact_828_redp__redsp_OSeqRed) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 908 (all V all Pa all Ea all S_1 all E_a all S (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S_1),E_a),S)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,lAss_list_char(V,Ea),S_1),lAss_list_char(V,E_a)),S)))) # label(fact_829_redp__redsp_OLAssRed) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 909 (all M all Esa all Pa all Ea all S_1 all E_a all S (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S_1),E_a),S)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(Ea,M,Esa),S_1),call_list_char(E_a,M,Esa)),S)))) # label(fact_830_redp__redsp_OCallObj) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 910 (all F all D all E_2 all Pa all Ea all S_1 all E_a all S (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S_1),E_a),S)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(Ea,F,D,E_2),S_1),fAss_list_char(E_a,F,D,E_2)),S)))) # label(fact_831_redp__redsp_OFAssRed1) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 911 (all Bop all E_2 all Pa all Ea all S_1 all E_a all S (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S_1),E_a),S)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,binOp_list_char(Ea,Bop,E_2),S_1),binOp_list_char(E_a,Bop,E_2)),S)))) # label(fact_832_redp__redsp_OBinOpRed1) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 912 (all C all Pa all Ea all S_1 all E_a all S (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S_1),E_a),S)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cast_list_char(C,Ea),S_1),cast_list_char(C,E_a)),S)))) # label(fact_833_redp__redsp_OCastRed) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 913 (all E_1_1 all E_2 all Pa all Ea all S_1 all E_a all S (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S_1),E_a),S)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cond_list_char(Ea,E_1_1,E_2),S_1),cond_list_char(E_a,E_1_1,E_2)),S)))) # label(fact_834_redp__redsp_OCondRed) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 914 (all F all D all Pa all Ea all S_1 all E_a all S (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S_1),E_a),S)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAcc_list_char(Ea,F,D),S_1),fAcc_list_char(E_a,F,D)),S)))) # label(fact_835_redp__redsp_OFAccRed) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 915 (all C all V all E_2 all Pa all Ea all S_1 all E_a all S (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S_1),E_a),S)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,tryCatch_list_char(Ea,C,V,E_2),S_1),tryCatch_list_char(E_a,C,V,E_2)),S)))) # label(fact_836_redp__redsp_OTryRed) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 916 (all A_31 all Ty_23 all Exp_33 all Val_1 block_list_char(A_31,Ty_23,Exp_33) != hAPP_v834067052t_char(val_list_char,Val_1)) # label(fact_837_exp_Osimps_I83_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 917 (all Val all A_30 all Ty_22 all Exp_32 hAPP_v834067052t_char(val_list_char,Val) != block_list_char(A_30,Ty_22,Exp_32)) # label(fact_838_exp_Osimps_I82_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 918 (all Exp_31 all A_29 all Ty_21 all Exp_30 throw_list_char(Exp_31) != block_list_char(A_29,Ty_21,Exp_30)) # label(fact_839_exp_Osimps_I203_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 919 (all A_28 all Ty_20 all Exp_29 all Exp_28 block_list_char(A_28,Ty_20,Exp_29) != throw_list_char(Exp_28)) # label(fact_840_exp_Osimps_I202_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 920 (all Exp1_11 all Exp2_11 all A_27 all Ty_19 all Exp_27 seq_list_char(Exp1_11,Exp2_11) != block_list_char(A_27,Ty_19,Exp_27)) # label(fact_841_exp_Osimps_I197_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 921 (all A_26 all Exp_26 all A_25 all Ty_18 all Exp_25 lAss_list_char(A_26,Exp_26) != block_list_char(A_25,Ty_18,Exp_25)) # label(fact_842_exp_Osimps_I142_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 922 (all A_24 all Ty_17 all Exp_24 all Exp1_10 all Exp2_10 block_list_char(A_24,Ty_17,Exp_24) != seq_list_char(Exp1_10,Exp2_10)) # label(fact_843_exp_Osimps_I196_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 923 (all A_23 all Ty_16 all Exp_23 all A_22 all Exp_22 block_list_char(A_23,Ty_16,Exp_23) != lAss_list_char(A_22,Exp_22)) # label(fact_844_exp_Osimps_I143_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 924 (all A_21 all Ty_15 all Exp_21 all Exp_20 all List1_5 all List2_5 block_list_char(A_21,Ty_15,Exp_21) != call_list_char(Exp_20,List1_5,List2_5)) # label(fact_845_exp_Osimps_I185_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 925 (all Exp_19 all List1_4 all List2_4 all A_20 all Ty_14 all Exp_18 call_list_char(Exp_19,List1_4,List2_4) != block_list_char(A_20,Ty_14,Exp_18)) # label(fact_846_exp_Osimps_I184_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 926 (all A_19 all Ty_13 all Exp_17 all Exp1_9 all List1_3 all List2_3 all Exp2_9 block_list_char(A_19,Ty_13,Exp_17) != fAss_list_char(Exp1_9,List1_3,List2_3,Exp2_9)) # label(fact_847_exp_Osimps_I173_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 927 (all Exp1_8 all List1_2 all List2_2 all Exp2_8 all A_18 all Ty_12 all Exp_16 fAss_list_char(Exp1_8,List1_2,List2_2,Exp2_8) != block_list_char(A_18,Ty_12,Exp_16)) # label(fact_848_exp_Osimps_I172_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 928 (all A_17 all Ty_11 all Exp_15 all Exp1_7 all Bop_2 all Exp2_7 block_list_char(A_17,Ty_11,Exp_15) != binOp_list_char(Exp1_7,Bop_2,Exp2_7)) # label(fact_849_exp_Osimps_I105_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 929 (all Exp1_6 all Bop_1 all Exp2_6 all A_16 all Ty_10 all Exp_14 binOp_list_char(Exp1_6,Bop_1,Exp2_6) != block_list_char(A_16,Ty_10,Exp_14)) # label(fact_850_exp_Osimps_I104_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 930 (all A_15 all Ty_9 all Exp_13 all Exp1_5 all Exp2_5 all Exp3_1 block_list_char(A_15,Ty_9,Exp_13) != cond_list_char(Exp1_5,Exp2_5,Exp3_1)) # label(fact_851_exp_Osimps_I198_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 931 (all Exp1_4 all Exp2_4 all Exp3 all A_14 all Ty_8 all Exp_12 cond_list_char(Exp1_4,Exp2_4,Exp3) != block_list_char(A_14,Ty_8,Exp_12)) # label(fact_852_exp_Osimps_I199_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 932 (all A_13 all Ty_7 all Exp_11 all List_7 all Exp_10 block_list_char(A_13,Ty_7,Exp_11) != cast_list_char(List_7,Exp_10)) # label(fact_853_exp_Osimps_I59_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 933 (all List_6 all Exp_9 all A_12 all Ty_6 all Exp_8 cast_list_char(List_6,Exp_9) != block_list_char(A_12,Ty_6,Exp_8)) # label(fact_854_exp_Osimps_I58_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 934 (all A_11 all Ty_5 all Exp_7 all Exp_6 all List1_1 all List2_1 block_list_char(A_11,Ty_5,Exp_7) != fAcc_list_char(Exp_6,List1_1,List2_1)) # label(fact_855_exp_Osimps_I159_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 935 (all Exp_5 all List1 all List2 all A_10 all Ty_4 all Exp_4 fAcc_list_char(Exp_5,List1,List2) != block_list_char(A_10,Ty_4,Exp_4)) # label(fact_856_exp_Osimps_I158_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 936 (all Exp1_3 all Exp2_3 all A_9 all Ty_3 all Exp_3 while_list_char(Exp1_3,Exp2_3) != block_list_char(A_9,Ty_3,Exp_3)) # label(fact_857_exp_Osimps_I201_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 937 (all A_8 all Ty_2 all Exp_2 all Exp1_2 all Exp2_2 block_list_char(A_8,Ty_2,Exp_2) != while_list_char(Exp1_2,Exp2_2)) # label(fact_858_exp_Osimps_I200_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 938 (all Exp1_1 all List_5 all A_7 all Exp2_1 all A_6 all Ty_1 all Exp_1 tryCatch_list_char(Exp1_1,List_5,A_7,Exp2_1) != block_list_char(A_6,Ty_1,Exp_1)) # label(fact_859_exp_Osimps_I205_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 939 (all A_5 all Ty all Exp all Exp1 all List_4 all A_4 all Exp2 block_list_char(A_5,Ty,Exp) != tryCatch_list_char(Exp1,List_4,A_4,Exp2)) # label(fact_860_exp_Osimps_I204_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 940 (all Pa all V all T_3 all V_1 all U all S_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V,T_3,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),hAPP_v834067052t_char(val_list_char,U))),S_1),hAPP_v834067052t_char(val_list_char,U)),S_1))) # label(fact_861_redp__redsp_ORedInitBlock) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 941 (all Pa all V_1 all E_2 all S_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,seq_list_char(hAPP_v834067052t_char(val_list_char,V_1),E_2),S_1),E_2),S_1))) # label(fact_862_redp__redsp_ORedSeq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 942 (all V_1 all F all D all Pa all Ea all S_1 all E_a all S (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S_1),E_a),S)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(hAPP_v834067052t_char(val_list_char,V_1),F,D,Ea),S_1),fAss_list_char(hAPP_v834067052t_char(val_list_char,V_1),F,D,E_a)),S)))) # label(fact_863_redp__redsp_OFAssRed2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 943 (all V_1_1 all Bop all Pa all Ea all S_1 all E_a all S (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S_1),E_a),S)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_1),Bop,Ea),S_1),binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_1),Bop,E_a)),S)))) # label(fact_864_redp__redsp_OBinOpRed2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 944 (all Pa all Ea all E_2 all S_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,seq_list_char(throw_list_char(Ea),E_2),S_1),throw_list_char(Ea)),S_1))) # label(fact_865_redp__redsp_OSeqThrow) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 945 (all Pa all V all Ea all S_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,lAss_list_char(V,throw_list_char(Ea)),S_1),throw_list_char(Ea)),S_1))) # label(fact_866_redp__redsp_OLAssThrow) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 946 (all Pa all Ea all M all Esa all S_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(throw_list_char(Ea),M,Esa),S_1),throw_list_char(Ea)),S_1))) # label(fact_867_redp__redsp_OCallThrowObj) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 947 (all Pa all Ea all F all D all E_2 all S_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(throw_list_char(Ea),F,D,E_2),S_1),throw_list_char(Ea)),S_1))) # label(fact_868_redp__redsp_OFAssThrow1) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 948 (all Pa all Ea all Bop all E_2 all S_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,binOp_list_char(throw_list_char(Ea),Bop,E_2),S_1),throw_list_char(Ea)),S_1))) # label(fact_869_redp__redsp_OBinOpThrow1) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 949 (all Pa all Ea all E_1_1 all E_2 all S_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cond_list_char(throw_list_char(Ea),E_1_1,E_2),S_1),throw_list_char(Ea)),S_1))) # label(fact_870_redp__redsp_OCondThrow) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 950 (all Pa all C all Ea all S_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cast_list_char(C,throw_list_char(Ea)),S_1),throw_list_char(Ea)),S_1))) # label(fact_871_redp__redsp_OCastThrow) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 951 (all Pa all V_1 all C all V all E_2 all S_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,tryCatch_list_char(hAPP_v834067052t_char(val_list_char,V_1),C,V,E_2),S_1),hAPP_v834067052t_char(val_list_char,V_1)),S_1))) # label(fact_872_redp__redsp_ORedTry) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 952 (all Pa all Ea all F all D all S_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAcc_list_char(throw_list_char(Ea),F,D),S_1),throw_list_char(Ea)),S_1))) # label(fact_873_redp__redsp_OFAccThrow) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 953 (all Pa all V_1 all F all D all Ea all S_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(hAPP_v834067052t_char(val_list_char,V_1),F,D,throw_list_char(Ea)),S_1),throw_list_char(Ea)),S_1))) # label(fact_874_redp__redsp_OFAssThrow2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 954 (all Pa all V_1_1 all Bop all Ea all S_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_1),Bop,throw_list_char(Ea)),S_1),throw_list_char(Ea)),S_1))) # label(fact_875_redp__redsp_OBinOpThrow2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 955 (all Pa all C all S_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cast_list_char(C,hAPP_v834067052t_char(val_list_char,null)),S_1),hAPP_v834067052t_char(val_list_char,null)),S_1))) # label(fact_876_redp__redsp_ORedCastNull) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 956 (all Pa all E_1_1 all E_2 all S_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cond_list_char(hAPP_v834067052t_char(val_list_char,bool(fTrue)),E_1_1,E_2),S_1),E_1_1),S_1))) # label(fact_877_redp__redsp_ORedCondT) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 957 (all Pa all E_1_1 all E_2 all S_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cond_list_char(hAPP_v834067052t_char(val_list_char,bool(fFalse)),E_1_1,E_2),S_1),E_2),S_1))) # label(fact_878_redp__redsp_ORedCondF) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 958 (all A all List_3 all A_3 all List_2 (cons_val(A,List_3) = cons_val(A_3,List_2) <-> A = A_3 & List_3 = List_2)) # label(fact_879_list_Oinject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 959 (all A all List_3 all A_3 all List_2 (cons_ty(A,List_3) = cons_ty(A_3,List_2) <-> A = A_3 & List_3 = List_2)) # label(fact_880_list_Oinject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 960 (all A all List_3 all A_3 all List_2 (cons_list_char(A,List_3) = cons_list_char(A_3,List_2) <-> A = A_3 & List_3 = List_2)) # label(fact_881_list_Oinject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 961 (all A all List_3 all A_3 all List_2 (cons_exp_list_char(A,List_3) = cons_exp_list_char(A_3,List_2) <-> A = A_3 & List_3 = List_2)) # label(fact_882_list_Oinject) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 962 (all X_4 all Xs_4 cons_val(X_4,Xs_4) != Xs_4) # label(fact_883_not__Cons__self2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 963 (all X_4 all Xs_4 cons_ty(X_4,Xs_4) != Xs_4) # label(fact_884_not__Cons__self2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 964 (all X_4 all Xs_4 cons_list_char(X_4,Xs_4) != Xs_4) # label(fact_885_not__Cons__self2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 965 (all X_4 all Xs_4 cons_exp_list_char(X_4,Xs_4) != Xs_4) # label(fact_886_not__Cons__self2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 966 (all Xs_3 all X_3 Xs_3 != cons_val(X_3,Xs_3)) # label(fact_887_not__Cons__self) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 967 (all Xs_3 all X_3 Xs_3 != cons_ty(X_3,Xs_3)) # label(fact_888_not__Cons__self) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 968 (all Xs_3 all X_3 Xs_3 != cons_list_char(X_3,Xs_3)) # label(fact_889_not__Cons__self) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 969 (all Xs_3 all X_3 Xs_3 != cons_exp_list_char(X_3,Xs_3)) # label(fact_890_not__Cons__self) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 970 (all Ys_2 all Us_1 all Xs_2 all Xs1 all Zs_3 (append590652462har_ty(Xs_2,Xs1) = Zs_3 -> (Ys_2 = append590652462har_ty(Xs1,Us_1) -> append590652462har_ty(Xs_2,Ys_2) = append590652462har_ty(Zs_3,Us_1)))) # label(fact_891_append__eq__appendI) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 971 (all Ys_2 all Us_1 all Xs_2 all Xs1 all Zs_3 (append_exp_list_char(Xs_2,Xs1) = Zs_3 -> (Ys_2 = append_exp_list_char(Xs1,Us_1) -> append_exp_list_char(Xs_2,Ys_2) = append_exp_list_char(Zs_3,Us_1)))) # label(fact_892_append__eq__appendI) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 972 (all Ys all Xs all Zs_2 (append590652462har_ty(Ys,Xs) = append590652462har_ty(Zs_2,Xs) <-> Ys = Zs_2)) # label(fact_893_append__same__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 973 (all Ys all Xs all Zs_2 (append_exp_list_char(Ys,Xs) = append_exp_list_char(Zs_2,Xs) <-> Ys = Zs_2)) # label(fact_894_append__same__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 974 (all Xs all Ys all Zs_2 (append590652462har_ty(Xs,Ys) = append590652462har_ty(Xs,Zs_2) <-> Ys = Zs_2)) # label(fact_895_same__append__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 975 (all Xs all Ys all Zs_2 (append_exp_list_char(Xs,Ys) = append_exp_list_char(Xs,Zs_2) <-> Ys = Zs_2)) # label(fact_896_same__append__eq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 976 (all Xs all Ys all Zs_2 all Ts_3 (append590652462har_ty(Xs,Ys) = append590652462har_ty(Zs_2,Ts_3) <-> (exists Us (Xs = append590652462har_ty(Zs_2,Us) & append590652462har_ty(Us,Ys) = Ts_3 | append590652462har_ty(Xs,Us) = Zs_2 & Ys = append590652462har_ty(Us,Ts_3))))) # label(fact_897_append__eq__append__conv2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 977 (all Xs all Ys all Zs_2 all Ts_3 (append_exp_list_char(Xs,Ys) = append_exp_list_char(Zs_2,Ts_3) <-> (exists Us (Xs = append_exp_list_char(Zs_2,Us) & append_exp_list_char(Us,Ys) = Ts_3 | append_exp_list_char(Xs,Us) = Zs_2 & Ys = append_exp_list_char(Us,Ts_3))))) # label(fact_898_append__eq__append__conv2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 978 (all Xs_1 all Ys_1 all Zs_1 append590652462har_ty(append590652462har_ty(Xs_1,Ys_1),Zs_1) = append590652462har_ty(Xs_1,append590652462har_ty(Ys_1,Zs_1))) # label(fact_899_append__assoc) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 979 (all Xs_1 all Ys_1 all Zs_1 append_exp_list_char(append_exp_list_char(Xs_1,Ys_1),Zs_1) = append_exp_list_char(Xs_1,append_exp_list_char(Ys_1,Zs_1))) # label(fact_900_append__assoc) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 980 (all V all T_3 all U all S_1 all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(block_list_char(V,T_3,hAPP_v834067052t_char(val_list_char,U)),S_1),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,U),S_1)),red(Pa)))) # label(fact_901_red__reds_ORedBlock) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 981 (all Pa all B all C_1 all S_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,while_list_char(B,C_1),S_1),cond_list_char(B,seq_list_char(C_1,while_list_char(B,C_1)),hAPP_v834067052t_char(val_list_char,unit))),S_1))) # label(fact_902_redp__redsp_ORedWhile) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 982 (all Es_2 all E_7 (-hBOOL(final_list_char(E_7)) -> -hBOOL(finals_list_char(cons_exp_list_char(E_7,Es_2))))) # label(fact_903_not__finals__ConsI) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 983 (all X_2 all Xs all F_1 all Ys (cons_P1020158687har_ty(X_2,Xs) = map_Pr1267419400har_ty(F_1,Ys) <-> (exists Z exists Zs (Ys = cons_P796333129har_ty(Z,Zs) & X_2 = hAPP_P385447595har_ty(F_1,Z) & Xs = map_Pr1267419400har_ty(F_1,Zs))))) # label(fact_904_Cons__eq__map__conv) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 984 (all X_2 all Xs all F_1 all Ys (cons_P796333129har_ty(X_2,Xs) = map_Pr1471044963har_ty(F_1,Ys) <-> (exists Z exists Zs (Ys = cons_P306092184har_ty(Z,Zs) & X_2 = hAPP_P71962758har_ty(F_1,Z) & Xs = map_Pr1471044963har_ty(F_1,Zs))))) # label(fact_905_Cons__eq__map__conv) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 985 (all X_2 all Xs all F_1 all Ys (cons_val(X_2,Xs) = map_list_char_val(F_1,Ys) <-> (exists Z exists Zs (Ys = cons_list_char(Z,Zs) & X_2 = hAPP_list_char_val(F_1,Z) & Xs = map_list_char_val(F_1,Zs))))) # label(fact_906_Cons__eq__map__conv) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 986 (all X_2 all Xs all F_1 all Ys (cons_option_ty(X_2,Xs) = map_ty_option_ty(F_1,Ys) <-> (exists Z exists Zs (Ys = cons_ty(Z,Zs) & X_2 = hAPP_ty_option_ty(F_1,Z) & Xs = map_ty_option_ty(F_1,Zs))))) # label(fact_907_Cons__eq__map__conv) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 987 (all X_2 all Xs all F_1 all Ys (cons_option_ty(X_2,Xs) = map_val_option_ty(F_1,Ys) <-> (exists Z exists Zs (Ys = cons_val(Z,Zs) & X_2 = hAPP_val_option_ty(F_1,Z) & Xs = map_val_option_ty(F_1,Zs))))) # label(fact_908_Cons__eq__map__conv) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 988 (all X_2 all Xs all F_1 all Ys (cons_exp_list_char(X_2,Xs) = map_va1934808527t_char(F_1,Ys) <-> (exists Z exists Zs (Ys = cons_val(Z,Zs) & X_2 = hAPP_v834067052t_char(F_1,Z) & Xs = map_va1934808527t_char(F_1,Zs))))) # label(fact_909_Cons__eq__map__conv) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 989 (all F_1 all Xs all Y_1 all Ys (map_Pr1267419400har_ty(F_1,Xs) = cons_P1020158687har_ty(Y_1,Ys) <-> (exists Z exists Zs (Xs = cons_P796333129har_ty(Z,Zs) & hAPP_P385447595har_ty(F_1,Z) = Y_1 & map_Pr1267419400har_ty(F_1,Zs) = Ys)))) # label(fact_910_map__eq__Cons__conv) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 990 (all F_1 all Xs all Y_1 all Ys (map_Pr1471044963har_ty(F_1,Xs) = cons_P796333129har_ty(Y_1,Ys) <-> (exists Z exists Zs (Xs = cons_P306092184har_ty(Z,Zs) & hAPP_P71962758har_ty(F_1,Z) = Y_1 & map_Pr1471044963har_ty(F_1,Zs) = Ys)))) # label(fact_911_map__eq__Cons__conv) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 991 (all F_1 all Xs all Y_1 all Ys (map_list_char_val(F_1,Xs) = cons_val(Y_1,Ys) <-> (exists Z exists Zs (Xs = cons_list_char(Z,Zs) & hAPP_list_char_val(F_1,Z) = Y_1 & map_list_char_val(F_1,Zs) = Ys)))) # label(fact_912_map__eq__Cons__conv) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 992 (all F_1 all Xs all Y_1 all Ys (map_ty_option_ty(F_1,Xs) = cons_option_ty(Y_1,Ys) <-> (exists Z exists Zs (Xs = cons_ty(Z,Zs) & hAPP_ty_option_ty(F_1,Z) = Y_1 & map_ty_option_ty(F_1,Zs) = Ys)))) # label(fact_913_map__eq__Cons__conv) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 993 (all F_1 all Xs all Y_1 all Ys (map_val_option_ty(F_1,Xs) = cons_option_ty(Y_1,Ys) <-> (exists Z exists Zs (Xs = cons_val(Z,Zs) & hAPP_val_option_ty(F_1,Z) = Y_1 & map_val_option_ty(F_1,Zs) = Ys)))) # label(fact_914_map__eq__Cons__conv) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 994 (all F_1 all Xs all Y_1 all Ys (map_va1934808527t_char(F_1,Xs) = cons_exp_list_char(Y_1,Ys) <-> (exists Z exists Zs (Xs = cons_val(Z,Zs) & hAPP_v834067052t_char(F_1,Z) = Y_1 & map_va1934808527t_char(F_1,Zs) = Ys)))) # label(fact_915_map__eq__Cons__conv) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 995 (all V_6 all Vs_4 all T_4 all Ts_2 all V_3 all Vs_3 all E_6 blocks(produc921874948t_char(cons_list_char(V_6,Vs_4),produc1909267824t_char(cons_ty(T_4,Ts_2),produc1916172923t_char(cons_val(V_3,Vs_3),E_6)))) = block_list_char(V_6,T_4,seq_list_char(lAss_list_char(V_6,hAPP_v834067052t_char(val_list_char,V_3)),blocks(produc921874948t_char(Vs_4,produc1909267824t_char(Ts_2,produc1916172923t_char(Vs_3,E_6))))))) # label(fact_916_blocks_Osimps_I1_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 996 (all V all T_3 all V_1 all A all S_1 all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(block_list_char(V,T_3,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_1),produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))),S_1)),red(Pa)))) # label(fact_917_red__reds_OInitBlockThrow) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 997 (all V_1 all M all Pa all Esa all S_1 all Es_a all S (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(Pa,Esa,S_1),Es_a),S)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(hAPP_v834067052t_char(val_list_char,V_1),M,Esa),S_1),call_list_char(hAPP_v834067052t_char(val_list_char,V_1),M,Es_a)),S)))) # label(fact_918_redp__redsp_OCallParams) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 998 (all Nat_2 all Nat_1 (addr(Nat_2) = addr(Nat_1) <-> Nat_2 = Nat_1)) # label(fact_919_val_Osimps_I3_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 999 (all Nat null != addr(Nat)) # label(fact_920_val_Osimps_I16_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1000 (all Nat addr(Nat) != null) # label(fact_921_val_Osimps_I17_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1001 (all Nat_1 all Bool addr(Nat_1) != bool(Bool)) # label(fact_922_val_Osimps_I21_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1002 (all Bool all Nat_1 bool(Bool) != addr(Nat_1)) # label(fact_923_val_Osimps_I20_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1003 (all Nat addr(Nat) != unit) # label(fact_924_val_Osimps_I11_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1004 (all Nat unit != addr(Nat)) # label(fact_925_val_Osimps_I10_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1005 (all Ea (hBOOL(final_list_char(Ea)) <-> (exists V_4 Ea = hAPP_v834067052t_char(val_list_char,V_4)) | (exists A_1 Ea = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)))))) # label(fact_926_final__def) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1006 (all Pa all V all T_3 all A all S_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V,T_3,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S_1),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S_1))) # label(fact_927_redp__redsp_OBlockThrow) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1007 (all V_1 all Pa all Esa all S_1 all Es_a all S (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(Pa,Esa,S_1),Es_a),S)) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(Pa,cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_1),Esa),S_1),cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_1),Es_a)),S)))) # label(fact_928_redp__redsp_OListRed2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1008 (all Esa all Pa all Ea all S_1 all E_a all S (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S_1),E_a),S)) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(Pa,cons_exp_list_char(Ea,Esa),S_1),cons_exp_list_char(E_a,Esa)),S)))) # label(fact_929_redp__redsp_OListRed1) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1009 (all V all T_3 all A all S_1 all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(block_list_char(V,T_3,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S_1),produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))),S_1)),red(Pa)))) # label(fact_930_red__reds_OBlockThrow) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1010 (all Pa all V all T_3 all V_1 all A all S_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V,T_3,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_1),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S_1))) # label(fact_931_redp__redsp_OInitBlockThrow) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1011 (all Esa (hBOOL(finals_list_char(Esa)) <-> (exists Vs_2 Esa = map_va1934808527t_char(val_list_char,Vs_2)) | (exists Vs_2 exists A_1 exists Es_1 Esa = append_exp_list_char(map_va1934808527t_char(val_list_char,Vs_2),cons_exp_list_char(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1))),Es_1))))) # label(fact_932_finals__def) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1012 (all M all Esa all Vs_1 all S_2_1 all Ea all S_0 all S_1_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_0),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,null),S_1_1)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Esa,S_1_1),produc379668296on_val(map_va1934808527t_char(val_list_char,Vs_1),S_2_1)),transi374442731on_val(reds(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(call_list_char(Ea,M,Esa),S_0),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_933_CallRedsNull) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1013 (all E_5 (hBOOL(final_list_char(E_5)) -> ((all V_4 E_5 != hAPP_v834067052t_char(val_list_char,V_4)) -> -(all A_1 E_5 != throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1))))))) # label(fact_934_finalE) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1014 (all Esa all Ts all Pa all Ha all E_1 all Ea all T_3 (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,Ea),T_3)) -> (hBOOL(wTrts(Pa,Ha,E_1,Esa,Ts)) -> hBOOL(wTrts(Pa,Ha,E_1,cons_exp_list_char(Ea,Esa),cons_ty(T_3,Ts)))))) # label(fact_935_WTrtCons) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1015 (all M all Vs_1 all S_1 all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(call_list_char(hAPP_v834067052t_char(val_list_char,null),M,map_va1934808527t_char(val_list_char,Vs_1)),S_1),produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer)))),S_1)),red(Pa)))) # label(fact_936_red__reds_ORedCallNull) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1016 (all H_a all Pa all Ha all E_1 all Esa all Ts (hBOOL(wTrts(Pa,Ha,E_1,Esa,Ts)) -> (hBOOL(hext(Ha,H_a)) -> hBOOL(wTrts(Pa,H_a,E_1,Esa,Ts))))) # label(fact_937_WTrts__hext__mono) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1017 (all Pa all S_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,throw_list_char(hAPP_v834067052t_char(val_list_char,null)),S_1),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_1))) # label(fact_938_redp__redsp_ORedThrowNull) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1018 (all Pa all F all D all V_1 all S_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(hAPP_v834067052t_char(val_list_char,null),F,D,hAPP_v834067052t_char(val_list_char,V_1)),S_1),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_1))) # label(fact_939_redp__redsp_ORedFAssNull) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1019 (all Pa all F all D all S_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAcc_list_char(hAPP_v834067052t_char(val_list_char,null),F,D),S_1),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_1))) # label(fact_940_redp__redsp_ORedFAccNull) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1020 (all S_1 all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,null)),S_1),produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer)))),S_1)),red(Pa)))) # label(fact_941_red__reds_ORedThrowNull) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1021 (all Pa all M all Vs_1 all S_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(hAPP_v834067052t_char(val_list_char,null),M,map_va1934808527t_char(val_list_char,Vs_1)),S_1),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_1))) # label(fact_942_redp__redsp_ORedCallNull) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1022 (all Ea all S_1 all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,null),S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(throw_list_char(Ea),S_1),produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer)))),S)),transi2024712006on_val(red(Pa)))))) # label(fact_943_ThrowRedsNull) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1023 (all F all D all V_1 all S_1 all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAss_list_char(hAPP_v834067052t_char(val_list_char,null),F,D,hAPP_v834067052t_char(val_list_char,V_1)),S_1),produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer)))),S_1)),red(Pa)))) # label(fact_944_red__reds_ORedFAssNull) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1024 (all F all D all S_1 all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAcc_list_char(hAPP_v834067052t_char(val_list_char,null),F,D),S_1),produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer)))),S_1)),red(Pa)))) # label(fact_945_red__reds_ORedFAccNull) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1025 (all F all D all E_2 all V_1 all S_2_1 all E_1_1 all S_0 all S_1_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_1_1,S_0),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,null),S_1_1)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_2,S_1_1),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1),S_2_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAss_list_char(E_1_1,F,D,E_2),S_0),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_946_FAssRedsNull) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1026 (all F all D all Ea all S_1 all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,null),S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAcc_list_char(Ea,F,D),S_1),produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer)))),S)),transi2024712006on_val(red(Pa)))))) # label(fact_947_FAccRedsNull) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1027 (all F all D all Pa all Ea all S_0 all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAcc_list_char(Ea,F,D),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_1_1)))) # label(fact_948_FAccNull) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1028 (all F all D all E_2 all V_1 all S_2_1 all Pa all E_1_1 all S_0 all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1_1)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_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_1,F,D,E_2),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_2_1))))) # label(fact_949_FAssNull) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1029 (all Pa all Ea all S_0 all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(Ea),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_1_1)))) # label(fact_950_ThrowNull) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1030 (all A_2 the_Addr(addr(A_2)) = A_2) # label(fact_951_the__Addr_Osimps) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1031 (all Pa all B all C_1 all S_1 all E_a all S (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(B,C_1),S_1),E_a),S)) <-> 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_1),E_a),S)))) # label(fact_952_unfold__while) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1032 (all Pa all Ea all S_0 all E_a all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),throw_list_char(E_a)),S_1_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(Ea),S_0),throw_list_char(E_a)),S_1_1)))) # label(fact_953_eval__evals_OThrowThrow) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1033 (all Pa all V_1 all S_1 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,hAPP_v834067052t_char(val_list_char,V_1),S_1),hAPP_v834067052t_char(val_list_char,V_1)),S_1))) # label(fact_954_Val) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1034 (all Pa all V_1 all S_1 all E_a all S (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,hAPP_v834067052t_char(val_list_char,V_1),S_1),E_a),S)) -> -(E_a = hAPP_v834067052t_char(val_list_char,V_1) -> S != S_1))) # label(fact_955_eval__cases_I2_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1035 (all Pa all S_1 all Ea (hBOOL(final_list_char(Ea)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),Ea),S_1)))) # label(fact_956_eval__finalId) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1036 (all Pa all Ea all S_1 all E_a all S (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),E_a),S)) -> hBOOL(final_list_char(E_a)))) # label(fact_957_eval__final) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1037 (all E_1_1 all E_2 all S_2_1 all Pa all E_0 all S_0 all V_1 all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_0,S_0),hAPP_v834067052t_char(val_list_char,V_1)),S_1_1)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_1_1),E_2),S_2_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,seq_list_char(E_0,E_1_1),S_0),E_2),S_2_1))))) # label(fact_958_Seq) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1038 (all E_1_1 all Pa all E_0 all S_0 all Ea all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_0,S_0),throw_list_char(Ea)),S_1_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,seq_list_char(E_0,E_1_1),S_0),throw_list_char(Ea)),S_1_1)))) # label(fact_959_eval__evals_OSeqThrow) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1039 (all V all Pa all Ea all S_0 all E_a all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),throw_list_char(E_a)),S_1_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,lAss_list_char(V,Ea),S_0),throw_list_char(E_a)),S_1_1)))) # label(fact_960_eval__evals_OLAssThrow) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1040 (all F all D all E_2 all Pa all E_1_1 all S_0 all E_a all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),throw_list_char(E_a)),S_1_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAss_list_char(E_1_1,F,D,E_2),S_0),throw_list_char(E_a)),S_1_1)))) # label(fact_961_eval__evals_OFAssThrow1) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1041 (all M all Ps all Pa all Ea all S_0 all E_a all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),throw_list_char(E_a)),S_1_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,call_list_char(Ea,M,Ps),S_0),throw_list_char(E_a)),S_1_1)))) # label(fact_962_CallObjThrow) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1042 (all Bop all E_2 all Pa all E_1_1 all S_0 all Ea all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),throw_list_char(Ea)),S_1_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,binOp_list_char(E_1_1,Bop,E_2),S_0),throw_list_char(Ea)),S_1_1)))) # label(fact_963_eval__evals_OBinOpThrow1) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1043 (all C all Pa all Ea all S_0 all E_a all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),throw_list_char(E_a)),S_1_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cast_list_char(C,Ea),S_0),throw_list_char(E_a)),S_1_1)))) # label(fact_964_eval__evals_OCastThrow) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1044 (all E_1_1 all E_2 all Pa all Ea all S_0 all E_a all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),throw_list_char(E_a)),S_1_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(Ea,E_1_1,E_2),S_0),throw_list_char(E_a)),S_1_1)))) # label(fact_965_eval__evals_OCondThrow) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1045 (all C all V all E_2 all Pa all E_1_1 all S_0 all V_1_1 all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),hAPP_v834067052t_char(val_list_char,V_1_1)),S_1_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,tryCatch_list_char(E_1_1,C,V,E_2),S_0),hAPP_v834067052t_char(val_list_char,V_1_1)),S_1_1)))) # label(fact_966_Try) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1046 (all F all D all Pa all Ea all S_0 all E_a all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),throw_list_char(E_a)),S_1_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAcc_list_char(Ea,F,D),S_0),throw_list_char(E_a)),S_1_1)))) # label(fact_967_eval__evals_OFAccThrow) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1047 (all C_1 all Pa all Ea all S_0 all E_a all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),throw_list_char(E_a)),S_1_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Ea,C_1),S_0),throw_list_char(E_a)),S_1_1)))) # label(fact_968_WhileCondThrow) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1048 (all Pa all Ea all Ha all La all E_a all H_a all L_a (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,produc899768717on_val(Ha,La)),E_a),produc899768717on_val(H_a,L_a))) -> hBOOL(hext(Ha,H_a)))) # label(fact_969_eval__hext) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1049 (all Pa all Ea all S_0 all A all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,addr(A))),S_1_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(Ea),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S_1_1)))) # label(fact_970_Throw) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1050 (all F all D all E_2 all E_a all S_2_1 all Pa all E_1_1 all S_0 all V_1 all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),hAPP_v834067052t_char(val_list_char,V_1)),S_1_1)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_1),throw_list_char(E_a)),S_2_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAss_list_char(E_1_1,F,D,E_2),S_0),throw_list_char(E_a)),S_2_1))))) # label(fact_971_eval__evals_OFAssThrow2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1051 (all Bop all E_2 all Ea all S_2_1 all Pa all E_1_1 all S_0 all V_1_1 all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),hAPP_v834067052t_char(val_list_char,V_1_1)),S_1_1)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_1),throw_list_char(Ea)),S_2_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,binOp_list_char(E_1_1,Bop,E_2),S_0),throw_list_char(Ea)),S_2_1))))) # label(fact_972_eval__evals_OBinOpThrow2) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1052 (all C all Pa all Ea all S_0 all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cast_list_char(C,Ea),S_0),hAPP_v834067052t_char(val_list_char,null)),S_1_1)))) # label(fact_973_CastNull) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1053 (all E_2 all E_1_1 all E_a all S_2_1 all Pa all Ea all S_0 all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1_1)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_1_1),E_a),S_2_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(Ea,E_1_1,E_2),S_0),E_a),S_2_1))))) # label(fact_974_CondT) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1054 (all E_1_1 all E_2 all E_a all S_2_1 all Pa all Ea all S_0 all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),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_a),S_2_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(Ea,E_1_1,E_2),S_0),E_a),S_2_1))))) # label(fact_975_CondF) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1055 (all E_3_1 all S_3 all C_1 all V_1_1 all S_2_1 all Pa all Ea all S_0 all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),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),hAPP_v834067052t_char(val_list_char,V_1_1)),S_2_1)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Ea,C_1),S_2_1),E_3_1),S_3)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Ea,C_1),S_0),E_3_1),S_3)))))) # label(fact_976_WhileT) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1056 (all C_1 all E_a all S_2_1 all Pa all Ea all S_0 all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),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_a)),S_2_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Ea,C_1),S_0),throw_list_char(E_a)),S_2_1))))) # label(fact_977_WhileBodyThrow) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1057 (all C_1 all Pa all Ea all S_0 all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,bool(fFalse))),S_1_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Ea,C_1),S_0),hAPP_v834067052t_char(val_list_char,unit)),S_1_1)))) # label(fact_978_WhileF) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1058 (all Pa all Ea all S_1 all E_a all S (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(Ea),S_1),E_a),S)) -> ((all A_1 (E_a = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1))) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),hAPP_v834067052t_char(val_list_char,addr(A_1))),S)))) -> ((E_a = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer)))) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),hAPP_v834067052t_char(val_list_char,null)),S))) -> -(all E_3 (E_a = throw_list_char(E_3) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),throw_list_char(E_3)),S)))))))) # label(fact_979_eval__cases_I12_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1059 (all M all Ps all Vs_1 all S_2_1 all Pa all Ea all S_0 all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1_1)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Ps,S_1_1),map_va1934808527t_char(val_list_char,Vs_1)),S_2_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,call_list_char(Ea,M,Ps),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_2_1))))) # label(fact_980_CallNull) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1060 (all M all Esa all Vs_1 all Ex all Es_a all S_2_1 all Pa all Ea all S_0 all V_1 all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,V_1)),S_1_1)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S_1_1),append_exp_list_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(Ea,M,Esa),S_0),throw_list_char(Ex)),S_2_1))))) # label(fact_981_CallParamsThrow) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1061 (all Vs_1 all Es_a all Pa all X_2 all S_1 all E_a all S (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(X_2),S_1),E_a),S)) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,append_exp_list_char(map_va1934808527t_char(val_list_char,Vs_1),cons_exp_list_char(throw_list_char(X_2),Es_a)),S_1),append_exp_list_char(map_va1934808527t_char(val_list_char,Vs_1),cons_exp_list_char(E_a,Es_a))),S)))) # label(fact_982_list__eval__Throw) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1062 (all Pa all B all C_1 all S_1 all E_a all S (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(B,C_1),S_1),E_a),S)) -> ((E_a = hAPP_v834067052t_char(val_list_char,unit) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,B,S_1),hAPP_v834067052t_char(val_list_char,bool(fFalse))),S))) -> ((all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,B,S_1),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1_2)) -> (all V_1_3 all S_2_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,C_1,S_1_2),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_a),S)))))) -> ((all E_3 (E_a = throw_list_char(E_3) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,B,S_1),throw_list_char(E_3)),S)))) -> -(all S_1_2 all E_3 (E_a = throw_list_char(E_3) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,B,S_1),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1_2)) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,C_1,S_1_2),throw_list_char(E_3)),S)))))))))) # label(fact_983_eval__cases_I11_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.49 1063 (all Pa all S_1 all Esa (hBOOL(finals_list_char(Esa)) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S_1),Esa),S_1)))) # label(fact_984_eval__finalsId) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 1064 (all Pa all Esa all S_1 all Es_a all S (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S_1),Es_a),S)) -> hBOOL(finals_list_char(Es_a)))) # label(fact_985_evals__final) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 1065 (all Pa all Esa all Ha all La all Es_a all H_a all L_a (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,produc899768717on_val(Ha,La)),Es_a),produc899768717on_val(H_a,L_a))) -> hBOOL(hext(Ha,H_a)))) # label(fact_986_evals__hext) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 1066 (all Esa all Es_a all S_2_1 all Pa all Ea all S_0 all V_1 all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,V_1)),S_1_1)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S_1_1),Es_a),S_2_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,cons_exp_list_char(Ea,Esa),S_0),cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_1),Es_a)),S_2_1))))) # label(fact_987_eval__evals_OCons) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 1067 (all Esa all Pa all Ea all S_0 all E_a all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),throw_list_char(E_a)),S_1_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,cons_exp_list_char(Ea,Esa),S_0),cons_exp_list_char(throw_list_char(E_a),Esa)),S_1_1)))) # label(fact_988_ConsThrow) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 1068 (all Pa all Ea all Esa all S_1 all E_a all S (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,cons_exp_list_char(Ea,Esa),S_1),E_a),S)) -> ((all V_4 all S_1_2 all Es_1 (E_a = cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_4),Es_1) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),hAPP_v834067052t_char(val_list_char,V_4)),S_1_2)) -> -hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S_1_2),Es_1),S))))) -> -(all E_3 (E_a = cons_exp_list_char(throw_list_char(E_3),Esa) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),throw_list_char(E_3)),S))))))) # label(fact_989_evals__cases_I2_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 1069 (all Pa all E_1_1 all E_2 all S_1 all E_a all S (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,seq_list_char(E_1_1,E_2),S_1),E_a),S)) -> ((all V_4 all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_1),hAPP_v834067052t_char(val_list_char,V_4)),S_1_2)) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_2),E_a),S)))) -> -(all E_4 (E_a = throw_list_char(E_4) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_1),throw_list_char(E_4)),S))))))) # label(fact_990_eval__cases_I9_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 1070 (all Pa all Ea all E_1_1 all E_2 all S_1 all E_a all S (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(Ea,E_1_1,E_2),S_1),E_a),S)) -> ((all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1_2)) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_1_2),E_a),S)))) -> ((all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),hAPP_v834067052t_char(val_list_char,bool(fFalse))),S_1_2)) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_2),E_a),S)))) -> -(all E_3 (E_a = throw_list_char(E_3) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),throw_list_char(E_3)),S)))))))) # label(fact_991_eval__cases_I10_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 1071 (all T_3 all Ea all Ha all La all V all V_1 all E_a all H_a all L_a all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,produc899768717on_val(Ha,fun_up1149430426on_val(La,V,hAPP_val_option_val(some_val,V_1)))),produc1259058957on_val(E_a,produc899768717on_val(H_a,L_a))),transi2024712006on_val(red(Pa)))) -> (hBOOL(final_list_char(E_a)) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(block_list_char(V,T_3,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),Ea)),produc899768717on_val(Ha,La)),produc1259058957on_val(E_a,produc899768717on_val(H_a,fun_up1149430426on_val(L_a,V,hAPP_l207779698on_val(La,V))))),transi2024712006on_val(red(Pa))))))) # label(fact_992_InitBlockRedsFinal) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 1072 (all M_1 all N all K all Xx (hAPP_l207779698on_val(N,K) = hAPP_val_option_val(some_val,Xx) -> hAPP_l207779698on_val(map_ad325961431ar_val(M_1,N),K) = hAPP_val_option_val(some_val,Xx))) # label(fact_993_map__add__find__right) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 1073 (all F_1 all G all X_2 all Y_1 map_ad1185064968ar_val(F_1,fun_up204312361on_val(G,X_2,hAPP_val_option_val(some_val,Y_1))) = fun_up204312361on_val(map_ad1185064968ar_val(F_1,G),X_2,hAPP_val_option_val(some_val,Y_1))) # label(fact_994_map__add__upd) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 1074 (all F_1 all G all X_2 all Y_1 map_ad61982421on_val(F_1,fun_up2041264236on_val(G,X_2,hAPP_P1510515380on_val(some_P948696889on_val,Y_1))) = fun_up2041264236on_val(map_ad61982421on_val(F_1,G),X_2,hAPP_P1510515380on_val(some_P948696889on_val,Y_1))) # label(fact_995_map__add__upd) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 1075 (all F_1 all G all X_2 all Y_1 map_add_list_char_ty(F_1,fun_up424764369ion_ty(G,X_2,hAPP_ty_option_ty(some_ty,Y_1))) = fun_up424764369ion_ty(map_add_list_char_ty(F_1,G),X_2,hAPP_ty_option_ty(some_ty,Y_1))) # label(fact_996_map__add__upd) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 1076 (all F_1 all G all X_2 all Y_1 map_ad325961431ar_val(F_1,fun_up1149430426on_val(G,X_2,hAPP_val_option_val(some_val,Y_1))) = fun_up1149430426on_val(map_ad325961431ar_val(F_1,G),X_2,hAPP_val_option_val(some_val,Y_1))) # label(fact_997_map__add__upd) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 1077 (all M_1 all A all X_2 all N all Y_1 (fun_up204312361on_val(M_1,A,hAPP_val_option_val(some_val,X_2)) = fun_up204312361on_val(N,A,hAPP_val_option_val(some_val,Y_1)) -> X_2 = Y_1)) # label(fact_998_map__upd__eqD1) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 1078 (all M_1 all A all X_2 all N all Y_1 (fun_up2041264236on_val(M_1,A,hAPP_P1510515380on_val(some_P948696889on_val,X_2)) = fun_up2041264236on_val(N,A,hAPP_P1510515380on_val(some_P948696889on_val,Y_1)) -> X_2 = Y_1)) # label(fact_999_map__upd__eqD1) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 1079 (all M_1 all A all X_2 all N all Y_1 (fun_up424764369ion_ty(M_1,A,hAPP_ty_option_ty(some_ty,X_2)) = fun_up424764369ion_ty(N,A,hAPP_ty_option_ty(some_ty,Y_1)) -> X_2 = Y_1)) # label(fact_1000_map__upd__eqD1) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 1080 (all M_1 all A all X_2 all N all Y_1 (fun_up1149430426on_val(M_1,A,hAPP_val_option_val(some_val,X_2)) = fun_up1149430426on_val(N,A,hAPP_val_option_val(some_val,Y_1)) -> X_2 = Y_1)) # label(fact_1001_map__upd__eqD1) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 1081 (all T_1 all K all X_2 (hAPP_l512744617ion_ty(T_1,K) = hAPP_ty_option_ty(some_ty,X_2) -> fun_up424764369ion_ty(T_1,K,hAPP_ty_option_ty(some_ty,X_2)) = T_1)) # label(fact_1002_map__upd__triv) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 1082 (all T_1 all K all X_2 (hAPP_l207779698on_val(T_1,K) = hAPP_val_option_val(some_val,X_2) -> fun_up1149430426on_val(T_1,K,hAPP_val_option_val(some_val,X_2)) = T_1)) # label(fact_1003_map__upd__triv) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 1083 (all L_a all V all Pa all Ea all S_0 all V_1 all Ha all La (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,V_1)),produc899768717on_val(Ha,La))) -> (L_a = fun_up1149430426on_val(La,V,hAPP_val_option_val(some_val,V_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,lAss_list_char(V,Ea),S_0),hAPP_v834067052t_char(val_list_char,unit)),produc899768717on_val(Ha,L_a)))))) # label(fact_1004_LAss) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 1084 (all Pa all V all V_1 all Ha all La hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),produc899768717on_val(Ha,La)),hAPP_v834067052t_char(val_list_char,unit)),produc899768717on_val(Ha,fun_up1149430426on_val(La,V,hAPP_val_option_val(some_val,V_1)))))) # label(fact_1005_redp__redsp_ORedLAss) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 1085 (all T_3 all V_5 all Pa all Ea all Ha all La all V all V_1 all E_a all H_a all L_a (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,produc899768717on_val(Ha,fun_up1149430426on_val(La,V,hAPP_val_option_val(some_val,V_1)))),E_a),produc899768717on_val(H_a,L_a))) -> (hAPP_l207779698on_val(L_a,V) = hAPP_val_option_val(some_val,V_5) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V,T_3,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),Ea)),produc899768717on_val(Ha,La)),block_list_char(V,T_3,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_5)),E_a))),produc899768717on_val(H_a,fun_up1149430426on_val(L_a,V,hAPP_l207779698on_val(La,V)))))))) # label(fact_1006_redp__redsp_OInitBlockRed) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 1086 (all V all V_1 all Ha all La all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),produc899768717on_val(Ha,La)),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,unit),produc899768717on_val(Ha,fun_up1149430426on_val(La,V,hAPP_val_option_val(some_val,V_1))))),red(Pa)))) # label(fact_1007_red__reds_ORedLAss) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 1087 (all V all Ea all S_1 all V_1 all H_a all L_a all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1),produc899768717on_val(H_a,L_a))),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(lAss_list_char(V,Ea),S_1),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,unit),produc899768717on_val(H_a,fun_up1149430426on_val(L_a,V,hAPP_val_option_val(some_val,V_1))))),transi2024712006on_val(red(Pa)))))) # label(fact_1008_LAssRedsVal) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 1088 (all T_3 all V_5 all Ea all Ha all La all V all V_1 all E_a all H_a all L_a all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,produc899768717on_val(Ha,fun_up1149430426on_val(La,V,hAPP_val_option_val(some_val,V_1)))),produc1259058957on_val(E_a,produc899768717on_val(H_a,L_a))),red(Pa))) -> (hAPP_l207779698on_val(L_a,V) = hAPP_val_option_val(some_val,V_5) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(block_list_char(V,T_3,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),Ea)),produc899768717on_val(Ha,La)),produc1259058957on_val(block_list_char(V,T_3,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_5)),E_a)),produc899768717on_val(H_a,fun_up1149430426on_val(L_a,V,hAPP_l207779698on_val(La,V))))),red(Pa)))))) # label(fact_1009_red__reds_OInitBlockRed) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 1089 (all T_3 all Ea all Ha all La all V all V_1 all E_a all H_a all L_a all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,produc899768717on_val(Ha,fun_up1149430426on_val(La,V,hAPP_val_option_val(some_val,V_1)))),produc1259058957on_val(E_a,produc899768717on_val(H_a,L_a))),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(block_list_char(V,T_3,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),Ea)),produc899768717on_val(Ha,La)),produc1259058957on_val(block_list_char(V,T_3,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,hAPP_option_val_val(the_val,hAPP_l207779698on_val(L_a,V)))),E_a)),produc899768717on_val(H_a,fun_up1149430426on_val(L_a,V,hAPP_l207779698on_val(La,V))))),transi2024712006on_val(red(Pa)))))) # label(fact_1010_InitBlockReds) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 1090 (all Pa all V all Ea all S_1 all E_a all S (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,lAss_list_char(V,Ea),S_1),E_a),S)) -> ((E_a = hAPP_v834067052t_char(val_list_char,unit) -> (all V_4 all H all L_5 (S = produc899768717on_val(H,fun_up1149430426on_val(L_5,V,hAPP_val_option_val(some_val,V_4))) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),hAPP_v834067052t_char(val_list_char,V_4)),produc899768717on_val(H,L_5)))))) -> -(all E_3 (E_a = throw_list_char(E_3) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),throw_list_char(E_3)),S))))))) # label(fact_1011_eval__cases_I4_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 1091 (all Bop all V_1 all E_2 all V_2_1 all S_2_1 all E_1_1 all S_0 all V_1_1 all S_1_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_1_1,S_0),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1_1),S_1_1)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_2,S_1_1),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_2_1),S_2_1)),transi2024712006on_val(red(Pa)))) -> (binop(produc621191550al_val(Bop,product_Pair_val_val(V_1_1,V_2_1))) = hAPP_val_option_val(some_val,V_1) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(binOp_list_char(E_1_1,Bop,E_2),S_0),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1),S_2_1)),transi2024712006on_val(red(Pa)))))))) # label(fact_1012_BinOpRedsVal) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 1092 (all S_1 all Pa all Bop all V_1_1 all V_2_1 all V_1 (binop(produc621191550al_val(Bop,product_Pair_val_val(V_1_1,V_2_1))) = hAPP_val_option_val(some_val,V_1) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_1),Bop,hAPP_v834067052t_char(val_list_char,V_2_1)),S_1),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1),S_1)),red(Pa))))) # label(fact_1013_red__reds_ORedBinOp) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 1093 (all Pa all Ha all E_1 all V all T_3 all Ea all T_7 (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,fun_up424764369ion_ty(E_1,V,hAPP_ty_option_ty(some_ty,T_3)),Ea),T_7)) -> hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,block_list_char(V,T_3,Ea)),T_7)))) # label(fact_1014_WTrtBlock) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 1094 (all Fs_2 all Ha all A all C all Fs (hAPP_n546249108on_val(Ha,A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,Fs)) -> hBOOL(hext(Ha,fun_up2041264236on_val(Ha,A,hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,Fs_2))))))) # label(fact_1015_hext__upd__obj) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 1095 (all H_2_1 all Fs_2 all F all D all C all Fs all E_2 all V_1 all H_2 all L_2 all Pa all E_1_1 all S_0 all A all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),hAPP_v834067052t_char(val_list_char,addr(A))),S_1_1)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_1),hAPP_v834067052t_char(val_list_char,V_1)),produc899768717on_val(H_2,L_2))) -> (hAPP_n546249108on_val(H_2,A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,Fs)) -> (Fs_2 = fun_up204312361on_val(Fs,produc5062597t_char(F,D),hAPP_val_option_val(some_val,V_1)) -> (H_2_1 = fun_up2041264236on_val(H_2,A,hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,Fs_2))) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAss_list_char(E_1_1,F,D,E_2),S_0),hAPP_v834067052t_char(val_list_char,unit)),produc899768717on_val(H_2_1,L_2))))))))) # label(fact_1016_FAss) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 1096 (all Pa all F all D all V_1 all La all Ha all A all C all Fs (hAPP_n546249108on_val(Ha,A) = hAPP_P1510515380on_val(some_P948696889on_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)),F,D,hAPP_v834067052t_char(val_list_char,V_1)),produc899768717on_val(Ha,La)),hAPP_v834067052t_char(val_list_char,unit)),produc899768717on_val(fun_up2041264236on_val(Ha,A,hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,fun_up204312361on_val(Fs,produc5062597t_char(F,D),hAPP_val_option_val(some_val,V_1))))),La))))) # label(fact_1017_redp__redsp_ORedFAss) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 1097 (all F all D all V_1 all La all Pa all Ha all A all C all Fs (hAPP_n546249108on_val(Ha,A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,Fs)) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAss_list_char(hAPP_v834067052t_char(val_list_char,addr(A)),F,D,hAPP_v834067052t_char(val_list_char,V_1)),produc899768717on_val(Ha,La)),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,unit),produc899768717on_val(fun_up2041264236on_val(Ha,A,hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,fun_up204312361on_val(Fs,produc5062597t_char(F,D),hAPP_val_option_val(some_val,V_1))))),La))),red(Pa))))) # label(fact_1018_red__reds_ORedFAss) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 1098 (all F all D all C all Fs all E_2 all V_1 all H_2 all L_2 all E_1_1 all S_0 all A all S_1_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_1_1,S_0),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,addr(A)),S_1_1)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_2,S_1_1),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1),produc899768717on_val(H_2,L_2))),transi2024712006on_val(red(Pa)))) -> (hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,Fs)) = hAPP_n546249108on_val(H_2,A) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAss_list_char(E_1_1,F,D,E_2),S_0),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,unit),produc899768717on_val(fun_up2041264236on_val(H_2,A,hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,fun_up204312361on_val(Fs,produc5062597t_char(F,D),hAPP_val_option_val(some_val,V_1))))),L_2))),transi2024712006on_val(red(Pa)))))))) # label(fact_1019_FAssRedsVal) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 1099 (all F all D all V_1 all C all Fs all Pa all Ea all S_0 all A all Ha all La (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,addr(A))),produc899768717on_val(Ha,La))) -> (hAPP_n546249108on_val(Ha,A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,Fs)) -> (hAPP_P2094403585on_val(Fs,produc5062597t_char(F,D)) = hAPP_val_option_val(some_val,V_1) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAcc_list_char(Ea,F,D),S_0),hAPP_v834067052t_char(val_list_char,V_1)),produc899768717on_val(Ha,La))))))) # label(fact_1020_FAcc) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 1100 (all Bop all V_1 all E_2 all V_2_1 all S_2_1 all Pa all E_1_1 all S_0 all V_1_1 all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),hAPP_v834067052t_char(val_list_char,V_1_1)),S_1_1)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_1),hAPP_v834067052t_char(val_list_char,V_2_1)),S_2_1)) -> (binop(produc621191550al_val(Bop,product_Pair_val_val(V_1_1,V_2_1))) = hAPP_val_option_val(some_val,V_1) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,binOp_list_char(E_1_1,Bop,E_2),S_0),hAPP_v834067052t_char(val_list_char,V_1)),S_2_1)))))) # label(fact_1021_BinOp) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 1101 (all Pa all S_1 all Bop all V_1_1 all V_2_1 all V_1 (binop(produc621191550al_val(Bop,product_Pair_val_val(V_1_1,V_2_1))) = 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_1),Bop,hAPP_v834067052t_char(val_list_char,V_2_1)),S_1),hAPP_v834067052t_char(val_list_char,V_1)),S_1)))) # label(fact_1022_redp__redsp_ORedBinOp) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 1102 (all E_2 all V all E_2_1 all H_2 all L_2 all C all D all Fs all E_1_1 all S_0 all A all H_1 all L_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_1_1,S_0),produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))),produc899768717on_val(H_1,L_1))),transi2024712006on_val(red(Pa)))) -> (hAPP_n546249108on_val(H_1,A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(D,Fs)) -> (hBOOL(member1251428284t_char(produc5062597t_char(D,C),transi1395422419t_char(subcls851966956t_char(Pa)))) -> (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_2,produc899768717on_val(H_1,fun_up1149430426on_val(L_1,V,hAPP_val_option_val(some_val,addr(A))))),produc1259058957on_val(E_2_1,produc899768717on_val(H_2,L_2))),transi2024712006on_val(red(Pa)))) -> (hBOOL(final_list_char(E_2_1)) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(tryCatch_list_char(E_1_1,C,V,E_2),S_0),produc1259058957on_val(E_2_1,produc899768717on_val(H_2,fun_up1149430426on_val(L_2,V,hAPP_l207779698on_val(L_1,V))))),transi2024712006on_val(red(Pa)))))))))) # label(fact_1023_TryCatchRedsFinal) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 1103 (all F all D all V_1 all C all Fs all Ea all S_1 all A all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,addr(A)),S)),transi2024712006on_val(red(Pa)))) -> (hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S),A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,Fs)) -> (hAPP_P2094403585on_val(Fs,produc5062597t_char(F,D)) = hAPP_val_option_val(some_val,V_1) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAcc_list_char(Ea,F,D),S_1),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1),S)),transi2024712006on_val(red(Pa)))))))) # label(fact_1024_FAccRedsVal) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 1104 (all Pa all E_1_1 all Bop all E_2 all S_1 all E_a all S (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,binOp_list_char(E_1_1,Bop,E_2),S_1),E_a),S)) -> ((all V_1_3 all S_1_2 all V_2_2 all V_4 (E_a = hAPP_v834067052t_char(val_list_char,V_4) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_1),hAPP_v834067052t_char(val_list_char,V_1_3)),S_1_2)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_2),hAPP_v834067052t_char(val_list_char,V_2_2)),S)) -> binop(produc621191550al_val(Bop,product_Pair_val_val(V_1_3,V_2_2))) != hAPP_val_option_val(some_val,V_4))))) -> ((all E_4 (E_a = throw_list_char(E_4) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_1),throw_list_char(E_4)),S)))) -> -(all V_1_3 all S_1_2 all E_4 (E_a = throw_list_char(E_4) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_1),hAPP_v834067052t_char(val_list_char,V_1_3)),S_1_2)) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_2),throw_list_char(E_4)),S))))))))) # label(fact_1025_eval__cases_I3_J) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 1105 (all Pa all F all D all V_1 all S_1 all A all C all Fs (hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_1),A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,Fs)) -> (hAPP_P2094403585on_val(Fs,produc5062597t_char(F,D)) = hAPP_val_option_val(some_val,V_1) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAcc_list_char(hAPP_v834067052t_char(val_list_char,addr(A)),F,D),S_1),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1),S_1)),red(Pa)))))) # label(fact_1026_red__reds_ORedFAcc) # label(axiom) # label(non_clause). [assumption].
% 2.22/2.50 1106 (all C all Pa all S_1 all A all D all Fs (hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_1),A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(D,Fs)) -> (hBOOL(member1251428284t_char(produc5062597t_char(D,C),transi1395422419t_char(subcls851966956t_char(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cast_list_char(C,hAPP_v834067052t_char(val_list_char,addr(A))),S_1),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,addr(A)),S_1)),red(Pa)))))) # label(fact_1027_red__reds_ORedCast) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1107 (all V all E_2 all C all Pa all S_1 all A all D all Fs (hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_1),A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(D,Fs)) -> (-hBOOL(member1251428284t_char(produc5062597t_char(D,C),transi1395422419t_char(subcls851966956t_char(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(tryCatch_list_char(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))),C,V,E_2),S_1),produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))),S_1)),red(Pa)))))) # label(fact_1028_red__reds_ORedTryFail) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1108 (all C all D all Fs all Ea all S_1 all A all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,addr(A)),S)),transi2024712006on_val(red(Pa)))) -> (hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S),A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(D,Fs)) -> (hBOOL(member1251428284t_char(produc5062597t_char(D,C),transi1395422419t_char(subcls851966956t_char(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cast_list_char(C,Ea),S_1),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,addr(A)),S)),transi2024712006on_val(red(Pa)))))))) # label(fact_1029_CastRedsAddr) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1109 (all C all D all Fs all Pa all Ea all S_0 all A all Ha all La (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,addr(A))),produc899768717on_val(Ha,La))) -> (hAPP_n546249108on_val(Ha,A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(D,Fs)) -> (hBOOL(member1251428284t_char(produc5062597t_char(D,C),transi1395422419t_char(subcls851966956t_char(Pa)))) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cast_list_char(C,Ea),S_0),hAPP_v834067052t_char(val_list_char,addr(A))),produc899768717on_val(Ha,La))))))) # label(fact_1030_Cast) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1110 (all V all E_2 all C all D all Fs all Pa all E_1_1 all S_0 all A all H_1 all L_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),produc899768717on_val(H_1,L_1))) -> (hAPP_n546249108on_val(H_1,A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(D,Fs)) -> (-hBOOL(member1251428284t_char(produc5062597t_char(D,C),transi1395422419t_char(subcls851966956t_char(Pa)))) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,tryCatch_list_char(E_1_1,C,V,E_2),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),produc899768717on_val(H_1,L_1))))))) # label(fact_1031_TryThrow) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1111 (all Pa all F all D all V_1 all S_1 all A all C all Fs (hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_1),A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,Fs)) -> (hAPP_P2094403585on_val(Fs,produc5062597t_char(F,D)) = 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)),F,D),S_1),hAPP_v834067052t_char(val_list_char,V_1)),S_1))))) # label(fact_1032_redp__redsp_ORedFAcc) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1112 (all E_2 all V all E_2_1 all H_2 all L_2 all C all D all Fs all Pa all E_1_1 all S_0 all A all H_1 all L_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),produc899768717on_val(H_1,L_1))) -> (hAPP_n546249108on_val(H_1,A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(D,Fs)) -> (hBOOL(member1251428284t_char(produc5062597t_char(D,C),transi1395422419t_char(subcls851966956t_char(Pa)))) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,produc899768717on_val(H_1,fun_up1149430426on_val(L_1,V,hAPP_val_option_val(some_val,addr(A))))),E_2_1),produc899768717on_val(H_2,L_2))) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,tryCatch_list_char(E_1_1,C,V,E_2),S_0),E_2_1),produc899768717on_val(H_2,fun_up1149430426on_val(L_2,V,hAPP_l207779698on_val(L_1,V)))))))))) # label(fact_1033_TryCatch) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1113 (all V all E_2 all C all D all Fs all E_1_1 all S_1 all A all Ha all La all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_1_1,S_1),produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))),produc899768717on_val(Ha,La))),transi2024712006on_val(red(Pa)))) -> (hAPP_n546249108on_val(Ha,A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(D,Fs)) -> (-hBOOL(member1251428284t_char(produc5062597t_char(D,C),transi1395422419t_char(subcls851966956t_char(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(tryCatch_list_char(E_1_1,C,V,E_2),S_1),produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))),produc899768717on_val(Ha,La))),transi2024712006on_val(red(Pa)))))))) # label(fact_1034_TryRedsFail) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1114 (all C all D all Fs all Ea all S_1 all A all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,addr(A)),S)),transi2024712006on_val(red(Pa)))) -> (hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S),A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(D,Fs)) -> (-hBOOL(member1251428284t_char(produc5062597t_char(D,C),transi1395422419t_char(subcls851966956t_char(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cast_list_char(C,Ea),S_1),produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(classCast)))),S)),transi2024712006on_val(red(Pa)))))))) # label(fact_1035_CastRedsFail) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1115 (all C all Pa all S_1 all A all D all Fs (hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_1),A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(D,Fs)) -> (-hBOOL(member1251428284t_char(produc5062597t_char(D,C),transi1395422419t_char(subcls851966956t_char(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cast_list_char(C,hAPP_v834067052t_char(val_list_char,addr(A))),S_1),produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(classCast)))),S_1)),red(Pa)))))) # label(fact_1036_red__reds_ORedCastFail) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1116 (all C all D all Fs all Pa all Ea all S_0 all A all Ha all La (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,addr(A))),produc899768717on_val(Ha,La))) -> (hAPP_n546249108on_val(Ha,A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(D,Fs)) -> (-hBOOL(member1251428284t_char(produc5062597t_char(D,C),transi1395422419t_char(subcls851966956t_char(Pa)))) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cast_list_char(C,Ea),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(classCast))))),produc899768717on_val(Ha,La))))))) # label(fact_1037_CastFail) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1117 (all V all E_2 all C all Pa all S_1 all A all D all Fs (hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_1),A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(D,Fs)) -> (hBOOL(member1251428284t_char(produc5062597t_char(D,C),transi1395422419t_char(subcls851966956t_char(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(tryCatch_list_char(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))),C,V,E_2),S_1),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_1)),red(Pa)))))) # label(fact_1038_red__reds_ORedTryCatch) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1118 (all Ha all H_a (hBOOL(hext(Ha,H_a)) <-> (all A_1 all C_2 all Fs_1 (hAPP_n546249108on_val(Ha,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C_2,Fs_1)) -> (exists Fs_3 hAPP_n546249108on_val(H_a,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C_2,Fs_3))))))) # label(fact_1039_hext__def) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1119 (all A all C all Fs all Ha all H_a (hBOOL(hext(Ha,H_a)) -> (hAPP_n546249108on_val(Ha,A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,Fs)) -> (exists Fs_3 hAPP_n546249108on_val(H_a,A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,Fs_3)))))) # label(fact_1040_hext__objD) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1120 (all Pa all Ha all E_1 all Ea all T_3 (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,Ea),T_3)) -> (hBOOL(hAPP_ty_bool(is_refT,T_3)) -> (hBOOL(final_list_char(Ea)) -> (Ea != hAPP_v834067052t_char(val_list_char,null) -> (((exists A_1 Ea = hAPP_v834067052t_char(val_list_char,addr(A_1))) -> (all C_2 T_3 != hAPP_list_char_ty(class,C_2))) -> -(all A_1 Ea != throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)))))))))) # label(fact_1041_finalRefE) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1121 (all V_1_1 all V_2_1 binop(produc621191550al_val(c_Expr_Obop_OEq,product_Pair_val_val(V_1_1,V_2_1))) = hAPP_val_option_val(some_val,bool(hAPP_val_bool(hAPP_v1392248405l_bool(fequal_val,V_1_1),V_2_1)))) # label(fact_1042_binop_Osimps_I1_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1122 (all Pa all Ha all E_1 all Ea all C (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,Ea),hAPP_list_char_ty(class,C))) -> (hBOOL(final_list_char(Ea)) -> ((all A_1 Ea != hAPP_v834067052t_char(val_list_char,addr(A_1))) -> -(all A_1 Ea != throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)))))))) # label(fact_1043_final__addrE) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1123 (all V all E_2 all Pa all C all S_1 all A all D all Fs (hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_1),A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(D,Fs)) -> (hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(transi1065307915t_char(subcls744239332t_char(Pa)),D),C)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,tryCatch_list_char(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))),C,V,E_2),S_1),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_1))))) # label(fact_1044_redp__redsp_ORedTryCatch) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1124 (all T_3 all H_0 all L_0 all V all E_0 all S_0 all E_2 all H_2 all L_2 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_0,S_0),produc1259058957on_val(E_2,produc899768717on_val(H_2,L_2))),transi2024712006on_val(red(Pa)))) -> (hBOOL(final_list_char(E_2)) -> (S_0 = produc899768717on_val(H_0,fun_up1149430426on_val(L_0,V,none_val)) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(block_list_char(V,T_3,E_0),produc899768717on_val(H_0,L_0)),produc1259058957on_val(E_2,produc899768717on_val(H_2,fun_up1149430426on_val(L_2,V,hAPP_l207779698on_val(L_0,V))))),transi2024712006on_val(red(Pa)))))))) # label(fact_1045_BlockRedsFinal) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1125 (all C all Pa all Ha all E_1 all Ea all T_3 (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,Ea),T_3)) -> (hBOOL(hAPP_ty_bool(is_refT,T_3)) -> (hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),C)) -> hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,cast_list_char(C,Ea)),hAPP_list_char_ty(class,C))))))) # label(fact_1046_WTrtCast) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1126 (all T_3 all Pa all E_0 all H_0 all L_0 all V all E_1_1 all H_1 all L_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_0,produc899768717on_val(H_0,fun_up1149430426on_val(L_0,V,none_val))),E_1_1),produc899768717on_val(H_1,L_1))) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,block_list_char(V,T_3,E_0),produc899768717on_val(H_0,L_0)),E_1_1),produc899768717on_val(H_1,fun_up1149430426on_val(L_1,V,hAPP_l207779698on_val(L_0,V))))))) # label(fact_1047_Block) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1127 (all Pa all C all S_1 all A all D all Fs (hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_1),A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(D,Fs)) -> (hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(transi1065307915t_char(subcls744239332t_char(Pa)),D),C)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cast_list_char(C,hAPP_v834067052t_char(val_list_char,addr(A))),S_1),hAPP_v834067052t_char(val_list_char,addr(A))),S_1))))) # label(fact_1048_redp__redsp_ORedCast) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1128 (all V all E_2 all Pa all C all S_1 all A all D all Fs (hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_1),A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(D,Fs)) -> (-hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(transi1065307915t_char(subcls744239332t_char(Pa)),D),C)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,tryCatch_list_char(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))),C,V,E_2),S_1),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S_1))))) # label(fact_1049_redp__redsp_ORedTryFail) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1129 (all Pa all C all S_1 all A all D all Fs (hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_1),A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(D,Fs)) -> (-hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(transi1065307915t_char(subcls744239332t_char(Pa)),D),C)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cast_list_char(C,hAPP_v834067052t_char(val_list_char,addr(A))),S_1),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(classCast))))),S_1))))) # label(fact_1050_redp__redsp_ORedCastFail) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1130 (all Pa all Ha all E_1 all D all Ea all T_3 (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,cast_list_char(D,Ea)),T_3)) -> -(T_3 = hAPP_list_char_ty(class,D) -> (all T_5 (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,Ea),T_5)) -> (hBOOL(hAPP_ty_bool(is_refT,T_5)) -> -hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),D)))))))) # label(fact_1051_WTrt__elim__cases_I6_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1131 (all T_3 all V_1 all Ea all Ha all La all V all E_a all H_a all L_a all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,produc899768717on_val(Ha,fun_up1149430426on_val(La,V,none_val))),produc1259058957on_val(E_a,produc899768717on_val(H_a,L_a))),red(Pa))) -> (hAPP_l207779698on_val(L_a,V) = hAPP_val_option_val(some_val,V_1) -> (-hBOOL(assigned(V,Ea)) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(block_list_char(V,T_3,Ea),produc899768717on_val(Ha,La)),produc1259058957on_val(block_list_char(V,T_3,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),E_a)),produc899768717on_val(H_a,fun_up1149430426on_val(L_a,V,hAPP_l207779698on_val(La,V))))),red(Pa))))))) # label(fact_1052_red__reds_OBlockRedSome) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1132 (all T_3 all V_1 all Pa all Ea all Ha all La all V all E_a all H_a all L_a (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,produc899768717on_val(Ha,fun_up1149430426on_val(La,V,none_val))),E_a),produc899768717on_val(H_a,L_a))) -> (hAPP_l207779698on_val(L_a,V) = hAPP_val_option_val(some_val,V_1) -> (-hBOOL(assigned(V,Ea)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V,T_3,Ea),produc899768717on_val(Ha,La)),block_list_char(V,T_3,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),E_a))),produc899768717on_val(H_a,fun_up1149430426on_val(L_a,V,hAPP_l207779698on_val(La,V))))))))) # label(fact_1053_redp__redsp_OBlockRedSome) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1133 (all Pa all V all T_3 all E_1_1 all S_1 all E_a all S (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,block_list_char(V,T_3,E_1_1),S_1),E_a),S)) -> -(all H_0_1 all L_0_1 (S_1 = produc899768717on_val(H_0_1,L_0_1) -> (all H_1_1 all L_1_1 (S = produc899768717on_val(H_1_1,fun_up1149430426on_val(L_1_1,V,hAPP_l207779698on_val(L_0_1,V))) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,produc899768717on_val(H_0_1,fun_up1149430426on_val(L_0_1,V,none_val))),E_a),produc899768717on_val(H_1_1,L_1_1))))))))) # label(fact_1054_eval__cases_I8_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1134 (all X_2 all Ha all A (hAPP_n546249108on_val(Ha,A) = none_P179726773on_val -> hBOOL(hext(Ha,fun_up2041264236on_val(Ha,A,hAPP_P1510515380on_val(some_P948696889on_val,X_2)))))) # label(fact_1055_hext__new) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1135 (all T_3 all Pa all Ea all Ha all La all V all E_a all H_a all L_a (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,produc899768717on_val(Ha,fun_up1149430426on_val(La,V,none_val))),E_a),produc899768717on_val(H_a,L_a))) -> (hAPP_l207779698on_val(L_a,V) = none_val -> (-hBOOL(assigned(V,Ea)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V,T_3,Ea),produc899768717on_val(Ha,La)),block_list_char(V,T_3,E_a)),produc899768717on_val(H_a,fun_up1149430426on_val(L_a,V,hAPP_l207779698on_val(La,V))))))))) # label(fact_1056_redp__redsp_OBlockRedNone) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1136 (all T_3 all Ea all Ha all La all V all E_a all H_a all L_a all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,produc899768717on_val(Ha,fun_up1149430426on_val(La,V,none_val))),produc1259058957on_val(E_a,produc899768717on_val(H_a,L_a))),red(Pa))) -> (hAPP_l207779698on_val(L_a,V) = none_val -> (-hBOOL(assigned(V,Ea)) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(block_list_char(V,T_3,Ea),produc899768717on_val(Ha,La)),produc1259058957on_val(block_list_char(V,T_3,E_a),produc899768717on_val(H_a,fun_up1149430426on_val(L_a,V,hAPP_l207779698on_val(La,V))))),red(Pa))))))) # label(fact_1057_red__reds_OBlockRedNone) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1137 (all V all Ea (hBOOL(assigned(V,Ea)) <-> (exists V_4 exists E_3 Ea = seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_4)),E_3)))) # label(fact_1058_assigned__def) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1138 (all V_2 binop(produc621191550al_val(add,product_Pair_val_val(unit,V_2))) = none_val) # label(fact_1059_binop_Osimps_I3_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1139 (all V_1_2 binop(produc621191550al_val(add,product_Pair_val_val(V_1_2,unit))) = none_val) # label(fact_1060_binop_Osimps_I7_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1140 (all V_1 all V_2_1 binop(produc621191550al_val(add,product_Pair_val_val(bool(V_1),V_2_1))) = none_val) # label(fact_1061_binop_Osimps_I5_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1141 (all Y (is_bop(Y) -> (Y != c_Expr_Obop_OEq -> Y = add))) # label(fact_1064_bop_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1142 (all V_1_2 all V_3 binop(produc621191550al_val(add,product_Pair_val_val(V_1_2,addr(V_3)))) = none_val) # label(fact_1065_binop_Osimps_I10_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1143 (all V_3 all V_2 binop(produc621191550al_val(add,product_Pair_val_val(addr(V_3),V_2))) = none_val) # label(fact_1066_binop_Osimps_I6_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1144 (all V_2 binop(produc621191550al_val(add,product_Pair_val_val(null,V_2))) = none_val) # label(fact_1067_binop_Osimps_I4_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1145 (all V_1_2 binop(produc621191550al_val(add,product_Pair_val_val(V_1_2,null))) = none_val) # label(fact_1068_binop_Osimps_I8_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1146 (all V_1_1 all V_1 binop(produc621191550al_val(add,product_Pair_val_val(V_1_1,bool(V_1)))) = none_val) # label(fact_1069_binop_Osimps_I9_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1147 (all V all C all E_2 all T_2_2 all Pa all Ha all E_1 all E_1_1 all T_1_2 (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,E_1_1),T_1_2)) -> (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,fun_up424764369ion_ty(E_1,V,hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,C))),E_2),T_2_2)) -> (hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_1_2),T_2_2)) -> hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,tryCatch_list_char(E_1_1,C,V,E_2)),T_2_2)))))) # label(fact_1070_WTrtTry) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1148 (all H_a all Ha ((all A_1 all C_2 all Fs_1 (hAPP_n546249108on_val(Ha,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C_2,Fs_1)) -> (exists Fs_3 hAPP_n546249108on_val(H_a,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C_2,Fs_3))))) -> hBOOL(hext(Ha,H_a)))) # label(fact_1071_hextI) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1149 (all Pa all Ha all E_1 all Vs_1 all Ts (hBOOL(wTrts(Pa,Ha,E_1,map_va1934808527t_char(val_list_char,Vs_1),Ts)) <-> map_val_option_ty(typeof_h(Ha),Vs_1) = map_ty_option_ty(some_ty,Ts))) # label(fact_1072_WTrts__Val) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1150 (all Pa all E_1 all Ha all V_1 all T_3 (hAPP_val_option_ty(typeof_h(Ha),V_1) = hAPP_ty_option_ty(some_ty,T_3) -> hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,hAPP_v834067052t_char(val_list_char,V_1)),T_3)))) # label(fact_1073_WTrtVal) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1151 (all V_1 all T_3 all Ha all H_a (hBOOL(hext(Ha,H_a)) -> (hAPP_val_option_ty(typeof_h(Ha),V_1) = hAPP_ty_option_ty(some_ty,T_3) -> hAPP_val_option_ty(typeof_h(H_a),V_1) = hAPP_ty_option_ty(some_ty,T_3)))) # label(fact_1074_hext__typeof__mono) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1152 (all Pa all Ha all E_1 all E_1_1 all C all V all E_2 all T_3 (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,tryCatch_list_char(E_1_1,C,V,E_2)),T_3)) -> -(all T_1_1 (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,E_1_1),T_1_1)) -> (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,fun_up424764369ion_ty(E_1,V,hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,C))),E_2),T_3)) -> -hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_1_1),T_3))))))) # label(fact_1075_WTrt__elim__cases_I5_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1153 (all E_1 all V all E_2 all T_2_2 all Pa all T_3 all Ha all V_1 all T_1_2 (hAPP_val_option_ty(typeof_h(Ha),V_1) = hAPP_ty_option_ty(some_ty,T_1_2) -> (hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_1_2),T_3)) -> (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,fun_up424764369ion_ty(E_1,V,hAPP_ty_option_ty(some_ty,T_3)),E_2),T_2_2)) -> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,block_list_char(V,T_3,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),E_2))),T_2_2)))))) # label(fact_1076_WTrt_H__WTrts_H_Ointros_I16_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1154 (all Pa all E_1 all Ha all V_1 all T_3 (hAPP_val_option_ty(typeof_h(Ha),V_1) = hAPP_ty_option_ty(some_ty,T_3) -> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,hAPP_v834067052t_char(val_list_char,V_1)),T_3)))) # label(fact_1077_WTrt_H__WTrts_H_Ointros_I3_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1155 (all F all T_3 all D all Pa all Ha all E_1 all Ea all C (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,Ea),hAPP_list_char_ty(class,C))) -> (hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C,F,T_3),D)) -> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,fAcc_list_char(Ea,F,D)),T_3))))) # label(fact_1078_WTrt_H__WTrts_H_Ointros_I8_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1156 (all E_2 all T_2_2 all Pa all Ha all E_1 all E_1_1 all T_1_2 (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,E_1_1),T_1_2)) -> (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,E_2),T_2_2)) -> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,seq_list_char(E_1_1,E_2)),T_2_2))))) # label(fact_1079_WTrt_H__WTrts_H_Ointros_I18_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1157 (all F all D all T_3 all Pa all Ha all E_1 all Ea (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,Ea),nt)) -> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,fAcc_list_char(Ea,F,D)),T_3)))) # label(fact_1080_WTrt_H__WTrts_H_Ointros_I9_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1158 (all Pa all Ha all E_1 all Ea all T_3 (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,Ea),T_3)) <-> hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,Ea),T_3)))) # label(fact_1081_wt_H__iff__wt) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1159 (all Pa all Ha all E_1 all Ea all T_3 (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,Ea),T_3)) -> hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,Ea),T_3)))) # label(fact_1082_wt_H__wt) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1160 (all Pa all Ha all E_1 all Ea all T_3 (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,Ea),T_3)) -> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,Ea),T_3)))) # label(fact_1083_wt__wt_H) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1161 (all T_3 all Pa all Ha all E_1 all Ea all T_r (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,Ea),T_r)) -> (hBOOL(hAPP_ty_bool(is_refT,T_r)) -> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,throw_list_char(Ea)),T_3))))) # label(fact_1084_WTrt_H__WTrts_H_Ointros_I21_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1162 (all F all D all T_3 all Pa all Ha all E_1 all Ea (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,Ea),nt)) -> hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,fAcc_list_char(Ea,F,D)),T_3)))) # label(fact_1085_WTrtFAccNT) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1163 (all M all T_3 all Esa all Ts all Pa all Ha all E_1 all Ea (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,Ea),nt)) -> (hBOOL(wTrts(Pa,Ha,E_1,Esa,Ts)) -> hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,call_list_char(Ea,M,Esa)),T_3))))) # label(fact_1086_WTrtCallNT) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1164 (all Ha hAPP_val_option_ty(typeof_h(Ha),null) = hAPP_ty_option_ty(some_ty,nt)) # label(fact_1087_typeof__h_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1165 (all C all Pa all Ha all E_1 all Ea all T_3 (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,Ea),T_3)) -> (hBOOL(hAPP_ty_bool(is_refT,T_3)) -> (hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),C)) -> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,cast_list_char(C,Ea)),hAPP_list_char_ty(class,C))))))) # label(fact_1088_WTrt_H__WTrts_H_Ointros_I2_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1166 (all Pa all Ha all E_1 all V all T_3 all Ea all T_7 (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,fun_up424764369ion_ty(E_1,V,hAPP_ty_option_ty(some_ty,T_3)),Ea),T_7)) -> (-hBOOL(assigned(V,Ea)) -> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,block_list_char(V,T_3,Ea)),T_7))))) # label(fact_1089_WTrt_H__WTrts_H_Ointros_I17_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1167 (all V all C all E_2 all T_2_2 all Pa all Ha all E_1 all E_1_1 all T_1_2 (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,E_1_1),T_1_2)) -> (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,fun_up424764369ion_ty(E_1,V,hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,C))),E_2),T_2_2)) -> (hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_1_2),T_2_2)) -> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,tryCatch_list_char(E_1_1,C,V,E_2)),T_2_2)))))) # label(fact_1090_WTrt_H__WTrts_H_Ointros_I22_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1168 (all F all T_3 all D all Pa all Ha all E_1 all Ea all C (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,Ea),hAPP_list_char_ty(class,C))) -> (hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C,F,T_3),D)) -> hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,fAcc_list_char(Ea,F,D)),T_3))))) # label(fact_1091_WTrtFAcc) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1169 (all Pa all Ha all E_1 all Ea all F all D all T_3 (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,fAcc_list_char(Ea,F,D)),T_3)) -> ((all C_2 (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,Ea),hAPP_list_char_ty(class,C_2))) -> -hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C_2,F,T_3),D)))) -> hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,Ea),nt))))) # label(fact_1092_WTrt__elim__cases_I7_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1170 (all T_3 (hBOOL(hAPP_ty_bool(is_refT,T_3)) <-> T_3 = nt | (exists C_2 T_3 = hAPP_list_char_ty(class,C_2)))) # label(fact_1093_is__refT__def) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1171 (all List_1 nt != hAPP_list_char_ty(class,List_1)) # label(fact_1094_ty_Osimps_I20_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1172 (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_1095_ty_Oinject) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1173 (all List_1 hAPP_list_char_ty(class,List_1) != nt) # label(fact_1096_ty_Osimps_I21_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1174 (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_1097_refTE) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1175 (all E_2 all T_2_2 all F all T_3 all D all Pa all Ha all E_1 all E_1_1 all C (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,E_1_1),hAPP_list_char_ty(class,C))) -> (hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C,F,T_3),D)) -> (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,E_2),T_2_2)) -> (hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_2_2),T_3)) -> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,fAss_list_char(E_1_1,F,D,E_2)),void))))))) # label(fact_1098_WTrt_H__WTrts_H_Ointros_I10_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1176 (all E_2 all T_2_2 all F all T_3 all D all Pa all Ha all E_1 all E_1_1 all C (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,E_1_1),hAPP_list_char_ty(class,C))) -> (hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C,F,T_3),D)) -> (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,E_2),T_2_2)) -> (hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_2_2),T_3)) -> hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,fAss_list_char(E_1_1,F,D,E_2)),void))))))) # label(fact_1099_WTrtFAss) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1177 (all Ha (hBOOL(preallocated(Ha)) -> hAPP_val_option_ty(typeof_h(Ha),addr(addr_of_sys_xcpt(classCast))) = hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,classCast)))) # label(fact_1100_typeof__ClassCast) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1178 (all Pa all Ha all Ea all T_7 all E_1 all V all T_3 (hAPP_l512744617ion_ty(E_1,V) = hAPP_ty_option_ty(some_ty,T_3) -> (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,Ea),T_7)) -> (hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_7),T_3)) -> hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,lAss_list_char(V,Ea)),void)))))) # label(fact_1101_WTrtLAss) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1179 (all List_1 hAPP_list_char_ty(class,List_1) != void) # label(fact_1102_ty_Osimps_I9_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1180 (all List_1 void != hAPP_list_char_ty(class,List_1)) # label(fact_1103_ty_Osimps_I8_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1181 (all H_a all Ha (hBOOL(preallocated(Ha)) -> (hBOOL(hext(Ha,H_a)) -> hBOOL(preallocated(H_a))))) # label(fact_1104_preallocated__hext) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1182 (all Fs_2 all A all C all Fs all Ha (hBOOL(preallocated(Ha)) -> (hAPP_n546249108on_val(Ha,A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,Fs)) -> hBOOL(preallocated(fun_up2041264236on_val(Ha,A,hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,Fs_2)))))))) # label(fact_1107_preallocated__upd__obj) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1183 (all X_2 all A all Ha (hBOOL(preallocated(Ha)) -> (hAPP_n546249108on_val(Ha,A) = none_P179726773on_val -> hBOOL(preallocated(fun_up2041264236on_val(Ha,A,hAPP_P1510515380on_val(some_P948696889on_val,X_2))))))) # label(fact_1108_preallocated__new) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1184 (all F all D all E_2 all T_2_2 all Pa all Ha all E_1 all E_1_1 (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,E_1_1),nt)) -> (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,E_2),T_2_2)) -> hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,fAss_list_char(E_1_1,F,D,E_2)),void))))) # label(fact_1109_WTrtFAssNT) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1185 (all F all D all E_2 all T_2_2 all Pa all Ha all E_1 all E_1_1 (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,E_1_1),nt)) -> (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,E_2),T_2_2)) -> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,fAss_list_char(E_1_1,F,D,E_2)),void))))) # label(fact_1110_WTrt_H__WTrts_H_Ointros_I11_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1186 (all Ha hAPP_val_option_ty(typeof_h(Ha),unit) = hAPP_ty_option_ty(some_ty,void)) # label(fact_1111_typeof__h_Osimps_I1_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1187 (all Ha (hBOOL(preallocated(Ha)) -> hAPP_val_option_ty(typeof_h(Ha),addr(addr_of_sys_xcpt(nullPointer))) = hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,nullPointer)))) # label(fact_1112_typeof__NullPointer) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1188 (all Pa all Ha all E_1 all V_1 all Ea all T_3 (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,lAss_list_char(V_1,Ea)),T_3)) -> -(T_3 = void -> (all T_5 (hAPP_l512744617ion_ty(E_1,V_1) = hAPP_ty_option_ty(some_ty,T_5) -> (all T_6 (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,Ea),T_6)) -> -hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_6),T_5))))))))) # label(fact_1113_WTrt__elim__cases_I1_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1189 (all Pa all Ha all E_1 all Ea all F all D all V_1 all T_3 (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,fAss_list_char(Ea,F,D,V_1)),T_3)) -> ((T_3 = void -> (all C_2 (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,Ea),hAPP_list_char_ty(class,C_2))) -> (all T_5 (hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C_2,F,T_5),D)) -> (all T_2_1 (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,V_1),T_2_1)) -> -hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_2_1),T_5))))))))) -> -(T_3 = void -> (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,Ea),nt)) -> (all T_2_1 -hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,V_1),T_2_1)))))))) # label(fact_1114_WTrt__elim__cases_I8_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1190 (all Ha (hBOOL(preallocated(Ha)) -> hAPP_val_option_ty(typeof_h(Ha),addr(addr_of_sys_xcpt(outOfMemory))) = hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,outOfMemory)))) # label(fact_1115_typeof__OutOfMemory) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1191 (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_1116_sys__xcpts__cases) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1192 (all C all La all Pa all Ha (new_Addr(Ha) = none_nat -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(new_list_char(C),produc899768717on_val(Ha,La)),produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(outOfMemory)))),produc899768717on_val(Ha,La))),red(Pa))))) # label(fact_1117_red__reds_ORedNewFail) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1193 (all Ha all E_1 all Pa all C (hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),C)) -> hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,new_list_char(C)),hAPP_list_char_ty(class,C))))) # label(fact_1118_WTrtNew) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1194 (all Pa all Ha all E_1 all C all T_3 (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,new_list_char(C)),T_3)) -> -(T_3 = hAPP_list_char_ty(class,C) -> -hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),C))))) # label(fact_1119_WTrt__elim__cases_I10_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1195 (all Ha all A (new_Addr(Ha) = hAPP_nat_option_nat(some_nat,A) -> hAPP_n546249108on_val(Ha,A) = none_P179726773on_val)) # label(fact_1120_new__Addr__SomeD) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1196 (all Ha all E_1 all Pa all C (hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),C)) -> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,new_list_char(C)),hAPP_list_char_ty(class,C))))) # label(fact_1121_WTrt_H__WTrts_H_Ointros_I1_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1197 (all Pa all C all La all Ha (new_Addr(Ha) = none_nat -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,new_list_char(C),produc899768717on_val(Ha,La)),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(outOfMemory))))),produc899768717on_val(Ha,La))))) # label(fact_1122_NewFail) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1198 (all Pa all C all La all Ha (new_Addr(Ha) = none_nat -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,new_list_char(C),produc899768717on_val(Ha,La)),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(outOfMemory))))),produc899768717on_val(Ha,La))))) # label(fact_1123_redp__redsp_ORedNewFail) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1199 (all Ha (hBOOL(preallocated(Ha)) <-> (all X_1 (hBOOL(member_list_char(X_1,sys_xcpts)) -> (exists Fs_1 hAPP_n546249108on_val(Ha,addr_of_sys_xcpt(X_1)) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(X_1,Fs_1))))))) # label(fact_1124_preallocated__def) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1200 (all C all Ha (hBOOL(preallocated(Ha)) -> (hBOOL(member_list_char(C,sys_xcpts)) -> (exists Fs_1 hAPP_n546249108on_val(Ha,addr_of_sys_xcpt(C)) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,Fs_1)))))) # label(fact_1125_preallocatedD) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1201 (all Pa all C all Ha (hBOOL(preallocated(Ha)) -> (hBOOL(member_list_char(C,sys_xcpts)) -> ((all Fs_1 (hAPP_n546249108on_val(Ha,addr_of_sys_xcpt(C)) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,Fs_1)) -> hBOOL(hAPP_list_char_bool(hAPP_f388705405r_bool(Pa,Ha),C)))) -> hBOOL(hAPP_list_char_bool(hAPP_f388705405r_bool(Pa,Ha),C)))))) # label(fact_1126_preallocatedE) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1202 (all La all H_a all Pa all C all FDTs all Ha all A (new_Addr(Ha) = hAPP_nat_option_nat(some_nat,A) -> (hBOOL(fields1147507508t_char(Pa,C,FDTs)) -> (H_a = fun_up2041264236on_val(Ha,A,hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,init_fields(FDTs)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(new_list_char(C),produc899768717on_val(Ha,La)),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,addr(A)),produc899768717on_val(H_a,La))),red(Pa))))))) # label(fact_1127_red__reds_ORedNew) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1203 (all La all H_a all Pa all C all FDTs all Ha all A (new_Addr(Ha) = hAPP_nat_option_nat(some_nat,A) -> (hBOOL(fields1147507508t_char(Pa,C,FDTs)) -> (H_a = fun_up2041264236on_val(Ha,A,hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,init_fields(FDTs)))) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,new_list_char(C),produc899768717on_val(Ha,La)),hAPP_v834067052t_char(val_list_char,addr(A))),produc899768717on_val(H_a,La))))))) # label(fact_1128_redp__redsp_ORedNew) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1204 (all La all H_a all Pa all C all FDTs all Ha all A (new_Addr(Ha) = hAPP_nat_option_nat(some_nat,A) -> (hBOOL(fields1147507508t_char(Pa,C,FDTs)) -> (H_a = fun_up2041264236on_val(Ha,A,hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,init_fields(FDTs)))) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,new_list_char(C),produc899768717on_val(Ha,La)),hAPP_v834067052t_char(val_list_char,addr(A))),produc899768717on_val(H_a,La))))))) # label(fact_1129_New) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1205 (all Esa all Ts all Pa all Ha all E_1 all Ea all T_3 (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,Ea),T_3)) -> (hBOOL(wTrts_1(Pa,Ha,E_1,Esa,Ts)) -> hBOOL(wTrts_1(Pa,Ha,E_1,cons_exp_list_char(Ea,Esa),cons_ty(T_3,Ts)))))) # label(fact_1130_WTrt_H__WTrts_H_Ointros_I15_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.50 1206 (all E_2 all T_2_2 all Pa all Ha all E_1 all E_1_1 all T_1_2 (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,E_1_1),T_1_2)) -> (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,E_2),T_2_2)) -> hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,binOp_list_char(E_1_1,c_Expr_Obop_OEq,E_2)),boolean))))) # label(fact_1131_WTrtBinOpEq) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1207 (all T_3 all E_2 all T_2_2 all E_1_1 all T_1_2 all Pa all Ha all E_1 all Ea (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,Ea),boolean)) -> (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,E_1_1),T_1_2)) -> (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,E_2),T_2_2)) -> (hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_1_2),T_2_2)) | hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_2_2),T_1_2)) -> ((hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_1_2),T_2_2)) -> T_3 = T_2_2) -> ((hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_2_2),T_1_2)) -> T_3 = T_1_2) -> hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,cond_list_char(Ea,E_1_1,E_2)),T_3))))))))) # label(fact_1132_WTrtCond) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1208 (all C_1 all T_3 all Pa all Ha all E_1 all Ea (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,Ea),boolean)) -> (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,C_1),T_3)) -> hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,while_list_char(Ea,C_1)),void))))) # label(fact_1133_WTrtWhile) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1209 (all List_1 hAPP_list_char_ty(class,List_1) != boolean) # label(fact_1138_ty_Osimps_I15_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1210 (all List_1 boolean != hAPP_list_char_ty(class,List_1)) # label(fact_1139_ty_Osimps_I14_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1211 (all Pa all Ha all E_1 all Esa all Ts (hBOOL(wTrts_1(Pa,Ha,E_1,Esa,Ts)) <-> hBOOL(wTrts(Pa,Ha,E_1,Esa,Ts)))) # label(fact_1140_wts_H__iff__wts) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1212 (all Pa all Ha all E_1 all Esa all Ts (hBOOL(wTrts_1(Pa,Ha,E_1,Esa,Ts)) -> hBOOL(wTrts(Pa,Ha,E_1,Esa,Ts)))) # label(fact_1141_wts_H__wts) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1213 (all Pa all Ha all E_1 all Esa all Ts (hBOOL(wTrts(Pa,Ha,E_1,Esa,Ts)) -> hBOOL(wTrts_1(Pa,Ha,E_1,Esa,Ts)))) # label(fact_1142_wts__wts_H) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1214 (all T_3 all E_2 all T_2_2 all E_1_1 all T_1_2 all Pa all Ha all E_1 all Ea (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,Ea),boolean)) -> (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,E_1_1),T_1_2)) -> (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,E_2),T_2_2)) -> (hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_1_2),T_2_2)) | hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_2_2),T_1_2)) -> ((hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_1_2),T_2_2)) -> T_3 = T_2_2) -> ((hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_2_2),T_1_2)) -> T_3 = T_1_2) -> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,cond_list_char(Ea,E_1_1,E_2)),T_3))))))))) # label(fact_1143_WTrt_H__WTrts_H_Ointros_I19_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1215 (all C_1 all T_3 all Pa all Ha all E_1 all Ea (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,Ea),boolean)) -> (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,C_1),T_3)) -> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,while_list_char(Ea,C_1)),void))))) # label(fact_1144_WTrt_H__WTrts_H_Ointros_I20_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1216 (all Ha all B hAPP_val_option_ty(typeof_h(Ha),bool(B)) = hAPP_ty_option_ty(some_ty,boolean)) # label(fact_1145_typeof__h_Osimps_I3_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1217 (all E_2 all T_2_2 all Pa all Ha all E_1 all E_1_1 all T_1_2 (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,E_1_1),T_1_2)) -> (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,E_2),T_2_2)) -> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,binOp_list_char(E_1_1,c_Expr_Obop_OEq,E_2)),boolean))))) # label(fact_1146_WTrt_H__WTrts_H_Ointros_I5_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1218 (all M all T_3 all Esa all Ts all Pa all Ha all E_1 all Ea (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,Ea),nt)) -> (hBOOL(wTrts_1(Pa,Ha,E_1,Esa,Ts)) -> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,call_list_char(Ea,M,Esa)),T_3))))) # label(fact_1147_WTrt_H__WTrts_H_Ointros_I13_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1219 (all Pa all Ha all E_1 all Ea all C_1 all T_3 (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,while_list_char(Ea,C_1)),T_3)) -> -(T_3 = void -> (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,Ea),boolean)) -> (all T_5 -hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,C_1),T_5))))))) # label(fact_1148_WTrt__elim__cases_I3_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1220 (all Pa all Ha all E_1 all Ea all E_1_1 all E_2 all T_3 (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,cond_list_char(Ea,E_1_1,E_2)),T_3)) -> -(hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,Ea),boolean)) -> (all T_1_1 (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,E_1_1),T_1_1)) -> (all T_2_1 (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,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)) -> T_3 = T_2_1) -> -(hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_2_1),T_1_1)) -> T_3 = T_1_1)))))))))) # label(fact_1149_WTrt__elim__cases_I2_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1221 (all Pa all Ha all E_1 all E_1_1 all Bop all E_2 all T_3 (is_bop(Bop) -> (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,binOp_list_char(E_1_1,Bop,E_2)),T_3)) -> ((T_3 = boolean -> ((exists T_1_1 hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,E_1_1),T_1_1))) -> ((exists X1 hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,E_2),X1))) -> Bop != c_Expr_Obop_OEq))) -> -(T_3 = integer -> (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,E_1_1),integer)) -> (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,E_2),integer)) -> Bop != add))))))) # label(fact_1150_WTrt__elim__cases_I9_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1222 (all E_2 all Pa all Ha all E_1 all E_1_1 (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,E_1_1),integer)) -> (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,E_2),integer)) -> hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,binOp_list_char(E_1_1,add,E_2)),integer))))) # label(fact_1151_WTrtBinOpAdd) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1223 (all List_1 integer != hAPP_list_char_ty(class,List_1)) # label(fact_1154_ty_Osimps_I18_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1224 (all List_1 hAPP_list_char_ty(class,List_1) != integer) # label(fact_1155_ty_Osimps_I19_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1225 (all E_2 all Pa all Ha all E_1 all E_1_1 (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,E_1_1),integer)) -> (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,E_2),integer)) -> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,binOp_list_char(E_1_1,add,E_2)),integer))))) # label(fact_1160_WTrt_H__WTrts_H_Ointros_I6_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1226 (all T_4 (-hBOOL(hAPP_ty_bool(is_refT,T_4)) -> T_4 = void | T_4 = boolean | T_4 = integer)) # label(fact_1161_not__refTE) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1227 (all Y (Y != void -> (Y != boolean -> (Y != integer -> (Y != nt -> -(all List Y != hAPP_list_char_ty(class,List))))))) # label(fact_1162_ty_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1228 (all Vs_1 all Pa all M all Ts all T_3 all Pns all Body all D all S_1 all A all C all Fs (hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_1),A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,Fs)) -> (hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Ts,T_3,produc1147572817t_char(Pns,Body)),D)) -> (size_size_list_val(Vs_1) = size_s2113983095t_char(Pns) -> (size_size_list_ty(Ts) = size_s2113983095t_char(Pns) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(call_list_char(hAPP_v834067052t_char(val_list_char,addr(A)),M,map_va1934808527t_char(val_list_char,Vs_1)),S_1),produc1259058957on_val(blocks(produc921874948t_char(cons_list_char(this,Pns),produc1909267824t_char(cons_ty(hAPP_list_char_ty(class,D),Ts),produc1916172923t_char(cons_val(addr(A),Vs_1),Body)))),S_1)),red(Pa)))))))) # label(fact_1163_red__reds_ORedCall) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1229 (all Ha all La all Pa all Ea 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(Ea)) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(blocks(produc921874948t_char(Vs,produc1909267824t_char(Ts,produc1916172923t_char(Vs_1,Ea)))),produc899768717on_val(Ha,La)),produc1259058957on_val(Ea,produc899768717on_val(Ha,La))),transi2024712006on_val(red(Pa)))))))) # label(fact_1164_blocksFinal) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1230 (all Vs_1 all Pa all M all Ts all T_3 all Pns all Body all D all S_1 all A all C all Fs (hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_1),A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,Fs)) -> (hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Ts,T_3,produc1147572817t_char(Pns,Body)),D)) -> (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,map_va1934808527t_char(val_list_char,Vs_1)),S_1),blocks(produc921874948t_char(cons_list_char(this,Pns),produc1909267824t_char(cons_ty(hAPP_list_char_ty(class,D),Ts),produc1916172923t_char(cons_val(addr(A),Vs_1),Body))))),S_1))))))) # label(fact_1165_redp__redsp_ORedCall) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1231 (all Pa all Ha all E_1 all Esa all Ts (hBOOL(wTrts(Pa,Ha,E_1,Esa,Ts)) -> size_s1143674878t_char(Esa) = size_size_list_ty(Ts))) # label(fact_1166_WTrts__same__length) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1232 (all Pa all Ea all Ha all La all E_a all H_a all L_a 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(produc921874948t_char(Ps,produc1909267824t_char(Ts,produc1916172923t_char(Vs_1,Ea)))),produc899768717on_val(Ha,La)),E_a),produc899768717on_val(H_a,L_a))) -> (exists L_4 hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,produc899768717on_val(Ha,map_up1085636310ar_val(La,Ps,Vs_1))),E_a),produc899768717on_val(H_a,L_4)))))))) # label(fact_1167_blocksEval) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1233 (all Esa all Ts_1 all M all Ts all T_3 all Pns all Body all D all Pa all Ha all E_1 all Ea all C (hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,Ea),hAPP_list_char_ty(class,C))) -> (hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Ts,T_3,produc1147572817t_char(Pns,Body)),D)) -> (hBOOL(wTrts_1(Pa,Ha,E_1,Esa,Ts_1)) -> (hBOOL(list_all2_ty_ty(widen_2090681816t_char(Pa),Ts_1,Ts)) -> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,call_list_char(Ea,M,Esa)),T_3))))))) # label(fact_1168_WTrt_H__WTrts_H_Ointros_I12_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1234 (all Esa all Ts_1 all M all Ts all T_3 all Pns all Body all D all Pa all Ha all E_1 all Ea all C (hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,Ea),hAPP_list_char_ty(class,C))) -> (hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Ts,T_3,produc1147572817t_char(Pns,Body)),D)) -> (hBOOL(wTrts(Pa,Ha,E_1,Esa,Ts_1)) -> (hBOOL(list_all2_ty_ty(widen_2090681816t_char(Pa),Ts_1,Ts)) -> hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,call_list_char(Ea,M,Esa)),T_3))))))) # label(fact_1169_WTrtCall) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1235 (all E_a all H_3 all L_3 all L_2_1 all M all Ts all T_3 all Pns all Body all D all C all Fs all Ps all Vs_1 all H_2 all L_2 all Pa all Ea all S_0 all A all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,addr(A))),S_1_1)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Ps,S_1_1),map_va1934808527t_char(val_list_char,Vs_1)),produc899768717on_val(H_2,L_2))) -> (hAPP_n546249108on_val(H_2,A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,Fs)) -> (hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Ts,T_3,produc1147572817t_char(Pns,Body)),D)) -> (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,produc899768717on_val(H_2,L_2_1)),E_a),produc899768717on_val(H_3,L_3))) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,call_list_char(Ea,M,Ps),S_0),E_a),produc899768717on_val(H_3,L_2))))))))))) # label(fact_1170_Call) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1236 (all Ha all V_1 all T_3 (hAPP_val_option_ty(typeof_h(hAPP_o1576581476on_val(cOMBK_1944287343al_nat,none_P179726773on_val)),V_1) = hAPP_ty_option_ty(some_ty,T_3) -> hAPP_val_option_ty(typeof_h(Ha),V_1) = hAPP_ty_option_ty(some_ty,T_3))) # label(fact_1171_typeof__lit__typeof) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1237 (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(produc1441475159on_val(produc1259058957on_val(X_1,Xa),produc1259058957on_val(Xb,Xc)),red(Pa))))) # label(fact_1172_redp__red__eq) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1238 (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(produc1611380469on_val(produc379668296on_val(X_1,Xa),produc379668296on_val(Xb,Xc)),reds(Pa))))) # label(fact_1173_redsp__reds__eq) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1239 (all Ef all H_3 all L_3 all L_2_1 all M all Ts all T_3 all Pns all Body all D all C all Fs all Esa all Vs_1 all H_2 all L_2 all Ea all S_0 all A all S_1_1 all Pa (hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)) -> (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_0),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,addr(A)),S_1_1)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Esa,S_1_1),produc379668296on_val(map_va1934808527t_char(val_list_char,Vs_1),produc899768717on_val(H_2,L_2))),transi374442731on_val(reds(Pa)))) -> (hAPP_n546249108on_val(H_2,A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,Fs)) -> (hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Ts,T_3,produc1147572817t_char(Pns,Body)),D)) -> (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(produc1441475159on_val(produc1259058957on_val(Body,produc899768717on_val(H_2,L_2_1)),produc1259058957on_val(Ef,produc899768717on_val(H_3,L_3))),transi2024712006on_val(red(Pa)))) -> (hBOOL(final_list_char(Ef)) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(call_list_char(Ea,M,Esa),S_0),produc1259058957on_val(Ef,produc899768717on_val(H_3,L_2))),transi2024712006on_val(red(Pa)))))))))))))) # label(fact_1174_CallRedsFinal) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1240 (all E_a all S all Ea all S_1 all E all S_2 all Pa (hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)) -> (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E,S_2)),red(Pa))) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E,S_2),E_a),S)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),E_a),S)))))) # label(fact_1175_extend__1__eval) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1241 (all Es_a all T_2 all Esa all T_1 all Es all T all Pa (hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)) -> (hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Esa,T_1),produc379668296on_val(Es,T)),reds(Pa))) -> (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Es,T),Es_a),T_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,T_1),Es_a),T_2)))))) # label(fact_1176_extend__1__evals) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1242 (all Ea all S_1 all E_a all S all Pa (hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),E_a),S)) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),transi2024712006on_val(red(Pa))))))) # label(fact_1177_big__by__small) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1243 (all E_a all S all Ea all S_1 all E all S_2 all Pa (hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)) -> (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E,S_2)),transi2024712006on_val(red(Pa)))) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E,S_2),E_a),S)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),E_a),S)))))) # label(fact_1178_extend__eval) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1244 (all Esa all S_1 all Es_a all S all Pa (hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S_1),Es_a),S)) -> hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Esa,S_1),produc379668296on_val(Es_a,S)),transi374442731on_val(reds(Pa))))))) # label(fact_1179_bigs__by__smalls) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1245 (all Es_a all S all Esa all S_1 all Es all S_2 all Pa (hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)) -> (hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Esa,S_1),produc379668296on_val(Es,S_2)),transi374442731on_val(reds(Pa)))) -> (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Es,S_2),Es_a),S)) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S_1),Es_a),S)))))) # label(fact_1180_extend__evals) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1246 (all Ea all S_1 all E_a all S all Pa (hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)) -> (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),transi2024712006on_val(red(Pa)))) -> (hBOOL(final_list_char(E_a)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),E_a),S)))))) # label(fact_1181_small__by__big) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1247 (all Ea all S_1 all E_a all S all Pa (hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),E_a),S)) <-> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),transi2024712006on_val(red(Pa)))) & hBOOL(final_list_char(E_a))))) # label(fact_1182_big__iff__small) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1248 (all Ha all A hAPP_val_option_ty(typeof_h(Ha),addr(A)) = option1388193227on_val(none_ty,produc907433735ion_ty(cOMBB_352765746t_char(cOMBK_184479553on_val,cOMBB_1888336841t_char(some_ty,class))),hAPP_n546249108on_val(Ha,A))) # label(fact_1183_typeof__h_Osimps_I5_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1249 (all L all Ea all Ha all La all E_a all H_a all L_a 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(produc1441475159on_val(produc1259058957on_val(Ea,produc899768717on_val(Ha,map_up1085636310ar_val(La,Vs,Vs_1))),produc1259058957on_val(E_a,produc899768717on_val(H_a,L_a))),transi2024712006on_val(red(Pa)))) -> (hBOOL(final_list_char(E_a)) -> (L = overri2012515291on_val(L_a,La,set_list_char(Vs)) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(blocks(produc921874948t_char(Vs,produc1909267824t_char(Ts,produc1916172923t_char(Vs_1,Ea)))),produc899768717on_val(Ha,La)),produc1259058957on_val(E_a,produc899768717on_val(H_a,L))),transi2024712006on_val(red(Pa))))))))))) # label(fact_1184_blocksRedsFinal) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1250 (all Ea all Ha all La all E_a all H_a all L_a 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(produc1441475159on_val(produc1259058957on_val(Ea,produc899768717on_val(Ha,map_up1085636310ar_val(La,Vs,Vs_1))),produc1259058957on_val(E_a,produc899768717on_val(H_a,L_a))),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(blocks(produc921874948t_char(Vs,produc1909267824t_char(Ts,produc1916172923t_char(Vs_1,Ea)))),produc899768717on_val(Ha,La)),produc1259058957on_val(blocks(produc921874948t_char(Vs,produc1909267824t_char(Ts,produc1916172923t_char(map_list_char_val(comp_o1129292306t_char(the_val,L_a),Vs),E_a)))),produc899768717on_val(H_a,overri2012515291on_val(L_a,La,set_list_char(Vs))))),transi2024712006on_val(red(Pa))))))))) # label(fact_1185_blocksReds) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1251 (all Ea all Ha all La all E_a all H_a all L_a all Pa (hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)) -> (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,produc899768717on_val(Ha,La)),produc1259058957on_val(E_a,produc899768717on_val(H_a,L_a))),red(Pa))) -> hBOOL(ord_le2092826700r_bool(fv(E_a),fv(Ea)))))) # label(fact_1186_Red__fv) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1252 (all Ea all F all D fv(fAcc_list_char(Ea,F,D)) = fv(Ea)) # label(fact_1187_fv__fvs_Osimps_I7_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1253 (all Ea fv(throw_list_char(Ea)) = fv(Ea)) # label(fact_1188_fv__fvs_Osimps_I14_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1254 (all C all Ea fv(cast_list_char(C,Ea)) = fv(Ea)) # label(fact_1189_fv__fvs_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1255 (all V all Pa all Ea all Ha all La all E_a all H_a all L_a (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,produc899768717on_val(Ha,La)),E_a),produc899768717on_val(H_a,L_a))) -> (-hBOOL(member_list_char(V,fv(Ea))) -> hAPP_l207779698on_val(L_a,V) = hAPP_l207779698on_val(La,V)))) # label(fact_1190_eval__notfree__unchanged) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1256 (all W all Ea all Ha all La all E_a all H_a all L_a all Pa (hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,produc899768717on_val(Ha,La)),E_a),produc899768717on_val(H_a,L_a))) -> (hBOOL(ord_le2092826700r_bool(fv(Ea),W)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,produc899768717on_val(Ha,restri761823004ar_val(La,W))),E_a),produc899768717on_val(H_a,restri761823004ar_val(L_a,W)))))))) # label(fact_1191_eval__restrict__lcl) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1257 (all C all Ha (hBOOL(preallocated(Ha)) -> (hBOOL(member_list_char(C,sys_xcpts)) -> hAPP_P1789965269t_char(produc1230355531on_val,hAPP_o1977518472on_val(the_Pr431167171on_val,hAPP_n546249108on_val(Ha,addr_of_sys_xcpt(C)))) = C))) # label(fact_1192_cname__of__xcp) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1258 (all Obj obj_ty(Obj) = hAPP_list_char_ty(class,hAPP_P1789965269t_char(produc1230355531on_val,Obj))) # label(fact_1193_obj__ty__def) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1259 (all Pa all Ea all H_0 all L_0 all E_a all H_1 all L_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,produc899768717on_val(H_0,L_0)),E_a),produc899768717on_val(H_1,L_1))) -> hBOOL(ord_le2092826700r_bool(dom_list_char_val(L_0),dom_list_char_val(L_1))))) # label(fact_1195_eval__lcl__incr) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1260 (all Pa all Esa all H_0 all L_0 all Es_a all H_1 all L_1 (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,produc899768717on_val(H_0,L_0)),Es_a),produc899768717on_val(H_1,L_1))) -> hBOOL(ord_le2092826700r_bool(dom_list_char_val(L_0),dom_list_char_val(L_1))))) # label(fact_1196_evals__lcl__incr) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1261 (all C all Ha (hBOOL(preallocated(Ha)) -> (hBOOL(member_list_char(C,sys_xcpts)) -> hBOOL(member_nat(addr_of_sys_xcpt(C),dom_na996029170on_val(Ha)))))) # label(fact_1197_preallocated__dom) # label(axiom) # label(non_clause). [assumption].
% 2.32/2.51 1262 (all Ea all H_0 all L_0 all E_a all H_1 all L_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,produc899768717on_val(H_0,L_0)),produc1259058957on_val(E_a,produc899768717on_val(H_1,L_1))),red(Pa))) -> hBOOL(ord_le2092826700r_bool(dom_list_char_val(L_0),dom_list_char_val(L_1))))) # label(fact_1198_red__lcl__incr) # label(axiom) # label(non_clause). [assumption].
% 2.42/2.66 1263 (all Ea all Ha all La all E_a all H_a all L_a all Pa (hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)) -> (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,produc899768717on_val(Ha,La)),produc1259058957on_val(E_a,produc899768717on_val(H_a,L_a))),transi2024712006on_val(red(Pa)))) -> hBOOL(ord_le2092826700r_bool(dom_list_char_val(L_a),semila919158006r_bool(dom_list_char_val(La),fv(Ea))))))) # label(fact_1199_Reds__dom__lcl) # label(axiom) # label(non_clause). [assumption].
% 2.42/2.66 1264 (all P (is_bool(P) -> P = fTrue | P = fFalse)) # label(help_fTrue_1_1_T) # label(axiom) # label(non_clause). [assumption].
% 2.42/2.66 1265 (all P (is_bool(P) -> P = fTrue | P = fFalse)) # label(help_fFalse_1_1_T) # label(axiom) # label(non_clause). [assumption].
% 2.42/2.66 1266 (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].
% 2.42/2.66 1267 (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].
% 2.42/2.66 1268 (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].
% 2.42/2.66 1269 (all P all Q all R hAPP_l512744617ion_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].
% 2.42/2.66 1270 (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].
% 2.42/2.66 1271 (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].
% 2.42/2.66 1272 (all P all Q all R hAPP_l2000496933ion_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].
% 2.42/2.66
% 2.42/2.66 ============================== end of process non-clausal formulas ===
% 2.42/2.66
% 2.42/2.66 ============================== PROCESS INITIAL CLAUSES ===============
% 2.42/2.66
% 2.42/2.66 ============================== PREDICATE ELIMINATION =================
% 2.42/2.66 1273 -is_bool(A) | A = fTrue | A = fFalse # label(help_fTrue_1_1_T) # label(axiom). [clausify(1264)].
% 2.42/2.66 1274 is_bool(final_list_char(A)) # label(gsy_c_BigStep_Ofinal_000tc__List__Olist_Itc__String__Ochar_J) # label(axiom). [clausify(1)].
% 2.42/2.66 1275 is_bool(finals_list_char(A)) # label(gsy_c_BigStep_Ofinals_000tc__List__Olist_Itc__String__Ochar_J) # label(axiom). [clausify(2)].
% 2.42/2.66 1276 is_bool(hconf_97414254t_char(A,B)) # label(gsy_c_Conform_Ohconf_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__) # label(hypothesis). [clausify(3)].
% 2.42/2.66 1277 is_bool(preallocated(A)) # label(gsy_c_Exceptions_Opreallocated) # label(axiom). [clausify(4)].
% 2.42/2.66 1278 is_bool(distinct_list_char(A)) # label(gsy_c_List_Odistinct_000tc__List__Olist_Itc__String__Ochar_J) # label(axiom). [clausify(5)].
% 2.42/2.66 1279 is_bool(list_all2_ty_ty(A,B,C)) # label(gsy_c_List_Olist__all2_000tc__Type__Oty_000tc__Type__Oty) # label(axiom). [clausify(6)].
% 2.42/2.66 1280 is_bool(hext(A,B)) # label(gsy_c_Objects_Ohext) # label(axiom). [clausify(7)].
% 2.42/2.66 1281 is_bool(ord_le2092826700r_bool(A,B)) # label(gsy_c_Orderings_Oord__class_Oless__eq_000tc__fun_Itc__List__Olist_Itc__String__O) # label(axiom). [clausify(8)].
% 2.42/2.66 1282 is_bool(wTrts_1(A,B,C,D,E)) # label(gsy_c_Progress_OWTrts_H) # label(axiom). [clausify(9)].
% 2.42/2.66 1283 is_bool(assigned(A,B)) # label(gsy_c_SmallStep_Oassigned) # label(axiom). [clausify(10)].
% 2.42/2.66 1284 is_bool(fields1147507508t_char(A,B,C)) # label(gsy_c_TypeRel_OFields_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String_) # label(axiom). [clausify(11)].
% 2.42/2.66 1285 is_bool(wf_pro755087577t_char(A,B)) # label(gsy_c_WellForm_Owf__prog_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__Stri) # label(axiom). [clausify(12)].
% 2.42/2.66 1286 is_bool(wTrts(A,B,C,D,E)) # label(gsy_c_WellTypeRT_OWTrts) # label(axiom). [clausify(13)].
% 2.42/2.66 1287 is_bool(fFalse) # label(gsy_c_fFalse) # label(axiom). [assumption].
% 2.42/2.66 1288 is_bool(fTrue) # label(gsy_c_fTrue) # label(axiom). [assumption].
% 2.42/2.66 1289 is_bool(hAPP_e544220455r_bool(A,B)) # label(gsy_c_hAPP_000tc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J_000tc__HOL_) # label(axiom). [clausify(14)].
% 2.42/2.66 1290 is_bool(hAPP_list_char_bool(A,B)) # label(gsy_c_hAPP_000tc__List__Olist_Itc__String__Ochar_J_000tc__HOL__Obool) # label(axiom). [clausify(15)].
% 2.42/2.66 1291 is_bool(hAPP_nat_bool(A,B)) # label(gsy_c_hAPP_000tc__Nat__Onat_000tc__HOL__Obool) # label(axiom). [clausify(16)].
% 2.42/2.66 1292 is_bool(hAPP_ty_bool(A,B)) # label(gsy_c_hAPP_000tc__Type__Oty_000tc__HOL__Obool) # label(hypothesis). [clausify(17)].
% 2.42/2.66 1293 is_bool(hAPP_val_bool(A,B)) # label(gsy_c_hAPP_000tc__Value__Oval_000tc__HOL__Obool) # label(axiom). [clausify(18)].
% 2.42/2.66 1294 is_bool(hAPP_f1033709212l_bool(A,B)) # label(gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Option__Ooption) # label(axiom). [clausify(19)].
% 2.42/2.66 1295 is_bool(hAPP_f1715346603l_bool(A,B)) # label(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List_) # label(axiom). [clausify(20)].
% 2.42/2.66 1296 is_bool(hAPP_P943837928l_bool(A,B)) # label(gsy_c_hAPP_000tc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Value__Oval_Mtc__Value__Ov) # label(axiom). [clausify(21)].
% 2.42/2.66 1297 is_bool(hAPP_P1708370145l_bool(A,B)) # label(gsy_c_hAPP_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J_M) # label(axiom). [clausify(22)].
% 2.42/2.66 1298 is_bool(hAPP_P71593144l_bool(A,B)) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Olist_Itc__St) # label(axiom). [clausify(23)].
% 2.42/2.66 1299 is_bool(hAPP_P2014166431r_bool(A,B)) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__Ochar_J_J_) # label(axiom). [clausify(24)].
% 2.42/2.66 1300 is_bool(hAPP_P92196306r_bool(A,B)) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__Ochar_J_J__001) # label(axiom). [clausify(25)].
% 2.42/2.66 1301 is_bool(hAPP_P449474095r_bool(A,B)) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List__Olist_It) # label(axiom). [clausify(26)].
% 2.42/2.66 1302 is_bool(hAPP_P748443392y_bool(A,B)) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Type__Oty_J_00) # label(axiom). [clausify(27)].
% 2.42/2.66 1303 is_bool(hAPP_P1235399154l_bool(A,B)) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_Itc__prod_) # label(axiom). [clausify(28)].
% 2.42/2.66 1304 is_bool(hAPP_P831231943y_bool(A,B)) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_Itc__List) # label(axiom). [clausify(29)].
% 2.42/2.66 1305 is_bool(hAPP_P1907982426r_bool(A,B)) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc__List__Ol) # label(axiom). [clausify(30)].
% 2.42/2.66 1306 is_bool(hAPP_P2118621157r_bool(A,B)) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Expr__Oexp_Itc__) # label(axiom). [clausify(31)].
% 2.42/2.66 1307 is_bool(hAPP_P929938951l_bool(A,B)) # label(gsy_c_hAPP_000tc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_000tc__HOL__Obool) # label(axiom). [clausify(32)].
% 2.42/2.66 1308 is_bool(hAPP_P159683425l_bool(A,B)) # label(gsy_c_hAPP_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_It) # label(axiom). [clausify(33)].
% 2.42/2.66 1309 is_bool(hAPP_P738987199l_bool(A,B)) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Value__Oval_Mtc_) # label(axiom). [clausify(34)].
% 2.42/2.66 1310 is_bool(hAPP_P282169671l_bool(A,B)) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__O) # label(axiom). [clausify(35)].
% 2.42/2.66 1311 is_bool(hAPP_P1333315679l_bool(A,B)) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Oli) # label(axiom). [clausify(36)].
% 2.42/2.66 1312 is_bool(hAPP_P1002912327r_bool(A,B)) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__) # label(axiom). [clausify(37)].
% 2.42/2.66 1313 is_bool(hAPP_P824029447r_bool(A,B)) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String___002) # label(axiom). [clausify(38)].
% 2.42/2.66 1314 is_bool(hAPP_P27757617y_bool(A,B)) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List) # label(axiom). [clausify(39)].
% 2.42/2.66 1315 is_bool(hAPP_P2010574925r_bool(A,B)) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List_003) # label(axiom). [clausify(40)].
% 2.42/2.66 1316 is_bool(hAPP_P124632071l_bool(A,B)) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_) # label(axiom). [clausify(41)].
% 2.42/2.66 1317 is_bool(hAPP_P1240100515r_bool(A,B)) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc) # label(axiom). [clausify(42)].
% 2.42/2.66 1318 is_bool(hAPP_P1183499705r_bool(A,B)) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Expr__) # label(axiom). [clausify(43)].
% 2.42/2.66 1319 is_bool(hAPP_P2123002749l_bool(A,B)) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_Mtc__prod_I) # label(axiom). [clausify(44)].
% 2.42/2.66 1320 is_bool(hAPP_P1221872711l_bool(A,B)) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It) # label(axiom). [clausify(45)].
% 2.42/2.66 1321 is_bool(hAPP_P378063101l_bool(A,B)) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc_) # label(axiom). [clausify(46)].
% 2.42/2.66 1322 is_bool(hAPP_P2028072621l_bool(A,B)) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc_) # label(axiom). [clausify(47)].
% 2.42/2.66 1323 is_bool(member_list_char(A,B)) # label(gsy_c_member_000tc__List__Olist_Itc__String__Ochar_J) # label(axiom). [clausify(48)].
% 2.42/2.66 1324 is_bool(member_nat(A,B)) # label(gsy_c_member_000tc__Nat__Onat) # label(axiom). [clausify(49)].
% 2.42/2.66 1325 is_bool(member1251428284t_char(A,B)) # label(gsy_c_member_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List__Olist_) # label(axiom). [clausify(50)].
% 2.42/2.66 1326 is_bool(member503779467har_ty(A,B)) # label(gsy_c_member_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Type__Oty_J) # label(axiom). [clausify(51)].
% 2.42/2.66 1327 is_bool(member649088532al_val(A,B)) # label(gsy_c_member_000tc__prod_Itc__Value__Oval_Mtc__Value__Oval_J) # label(axiom). [clausify(52)].
% 2.42/2.66 1328 is_bool(member1732271180al_val(A,B)) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Value__Oval_Mt) # label(axiom). [clausify(53)].
% 2.42/2.66 1329 is_bool(member773094996on_val(A,B)) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String_) # label(hypothesis). [clausify(54)].
% 2.42/2.66 1330 is_bool(member875476972on_val(A,B)) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__O) # label(axiom). [clausify(55)].
% 2.42/2.66 1331 is_bool(member1999287380t_char(A,B)) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String) # label(axiom). [clausify(56)].
% 2.42/2.66 1332 is_bool(member1420286996t_char(A,B)) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String_004) # label(axiom). [clausify(57)].
% 2.42/2.66 1333 is_bool(member1783291580har_ty(A,B)) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Li) # label(axiom). [clausify(58)].
% 2.42/2.66 1334 is_bool(member794220506t_char(A,B)) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Li_005) # label(axiom). [clausify(59)].
% 2.42/2.66 1335 is_bool(member119266708har_ty(A,B)) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Ty) # label(axiom). [clausify(60)].
% 2.42/2.66 1336 is_bool(member1322055188on_val(A,B)) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fu) # label(axiom). [clausify(61)].
% 2.42/2.66 1337 is_bool(member1664419796har_ty(A,B)) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__pr) # label(axiom). [clausify(62)].
% 2.42/2.66 1338 is_bool(member125098544t_char(A,B)) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_I) # label(axiom). [clausify(63)].
% 2.42/2.66 1339 is_bool(member1161907014t_char(A,B)) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Expr) # label(axiom). [clausify(64)].
% 2.42/2.66 1340 is_bool(member837208074al_val(A,B)) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_Mtc__prod) # label(axiom). [clausify(65)].
% 2.42/2.66 1341 is_bool(member563141460on_val(A,B)) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_) # label(axiom). [clausify(66)].
% 2.42/2.66 1342 is_bool(member23198458al_val(A,B)) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Valu) # label(axiom). [clausify(67)].
% 2.42/2.66 1343 is_bool(member808015754on_val(A,B)) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_It) # label(axiom). [clausify(68)].
% 2.42/2.66 1344 is_bool(member88670778on_val(A,B)) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_It) # label(axiom). [clausify(69)].
% 2.42/2.66 1345 is_bool(member902595210t_char(A,B)) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__List__Olist_I) # label(axiom). [clausify(70)].
% 2.42/2.66 1346 is_bool(member1934728458t_char(A,B)) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__List__Olist_I_006) # label(axiom). [clausify(71)].
% 2.42/2.66 1347 is_bool(member1986596692har_ty(A,B)) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar) # label(axiom). [clausify(72)].
% 2.42/2.66 1348 is_bool(member1689070870t_char(A,B)) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_007) # label(axiom). [clausify(73)].
% 2.42/2.66 1349 is_bool(member1114719754on_val(A,B)) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_008) # label(axiom). [clausify(74)].
% 2.42/2.66 1350 is_bool(member371591362t_char(A,B)) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_M) # label(axiom). [clausify(75)].
% 2.42/2.66 1351 is_bool(member1105423342t_char(A,B)) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Value__Oval_J) # label(axiom). [clausify(76)].
% 2.42/2.66 1352 is_bool(member384848502al_val(A,B)) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__Value__Oval_Mtc__Value__Oval_J) # label(axiom). [clausify(77)].
% 2.42/2.66 1353 is_bool(member2032527242on_val(A,B)) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option) # label(axiom). [clausify(78)].
% 2.42/2.66 1354 is_bool(member712690550on_val(A,B)) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List) # label(axiom). [clausify(79)].
% 2.42/2.66 1355 is_bool(member1837727190on_val(A,B)) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Exp) # label(axiom). [clausify(80)].
% 2.42/2.66 Derived: final_list_char(A) = fTrue | final_list_char(A) = fFalse. [resolve(1273,a,1274,a)].
% 2.42/2.66 Derived: finals_list_char(A) = fTrue | finals_list_char(A) = fFalse. [resolve(1273,a,1275,a)].
% 2.42/2.66 Derived: hconf_97414254t_char(A,B) = fTrue | hconf_97414254t_char(A,B) = fFalse. [resolve(1273,a,1276,a)].
% 2.42/2.66 Derived: preallocated(A) = fTrue | preallocated(A) = fFalse. [resolve(1273,a,1277,a)].
% 2.42/2.66 Derived: distinct_list_char(A) = fTrue | distinct_list_char(A) = fFalse. [resolve(1273,a,1278,a)].
% 2.42/2.66 Derived: list_all2_ty_ty(A,B,C) = fTrue | list_all2_ty_ty(A,B,C) = fFalse. [resolve(1273,a,1279,a)].
% 2.42/2.66 Derived: hext(A,B) = fTrue | hext(A,B) = fFalse. [resolve(1273,a,1280,a)].
% 2.42/2.66 Derived: ord_le2092826700r_bool(A,B) = fTrue | ord_le2092826700r_bool(A,B) = fFalse. [resolve(1273,a,1281,a)].
% 2.42/2.66 Derived: wTrts_1(A,B,C,D,E) = fTrue | wTrts_1(A,B,C,D,E) = fFalse. [resolve(1273,a,1282,a)].
% 2.42/2.66 Derived: assigned(A,B) = fTrue | assigned(A,B) = fFalse. [resolve(1273,a,1283,a)].
% 2.42/2.66 Derived: fields1147507508t_char(A,B,C) = fTrue | fields1147507508t_char(A,B,C) = fFalse. [resolve(1273,a,1284,a)].
% 2.42/2.66 Derived: wf_pro755087577t_char(A,B) = fTrue | wf_pro755087577t_char(A,B) = fFalse. [resolve(1273,a,1285,a)].
% 2.42/2.66 Derived: wTrts(A,B,C,D,E) = fTrue | wTrts(A,B,C,D,E) = fFalse. [resolve(1273,a,1286,a)].
% 2.42/2.66 Derived: fFalse = fTrue | fFalse = fFalse. [resolve(1273,a,1287,a)].
% 2.42/2.66 Derived: fTrue = fTrue | fTrue = fFalse. [resolve(1273,a,1288,a)].
% 2.42/2.66 Derived: hAPP_e544220455r_bool(A,B) = fTrue | hAPP_e544220455r_bool(A,B) = fFalse. [resolve(1273,a,1289,a)].
% 2.42/2.66 Derived: hAPP_list_char_bool(A,B) = fTrue | hAPP_list_char_bool(A,B) = fFalse. [resolve(1273,a,1290,a)].
% 2.42/2.66 Derived: hAPP_nat_bool(A,B) = fTrue | hAPP_nat_bool(A,B) = fFalse. [resolve(1273,a,1291,a)].
% 2.42/2.66 Derived: hAPP_ty_bool(A,B) = fTrue | hAPP_ty_bool(A,B) = fFalse. [resolve(1273,a,1292,a)].
% 2.42/2.66 Derived: hAPP_val_bool(A,B) = fTrue | hAPP_val_bool(A,B) = fFalse. [resolve(1273,a,1293,a)].
% 2.42/2.66 Derived: hAPP_f1033709212l_bool(A,B) = fTrue | hAPP_f1033709212l_bool(A,B) = fFalse. [resolve(1273,a,1294,a)].
% 2.42/2.66 Derived: hAPP_f1715346603l_bool(A,B) = fTrue | hAPP_f1715346603l_bool(A,B) = fFalse. [resolve(1273,a,1295,a)].
% 2.42/2.66 Derived: hAPP_P943837928l_bool(A,B) = fTrue | hAPP_P943837928l_bool(A,B) = fFalse. [resolve(1273,a,1296,a)].
% 2.42/2.66 Derived: hAPP_P1708370145l_bool(A,B) = fTrue | hAPP_P1708370145l_bool(A,B) = fFalse. [resolve(1273,a,1297,a)].
% 2.42/2.66 Derived: hAPP_P71593144l_bool(A,B) = fTrue | hAPP_P71593144l_bool(A,B) = fFalse. [resolve(1273,a,1298,a)].
% 2.42/2.66 Derived: hAPP_P2014166431r_bool(A,B) = fTrue | hAPP_P2014166431r_bool(A,B) = fFalse. [resolve(1273,a,1299,a)].
% 2.42/2.66 Derived: hAPP_P92196306r_bool(A,B) = fTrue | hAPP_P92196306r_bool(A,B) = fFalse. [resolve(1273,a,1300,a)].
% 2.42/2.66 Derived: hAPP_P449474095r_bool(A,B) = fTrue | hAPP_P449474095r_bool(A,B) = fFalse. [resolve(1273,a,1301,a)].
% 2.42/2.66 Derived: hAPP_P748443392y_bool(A,B) = fTrue | hAPP_P748443392y_bool(A,B) = fFalse. [resolve(1273,a,1302,a)].
% 2.42/2.66 Derived: hAPP_P1235399154l_bool(A,B) = fTrue | hAPP_P1235399154l_bool(A,B) = fFalse. [resolve(1273,a,1303,a)].
% 2.42/2.66 Derived: hAPP_P831231943y_bool(A,B) = fTrue | hAPP_P831231943y_bool(A,B) = fFalse. [resolve(1273,a,1304,a)].
% 2.42/2.66 Derived: hAPP_P1907982426r_bool(A,B) = fTrue | hAPP_P1907982426r_bool(A,B) = fFalse. [resolve(1273,a,1305,a)].
% 2.42/2.66 Derived: hAPP_P2118621157r_bool(A,B) = fTrue | hAPP_P2118621157r_bool(A,B) = fFalse. [resolve(1273,a,1306,a)].
% 2.42/2.66 Derived: hAPP_P929938951l_bool(A,B) = fTrue | hAPP_P929938951l_bool(A,B) = fFalse. [resolve(1273,a,1307,a)].
% 2.42/2.66 Derived: hAPP_P159683425l_bool(A,B) = fTrue | hAPP_P159683425l_bool(A,B) = fFalse. [resolve(1273,a,1308,a)].
% 2.42/2.66 Derived: hAPP_P738987199l_bool(A,B) = fTrue | hAPP_P738987199l_bool(A,B) = fFalse. [resolve(1273,a,1309,a)].
% 2.42/2.66 Derived: hAPP_P282169671l_bool(A,B) = fTrue | hAPP_P282169671l_bool(A,B) = fFalse. [resolve(1273,a,1310,a)].
% 2.42/2.66 Derived: hAPP_P1333315679l_bool(A,B) = fTrue | hAPP_P1333315679l_bool(A,B) = fFalse. [resolve(1273,a,1311,a)].
% 2.42/2.66 Derived: hAPP_P1002912327r_bool(A,B) = fTrue | hAPP_P1002912327r_bool(A,B) = fFalse. [resolve(1273,a,1312,a)].
% 2.42/2.66 Derived: hAPP_P824029447r_bool(A,B) = fTrue | hAPP_P824029447r_bool(A,B) = fFalse. [resolve(1273,a,1313,a)].
% 2.42/2.66 Derived: hAPP_P27757617y_bool(A,B) = fTrue | hAPP_P27757617y_bool(A,B) = fFalse. [resolve(1273,a,1314,a)].
% 2.42/2.66 Derived: hAPP_P2010574925r_bool(A,B) = fTrue | hAPP_P2010574925r_bool(A,B) = fFalse. [resolve(1273,a,1315,a)].
% 2.42/2.66 Derived: hAPP_P124632071l_bool(A,B) = fTrue | hAPP_P124632071l_bool(A,B) = fFalse. [resolve(1273,a,1316,a)].
% 2.42/2.66 Derived: hAPP_P1240100515r_bool(A,B) = fTrue | hAPP_P1240100515r_bool(A,B) = fFalse. [resolve(1273,a,1317,a)].
% 2.42/2.66 Derived: hAPP_P1183499705r_bool(A,B) = fTrue | hAPP_P1183499705r_bool(A,B) = fFalse. [resolve(1273,a,1318,a)].
% 2.42/2.66 Derived: hAPP_P2123002749l_bool(A,B) = fTrue | hAPP_P2123002749l_bool(A,B) = fFalse. [resolve(1273,a,1319,a)].
% 2.42/2.66 Derived: hAPP_P1221872711l_bool(A,B) = fTrue | hAPP_P1221872711l_bool(A,B) = fFalse. [resolve(1273,a,1320,a)].
% 2.73/2.98 Derived: hAPP_P378063101l_bool(A,B) = fTrue | hAPP_P378063101l_bool(A,B) = fFalse. [resolve(1273,a,1321,a)].
% 2.73/2.98 Derived: hAPP_P2028072621l_bool(A,B) = fTrue | hAPP_P2028072621l_bool(A,B) = fFalse. [resolve(1273,a,1322,a)].
% 2.73/2.98 Derived: member_list_char(A,B) = fTrue | member_list_char(A,B) = fFalse. [resolve(1273,a,1323,a)].
% 2.73/2.98 Derived: member_nat(A,B) = fTrue | member_nat(A,B) = fFalse. [resolve(1273,a,1324,a)].
% 2.73/2.98 Derived: member1251428284t_char(A,B) = fTrue | member1251428284t_char(A,B) = fFalse. [resolve(1273,a,1325,a)].
% 2.73/2.98 Derived: member503779467har_ty(A,B) = fTrue | member503779467har_ty(A,B) = fFalse. [resolve(1273,a,1326,a)].
% 2.73/2.98 Derived: member649088532al_val(A,B) = fTrue | member649088532al_val(A,B) = fFalse. [resolve(1273,a,1327,a)].
% 2.73/2.98 Derived: member1732271180al_val(A,B) = fTrue | member1732271180al_val(A,B) = fFalse. [resolve(1273,a,1328,a)].
% 2.73/2.98 Derived: member773094996on_val(A,B) = fTrue | member773094996on_val(A,B) = fFalse. [resolve(1273,a,1329,a)].
% 2.73/2.98 Derived: member875476972on_val(A,B) = fTrue | member875476972on_val(A,B) = fFalse. [resolve(1273,a,1330,a)].
% 2.73/2.98 Derived: member1999287380t_char(A,B) = fTrue | member1999287380t_char(A,B) = fFalse. [resolve(1273,a,1331,a)].
% 2.73/2.98 Derived: member1420286996t_char(A,B) = fTrue | member1420286996t_char(A,B) = fFalse. [resolve(1273,a,1332,a)].
% 2.73/2.98 Derived: member1783291580har_ty(A,B) = fTrue | member1783291580har_ty(A,B) = fFalse. [resolve(1273,a,1333,a)].
% 2.73/2.98 Derived: member794220506t_char(A,B) = fTrue | member794220506t_char(A,B) = fFalse. [resolve(1273,a,1334,a)].
% 2.73/2.98 Derived: member119266708har_ty(A,B) = fTrue | member119266708har_ty(A,B) = fFalse. [resolve(1273,a,1335,a)].
% 2.73/2.98 Derived: member1322055188on_val(A,B) = fTrue | member1322055188on_val(A,B) = fFalse. [resolve(1273,a,1336,a)].
% 2.73/2.98 Derived: member1664419796har_ty(A,B) = fTrue | member1664419796har_ty(A,B) = fFalse. [resolve(1273,a,1337,a)].
% 2.73/2.98 Derived: member125098544t_char(A,B) = fTrue | member125098544t_char(A,B) = fFalse. [resolve(1273,a,1338,a)].
% 2.73/2.98 Derived: member1161907014t_char(A,B) = fTrue | member1161907014t_char(A,B) = fFalse. [resolve(1273,a,1339,a)].
% 2.73/2.98 Derived: member837208074al_val(A,B) = fTrue | member837208074al_val(A,B) = fFalse. [resolve(1273,a,1340,a)].
% 2.73/2.98 Derived: member563141460on_val(A,B) = fTrue | member563141460on_val(A,B) = fFalse. [resolve(1273,a,1341,a)].
% 2.73/2.98 Derived: member23198458al_val(A,B) = fTrue | member23198458al_val(A,B) = fFalse. [resolve(1273,a,1342,a)].
% 2.73/2.98 Derived: member808015754on_val(A,B) = fTrue | member808015754on_val(A,B) = fFalse. [resolve(1273,a,1343,a)].
% 2.73/2.98 Derived: member88670778on_val(A,B) = fTrue | member88670778on_val(A,B) = fFalse. [resolve(1273,a,1344,a)].
% 2.73/2.98 Derived: member902595210t_char(A,B) = fTrue | member902595210t_char(A,B) = fFalse. [resolve(1273,a,1345,a)].
% 2.73/2.98 Derived: member1934728458t_char(A,B) = fTrue | member1934728458t_char(A,B) = fFalse. [resolve(1273,a,1346,a)].
% 2.73/2.98 Derived: member1986596692har_ty(A,B) = fTrue | member1986596692har_ty(A,B) = fFalse. [resolve(1273,a,1347,a)].
% 2.73/2.98 Derived: member1689070870t_char(A,B) = fTrue | member1689070870t_char(A,B) = fFalse. [resolve(1273,a,1348,a)].
% 2.73/2.98 Derived: member1114719754on_val(A,B) = fTrue | member1114719754on_val(A,B) = fFalse. [resolve(1273,a,1349,a)].
% 2.73/2.98 Derived: member371591362t_char(A,B) = fTrue | member371591362t_char(A,B) = fFalse. [resolve(1273,a,1350,a)].
% 2.73/2.98 Derived: member1105423342t_char(A,B) = fTrue | member1105423342t_char(A,B) = fFalse. [resolve(1273,a,1351,a)].
% 2.73/2.98 Derived: member384848502al_val(A,B) = fTrue | member384848502al_val(A,B) = fFalse. [resolve(1273,a,1352,a)].
% 2.73/2.98 Derived: member2032527242on_val(A,B) = fTrue | member2032527242on_val(A,B) = fFalse. [resolve(1273,a,1353,a)].
% 2.73/2.98 Derived: member712690550on_val(A,B) = fTrue | member712690550on_val(A,B) = fFalse. [resolve(1273,a,1354,a)].
% 2.73/2.98 Derived: member1837727190on_val(A,B) = fTrue | member1837727190on_val(A,B) = fFalse. [resolve(1273,a,1355,a)].
% 2.73/2.98 1356 -is_bool(A) | A = fTrue | A = fFalse # label(help_fFalse_1_1_T) # label(axiom). [clausify(1265)].
% 2.73/2.98
% 2.73/2.98 ============================== end predicate elimination =============
% 2.73/2.98
% 2.73/2.98 Auto_denials: (non-Horn, no changes).
% 2.73/2.98
% 2.73/2.98 Term ordering decisions:
% 6.64/6.82 Function symbol KB weights: val_list_char=1. fTrue=1. fFalse=1. some_P948696889on_val=1. some_val=1. class=1. unit=1. null=1. some_ty=1. nullPointer=1. boolean=1. integer=1. none_val=1. nt=1. add=1. hp=1. wwf_J_mdecl=1. is_refT=1. void=1. c_Expr_Obop_OEq=1. classCast=1. sys_xcpts=1. outOfMemory=1. none_P179726773on_val=1. some_nat=1. this=1. cOMBK_1097134891t_char=1. fequal_val=1. h_1=1. none_nat=1. p=1. cOMBK_184479553on_val=1. cOMBK_1944287343al_nat=1. e=1. produc1230355531on_val=1. the_val=1. bop=1. e_1=1. e_2=1. h=1. l=1. l_1=1. none_ty=1. produc1517998010on_val=1. t=1. the_Pr431167171on_val=1. hAPP_P159683425l_bool=1. hAPP_e1833980889l_bool=1. produc1259058957on_val=1. hAPP_v834067052t_char=1. produc1441475159on_val=1. hAPP_ty_bool=1. member773094996on_val=1. produc899768717on_val=1. produc1611380469on_val=1. product_Pair_val_val=1. produc1924279125al_val=1. produc823076510on_val=1. produc5062597t_char=1. produc1564932627on_val=1. produc1951691075on_val=1. produc24551831t_char=1. produc379668296on_val=1. produc57279289t_char=1. produc1244920211al_val=1. produc1299387215t_char=1. produc1897818327t_char=1. produc2080520419t_char=1. produc499151895on_val=1. produc870913623on_val=1. produc621191550al_val=1. hAPP_P929938951l_bool=1. hAPP_P1907982426r_bool=1. hAPP_P2118621157r_bool=1. produc1909267824t_char=1. hAPP_list_char_bool=1. while_list_char=1. produc1916172923t_char=1. produc921874948t_char=1. member875476972on_val=1. produc1147572817t_char=1. hAPP_P1333315679l_bool=1. hAPP_P282169671l_bool=1. hAPP_P943837928l_bool=1. hAPP_P1708370145l_bool=1. hAPP_P71593144l_bool=1. hAPP_P92196306r_bool=1. hAPP_P449474095r_bool=1. cons_exp_list_char=1. hAPP_P1235399154l_bool=1. hAPP_P2014166431r_bool=1. hAPP_P1510515380on_val=1. member1732271180al_val=1. produc1002914035har_ty=1. produc251930284har_ty=1. append_exp_list_char=1. hAPP_l146377954l_bool=1. produc1265154397har_ty=1. hAPP_e544220455r_bool=1. member1161907014t_char=1. member125098544t_char=1. member1322055188on_val=1. member1420286996t_char=1. member1999287380t_char=1. member563141460on_val=1. member794220506t_char=1. member808015754on_val=1. member837208074al_val=1. member88670778on_val=1. hAPP_val_bool=1. lAss_list_char=1. hAPP_val_option_val=1. seq_list_char=1. hAPP_n546249108on_val=1. member1251428284t_char=1. append590652462har_ty=1. map_va1934808527t_char=1. hAPP_P748443392y_bool=1. hAPP_list_char_ty=1. member649088532al_val=1. cast_list_char=1. hAPP_b97269396l_bool=1. hAPP_ty_option_ty=1. cons_val=1. hAPP_l1361600383r_bool=1. hAPP_v1392248405l_bool=1. hAPP_f1033709212l_bool=1. hAPP_f1715346603l_bool=1. hAPP_l207779698on_val=1. hAPP_ty_fun_ty_bool=1. hAPP_P1116729363l_bool=1. hAPP_P1183008383l_bool=1. hAPP_f1175813647l_bool=1. hAPP_l1062423959r_bool=1. hAPP_l1987619678r_bool=1. hAPP_l214204733r_bool=1. hAPP_l217977712r_bool=1. hAPP_l465799708l_bool=1. hAPP_P1214880255r_bool=1. hAPP_P1815899455l_bool=1. hAPP_P1845004857y_bool=1. hAPP_P1928969845r_bool=1. hAPP_P1939418767r_bool=1. hAPP_P1988153107l_bool=1. hAPP_P2062527807l_bool=1. hAPP_P220718911l_bool=1. hAPP_P323054207l_bool=1. hAPP_P357098431r_bool=1. hAPP_P416784693l_bool=1. hAPP_P663876415r_bool=1. hAPP_l1665608433y_bool=1. hAPP_l1734756650y_bool=1. hext=1. hAPP_P2028072621l_bool=1. hAPP_P378063101l_bool=1. hAPP_P738987199l_bool=1. hAPP_P824029447r_bool=1. cons_ty=1. hAPP_P1240100515r_bool=1. hAPP_val_option_ty=1. map_ty_option_ty=1. map_val_option_ty=1. cons_P796333129har_ty=1. cons_list_char=1. cons_option_ty=1. map_list_char_val=1. member1105423342t_char=1. member1114719754on_val=1. member119266708har_ty=1. member1664419796har_ty=1. member1689070870t_char=1. member1837727190on_val=1. member1934728458t_char=1. member1986596692har_ty=1. member2032527242on_val=1. member23198458al_val=1. member371591362t_char=1. member384848502al_val=1. member712690550on_val=1. member902595210t_char=1. hAPP_P1002912327r_bool=1. hAPP_P1183499705r_bool=1. hAPP_P1221872711l_bool=1. hAPP_P124632071l_bool=1. hAPP_P2010574925r_bool=1. hAPP_P2123002749l_bool=1. map_Pr1267419400har_ty=1. map_Pr1471044963har_ty=1. produc1288549779t_char=1. produc1414300567har_ty=1. produc1729053055on_val=1. produc2038128087har_ty=1. produc253822483t_char=1. produc354099231t_char=1. produc370870787al_val=1. produc434506131on_val=1. produc627518711t_char=1. produc63273559har_ty=1. produc722767071on_val=1. produc913263563t_char=1. produc935654419on_val=1. produc94135935al_val=1. wf_pro755087577t_char=1. hAPP_P27757617y_bool=1. hAPP_P703866694on_val=1. hAPP_P831231943y_bool=1. member_list_char=1. map_ad325961431ar_val=1. assigned=1. cons_P1020158687har_ty=1. ord_le2092826700r_bool=1. append_val=1. append_list_char=1. append_ty=1. cons_P306092184har_ty=1. hAPP_P385447595har_ty=1. hAPP_P71962758har_ty=1. hAPP_l512744617ion_ty=1. hAPP_list_char_val=1. member_nat=1. hAPP_P2094403585on_val=1. hAPP_nat_bool=1. hAPP_nat_option_nat=1. member1783291580har_ty=1. member503779467har_ty=1. hAPP_o538043682on_val=1. hconf_97414254t_char=1. append_option_ty=1. cOMBB_1888336841t_char=1. cOMBB_352765746t_char=1. hAPP_P1789965269t_char=1. hAPP_o1576581476on_val=1. hAPP_o534509643ion_ty=1. map_ad1185064968ar_val=1. map_ad61982421on_val=1. map_add_list_char_ty=1. restri761823004ar_val=1. append1373980413har_ty=1. append814478020har_ty=1. comp_o1129292306t_char=1. hAPP_f388705405r_bool=1. hAPP_f652398900ion_ty=1. hAPP_l2000496933ion_ty=1. hAPP_o1977518472on_val=1. hAPP_option_val_val=1. semila919158006r_bool=1. f1=1. f2=1. f3=1. f4=1. f5=1. f6=1. f7=1. f8=1. f9=1. f10=1. f11=1. f12=1. f13=1. f14=1. f15=1. f31=1. f32=1. f33=1. f34=1. f35=1. f36=1. f37=1. f38=1. f39=1. f40=1. f41=1. f42=1. f43=1. f44=1. f45=1. f46=1. f47=1. f48=1. f49=1. f50=1. f51=1. f52=1. f53=1. f54=1. f55=1. f56=1. f57=1. f58=1. f59=1. f60=1. f61=1. f62=1. 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. f905=1. f906=1. f907=1. f919=1. f920=1. f921=1. f922=1. f923=1. f934=1. f936=1. throw_list_char=1. red=1. transi2024712006on_val=1. addr=1. bool=1. transi374442731on_val=1. transi1906258203al_val=1. transi1095029602t_char=1. transi122195895t_char=1. transi1257872013t_char=1. transi1423755450al_val=1. transi1789604888t_char=1. transi198989188t_char=1. transi208336786on_val=1. transi61620055on_val=1. transi910771962on_val=1. transi921647814on_val=1. transi1395422419t_char=1. addr_of_sys_xcpt=1. transi935034983cl_val=1. widen_2090681816t_char=1. final_list_char=1. binop=1. reds=1. preallocated=1. typeof_h=1. transi1158914604har_ty=1. transi1325206117har_ty=1. transi1452021206t_char=1. transi15035776t_char=1. transi1630776058t_char=1. transi1751449568on_val=1. transi1803333868t_char=1. transi1927461808al_val=1. transi1953049786on_val=1. transi2072254650t_char=1. transi486718450al_val=1. transi594096122on_val=1. transi678815536on_val=1. transi935089046har_ty=1. finals_list_char=1. subcls851966956t_char=1. fv=1. size_s2113983095t_char=1. new_list_char=1. size_size_list_ty=1. blocks=1. dom_list_char_val=1. size_size_list_val=1. new_Addr=1. is_cla570604648t_char=1. produc1159035454l_bool=1. produc1555310053l_bool=1. produc156891095r_bool=1. produc1574020101r_bool=1. produc1838470831l_bool=1. produc1911975310l_bool=1. produc2053127004l_bool=1. produc2062775566l_bool=1. produc288369490r_bool=1. produc481748255l_bool=1. produc550034914r_bool=1. produc886919678l_bool=1. produc95371820r_bool=1. distinct_list_char=1. subcls744239332t_char=1. transi1065307915t_char=1. init_fields=1. produc1034940666l_bool=1. produc1073654846l_bool=1. produc1215659230y_bool=1. produc1268552608r_bool=1. produc1295142846r_bool=1. produc1497005946l_bool=1. produc1535899062r_bool=1. produc166740340y_bool=1. produc17861502r_bool=1. produc1969754044l_bool=1. produc1996970750l_bool=1. produc2091768109y_bool=1. produc715708746r_bool=1. produc971707818l_bool=1. set_list_char=1. collect_ty=1. dom_na996029170on_val=1. obj_ty=1. produc907433735ion_ty=1. size_s1143674878t_char=1. the_Addr=1. undefined_bop=1. f16=1. f17=1. f18=1. f19=1. f20=1. f21=1. f22=1. f23=1. f24=1. f25=1. f26=1. f27=1. f28=1. f29=1. f30=1. f63=1. f64=1. f65=1. f66=1. f67=1. f68=1. f69=1. f70=1. f71=1. f72=1. f73=1. f74=1. f75=1. f76=1. f77=1. f78=1. f79=1. f80=1. f81=1. f82=1. f83=1. f84=1. f85=1. f86=1. f87=1. f88=1. f89=1. f90=1. f91=1. f92=1. f93=1. f94=1. f152=1. f153=1. f154=1. f155=1. f156=1. f157=1. f158=1. f159=1. f160=1. f161=1. f162=1. f163=1. f164=1. f165=1. f166=1. f167=1. f168=1. f169=1. f170=1. f171=1. f172=1. f173=1. f174=1. f175=1. f176=1. f177=1. f178=1. f179=1. f180=1. f181=1. f182=1. f183=1. f184=1. f185=1. f186=1. f187=1. f188=1. f189=1. f190=1. f191=1. f192=1. f193=1. f194=1. f195=1. f196=1. f197=1. f198=1. f199=1. f200=1. f201=1. f202=1. f203=1. f204=1. f205=1. f206=1. f207=1. f208=1. f209=1. f210=1. f211=1. f212=1. f213=1. f214=1. f215=1. f216=1. f217=1. f218=1. f219=1. f220=1. f221=1. f222=1. f223=1. f224=1. f225=1. f226=1. f227=1. f228=1. f229=1. f230=1. f231=1. f232=1. f233=1. f234=1. f235=1. f236=1. f237=1. f238=1. f239=1. f240=1. f241=1. f242=1. f243=1. f244=1. f245=1. f246=1. f247=1. f248=1. f249=1. f250=1. f251=1. f252=1. f253=1. f254=1. f255=1. f256=1. f257=1. f258=1. f259=1. f260=1. f261=1. f262=1. f263=1. f264=1. f265=1. f266=1. f267=1. f268=1. 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. 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. 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. f866=1. f867=1. f868=1. f869=1. f870=1. f871=1. f872=1. f873=1. f926=1. f927=1. f935=1. f943=1. eval=1. binOp_list_char=1. redp=1. cond_list_char=1. block_list_char=1. call_list_char=1. fun_up1149430426on_val=1. fAcc_list_char=1. evals=1. fun_up2041264236on_val=1. fun_up424764369ion_ty=1. fun_up204312361on_val=1. redsp=1. fields1147507508t_char=1. map_up1085636310ar_val=1. list_all2_ty_ty=1. overri2012515291on_val=1. option1388193227on_val=1. f809=1. f810=1. f811=1. f812=1. f813=1. f814=1. f815=1. f816=1. f817=1. f818=1. f819=1. f820=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. f937=1. wTrt=1. wTrt_1=1. fAss_list_char=1. tryCatch_list_char=1. has_fi1183600461t_char=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. 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. f855=1. f856=1. f857=1. f858=1. f859=1. f860=1. f861=1. f862=1. f863=1. f864=1. f865=1. wTrts=1. wTrts_1=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. f738=1. f739=1. f740=1. f741=1. f742=1. f743=1. f744=1. f745=1. f746=1. f747=1. f748=1. f839=1. f874=1. f875=1. f904=1. f908=1. f909=1. f910=1. f911=1. f912=1. f913=1. method1809630380t_char=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. 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. 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. f892=1. f893=1. f894=1. f895=1. f914=1. f928=1. f929=1. f938=1. f889=1. f890=1. f891=1. f896=1. f897=1. f898=1. f899=1. f900=1. f901=1. f902=1. f903=1. f915=1. f916=1. f917=1. f918=1. f925=1. f939=1. f940=1. f941=1. f942=1. f924=1. f930=1. f931=1. f932=1. f933=1. f944=1.
% 22.73/22.94
% 22.73/22.94 ============================== end of process initial clauses ========
% 22.73/22.94
% 22.73/22.94 ============================== CLAUSES FOR SEARCH ====================
% 22.73/22.94
% 22.73/22.94 ============================== end of clauses for search =============
% 22.73/22.94
% 22.73/22.94 ============================== SEARCH ================================
% 22.73/22.94
% 22.73/22.94 % Starting search at 4.62 seconds.
% 22.73/22.94
% 22.73/22.94 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 45 (0.00 of 9.05 sec).
% 22.73/22.94
% 22.73/22.94 Low Water (keep): wt=48.000, iters=3423
% 22.73/22.94
% 22.73/22.94 Low Water (keep): wt=45.000, iters=3414
% 22.73/22.94
% 22.73/22.94 Low Water (keep): wt=44.000, iters=3443
% 22.73/22.94
% 22.73/22.94 Low Water (keep): wt=43.000, iters=3361
% 22.73/22.94
% 22.73/22.94 Low Water (keep): wt=42.000, iters=3365
% 22.73/22.94
% 22.73/22.94 Low Water (keep): wt=41.000, iters=3335
% 22.73/22.94
% 22.73/22.94 Low Water (keep): wt=40.000, iters=3333
% 22.73/22.94
% 22.73/22.94 Low Water (keep): wt=23.000, iters=3734
% 22.73/22.94
% 22.73/22.94 Low Water (keep): wt=22.000, iters=3440
% 22.73/22.94
% 22.73/22.94 Low Water (keep): wt=21.000, iters=3350
% 22.73/22.94
% 22.73/22.94 Low Water (keep): wt=20.000, iters=3650
% 22.73/22.94
% 22.73/22.94 Low Water (keep): wt=19.000, iters=3505
% 22.73/22.94
% 22.73/22.94 Low Water (keep): wt=18.000, iters=3469
% 22.73/22.94
% 22.73/22.94 Low Water (keep): wt=17.000, iters=3404
% 160.10/160.30
% 160.10/160.30 Low Water (displace): id=5539, wt=110.000
% 160.10/160.30
% 160.10/160.30 Low Water (displace): id=5638, wt=95.000
% 160.10/160.30
% 160.10/160.30 Low Water (displace): id=9375, wt=92.000
% 160.10/160.30
% 160.10/160.30 Low Water (displace): id=5817, wt=80.000
% 160.10/160.30
% 160.10/160.30 Low Water (displace): id=5548, wt=77.000
% 160.10/160.30
% 160.10/160.30 Low Water (displace): id=5549, wt=75.000
% 160.10/160.30
% 160.10/160.30 Low Water (displace): id=8161, wt=72.000
% 160.10/160.30
% 160.10/160.30 Low Water (displace): id=9379, wt=70.000
% 160.10/160.30
% 160.10/160.30 Low Water (displace): id=5646, wt=68.000
% 160.10/160.30
% 160.10/160.30 Low Water (displace): id=5647, wt=66.000
% 160.10/160.30
% 160.10/160.30 Low Water (displace): id=5821, wt=65.000
% 160.10/160.30
% 160.10/160.30 Low Water (displace): id=9376, wt=64.000
% 160.10/160.30
% 160.10/160.30 Low Water (displace): id=9443, wt=63.000
% 160.10/160.30
% 160.10/160.30 Low Water (displace): id=7803, wt=62.000
% 160.10/160.30
% 160.10/160.30 Low Water (keep): wt=16.000, iters=3353
% 160.10/160.30
% 160.10/160.30 Low Water (displace): id=8669, wt=61.000
% 160.10/160.30
% 160.10/160.30 Low Water (keep): wt=14.000, iters=4086
% 160.10/160.30
% 160.10/160.30 Low Water (displace): id=9371, wt=60.000
% 160.10/160.30
% 160.10/160.30 Low Water (displace): id=8670, wt=59.000
% 160.10/160.30
% 160.10/160.30 Low Water (displace): id=17218, wt=15.000
% 160.10/160.30
% 160.10/160.30 Low Water (displace): id=18361, wt=14.000
% 160.10/160.30
% 160.10/160.30 Low Water (displace): id=19598, wt=12.000
% 160.10/160.30
% 160.10/160.30 Low Water (displace): id=23222, wt=9.000
% 160.10/160.30
% 160.10/160.30 Low Water (keep): wt=13.000, iters=4728
% 160.10/160.30
% 160.10/160.30 ============================== STATISTICS ============================
% 160.10/160.30
% 160.10/160.30 Given=4344. Generated=1444951. Kept=66488. proofs=0.
% 160.10/160.30 Usable=3938. Sos=9999. Demods=603. Limbo=110, Disabled=54566. Hints=0.
% 160.10/160.30 Kept_by_rule=0, Deleted_by_rule=0.
% 160.10/160.30 Forward_subsumed=501990. Back_subsumed=66.
% 160.10/160.30 Sos_limit_deleted=876473. Sos_displaced=48972. Sos_removed=0.
% 160.10/160.30 New_demodulators=1500 (0 lex), Back_demodulated=3399. Back_unit_deleted=3.
% 160.10/160.30 Demod_attempts=16860551. Demod_rewrites=788315.
% 160.10/160.30 Res_instance_prunes=0. Para_instance_prunes=0. Basic_paramod_prunes=0.
% 160.10/160.30 Nonunit_fsub_feature_tests=993690. Nonunit_bsub_feature_tests=5796.
% 160.10/160.30 Megabytes=419.43.
% 160.10/160.30 User_CPU=157.05, System_CPU=1.06, Wall_clock=158.
% 160.10/160.30
% 160.10/160.30 Megs malloced by palloc(): 400.
% 160.10/160.30 type (bytes each) gets frees in use bytes
% 160.10/160.30 chunk ( 104) 57342 57342 0 0.0 K
% 160.10/160.30 string_buf ( 8) 49524 49524 0 0.0 K
% 160.10/160.30 token ( 20) 140035 140035 0 0.0 K
% 160.10/160.30 pterm ( 16) 77414 77414 0 0.0 K
% 160.10/160.30 hashtab ( 8) 1272 1272 0 0.0 K
% 160.10/160.30 hashnode ( 8) 4906 4906 0 0.0 K
% 160.10/160.30 term ( 20) 36185241 35408049 777192 15179.5 K
% 160.10/160.30 term arg arrays: 3718.8 K
% 160.10/160.30 attribute ( 12) 11752 434 11318 132.6 K
% 160.10/160.30 ilist ( 8) 2186879381 2186610463 268918 2100.9 K
% 160.10/160.30 plist ( 8) 1094779 994192 100587 785.8 K
% 160.10/160.30 i2list ( 12) 10091216 10091216 0 0.0 K
% 160.10/160.30 just ( 12) 2450318 2334787 115531 1353.9 K
% 160.10/160.30 parajust ( 16) 23948 19022 4926 77.0 K
% 160.10/160.30 instancejust ( 8) 0 0 0 0.0 K
% 160.10/160.30 ivyjust ( 24) 0 0 0 0.0 K
% 160.10/160.30 formula ( 28) 59453 36103 23350 638.5 K
% 160.10/160.30 formula arg arrays: 81.3 K
% 160.10/160.30 topform ( 52) 1448431 1378463 69968 3553.1 K
% 160.10/160.30 clist_pos ( 20) 197360 128144 69216 1351.9 K
% 160.10/160.30 clist ( 16) 8 1 7 0.1 K
% 160.10/160.30 context ( 808) 9770223 9770221 2 1.6 K
% 160.10/160.30 trail ( 12) 7996804 7996802 2 0.0 K
% 160.10/160.30 ac_match_pos (70044) 0 0 0 0.0 K
% 160.10/160.30 ac_match_free_vars_pos (20020)
% 160.10/160.30 0 0 0 0.0 K
% 160.10/160.30 btm_state ( 60) 0 0 0 0.0 K
% 160.10/160.30 btu_state ( 60) 0 0 0 0.0 K
% 160.10/160.30 ac_position (285432) 0 0 0 0.0 K
% 160.10/160.30 fpa_trie ( 20) 781307 245239 536068 10470.1 K
% 160.10/160.30 fpa_state ( 28) 976588 976585 3 0.1 K
% 160.10/160.30 fpa_index ( 12) 10 0 10 0.1 K
% 160.10/160.30 fpa_chunk ( 20) 460216 375180 85036 1660.9 K
% 160.10/160.30 fpa_list ( 16) 316297 0 316297 4942.1 K
% 160.10/160.30 fpa_list chunks: 2221.8 K
% 160.10/160.30 discrim ( 12) 29579 20298 9281 108.8 K
% 160.10/160.31 discrim_pos ( 16) 794188 794188 0 0.0 K
% 160.10/160.31 flat2 ( 32) 23416890 23416890 0 0.0 K
% 160.10/160.31 flat ( 48) 0 0 0 0.0 K
% 160.10/160.31 flatterm ( 32) 28989722 28989722 0 0.0 K
% 160.10/160.31 mindex ( 28) 13 0 13 0.4 K
% 160.10/160.31 mindex_pos ( 56) 6961793 6961792 1 0.1 K
% 160.10/160.31 lindex ( 12) 5 0 5 0.1 K
% 160.10/160.31 clash ( 40) 0 0 0 0.0 K
% 160.10/160.31 di_tree ( 12) 211238827 180685204 30553623 358050.3 K
% 160.10/160.31 avl_node ( 20) 130783 110785 19998 390.6 K
% 160.10/160.31
% 160.10/160.31 Memory report, 20 @ 20 = 400 megs (400.00 megs used).
% 160.10/160.31 List 1, length 4, 0.0 K
% 160.10/160.31 List 7, length 34, 0.9 K
% 160.10/160.31 List 8, length 17086, 533.9 K
% 160.10/160.31 List 9, length 8, 0.3 K
% 160.10/160.31 List 10, length 7, 0.3 K
% 160.10/160.31 List 11, length 8, 0.3 K
% 160.10/160.31 List 12, length 7, 0.3 K
% 160.10/160.31 List 14, length 1, 0.1 K
% 160.10/160.31 List 15, length 1, 0.1 K
% 160.10/160.31 List 16, length 3796, 237.2 K
% 160.10/160.31 List 24, length 2, 0.2 K
% 160.10/160.31 List 26, length 188, 19.1 K
% 160.10/160.31 List 32, length 943, 117.9 K
% 160.10/160.31 List 36, length 2, 0.3 K
% 160.10/160.31 List 64, length 208, 52.0 K
% 160.10/160.31 List 128, length 1, 0.5 K
% 160.10/160.31 List 202, length 2, 1.6 K
% 160.10/160.31
% 160.10/160.31 ============================== SELECTOR REPORT =======================
% 160.10/160.31 Sos_deleted=876473, Sos_displaced=48972, Sos_size=9999
% 160.10/160.31 SELECTOR PART PRIORITY ORDER SIZE SELECTED
% 160.10/160.31 I 2147483647 high age 0 1969
% 160.10/160.31 H 1 high weight 0 0
% 160.10/160.31 A 1 low age 9999 469
% 160.10/160.31 F 4 low weight 0 31
% 160.10/160.31 T 4 low weight 9999 1875
% 160.10/160.31 ============================== end of selector report ================
% 160.10/160.31
% 160.10/160.31 ============================== end of statistics =====================
% 160.10/160.31
% 160.10/160.31 Exiting with failure.
% 160.10/160.31
% 160.10/160.31 Process 9702 exit (max_megs) Sun Jun 5 04:08:50 2022
% 160.10/160.31 Prover9 interrupted
%------------------------------------------------------------------------------